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StackGenVis: Alignment of Data, Algorithms, and Models for Stacking Ensemble Learning Using Performance Metrics https://doi.org/10.1109/TVCG.2020.3030352
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StackGenVis/frontend/node_modules/gl-streamtube3d/build/example.js

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(function e(t,n,r){function s(o,u){if(!n[o]){if(!t[o]){var a=typeof require=="function"&&require;if(!u&&a)return a(o,!0);if(i)return i(o,!0);var f=new Error("Cannot find module '"+o+"'");throw f.code="MODULE_NOT_FOUND",f}var l=n[o]={exports:{}};t[o][0].call(l.exports,function(e){var n=t[o][1][e];return s(n?n:e)},l,l.exports,e,t,n,r)}return n[o].exports}var i=typeof require=="function"&&require;for(var o=0;o<r.length;o++)s(r[o]);return s})({1:[function(require,module,exports){
'use strict'
exports.byteLength = byteLength
exports.toByteArray = toByteArray
exports.fromByteArray = fromByteArray
var lookup = []
var revLookup = []
var Arr = typeof Uint8Array !== 'undefined' ? Uint8Array : Array
var code = 'ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/'
for (var i = 0, len = code.length; i < len; ++i) {
lookup[i] = code[i]
revLookup[code.charCodeAt(i)] = i
}
revLookup['-'.charCodeAt(0)] = 62
revLookup['_'.charCodeAt(0)] = 63
function placeHoldersCount (b64) {
var len = b64.length
if (len % 4 > 0) {
throw new Error('Invalid string. Length must be a multiple of 4')
}
// the number of equal signs (place holders)
// if there are two placeholders, than the two characters before it
// represent one byte
// if there is only one, then the three characters before it represent 2 bytes
// this is just a cheap hack to not do indexOf twice
return b64[len - 2] === '=' ? 2 : b64[len - 1] === '=' ? 1 : 0
}
function byteLength (b64) {
// base64 is 4/3 + up to two characters of the original data
return b64.length * 3 / 4 - placeHoldersCount(b64)
}
function toByteArray (b64) {
var i, j, l, tmp, placeHolders, arr
var len = b64.length
placeHolders = placeHoldersCount(b64)
arr = new Arr(len * 3 / 4 - placeHolders)
// if there are placeholders, only get up to the last complete 4 chars
l = placeHolders > 0 ? len - 4 : len
var L = 0
for (i = 0, j = 0; i < l; i += 4, j += 3) {
tmp = (revLookup[b64.charCodeAt(i)] << 18) | (revLookup[b64.charCodeAt(i + 1)] << 12) | (revLookup[b64.charCodeAt(i + 2)] << 6) | revLookup[b64.charCodeAt(i + 3)]
arr[L++] = (tmp >> 16) & 0xFF
arr[L++] = (tmp >> 8) & 0xFF
arr[L++] = tmp & 0xFF
}
if (placeHolders === 2) {
tmp = (revLookup[b64.charCodeAt(i)] << 2) | (revLookup[b64.charCodeAt(i + 1)] >> 4)
arr[L++] = tmp & 0xFF
} else if (placeHolders === 1) {
tmp = (revLookup[b64.charCodeAt(i)] << 10) | (revLookup[b64.charCodeAt(i + 1)] << 4) | (revLookup[b64.charCodeAt(i + 2)] >> 2)
arr[L++] = (tmp >> 8) & 0xFF
arr[L++] = tmp & 0xFF
}
return arr
}
function tripletToBase64 (num) {
return lookup[num >> 18 & 0x3F] + lookup[num >> 12 & 0x3F] + lookup[num >> 6 & 0x3F] + lookup[num & 0x3F]
}
function encodeChunk (uint8, start, end) {
var tmp
var output = []
for (var i = start; i < end; i += 3) {
tmp = (uint8[i] << 16) + (uint8[i + 1] << 8) + (uint8[i + 2])
output.push(tripletToBase64(tmp))
}
return output.join('')
}
function fromByteArray (uint8) {
var tmp
var len = uint8.length
var extraBytes = len % 3 // if we have 1 byte left, pad 2 bytes
var output = ''
var parts = []
var maxChunkLength = 16383 // must be multiple of 3
// go through the array every three bytes, we'll deal with trailing stuff later
for (var i = 0, len2 = len - extraBytes; i < len2; i += maxChunkLength) {
parts.push(encodeChunk(uint8, i, (i + maxChunkLength) > len2 ? len2 : (i + maxChunkLength)))
}
// pad the end with zeros, but make sure to not forget the extra bytes
if (extraBytes === 1) {
tmp = uint8[len - 1]
output += lookup[tmp >> 2]
output += lookup[(tmp << 4) & 0x3F]
output += '=='
} else if (extraBytes === 2) {
tmp = (uint8[len - 2] << 8) + (uint8[len - 1])
output += lookup[tmp >> 10]
output += lookup[(tmp >> 4) & 0x3F]
output += lookup[(tmp << 2) & 0x3F]
output += '='
}
parts.push(output)
return parts.join('')
}
},{}],2:[function(require,module,exports){
},{}],3:[function(require,module,exports){
/*!
* The buffer module from node.js, for the browser.
*
* @author Feross Aboukhadijeh <feross@feross.org> <http://feross.org>
* @license MIT
*/
/* eslint-disable no-proto */
'use strict'
var base64 = require('base64-js')
var ieee754 = require('ieee754')
exports.Buffer = Buffer
exports.SlowBuffer = SlowBuffer
exports.INSPECT_MAX_BYTES = 50
var K_MAX_LENGTH = 0x7fffffff
exports.kMaxLength = K_MAX_LENGTH
/**
* If `Buffer.TYPED_ARRAY_SUPPORT`:
* === true Use Uint8Array implementation (fastest)
* === false Print warning and recommend using `buffer` v4.x which has an Object
* implementation (most compatible, even IE6)
*
* Browsers that support typed arrays are IE 10+, Firefox 4+, Chrome 7+, Safari 5.1+,
* Opera 11.6+, iOS 4.2+.
*
* We report that the browser does not support typed arrays if the are not subclassable
* using __proto__. Firefox 4-29 lacks support for adding new properties to `Uint8Array`
* (See: https://bugzilla.mozilla.org/show_bug.cgi?id=695438). IE 10 lacks support
* for __proto__ and has a buggy typed array implementation.
*/
Buffer.TYPED_ARRAY_SUPPORT = typedArraySupport()
if (!Buffer.TYPED_ARRAY_SUPPORT && typeof console !== 'undefined' &&
typeof console.error === 'function') {
console.error(
'This browser lacks typed array (Uint8Array) support which is required by ' +
'`buffer` v5.x. Use `buffer` v4.x if you require old browser support.'
)
}
function typedArraySupport () {
// Can typed array instances can be augmented?
try {
var arr = new Uint8Array(1)
arr.__proto__ = {__proto__: Uint8Array.prototype, foo: function () { return 42 }}
return arr.foo() === 42
} catch (e) {
return false
}
}
function createBuffer (length) {
if (length > K_MAX_LENGTH) {
throw new RangeError('Invalid typed array length')
}
// Return an augmented `Uint8Array` instance
var buf = new Uint8Array(length)
buf.__proto__ = Buffer.prototype
return buf
}
/**
* The Buffer constructor returns instances of `Uint8Array` that have their
* prototype changed to `Buffer.prototype`. Furthermore, `Buffer` is a subclass of
* `Uint8Array`, so the returned instances will have all the node `Buffer` methods
* and the `Uint8Array` methods. Square bracket notation works as expected -- it
* returns a single octet.
*
* The `Uint8Array` prototype remains unmodified.
*/
function Buffer (arg, encodingOrOffset, length) {
// Common case.
if (typeof arg === 'number') {
if (typeof encodingOrOffset === 'string') {
throw new Error(
'If encoding is specified then the first argument must be a string'
)
}
return allocUnsafe(arg)
}
return from(arg, encodingOrOffset, length)
}
// Fix subarray() in ES2016. See: https://github.com/feross/buffer/pull/97
if (typeof Symbol !== 'undefined' && Symbol.species &&
Buffer[Symbol.species] === Buffer) {
Object.defineProperty(Buffer, Symbol.species, {
value: null,
configurable: true,
enumerable: false,
writable: false
})
}
Buffer.poolSize = 8192 // not used by this implementation
function from (value, encodingOrOffset, length) {
if (typeof value === 'number') {
throw new TypeError('"value" argument must not be a number')
}
if (value instanceof ArrayBuffer) {
return fromArrayBuffer(value, encodingOrOffset, length)
}
if (typeof value === 'string') {
return fromString(value, encodingOrOffset)
}
return fromObject(value)
}
/**
* Functionally equivalent to Buffer(arg, encoding) but throws a TypeError
* if value is a number.
* Buffer.from(str[, encoding])
* Buffer.from(array)
* Buffer.from(buffer)
* Buffer.from(arrayBuffer[, byteOffset[, length]])
**/
Buffer.from = function (value, encodingOrOffset, length) {
return from(value, encodingOrOffset, length)
}
// Note: Change prototype *after* Buffer.from is defined to workaround Chrome bug:
// https://github.com/feross/buffer/pull/148
Buffer.prototype.__proto__ = Uint8Array.prototype
Buffer.__proto__ = Uint8Array
function assertSize (size) {
if (typeof size !== 'number') {
throw new TypeError('"size" argument must be a number')
} else if (size < 0) {
throw new RangeError('"size" argument must not be negative')
}
}
function alloc (size, fill, encoding) {
assertSize(size)
if (size <= 0) {
return createBuffer(size)
}
if (fill !== undefined) {
// Only pay attention to encoding if it's a string. This
// prevents accidentally sending in a number that would
// be interpretted as a start offset.
return typeof encoding === 'string'
? createBuffer(size).fill(fill, encoding)
: createBuffer(size).fill(fill)
}
return createBuffer(size)
}
/**
* Creates a new filled Buffer instance.
* alloc(size[, fill[, encoding]])
**/
Buffer.alloc = function (size, fill, encoding) {
return alloc(size, fill, encoding)
}
function allocUnsafe (size) {
assertSize(size)
return createBuffer(size < 0 ? 0 : checked(size) | 0)
}
/**
* Equivalent to Buffer(num), by default creates a non-zero-filled Buffer instance.
* */
Buffer.allocUnsafe = function (size) {
return allocUnsafe(size)
}
/**
* Equivalent to SlowBuffer(num), by default creates a non-zero-filled Buffer instance.
*/
Buffer.allocUnsafeSlow = function (size) {
return allocUnsafe(size)
}
function fromString (string, encoding) {
if (typeof encoding !== 'string' || encoding === '') {
encoding = 'utf8'
}
if (!Buffer.isEncoding(encoding)) {
throw new TypeError('"encoding" must be a valid string encoding')
}
var length = byteLength(string, encoding) | 0
var buf = createBuffer(length)
var actual = buf.write(string, encoding)
if (actual !== length) {
// Writing a hex string, for example, that contains invalid characters will
// cause everything after the first invalid character to be ignored. (e.g.
// 'abxxcd' will be treated as 'ab')
buf = buf.slice(0, actual)
}
return buf
}
function fromArrayLike (array) {
var length = array.length < 0 ? 0 : checked(array.length) | 0
var buf = createBuffer(length)
for (var i = 0; i < length; i += 1) {
buf[i] = array[i] & 255
}
return buf
}
function fromArrayBuffer (array, byteOffset, length) {
if (byteOffset < 0 || array.byteLength < byteOffset) {
throw new RangeError('\'offset\' is out of bounds')
}
if (array.byteLength < byteOffset + (length || 0)) {
throw new RangeError('\'length\' is out of bounds')
}
var buf
if (byteOffset === undefined && length === undefined) {
buf = new Uint8Array(array)
} else if (length === undefined) {
buf = new Uint8Array(array, byteOffset)
} else {
buf = new Uint8Array(array, byteOffset, length)
}
// Return an augmented `Uint8Array` instance
buf.__proto__ = Buffer.prototype
return buf
}
function fromObject (obj) {
if (Buffer.isBuffer(obj)) {
var len = checked(obj.length) | 0
var buf = createBuffer(len)
if (buf.length === 0) {
return buf
}
obj.copy(buf, 0, 0, len)
return buf
}
if (obj) {
if (isArrayBufferView(obj) || 'length' in obj) {
if (typeof obj.length !== 'number' || numberIsNaN(obj.length)) {
return createBuffer(0)
}
return fromArrayLike(obj)
}
if (obj.type === 'Buffer' && Array.isArray(obj.data)) {
return fromArrayLike(obj.data)
}
}
throw new TypeError('First argument must be a string, Buffer, ArrayBuffer, Array, or array-like object.')
}
function checked (length) {
// Note: cannot use `length < K_MAX_LENGTH` here because that fails when
// length is NaN (which is otherwise coerced to zero.)
if (length >= K_MAX_LENGTH) {
throw new RangeError('Attempt to allocate Buffer larger than maximum ' +
'size: 0x' + K_MAX_LENGTH.toString(16) + ' bytes')
}
return length | 0
}
function SlowBuffer (length) {
if (+length != length) { // eslint-disable-line eqeqeq
length = 0
}
return Buffer.alloc(+length)
}
Buffer.isBuffer = function isBuffer (b) {
return b != null && b._isBuffer === true
}
Buffer.compare = function compare (a, b) {
if (!Buffer.isBuffer(a) || !Buffer.isBuffer(b)) {
throw new TypeError('Arguments must be Buffers')
}
if (a === b) return 0
var x = a.length
var y = b.length
for (var i = 0, len = Math.min(x, y); i < len; ++i) {
if (a[i] !== b[i]) {
x = a[i]
y = b[i]
break
}
}
if (x < y) return -1
if (y < x) return 1
return 0
}
Buffer.isEncoding = function isEncoding (encoding) {
switch (String(encoding).toLowerCase()) {
case 'hex':
case 'utf8':
case 'utf-8':
case 'ascii':
case 'latin1':
case 'binary':
case 'base64':
case 'ucs2':
case 'ucs-2':
case 'utf16le':
case 'utf-16le':
return true
default:
return false
}
}
Buffer.concat = function concat (list, length) {
if (!Array.isArray(list)) {
throw new TypeError('"list" argument must be an Array of Buffers')
}
if (list.length === 0) {
return Buffer.alloc(0)
}
var i
if (length === undefined) {
length = 0
for (i = 0; i < list.length; ++i) {
length += list[i].length
}
}
var buffer = Buffer.allocUnsafe(length)
var pos = 0
for (i = 0; i < list.length; ++i) {
var buf = list[i]
if (!Buffer.isBuffer(buf)) {
throw new TypeError('"list" argument must be an Array of Buffers')
}
buf.copy(buffer, pos)
pos += buf.length
}
return buffer
}
function byteLength (string, encoding) {
if (Buffer.isBuffer(string)) {
return string.length
}
if (isArrayBufferView(string) || string instanceof ArrayBuffer) {
return string.byteLength
}
if (typeof string !== 'string') {
string = '' + string
}
var len = string.length
if (len === 0) return 0
// Use a for loop to avoid recursion
var loweredCase = false
for (;;) {
switch (encoding) {
case 'ascii':
case 'latin1':
case 'binary':
return len
case 'utf8':
case 'utf-8':
case undefined:
return utf8ToBytes(string).length
case 'ucs2':
case 'ucs-2':
case 'utf16le':
case 'utf-16le':
return len * 2
case 'hex':
return len >>> 1
case 'base64':
return base64ToBytes(string).length
default:
if (loweredCase) return utf8ToBytes(string).length // assume utf8
encoding = ('' + encoding).toLowerCase()
loweredCase = true
}
}
}
Buffer.byteLength = byteLength
function slowToString (encoding, start, end) {
var loweredCase = false
// No need to verify that "this.length <= MAX_UINT32" since it's a read-only
// property of a typed array.
// This behaves neither like String nor Uint8Array in that we set start/end
// to their upper/lower bounds if the value passed is out of range.
// undefined is handled specially as per ECMA-262 6th Edition,
// Section 13.3.3.7 Runtime Semantics: KeyedBindingInitialization.
if (start === undefined || start < 0) {
start = 0
}
// Return early if start > this.length. Done here to prevent potential uint32
// coercion fail below.
if (start > this.length) {
return ''
}
if (end === undefined || end > this.length) {
end = this.length
}
if (end <= 0) {
return ''
}
// Force coersion to uint32. This will also coerce falsey/NaN values to 0.
end >>>= 0
start >>>= 0
if (end <= start) {
return ''
}
if (!encoding) encoding = 'utf8'
while (true) {
switch (encoding) {
case 'hex':
return hexSlice(this, start, end)
case 'utf8':
case 'utf-8':
return utf8Slice(this, start, end)
case 'ascii':
return asciiSlice(this, start, end)
case 'latin1':
case 'binary':
return latin1Slice(this, start, end)
case 'base64':
return base64Slice(this, start, end)
case 'ucs2':
case 'ucs-2':
case 'utf16le':
case 'utf-16le':
return utf16leSlice(this, start, end)
default:
if (loweredCase) throw new TypeError('Unknown encoding: ' + encoding)
encoding = (encoding + '').toLowerCase()
loweredCase = true
}
}
}
// This property is used by `Buffer.isBuffer` (and the `is-buffer` npm package)
// to detect a Buffer instance. It's not possible to use `instanceof Buffer`
// reliably in a browserify context because there could be multiple different
// copies of the 'buffer' package in use. This method works even for Buffer
// instances that were created from another copy of the `buffer` package.
// See: https://github.com/feross/buffer/issues/154
Buffer.prototype._isBuffer = true
function swap (b, n, m) {
var i = b[n]
b[n] = b[m]
b[m] = i
}
Buffer.prototype.swap16 = function swap16 () {
var len = this.length
if (len % 2 !== 0) {
throw new RangeError('Buffer size must be a multiple of 16-bits')
}
for (var i = 0; i < len; i += 2) {
swap(this, i, i + 1)
}
return this
}
Buffer.prototype.swap32 = function swap32 () {
var len = this.length
if (len % 4 !== 0) {
throw new RangeError('Buffer size must be a multiple of 32-bits')
}
for (var i = 0; i < len; i += 4) {
swap(this, i, i + 3)
swap(this, i + 1, i + 2)
}
return this
}
Buffer.prototype.swap64 = function swap64 () {
var len = this.length
if (len % 8 !== 0) {
throw new RangeError('Buffer size must be a multiple of 64-bits')
}
for (var i = 0; i < len; i += 8) {
swap(this, i, i + 7)
swap(this, i + 1, i + 6)
swap(this, i + 2, i + 5)
swap(this, i + 3, i + 4)
}
return this
}
Buffer.prototype.toString = function toString () {
var length = this.length
if (length === 0) return ''
if (arguments.length === 0) return utf8Slice(this, 0, length)
return slowToString.apply(this, arguments)
}
Buffer.prototype.equals = function equals (b) {
if (!Buffer.isBuffer(b)) throw new TypeError('Argument must be a Buffer')
if (this === b) return true
return Buffer.compare(this, b) === 0
}
Buffer.prototype.inspect = function inspect () {
var str = ''
var max = exports.INSPECT_MAX_BYTES
if (this.length > 0) {
str = this.toString('hex', 0, max).match(/.{2}/g).join(' ')
if (this.length > max) str += ' ... '
}
return '<Buffer ' + str + '>'
}
Buffer.prototype.compare = function compare (target, start, end, thisStart, thisEnd) {
if (!Buffer.isBuffer(target)) {
throw new TypeError('Argument must be a Buffer')
}
if (start === undefined) {
start = 0
}
if (end === undefined) {
end = target ? target.length : 0
}
if (thisStart === undefined) {
thisStart = 0
}
if (thisEnd === undefined) {
thisEnd = this.length
}
if (start < 0 || end > target.length || thisStart < 0 || thisEnd > this.length) {
throw new RangeError('out of range index')
}
if (thisStart >= thisEnd && start >= end) {
return 0
}
if (thisStart >= thisEnd) {
return -1
}
if (start >= end) {
return 1
}
start >>>= 0
end >>>= 0
thisStart >>>= 0
thisEnd >>>= 0
if (this === target) return 0
var x = thisEnd - thisStart
var y = end - start
var len = Math.min(x, y)
var thisCopy = this.slice(thisStart, thisEnd)
var targetCopy = target.slice(start, end)
for (var i = 0; i < len; ++i) {
if (thisCopy[i] !== targetCopy[i]) {
x = thisCopy[i]
y = targetCopy[i]
break
}
}
if (x < y) return -1
if (y < x) return 1
return 0
}
// Finds either the first index of `val` in `buffer` at offset >= `byteOffset`,
// OR the last index of `val` in `buffer` at offset <= `byteOffset`.
//
// Arguments:
// - buffer - a Buffer to search
// - val - a string, Buffer, or number
// - byteOffset - an index into `buffer`; will be clamped to an int32
// - encoding - an optional encoding, relevant is val is a string
// - dir - true for indexOf, false for lastIndexOf
function bidirectionalIndexOf (buffer, val, byteOffset, encoding, dir) {
// Empty buffer means no match
if (buffer.length === 0) return -1
// Normalize byteOffset
if (typeof byteOffset === 'string') {
encoding = byteOffset
byteOffset = 0
} else if (byteOffset > 0x7fffffff) {
byteOffset = 0x7fffffff
} else if (byteOffset < -0x80000000) {
byteOffset = -0x80000000
}
byteOffset = +byteOffset // Coerce to Number.
if (numberIsNaN(byteOffset)) {
// byteOffset: it it's undefined, null, NaN, "foo", etc, search whole buffer
byteOffset = dir ? 0 : (buffer.length - 1)
}
// Normalize byteOffset: negative offsets start from the end of the buffer
if (byteOffset < 0) byteOffset = buffer.length + byteOffset
if (byteOffset >= buffer.length) {
if (dir) return -1
else byteOffset = buffer.length - 1
} else if (byteOffset < 0) {
if (dir) byteOffset = 0
else return -1
}
// Normalize val
if (typeof val === 'string') {
val = Buffer.from(val, encoding)
}
// Finally, search either indexOf (if dir is true) or lastIndexOf
if (Buffer.isBuffer(val)) {
// Special case: looking for empty string/buffer always fails
if (val.length === 0) {
return -1
}
return arrayIndexOf(buffer, val, byteOffset, encoding, dir)
} else if (typeof val === 'number') {
val = val & 0xFF // Search for a byte value [0-255]
if (typeof Uint8Array.prototype.indexOf === 'function') {
if (dir) {
return Uint8Array.prototype.indexOf.call(buffer, val, byteOffset)
} else {
return Uint8Array.prototype.lastIndexOf.call(buffer, val, byteOffset)
}
}
return arrayIndexOf(buffer, [ val ], byteOffset, encoding, dir)
}
throw new TypeError('val must be string, number or Buffer')
}
function arrayIndexOf (arr, val, byteOffset, encoding, dir) {
var indexSize = 1
var arrLength = arr.length
var valLength = val.length
if (encoding !== undefined) {
encoding = String(encoding).toLowerCase()
if (encoding === 'ucs2' || encoding === 'ucs-2' ||
encoding === 'utf16le' || encoding === 'utf-16le') {
if (arr.length < 2 || val.length < 2) {
return -1
}
indexSize = 2
arrLength /= 2
valLength /= 2
byteOffset /= 2
}
}
function read (buf, i) {
if (indexSize === 1) {
return buf[i]
} else {
return buf.readUInt16BE(i * indexSize)
}
}
var i
if (dir) {
var foundIndex = -1
for (i = byteOffset; i < arrLength; i++) {
if (read(arr, i) === read(val, foundIndex === -1 ? 0 : i - foundIndex)) {
if (foundIndex === -1) foundIndex = i
if (i - foundIndex + 1 === valLength) return foundIndex * indexSize
} else {
if (foundIndex !== -1) i -= i - foundIndex
foundIndex = -1
}
}
} else {
if (byteOffset + valLength > arrLength) byteOffset = arrLength - valLength
for (i = byteOffset; i >= 0; i--) {
var found = true
for (var j = 0; j < valLength; j++) {
if (read(arr, i + j) !== read(val, j)) {
found = false
break
}
}
if (found) return i
}
}
return -1
}
Buffer.prototype.includes = function includes (val, byteOffset, encoding) {
return this.indexOf(val, byteOffset, encoding) !== -1
}
Buffer.prototype.indexOf = function indexOf (val, byteOffset, encoding) {
return bidirectionalIndexOf(this, val, byteOffset, encoding, true)
}
Buffer.prototype.lastIndexOf = function lastIndexOf (val, byteOffset, encoding) {
return bidirectionalIndexOf(this, val, byteOffset, encoding, false)
}
function hexWrite (buf, string, offset, length) {
offset = Number(offset) || 0
var remaining = buf.length - offset
if (!length) {
length = remaining
} else {
length = Number(length)
if (length > remaining) {
length = remaining
}
}
// must be an even number of digits
var strLen = string.length
if (strLen % 2 !== 0) throw new TypeError('Invalid hex string')
if (length > strLen / 2) {
length = strLen / 2
}
for (var i = 0; i < length; ++i) {
var parsed = parseInt(string.substr(i * 2, 2), 16)
if (numberIsNaN(parsed)) return i
buf[offset + i] = parsed
}
return i
}
function utf8Write (buf, string, offset, length) {
return blitBuffer(utf8ToBytes(string, buf.length - offset), buf, offset, length)
}
function asciiWrite (buf, string, offset, length) {
return blitBuffer(asciiToBytes(string), buf, offset, length)
}
function latin1Write (buf, string, offset, length) {
return asciiWrite(buf, string, offset, length)
}
function base64Write (buf, string, offset, length) {
return blitBuffer(base64ToBytes(string), buf, offset, length)
}
function ucs2Write (buf, string, offset, length) {
return blitBuffer(utf16leToBytes(string, buf.length - offset), buf, offset, length)
}
Buffer.prototype.write = function write (string, offset, length, encoding) {
// Buffer#write(string)
if (offset === undefined) {
encoding = 'utf8'
length = this.length
offset = 0
// Buffer#write(string, encoding)
} else if (length === undefined && typeof offset === 'string') {
encoding = offset
length = this.length
offset = 0
// Buffer#write(string, offset[, length][, encoding])
} else if (isFinite(offset)) {
offset = offset >>> 0
if (isFinite(length)) {
length = length >>> 0
if (encoding === undefined) encoding = 'utf8'
} else {
encoding = length
length = undefined
}
} else {
throw new Error(
'Buffer.write(string, encoding, offset[, length]) is no longer supported'
)
}
var remaining = this.length - offset
if (length === undefined || length > remaining) length = remaining
if ((string.length > 0 && (length < 0 || offset < 0)) || offset > this.length) {
throw new RangeError('Attempt to write outside buffer bounds')
}
if (!encoding) encoding = 'utf8'
var loweredCase = false
for (;;) {
switch (encoding) {
case 'hex':
return hexWrite(this, string, offset, length)
case 'utf8':
case 'utf-8':
return utf8Write(this, string, offset, length)
case 'ascii':
return asciiWrite(this, string, offset, length)
case 'latin1':
case 'binary':
return latin1Write(this, string, offset, length)
case 'base64':
// Warning: maxLength not taken into account in base64Write
return base64Write(this, string, offset, length)
case 'ucs2':
case 'ucs-2':
case 'utf16le':
case 'utf-16le':
return ucs2Write(this, string, offset, length)
default:
if (loweredCase) throw new TypeError('Unknown encoding: ' + encoding)
encoding = ('' + encoding).toLowerCase()
loweredCase = true
}
}
}
Buffer.prototype.toJSON = function toJSON () {
return {
type: 'Buffer',
data: Array.prototype.slice.call(this._arr || this, 0)
}
}
function base64Slice (buf, start, end) {
if (start === 0 && end === buf.length) {
return base64.fromByteArray(buf)
} else {
return base64.fromByteArray(buf.slice(start, end))
}
}
function utf8Slice (buf, start, end) {
end = Math.min(buf.length, end)
var res = []
var i = start
while (i < end) {
var firstByte = buf[i]
var codePoint = null
var bytesPerSequence = (firstByte > 0xEF) ? 4
: (firstByte > 0xDF) ? 3
: (firstByte > 0xBF) ? 2
: 1
if (i + bytesPerSequence <= end) {
var secondByte, thirdByte, fourthByte, tempCodePoint
switch (bytesPerSequence) {
case 1:
if (firstByte < 0x80) {
codePoint = firstByte
}
break
case 2:
secondByte = buf[i + 1]
if ((secondByte & 0xC0) === 0x80) {
tempCodePoint = (firstByte & 0x1F) << 0x6 | (secondByte & 0x3F)
if (tempCodePoint > 0x7F) {
codePoint = tempCodePoint
}
}
break
case 3:
secondByte = buf[i + 1]
thirdByte = buf[i + 2]
if ((secondByte & 0xC0) === 0x80 && (thirdByte & 0xC0) === 0x80) {
tempCodePoint = (firstByte & 0xF) << 0xC | (secondByte & 0x3F) << 0x6 | (thirdByte & 0x3F)
if (tempCodePoint > 0x7FF && (tempCodePoint < 0xD800 || tempCodePoint > 0xDFFF)) {
codePoint = tempCodePoint
}
}
break
case 4:
secondByte = buf[i + 1]
thirdByte = buf[i + 2]
fourthByte = buf[i + 3]
if ((secondByte & 0xC0) === 0x80 && (thirdByte & 0xC0) === 0x80 && (fourthByte & 0xC0) === 0x80) {
tempCodePoint = (firstByte & 0xF) << 0x12 | (secondByte & 0x3F) << 0xC | (thirdByte & 0x3F) << 0x6 | (fourthByte & 0x3F)
if (tempCodePoint > 0xFFFF && tempCodePoint < 0x110000) {
codePoint = tempCodePoint
}
}
}
}
if (codePoint === null) {
// we did not generate a valid codePoint so insert a
// replacement char (U+FFFD) and advance only 1 byte
codePoint = 0xFFFD
bytesPerSequence = 1
} else if (codePoint > 0xFFFF) {
// encode to utf16 (surrogate pair dance)
codePoint -= 0x10000
res.push(codePoint >>> 10 & 0x3FF | 0xD800)
codePoint = 0xDC00 | codePoint & 0x3FF
}
res.push(codePoint)
i += bytesPerSequence
}
return decodeCodePointsArray(res)
}
// Based on http://stackoverflow.com/a/22747272/680742, the browser with
// the lowest limit is Chrome, with 0x10000 args.
// We go 1 magnitude less, for safety
var MAX_ARGUMENTS_LENGTH = 0x1000
function decodeCodePointsArray (codePoints) {
var len = codePoints.length
if (len <= MAX_ARGUMENTS_LENGTH) {
return String.fromCharCode.apply(String, codePoints) // avoid extra slice()
}
// Decode in chunks to avoid "call stack size exceeded".
var res = ''
var i = 0
while (i < len) {
res += String.fromCharCode.apply(
String,
codePoints.slice(i, i += MAX_ARGUMENTS_LENGTH)
)
}
return res
}
function asciiSlice (buf, start, end) {
var ret = ''
end = Math.min(buf.length, end)
for (var i = start; i < end; ++i) {
ret += String.fromCharCode(buf[i] & 0x7F)
}
return ret
}
function latin1Slice (buf, start, end) {
var ret = ''
end = Math.min(buf.length, end)
for (var i = start; i < end; ++i) {
ret += String.fromCharCode(buf[i])
}
return ret
}
function hexSlice (buf, start, end) {
var len = buf.length
if (!start || start < 0) start = 0
if (!end || end < 0 || end > len) end = len
var out = ''
for (var i = start; i < end; ++i) {
out += toHex(buf[i])
}
return out
}
function utf16leSlice (buf, start, end) {
var bytes = buf.slice(start, end)
var res = ''
for (var i = 0; i < bytes.length; i += 2) {
res += String.fromCharCode(bytes[i] + (bytes[i + 1] * 256))
}
return res
}
Buffer.prototype.slice = function slice (start, end) {
var len = this.length
start = ~~start
end = end === undefined ? len : ~~end
if (start < 0) {
start += len
if (start < 0) start = 0
} else if (start > len) {
start = len
}
if (end < 0) {
end += len
if (end < 0) end = 0
} else if (end > len) {
end = len
}
if (end < start) end = start
var newBuf = this.subarray(start, end)
// Return an augmented `Uint8Array` instance
newBuf.__proto__ = Buffer.prototype
return newBuf
}
/*
* Need to make sure that buffer isn't trying to write out of bounds.
*/
function checkOffset (offset, ext, length) {
if ((offset % 1) !== 0 || offset < 0) throw new RangeError('offset is not uint')
if (offset + ext > length) throw new RangeError('Trying to access beyond buffer length')
}
Buffer.prototype.readUIntLE = function readUIntLE (offset, byteLength, noAssert) {
offset = offset >>> 0
byteLength = byteLength >>> 0
if (!noAssert) checkOffset(offset, byteLength, this.length)
var val = this[offset]
var mul = 1
var i = 0
while (++i < byteLength && (mul *= 0x100)) {
val += this[offset + i] * mul
}
return val
}
Buffer.prototype.readUIntBE = function readUIntBE (offset, byteLength, noAssert) {
offset = offset >>> 0
byteLength = byteLength >>> 0
if (!noAssert) {
checkOffset(offset, byteLength, this.length)
}
var val = this[offset + --byteLength]
var mul = 1
while (byteLength > 0 && (mul *= 0x100)) {
val += this[offset + --byteLength] * mul
}
return val
}
Buffer.prototype.readUInt8 = function readUInt8 (offset, noAssert) {
offset = offset >>> 0
if (!noAssert) checkOffset(offset, 1, this.length)
return this[offset]
}
Buffer.prototype.readUInt16LE = function readUInt16LE (offset, noAssert) {
offset = offset >>> 0
if (!noAssert) checkOffset(offset, 2, this.length)
return this[offset] | (this[offset + 1] << 8)
}
Buffer.prototype.readUInt16BE = function readUInt16BE (offset, noAssert) {
offset = offset >>> 0
if (!noAssert) checkOffset(offset, 2, this.length)
return (this[offset] << 8) | this[offset + 1]
}
Buffer.prototype.readUInt32LE = function readUInt32LE (offset, noAssert) {
offset = offset >>> 0
if (!noAssert) checkOffset(offset, 4, this.length)
return ((this[offset]) |
(this[offset + 1] << 8) |
(this[offset + 2] << 16)) +
(this[offset + 3] * 0x1000000)
}
Buffer.prototype.readUInt32BE = function readUInt32BE (offset, noAssert) {
offset = offset >>> 0
if (!noAssert) checkOffset(offset, 4, this.length)
return (this[offset] * 0x1000000) +
((this[offset + 1] << 16) |
(this[offset + 2] << 8) |
this[offset + 3])
}
Buffer.prototype.readIntLE = function readIntLE (offset, byteLength, noAssert) {
offset = offset >>> 0
byteLength = byteLength >>> 0
if (!noAssert) checkOffset(offset, byteLength, this.length)
var val = this[offset]
var mul = 1
var i = 0
while (++i < byteLength && (mul *= 0x100)) {
val += this[offset + i] * mul
}
mul *= 0x80
if (val >= mul) val -= Math.pow(2, 8 * byteLength)
return val
}
Buffer.prototype.readIntBE = function readIntBE (offset, byteLength, noAssert) {
offset = offset >>> 0
byteLength = byteLength >>> 0
if (!noAssert) checkOffset(offset, byteLength, this.length)
var i = byteLength
var mul = 1
var val = this[offset + --i]
while (i > 0 && (mul *= 0x100)) {
val += this[offset + --i] * mul
}
mul *= 0x80
if (val >= mul) val -= Math.pow(2, 8 * byteLength)
return val
}
Buffer.prototype.readInt8 = function readInt8 (offset, noAssert) {
offset = offset >>> 0
if (!noAssert) checkOffset(offset, 1, this.length)
if (!(this[offset] & 0x80)) return (this[offset])
return ((0xff - this[offset] + 1) * -1)
}
Buffer.prototype.readInt16LE = function readInt16LE (offset, noAssert) {
offset = offset >>> 0
if (!noAssert) checkOffset(offset, 2, this.length)
var val = this[offset] | (this[offset + 1] << 8)
return (val & 0x8000) ? val | 0xFFFF0000 : val
}
Buffer.prototype.readInt16BE = function readInt16BE (offset, noAssert) {
offset = offset >>> 0
if (!noAssert) checkOffset(offset, 2, this.length)
var val = this[offset + 1] | (this[offset] << 8)
return (val & 0x8000) ? val | 0xFFFF0000 : val
}
Buffer.prototype.readInt32LE = function readInt32LE (offset, noAssert) {
offset = offset >>> 0
if (!noAssert) checkOffset(offset, 4, this.length)
return (this[offset]) |
(this[offset + 1] << 8) |
(this[offset + 2] << 16) |
(this[offset + 3] << 24)
}
Buffer.prototype.readInt32BE = function readInt32BE (offset, noAssert) {
offset = offset >>> 0
if (!noAssert) checkOffset(offset, 4, this.length)
return (this[offset] << 24) |
(this[offset + 1] << 16) |
(this[offset + 2] << 8) |
(this[offset + 3])
}
Buffer.prototype.readFloatLE = function readFloatLE (offset, noAssert) {
offset = offset >>> 0
if (!noAssert) checkOffset(offset, 4, this.length)
return ieee754.read(this, offset, true, 23, 4)
}
Buffer.prototype.readFloatBE = function readFloatBE (offset, noAssert) {
offset = offset >>> 0
if (!noAssert) checkOffset(offset, 4, this.length)
return ieee754.read(this, offset, false, 23, 4)
}
Buffer.prototype.readDoubleLE = function readDoubleLE (offset, noAssert) {
offset = offset >>> 0
if (!noAssert) checkOffset(offset, 8, this.length)
return ieee754.read(this, offset, true, 52, 8)
}
Buffer.prototype.readDoubleBE = function readDoubleBE (offset, noAssert) {
offset = offset >>> 0
if (!noAssert) checkOffset(offset, 8, this.length)
return ieee754.read(this, offset, false, 52, 8)
}
function checkInt (buf, value, offset, ext, max, min) {
if (!Buffer.isBuffer(buf)) throw new TypeError('"buffer" argument must be a Buffer instance')
if (value > max || value < min) throw new RangeError('"value" argument is out of bounds')
if (offset + ext > buf.length) throw new RangeError('Index out of range')
}
Buffer.prototype.writeUIntLE = function writeUIntLE (value, offset, byteLength, noAssert) {
value = +value
offset = offset >>> 0
byteLength = byteLength >>> 0
if (!noAssert) {
var maxBytes = Math.pow(2, 8 * byteLength) - 1
checkInt(this, value, offset, byteLength, maxBytes, 0)
}
var mul = 1
var i = 0
this[offset] = value & 0xFF
while (++i < byteLength && (mul *= 0x100)) {
this[offset + i] = (value / mul) & 0xFF
}
return offset + byteLength
}
Buffer.prototype.writeUIntBE = function writeUIntBE (value, offset, byteLength, noAssert) {
value = +value
offset = offset >>> 0
byteLength = byteLength >>> 0
if (!noAssert) {
var maxBytes = Math.pow(2, 8 * byteLength) - 1
checkInt(this, value, offset, byteLength, maxBytes, 0)
}
var i = byteLength - 1
var mul = 1
this[offset + i] = value & 0xFF
while (--i >= 0 && (mul *= 0x100)) {
this[offset + i] = (value / mul) & 0xFF
}
return offset + byteLength
}
Buffer.prototype.writeUInt8 = function writeUInt8 (value, offset, noAssert) {
value = +value
offset = offset >>> 0
if (!noAssert) checkInt(this, value, offset, 1, 0xff, 0)
this[offset] = (value & 0xff)
return offset + 1
}
Buffer.prototype.writeUInt16LE = function writeUInt16LE (value, offset, noAssert) {
value = +value
offset = offset >>> 0
if (!noAssert) checkInt(this, value, offset, 2, 0xffff, 0)
this[offset] = (value & 0xff)
this[offset + 1] = (value >>> 8)
return offset + 2
}
Buffer.prototype.writeUInt16BE = function writeUInt16BE (value, offset, noAssert) {
value = +value
offset = offset >>> 0
if (!noAssert) checkInt(this, value, offset, 2, 0xffff, 0)
this[offset] = (value >>> 8)
this[offset + 1] = (value & 0xff)
return offset + 2
}
Buffer.prototype.writeUInt32LE = function writeUInt32LE (value, offset, noAssert) {
value = +value
offset = offset >>> 0
if (!noAssert) checkInt(this, value, offset, 4, 0xffffffff, 0)
this[offset + 3] = (value >>> 24)
this[offset + 2] = (value >>> 16)
this[offset + 1] = (value >>> 8)
this[offset] = (value & 0xff)
return offset + 4
}
Buffer.prototype.writeUInt32BE = function writeUInt32BE (value, offset, noAssert) {
value = +value
offset = offset >>> 0
if (!noAssert) checkInt(this, value, offset, 4, 0xffffffff, 0)
this[offset] = (value >>> 24)
this[offset + 1] = (value >>> 16)
this[offset + 2] = (value >>> 8)
this[offset + 3] = (value & 0xff)
return offset + 4
}
Buffer.prototype.writeIntLE = function writeIntLE (value, offset, byteLength, noAssert) {
value = +value
offset = offset >>> 0
if (!noAssert) {
var limit = Math.pow(2, (8 * byteLength) - 1)
checkInt(this, value, offset, byteLength, limit - 1, -limit)
}
var i = 0
var mul = 1
var sub = 0
this[offset] = value & 0xFF
while (++i < byteLength && (mul *= 0x100)) {
if (value < 0 && sub === 0 && this[offset + i - 1] !== 0) {
sub = 1
}
this[offset + i] = ((value / mul) >> 0) - sub & 0xFF
}
return offset + byteLength
}
Buffer.prototype.writeIntBE = function writeIntBE (value, offset, byteLength, noAssert) {
value = +value
offset = offset >>> 0
if (!noAssert) {
var limit = Math.pow(2, (8 * byteLength) - 1)
checkInt(this, value, offset, byteLength, limit - 1, -limit)
}
var i = byteLength - 1
var mul = 1
var sub = 0
this[offset + i] = value & 0xFF
while (--i >= 0 && (mul *= 0x100)) {
if (value < 0 && sub === 0 && this[offset + i + 1] !== 0) {
sub = 1
}
this[offset + i] = ((value / mul) >> 0) - sub & 0xFF
}
return offset + byteLength
}
Buffer.prototype.writeInt8 = function writeInt8 (value, offset, noAssert) {
value = +value
offset = offset >>> 0
if (!noAssert) checkInt(this, value, offset, 1, 0x7f, -0x80)
if (value < 0) value = 0xff + value + 1
this[offset] = (value & 0xff)
return offset + 1
}
Buffer.prototype.writeInt16LE = function writeInt16LE (value, offset, noAssert) {
value = +value
offset = offset >>> 0
if (!noAssert) checkInt(this, value, offset, 2, 0x7fff, -0x8000)
this[offset] = (value & 0xff)
this[offset + 1] = (value >>> 8)
return offset + 2
}
Buffer.prototype.writeInt16BE = function writeInt16BE (value, offset, noAssert) {
value = +value
offset = offset >>> 0
if (!noAssert) checkInt(this, value, offset, 2, 0x7fff, -0x8000)
this[offset] = (value >>> 8)
this[offset + 1] = (value & 0xff)
return offset + 2
}
Buffer.prototype.writeInt32LE = function writeInt32LE (value, offset, noAssert) {
value = +value
offset = offset >>> 0
if (!noAssert) checkInt(this, value, offset, 4, 0x7fffffff, -0x80000000)
this[offset] = (value & 0xff)
this[offset + 1] = (value >>> 8)
this[offset + 2] = (value >>> 16)
this[offset + 3] = (value >>> 24)
return offset + 4
}
Buffer.prototype.writeInt32BE = function writeInt32BE (value, offset, noAssert) {
value = +value
offset = offset >>> 0
if (!noAssert) checkInt(this, value, offset, 4, 0x7fffffff, -0x80000000)
if (value < 0) value = 0xffffffff + value + 1
this[offset] = (value >>> 24)
this[offset + 1] = (value >>> 16)
this[offset + 2] = (value >>> 8)
this[offset + 3] = (value & 0xff)
return offset + 4
}
function checkIEEE754 (buf, value, offset, ext, max, min) {
if (offset + ext > buf.length) throw new RangeError('Index out of range')
if (offset < 0) throw new RangeError('Index out of range')
}
function writeFloat (buf, value, offset, littleEndian, noAssert) {
value = +value
offset = offset >>> 0
if (!noAssert) {
checkIEEE754(buf, value, offset, 4, 3.4028234663852886e+38, -3.4028234663852886e+38)
}
ieee754.write(buf, value, offset, littleEndian, 23, 4)
return offset + 4
}
Buffer.prototype.writeFloatLE = function writeFloatLE (value, offset, noAssert) {
return writeFloat(this, value, offset, true, noAssert)
}
Buffer.prototype.writeFloatBE = function writeFloatBE (value, offset, noAssert) {
return writeFloat(this, value, offset, false, noAssert)
}
function writeDouble (buf, value, offset, littleEndian, noAssert) {
value = +value
offset = offset >>> 0
if (!noAssert) {
checkIEEE754(buf, value, offset, 8, 1.7976931348623157E+308, -1.7976931348623157E+308)
}
ieee754.write(buf, value, offset, littleEndian, 52, 8)
return offset + 8
}
Buffer.prototype.writeDoubleLE = function writeDoubleLE (value, offset, noAssert) {
return writeDouble(this, value, offset, true, noAssert)
}
Buffer.prototype.writeDoubleBE = function writeDoubleBE (value, offset, noAssert) {
return writeDouble(this, value, offset, false, noAssert)
}
// copy(targetBuffer, targetStart=0, sourceStart=0, sourceEnd=buffer.length)
Buffer.prototype.copy = function copy (target, targetStart, start, end) {
if (!start) start = 0
if (!end && end !== 0) end = this.length
if (targetStart >= target.length) targetStart = target.length
if (!targetStart) targetStart = 0
if (end > 0 && end < start) end = start
// Copy 0 bytes; we're done
if (end === start) return 0
if (target.length === 0 || this.length === 0) return 0
// Fatal error conditions
if (targetStart < 0) {
throw new RangeError('targetStart out of bounds')
}
if (start < 0 || start >= this.length) throw new RangeError('sourceStart out of bounds')
if (end < 0) throw new RangeError('sourceEnd out of bounds')
// Are we oob?
if (end > this.length) end = this.length
if (target.length - targetStart < end - start) {
end = target.length - targetStart + start
}
var len = end - start
var i
if (this === target && start < targetStart && targetStart < end) {
// descending copy from end
for (i = len - 1; i >= 0; --i) {
target[i + targetStart] = this[i + start]
}
} else if (len < 1000) {
// ascending copy from start
for (i = 0; i < len; ++i) {
target[i + targetStart] = this[i + start]
}
} else {
Uint8Array.prototype.set.call(
target,
this.subarray(start, start + len),
targetStart
)
}
return len
}
// Usage:
// buffer.fill(number[, offset[, end]])
// buffer.fill(buffer[, offset[, end]])
// buffer.fill(string[, offset[, end]][, encoding])
Buffer.prototype.fill = function fill (val, start, end, encoding) {
// Handle string cases:
if (typeof val === 'string') {
if (typeof start === 'string') {
encoding = start
start = 0
end = this.length
} else if (typeof end === 'string') {
encoding = end
end = this.length
}
if (val.length === 1) {
var code = val.charCodeAt(0)
if (code < 256) {
val = code
}
}
if (encoding !== undefined && typeof encoding !== 'string') {
throw new TypeError('encoding must be a string')
}
if (typeof encoding === 'string' && !Buffer.isEncoding(encoding)) {
throw new TypeError('Unknown encoding: ' + encoding)
}
} else if (typeof val === 'number') {
val = val & 255
}
// Invalid ranges are not set to a default, so can range check early.
if (start < 0 || this.length < start || this.length < end) {
throw new RangeError('Out of range index')
}
if (end <= start) {
return this
}
start = start >>> 0
end = end === undefined ? this.length : end >>> 0
if (!val) val = 0
var i
if (typeof val === 'number') {
for (i = start; i < end; ++i) {
this[i] = val
}
} else {
var bytes = Buffer.isBuffer(val)
? val
: new Buffer(val, encoding)
var len = bytes.length
for (i = 0; i < end - start; ++i) {
this[i + start] = bytes[i % len]
}
}
return this
}
// HELPER FUNCTIONS
// ================
var INVALID_BASE64_RE = /[^+/0-9A-Za-z-_]/g
function base64clean (str) {
// Node strips out invalid characters like \n and \t from the string, base64-js does not
str = str.trim().replace(INVALID_BASE64_RE, '')
// Node converts strings with length < 2 to ''
if (str.length < 2) return ''
// Node allows for non-padded base64 strings (missing trailing ===), base64-js does not
while (str.length % 4 !== 0) {
str = str + '='
}
return str
}
function toHex (n) {
if (n < 16) return '0' + n.toString(16)
return n.toString(16)
}
function utf8ToBytes (string, units) {
units = units || Infinity
var codePoint
var length = string.length
var leadSurrogate = null
var bytes = []
for (var i = 0; i < length; ++i) {
codePoint = string.charCodeAt(i)
// is surrogate component
if (codePoint > 0xD7FF && codePoint < 0xE000) {
// last char was a lead
if (!leadSurrogate) {
// no lead yet
if (codePoint > 0xDBFF) {
// unexpected trail
if ((units -= 3) > -1) bytes.push(0xEF, 0xBF, 0xBD)
continue
} else if (i + 1 === length) {
// unpaired lead
if ((units -= 3) > -1) bytes.push(0xEF, 0xBF, 0xBD)
continue
}
// valid lead
leadSurrogate = codePoint
continue
}
// 2 leads in a row
if (codePoint < 0xDC00) {
if ((units -= 3) > -1) bytes.push(0xEF, 0xBF, 0xBD)
leadSurrogate = codePoint
continue
}
// valid surrogate pair
codePoint = (leadSurrogate - 0xD800 << 10 | codePoint - 0xDC00) + 0x10000
} else if (leadSurrogate) {
// valid bmp char, but last char was a lead
if ((units -= 3) > -1) bytes.push(0xEF, 0xBF, 0xBD)
}
leadSurrogate = null
// encode utf8
if (codePoint < 0x80) {
if ((units -= 1) < 0) break
bytes.push(codePoint)
} else if (codePoint < 0x800) {
if ((units -= 2) < 0) break
bytes.push(
codePoint >> 0x6 | 0xC0,
codePoint & 0x3F | 0x80
)
} else if (codePoint < 0x10000) {
if ((units -= 3) < 0) break
bytes.push(
codePoint >> 0xC | 0xE0,
codePoint >> 0x6 & 0x3F | 0x80,
codePoint & 0x3F | 0x80
)
} else if (codePoint < 0x110000) {
if ((units -= 4) < 0) break
bytes.push(
codePoint >> 0x12 | 0xF0,
codePoint >> 0xC & 0x3F | 0x80,
codePoint >> 0x6 & 0x3F | 0x80,
codePoint & 0x3F | 0x80
)
} else {
throw new Error('Invalid code point')
}
}
return bytes
}
function asciiToBytes (str) {
var byteArray = []
for (var i = 0; i < str.length; ++i) {
// Node's code seems to be doing this and not & 0x7F..
byteArray.push(str.charCodeAt(i) & 0xFF)
}
return byteArray
}
function utf16leToBytes (str, units) {
var c, hi, lo
var byteArray = []
for (var i = 0; i < str.length; ++i) {
if ((units -= 2) < 0) break
c = str.charCodeAt(i)
hi = c >> 8
lo = c % 256
byteArray.push(lo)
byteArray.push(hi)
}
return byteArray
}
function base64ToBytes (str) {
return base64.toByteArray(base64clean(str))
}
function blitBuffer (src, dst, offset, length) {
for (var i = 0; i < length; ++i) {
if ((i + offset >= dst.length) || (i >= src.length)) break
dst[i + offset] = src[i]
}
return i
}
// Node 0.10 supports `ArrayBuffer` but lacks `ArrayBuffer.isView`
function isArrayBufferView (obj) {
return (typeof ArrayBuffer.isView === 'function') && ArrayBuffer.isView(obj)
}
function numberIsNaN (obj) {
return obj !== obj // eslint-disable-line no-self-compare
}
},{"base64-js":1,"ieee754":4}],4:[function(require,module,exports){
exports.read = function (buffer, offset, isLE, mLen, nBytes) {
var e, m
var eLen = nBytes * 8 - mLen - 1
var eMax = (1 << eLen) - 1
var eBias = eMax >> 1
var nBits = -7
var i = isLE ? (nBytes - 1) : 0
var d = isLE ? -1 : 1
var s = buffer[offset + i]
i += d
e = s & ((1 << (-nBits)) - 1)
s >>= (-nBits)
nBits += eLen
for (; nBits > 0; e = e * 256 + buffer[offset + i], i += d, nBits -= 8) {}
m = e & ((1 << (-nBits)) - 1)
e >>= (-nBits)
nBits += mLen
for (; nBits > 0; m = m * 256 + buffer[offset + i], i += d, nBits -= 8) {}
if (e === 0) {
e = 1 - eBias
} else if (e === eMax) {
return m ? NaN : ((s ? -1 : 1) * Infinity)
} else {
m = m + Math.pow(2, mLen)
e = e - eBias
}
return (s ? -1 : 1) * m * Math.pow(2, e - mLen)
}
exports.write = function (buffer, value, offset, isLE, mLen, nBytes) {
var e, m, c
var eLen = nBytes * 8 - mLen - 1
var eMax = (1 << eLen) - 1
var eBias = eMax >> 1
var rt = (mLen === 23 ? Math.pow(2, -24) - Math.pow(2, -77) : 0)
var i = isLE ? 0 : (nBytes - 1)
var d = isLE ? 1 : -1
var s = value < 0 || (value === 0 && 1 / value < 0) ? 1 : 0
value = Math.abs(value)
if (isNaN(value) || value === Infinity) {
m = isNaN(value) ? 1 : 0
e = eMax
} else {
e = Math.floor(Math.log(value) / Math.LN2)
if (value * (c = Math.pow(2, -e)) < 1) {
e--
c *= 2
}
if (e + eBias >= 1) {
value += rt / c
} else {
value += rt * Math.pow(2, 1 - eBias)
}
if (value * c >= 2) {
e++
c /= 2
}
if (e + eBias >= eMax) {
m = 0
e = eMax
} else if (e + eBias >= 1) {
m = (value * c - 1) * Math.pow(2, mLen)
e = e + eBias
} else {
m = value * Math.pow(2, eBias - 1) * Math.pow(2, mLen)
e = 0
}
}
for (; mLen >= 8; buffer[offset + i] = m & 0xff, i += d, m /= 256, mLen -= 8) {}
e = (e << mLen) | m
eLen += mLen
for (; eLen > 0; buffer[offset + i] = e & 0xff, i += d, e /= 256, eLen -= 8) {}
buffer[offset + i - d] |= s * 128
}
},{}],5:[function(require,module,exports){
// shim for using process in browser
var process = module.exports = {};
// cached from whatever global is present so that test runners that stub it
// don't break things. But we need to wrap it in a try catch in case it is
// wrapped in strict mode code which doesn't define any globals. It's inside a
// function because try/catches deoptimize in certain engines.
var cachedSetTimeout;
var cachedClearTimeout;
function defaultSetTimout() {
throw new Error('setTimeout has not been defined');
}
function defaultClearTimeout () {
throw new Error('clearTimeout has not been defined');
}
(function () {
try {
if (typeof setTimeout === 'function') {
cachedSetTimeout = setTimeout;
} else {
cachedSetTimeout = defaultSetTimout;
}
} catch (e) {
cachedSetTimeout = defaultSetTimout;
}
try {
if (typeof clearTimeout === 'function') {
cachedClearTimeout = clearTimeout;
} else {
cachedClearTimeout = defaultClearTimeout;
}
} catch (e) {
cachedClearTimeout = defaultClearTimeout;
}
} ())
function runTimeout(fun) {
if (cachedSetTimeout === setTimeout) {
//normal enviroments in sane situations
return setTimeout(fun, 0);
}
// if setTimeout wasn't available but was latter defined
if ((cachedSetTimeout === defaultSetTimout || !cachedSetTimeout) && setTimeout) {
cachedSetTimeout = setTimeout;
return setTimeout(fun, 0);
}
try {
// when when somebody has screwed with setTimeout but no I.E. maddness
return cachedSetTimeout(fun, 0);
} catch(e){
try {
// When we are in I.E. but the script has been evaled so I.E. doesn't trust the global object when called normally
return cachedSetTimeout.call(null, fun, 0);
} catch(e){
// same as above but when it's a version of I.E. that must have the global object for 'this', hopfully our context correct otherwise it will throw a global error
return cachedSetTimeout.call(this, fun, 0);
}
}
}
function runClearTimeout(marker) {
if (cachedClearTimeout === clearTimeout) {
//normal enviroments in sane situations
return clearTimeout(marker);
}
// if clearTimeout wasn't available but was latter defined
if ((cachedClearTimeout === defaultClearTimeout || !cachedClearTimeout) && clearTimeout) {
cachedClearTimeout = clearTimeout;
return clearTimeout(marker);
}
try {
// when when somebody has screwed with setTimeout but no I.E. maddness
return cachedClearTimeout(marker);
} catch (e){
try {
// When we are in I.E. but the script has been evaled so I.E. doesn't trust the global object when called normally
return cachedClearTimeout.call(null, marker);
} catch (e){
// same as above but when it's a version of I.E. that must have the global object for 'this', hopfully our context correct otherwise it will throw a global error.
// Some versions of I.E. have different rules for clearTimeout vs setTimeout
return cachedClearTimeout.call(this, marker);
}
}
}
var queue = [];
var draining = false;
var currentQueue;
var queueIndex = -1;
function cleanUpNextTick() {
if (!draining || !currentQueue) {
return;
}
draining = false;
if (currentQueue.length) {
queue = currentQueue.concat(queue);
} else {
queueIndex = -1;
}
if (queue.length) {
drainQueue();
}
}
function drainQueue() {
if (draining) {
return;
}
var timeout = runTimeout(cleanUpNextTick);
draining = true;
var len = queue.length;
while(len) {
currentQueue = queue;
queue = [];
while (++queueIndex < len) {
if (currentQueue) {
currentQueue[queueIndex].run();
}
}
queueIndex = -1;
len = queue.length;
}
currentQueue = null;
draining = false;
runClearTimeout(timeout);
}
process.nextTick = function (fun) {
var args = new Array(arguments.length - 1);
if (arguments.length > 1) {
for (var i = 1; i < arguments.length; i++) {
args[i - 1] = arguments[i];
}
}
queue.push(new Item(fun, args));
if (queue.length === 1 && !draining) {
runTimeout(drainQueue);
}
};
// v8 likes predictible objects
function Item(fun, array) {
this.fun = fun;
this.array = array;
}
Item.prototype.run = function () {
this.fun.apply(null, this.array);
};
process.title = 'browser';
process.browser = true;
process.env = {};
process.argv = [];
process.version = ''; // empty string to avoid regexp issues
process.versions = {};
function noop() {}
process.on = noop;
process.addListener = noop;
process.once = noop;
process.off = noop;
process.removeListener = noop;
process.removeAllListeners = noop;
process.emit = noop;
process.prependListener = noop;
process.prependOnceListener = noop;
process.listeners = function (name) { return [] }
process.binding = function (name) {
throw new Error('process.binding is not supported');
};
process.cwd = function () { return '/' };
process.chdir = function (dir) {
throw new Error('process.chdir is not supported');
};
process.umask = function() { return 0; };
},{}],6:[function(require,module,exports){
module.exports = 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732,0.045329],[11.439,0.62783,0.045329],[12.992,0.97834,0.056916],[15.166,1.3288,0.10326],[19.203,0.27732,-0.047364],[21.998,-0.42369,-0.035777],[22.93,6.5864,0.335],[24.794,8.6895,0.38134],[23.241,-5.3308,0.39293],[20.135,-4.2793,0.40452],[21.377,5.1844,-0.070537],[21.377,6.2359,-0.012604],[18.272,0.27732,0.28865],[16.097,-1.8257,0.34658],[14.855,-1.4752,0.335],[13.302,0.62783,0.26548],[12.06,1.3288,0.35817],[10.507,1.6793,0.30024],[8.9541,2.0299,0.34658],[8.0224,3.0814,0.27706],[7.0907,4.8339,0.14961],[6.7801,6.5864,0.022156],[6.4695,8.6895,-0.14006],[6.1589,10.793,-0.37179],[2.432,-1.1247,-0.3602],[2.432,-0.073181,-0.082124],[2.432,0.62783,-0.12847],[2.432,0.62783,-0.15164],[2.7426,0.97834,-0.17482],[2.7426,0.97834,-0.14006],[3.0531,0.97834,-0.1053],[3.0531,0.97834,-0.058951],[2.7426,0.62783,0.033743],[3.0531,0.27732,0.10326],[3.0531,0.62783,0.14961],[3.3637,0.97834,0.20754],[3.6743,1.3288,0.23072],[4.2955,1.3288,0.20754],[4.9166,1.6793,0.1612],[5.5378,1.6793,0.12644],[6.4695,1.3288,0.091676],[7.4013,0.27732,0.056916],[8.6436,0.27732,0.056916],[9.5753,0.62783,0.080089],[10.818,-0.073181,0.12644],[12.681,-1.8257,-0.012604],[14.855,-2.5267,-0.024191],[16.097,1.3288,0.26548],[17.029,2.7309,0.30024],[15.476,-1.8257,0.46245],[14.234,-1.4752,0.47404],[14.545,2.3804,-0.093711],[14.234,3.0814,-0.070537],[13.302,-0.073181,0.28865],[12.371,-1.1247,0.34658],[12.06,-0.42369,0.32341],[10.818,1.6793,0.26548],[10.196,2.3804,0.34658],[9.2647,2.7309,0.28865],[8.333,3.0814,0.335],[8.0224,3.7824,0.25389],[7.0907,4.4834,0.11485],[6.4695,5.5349,-0.012604],[6.1589,6.9369,-0.17482],[5.5378,7.9885,-0.44131],[2.432,-1.1247,-0.34862],[2.432,0.27732,-0.070537],[2.7426,0.62783,-0.12847],[2.7426,0.62783,-0.14006],[2.7426,0.97834,-0.16323],[2.7426,0.97834,-0.14006],[2.7426,1.3288,-0.1053],[2.7426,1.3288,-0.058951],[2.432,0.97834,0.033743],[2.7426,0.97834,0.11485],[2.7426,1.3288,0.17278],[3.0531,2.0299,0.21913],[3.0531,2.3804,0.2423],[3.3637,2.3804,0.20754],[4.2955,2.3804,0.17278],[4.606,2.3804,0.12644],[5.2272,1.6793,0.091676],[6.1589,0.97834,0.056916],[6.7801,0.62783,0.080089],[7.4013,0.97834,0.091676],[8.0224,-0.073181,0.14961],[8.0224,-2.5267,0.010569],[9.5753,-3.5782,-0.001017],[10.818,-1.4752,0.2423],[11.439,-0.77419,0.27706],[10.196,0.97834,0.49721],[10.196,0.97834,0.49721],[9.2647,0.27732,-0.11688],[8.6436,0.97834,-0.093711],[9.5753,-0.77419,0.28865],[9.5753,-1.8257,0.34658],[9.5753,-0.77419,0.32341],[9.2647,1.3288,0.2423],[8.6436,2.0299,0.335],[8.333,2.3804,0.27706],[8.0224,2.7309,0.31182],[7.4013,3.0814,0.2423],[6.7801,3.7824,0.091676],[6.4695,4.4834,-0.047364],[6.1589,5.1844,-0.20958],[5.2272,6.2359,-0.51083],[2.7426,-0.073181,-0.34862],[2.7426,0.97834,-0.070537],[2.7426,1.3288,-0.11688],[2.7426,0.97834,-0.12847],[2.7426,1.3288,-0.15164],[2.7426,1.3288,-0.12847],[2.7426,1.3288,-0.093711],[2.432,1.3288,-0.047364],[2.1214,1.3288,0.045329],[2.432,1.6793,0.11485],[2.7426,2.3804,0.17278],[3.0531,3.0814,0.23072],[3.3637,3.4319,0.25389],[3.3637,3.0814,0.21913],[3.6743,3.0814,0.17278],[4.2955,2.7309,0.12644],[4.606,2.3804,0.10326],[5.2272,1.6793,0.080089],[5.5378,1.6793,0.080089],[6.1589,2.0299,0.091676],[6.4695,0.97834,0.1612],[5.2272,-1.8257,0.033743],[6.4695,-2.1762,0.033743],[8.0224,-1.8257,0.2423],[8.6436,-1.4752,0.28865],[7.0907,3.0814,0.5088],[8.0224,2.3804,0.48562],[6.7801,-0.073181,-0.14006],[6.1589,-0.073181,-0.1053],[8.0224,-1.4752,0.30024],[8.333,-2.1762,0.34658],[8.6436,-1.8257,0.32341],[8.333,0.27732,0.23072],[8.333,0.97834,0.31182],[8.0224,1.3288,0.25389],[8.0224,1.6793,0.30024],[7.4013,2.0299,0.21913],[6.7801,2.7309,0.080089],[6.4695,3.4319,-0.070537],[5.5378,4.1329,-0.23275],[5.2272,4.1329,-0.56876],[3.3637,0.62783,-0.34862],[3.3637,1.6793,-0.070537],[3.0531,2.0299,-0.11688],[3.0531,1.3288,-0.12847],[3.0531,1.3288,-0.15164],[3.0531,1.6793,-0.12847],[2.7426,1.6793,-0.093711],[2.432,1.6793,-0.047364],[2.1214,1.6793,0.045329],[2.7426,2.0299,0.12644],[3.0531,2.7309,0.18437],[3.3637,3.4319,0.23072],[4.2955,3.7824,0.25389],[4.2955,3.4319,0.21913],[4.2955,3.0814,0.17278],[4.606,2.7309,0.12644],[4.9166,2.7309,0.10326],[5.2272,2.3804,0.080089],[5.5378,2.3804,0.080089],[6.1589,2.7309,0.10326],[6.1589,1.6793,0.14961],[4.606,-0.77419,0.045329],[5.5378,-1.1247,0.056916],[6.7801,-1.1247,0.26548],[6.7801,-1.1247,0.30024],[5.5378,3.4319,0.5088],[6.7801,2.7309,0.46245],[5.5378,-0.77419,-0.16323],[5.2272,-0.77419,-0.1053],[7.0907,-1.4752,0.31182],[7.4013,-2.1762,0.34658],[8.0224,-1.8257,0.31182],[8.0224,-0.42369,0.23072],[8.0224,0.27732,0.31182],[8.0224,0.27732,0.2423],[7.4013,0.62783,0.28865],[7.0907,0.97834,0.20754],[6.4695,1.3288,0.056916],[5.5378,2.0299,-0.082124],[5.2272,2.7309,-0.25592],[4.606,2.7309,-0.59194],[4.2955,1.6793,-0.34862],[3.6743,2.0299,-0.070537],[3.6743,2.0299,-0.11688],[3.6743,1.6793,-0.11688],[3.3637,1.6793,-0.14006],[3.3637,1.6793,-0.11688],[3.0531,1.6793,-0.082124],[2.7426,2.0299,-0.047364],[2.432,2.0299,0.045329],[3.0531,2.3804,0.12644],[3.6743,3.0814,0.18437],[4.2955,3.7824,0.23072],[4.9166,3.7824,0.25389],[4.9166,3.0814,0.21913],[4.9166,3.0814,0.17278],[5.2272,2.7309,0.12644],[5.5378,2.3804,0.10326],[5.5378,2.7309,0.080089],[6.1589,3.0814,0.080089],[6.4695,3.0814,0.10326],[6.1589,2.3804,0.13802],[4.606,0.62783,0.045329],[5.2272,0.27732,0.080089],[5.5378,-0.77419,0.28865],[5.5378,-0.42369,0.32341],[4.9166,3.4319,0.49721],[6.1589,2.3804,0.43928],[5.2272,-1.1247,-0.17482],[5.2272,-1.1247,-0.1053],[6.7801,-1.4752,0.32341],[7.0907,-1.8257,0.34658],[7.4013,-1.8257,0.31182],[7.4013,-0.77419,0.21913],[7.4013,-0.42369,0.30024],[7.4013,-0.42369,0.23072],[7.0907,-0.42369,0.27706],[6.7801,-0.073181,0.19596],[6.1589,0.27732,0.045329],[4.9166,0.97834,-0.093711],[4.2955,1.3288,-0.25592],[3.3637,1.6793,-0.61511]]};
},{}],7:[function(require,module,exports){
var meshgridCoords = function(xs) {
if (typeof xs === 'number') {
return {start: xs, end: xs, step: 1};
} else if (xs instanceof Array) {
var obj = {start: xs[0], end: xs[0], step: 1};
if (xs.length === 2) {
obj.end = xs[1];
}
if (xs.length === 3) {
obj.step = xs[1] || 1; // Force non-zero step
obj.end = xs[2];
}
return obj;
}
var parsed = {start: xs.start, end: xs.end, step: xs.step};
if (!parsed.step) { // Force non-zero step
parsed.step = 1;
}
if (parsed.end === undefined) {
parsed.end = parsed.start;
}
return parsed;
};
var meshgridExpand = function(xs) {
var res = [];
var step = xs.step;
if (xs.start > xs.end && step > 0) {
step = -step; // Use negative step when start is larger than end.
}
var count = (xs.end - xs.start) / step;
res.push(xs.start); // Include start
for (var i = 1; i < count; i++) {
res.push(xs.start + i * step); // Interpolate values without accumulating error
}
if (xs.start !== xs.end) {
res.push(xs.end); // Include end if it differs from start
}
return res;
}
var meshgrid = function(xs, ys, zs) {
xs = meshgridCoords(xs);
ys = meshgridCoords(ys);
zs = meshgridCoords(zs);
return [
meshgridExpand(xs),
meshgridExpand(ys),
meshgridExpand(zs)
];
};
meshgrid.getBounds = function(mg) {
return [
mg.map(function(m) { return m[0]; }),
mg.map(function(m) { return m[m.length-1]; })
];
};
meshgrid.toPoints = function(mg) {
var res = [];
for (var z=0; z<mg[2].length; z++) {
var mz = mg[2][z];
for (var y=0; y<mg[1].length; y++) {
var my = mg[1][y];
for (var x=0; x<mg[0].length; x++) {
var mx = mg[0][x];
res.push([mx, my, mz]);
}
}
}
return res;
};
module.exports = meshgrid;
},{}],8:[function(require,module,exports){
var createStreamTubes = require('../streamtube');
var wind = require('./dataset-wind');
var meshgrid = require('./meshgrid');
var createCamera = require('3d-view-controls')
var perspective = require('gl-mat4/perspective')
var createAxes = require('gl-axes3d')
var createSpikes = require('gl-spikes3d')
var createSelect = require('gl-select-static')
var getBounds = require('bound-points')
var mouseChange = require('mouse-change')
var createMesh = createStreamTubes.createTubeMesh;
var vec3 = require('gl-vec3');
var canvas = document.createElement('canvas')
document.body.appendChild(canvas)
window.addEventListener('resize', require('canvas-fit')(canvas))
var gl = canvas.getContext('webgl')
var pvecs = [];
for (var i=0; i<wind.positions.length; i++) {
pvecs.push({position: wind.positions[i], vector: wind.vectors[i]});
}
var cmpZYX = function(a, b) {
if (a.position[2] !== b.position[2]) return a.position[2] - b.position[2];
if (a.position[1] !== b.position[1]) return a.position[1] - b.position[1];
return a.position[0] - b.position[0];
};
pvecs.sort(cmpZYX);
var positions = pvecs.map(function(p) { return p.position; });
var vectors = pvecs.map(function(p) { return p.vector; });
var windBounds = getBounds(positions);
var startingPositions = meshgrid.toPoints(meshgrid(80, [20, 10, 50], [0, 5, 15])); // {start: 20, step: 10, end: 50}, {start:0, step: 5, end: 15});
var mg = [[],[],[]]
var mgi =[{},{},{}];
positions.forEach(function(p) {
var x = p[0];
var y = p[1];
var z = p[2];
if (!mgi[0][x]) { mgi[0][x] = true; mg[0].push(x); }
if (!mgi[1][y]) { mgi[1][y] = true; mg[1].push(y); }
if (!mgi[2][z]) { mgi[2][z] = true; mg[2].push(z); }
})
var bounds = meshgrid.getBounds(mg);
var camera = createCamera(canvas, {
eye: [0,0,50],
center: [0.5*(bounds[0][0]+bounds[1][0]),
0.5*(bounds[0][1]+bounds[1][1]),
0.5*(bounds[0][2]+bounds[1][2])],
zoomMax: 500
})
var streams = createStreamTubes({
startingPositions: startingPositions,
maxLength: 3000,
tubeSize: 1,
//absoluteTubeSize: 0.1,
meshgrid: mg,
vectors: vectors,
colormap: 'portland'
}, bounds);
var mesh = createMesh(gl, streams);
var select = createSelect(gl, [canvas.width, canvas.height])
var tickSpacing = 5;
var ticks = bounds[0].map(function(v,i) {
var arr = [];
var firstTick = Math.ceil(bounds[0][i] / tickSpacing) * tickSpacing;
var lastTick = Math.floor(bounds[1][i] / tickSpacing) * tickSpacing;
for (var tick = firstTick; tick <= lastTick; tick += tickSpacing) {
if (tick === -0) tick = 0;
arr.push({x: tick, text: tick.toString()});
}
return arr;
});
var axes = createAxes(gl, { bounds: bounds, ticks: ticks })
var spikes = createSpikes(gl, {
bounds: bounds
})
var spikeChanged = false
mouseChange(canvas, function(buttons, x, y) {
var pickData = select.query(x, canvas.height - y, 10)
var pickResult = mesh.pick(pickData)
if(pickResult) {
spikes.update({
position: pickResult.position,
enabled: [true, true, true]
})
spikeChanged = true
} else {
spikeChanged = spikes.enabled[0]
spikes.update({
enabled: [false, false, false]
})
}
})
function render() {
requestAnimationFrame(render)
gl.enable(gl.DEPTH_TEST)
var needsUpdate = camera.tick()
var cameraParams = {
projection: perspective([], Math.PI/4, canvas.width/canvas.height, 0.01, 1000),
view: camera.matrix
}
if(needsUpdate || spikeChanged) {
gl.bindFramebuffer(gl.FRAMEBUFFER, null)
gl.viewport(0, 0, canvas.width, canvas.height)
gl.clear(gl.COLOR_BUFFER_BIT | gl.DEPTH_BUFFER_BIT)
axes.draw(cameraParams)
spikes.draw(cameraParams)
mesh.draw(cameraParams)
spikeChanged = false
}
if(needsUpdate) {
select.shape = [canvas.width, canvas.height]
select.begin()
mesh.drawPick(cameraParams)
select.end()
}
}
render()
},{"../streamtube":267,"./dataset-wind":6,"./meshgrid":7,"3d-view-controls":12,"bound-points":38,"canvas-fit":46,"gl-axes3d":76,"gl-mat4/perspective":97,"gl-select-static":106,"gl-spikes3d":115,"gl-vec3":132,"mouse-change":200}],9:[function(require,module,exports){
'use strict'
var barycentric = require('barycentric')
var closestPointToTriangle = require('polytope-closest-point/lib/closest_point_2d.js')
module.exports = closestPointToPickLocation
function xformMatrix(m, v) {
var out = [0,0,0,0]
for(var i=0; i<4; ++i) {
for(var j=0; j<4; ++j) {
out[j] += m[4*i + j] * v[i]
}
}
return out
}
function projectVertex(v, model, view, projection, resolution) {
var p = xformMatrix(projection,
xformMatrix(view,
xformMatrix(model, [v[0], v[1], v[2], 1])))
for(var i=0; i<3; ++i) {
p[i] /= p[3]
}
return [ 0.5 * resolution[0] * (1.0+p[0]), 0.5 * resolution[1] * (1.0-p[1]) ]
}
function barycentricCoord(simplex, point) {
if(simplex.length === 2) {
var d0 = 0.0
var d1 = 0.0
for(var i=0; i<2; ++i) {
d0 += Math.pow(point[i] - simplex[0][i], 2)
d1 += Math.pow(point[i] - simplex[1][i], 2)
}
d0 = Math.sqrt(d0)
d1 = Math.sqrt(d1)
if(d0+d1 < 1e-6) {
return [1,0]
}
return [d1/(d0+d1),d0/(d1+d0)]
} else if(simplex.length === 3) {
var closestPoint = [0,0]
closestPointToTriangle(simplex[0], simplex[1], simplex[2], point, closestPoint)
return barycentric(simplex, closestPoint)
}
return []
}
function interpolate(simplex, weights) {
var result = [0,0,0]
for(var i=0; i<simplex.length; ++i) {
var p = simplex[i]
var w = weights[i]
for(var j=0; j<3; ++j) {
result[j] += w * p[j]
}
}
return result
}
function closestPointToPickLocation(simplex, pixelCoord, model, view, projection, resolution) {
if(simplex.length === 1) {
return [0, simplex[0].slice()]
}
var simplex2D = new Array(simplex.length)
for(var i=0; i<simplex.length; ++i) {
simplex2D[i] = projectVertex(simplex[i], model, view, projection, resolution);
}
var closestIndex = 0
var closestDist = Infinity
for(var i=0; i<simplex2D.length; ++i) {
var d2 = 0.0
for(var j=0; j<2; ++j) {
d2 += Math.pow(simplex2D[i][j] - pixelCoord[j], 2)
}
if(d2 < closestDist) {
closestDist = d2
closestIndex = i
}
}
var weights = barycentricCoord(simplex2D, pixelCoord)
var s = 0.0
for(var i=0; i<3; ++i) {
if(weights[i] < -0.001 ||
weights[i] > 1.0001) {
return null
}
s += weights[i]
}
if(Math.abs(s - 1.0) > 0.001) {
return null
}
return [closestIndex, interpolate(simplex, weights), weights]
}
},{"barycentric":18,"polytope-closest-point/lib/closest_point_2d.js":221}],10:[function(require,module,exports){
var triVertSrc = "precision mediump float;\n#define GLSLIFY 1\n\nfloat inverse_1_0(float m) {\n return 1.0 / m;\n}\n\nmat2 inverse_1_0(mat2 m) {\n return mat2(m[1][1],-m[0][1],\n -m[1][0], m[0][0]) / (m[0][0]*m[1][1] - m[0][1]*m[1][0]);\n}\n\nmat3 inverse_1_0(mat3 m) {\n float a00 = m[0][0], a01 = m[0][1], a02 = m[0][2];\n float a10 = m[1][0], a11 = m[1][1], a12 = m[1][2];\n float a20 = m[2][0], a21 = m[2][1], a22 = m[2][2];\n\n float b01 = a22 * a11 - a12 * a21;\n float b11 = -a22 * a10 + a12 * a20;\n float b21 = a21 * a10 - a11 * a20;\n\n float det = a00 * b01 + a01 * b11 + a02 * b21;\n\n return mat3(b01, (-a22 * a01 + a02 * a21), (a12 * a01 - a02 * a11),\n b11, (a22 * a00 - a02 * a20), (-a12 * a00 + a02 * a10),\n b21, (-a21 * a00 + a01 * a20), (a11 * a00 - a01 * a10)) / det;\n}\n\nmat4 inverse_1_0(mat4 m) {\n float\n a00 = m[0][0], a01 = m[0][1], a02 = m[0][2], a03 = m[0][3],\n a10 = m[1][0], a11 = m[1][1], a12 = m[1][2], a13 = m[1][3],\n a20 = m[2][0], a21 = m[2][1], a22 = m[2][2], a23 = m[2][3],\n a30 = m[3][0], a31 = m[3][1], a32 = m[3][2], a33 = m[3][3],\n\n b00 = a00 * a11 - a01 * a10,\n b01 = a00 * a12 - a02 * a10,\n b02 = a00 * a13 - a03 * a10,\n b03 = a01 * a12 - a02 * a11,\n b04 = a01 * a13 - a03 * a11,\n b05 = a02 * a13 - a03 * a12,\n b06 = a20 * a31 - a21 * a30,\n b07 = a20 * a32 - a22 * a30,\n b08 = a20 * a33 - a23 * a30,\n b09 = a21 * a32 - a22 * a31,\n b10 = a21 * a33 - a23 * a31,\n b11 = a22 * a33 - a23 * a32,\n\n det = b00 * b11 - b01 * b10 + b02 * b09 + b03 * b08 - b04 * b07 + b05 * b06;\n\n return mat4(\n a11 * b11 - a12 * b10 + a13 * b09,\n a02 * b10 - a01 * b11 - a03 * b09,\n a31 * b05 - a32 * b04 + a33 * b03,\n a22 * b04 - a21 * b05 - a23 * b03,\n a12 * b08 - a10 * b11 - a13 * b07,\n a00 * b11 - a02 * b08 + a03 * b07,\n a32 * b02 - a30 * b05 - a33 * b01,\n a20 * b05 - a22 * b02 + a23 * b01,\n a10 * b10 - a11 * b08 + a13 * b06,\n a01 * b08 - a00 * b10 - a03 * b06,\n a30 * b04 - a31 * b02 + a33 * b00,\n a21 * b02 - a20 * b04 - a23 * b00,\n a11 * b07 - a10 * b09 - a12 * b06,\n a00 * b09 - a01 * b07 + a02 * b06,\n a31 * b01 - a30 * b03 - a32 * b00,\n a20 * b03 - a21 * b01 + a22 * b00) / det;\n}\n\n\n\nattribute vec3 vector;\nattribute vec4 color, position;\nattribute vec2 uv;\nuniform float tubeScale;\n\nuniform mat4 model\n , view\n , projection;\nuniform vec3 eyePosition\n , lightPosition;\n\nvarying vec3 f_normal\n , f_lightDirection\n , f_eyeDirection\n , f_data;\nvarying vec4 f_color;\nvarying vec2 f_uv;\n\n\nvec3 getOrthogonalVector(vec3 v) {\n // Return up-vector for only-z vector.\n // Return ax + by + cz = 0, a point that lies on the plane that has v as a normal and that isn't (0,0,0).\n // From the above if-statement we have ||a|| > 0 U ||b|| > 0.\n // Assign z = 0, x = -b, y = a:\n // a*-b + b*a + c*0 = -ba + ba + 0 = 0\n if (v.x*v.x > v.z*v.z || v.y*v.y > v.z*v.z) {\n return normalize(vec3(-v.y, v.x, 0.0)); \n } else {\n return normalize(vec3(0.0, v.z, -v.y));\n }\n}\n\n// Calculate the tube vertex and normal at the given index.\n//\n// The returned vertex is for a tube ring with its center at origin, radius of length(d), pointing in the direction of d.\n//\n// Each tube segment is made up of a ring of vertices.\n// These vertices are used to make up the triangles of the tube by connecting them together in the vertex array.\n// The indexes of tube segments run from 0 to 8.\n//\nvec3 getTubePosition(vec3 d, float index, out vec3 normal) {\n float segmentCount = 8.0;\n\n float angle = 2.0 * 3.14159 * (index / segmentCount);\n\n vec3 u = getOrthogonalVector(d);\n vec3 v = normalize(cross(u, d));\n\n vec3 x = u * cos(angle) * length(d);\n vec3 y = v * sin(angle) * length(d);\n vec3 v3 = x + y;\n\n normal = normalize(v3);\n\n return v3;\n}\n\nvoid main() {\n // Scale the vector magnitude to stay constant with\n // model & view changes.\n vec3 normal;\n vec4 tubePosition = model * vec4(position.xyz, 1.0) + vec4(getTubePosition(mat3(model) * (tubeScale * vector), position.w, normal), 0.0);\n normal = normalize(normal * inverse_1_0(mat3(model)));\n\n vec4 t_position = view * tubePosition;\n gl_Position = projection * t_position;\n f_color = color;\n f_normal = normal;\n f_data = tubePosition.xyz;\n f_eyeDirection = eyePosition - tubePosition.xyz;\n f_lightDirection = lightPosition - tubePosition.xyz;\n f_uv = uv;\n}"
var triFragSrc = "precision mediump float;\n#define GLSLIFY 1\n\nfloat beckmannDistribution_2_0(float x, float roughness) {\n float NdotH = max(x, 0.0001);\n float cos2Alpha = NdotH * NdotH;\n float tan2Alpha = (cos2Alpha - 1.0) / cos2Alpha;\n float roughness2 = roughness * roughness;\n float denom = 3.141592653589793 * roughness2 * cos2Alpha * cos2Alpha;\n return exp(tan2Alpha / roughness2) / denom;\n}\n\n\n\nfloat cookTorranceSpecular_1_1(\n vec3 lightDirection,\n vec3 viewDirection,\n vec3 surfaceNormal,\n float roughness,\n float fresnel) {\n\n float VdotN = max(dot(viewDirection, surfaceNormal), 0.0);\n float LdotN = max(dot(lightDirection, surfaceNormal), 0.0);\n\n //Half angle vector\n vec3 H = normalize(lightDirection + viewDirection);\n\n //Geometric term\n float NdotH = max(dot(surfaceNormal, H), 0.0);\n float VdotH = max(dot(viewDirection, H), 0.000001);\n float LdotH = max(dot(lightDirection, H), 0.000001);\n float G1 = (2.0 * NdotH * VdotN) / VdotH;\n float G2 = (2.0 * NdotH * LdotN) / LdotH;\n float G = min(1.0, min(G1, G2));\n \n //Distribution term\n float D = beckmannDistribution_2_0(NdotH, roughness);\n\n //Fresnel term\n float F = pow(1.0 - VdotN, fresnel);\n\n //Multiply terms and done\n return G * F * D / max(3.14159265 * VdotN, 0.000001);\n}\n\n\n\nuniform vec3 clipBounds[2];\nuniform float roughness\n , fresnel\n , kambient\n , kdiffuse\n , kspecular\n , opacity;\nuniform sampler2D texture;\n\nvarying vec3 f_normal\n , f_lightDirection\n , f_eyeDirection\n , f_data;\nvarying vec4 f_color;\nvarying vec2 f_uv;\n\nvoid main() {\n vec3 N = normalize(f_normal);\n vec3 L = normalize(f_lightDirection);\n vec3 V = normalize(f_eyeDirection);\n \n if(!gl_FrontFacing) {\n N = -N;\n }\n\n float specular = cookTorranceSpecular_1_1(L, V, N, roughness, fresnel);\n float diffuse = min(kambient + kdiffuse * max(dot(N, L), 0.0), 1.0);\n\n vec4 surfaceColor = texture2D(texture, f_uv);\n vec4 litColor = surfaceColor.a * vec4(diffuse * surfaceColor.rgb + kspecular * vec3(1,1,1) * specular, 1.0);\n\n gl_FragColor = litColor * opacity;\n}"
var pickVertSrc = "precision mediump float;\n#define GLSLIFY 1\n\nattribute vec3 position;\nattribute vec4 id;\n\nuniform mat4 model, view, projection;\n\nvarying vec3 f_position;\nvarying vec4 f_id;\n\nvoid main() {\n gl_Position = projection * view * model * vec4(position, 1.0);\n f_id = id;\n f_position = position;\n}"
var pickFragSrc = "precision mediump float;\n#define GLSLIFY 1\n\nuniform vec3 clipBounds[2];\nuniform float pickId;\n\nvarying vec3 f_position;\nvarying vec4 f_id;\n\nvoid main() {\n gl_FragColor = vec4(pickId, f_id.xyz);\n}"
exports.meshShader = {
vertex: triVertSrc,
fragment: triFragSrc,
attributes: [
{name: 'position', type: 'vec4'},
{name: 'normal', type: 'vec3'},
{name: 'color', type: 'vec4'},
{name: 'uv', type: 'vec2'},
{name: 'vector', type: 'vec3'}
]
}
exports.pickShader = {
vertex: pickVertSrc,
fragment: pickFragSrc,
attributes: [
{name: 'position', type: 'vec3'},
{name: 'id', type: 'vec4'}
]
}
},{}],11:[function(require,module,exports){
'use strict'
var DEFAULT_VERTEX_NORMALS_EPSILON = 1e-6; // may be too large if triangles are very small
var DEFAULT_FACE_NORMALS_EPSILON = 1e-6;
var createShader = require('gl-shader')
var createBuffer = require('gl-buffer')
var createVAO = require('gl-vao')
var createTexture = require('gl-texture2d')
var normals = require('normals')
var multiply = require('gl-mat4/multiply')
var invert = require('gl-mat4/invert')
var ndarray = require('ndarray')
var colormap = require('colormap')
var getContour = require('simplicial-complex-contour')
var pool = require('typedarray-pool')
var shaders = require('./shaders')
var closestPoint = require('./closest-point')
var meshShader = shaders.meshShader
var pickShader = shaders.pickShader
var identityMatrix = [
1,0,0,0,
0,1,0,0,
0,0,1,0,
0,0,0,1]
function SimplicialMesh(gl
, texture
, triShader
, lineShader
, pointShader
, pickShader
, pointPickShader
, contourShader
, trianglePositions
, triangleVectors
, triangleIds
, triangleColors
, triangleUVs
, triangleNormals
, triangleVAO
, edgePositions
, edgeIds
, edgeColors
, edgeUVs
, edgeVAO
, pointPositions
, pointIds
, pointColors
, pointUVs
, pointSizes
, pointVAO
, contourPositions
, contourVAO) {
this.gl = gl
this.cells = []
this.positions = []
this.intensity = []
this.texture = texture
this.dirty = true
this.triShader = triShader
this.lineShader = lineShader
this.pointShader = pointShader
this.pickShader = pickShader
this.pointPickShader = pointPickShader
this.contourShader = contourShader
this.trianglePositions = trianglePositions
this.triangleVectors = triangleVectors
this.triangleColors = triangleColors
this.triangleNormals = triangleNormals
this.triangleUVs = triangleUVs
this.triangleIds = triangleIds
this.triangleVAO = triangleVAO
this.triangleCount = 0
this.lineWidth = 1
this.edgePositions = edgePositions
this.edgeColors = edgeColors
this.edgeUVs = edgeUVs
this.edgeIds = edgeIds
this.edgeVAO = edgeVAO
this.edgeCount = 0
this.pointPositions = pointPositions
this.pointColors = pointColors
this.pointUVs = pointUVs
this.pointSizes = pointSizes
this.pointIds = pointIds
this.pointVAO = pointVAO
this.pointCount = 0
this.contourLineWidth = 1
this.contourPositions = contourPositions
this.contourVAO = contourVAO
this.contourCount = 0
this.contourColor = [0,0,0]
this.contourEnable = true
this.pickId = 1
this.bounds = [
[ Infinity, Infinity, Infinity],
[-Infinity,-Infinity,-Infinity] ]
this.clipBounds = [
[-Infinity,-Infinity,-Infinity],
[ Infinity, Infinity, Infinity] ]
this.lightPosition = [1e5, 1e5, 0]
this.ambientLight = 0.8
this.diffuseLight = 0.8
this.specularLight = 2.0
this.roughness = 0.5
this.fresnel = 1.5
this.opacity = 1.0
this.tubeScale = 1.0
this._model = identityMatrix
this._view = identityMatrix
this._projection = identityMatrix
this._resolution = [1,1]
}
var proto = SimplicialMesh.prototype
proto.isOpaque = function() {
return this.opacity >= 1
}
proto.isTransparent = function() {
return this.opacity < 1
}
proto.pickSlots = 1
proto.setPickBase = function(id) {
this.pickId = id
}
function genColormap(param) {
var colors = colormap({
colormap: param
, nshades: 256
, format: 'rgba'
})
var result = new Uint8Array(256*4)
for(var i=0; i<256; ++i) {
var c = colors[i]
for(var j=0; j<3; ++j) {
result[4*i+j] = c[j]
}
result[4*i+3] = c[3]*255
}
return ndarray(result, [256,256,4], [4,0,1])
}
function unpackIntensity(cells, numVerts, cellIntensity) {
var result = new Array(numVerts)
for(var i=0; i<numVerts; ++i) {
result[i] = 0
}
var numCells = cells.length
for(var i=0; i<numCells; ++i) {
var c = cells[i]
for(var j=0; j<c.length; ++j) {
result[c[j]] = cellIntensity[i]
}
}
return result
}
function takeZComponent(array) {
var n = array.length
var result = new Array(n)
for(var i=0; i<n; ++i) {
result[i] = array[i][2]
}
return result
}
proto.highlight = function(selection) {
if(!selection || !this.contourEnable) {
this.contourCount = 0
return
}
var level = getContour(this.cells, this.intensity, selection.intensity)
var cells = level.cells
var vertexIds = level.vertexIds
var vertexWeights = level.vertexWeights
var numCells = cells.length
var result = pool.mallocFloat32(2 * 3 * numCells)
var ptr = 0
for(var i=0; i<numCells; ++i) {
var c = cells[i]
for(var j=0; j<2; ++j) {
var v = c[0]
if(c.length === 2) {
v = c[j]
}
var a = vertexIds[v][0]
var b = vertexIds[v][1]
var w = vertexWeights[v]
var wi = 1.0 - w
var pa = this.positions[a]
var pb = this.positions[b]
for(var k=0; k<3; ++k) {
result[ptr++] = w * pa[k] + wi * pb[k]
}
}
}
this.contourCount = (ptr / 3)|0
this.contourPositions.update(result.subarray(0, ptr))
pool.free(result)
}
proto.update = function(params) {
params = params || {}
var gl = this.gl
this.dirty = true
if('contourEnable' in params) {
this.contourEnable = params.contourEnable
}
if('contourColor' in params) {
this.contourColor = params.contourColor
}
if('lineWidth' in params) {
this.lineWidth = params.lineWidth
}
if('lightPosition' in params) {
this.lightPosition = params.lightPosition
}
if('opacity' in params) {
this.opacity = params.opacity
}
if('ambient' in params) {
this.ambientLight = params.ambient
}
if('diffuse' in params) {
this.diffuseLight = params.diffuse
}
if('specular' in params) {
this.specularLight = params.specular
}
if('roughness' in params) {
this.roughness = params.roughness
}
if('fresnel' in params) {
this.fresnel = params.fresnel
}
if(params.texture) {
this.texture.dispose()
this.texture = createTexture(gl, params.texture)
} else if (params.colormap) {
this.texture.shape = [256,256]
this.texture.minFilter = gl.LINEAR_MIPMAP_LINEAR
this.texture.magFilter = gl.LINEAR
this.texture.setPixels(genColormap(params.colormap))
this.texture.generateMipmap()
}
var cells = params.cells
var positions = params.positions
var vectors = params.vectors
if(!positions || !cells || !vectors) {
return
}
if (params.tubeScale !== undefined) {
this.tubeScale = params.tubeScale;
}
var tPos = []
var tVec = []
var tCol = []
var tNor = []
var tUVs = []
var tIds = []
var ePos = []
var eCol = []
var eUVs = []
var eIds = []
var pPos = []
var pCol = []
var pUVs = []
var pSiz = []
var pIds = []
//Save geometry data for picking calculations
this.cells = cells
this.positions = positions
//Compute normals
var vertexNormals = params.vertexNormals
var cellNormals = params.cellNormals
var vertexNormalsEpsilon = params.vertexNormalsEpsilon === void(0) ? DEFAULT_VERTEX_NORMALS_EPSILON : params.vertexNormalsEpsilon
var faceNormalsEpsilon = params.faceNormalsEpsilon === void(0) ? DEFAULT_FACE_NORMALS_EPSILON : params.faceNormalsEpsilon
if(params.useFacetNormals && !cellNormals) {
cellNormals = normals.faceNormals(cells, positions, faceNormalsEpsilon)
}
if(!cellNormals && !vertexNormals) {
vertexNormals = normals.vertexNormals(cells, positions, vertexNormalsEpsilon)
}
//Compute colors
var vertexColors = params.vertexColors
var cellColors = params.cellColors
var meshColor = params.meshColor || [1,1,1,1]
//UVs
var vertexUVs = params.vertexUVs
var vertexIntensity = params.vertexIntensity
var cellUVs = params.cellUVs
var cellIntensity = params.cellIntensity
var intensityLo = Infinity
var intensityHi = -Infinity
if(!vertexUVs && !cellUVs) {
if(vertexIntensity) {
if(params.vertexIntensityBounds) {
intensityLo = +params.vertexIntensityBounds[0]
intensityHi = +params.vertexIntensityBounds[1]
} else {
for(var i=0; i<vertexIntensity.length; ++i) {
var f = vertexIntensity[i]
intensityLo = Math.min(intensityLo, f)
intensityHi = Math.max(intensityHi, f)
}
}
} else if(cellIntensity) {
for(var i=0; i<cellIntensity.length; ++i) {
var f = cellIntensity[i]
intensityLo = Math.min(intensityLo, f)
intensityHi = Math.max(intensityHi, f)
}
} else {
for(var i=0; i<positions.length; ++i) {
var f = positions[i][2]
intensityLo = Math.min(intensityLo, f)
intensityHi = Math.max(intensityHi, f)
}
}
}
if(vertexIntensity) {
this.intensity = vertexIntensity
} else if(cellIntensity) {
this.intensity = unpackIntensity(cells, positions.length, cellIntensity)
} else {
this.intensity = takeZComponent(positions)
}
//Point size
var pointSizes = params.pointSizes
var meshPointSize = params.pointSize || 1.0
//Update bounds
this.bounds = [[Infinity,Infinity,Infinity], [-Infinity,-Infinity,-Infinity]]
for(var i=0; i<positions.length; ++i) {
var p = positions[i]
for(var j=0; j<3; ++j) {
if(isNaN(p[j]) || !isFinite(p[j])) {
continue
}
this.bounds[0][j] = Math.min(this.bounds[0][j], p[j])
this.bounds[1][j] = Math.max(this.bounds[1][j], p[j])
}
}
//Pack cells into buffers
var triangleCount = 0
var edgeCount = 0
var pointCount = 0
fill_loop:
for(var i=0; i<cells.length; ++i) {
var cell = cells[i]
switch(cell.length) {
case 1:
var v = cell[0]
var p = positions[v]
//Check NaNs
for(var j=0; j<3; ++j) {
if(isNaN(p[j]) || !isFinite(p[j])) {
continue fill_loop
}
}
pPos.push(p[0], p[1], p[2], p[3])
var c
if(vertexColors) {
c = vertexColors[v]
} else if(cellColors) {
c = cellColors[i]
} else {
c = meshColor
}
if(c.length === 3) {
pCol.push(c[0], c[1], c[2], 1)
} else {
pCol.push(c[0], c[1], c[2], c[3])
}
var uv
if(vertexUVs) {
uv = vertexUVs[v]
} else if(vertexIntensity) {
uv = [
(vertexIntensity[v] - intensityLo) /
(intensityHi - intensityLo), 0]
} else if(cellUVs) {
uv = cellUVs[i]
} else if(cellIntensity) {
uv = [
(cellIntensity[i] - intensityLo) /
(intensityHi - intensityLo), 0]
} else {
uv = [
(p[2] - intensityLo) /
(intensityHi - intensityLo), 0]
}
pUVs.push(uv[0], uv[1])
if(pointSizes) {
pSiz.push(pointSizes[v])
} else {
pSiz.push(meshPointSize)
}
pIds.push(i)
pointCount += 1
break
case 2:
//Check NaNs
for(var j=0; j<2; ++j) {
var v = cell[j]
var p = positions[v]
for(var k=0; k<3; ++k) {
if(isNaN(p[k]) || !isFinite(p[k])) {
continue fill_loop
}
}
}
for(var j=0; j<2; ++j) {
var v = cell[j]
var p = positions[v]
ePos.push(p[0], p[1], p[2])
var c
if(vertexColors) {
c = vertexColors[v]
} else if(cellColors) {
c = cellColors[i]
} else {
c = meshColor
}
if(c.length === 3) {
eCol.push(c[0], c[1], c[2], 1)
} else {
eCol.push(c[0], c[1], c[2], c[3])
}
var uv
if(vertexUVs) {
uv = vertexUVs[v]
} else if(vertexIntensity) {
uv = [
(vertexIntensity[v] - intensityLo) /
(intensityHi - intensityLo), 0]
} else if(cellUVs) {
uv = cellUVs[i]
} else if(cellIntensity) {
uv = [
(cellIntensity[i] - intensityLo) /
(intensityHi - intensityLo), 0]
} else {
uv = [
(p[2] - intensityLo) /
(intensityHi - intensityLo), 0]
}
eUVs.push(uv[0], uv[1])
eIds.push(i)
}
edgeCount += 1
break
case 3:
//Check NaNs
for(var j=0; j<3; ++j) {
var v = cell[j]
var p = positions[v]
for(var k=0; k<3; ++k) {
if(isNaN(p[k]) || !isFinite(p[k])) {
continue fill_loop
}
}
}
for(var j=0; j<3; ++j) {
var v = cell[j]
var p = positions[v]
tPos.push(p[0], p[1], p[2], p[3])
var w = vectors[v]
tVec.push(w[0], w[1], w[2]);
var c
if(vertexColors) {
c = vertexColors[v]
} else if(cellColors) {
c = cellColors[i]
} else {
c = meshColor
}
if(c.length === 3) {
tCol.push(c[0], c[1], c[2], 1)
} else {
tCol.push(c[0], c[1], c[2], c[3])
}
var uv
if(vertexUVs) {
uv = vertexUVs[v]
} else if(vertexIntensity) {
uv = [
(vertexIntensity[v] - intensityLo) /
(intensityHi - intensityLo), 0]
} else if(cellUVs) {
uv = cellUVs[i]
} else if(cellIntensity) {
uv = [
(cellIntensity[i] - intensityLo) /
(intensityHi - intensityLo), 0]
} else {
uv = [
(p[2] - intensityLo) /
(intensityHi - intensityLo), 0]
}
tUVs.push(uv[0], uv[1])
var q
if(vertexNormals) {
q = vertexNormals[v]
} else {
q = cellNormals[i]
}
tNor.push(q[0], q[1], q[2])
tIds.push(i)
}
triangleCount += 1
break
default:
break
}
}
this.pointCount = pointCount
this.edgeCount = edgeCount
this.triangleCount = triangleCount
this.pointPositions.update(pPos)
this.pointColors.update(pCol)
this.pointUVs.update(pUVs)
this.pointSizes.update(pSiz)
this.pointIds.update(new Uint32Array(pIds))
this.edgePositions.update(ePos)
this.edgeColors.update(eCol)
this.edgeUVs.update(eUVs)
this.edgeIds.update(new Uint32Array(eIds))
this.trianglePositions.update(tPos)
this.triangleVectors.update(tVec)
this.triangleColors.update(tCol)
this.triangleUVs.update(tUVs)
this.triangleNormals.update(tNor)
this.triangleIds.update(new Uint32Array(tIds))
}
proto.drawTransparent = proto.draw = function(params) {
params = params || {}
var gl = this.gl
var model = params.model || identityMatrix
var view = params.view || identityMatrix
var projection = params.projection || identityMatrix
var clipBounds = [[-1e6,-1e6,-1e6],[1e6,1e6,1e6]]
for(var i=0; i<3; ++i) {
clipBounds[0][i] = Math.max(clipBounds[0][i], this.clipBounds[0][i])
clipBounds[1][i] = Math.min(clipBounds[1][i], this.clipBounds[1][i])
}
var uniforms = {
model: model,
view: view,
projection: projection,
clipBounds: clipBounds,
kambient: this.ambientLight,
kdiffuse: this.diffuseLight,
kspecular: this.specularLight,
roughness: this.roughness,
fresnel: this.fresnel,
eyePosition: [0,0,0],
lightPosition: [0,0,0],
opacity: this.opacity,
tubeScale: this.tubeScale,
contourColor: this.contourColor,
texture: 0
}
this.texture.bind(0)
var invCameraMatrix = new Array(16)
multiply(invCameraMatrix, uniforms.view, uniforms.model)
multiply(invCameraMatrix, uniforms.projection, invCameraMatrix)
invert(invCameraMatrix, invCameraMatrix)
for(var i=0; i<3; ++i) {
uniforms.eyePosition[i] = invCameraMatrix[12+i] / invCameraMatrix[15]
}
var w = invCameraMatrix[15]
for(var i=0; i<3; ++i) {
w += this.lightPosition[i] * invCameraMatrix[4*i+3]
}
for(var i=0; i<3; ++i) {
var s = invCameraMatrix[12+i]
for(var j=0; j<3; ++j) {
s += invCameraMatrix[4*j+i] * this.lightPosition[j]
}
uniforms.lightPosition[i] = s / w
}
if(this.triangleCount > 0) {
var shader = this.triShader
shader.bind()
shader.uniforms = uniforms
this.triangleVAO.bind()
gl.drawArrays(gl.TRIANGLES, 0, this.triangleCount*3)
this.triangleVAO.unbind()
}
if(this.edgeCount > 0 && this.lineWidth > 0) {
var shader = this.lineShader
shader.bind()
shader.uniforms = uniforms
this.edgeVAO.bind()
gl.lineWidth(this.lineWidth)
gl.drawArrays(gl.LINES, 0, this.edgeCount*2)
this.edgeVAO.unbind()
}
if(this.pointCount > 0) {
var shader = this.pointShader
shader.bind()
shader.uniforms = uniforms
this.pointVAO.bind()
gl.drawArrays(gl.POINTS, 0, this.pointCount)
this.pointVAO.unbind()
}
if(this.contourEnable && this.contourCount > 0 && this.contourLineWidth > 0) {
var shader = this.contourShader
shader.bind()
shader.uniforms = uniforms
this.contourVAO.bind()
gl.drawArrays(gl.LINES, 0, this.contourCount)
this.contourVAO.unbind()
}
}
proto.drawPick = function(params) {
params = params || {}
var gl = this.gl
var model = params.model || identityMatrix
var view = params.view || identityMatrix
var projection = params.projection || identityMatrix
var clipBounds = [[-1e6,-1e6,-1e6],[1e6,1e6,1e6]]
for(var i=0; i<3; ++i) {
clipBounds[0][i] = Math.max(clipBounds[0][i], this.clipBounds[0][i])
clipBounds[1][i] = Math.min(clipBounds[1][i], this.clipBounds[1][i])
}
//Save camera parameters
this._model = [].slice.call(model)
this._view = [].slice.call(view)
this._projection = [].slice.call(projection)
this._resolution = [gl.drawingBufferWidth, gl.drawingBufferHeight]
var uniforms = {
model: model,
view: view,
projection: projection,
clipBounds: clipBounds,
tubeScale: this.tubeScale,
pickId: this.pickId / 255.0,
}
var shader = this.pickShader
shader.bind()
shader.uniforms = uniforms
if(this.triangleCount > 0) {
this.triangleVAO.bind()
gl.drawArrays(gl.TRIANGLES, 0, this.triangleCount*3)
this.triangleVAO.unbind()
}
if(this.edgeCount > 0) {
this.edgeVAO.bind()
gl.lineWidth(this.lineWidth)
gl.drawArrays(gl.LINES, 0, this.edgeCount*2)
this.edgeVAO.unbind()
}
if(this.pointCount > 0) {
var shader = this.pointPickShader
shader.bind()
shader.uniforms = uniforms
this.pointVAO.bind()
gl.drawArrays(gl.POINTS, 0, this.pointCount)
this.pointVAO.unbind()
}
}
proto.pick = function(pickData) {
if(!pickData) {
return null
}
if(pickData.id !== this.pickId) {
return null
}
var cellId = pickData.value[0] + 256*pickData.value[1] + 65536*pickData.value[2]
var cell = this.cells[cellId]
var positions = this.positions
var simplex = new Array(cell.length)
for(var i=0; i<cell.length; ++i) {
simplex[i] = positions[cell[i]]
}
var data = closestPoint(
simplex,
[pickData.coord[0], this._resolution[1]-pickData.coord[1]],
this._model,
this._view,
this._projection,
this._resolution)
if(!data) {
return null
}
var weights = data[2]
var interpIntensity = 0.0
for(var i=0; i<cell.length; ++i) {
interpIntensity += weights[i] * this.intensity[cell[i]]
}
return {
position: data[1],
index: cell[data[0]],
cell: cell,
cellId: cellId,
intensity: interpIntensity,
tubeScale: this.tubeScale,
dataCoordinate: this.positions[cell[data[0]]]
}
}
proto.dispose = function() {
this.texture.dispose()
this.triShader.dispose()
// this.lineShader.dispose()
// this.pointShader.dispose()
this.pickShader.dispose()
// this.pointPickShader.dispose()
this.triangleVAO.dispose()
this.trianglePositions.dispose()
this.triangleVectors.dispose()
this.triangleColors.dispose()
this.triangleUVs.dispose()
this.triangleNormals.dispose()
this.triangleIds.dispose()
this.edgeVAO.dispose()
this.edgePositions.dispose()
this.edgeColors.dispose()
this.edgeUVs.dispose()
this.edgeIds.dispose()
this.pointVAO.dispose()
this.pointPositions.dispose()
this.pointColors.dispose()
this.pointUVs.dispose()
this.pointSizes.dispose()
this.pointIds.dispose()
this.contourVAO.dispose()
this.contourPositions.dispose()
// this.contourShader.dispose()
}
function createMeshShader(gl) {
var shader = createShader(gl, meshShader.vertex, meshShader.fragment, null, meshShader.attributes)
shader.attributes.position.location = 0
shader.attributes.color.location = 2
shader.attributes.uv.location = 3
shader.attributes.vector.location = 5
return shader
}
function createWireShader(gl) {
var shader = createShader(gl, wireShader.vertex, wireShader.fragment)
shader.attributes.position.location = 0
shader.attributes.color.location = 2
shader.attributes.uv.location = 3
return shader
}
function createPointShader(gl) {
var shader = createShader(gl, pointShader.vertex, pointShader.fragment)
shader.attributes.position.location = 0
shader.attributes.color.location = 2
shader.attributes.uv.location = 3
shader.attributes.pointSize.location = 4
return shader
}
function createPickShader(gl) {
var shader = createShader(gl, pickShader.vertex, pickShader.fragment)
shader.attributes.position.location = 0
shader.attributes.id.location = 1
return shader
}
function createPointPickShader(gl) {
var shader = createShader(gl, pointPickShader.vertex, pointPickShader.fragment)
shader.attributes.position.location = 0
shader.attributes.id.location = 1
shader.attributes.pointSize.location = 4
return shader
}
function createContourShader(gl) {
var shader = createShader(gl, contourShader.vertex, contourShader.fragment)
shader.attributes.position.location = 0
return shader
}
function createSimplicialMesh(gl, params) {
if (arguments.length === 1) {
params = gl;
gl = params.gl;
}
var triShader = params.triShader || createMeshShader(gl)
var lineShader = null; //createWireShader(gl)
var pointShader = null; //createPointShader(gl)
var pickShader = createPickShader(gl)
var pointPickShader = null; //createPointPickShader(gl)
var contourShader = null; //createContourShader(gl)
var meshTexture = createTexture(gl,
ndarray(new Uint8Array([255,255,255,255]), [1,1,4]))
meshTexture.generateMipmap()
meshTexture.minFilter = gl.LINEAR_MIPMAP_LINEAR
meshTexture.magFilter = gl.LINEAR
var trianglePositions = createBuffer(gl)
var triangleVectors = createBuffer(gl)
var triangleColors = createBuffer(gl)
var triangleUVs = createBuffer(gl)
var triangleNormals = createBuffer(gl)
var triangleIds = createBuffer(gl)
var triangleVAO = createVAO(gl, [
{ buffer: trianglePositions,
type: gl.FLOAT,
size: 4
},
{ buffer: triangleIds,
type: gl.UNSIGNED_BYTE,
size: 4,
normalized: true
},
{ buffer: triangleColors,
type: gl.FLOAT,
size: 4
},
{ buffer: triangleUVs,
type: gl.FLOAT,
size: 2
},
{ buffer: triangleNormals,
type: gl.FLOAT,
size: 3
},
{ buffer: triangleVectors,
type: gl.FLOAT,
size: 3
}
])
var edgePositions = createBuffer(gl)
var edgeColors = createBuffer(gl)
var edgeUVs = createBuffer(gl)
var edgeIds = createBuffer(gl)
var edgeVAO = createVAO(gl, [
{ buffer: edgePositions,
type: gl.FLOAT,
size: 3
},
{ buffer: edgeIds,
type: gl.UNSIGNED_BYTE,
size: 4,
normalized: true
},
{ buffer: edgeColors,
type: gl.FLOAT,
size: 4
},
{ buffer: edgeUVs,
type: gl.FLOAT,
size: 2
}
])
var pointPositions = createBuffer(gl)
var pointColors = createBuffer(gl)
var pointUVs = createBuffer(gl)
var pointSizes = createBuffer(gl)
var pointIds = createBuffer(gl)
var pointVAO = createVAO(gl, [
{ buffer: pointPositions,
type: gl.FLOAT,
size: 3
},
{ buffer: pointIds,
type: gl.UNSIGNED_BYTE,
size: 4,
normalized: true
},
{ buffer: pointColors,
type: gl.FLOAT,
size: 4
},
{ buffer: pointUVs,
type: gl.FLOAT,
size: 2
},
{ buffer: pointSizes,
type: gl.FLOAT,
size: 1
}
])
var contourPositions = createBuffer(gl)
var contourVAO = createVAO(gl, [
{ buffer: contourPositions,
type: gl.FLOAT,
size: 3
}])
var mesh = new SimplicialMesh(gl
, meshTexture
, triShader
, lineShader
, pointShader
, pickShader
, pointPickShader
, contourShader
, trianglePositions
, triangleVectors
, triangleIds
, triangleColors
, triangleUVs
, triangleNormals
, triangleVAO
, edgePositions
, edgeIds
, edgeColors
, edgeUVs
, edgeVAO
, pointPositions
, pointIds
, pointColors
, pointUVs
, pointSizes
, pointVAO
, contourPositions
, contourVAO)
mesh.update(params)
return mesh
}
module.exports = createSimplicialMesh
},{"./closest-point":9,"./shaders":10,"colormap":57,"gl-buffer":83,"gl-mat4/invert":94,"gl-mat4/multiply":96,"gl-shader":107,"gl-texture2d":116,"gl-vao":120,"ndarray":208,"normals":210,"simplicial-complex-contour":240,"typedarray-pool":257}],12:[function(require,module,exports){
'use strict'
module.exports = createCamera
var now = require('right-now')
var createView = require('3d-view')
var mouseChange = require('mouse-change')
var mouseWheel = require('mouse-wheel')
var mouseOffset = require('mouse-event-offset')
function createCamera(element, options) {
element = element || document.body
options = options || {}
var limits = [ 0.01, Infinity ]
if('distanceLimits' in options) {
limits[0] = options.distanceLimits[0]
limits[1] = options.distanceLimits[1]
}
if('zoomMin' in options) {
limits[0] = options.zoomMin
}
if('zoomMax' in options) {
limits[1] = options.zoomMax
}
var view = createView({
center: options.center || [0,0,0],
up: options.up || [0,1,0],
eye: options.eye || [0,0,10],
mode: options.mode || 'orbit',
distanceLimits: limits
})
var pmatrix = [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
var distance = 0.0
var width = element.clientWidth
var height = element.clientHeight
var camera = {
view: view,
element: element,
delay: options.delay || 16,
rotateSpeed: options.rotateSpeed || 1,
zoomSpeed: options.zoomSpeed || 1,
translateSpeed: options.translateSpeed || 1,
flipX: !!options.flipX,
flipY: !!options.flipY,
modes: view.modes,
tick: function() {
var t = now()
var delay = this.delay
view.idle(t-delay)
view.flush(t-(100+delay*2))
var ctime = t - 2 * delay
view.recalcMatrix(ctime)
var allEqual = true
var matrix = view.computedMatrix
for(var i=0; i<16; ++i) {
allEqual = allEqual && (pmatrix[i] === matrix[i])
pmatrix[i] = matrix[i]
}
var sizeChanged =
element.clientWidth === width &&
element.clientHeight === height
width = element.clientWidth
height = element.clientHeight
if(allEqual) {
return !sizeChanged
}
distance = Math.exp(view.computedRadius[0])
return true
},
lookAt: function(center, eye, up) {
view.lookAt(view.lastT(), center, eye, up)
},
rotate: function(pitch, yaw, roll) {
view.rotate(view.lastT(), pitch, yaw, roll)
},
pan: function(dx, dy, dz) {
view.pan(view.lastT(), dx, dy, dz)
},
translate: function(dx, dy, dz) {
view.translate(view.lastT(), dx, dy, dz)
}
}
Object.defineProperties(camera, {
matrix: {
get: function() {
return view.computedMatrix
},
set: function(mat) {
view.setMatrix(view.lastT(), mat)
return view.computedMatrix
},
enumerable: true
},
mode: {
get: function() {
return view.getMode()
},
set: function(mode) {
view.setMode(mode)
return view.getMode()
},
enumerable: true
},
center: {
get: function() {
return view.computedCenter
},
set: function(ncenter) {
view.lookAt(view.lastT(), ncenter)
return view.computedCenter
},
enumerable: true
},
eye: {
get: function() {
return view.computedEye
},
set: function(neye) {
view.lookAt(view.lastT(), null, neye)
return view.computedEye
},
enumerable: true
},
up: {
get: function() {
return view.computedUp
},
set: function(nup) {
view.lookAt(view.lastT(), null, null, nup)
return view.computedUp
},
enumerable: true
},
distance: {
get: function() {
return distance
},
set: function(d) {
view.setDistance(view.lastT(), d)
return d
},
enumerable: true
},
distanceLimits: {
get: function() {
return view.getDistanceLimits(limits)
},
set: function(v) {
view.setDistanceLimits(v)
return v
},
enumerable: true
}
})
element.addEventListener('contextmenu', function(ev) {
ev.preventDefault()
return false
})
var lastX = 0, lastY = 0, lastMods = {shift: false, control: false, alt: false, meta: false}
mouseChange(element, handleInteraction)
//enable simple touch interactions
element.addEventListener('touchstart', function (ev) {
var xy = mouseOffset(ev.changedTouches[0], element)
handleInteraction(0, xy[0], xy[1], lastMods)
handleInteraction(1, xy[0], xy[1], lastMods)
})
element.addEventListener('touchmove', function (ev) {
var xy = mouseOffset(ev.changedTouches[0], element)
handleInteraction(1, xy[0], xy[1], lastMods)
})
element.addEventListener('touchend', function (ev) {
var xy = mouseOffset(ev.changedTouches[0], element)
handleInteraction(0, lastX, lastY, lastMods)
})
function handleInteraction (buttons, x, y, mods) {
var scale = 1.0 / element.clientHeight
var dx = scale * (x - lastX)
var dy = scale * (y - lastY)
var flipX = camera.flipX ? 1 : -1
var flipY = camera.flipY ? 1 : -1
var drot = Math.PI * camera.rotateSpeed
var t = now()
if(buttons & 1) {
if(mods.shift) {
view.rotate(t, 0, 0, -dx * drot)
} else {
view.rotate(t, flipX * drot * dx, -flipY * drot * dy, 0)
}
} else if(buttons & 2) {
view.pan(t, -camera.translateSpeed * dx * distance, camera.translateSpeed * dy * distance, 0)
} else if(buttons & 4) {
var kzoom = camera.zoomSpeed * dy / window.innerHeight * (t - view.lastT()) * 50.0
view.pan(t, 0, 0, distance * (Math.exp(kzoom) - 1))
}
lastX = x
lastY = y
lastMods = mods
}
mouseWheel(element, function(dx, dy, dz) {
var flipX = camera.flipX ? 1 : -1
var flipY = camera.flipY ? 1 : -1
var t = now()
if(Math.abs(dx) > Math.abs(dy)) {
view.rotate(t, 0, 0, -dx * flipX * Math.PI * camera.rotateSpeed / window.innerWidth)
} else {
var kzoom = camera.zoomSpeed * flipY * dy / window.innerHeight * (t - view.lastT()) / 100.0
view.pan(t, 0, 0, distance * (Math.exp(kzoom) - 1))
}
}, true)
return camera
}
},{"3d-view":13,"mouse-change":200,"mouse-event-offset":201,"mouse-wheel":203,"right-now":228}],13:[function(require,module,exports){
'use strict'
module.exports = createViewController
var createTurntable = require('turntable-camera-controller')
var createOrbit = require('orbit-camera-controller')
var createMatrix = require('matrix-camera-controller')
function ViewController(controllers, mode) {
this._controllerNames = Object.keys(controllers)
this._controllerList = this._controllerNames.map(function(n) {
return controllers[n]
})
this._mode = mode
this._active = controllers[mode]
if(!this._active) {
this._mode = 'turntable'
this._active = controllers.turntable
}
this.modes = this._controllerNames
this.computedMatrix = this._active.computedMatrix
this.computedEye = this._active.computedEye
this.computedUp = this._active.computedUp
this.computedCenter = this._active.computedCenter
this.computedRadius = this._active.computedRadius
}
var proto = ViewController.prototype
var COMMON_METHODS = [
['flush', 1],
['idle', 1],
['lookAt', 4],
['rotate', 4],
['pan', 4],
['translate', 4],
['setMatrix', 2],
['setDistanceLimits', 2],
['setDistance', 2]
]
COMMON_METHODS.forEach(function(method) {
var name = method[0]
var argNames = []
for(var i=0; i<method[1]; ++i) {
argNames.push('a'+i)
}
var code = 'var cc=this._controllerList;for(var i=0;i<cc.length;++i){cc[i].'+method[0]+'('+argNames.join()+')}'
proto[name] = Function.apply(null, argNames.concat(code))
})
proto.recalcMatrix = function(t) {
this._active.recalcMatrix(t)
}
proto.getDistance = function(t) {
return this._active.getDistance(t)
}
proto.getDistanceLimits = function(out) {
return this._active.getDistanceLimits(out)
}
proto.lastT = function() {
return this._active.lastT()
}
proto.setMode = function(mode) {
if(mode === this._mode) {
return
}
var idx = this._controllerNames.indexOf(mode)
if(idx < 0) {
return
}
var prev = this._active
var next = this._controllerList[idx]
var lastT = Math.max(prev.lastT(), next.lastT())
prev.recalcMatrix(lastT)
next.setMatrix(lastT, prev.computedMatrix)
this._active = next
this._mode = mode
//Update matrix properties
this.computedMatrix = this._active.computedMatrix
this.computedEye = this._active.computedEye
this.computedUp = this._active.computedUp
this.computedCenter = this._active.computedCenter
this.computedRadius = this._active.computedRadius
}
proto.getMode = function() {
return this._mode
}
function createViewController(options) {
options = options || {}
var eye = options.eye || [0,0,1]
var center = options.center || [0,0,0]
var up = options.up || [0,1,0]
var limits = options.distanceLimits || [0, Infinity]
var mode = options.mode || 'turntable'
var turntable = createTurntable()
var orbit = createOrbit()
var matrix = createMatrix()
turntable.setDistanceLimits(limits[0], limits[1])
turntable.lookAt(0, eye, center, up)
orbit.setDistanceLimits(limits[0], limits[1])
orbit.lookAt(0, eye, center, up)
matrix.setDistanceLimits(limits[0], limits[1])
matrix.lookAt(0, eye, center, up)
return new ViewController({
turntable: turntable,
orbit: orbit,
matrix: matrix
}, mode)
}
},{"matrix-camera-controller":198,"orbit-camera-controller":212,"turntable-camera-controller":254}],14:[function(require,module,exports){
var padLeft = require('pad-left')
module.exports = addLineNumbers
function addLineNumbers (string, start, delim) {
start = typeof start === 'number' ? start : 1
delim = delim || ': '
var lines = string.split(/\r?\n/)
var totalDigits = String(lines.length + start - 1).length
return lines.map(function (line, i) {
var c = i + start
var digits = String(c).length
var prefix = padLeft(c, totalDigits - digits)
return prefix + delim + line
}).join('\n')
}
},{"pad-left":213}],15:[function(require,module,exports){
'use strict'
module.exports = affineHull
var orient = require('robust-orientation')
function linearlyIndependent(points, d) {
var nhull = new Array(d+1)
for(var i=0; i<points.length; ++i) {
nhull[i] = points[i]
}
for(var i=0; i<=points.length; ++i) {
for(var j=points.length; j<=d; ++j) {
var x = new Array(d)
for(var k=0; k<d; ++k) {
x[k] = Math.pow(j+1-i, k)
}
nhull[j] = x
}
var o = orient.apply(void 0, nhull)
if(o) {
return true
}
}
return false
}
function affineHull(points) {
var n = points.length
if(n === 0) {
return []
}
if(n === 1) {
return [0]
}
var d = points[0].length
var frame = [ points[0] ]
var index = [ 0 ]
for(var i=1; i<n; ++i) {
frame.push(points[i])
if(!linearlyIndependent(frame, d)) {
frame.pop()
continue
}
index.push(i)
if(index.length === d+1) {
return index
}
}
return index
}
},{"robust-orientation":234}],16:[function(require,module,exports){
'use strict';
var arraytools = function () {
var that = {};
var RGB_REGEX = /^rgba?\(\s*\d{1,3}\s*,\s*\d{1,3}\s*,\s*\d{1,3}\s*(,.*)?\)$/;
var RGB_GROUP_REGEX = /^rgba?\(\s*(\d{1,3})\s*,\s*(\d{1,3})\s*,\s*(\d{1,3})\s*,?\s*(.*)?\)$/;
function isPlainObject (v) {
return !Array.isArray(v) && v !== null && typeof v === 'object';
}
function linspace (start, end, num) {
var inc = (end - start) / Math.max(num - 1, 1);
var a = [];
for( var ii = 0; ii < num; ii++)
a.push(start + ii*inc);
return a;
}
function zip () {
var arrays = [].slice.call(arguments);
var lengths = arrays.map(function (a) {return a.length;});
var len = Math.min.apply(null, lengths);
var zipped = [];
for (var i = 0; i < len; i++) {
zipped[i] = [];
for (var j = 0; j < arrays.length; ++j) {
zipped[i][j] = arrays[j][i];
}
}
return zipped;
}
function zip3 (a, b, c) {
var len = Math.min.apply(null, [a.length, b.length, c.length]);
var result = [];
for (var n = 0; n < len; n++) {
result.push([a[n], b[n], c[n]]);
}
return result;
}
function sum (A) {
var acc = 0;
accumulate(A, acc);
function accumulate(x) {
for (var i = 0; i < x.length; i++) {
if (Array.isArray(x[i]))
accumulate(x[i], acc);
else
acc += x[i];
}
}
return acc;
}
function copy2D (arr) {
var carr = [];
for (var i = 0; i < arr.length; ++i) {
carr[i] = [];
for (var j = 0; j < arr[i].length; ++j) {
carr[i][j] = arr[i][j];
}
}
return carr;
}
function copy1D (arr) {
var carr = [];
for (var i = 0; i < arr.length; ++i) {
carr[i] = arr[i];
}
return carr;
}
function isEqual(arr1, arr2) {
if(arr1.length !== arr2.length)
return false;
for(var i = arr1.length; i--;) {
if(arr1[i] !== arr2[i])
return false;
}
return true;
}
function str2RgbArray(str, twoFiftySix) {
// convert hex or rbg strings to 0->1 or 0->255 rgb array
var rgb,
match;
if (typeof str !== 'string') return str;
rgb = [];
// hex notation
if (str[0] === '#') {
str = str.substr(1) // remove hash
if (str.length === 3) str += str // fff -> ffffff
match = parseInt(str, 16);
rgb[0] = ((match >> 16) & 255);
rgb[1] = ((match >> 8) & 255);
rgb[2] = (match & 255);
}
// rgb(34, 34, 127) or rgba(34, 34, 127, 0.1) notation
else if (RGB_REGEX.test(str)) {
match = str.match(RGB_GROUP_REGEX);
rgb[0] = parseInt(match[1]);
rgb[1] = parseInt(match[2]);
rgb[2] = parseInt(match[3]);
}
if (!twoFiftySix) {
for (var j=0; j<3; ++j) rgb[j] = rgb[j]/255
}
return rgb;
}
function str2RgbaArray(str, twoFiftySix) {
// convert hex or rbg strings to 0->1 or 0->255 rgb array
var rgb,
match;
if (typeof str !== 'string') return str;
rgb = [];
// hex notation
if (str[0] === '#') {
str = str.substr(1) // remove hash
if (str.length === 3) str += str // fff -> ffffff
match = parseInt(str, 16);
rgb[0] = ((match >> 16) & 255);
rgb[1] = ((match >> 8) & 255);
rgb[2] = (match & 255);
}
// rgb(34, 34, 127) or rgba(34, 34, 127, 0.1) notation
else if (RGB_REGEX.test(str)) {
match = str.match(RGB_GROUP_REGEX);
rgb[0] = parseInt(match[1]);
rgb[1] = parseInt(match[2]);
rgb[2] = parseInt(match[3]);
if (match[4]) rgb[3] = parseFloat(match[4]);
else rgb[3] = 1.0;
}
if (!twoFiftySix) {
for (var j=0; j<3; ++j) rgb[j] = rgb[j]/255
}
return rgb;
}
that.isPlainObject = isPlainObject;
that.linspace = linspace;
that.zip3 = zip3;
that.sum = sum;
that.zip = zip;
that.isEqual = isEqual;
that.copy2D = copy2D;
that.copy1D = copy1D;
that.str2RgbArray = str2RgbArray;
that.str2RgbaArray = str2RgbaArray;
return that
}
module.exports = arraytools();
},{}],17:[function(require,module,exports){
module.exports = function _atob(str) {
return atob(str)
}
},{}],18:[function(require,module,exports){
'use strict'
module.exports = barycentric
var solve = require('robust-linear-solve')
function reduce(x) {
var r = 0
for(var i=0; i<x.length; ++i) {
r += x[i]
}
return r
}
function barycentric(simplex, point) {
var d = point.length
var A = new Array(d+1)
for(var i=0; i<d; ++i) {
var row = new Array(d+1)
for(var j=0; j<=d; ++j) {
row[j] = simplex[j][i]
}
A[i] = row
}
A[d] = new Array(d+1)
for(var i=0; i<=d; ++i) {
A[d][i] = 1
}
var b = new Array(d+1)
for(var i=0; i<d; ++i) {
b[i] = point[i]
}
b[d] = 1.0
var x = solve(A, b)
var w = reduce(x[d+1])
if(w === 0) {
w = 1.0
}
var y = new Array(d+1)
for(var i=0; i<=d; ++i) {
y[i] = reduce(x[i]) / w
}
return y
}
},{"robust-linear-solve":233}],19:[function(require,module,exports){
'use strict'
var rationalize = require('./lib/rationalize')
module.exports = add
function add(a, b) {
return rationalize(
a[0].mul(b[1]).add(b[0].mul(a[1])),
a[1].mul(b[1]))
}
},{"./lib/rationalize":29}],20:[function(require,module,exports){
'use strict'
module.exports = cmp
function cmp(a, b) {
return a[0].mul(b[1]).cmp(b[0].mul(a[1]))
}
},{}],21:[function(require,module,exports){
'use strict'
var rationalize = require('./lib/rationalize')
module.exports = div
function div(a, b) {
return rationalize(a[0].mul(b[1]), a[1].mul(b[0]))
}
},{"./lib/rationalize":29}],22:[function(require,module,exports){
'use strict'
var isRat = require('./is-rat')
var isBN = require('./lib/is-bn')
var num2bn = require('./lib/num-to-bn')
var str2bn = require('./lib/str-to-bn')
var rationalize = require('./lib/rationalize')
var div = require('./div')
module.exports = makeRational
function makeRational(numer, denom) {
if(isRat(numer)) {
if(denom) {
return div(numer, makeRational(denom))
}
return [numer[0].clone(), numer[1].clone()]
}
var shift = 0
var a, b
if(isBN(numer)) {
a = numer.clone()
} else if(typeof numer === 'string') {
a = str2bn(numer)
} else if(numer === 0) {
return [num2bn(0), num2bn(1)]
} else if(numer === Math.floor(numer)) {
a = num2bn(numer)
} else {
while(numer !== Math.floor(numer)) {
numer = numer * Math.pow(2, 256)
shift -= 256
}
a = num2bn(numer)
}
if(isRat(denom)) {
a.mul(denom[1])
b = denom[0].clone()
} else if(isBN(denom)) {
b = denom.clone()
} else if(typeof denom === 'string') {
b = str2bn(denom)
} else if(!denom) {
b = num2bn(1)
} else if(denom === Math.floor(denom)) {
b = num2bn(denom)
} else {
while(denom !== Math.floor(denom)) {
denom = denom * Math.pow(2, 256)
shift += 256
}
b = num2bn(denom)
}
if(shift > 0) {
a = a.ushln(shift)
} else if(shift < 0) {
b = b.ushln(-shift)
}
return rationalize(a, b)
}
},{"./div":21,"./is-rat":23,"./lib/is-bn":27,"./lib/num-to-bn":28,"./lib/rationalize":29,"./lib/str-to-bn":30}],23:[function(require,module,exports){
'use strict'
var isBN = require('./lib/is-bn')
module.exports = isRat
function isRat(x) {
return Array.isArray(x) && x.length === 2 && isBN(x[0]) && isBN(x[1])
}
},{"./lib/is-bn":27}],24:[function(require,module,exports){
'use strict'
var BN = require('bn.js')
module.exports = sign
function sign (x) {
return x.cmp(new BN(0))
}
},{"bn.js":37}],25:[function(require,module,exports){
'use strict'
var sign = require('./bn-sign')
module.exports = bn2num
//TODO: Make this better
function bn2num(b) {
var l = b.length
var words = b.words
var out = 0
if (l === 1) {
out = words[0]
} else if (l === 2) {
out = words[0] + (words[1] * 0x4000000)
} else {
for (var i = 0; i < l; i++) {
var w = words[i]
out += w * Math.pow(0x4000000, i)
}
}
return sign(b) * out
}
},{"./bn-sign":24}],26:[function(require,module,exports){
'use strict'
var db = require('double-bits')
var ctz = require('bit-twiddle').countTrailingZeros
module.exports = ctzNumber
//Counts the number of trailing zeros
function ctzNumber(x) {
var l = ctz(db.lo(x))
if(l < 32) {
return l
}
var h = ctz(db.hi(x))
if(h > 20) {
return 52
}
return h + 32
}
},{"bit-twiddle":36,"double-bits":69}],27:[function(require,module,exports){
'use strict'
var BN = require('bn.js')
module.exports = isBN
//Test if x is a bignumber
//FIXME: obviously this is the wrong way to do it
function isBN(x) {
return x && typeof x === 'object' && Boolean(x.words)
}
},{"bn.js":37}],28:[function(require,module,exports){
'use strict'
var BN = require('bn.js')
var db = require('double-bits')
module.exports = num2bn
function num2bn(x) {
var e = db.exponent(x)
if(e < 52) {
return new BN(x)
} else {
return (new BN(x * Math.pow(2, 52-e))).ushln(e-52)
}
}
},{"bn.js":37,"double-bits":69}],29:[function(require,module,exports){
'use strict'
var num2bn = require('./num-to-bn')
var sign = require('./bn-sign')
module.exports = rationalize
function rationalize(numer, denom) {
var snumer = sign(numer)
var sdenom = sign(denom)
if(snumer === 0) {
return [num2bn(0), num2bn(1)]
}
if(sdenom === 0) {
return [num2bn(0), num2bn(0)]
}
if(sdenom < 0) {
numer = numer.neg()
denom = denom.neg()
}
var d = numer.gcd(denom)
if(d.cmpn(1)) {
return [ numer.div(d), denom.div(d) ]
}
return [ numer, denom ]
}
},{"./bn-sign":24,"./num-to-bn":28}],30:[function(require,module,exports){
'use strict'
var BN = require('bn.js')
module.exports = str2BN
function str2BN(x) {
return new BN(x)
}
},{"bn.js":37}],31:[function(require,module,exports){
'use strict'
var rationalize = require('./lib/rationalize')
module.exports = mul
function mul(a, b) {
return rationalize(a[0].mul(b[0]), a[1].mul(b[1]))
}
},{"./lib/rationalize":29}],32:[function(require,module,exports){
'use strict'
var bnsign = require('./lib/bn-sign')
module.exports = sign
function sign(x) {
return bnsign(x[0]) * bnsign(x[1])
}
},{"./lib/bn-sign":24}],33:[function(require,module,exports){
'use strict'
var rationalize = require('./lib/rationalize')
module.exports = sub
function sub(a, b) {
return rationalize(a[0].mul(b[1]).sub(a[1].mul(b[0])), a[1].mul(b[1]))
}
},{"./lib/rationalize":29}],34:[function(require,module,exports){
'use strict'
var bn2num = require('./lib/bn-to-num')
var ctz = require('./lib/ctz')
module.exports = roundRat
// Round a rational to the closest float
function roundRat (f) {
var a = f[0]
var b = f[1]
if (a.cmpn(0) === 0) {
return 0
}
var h = a.abs().divmod(b.abs())
var iv = h.div
var x = bn2num(iv)
var ir = h.mod
var sgn = (a.negative !== b.negative) ? -1 : 1
if (ir.cmpn(0) === 0) {
return sgn * x
}
if (x) {
var s = ctz(x) + 4
var y = bn2num(ir.ushln(s).divRound(b))
return sgn * (x + y * Math.pow(2, -s))
} else {
var ybits = b.bitLength() - ir.bitLength() + 53
var y = bn2num(ir.ushln(ybits).divRound(b))
if (ybits < 1023) {
return sgn * y * Math.pow(2, -ybits)
}
y *= Math.pow(2, -1023)
return sgn * y * Math.pow(2, 1023 - ybits)
}
}
},{"./lib/bn-to-num":25,"./lib/ctz":26}],35:[function(require,module,exports){
"use strict"
function compileSearch(funcName, predicate, reversed, extraArgs, useNdarray, earlyOut) {
var code = [
"function ", funcName, "(a,l,h,", extraArgs.join(","), "){",
earlyOut ? "" : "var i=", (reversed ? "l-1" : "h+1"),
";while(l<=h){\
var m=(l+h)>>>1,x=a", useNdarray ? ".get(m)" : "[m]"]
if(earlyOut) {
if(predicate.indexOf("c") < 0) {
code.push(";if(x===y){return m}else if(x<=y){")
} else {
code.push(";var p=c(x,y);if(p===0){return m}else if(p<=0){")
}
} else {
code.push(";if(", predicate, "){i=m;")
}
if(reversed) {
code.push("l=m+1}else{h=m-1}")
} else {
code.push("h=m-1}else{l=m+1}")
}
code.push("}")
if(earlyOut) {
code.push("return -1};")
} else {
code.push("return i};")
}
return code.join("")
}
function compileBoundsSearch(predicate, reversed, suffix, earlyOut) {
var result = new Function([
compileSearch("A", "x" + predicate + "y", reversed, ["y"], false, earlyOut),
compileSearch("B", "x" + predicate + "y", reversed, ["y"], true, earlyOut),
compileSearch("P", "c(x,y)" + predicate + "0", reversed, ["y", "c"], false, earlyOut),
compileSearch("Q", "c(x,y)" + predicate + "0", reversed, ["y", "c"], true, earlyOut),
"function dispatchBsearch", suffix, "(a,y,c,l,h){\
if(a.shape){\
if(typeof(c)==='function'){\
return Q(a,(l===undefined)?0:l|0,(h===undefined)?a.shape[0]-1:h|0,y,c)\
}else{\
return B(a,(c===undefined)?0:c|0,(l===undefined)?a.shape[0]-1:l|0,y)\
}}else{\
if(typeof(c)==='function'){\
return P(a,(l===undefined)?0:l|0,(h===undefined)?a.length-1:h|0,y,c)\
}else{\
return A(a,(c===undefined)?0:c|0,(l===undefined)?a.length-1:l|0,y)\
}}}\
return dispatchBsearch", suffix].join(""))
return result()
}
module.exports = {
ge: compileBoundsSearch(">=", false, "GE"),
gt: compileBoundsSearch(">", false, "GT"),
lt: compileBoundsSearch("<", true, "LT"),
le: compileBoundsSearch("<=", true, "LE"),
eq: compileBoundsSearch("-", true, "EQ", true)
}
},{}],36:[function(require,module,exports){
/**
* Bit twiddling hacks for JavaScript.
*
* Author: Mikola Lysenko
*
* Ported from Stanford bit twiddling hack library:
* http://graphics.stanford.edu/~seander/bithacks.html
*/
"use strict"; "use restrict";
//Number of bits in an integer
var INT_BITS = 32;
//Constants
exports.INT_BITS = INT_BITS;
exports.INT_MAX = 0x7fffffff;
exports.INT_MIN = -1<<(INT_BITS-1);
//Returns -1, 0, +1 depending on sign of x
exports.sign = function(v) {
return (v > 0) - (v < 0);
}
//Computes absolute value of integer
exports.abs = function(v) {
var mask = v >> (INT_BITS-1);
return (v ^ mask) - mask;
}
//Computes minimum of integers x and y
exports.min = function(x, y) {
return y ^ ((x ^ y) & -(x < y));
}
//Computes maximum of integers x and y
exports.max = function(x, y) {
return x ^ ((x ^ y) & -(x < y));
}
//Checks if a number is a power of two
exports.isPow2 = function(v) {
return !(v & (v-1)) && (!!v);
}
//Computes log base 2 of v
exports.log2 = function(v) {
var r, shift;
r = (v > 0xFFFF) << 4; v >>>= r;
shift = (v > 0xFF ) << 3; v >>>= shift; r |= shift;
shift = (v > 0xF ) << 2; v >>>= shift; r |= shift;
shift = (v > 0x3 ) << 1; v >>>= shift; r |= shift;
return r | (v >> 1);
}
//Computes log base 10 of v
exports.log10 = function(v) {
return (v >= 1000000000) ? 9 : (v >= 100000000) ? 8 : (v >= 10000000) ? 7 :
(v >= 1000000) ? 6 : (v >= 100000) ? 5 : (v >= 10000) ? 4 :
(v >= 1000) ? 3 : (v >= 100) ? 2 : (v >= 10) ? 1 : 0;
}
//Counts number of bits
exports.popCount = function(v) {
v = v - ((v >>> 1) & 0x55555555);
v = (v & 0x33333333) + ((v >>> 2) & 0x33333333);
return ((v + (v >>> 4) & 0xF0F0F0F) * 0x1010101) >>> 24;
}
//Counts number of trailing zeros
function countTrailingZeros(v) {
var c = 32;
v &= -v;
if (v) c--;
if (v & 0x0000FFFF) c -= 16;
if (v & 0x00FF00FF) c -= 8;
if (v & 0x0F0F0F0F) c -= 4;
if (v & 0x33333333) c -= 2;
if (v & 0x55555555) c -= 1;
return c;
}
exports.countTrailingZeros = countTrailingZeros;
//Rounds to next power of 2
exports.nextPow2 = function(v) {
v += v === 0;
--v;
v |= v >>> 1;
v |= v >>> 2;
v |= v >>> 4;
v |= v >>> 8;
v |= v >>> 16;
return v + 1;
}
//Rounds down to previous power of 2
exports.prevPow2 = function(v) {
v |= v >>> 1;
v |= v >>> 2;
v |= v >>> 4;
v |= v >>> 8;
v |= v >>> 16;
return v - (v>>>1);
}
//Computes parity of word
exports.parity = function(v) {
v ^= v >>> 16;
v ^= v >>> 8;
v ^= v >>> 4;
v &= 0xf;
return (0x6996 >>> v) & 1;
}
var REVERSE_TABLE = new Array(256);
(function(tab) {
for(var i=0; i<256; ++i) {
var v = i, r = i, s = 7;
for (v >>>= 1; v; v >>>= 1) {
r <<= 1;
r |= v & 1;
--s;
}
tab[i] = (r << s) & 0xff;
}
})(REVERSE_TABLE);
//Reverse bits in a 32 bit word
exports.reverse = function(v) {
return (REVERSE_TABLE[ v & 0xff] << 24) |
(REVERSE_TABLE[(v >>> 8) & 0xff] << 16) |
(REVERSE_TABLE[(v >>> 16) & 0xff] << 8) |
REVERSE_TABLE[(v >>> 24) & 0xff];
}
//Interleave bits of 2 coordinates with 16 bits. Useful for fast quadtree codes
exports.interleave2 = function(x, y) {
x &= 0xFFFF;
x = (x | (x << 8)) & 0x00FF00FF;
x = (x | (x << 4)) & 0x0F0F0F0F;
x = (x | (x << 2)) & 0x33333333;
x = (x | (x << 1)) & 0x55555555;
y &= 0xFFFF;
y = (y | (y << 8)) & 0x00FF00FF;
y = (y | (y << 4)) & 0x0F0F0F0F;
y = (y | (y << 2)) & 0x33333333;
y = (y | (y << 1)) & 0x55555555;
return x | (y << 1);
}
//Extracts the nth interleaved component
exports.deinterleave2 = function(v, n) {
v = (v >>> n) & 0x55555555;
v = (v | (v >>> 1)) & 0x33333333;
v = (v | (v >>> 2)) & 0x0F0F0F0F;
v = (v | (v >>> 4)) & 0x00FF00FF;
v = (v | (v >>> 16)) & 0x000FFFF;
return (v << 16) >> 16;
}
//Interleave bits of 3 coordinates, each with 10 bits. Useful for fast octree codes
exports.interleave3 = function(x, y, z) {
x &= 0x3FF;
x = (x | (x<<16)) & 4278190335;
x = (x | (x<<8)) & 251719695;
x = (x | (x<<4)) & 3272356035;
x = (x | (x<<2)) & 1227133513;
y &= 0x3FF;
y = (y | (y<<16)) & 4278190335;
y = (y | (y<<8)) & 251719695;
y = (y | (y<<4)) & 3272356035;
y = (y | (y<<2)) & 1227133513;
x |= (y << 1);
z &= 0x3FF;
z = (z | (z<<16)) & 4278190335;
z = (z | (z<<8)) & 251719695;
z = (z | (z<<4)) & 3272356035;
z = (z | (z<<2)) & 1227133513;
return x | (z << 2);
}
//Extracts nth interleaved component of a 3-tuple
exports.deinterleave3 = function(v, n) {
v = (v >>> n) & 1227133513;
v = (v | (v>>>2)) & 3272356035;
v = (v | (v>>>4)) & 251719695;
v = (v | (v>>>8)) & 4278190335;
v = (v | (v>>>16)) & 0x3FF;
return (v<<22)>>22;
}
//Computes next combination in colexicographic order (this is mistakenly called nextPermutation on the bit twiddling hacks page)
exports.nextCombination = function(v) {
var t = v | (v - 1);
return (t + 1) | (((~t & -~t) - 1) >>> (countTrailingZeros(v) + 1));
}
},{}],37:[function(require,module,exports){
(function (module, exports) {
'use strict';
// Utils
function assert (val, msg) {
if (!val) throw new Error(msg || 'Assertion failed');
}
// Could use `inherits` module, but don't want to move from single file
// architecture yet.
function inherits (ctor, superCtor) {
ctor.super_ = superCtor;
var TempCtor = function () {};
TempCtor.prototype = superCtor.prototype;
ctor.prototype = new TempCtor();
ctor.prototype.constructor = ctor;
}
// BN
function BN (number, base, endian) {
if (BN.isBN(number)) {
return number;
}
this.negative = 0;
this.words = null;
this.length = 0;
// Reduction context
this.red = null;
if (number !== null) {
if (base === 'le' || base === 'be') {
endian = base;
base = 10;
}
this._init(number || 0, base || 10, endian || 'be');
}
}
if (typeof module === 'object') {
module.exports = BN;
} else {
exports.BN = BN;
}
BN.BN = BN;
BN.wordSize = 26;
var Buffer;
try {
Buffer = require('buffer').Buffer;
} catch (e) {
}
BN.isBN = function isBN (num) {
if (num instanceof BN) {
return true;
}
return num !== null && typeof num === 'object' &&
num.constructor.wordSize === BN.wordSize && Array.isArray(num.words);
};
BN.max = function max (left, right) {
if (left.cmp(right) > 0) return left;
return right;
};
BN.min = function min (left, right) {
if (left.cmp(right) < 0) return left;
return right;
};
BN.prototype._init = function init (number, base, endian) {
if (typeof number === 'number') {
return this._initNumber(number, base, endian);
}
if (typeof number === 'object') {
return this._initArray(number, base, endian);
}
if (base === 'hex') {
base = 16;
}
assert(base === (base | 0) && base >= 2 && base <= 36);
number = number.toString().replace(/\s+/g, '');
var start = 0;
if (number[0] === '-') {
start++;
}
if (base === 16) {
this._parseHex(number, start);
} else {
this._parseBase(number, base, start);
}
if (number[0] === '-') {
this.negative = 1;
}
this.strip();
if (endian !== 'le') return;
this._initArray(this.toArray(), base, endian);
};
BN.prototype._initNumber = function _initNumber (number, base, endian) {
if (number < 0) {
this.negative = 1;
number = -number;
}
if (number < 0x4000000) {
this.words = [ number & 0x3ffffff ];
this.length = 1;
} else if (number < 0x10000000000000) {
this.words = [
number & 0x3ffffff,
(number / 0x4000000) & 0x3ffffff
];
this.length = 2;
} else {
assert(number < 0x20000000000000); // 2 ^ 53 (unsafe)
this.words = [
number & 0x3ffffff,
(number / 0x4000000) & 0x3ffffff,
1
];
this.length = 3;
}
if (endian !== 'le') return;
// Reverse the bytes
this._initArray(this.toArray(), base, endian);
};
BN.prototype._initArray = function _initArray (number, base, endian) {
// Perhaps a Uint8Array
assert(typeof number.length === 'number');
if (number.length <= 0) {
this.words = [ 0 ];
this.length = 1;
return this;
}
this.length = Math.ceil(number.length / 3);
this.words = new Array(this.length);
for (var i = 0; i < this.length; i++) {
this.words[i] = 0;
}
var j, w;
var off = 0;
if (endian === 'be') {
for (i = number.length - 1, j = 0; i >= 0; i -= 3) {
w = number[i] | (number[i - 1] << 8) | (number[i - 2] << 16);
this.words[j] |= (w << off) & 0x3ffffff;
this.words[j + 1] = (w >>> (26 - off)) & 0x3ffffff;
off += 24;
if (off >= 26) {
off -= 26;
j++;
}
}
} else if (endian === 'le') {
for (i = 0, j = 0; i < number.length; i += 3) {
w = number[i] | (number[i + 1] << 8) | (number[i + 2] << 16);
this.words[j] |= (w << off) & 0x3ffffff;
this.words[j + 1] = (w >>> (26 - off)) & 0x3ffffff;
off += 24;
if (off >= 26) {
off -= 26;
j++;
}
}
}
return this.strip();
};
function parseHex (str, start, end) {
var r = 0;
var len = Math.min(str.length, end);
for (var i = start; i < len; i++) {
var c = str.charCodeAt(i) - 48;
r <<= 4;
// 'a' - 'f'
if (c >= 49 && c <= 54) {
r |= c - 49 + 0xa;
// 'A' - 'F'
} else if (c >= 17 && c <= 22) {
r |= c - 17 + 0xa;
// '0' - '9'
} else {
r |= c & 0xf;
}
}
return r;
}
BN.prototype._parseHex = function _parseHex (number, start) {
// Create possibly bigger array to ensure that it fits the number
this.length = Math.ceil((number.length - start) / 6);
this.words = new Array(this.length);
for (var i = 0; i < this.length; i++) {
this.words[i] = 0;
}
var j, w;
// Scan 24-bit chunks and add them to the number
var off = 0;
for (i = number.length - 6, j = 0; i >= start; i -= 6) {
w = parseHex(number, i, i + 6);
this.words[j] |= (w << off) & 0x3ffffff;
// NOTE: `0x3fffff` is intentional here, 26bits max shift + 24bit hex limb
this.words[j + 1] |= w >>> (26 - off) & 0x3fffff;
off += 24;
if (off >= 26) {
off -= 26;
j++;
}
}
if (i + 6 !== start) {
w = parseHex(number, start, i + 6);
this.words[j] |= (w << off) & 0x3ffffff;
this.words[j + 1] |= w >>> (26 - off) & 0x3fffff;
}
this.strip();
};
function parseBase (str, start, end, mul) {
var r = 0;
var len = Math.min(str.length, end);
for (var i = start; i < len; i++) {
var c = str.charCodeAt(i) - 48;
r *= mul;
// 'a'
if (c >= 49) {
r += c - 49 + 0xa;
// 'A'
} else if (c >= 17) {
r += c - 17 + 0xa;
// '0' - '9'
} else {
r += c;
}
}
return r;
}
BN.prototype._parseBase = function _parseBase (number, base, start) {
// Initialize as zero
this.words = [ 0 ];
this.length = 1;
// Find length of limb in base
for (var limbLen = 0, limbPow = 1; limbPow <= 0x3ffffff; limbPow *= base) {
limbLen++;
}
limbLen--;
limbPow = (limbPow / base) | 0;
var total = number.length - start;
var mod = total % limbLen;
var end = Math.min(total, total - mod) + start;
var word = 0;
for (var i = start; i < end; i += limbLen) {
word = parseBase(number, i, i + limbLen, base);
this.imuln(limbPow);
if (this.words[0] + word < 0x4000000) {
this.words[0] += word;
} else {
this._iaddn(word);
}
}
if (mod !== 0) {
var pow = 1;
word = parseBase(number, i, number.length, base);
for (i = 0; i < mod; i++) {
pow *= base;
}
this.imuln(pow);
if (this.words[0] + word < 0x4000000) {
this.words[0] += word;
} else {
this._iaddn(word);
}
}
};
BN.prototype.copy = function copy (dest) {
dest.words = new Array(this.length);
for (var i = 0; i < this.length; i++) {
dest.words[i] = this.words[i];
}
dest.length = this.length;
dest.negative = this.negative;
dest.red = this.red;
};
BN.prototype.clone = function clone () {
var r = new BN(null);
this.copy(r);
return r;
};
BN.prototype._expand = function _expand (size) {
while (this.length < size) {
this.words[this.length++] = 0;
}
return this;
};
// Remove leading `0` from `this`
BN.prototype.strip = function strip () {
while (this.length > 1 && this.words[this.length - 1] === 0) {
this.length--;
}
return this._normSign();
};
BN.prototype._normSign = function _normSign () {
// -0 = 0
if (this.length === 1 && this.words[0] === 0) {
this.negative = 0;
}
return this;
};
BN.prototype.inspect = function inspect () {
return (this.red ? '<BN-R: ' : '<BN: ') + this.toString(16) + '>';
};
/*
var zeros = [];
var groupSizes = [];
var groupBases = [];
var s = '';
var i = -1;
while (++i < BN.wordSize) {
zeros[i] = s;
s += '0';
}
groupSizes[0] = 0;
groupSizes[1] = 0;
groupBases[0] = 0;
groupBases[1] = 0;
var base = 2 - 1;
while (++base < 36 + 1) {
var groupSize = 0;
var groupBase = 1;
while (groupBase < (1 << BN.wordSize) / base) {
groupBase *= base;
groupSize += 1;
}
groupSizes[base] = groupSize;
groupBases[base] = groupBase;
}
*/
var zeros = [
'',
'0',
'00',
'000',
'0000',
'00000',
'000000',
'0000000',
'00000000',
'000000000',
'0000000000',
'00000000000',
'000000000000',
'0000000000000',
'00000000000000',
'000000000000000',
'0000000000000000',
'00000000000000000',
'000000000000000000',
'0000000000000000000',
'00000000000000000000',
'000000000000000000000',
'0000000000000000000000',
'00000000000000000000000',
'000000000000000000000000',
'0000000000000000000000000'
];
var groupSizes = [
0, 0,
25, 16, 12, 11, 10, 9, 8,
8, 7, 7, 7, 7, 6, 6,
6, 6, 6, 6, 6, 5, 5,
5, 5, 5, 5, 5, 5, 5,
5, 5, 5, 5, 5, 5, 5
];
var groupBases = [
0, 0,
33554432, 43046721, 16777216, 48828125, 60466176, 40353607, 16777216,
43046721, 10000000, 19487171, 35831808, 62748517, 7529536, 11390625,
16777216, 24137569, 34012224, 47045881, 64000000, 4084101, 5153632,
6436343, 7962624, 9765625, 11881376, 14348907, 17210368, 20511149,
24300000, 28629151, 33554432, 39135393, 45435424, 52521875, 60466176
];
BN.prototype.toString = function toString (base, padding) {
base = base || 10;
padding = padding | 0 || 1;
var out;
if (base === 16 || base === 'hex') {
out = '';
var off = 0;
var carry = 0;
for (var i = 0; i < this.length; i++) {
var w = this.words[i];
var word = (((w << off) | carry) & 0xffffff).toString(16);
carry = (w >>> (24 - off)) & 0xffffff;
if (carry !== 0 || i !== this.length - 1) {
out = zeros[6 - word.length] + word + out;
} else {
out = word + out;
}
off += 2;
if (off >= 26) {
off -= 26;
i--;
}
}
if (carry !== 0) {
out = carry.toString(16) + out;
}
while (out.length % padding !== 0) {
out = '0' + out;
}
if (this.negative !== 0) {
out = '-' + out;
}
return out;
}
if (base === (base | 0) && base >= 2 && base <= 36) {
// var groupSize = Math.floor(BN.wordSize * Math.LN2 / Math.log(base));
var groupSize = groupSizes[base];
// var groupBase = Math.pow(base, groupSize);
var groupBase = groupBases[base];
out = '';
var c = this.clone();
c.negative = 0;
while (!c.isZero()) {
var r = c.modn(groupBase).toString(base);
c = c.idivn(groupBase);
if (!c.isZero()) {
out = zeros[groupSize - r.length] + r + out;
} else {
out = r + out;
}
}
if (this.isZero()) {
out = '0' + out;
}
while (out.length % padding !== 0) {
out = '0' + out;
}
if (this.negative !== 0) {
out = '-' + out;
}
return out;
}
assert(false, 'Base should be between 2 and 36');
};
BN.prototype.toNumber = function toNumber () {
var ret = this.words[0];
if (this.length === 2) {
ret += this.words[1] * 0x4000000;
} else if (this.length === 3 && this.words[2] === 0x01) {
// NOTE: at this stage it is known that the top bit is set
ret += 0x10000000000000 + (this.words[1] * 0x4000000);
} else if (this.length > 2) {
assert(false, 'Number can only safely store up to 53 bits');
}
return (this.negative !== 0) ? -ret : ret;
};
BN.prototype.toJSON = function toJSON () {
return this.toString(16);
};
BN.prototype.toBuffer = function toBuffer (endian, length) {
assert(typeof Buffer !== 'undefined');
return this.toArrayLike(Buffer, endian, length);
};
BN.prototype.toArray = function toArray (endian, length) {
return this.toArrayLike(Array, endian, length);
};
BN.prototype.toArrayLike = function toArrayLike (ArrayType, endian, length) {
var byteLength = this.byteLength();
var reqLength = length || Math.max(1, byteLength);
assert(byteLength <= reqLength, 'byte array longer than desired length');
assert(reqLength > 0, 'Requested array length <= 0');
this.strip();
var littleEndian = endian === 'le';
var res = new ArrayType(reqLength);
var b, i;
var q = this.clone();
if (!littleEndian) {
// Assume big-endian
for (i = 0; i < reqLength - byteLength; i++) {
res[i] = 0;
}
for (i = 0; !q.isZero(); i++) {
b = q.andln(0xff);
q.iushrn(8);
res[reqLength - i - 1] = b;
}
} else {
for (i = 0; !q.isZero(); i++) {
b = q.andln(0xff);
q.iushrn(8);
res[i] = b;
}
for (; i < reqLength; i++) {
res[i] = 0;
}
}
return res;
};
if (Math.clz32) {
BN.prototype._countBits = function _countBits (w) {
return 32 - Math.clz32(w);
};
} else {
BN.prototype._countBits = function _countBits (w) {
var t = w;
var r = 0;
if (t >= 0x1000) {
r += 13;
t >>>= 13;
}
if (t >= 0x40) {
r += 7;
t >>>= 7;
}
if (t >= 0x8) {
r += 4;
t >>>= 4;
}
if (t >= 0x02) {
r += 2;
t >>>= 2;
}
return r + t;
};
}
BN.prototype._zeroBits = function _zeroBits (w) {
// Short-cut
if (w === 0) return 26;
var t = w;
var r = 0;
if ((t & 0x1fff) === 0) {
r += 13;
t >>>= 13;
}
if ((t & 0x7f) === 0) {
r += 7;
t >>>= 7;
}
if ((t & 0xf) === 0) {
r += 4;
t >>>= 4;
}
if ((t & 0x3) === 0) {
r += 2;
t >>>= 2;
}
if ((t & 0x1) === 0) {
r++;
}
return r;
};
// Return number of used bits in a BN
BN.prototype.bitLength = function bitLength () {
var w = this.words[this.length - 1];
var hi = this._countBits(w);
return (this.length - 1) * 26 + hi;
};
function toBitArray (num) {
var w = new Array(num.bitLength());
for (var bit = 0; bit < w.length; bit++) {
var off = (bit / 26) | 0;
var wbit = bit % 26;
w[bit] = (num.words[off] & (1 << wbit)) >>> wbit;
}
return w;
}
// Number of trailing zero bits
BN.prototype.zeroBits = function zeroBits () {
if (this.isZero()) return 0;
var r = 0;
for (var i = 0; i < this.length; i++) {
var b = this._zeroBits(this.words[i]);
r += b;
if (b !== 26) break;
}
return r;
};
BN.prototype.byteLength = function byteLength () {
return Math.ceil(this.bitLength() / 8);
};
BN.prototype.toTwos = function toTwos (width) {
if (this.negative !== 0) {
return this.abs().inotn(width).iaddn(1);
}
return this.clone();
};
BN.prototype.fromTwos = function fromTwos (width) {
if (this.testn(width - 1)) {
return this.notn(width).iaddn(1).ineg();
}
return this.clone();
};
BN.prototype.isNeg = function isNeg () {
return this.negative !== 0;
};
// Return negative clone of `this`
BN.prototype.neg = function neg () {
return this.clone().ineg();
};
BN.prototype.ineg = function ineg () {
if (!this.isZero()) {
this.negative ^= 1;
}
return this;
};
// Or `num` with `this` in-place
BN.prototype.iuor = function iuor (num) {
while (this.length < num.length) {
this.words[this.length++] = 0;
}
for (var i = 0; i < num.length; i++) {
this.words[i] = this.words[i] | num.words[i];
}
return this.strip();
};
BN.prototype.ior = function ior (num) {
assert((this.negative | num.negative) === 0);
return this.iuor(num);
};
// Or `num` with `this`
BN.prototype.or = function or (num) {
if (this.length > num.length) return this.clone().ior(num);
return num.clone().ior(this);
};
BN.prototype.uor = function uor (num) {
if (this.length > num.length) return this.clone().iuor(num);
return num.clone().iuor(this);
};
// And `num` with `this` in-place
BN.prototype.iuand = function iuand (num) {
// b = min-length(num, this)
var b;
if (this.length > num.length) {
b = num;
} else {
b = this;
}
for (var i = 0; i < b.length; i++) {
this.words[i] = this.words[i] & num.words[i];
}
this.length = b.length;
return this.strip();
};
BN.prototype.iand = function iand (num) {
assert((this.negative | num.negative) === 0);
return this.iuand(num);
};
// And `num` with `this`
BN.prototype.and = function and (num) {
if (this.length > num.length) return this.clone().iand(num);
return num.clone().iand(this);
};
BN.prototype.uand = function uand (num) {
if (this.length > num.length) return this.clone().iuand(num);
return num.clone().iuand(this);
};
// Xor `num` with `this` in-place
BN.prototype.iuxor = function iuxor (num) {
// a.length > b.length
var a;
var b;
if (this.length > num.length) {
a = this;
b = num;
} else {
a = num;
b = this;
}
for (var i = 0; i < b.length; i++) {
this.words[i] = a.words[i] ^ b.words[i];
}
if (this !== a) {
for (; i < a.length; i++) {
this.words[i] = a.words[i];
}
}
this.length = a.length;
return this.strip();
};
BN.prototype.ixor = function ixor (num) {
assert((this.negative | num.negative) === 0);
return this.iuxor(num);
};
// Xor `num` with `this`
BN.prototype.xor = function xor (num) {
if (this.length > num.length) return this.clone().ixor(num);
return num.clone().ixor(this);
};
BN.prototype.uxor = function uxor (num) {
if (this.length > num.length) return this.clone().iuxor(num);
return num.clone().iuxor(this);
};
// Not ``this`` with ``width`` bitwidth
BN.prototype.inotn = function inotn (width) {
assert(typeof width === 'number' && width >= 0);
var bytesNeeded = Math.ceil(width / 26) | 0;
var bitsLeft = width % 26;
// Extend the buffer with leading zeroes
this._expand(bytesNeeded);
if (bitsLeft > 0) {
bytesNeeded--;
}
// Handle complete words
for (var i = 0; i < bytesNeeded; i++) {
this.words[i] = ~this.words[i] & 0x3ffffff;
}
// Handle the residue
if (bitsLeft > 0) {
this.words[i] = ~this.words[i] & (0x3ffffff >> (26 - bitsLeft));
}
// And remove leading zeroes
return this.strip();
};
BN.prototype.notn = function notn (width) {
return this.clone().inotn(width);
};
// Set `bit` of `this`
BN.prototype.setn = function setn (bit, val) {
assert(typeof bit === 'number' && bit >= 0);
var off = (bit / 26) | 0;
var wbit = bit % 26;
this._expand(off + 1);
if (val) {
this.words[off] = this.words[off] | (1 << wbit);
} else {
this.words[off] = this.words[off] & ~(1 << wbit);
}
return this.strip();
};
// Add `num` to `this` in-place
BN.prototype.iadd = function iadd (num) {
var r;
// negative + positive
if (this.negative !== 0 && num.negative === 0) {
this.negative = 0;
r = this.isub(num);
this.negative ^= 1;
return this._normSign();
// positive + negative
} else if (this.negative === 0 && num.negative !== 0) {
num.negative = 0;
r = this.isub(num);
num.negative = 1;
return r._normSign();
}
// a.length > b.length
var a, b;
if (this.length > num.length) {
a = this;
b = num;
} else {
a = num;
b = this;
}
var carry = 0;
for (var i = 0; i < b.length; i++) {
r = (a.words[i] | 0) + (b.words[i] | 0) + carry;
this.words[i] = r & 0x3ffffff;
carry = r >>> 26;
}
for (; carry !== 0 && i < a.length; i++) {
r = (a.words[i] | 0) + carry;
this.words[i] = r & 0x3ffffff;
carry = r >>> 26;
}
this.length = a.length;
if (carry !== 0) {
this.words[this.length] = carry;
this.length++;
// Copy the rest of the words
} else if (a !== this) {
for (; i < a.length; i++) {
this.words[i] = a.words[i];
}
}
return this;
};
// Add `num` to `this`
BN.prototype.add = function add (num) {
var res;
if (num.negative !== 0 && this.negative === 0) {
num.negative = 0;
res = this.sub(num);
num.negative ^= 1;
return res;
} else if (num.negative === 0 && this.negative !== 0) {
this.negative = 0;
res = num.sub(this);
this.negative = 1;
return res;
}
if (this.length > num.length) return this.clone().iadd(num);
return num.clone().iadd(this);
};
// Subtract `num` from `this` in-place
BN.prototype.isub = function isub (num) {
// this - (-num) = this + num
if (num.negative !== 0) {
num.negative = 0;
var r = this.iadd(num);
num.negative = 1;
return r._normSign();
// -this - num = -(this + num)
} else if (this.negative !== 0) {
this.negative = 0;
this.iadd(num);
this.negative = 1;
return this._normSign();
}
// At this point both numbers are positive
var cmp = this.cmp(num);
// Optimization - zeroify
if (cmp === 0) {
this.negative = 0;
this.length = 1;
this.words[0] = 0;
return this;
}
// a > b
var a, b;
if (cmp > 0) {
a = this;
b = num;
} else {
a = num;
b = this;
}
var carry = 0;
for (var i = 0; i < b.length; i++) {
r = (a.words[i] | 0) - (b.words[i] | 0) + carry;
carry = r >> 26;
this.words[i] = r & 0x3ffffff;
}
for (; carry !== 0 && i < a.length; i++) {
r = (a.words[i] | 0) + carry;
carry = r >> 26;
this.words[i] = r & 0x3ffffff;
}
// Copy rest of the words
if (carry === 0 && i < a.length && a !== this) {
for (; i < a.length; i++) {
this.words[i] = a.words[i];
}
}
this.length = Math.max(this.length, i);
if (a !== this) {
this.negative = 1;
}
return this.strip();
};
// Subtract `num` from `this`
BN.prototype.sub = function sub (num) {
return this.clone().isub(num);
};
function smallMulTo (self, num, out) {
out.negative = num.negative ^ self.negative;
var len = (self.length + num.length) | 0;
out.length = len;
len = (len - 1) | 0;
// Peel one iteration (compiler can't do it, because of code complexity)
var a = self.words[0] | 0;
var b = num.words[0] | 0;
var r = a * b;
var lo = r & 0x3ffffff;
var carry = (r / 0x4000000) | 0;
out.words[0] = lo;
for (var k = 1; k < len; k++) {
// Sum all words with the same `i + j = k` and accumulate `ncarry`,
// note that ncarry could be >= 0x3ffffff
var ncarry = carry >>> 26;
var rword = carry & 0x3ffffff;
var maxJ = Math.min(k, num.length - 1);
for (var j = Math.max(0, k - self.length + 1); j <= maxJ; j++) {
var i = (k - j) | 0;
a = self.words[i] | 0;
b = num.words[j] | 0;
r = a * b + rword;
ncarry += (r / 0x4000000) | 0;
rword = r & 0x3ffffff;
}
out.words[k] = rword | 0;
carry = ncarry | 0;
}
if (carry !== 0) {
out.words[k] = carry | 0;
} else {
out.length--;
}
return out.strip();
}
// TODO(indutny): it may be reasonable to omit it for users who don't need
// to work with 256-bit numbers, otherwise it gives 20% improvement for 256-bit
// multiplication (like elliptic secp256k1).
var comb10MulTo = function comb10MulTo (self, num, out) {
var a = self.words;
var b = num.words;
var o = out.words;
var c = 0;
var lo;
var mid;
var hi;
var a0 = a[0] | 0;
var al0 = a0 & 0x1fff;
var ah0 = a0 >>> 13;
var a1 = a[1] | 0;
var al1 = a1 & 0x1fff;
var ah1 = a1 >>> 13;
var a2 = a[2] | 0;
var al2 = a2 & 0x1fff;
var ah2 = a2 >>> 13;
var a3 = a[3] | 0;
var al3 = a3 & 0x1fff;
var ah3 = a3 >>> 13;
var a4 = a[4] | 0;
var al4 = a4 & 0x1fff;
var ah4 = a4 >>> 13;
var a5 = a[5] | 0;
var al5 = a5 & 0x1fff;
var ah5 = a5 >>> 13;
var a6 = a[6] | 0;
var al6 = a6 & 0x1fff;
var ah6 = a6 >>> 13;
var a7 = a[7] | 0;
var al7 = a7 & 0x1fff;
var ah7 = a7 >>> 13;
var a8 = a[8] | 0;
var al8 = a8 & 0x1fff;
var ah8 = a8 >>> 13;
var a9 = a[9] | 0;
var al9 = a9 & 0x1fff;
var ah9 = a9 >>> 13;
var b0 = b[0] | 0;
var bl0 = b0 & 0x1fff;
var bh0 = b0 >>> 13;
var b1 = b[1] | 0;
var bl1 = b1 & 0x1fff;
var bh1 = b1 >>> 13;
var b2 = b[2] | 0;
var bl2 = b2 & 0x1fff;
var bh2 = b2 >>> 13;
var b3 = b[3] | 0;
var bl3 = b3 & 0x1fff;
var bh3 = b3 >>> 13;
var b4 = b[4] | 0;
var bl4 = b4 & 0x1fff;
var bh4 = b4 >>> 13;
var b5 = b[5] | 0;
var bl5 = b5 & 0x1fff;
var bh5 = b5 >>> 13;
var b6 = b[6] | 0;
var bl6 = b6 & 0x1fff;
var bh6 = b6 >>> 13;
var b7 = b[7] | 0;
var bl7 = b7 & 0x1fff;
var bh7 = b7 >>> 13;
var b8 = b[8] | 0;
var bl8 = b8 & 0x1fff;
var bh8 = b8 >>> 13;
var b9 = b[9] | 0;
var bl9 = b9 & 0x1fff;
var bh9 = b9 >>> 13;
out.negative = self.negative ^ num.negative;
out.length = 19;
/* k = 0 */
lo = Math.imul(al0, bl0);
mid = Math.imul(al0, bh0);
mid = (mid + Math.imul(ah0, bl0)) | 0;
hi = Math.imul(ah0, bh0);
var w0 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
c = (((hi + (mid >>> 13)) | 0) + (w0 >>> 26)) | 0;
w0 &= 0x3ffffff;
/* k = 1 */
lo = Math.imul(al1, bl0);
mid = Math.imul(al1, bh0);
mid = (mid + Math.imul(ah1, bl0)) | 0;
hi = Math.imul(ah1, bh0);
lo = (lo + Math.imul(al0, bl1)) | 0;
mid = (mid + Math.imul(al0, bh1)) | 0;
mid = (mid + Math.imul(ah0, bl1)) | 0;
hi = (hi + Math.imul(ah0, bh1)) | 0;
var w1 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
c = (((hi + (mid >>> 13)) | 0) + (w1 >>> 26)) | 0;
w1 &= 0x3ffffff;
/* k = 2 */
lo = Math.imul(al2, bl0);
mid = Math.imul(al2, bh0);
mid = (mid + Math.imul(ah2, bl0)) | 0;
hi = Math.imul(ah2, bh0);
lo = (lo + Math.imul(al1, bl1)) | 0;
mid = (mid + Math.imul(al1, bh1)) | 0;
mid = (mid + Math.imul(ah1, bl1)) | 0;
hi = (hi + Math.imul(ah1, bh1)) | 0;
lo = (lo + Math.imul(al0, bl2)) | 0;
mid = (mid + Math.imul(al0, bh2)) | 0;
mid = (mid + Math.imul(ah0, bl2)) | 0;
hi = (hi + Math.imul(ah0, bh2)) | 0;
var w2 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
c = (((hi + (mid >>> 13)) | 0) + (w2 >>> 26)) | 0;
w2 &= 0x3ffffff;
/* k = 3 */
lo = Math.imul(al3, bl0);
mid = Math.imul(al3, bh0);
mid = (mid + Math.imul(ah3, bl0)) | 0;
hi = Math.imul(ah3, bh0);
lo = (lo + Math.imul(al2, bl1)) | 0;
mid = (mid + Math.imul(al2, bh1)) | 0;
mid = (mid + Math.imul(ah2, bl1)) | 0;
hi = (hi + Math.imul(ah2, bh1)) | 0;
lo = (lo + Math.imul(al1, bl2)) | 0;
mid = (mid + Math.imul(al1, bh2)) | 0;
mid = (mid + Math.imul(ah1, bl2)) | 0;
hi = (hi + Math.imul(ah1, bh2)) | 0;
lo = (lo + Math.imul(al0, bl3)) | 0;
mid = (mid + Math.imul(al0, bh3)) | 0;
mid = (mid + Math.imul(ah0, bl3)) | 0;
hi = (hi + Math.imul(ah0, bh3)) | 0;
var w3 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
c = (((hi + (mid >>> 13)) | 0) + (w3 >>> 26)) | 0;
w3 &= 0x3ffffff;
/* k = 4 */
lo = Math.imul(al4, bl0);
mid = Math.imul(al4, bh0);
mid = (mid + Math.imul(ah4, bl0)) | 0;
hi = Math.imul(ah4, bh0);
lo = (lo + Math.imul(al3, bl1)) | 0;
mid = (mid + Math.imul(al3, bh1)) | 0;
mid = (mid + Math.imul(ah3, bl1)) | 0;
hi = (hi + Math.imul(ah3, bh1)) | 0;
lo = (lo + Math.imul(al2, bl2)) | 0;
mid = (mid + Math.imul(al2, bh2)) | 0;
mid = (mid + Math.imul(ah2, bl2)) | 0;
hi = (hi + Math.imul(ah2, bh2)) | 0;
lo = (lo + Math.imul(al1, bl3)) | 0;
mid = (mid + Math.imul(al1, bh3)) | 0;
mid = (mid + Math.imul(ah1, bl3)) | 0;
hi = (hi + Math.imul(ah1, bh3)) | 0;
lo = (lo + Math.imul(al0, bl4)) | 0;
mid = (mid + Math.imul(al0, bh4)) | 0;
mid = (mid + Math.imul(ah0, bl4)) | 0;
hi = (hi + Math.imul(ah0, bh4)) | 0;
var w4 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
c = (((hi + (mid >>> 13)) | 0) + (w4 >>> 26)) | 0;
w4 &= 0x3ffffff;
/* k = 5 */
lo = Math.imul(al5, bl0);
mid = Math.imul(al5, bh0);
mid = (mid + Math.imul(ah5, bl0)) | 0;
hi = Math.imul(ah5, bh0);
lo = (lo + Math.imul(al4, bl1)) | 0;
mid = (mid + Math.imul(al4, bh1)) | 0;
mid = (mid + Math.imul(ah4, bl1)) | 0;
hi = (hi + Math.imul(ah4, bh1)) | 0;
lo = (lo + Math.imul(al3, bl2)) | 0;
mid = (mid + Math.imul(al3, bh2)) | 0;
mid = (mid + Math.imul(ah3, bl2)) | 0;
hi = (hi + Math.imul(ah3, bh2)) | 0;
lo = (lo + Math.imul(al2, bl3)) | 0;
mid = (mid + Math.imul(al2, bh3)) | 0;
mid = (mid + Math.imul(ah2, bl3)) | 0;
hi = (hi + Math.imul(ah2, bh3)) | 0;
lo = (lo + Math.imul(al1, bl4)) | 0;
mid = (mid + Math.imul(al1, bh4)) | 0;
mid = (mid + Math.imul(ah1, bl4)) | 0;
hi = (hi + Math.imul(ah1, bh4)) | 0;
lo = (lo + Math.imul(al0, bl5)) | 0;
mid = (mid + Math.imul(al0, bh5)) | 0;
mid = (mid + Math.imul(ah0, bl5)) | 0;
hi = (hi + Math.imul(ah0, bh5)) | 0;
var w5 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
c = (((hi + (mid >>> 13)) | 0) + (w5 >>> 26)) | 0;
w5 &= 0x3ffffff;
/* k = 6 */
lo = Math.imul(al6, bl0);
mid = Math.imul(al6, bh0);
mid = (mid + Math.imul(ah6, bl0)) | 0;
hi = Math.imul(ah6, bh0);
lo = (lo + Math.imul(al5, bl1)) | 0;
mid = (mid + Math.imul(al5, bh1)) | 0;
mid = (mid + Math.imul(ah5, bl1)) | 0;
hi = (hi + Math.imul(ah5, bh1)) | 0;
lo = (lo + Math.imul(al4, bl2)) | 0;
mid = (mid + Math.imul(al4, bh2)) | 0;
mid = (mid + Math.imul(ah4, bl2)) | 0;
hi = (hi + Math.imul(ah4, bh2)) | 0;
lo = (lo + Math.imul(al3, bl3)) | 0;
mid = (mid + Math.imul(al3, bh3)) | 0;
mid = (mid + Math.imul(ah3, bl3)) | 0;
hi = (hi + Math.imul(ah3, bh3)) | 0;
lo = (lo + Math.imul(al2, bl4)) | 0;
mid = (mid + Math.imul(al2, bh4)) | 0;
mid = (mid + Math.imul(ah2, bl4)) | 0;
hi = (hi + Math.imul(ah2, bh4)) | 0;
lo = (lo + Math.imul(al1, bl5)) | 0;
mid = (mid + Math.imul(al1, bh5)) | 0;
mid = (mid + Math.imul(ah1, bl5)) | 0;
hi = (hi + Math.imul(ah1, bh5)) | 0;
lo = (lo + Math.imul(al0, bl6)) | 0;
mid = (mid + Math.imul(al0, bh6)) | 0;
mid = (mid + Math.imul(ah0, bl6)) | 0;
hi = (hi + Math.imul(ah0, bh6)) | 0;
var w6 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
c = (((hi + (mid >>> 13)) | 0) + (w6 >>> 26)) | 0;
w6 &= 0x3ffffff;
/* k = 7 */
lo = Math.imul(al7, bl0);
mid = Math.imul(al7, bh0);
mid = (mid + Math.imul(ah7, bl0)) | 0;
hi = Math.imul(ah7, bh0);
lo = (lo + Math.imul(al6, bl1)) | 0;
mid = (mid + Math.imul(al6, bh1)) | 0;
mid = (mid + Math.imul(ah6, bl1)) | 0;
hi = (hi + Math.imul(ah6, bh1)) | 0;
lo = (lo + Math.imul(al5, bl2)) | 0;
mid = (mid + Math.imul(al5, bh2)) | 0;
mid = (mid + Math.imul(ah5, bl2)) | 0;
hi = (hi + Math.imul(ah5, bh2)) | 0;
lo = (lo + Math.imul(al4, bl3)) | 0;
mid = (mid + Math.imul(al4, bh3)) | 0;
mid = (mid + Math.imul(ah4, bl3)) | 0;
hi = (hi + Math.imul(ah4, bh3)) | 0;
lo = (lo + Math.imul(al3, bl4)) | 0;
mid = (mid + Math.imul(al3, bh4)) | 0;
mid = (mid + Math.imul(ah3, bl4)) | 0;
hi = (hi + Math.imul(ah3, bh4)) | 0;
lo = (lo + Math.imul(al2, bl5)) | 0;
mid = (mid + Math.imul(al2, bh5)) | 0;
mid = (mid + Math.imul(ah2, bl5)) | 0;
hi = (hi + Math.imul(ah2, bh5)) | 0;
lo = (lo + Math.imul(al1, bl6)) | 0;
mid = (mid + Math.imul(al1, bh6)) | 0;
mid = (mid + Math.imul(ah1, bl6)) | 0;
hi = (hi + Math.imul(ah1, bh6)) | 0;
lo = (lo + Math.imul(al0, bl7)) | 0;
mid = (mid + Math.imul(al0, bh7)) | 0;
mid = (mid + Math.imul(ah0, bl7)) | 0;
hi = (hi + Math.imul(ah0, bh7)) | 0;
var w7 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
c = (((hi + (mid >>> 13)) | 0) + (w7 >>> 26)) | 0;
w7 &= 0x3ffffff;
/* k = 8 */
lo = Math.imul(al8, bl0);
mid = Math.imul(al8, bh0);
mid = (mid + Math.imul(ah8, bl0)) | 0;
hi = Math.imul(ah8, bh0);
lo = (lo + Math.imul(al7, bl1)) | 0;
mid = (mid + Math.imul(al7, bh1)) | 0;
mid = (mid + Math.imul(ah7, bl1)) | 0;
hi = (hi + Math.imul(ah7, bh1)) | 0;
lo = (lo + Math.imul(al6, bl2)) | 0;
mid = (mid + Math.imul(al6, bh2)) | 0;
mid = (mid + Math.imul(ah6, bl2)) | 0;
hi = (hi + Math.imul(ah6, bh2)) | 0;
lo = (lo + Math.imul(al5, bl3)) | 0;
mid = (mid + Math.imul(al5, bh3)) | 0;
mid = (mid + Math.imul(ah5, bl3)) | 0;
hi = (hi + Math.imul(ah5, bh3)) | 0;
lo = (lo + Math.imul(al4, bl4)) | 0;
mid = (mid + Math.imul(al4, bh4)) | 0;
mid = (mid + Math.imul(ah4, bl4)) | 0;
hi = (hi + Math.imul(ah4, bh4)) | 0;
lo = (lo + Math.imul(al3, bl5)) | 0;
mid = (mid + Math.imul(al3, bh5)) | 0;
mid = (mid + Math.imul(ah3, bl5)) | 0;
hi = (hi + Math.imul(ah3, bh5)) | 0;
lo = (lo + Math.imul(al2, bl6)) | 0;
mid = (mid + Math.imul(al2, bh6)) | 0;
mid = (mid + Math.imul(ah2, bl6)) | 0;
hi = (hi + Math.imul(ah2, bh6)) | 0;
lo = (lo + Math.imul(al1, bl7)) | 0;
mid = (mid + Math.imul(al1, bh7)) | 0;
mid = (mid + Math.imul(ah1, bl7)) | 0;
hi = (hi + Math.imul(ah1, bh7)) | 0;
lo = (lo + Math.imul(al0, bl8)) | 0;
mid = (mid + Math.imul(al0, bh8)) | 0;
mid = (mid + Math.imul(ah0, bl8)) | 0;
hi = (hi + Math.imul(ah0, bh8)) | 0;
var w8 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
c = (((hi + (mid >>> 13)) | 0) + (w8 >>> 26)) | 0;
w8 &= 0x3ffffff;
/* k = 9 */
lo = Math.imul(al9, bl0);
mid = Math.imul(al9, bh0);
mid = (mid + Math.imul(ah9, bl0)) | 0;
hi = Math.imul(ah9, bh0);
lo = (lo + Math.imul(al8, bl1)) | 0;
mid = (mid + Math.imul(al8, bh1)) | 0;
mid = (mid + Math.imul(ah8, bl1)) | 0;
hi = (hi + Math.imul(ah8, bh1)) | 0;
lo = (lo + Math.imul(al7, bl2)) | 0;
mid = (mid + Math.imul(al7, bh2)) | 0;
mid = (mid + Math.imul(ah7, bl2)) | 0;
hi = (hi + Math.imul(ah7, bh2)) | 0;
lo = (lo + Math.imul(al6, bl3)) | 0;
mid = (mid + Math.imul(al6, bh3)) | 0;
mid = (mid + Math.imul(ah6, bl3)) | 0;
hi = (hi + Math.imul(ah6, bh3)) | 0;
lo = (lo + Math.imul(al5, bl4)) | 0;
mid = (mid + Math.imul(al5, bh4)) | 0;
mid = (mid + Math.imul(ah5, bl4)) | 0;
hi = (hi + Math.imul(ah5, bh4)) | 0;
lo = (lo + Math.imul(al4, bl5)) | 0;
mid = (mid + Math.imul(al4, bh5)) | 0;
mid = (mid + Math.imul(ah4, bl5)) | 0;
hi = (hi + Math.imul(ah4, bh5)) | 0;
lo = (lo + Math.imul(al3, bl6)) | 0;
mid = (mid + Math.imul(al3, bh6)) | 0;
mid = (mid + Math.imul(ah3, bl6)) | 0;
hi = (hi + Math.imul(ah3, bh6)) | 0;
lo = (lo + Math.imul(al2, bl7)) | 0;
mid = (mid + Math.imul(al2, bh7)) | 0;
mid = (mid + Math.imul(ah2, bl7)) | 0;
hi = (hi + Math.imul(ah2, bh7)) | 0;
lo = (lo + Math.imul(al1, bl8)) | 0;
mid = (mid + Math.imul(al1, bh8)) | 0;
mid = (mid + Math.imul(ah1, bl8)) | 0;
hi = (hi + Math.imul(ah1, bh8)) | 0;
lo = (lo + Math.imul(al0, bl9)) | 0;
mid = (mid + Math.imul(al0, bh9)) | 0;
mid = (mid + Math.imul(ah0, bl9)) | 0;
hi = (hi + Math.imul(ah0, bh9)) | 0;
var w9 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
c = (((hi + (mid >>> 13)) | 0) + (w9 >>> 26)) | 0;
w9 &= 0x3ffffff;
/* k = 10 */
lo = Math.imul(al9, bl1);
mid = Math.imul(al9, bh1);
mid = (mid + Math.imul(ah9, bl1)) | 0;
hi = Math.imul(ah9, bh1);
lo = (lo + Math.imul(al8, bl2)) | 0;
mid = (mid + Math.imul(al8, bh2)) | 0;
mid = (mid + Math.imul(ah8, bl2)) | 0;
hi = (hi + Math.imul(ah8, bh2)) | 0;
lo = (lo + Math.imul(al7, bl3)) | 0;
mid = (mid + Math.imul(al7, bh3)) | 0;
mid = (mid + Math.imul(ah7, bl3)) | 0;
hi = (hi + Math.imul(ah7, bh3)) | 0;
lo = (lo + Math.imul(al6, bl4)) | 0;
mid = (mid + Math.imul(al6, bh4)) | 0;
mid = (mid + Math.imul(ah6, bl4)) | 0;
hi = (hi + Math.imul(ah6, bh4)) | 0;
lo = (lo + Math.imul(al5, bl5)) | 0;
mid = (mid + Math.imul(al5, bh5)) | 0;
mid = (mid + Math.imul(ah5, bl5)) | 0;
hi = (hi + Math.imul(ah5, bh5)) | 0;
lo = (lo + Math.imul(al4, bl6)) | 0;
mid = (mid + Math.imul(al4, bh6)) | 0;
mid = (mid + Math.imul(ah4, bl6)) | 0;
hi = (hi + Math.imul(ah4, bh6)) | 0;
lo = (lo + Math.imul(al3, bl7)) | 0;
mid = (mid + Math.imul(al3, bh7)) | 0;
mid = (mid + Math.imul(ah3, bl7)) | 0;
hi = (hi + Math.imul(ah3, bh7)) | 0;
lo = (lo + Math.imul(al2, bl8)) | 0;
mid = (mid + Math.imul(al2, bh8)) | 0;
mid = (mid + Math.imul(ah2, bl8)) | 0;
hi = (hi + Math.imul(ah2, bh8)) | 0;
lo = (lo + Math.imul(al1, bl9)) | 0;
mid = (mid + Math.imul(al1, bh9)) | 0;
mid = (mid + Math.imul(ah1, bl9)) | 0;
hi = (hi + Math.imul(ah1, bh9)) | 0;
var w10 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
c = (((hi + (mid >>> 13)) | 0) + (w10 >>> 26)) | 0;
w10 &= 0x3ffffff;
/* k = 11 */
lo = Math.imul(al9, bl2);
mid = Math.imul(al9, bh2);
mid = (mid + Math.imul(ah9, bl2)) | 0;
hi = Math.imul(ah9, bh2);
lo = (lo + Math.imul(al8, bl3)) | 0;
mid = (mid + Math.imul(al8, bh3)) | 0;
mid = (mid + Math.imul(ah8, bl3)) | 0;
hi = (hi + Math.imul(ah8, bh3)) | 0;
lo = (lo + Math.imul(al7, bl4)) | 0;
mid = (mid + Math.imul(al7, bh4)) | 0;
mid = (mid + Math.imul(ah7, bl4)) | 0;
hi = (hi + Math.imul(ah7, bh4)) | 0;
lo = (lo + Math.imul(al6, bl5)) | 0;
mid = (mid + Math.imul(al6, bh5)) | 0;
mid = (mid + Math.imul(ah6, bl5)) | 0;
hi = (hi + Math.imul(ah6, bh5)) | 0;
lo = (lo + Math.imul(al5, bl6)) | 0;
mid = (mid + Math.imul(al5, bh6)) | 0;
mid = (mid + Math.imul(ah5, bl6)) | 0;
hi = (hi + Math.imul(ah5, bh6)) | 0;
lo = (lo + Math.imul(al4, bl7)) | 0;
mid = (mid + Math.imul(al4, bh7)) | 0;
mid = (mid + Math.imul(ah4, bl7)) | 0;
hi = (hi + Math.imul(ah4, bh7)) | 0;
lo = (lo + Math.imul(al3, bl8)) | 0;
mid = (mid + Math.imul(al3, bh8)) | 0;
mid = (mid + Math.imul(ah3, bl8)) | 0;
hi = (hi + Math.imul(ah3, bh8)) | 0;
lo = (lo + Math.imul(al2, bl9)) | 0;
mid = (mid + Math.imul(al2, bh9)) | 0;
mid = (mid + Math.imul(ah2, bl9)) | 0;
hi = (hi + Math.imul(ah2, bh9)) | 0;
var w11 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
c = (((hi + (mid >>> 13)) | 0) + (w11 >>> 26)) | 0;
w11 &= 0x3ffffff;
/* k = 12 */
lo = Math.imul(al9, bl3);
mid = Math.imul(al9, bh3);
mid = (mid + Math.imul(ah9, bl3)) | 0;
hi = Math.imul(ah9, bh3);
lo = (lo + Math.imul(al8, bl4)) | 0;
mid = (mid + Math.imul(al8, bh4)) | 0;
mid = (mid + Math.imul(ah8, bl4)) | 0;
hi = (hi + Math.imul(ah8, bh4)) | 0;
lo = (lo + Math.imul(al7, bl5)) | 0;
mid = (mid + Math.imul(al7, bh5)) | 0;
mid = (mid + Math.imul(ah7, bl5)) | 0;
hi = (hi + Math.imul(ah7, bh5)) | 0;
lo = (lo + Math.imul(al6, bl6)) | 0;
mid = (mid + Math.imul(al6, bh6)) | 0;
mid = (mid + Math.imul(ah6, bl6)) | 0;
hi = (hi + Math.imul(ah6, bh6)) | 0;
lo = (lo + Math.imul(al5, bl7)) | 0;
mid = (mid + Math.imul(al5, bh7)) | 0;
mid = (mid + Math.imul(ah5, bl7)) | 0;
hi = (hi + Math.imul(ah5, bh7)) | 0;
lo = (lo + Math.imul(al4, bl8)) | 0;
mid = (mid + Math.imul(al4, bh8)) | 0;
mid = (mid + Math.imul(ah4, bl8)) | 0;
hi = (hi + Math.imul(ah4, bh8)) | 0;
lo = (lo + Math.imul(al3, bl9)) | 0;
mid = (mid + Math.imul(al3, bh9)) | 0;
mid = (mid + Math.imul(ah3, bl9)) | 0;
hi = (hi + Math.imul(ah3, bh9)) | 0;
var w12 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
c = (((hi + (mid >>> 13)) | 0) + (w12 >>> 26)) | 0;
w12 &= 0x3ffffff;
/* k = 13 */
lo = Math.imul(al9, bl4);
mid = Math.imul(al9, bh4);
mid = (mid + Math.imul(ah9, bl4)) | 0;
hi = Math.imul(ah9, bh4);
lo = (lo + Math.imul(al8, bl5)) | 0;
mid = (mid + Math.imul(al8, bh5)) | 0;
mid = (mid + Math.imul(ah8, bl5)) | 0;
hi = (hi + Math.imul(ah8, bh5)) | 0;
lo = (lo + Math.imul(al7, bl6)) | 0;
mid = (mid + Math.imul(al7, bh6)) | 0;
mid = (mid + Math.imul(ah7, bl6)) | 0;
hi = (hi + Math.imul(ah7, bh6)) | 0;
lo = (lo + Math.imul(al6, bl7)) | 0;
mid = (mid + Math.imul(al6, bh7)) | 0;
mid = (mid + Math.imul(ah6, bl7)) | 0;
hi = (hi + Math.imul(ah6, bh7)) | 0;
lo = (lo + Math.imul(al5, bl8)) | 0;
mid = (mid + Math.imul(al5, bh8)) | 0;
mid = (mid + Math.imul(ah5, bl8)) | 0;
hi = (hi + Math.imul(ah5, bh8)) | 0;
lo = (lo + Math.imul(al4, bl9)) | 0;
mid = (mid + Math.imul(al4, bh9)) | 0;
mid = (mid + Math.imul(ah4, bl9)) | 0;
hi = (hi + Math.imul(ah4, bh9)) | 0;
var w13 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
c = (((hi + (mid >>> 13)) | 0) + (w13 >>> 26)) | 0;
w13 &= 0x3ffffff;
/* k = 14 */
lo = Math.imul(al9, bl5);
mid = Math.imul(al9, bh5);
mid = (mid + Math.imul(ah9, bl5)) | 0;
hi = Math.imul(ah9, bh5);
lo = (lo + Math.imul(al8, bl6)) | 0;
mid = (mid + Math.imul(al8, bh6)) | 0;
mid = (mid + Math.imul(ah8, bl6)) | 0;
hi = (hi + Math.imul(ah8, bh6)) | 0;
lo = (lo + Math.imul(al7, bl7)) | 0;
mid = (mid + Math.imul(al7, bh7)) | 0;
mid = (mid + Math.imul(ah7, bl7)) | 0;
hi = (hi + Math.imul(ah7, bh7)) | 0;
lo = (lo + Math.imul(al6, bl8)) | 0;
mid = (mid + Math.imul(al6, bh8)) | 0;
mid = (mid + Math.imul(ah6, bl8)) | 0;
hi = (hi + Math.imul(ah6, bh8)) | 0;
lo = (lo + Math.imul(al5, bl9)) | 0;
mid = (mid + Math.imul(al5, bh9)) | 0;
mid = (mid + Math.imul(ah5, bl9)) | 0;
hi = (hi + Math.imul(ah5, bh9)) | 0;
var w14 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
c = (((hi + (mid >>> 13)) | 0) + (w14 >>> 26)) | 0;
w14 &= 0x3ffffff;
/* k = 15 */
lo = Math.imul(al9, bl6);
mid = Math.imul(al9, bh6);
mid = (mid + Math.imul(ah9, bl6)) | 0;
hi = Math.imul(ah9, bh6);
lo = (lo + Math.imul(al8, bl7)) | 0;
mid = (mid + Math.imul(al8, bh7)) | 0;
mid = (mid + Math.imul(ah8, bl7)) | 0;
hi = (hi + Math.imul(ah8, bh7)) | 0;
lo = (lo + Math.imul(al7, bl8)) | 0;
mid = (mid + Math.imul(al7, bh8)) | 0;
mid = (mid + Math.imul(ah7, bl8)) | 0;
hi = (hi + Math.imul(ah7, bh8)) | 0;
lo = (lo + Math.imul(al6, bl9)) | 0;
mid = (mid + Math.imul(al6, bh9)) | 0;
mid = (mid + Math.imul(ah6, bl9)) | 0;
hi = (hi + Math.imul(ah6, bh9)) | 0;
var w15 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
c = (((hi + (mid >>> 13)) | 0) + (w15 >>> 26)) | 0;
w15 &= 0x3ffffff;
/* k = 16 */
lo = Math.imul(al9, bl7);
mid = Math.imul(al9, bh7);
mid = (mid + Math.imul(ah9, bl7)) | 0;
hi = Math.imul(ah9, bh7);
lo = (lo + Math.imul(al8, bl8)) | 0;
mid = (mid + Math.imul(al8, bh8)) | 0;
mid = (mid + Math.imul(ah8, bl8)) | 0;
hi = (hi + Math.imul(ah8, bh8)) | 0;
lo = (lo + Math.imul(al7, bl9)) | 0;
mid = (mid + Math.imul(al7, bh9)) | 0;
mid = (mid + Math.imul(ah7, bl9)) | 0;
hi = (hi + Math.imul(ah7, bh9)) | 0;
var w16 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
c = (((hi + (mid >>> 13)) | 0) + (w16 >>> 26)) | 0;
w16 &= 0x3ffffff;
/* k = 17 */
lo = Math.imul(al9, bl8);
mid = Math.imul(al9, bh8);
mid = (mid + Math.imul(ah9, bl8)) | 0;
hi = Math.imul(ah9, bh8);
lo = (lo + Math.imul(al8, bl9)) | 0;
mid = (mid + Math.imul(al8, bh9)) | 0;
mid = (mid + Math.imul(ah8, bl9)) | 0;
hi = (hi + Math.imul(ah8, bh9)) | 0;
var w17 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
c = (((hi + (mid >>> 13)) | 0) + (w17 >>> 26)) | 0;
w17 &= 0x3ffffff;
/* k = 18 */
lo = Math.imul(al9, bl9);
mid = Math.imul(al9, bh9);
mid = (mid + Math.imul(ah9, bl9)) | 0;
hi = Math.imul(ah9, bh9);
var w18 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
c = (((hi + (mid >>> 13)) | 0) + (w18 >>> 26)) | 0;
w18 &= 0x3ffffff;
o[0] = w0;
o[1] = w1;
o[2] = w2;
o[3] = w3;
o[4] = w4;
o[5] = w5;
o[6] = w6;
o[7] = w7;
o[8] = w8;
o[9] = w9;
o[10] = w10;
o[11] = w11;
o[12] = w12;
o[13] = w13;
o[14] = w14;
o[15] = w15;
o[16] = w16;
o[17] = w17;
o[18] = w18;
if (c !== 0) {
o[19] = c;
out.length++;
}
return out;
};
// Polyfill comb
if (!Math.imul) {
comb10MulTo = smallMulTo;
}
function bigMulTo (self, num, out) {
out.negative = num.negative ^ self.negative;
out.length = self.length + num.length;
var carry = 0;
var hncarry = 0;
for (var k = 0; k < out.length - 1; k++) {
// Sum all words with the same `i + j = k` and accumulate `ncarry`,
// note that ncarry could be >= 0x3ffffff
var ncarry = hncarry;
hncarry = 0;
var rword = carry & 0x3ffffff;
var maxJ = Math.min(k, num.length - 1);
for (var j = Math.max(0, k - self.length + 1); j <= maxJ; j++) {
var i = k - j;
var a = self.words[i] | 0;
var b = num.words[j] | 0;
var r = a * b;
var lo = r & 0x3ffffff;
ncarry = (ncarry + ((r / 0x4000000) | 0)) | 0;
lo = (lo + rword) | 0;
rword = lo & 0x3ffffff;
ncarry = (ncarry + (lo >>> 26)) | 0;
hncarry += ncarry >>> 26;
ncarry &= 0x3ffffff;
}
out.words[k] = rword;
carry = ncarry;
ncarry = hncarry;
}
if (carry !== 0) {
out.words[k] = carry;
} else {
out.length--;
}
return out.strip();
}
function jumboMulTo (self, num, out) {
var fftm = new FFTM();
return fftm.mulp(self, num, out);
}
BN.prototype.mulTo = function mulTo (num, out) {
var res;
var len = this.length + num.length;
if (this.length === 10 && num.length === 10) {
res = comb10MulTo(this, num, out);
} else if (len < 63) {
res = smallMulTo(this, num, out);
} else if (len < 1024) {
res = bigMulTo(this, num, out);
} else {
res = jumboMulTo(this, num, out);
}
return res;
};
// Cooley-Tukey algorithm for FFT
// slightly revisited to rely on looping instead of recursion
function FFTM (x, y) {
this.x = x;
this.y = y;
}
FFTM.prototype.makeRBT = function makeRBT (N) {
var t = new Array(N);
var l = BN.prototype._countBits(N) - 1;
for (var i = 0; i < N; i++) {
t[i] = this.revBin(i, l, N);
}
return t;
};
// Returns binary-reversed representation of `x`
FFTM.prototype.revBin = function revBin (x, l, N) {
if (x === 0 || x === N - 1) return x;
var rb = 0;
for (var i = 0; i < l; i++) {
rb |= (x & 1) << (l - i - 1);
x >>= 1;
}
return rb;
};
// Performs "tweedling" phase, therefore 'emulating'
// behaviour of the recursive algorithm
FFTM.prototype.permute = function permute (rbt, rws, iws, rtws, itws, N) {
for (var i = 0; i < N; i++) {
rtws[i] = rws[rbt[i]];
itws[i] = iws[rbt[i]];
}
};
FFTM.prototype.transform = function transform (rws, iws, rtws, itws, N, rbt) {
this.permute(rbt, rws, iws, rtws, itws, N);
for (var s = 1; s < N; s <<= 1) {
var l = s << 1;
var rtwdf = Math.cos(2 * Math.PI / l);
var itwdf = Math.sin(2 * Math.PI / l);
for (var p = 0; p < N; p += l) {
var rtwdf_ = rtwdf;
var itwdf_ = itwdf;
for (var j = 0; j < s; j++) {
var re = rtws[p + j];
var ie = itws[p + j];
var ro = rtws[p + j + s];
var io = itws[p + j + s];
var rx = rtwdf_ * ro - itwdf_ * io;
io = rtwdf_ * io + itwdf_ * ro;
ro = rx;
rtws[p + j] = re + ro;
itws[p + j] = ie + io;
rtws[p + j + s] = re - ro;
itws[p + j + s] = ie - io;
/* jshint maxdepth : false */
if (j !== l) {
rx = rtwdf * rtwdf_ - itwdf * itwdf_;
itwdf_ = rtwdf * itwdf_ + itwdf * rtwdf_;
rtwdf_ = rx;
}
}
}
}
};
FFTM.prototype.guessLen13b = function guessLen13b (n, m) {
var N = Math.max(m, n) | 1;
var odd = N & 1;
var i = 0;
for (N = N / 2 | 0; N; N = N >>> 1) {
i++;
}
return 1 << i + 1 + odd;
};
FFTM.prototype.conjugate = function conjugate (rws, iws, N) {
if (N <= 1) return;
for (var i = 0; i < N / 2; i++) {
var t = rws[i];
rws[i] = rws[N - i - 1];
rws[N - i - 1] = t;
t = iws[i];
iws[i] = -iws[N - i - 1];
iws[N - i - 1] = -t;
}
};
FFTM.prototype.normalize13b = function normalize13b (ws, N) {
var carry = 0;
for (var i = 0; i < N / 2; i++) {
var w = Math.round(ws[2 * i + 1] / N) * 0x2000 +
Math.round(ws[2 * i] / N) +
carry;
ws[i] = w & 0x3ffffff;
if (w < 0x4000000) {
carry = 0;
} else {
carry = w / 0x4000000 | 0;
}
}
return ws;
};
FFTM.prototype.convert13b = function convert13b (ws, len, rws, N) {
var carry = 0;
for (var i = 0; i < len; i++) {
carry = carry + (ws[i] | 0);
rws[2 * i] = carry & 0x1fff; carry = carry >>> 13;
rws[2 * i + 1] = carry & 0x1fff; carry = carry >>> 13;
}
// Pad with zeroes
for (i = 2 * len; i < N; ++i) {
rws[i] = 0;
}
assert(carry === 0);
assert((carry & ~0x1fff) === 0);
};
FFTM.prototype.stub = function stub (N) {
var ph = new Array(N);
for (var i = 0; i < N; i++) {
ph[i] = 0;
}
return ph;
};
FFTM.prototype.mulp = function mulp (x, y, out) {
var N = 2 * this.guessLen13b(x.length, y.length);
var rbt = this.makeRBT(N);
var _ = this.stub(N);
var rws = new Array(N);
var rwst = new Array(N);
var iwst = new Array(N);
var nrws = new Array(N);
var nrwst = new Array(N);
var niwst = new Array(N);
var rmws = out.words;
rmws.length = N;
this.convert13b(x.words, x.length, rws, N);
this.convert13b(y.words, y.length, nrws, N);
this.transform(rws, _, rwst, iwst, N, rbt);
this.transform(nrws, _, nrwst, niwst, N, rbt);
for (var i = 0; i < N; i++) {
var rx = rwst[i] * nrwst[i] - iwst[i] * niwst[i];
iwst[i] = rwst[i] * niwst[i] + iwst[i] * nrwst[i];
rwst[i] = rx;
}
this.conjugate(rwst, iwst, N);
this.transform(rwst, iwst, rmws, _, N, rbt);
this.conjugate(rmws, _, N);
this.normalize13b(rmws, N);
out.negative = x.negative ^ y.negative;
out.length = x.length + y.length;
return out.strip();
};
// Multiply `this` by `num`
BN.prototype.mul = function mul (num) {
var out = new BN(null);
out.words = new Array(this.length + num.length);
return this.mulTo(num, out);
};
// Multiply employing FFT
BN.prototype.mulf = function mulf (num) {
var out = new BN(null);
out.words = new Array(this.length + num.length);
return jumboMulTo(this, num, out);
};
// In-place Multiplication
BN.prototype.imul = function imul (num) {
return this.clone().mulTo(num, this);
};
BN.prototype.imuln = function imuln (num) {
assert(typeof num === 'number');
assert(num < 0x4000000);
// Carry
var carry = 0;
for (var i = 0; i < this.length; i++) {
var w = (this.words[i] | 0) * num;
var lo = (w & 0x3ffffff) + (carry & 0x3ffffff);
carry >>= 26;
carry += (w / 0x4000000) | 0;
// NOTE: lo is 27bit maximum
carry += lo >>> 26;
this.words[i] = lo & 0x3ffffff;
}
if (carry !== 0) {
this.words[i] = carry;
this.length++;
}
return this;
};
BN.prototype.muln = function muln (num) {
return this.clone().imuln(num);
};
// `this` * `this`
BN.prototype.sqr = function sqr () {
return this.mul(this);
};
// `this` * `this` in-place
BN.prototype.isqr = function isqr () {
return this.imul(this.clone());
};
// Math.pow(`this`, `num`)
BN.prototype.pow = function pow (num) {
var w = toBitArray(num);
if (w.length === 0) return new BN(1);
// Skip leading zeroes
var res = this;
for (var i = 0; i < w.length; i++, res = res.sqr()) {
if (w[i] !== 0) break;
}
if (++i < w.length) {
for (var q = res.sqr(); i < w.length; i++, q = q.sqr()) {
if (w[i] === 0) continue;
res = res.mul(q);
}
}
return res;
};
// Shift-left in-place
BN.prototype.iushln = function iushln (bits) {
assert(typeof bits === 'number' && bits >= 0);
var r = bits % 26;
var s = (bits - r) / 26;
var carryMask = (0x3ffffff >>> (26 - r)) << (26 - r);
var i;
if (r !== 0) {
var carry = 0;
for (i = 0; i < this.length; i++) {
var newCarry = this.words[i] & carryMask;
var c = ((this.words[i] | 0) - newCarry) << r;
this.words[i] = c | carry;
carry = newCarry >>> (26 - r);
}
if (carry) {
this.words[i] = carry;
this.length++;
}
}
if (s !== 0) {
for (i = this.length - 1; i >= 0; i--) {
this.words[i + s] = this.words[i];
}
for (i = 0; i < s; i++) {
this.words[i] = 0;
}
this.length += s;
}
return this.strip();
};
BN.prototype.ishln = function ishln (bits) {
// TODO(indutny): implement me
assert(this.negative === 0);
return this.iushln(bits);
};
// Shift-right in-place
// NOTE: `hint` is a lowest bit before trailing zeroes
// NOTE: if `extended` is present - it will be filled with destroyed bits
BN.prototype.iushrn = function iushrn (bits, hint, extended) {
assert(typeof bits === 'number' && bits >= 0);
var h;
if (hint) {
h = (hint - (hint % 26)) / 26;
} else {
h = 0;
}
var r = bits % 26;
var s = Math.min((bits - r) / 26, this.length);
var mask = 0x3ffffff ^ ((0x3ffffff >>> r) << r);
var maskedWords = extended;
h -= s;
h = Math.max(0, h);
// Extended mode, copy masked part
if (maskedWords) {
for (var i = 0; i < s; i++) {
maskedWords.words[i] = this.words[i];
}
maskedWords.length = s;
}
if (s === 0) {
// No-op, we should not move anything at all
} else if (this.length > s) {
this.length -= s;
for (i = 0; i < this.length; i++) {
this.words[i] = this.words[i + s];
}
} else {
this.words[0] = 0;
this.length = 1;
}
var carry = 0;
for (i = this.length - 1; i >= 0 && (carry !== 0 || i >= h); i--) {
var word = this.words[i] | 0;
this.words[i] = (carry << (26 - r)) | (word >>> r);
carry = word & mask;
}
// Push carried bits as a mask
if (maskedWords && carry !== 0) {
maskedWords.words[maskedWords.length++] = carry;
}
if (this.length === 0) {
this.words[0] = 0;
this.length = 1;
}
return this.strip();
};
BN.prototype.ishrn = function ishrn (bits, hint, extended) {
// TODO(indutny): implement me
assert(this.negative === 0);
return this.iushrn(bits, hint, extended);
};
// Shift-left
BN.prototype.shln = function shln (bits) {
return this.clone().ishln(bits);
};
BN.prototype.ushln = function ushln (bits) {
return this.clone().iushln(bits);
};
// Shift-right
BN.prototype.shrn = function shrn (bits) {
return this.clone().ishrn(bits);
};
BN.prototype.ushrn = function ushrn (bits) {
return this.clone().iushrn(bits);
};
// Test if n bit is set
BN.prototype.testn = function testn (bit) {
assert(typeof bit === 'number' && bit >= 0);
var r = bit % 26;
var s = (bit - r) / 26;
var q = 1 << r;
// Fast case: bit is much higher than all existing words
if (this.length <= s) return false;
// Check bit and return
var w = this.words[s];
return !!(w & q);
};
// Return only lowers bits of number (in-place)
BN.prototype.imaskn = function imaskn (bits) {
assert(typeof bits === 'number' && bits >= 0);
var r = bits % 26;
var s = (bits - r) / 26;
assert(this.negative === 0, 'imaskn works only with positive numbers');
if (this.length <= s) {
return this;
}
if (r !== 0) {
s++;
}
this.length = Math.min(s, this.length);
if (r !== 0) {
var mask = 0x3ffffff ^ ((0x3ffffff >>> r) << r);
this.words[this.length - 1] &= mask;
}
return this.strip();
};
// Return only lowers bits of number
BN.prototype.maskn = function maskn (bits) {
return this.clone().imaskn(bits);
};
// Add plain number `num` to `this`
BN.prototype.iaddn = function iaddn (num) {
assert(typeof num === 'number');
assert(num < 0x4000000);
if (num < 0) return this.isubn(-num);
// Possible sign change
if (this.negative !== 0) {
if (this.length === 1 && (this.words[0] | 0) < num) {
this.words[0] = num - (this.words[0] | 0);
this.negative = 0;
return this;
}
this.negative = 0;
this.isubn(num);
this.negative = 1;
return this;
}
// Add without checks
return this._iaddn(num);
};
BN.prototype._iaddn = function _iaddn (num) {
this.words[0] += num;
// Carry
for (var i = 0; i < this.length && this.words[i] >= 0x4000000; i++) {
this.words[i] -= 0x4000000;
if (i === this.length - 1) {
this.words[i + 1] = 1;
} else {
this.words[i + 1]++;
}
}
this.length = Math.max(this.length, i + 1);
return this;
};
// Subtract plain number `num` from `this`
BN.prototype.isubn = function isubn (num) {
assert(typeof num === 'number');
assert(num < 0x4000000);
if (num < 0) return this.iaddn(-num);
if (this.negative !== 0) {
this.negative = 0;
this.iaddn(num);
this.negative = 1;
return this;
}
this.words[0] -= num;
if (this.length === 1 && this.words[0] < 0) {
this.words[0] = -this.words[0];
this.negative = 1;
} else {
// Carry
for (var i = 0; i < this.length && this.words[i] < 0; i++) {
this.words[i] += 0x4000000;
this.words[i + 1] -= 1;
}
}
return this.strip();
};
BN.prototype.addn = function addn (num) {
return this.clone().iaddn(num);
};
BN.prototype.subn = function subn (num) {
return this.clone().isubn(num);
};
BN.prototype.iabs = function iabs () {
this.negative = 0;
return this;
};
BN.prototype.abs = function abs () {
return this.clone().iabs();
};
BN.prototype._ishlnsubmul = function _ishlnsubmul (num, mul, shift) {
var len = num.length + shift;
var i;
this._expand(len);
var w;
var carry = 0;
for (i = 0; i < num.length; i++) {
w = (this.words[i + shift] | 0) + carry;
var right = (num.words[i] | 0) * mul;
w -= right & 0x3ffffff;
carry = (w >> 26) - ((right / 0x4000000) | 0);
this.words[i + shift] = w & 0x3ffffff;
}
for (; i < this.length - shift; i++) {
w = (this.words[i + shift] | 0) + carry;
carry = w >> 26;
this.words[i + shift] = w & 0x3ffffff;
}
if (carry === 0) return this.strip();
// Subtraction overflow
assert(carry === -1);
carry = 0;
for (i = 0; i < this.length; i++) {
w = -(this.words[i] | 0) + carry;
carry = w >> 26;
this.words[i] = w & 0x3ffffff;
}
this.negative = 1;
return this.strip();
};
BN.prototype._wordDiv = function _wordDiv (num, mode) {
var shift = this.length - num.length;
var a = this.clone();
var b = num;
// Normalize
var bhi = b.words[b.length - 1] | 0;
var bhiBits = this._countBits(bhi);
shift = 26 - bhiBits;
if (shift !== 0) {
b = b.ushln(shift);
a.iushln(shift);
bhi = b.words[b.length - 1] | 0;
}
// Initialize quotient
var m = a.length - b.length;
var q;
if (mode !== 'mod') {
q = new BN(null);
q.length = m + 1;
q.words = new Array(q.length);
for (var i = 0; i < q.length; i++) {
q.words[i] = 0;
}
}
var diff = a.clone()._ishlnsubmul(b, 1, m);
if (diff.negative === 0) {
a = diff;
if (q) {
q.words[m] = 1;
}
}
for (var j = m - 1; j >= 0; j--) {
var qj = (a.words[b.length + j] | 0) * 0x4000000 +
(a.words[b.length + j - 1] | 0);
// NOTE: (qj / bhi) is (0x3ffffff * 0x4000000 + 0x3ffffff) / 0x2000000 max
// (0x7ffffff)
qj = Math.min((qj / bhi) | 0, 0x3ffffff);
a._ishlnsubmul(b, qj, j);
while (a.negative !== 0) {
qj--;
a.negative = 0;
a._ishlnsubmul(b, 1, j);
if (!a.isZero()) {
a.negative ^= 1;
}
}
if (q) {
q.words[j] = qj;
}
}
if (q) {
q.strip();
}
a.strip();
// Denormalize
if (mode !== 'div' && shift !== 0) {
a.iushrn(shift);
}
return {
div: q || null,
mod: a
};
};
// NOTE: 1) `mode` can be set to `mod` to request mod only,
// to `div` to request div only, or be absent to
// request both div & mod
// 2) `positive` is true if unsigned mod is requested
BN.prototype.divmod = function divmod (num, mode, positive) {
assert(!num.isZero());
if (this.isZero()) {
return {
div: new BN(0),
mod: new BN(0)
};
}
var div, mod, res;
if (this.negative !== 0 && num.negative === 0) {
res = this.neg().divmod(num, mode);
if (mode !== 'mod') {
div = res.div.neg();
}
if (mode !== 'div') {
mod = res.mod.neg();
if (positive && mod.negative !== 0) {
mod.iadd(num);
}
}
return {
div: div,
mod: mod
};
}
if (this.negative === 0 && num.negative !== 0) {
res = this.divmod(num.neg(), mode);
if (mode !== 'mod') {
div = res.div.neg();
}
return {
div: div,
mod: res.mod
};
}
if ((this.negative & num.negative) !== 0) {
res = this.neg().divmod(num.neg(), mode);
if (mode !== 'div') {
mod = res.mod.neg();
if (positive && mod.negative !== 0) {
mod.isub(num);
}
}
return {
div: res.div,
mod: mod
};
}
// Both numbers are positive at this point
// Strip both numbers to approximate shift value
if (num.length > this.length || this.cmp(num) < 0) {
return {
div: new BN(0),
mod: this
};
}
// Very short reduction
if (num.length === 1) {
if (mode === 'div') {
return {
div: this.divn(num.words[0]),
mod: null
};
}
if (mode === 'mod') {
return {
div: null,
mod: new BN(this.modn(num.words[0]))
};
}
return {
div: this.divn(num.words[0]),
mod: new BN(this.modn(num.words[0]))
};
}
return this._wordDiv(num, mode);
};
// Find `this` / `num`
BN.prototype.div = function div (num) {
return this.divmod(num, 'div', false).div;
};
// Find `this` % `num`
BN.prototype.mod = function mod (num) {
return this.divmod(num, 'mod', false).mod;
};
BN.prototype.umod = function umod (num) {
return this.divmod(num, 'mod', true).mod;
};
// Find Round(`this` / `num`)
BN.prototype.divRound = function divRound (num) {
var dm = this.divmod(num);
// Fast case - exact division
if (dm.mod.isZero()) return dm.div;
var mod = dm.div.negative !== 0 ? dm.mod.isub(num) : dm.mod;
var half = num.ushrn(1);
var r2 = num.andln(1);
var cmp = mod.cmp(half);
// Round down
if (cmp < 0 || r2 === 1 && cmp === 0) return dm.div;
// Round up
return dm.div.negative !== 0 ? dm.div.isubn(1) : dm.div.iaddn(1);
};
BN.prototype.modn = function modn (num) {
assert(num <= 0x3ffffff);
var p = (1 << 26) % num;
var acc = 0;
for (var i = this.length - 1; i >= 0; i--) {
acc = (p * acc + (this.words[i] | 0)) % num;
}
return acc;
};
// In-place division by number
BN.prototype.idivn = function idivn (num) {
assert(num <= 0x3ffffff);
var carry = 0;
for (var i = this.length - 1; i >= 0; i--) {
var w = (this.words[i] | 0) + carry * 0x4000000;
this.words[i] = (w / num) | 0;
carry = w % num;
}
return this.strip();
};
BN.prototype.divn = function divn (num) {
return this.clone().idivn(num);
};
BN.prototype.egcd = function egcd (p) {
assert(p.negative === 0);
assert(!p.isZero());
var x = this;
var y = p.clone();
if (x.negative !== 0) {
x = x.umod(p);
} else {
x = x.clone();
}
// A * x + B * y = x
var A = new BN(1);
var B = new BN(0);
// C * x + D * y = y
var C = new BN(0);
var D = new BN(1);
var g = 0;
while (x.isEven() && y.isEven()) {
x.iushrn(1);
y.iushrn(1);
++g;
}
var yp = y.clone();
var xp = x.clone();
while (!x.isZero()) {
for (var i = 0, im = 1; (x.words[0] & im) === 0 && i < 26; ++i, im <<= 1);
if (i > 0) {
x.iushrn(i);
while (i-- > 0) {
if (A.isOdd() || B.isOdd()) {
A.iadd(yp);
B.isub(xp);
}
A.iushrn(1);
B.iushrn(1);
}
}
for (var j = 0, jm = 1; (y.words[0] & jm) === 0 && j < 26; ++j, jm <<= 1);
if (j > 0) {
y.iushrn(j);
while (j-- > 0) {
if (C.isOdd() || D.isOdd()) {
C.iadd(yp);
D.isub(xp);
}
C.iushrn(1);
D.iushrn(1);
}
}
if (x.cmp(y) >= 0) {
x.isub(y);
A.isub(C);
B.isub(D);
} else {
y.isub(x);
C.isub(A);
D.isub(B);
}
}
return {
a: C,
b: D,
gcd: y.iushln(g)
};
};
// This is reduced incarnation of the binary EEA
// above, designated to invert members of the
// _prime_ fields F(p) at a maximal speed
BN.prototype._invmp = function _invmp (p) {
assert(p.negative === 0);
assert(!p.isZero());
var a = this;
var b = p.clone();
if (a.negative !== 0) {
a = a.umod(p);
} else {
a = a.clone();
}
var x1 = new BN(1);
var x2 = new BN(0);
var delta = b.clone();
while (a.cmpn(1) > 0 && b.cmpn(1) > 0) {
for (var i = 0, im = 1; (a.words[0] & im) === 0 && i < 26; ++i, im <<= 1);
if (i > 0) {
a.iushrn(i);
while (i-- > 0) {
if (x1.isOdd()) {
x1.iadd(delta);
}
x1.iushrn(1);
}
}
for (var j = 0, jm = 1; (b.words[0] & jm) === 0 && j < 26; ++j, jm <<= 1);
if (j > 0) {
b.iushrn(j);
while (j-- > 0) {
if (x2.isOdd()) {
x2.iadd(delta);
}
x2.iushrn(1);
}
}
if (a.cmp(b) >= 0) {
a.isub(b);
x1.isub(x2);
} else {
b.isub(a);
x2.isub(x1);
}
}
var res;
if (a.cmpn(1) === 0) {
res = x1;
} else {
res = x2;
}
if (res.cmpn(0) < 0) {
res.iadd(p);
}
return res;
};
BN.prototype.gcd = function gcd (num) {
if (this.isZero()) return num.abs();
if (num.isZero()) return this.abs();
var a = this.clone();
var b = num.clone();
a.negative = 0;
b.negative = 0;
// Remove common factor of two
for (var shift = 0; a.isEven() && b.isEven(); shift++) {
a.iushrn(1);
b.iushrn(1);
}
do {
while (a.isEven()) {
a.iushrn(1);
}
while (b.isEven()) {
b.iushrn(1);
}
var r = a.cmp(b);
if (r < 0) {
// Swap `a` and `b` to make `a` always bigger than `b`
var t = a;
a = b;
b = t;
} else if (r === 0 || b.cmpn(1) === 0) {
break;
}
a.isub(b);
} while (true);
return b.iushln(shift);
};
// Invert number in the field F(num)
BN.prototype.invm = function invm (num) {
return this.egcd(num).a.umod(num);
};
BN.prototype.isEven = function isEven () {
return (this.words[0] & 1) === 0;
};
BN.prototype.isOdd = function isOdd () {
return (this.words[0] & 1) === 1;
};
// And first word and num
BN.prototype.andln = function andln (num) {
return this.words[0] & num;
};
// Increment at the bit position in-line
BN.prototype.bincn = function bincn (bit) {
assert(typeof bit === 'number');
var r = bit % 26;
var s = (bit - r) / 26;
var q = 1 << r;
// Fast case: bit is much higher than all existing words
if (this.length <= s) {
this._expand(s + 1);
this.words[s] |= q;
return this;
}
// Add bit and propagate, if needed
var carry = q;
for (var i = s; carry !== 0 && i < this.length; i++) {
var w = this.words[i] | 0;
w += carry;
carry = w >>> 26;
w &= 0x3ffffff;
this.words[i] = w;
}
if (carry !== 0) {
this.words[i] = carry;
this.length++;
}
return this;
};
BN.prototype.isZero = function isZero () {
return this.length === 1 && this.words[0] === 0;
};
BN.prototype.cmpn = function cmpn (num) {
var negative = num < 0;
if (this.negative !== 0 && !negative) return -1;
if (this.negative === 0 && negative) return 1;
this.strip();
var res;
if (this.length > 1) {
res = 1;
} else {
if (negative) {
num = -num;
}
assert(num <= 0x3ffffff, 'Number is too big');
var w = this.words[0] | 0;
res = w === num ? 0 : w < num ? -1 : 1;
}
if (this.negative !== 0) return -res | 0;
return res;
};
// Compare two numbers and return:
// 1 - if `this` > `num`
// 0 - if `this` == `num`
// -1 - if `this` < `num`
BN.prototype.cmp = function cmp (num) {
if (this.negative !== 0 && num.negative === 0) return -1;
if (this.negative === 0 && num.negative !== 0) return 1;
var res = this.ucmp(num);
if (this.negative !== 0) return -res | 0;
return res;
};
// Unsigned comparison
BN.prototype.ucmp = function ucmp (num) {
// At this point both numbers have the same sign
if (this.length > num.length) return 1;
if (this.length < num.length) return -1;
var res = 0;
for (var i = this.length - 1; i >= 0; i--) {
var a = this.words[i] | 0;
var b = num.words[i] | 0;
if (a === b) continue;
if (a < b) {
res = -1;
} else if (a > b) {
res = 1;
}
break;
}
return res;
};
BN.prototype.gtn = function gtn (num) {
return this.cmpn(num) === 1;
};
BN.prototype.gt = function gt (num) {
return this.cmp(num) === 1;
};
BN.prototype.gten = function gten (num) {
return this.cmpn(num) >= 0;
};
BN.prototype.gte = function gte (num) {
return this.cmp(num) >= 0;
};
BN.prototype.ltn = function ltn (num) {
return this.cmpn(num) === -1;
};
BN.prototype.lt = function lt (num) {
return this.cmp(num) === -1;
};
BN.prototype.lten = function lten (num) {
return this.cmpn(num) <= 0;
};
BN.prototype.lte = function lte (num) {
return this.cmp(num) <= 0;
};
BN.prototype.eqn = function eqn (num) {
return this.cmpn(num) === 0;
};
BN.prototype.eq = function eq (num) {
return this.cmp(num) === 0;
};
//
// A reduce context, could be using montgomery or something better, depending
// on the `m` itself.
//
BN.red = function red (num) {
return new Red(num);
};
BN.prototype.toRed = function toRed (ctx) {
assert(!this.red, 'Already a number in reduction context');
assert(this.negative === 0, 'red works only with positives');
return ctx.convertTo(this)._forceRed(ctx);
};
BN.prototype.fromRed = function fromRed () {
assert(this.red, 'fromRed works only with numbers in reduction context');
return this.red.convertFrom(this);
};
BN.prototype._forceRed = function _forceRed (ctx) {
this.red = ctx;
return this;
};
BN.prototype.forceRed = function forceRed (ctx) {
assert(!this.red, 'Already a number in reduction context');
return this._forceRed(ctx);
};
BN.prototype.redAdd = function redAdd (num) {
assert(this.red, 'redAdd works only with red numbers');
return this.red.add(this, num);
};
BN.prototype.redIAdd = function redIAdd (num) {
assert(this.red, 'redIAdd works only with red numbers');
return this.red.iadd(this, num);
};
BN.prototype.redSub = function redSub (num) {
assert(this.red, 'redSub works only with red numbers');
return this.red.sub(this, num);
};
BN.prototype.redISub = function redISub (num) {
assert(this.red, 'redISub works only with red numbers');
return this.red.isub(this, num);
};
BN.prototype.redShl = function redShl (num) {
assert(this.red, 'redShl works only with red numbers');
return this.red.shl(this, num);
};
BN.prototype.redMul = function redMul (num) {
assert(this.red, 'redMul works only with red numbers');
this.red._verify2(this, num);
return this.red.mul(this, num);
};
BN.prototype.redIMul = function redIMul (num) {
assert(this.red, 'redMul works only with red numbers');
this.red._verify2(this, num);
return this.red.imul(this, num);
};
BN.prototype.redSqr = function redSqr () {
assert(this.red, 'redSqr works only with red numbers');
this.red._verify1(this);
return this.red.sqr(this);
};
BN.prototype.redISqr = function redISqr () {
assert(this.red, 'redISqr works only with red numbers');
this.red._verify1(this);
return this.red.isqr(this);
};
// Square root over p
BN.prototype.redSqrt = function redSqrt () {
assert(this.red, 'redSqrt works only with red numbers');
this.red._verify1(this);
return this.red.sqrt(this);
};
BN.prototype.redInvm = function redInvm () {
assert(this.red, 'redInvm works only with red numbers');
this.red._verify1(this);
return this.red.invm(this);
};
// Return negative clone of `this` % `red modulo`
BN.prototype.redNeg = function redNeg () {
assert(this.red, 'redNeg works only with red numbers');
this.red._verify1(this);
return this.red.neg(this);
};
BN.prototype.redPow = function redPow (num) {
assert(this.red && !num.red, 'redPow(normalNum)');
this.red._verify1(this);
return this.red.pow(this, num);
};
// Prime numbers with efficient reduction
var primes = {
k256: null,
p224: null,
p192: null,
p25519: null
};
// Pseudo-Mersenne prime
function MPrime (name, p) {
// P = 2 ^ N - K
this.name = name;
this.p = new BN(p, 16);
this.n = this.p.bitLength();
this.k = new BN(1).iushln(this.n).isub(this.p);
this.tmp = this._tmp();
}
MPrime.prototype._tmp = function _tmp () {
var tmp = new BN(null);
tmp.words = new Array(Math.ceil(this.n / 13));
return tmp;
};
MPrime.prototype.ireduce = function ireduce (num) {
// Assumes that `num` is less than `P^2`
// num = HI * (2 ^ N - K) + HI * K + LO = HI * K + LO (mod P)
var r = num;
var rlen;
do {
this.split(r, this.tmp);
r = this.imulK(r);
r = r.iadd(this.tmp);
rlen = r.bitLength();
} while (rlen > this.n);
var cmp = rlen < this.n ? -1 : r.ucmp(this.p);
if (cmp === 0) {
r.words[0] = 0;
r.length = 1;
} else if (cmp > 0) {
r.isub(this.p);
} else {
r.strip();
}
return r;
};
MPrime.prototype.split = function split (input, out) {
input.iushrn(this.n, 0, out);
};
MPrime.prototype.imulK = function imulK (num) {
return num.imul(this.k);
};
function K256 () {
MPrime.call(
this,
'k256',
'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe fffffc2f');
}
inherits(K256, MPrime);
K256.prototype.split = function split (input, output) {
// 256 = 9 * 26 + 22
var mask = 0x3fffff;
var outLen = Math.min(input.length, 9);
for (var i = 0; i < outLen; i++) {
output.words[i] = input.words[i];
}
output.length = outLen;
if (input.length <= 9) {
input.words[0] = 0;
input.length = 1;
return;
}
// Shift by 9 limbs
var prev = input.words[9];
output.words[output.length++] = prev & mask;
for (i = 10; i < input.length; i++) {
var next = input.words[i] | 0;
input.words[i - 10] = ((next & mask) << 4) | (prev >>> 22);
prev = next;
}
prev >>>= 22;
input.words[i - 10] = prev;
if (prev === 0 && input.length > 10) {
input.length -= 10;
} else {
input.length -= 9;
}
};
K256.prototype.imulK = function imulK (num) {
// K = 0x1000003d1 = [ 0x40, 0x3d1 ]
num.words[num.length] = 0;
num.words[num.length + 1] = 0;
num.length += 2;
// bounded at: 0x40 * 0x3ffffff + 0x3d0 = 0x100000390
var lo = 0;
for (var i = 0; i < num.length; i++) {
var w = num.words[i] | 0;
lo += w * 0x3d1;
num.words[i] = lo & 0x3ffffff;
lo = w * 0x40 + ((lo / 0x4000000) | 0);
}
// Fast length reduction
if (num.words[num.length - 1] === 0) {
num.length--;
if (num.words[num.length - 1] === 0) {
num.length--;
}
}
return num;
};
function P224 () {
MPrime.call(
this,
'p224',
'ffffffff ffffffff ffffffff ffffffff 00000000 00000000 00000001');
}
inherits(P224, MPrime);
function P192 () {
MPrime.call(
this,
'p192',
'ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff');
}
inherits(P192, MPrime);
function P25519 () {
// 2 ^ 255 - 19
MPrime.call(
this,
'25519',
'7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed');
}
inherits(P25519, MPrime);
P25519.prototype.imulK = function imulK (num) {
// K = 0x13
var carry = 0;
for (var i = 0; i < num.length; i++) {
var hi = (num.words[i] | 0) * 0x13 + carry;
var lo = hi & 0x3ffffff;
hi >>>= 26;
num.words[i] = lo;
carry = hi;
}
if (carry !== 0) {
num.words[num.length++] = carry;
}
return num;
};
// Exported mostly for testing purposes, use plain name instead
BN._prime = function prime (name) {
// Cached version of prime
if (primes[name]) return primes[name];
var prime;
if (name === 'k256') {
prime = new K256();
} else if (name === 'p224') {
prime = new P224();
} else if (name === 'p192') {
prime = new P192();
} else if (name === 'p25519') {
prime = new P25519();
} else {
throw new Error('Unknown prime ' + name);
}
primes[name] = prime;
return prime;
};
//
// Base reduction engine
//
function Red (m) {
if (typeof m === 'string') {
var prime = BN._prime(m);
this.m = prime.p;
this.prime = prime;
} else {
assert(m.gtn(1), 'modulus must be greater than 1');
this.m = m;
this.prime = null;
}
}
Red.prototype._verify1 = function _verify1 (a) {
assert(a.negative === 0, 'red works only with positives');
assert(a.red, 'red works only with red numbers');
};
Red.prototype._verify2 = function _verify2 (a, b) {
assert((a.negative | b.negative) === 0, 'red works only with positives');
assert(a.red && a.red === b.red,
'red works only with red numbers');
};
Red.prototype.imod = function imod (a) {
if (this.prime) return this.prime.ireduce(a)._forceRed(this);
return a.umod(this.m)._forceRed(this);
};
Red.prototype.neg = function neg (a) {
if (a.isZero()) {
return a.clone();
}
return this.m.sub(a)._forceRed(this);
};
Red.prototype.add = function add (a, b) {
this._verify2(a, b);
var res = a.add(b);
if (res.cmp(this.m) >= 0) {
res.isub(this.m);
}
return res._forceRed(this);
};
Red.prototype.iadd = function iadd (a, b) {
this._verify2(a, b);
var res = a.iadd(b);
if (res.cmp(this.m) >= 0) {
res.isub(this.m);
}
return res;
};
Red.prototype.sub = function sub (a, b) {
this._verify2(a, b);
var res = a.sub(b);
if (res.cmpn(0) < 0) {
res.iadd(this.m);
}
return res._forceRed(this);
};
Red.prototype.isub = function isub (a, b) {
this._verify2(a, b);
var res = a.isub(b);
if (res.cmpn(0) < 0) {
res.iadd(this.m);
}
return res;
};
Red.prototype.shl = function shl (a, num) {
this._verify1(a);
return this.imod(a.ushln(num));
};
Red.prototype.imul = function imul (a, b) {
this._verify2(a, b);
return this.imod(a.imul(b));
};
Red.prototype.mul = function mul (a, b) {
this._verify2(a, b);
return this.imod(a.mul(b));
};
Red.prototype.isqr = function isqr (a) {
return this.imul(a, a.clone());
};
Red.prototype.sqr = function sqr (a) {
return this.mul(a, a);
};
Red.prototype.sqrt = function sqrt (a) {
if (a.isZero()) return a.clone();
var mod3 = this.m.andln(3);
assert(mod3 % 2 === 1);
// Fast case
if (mod3 === 3) {
var pow = this.m.add(new BN(1)).iushrn(2);
return this.pow(a, pow);
}
// Tonelli-Shanks algorithm (Totally unoptimized and slow)
//
// Find Q and S, that Q * 2 ^ S = (P - 1)
var q = this.m.subn(1);
var s = 0;
while (!q.isZero() && q.andln(1) === 0) {
s++;
q.iushrn(1);
}
assert(!q.isZero());
var one = new BN(1).toRed(this);
var nOne = one.redNeg();
// Find quadratic non-residue
// NOTE: Max is such because of generalized Riemann hypothesis.
var lpow = this.m.subn(1).iushrn(1);
var z = this.m.bitLength();
z = new BN(2 * z * z).toRed(this);
while (this.pow(z, lpow).cmp(nOne) !== 0) {
z.redIAdd(nOne);
}
var c = this.pow(z, q);
var r = this.pow(a, q.addn(1).iushrn(1));
var t = this.pow(a, q);
var m = s;
while (t.cmp(one) !== 0) {
var tmp = t;
for (var i = 0; tmp.cmp(one) !== 0; i++) {
tmp = tmp.redSqr();
}
assert(i < m);
var b = this.pow(c, new BN(1).iushln(m - i - 1));
r = r.redMul(b);
c = b.redSqr();
t = t.redMul(c);
m = i;
}
return r;
};
Red.prototype.invm = function invm (a) {
var inv = a._invmp(this.m);
if (inv.negative !== 0) {
inv.negative = 0;
return this.imod(inv).redNeg();
} else {
return this.imod(inv);
}
};
Red.prototype.pow = function pow (a, num) {
if (num.isZero()) return new BN(1).toRed(this);
if (num.cmpn(1) === 0) return a.clone();
var windowSize = 4;
var wnd = new Array(1 << windowSize);
wnd[0] = new BN(1).toRed(this);
wnd[1] = a;
for (var i = 2; i < wnd.length; i++) {
wnd[i] = this.mul(wnd[i - 1], a);
}
var res = wnd[0];
var current = 0;
var currentLen = 0;
var start = num.bitLength() % 26;
if (start === 0) {
start = 26;
}
for (i = num.length - 1; i >= 0; i--) {
var word = num.words[i];
for (var j = start - 1; j >= 0; j--) {
var bit = (word >> j) & 1;
if (res !== wnd[0]) {
res = this.sqr(res);
}
if (bit === 0 && current === 0) {
currentLen = 0;
continue;
}
current <<= 1;
current |= bit;
currentLen++;
if (currentLen !== windowSize && (i !== 0 || j !== 0)) continue;
res = this.mul(res, wnd[current]);
currentLen = 0;
current = 0;
}
start = 26;
}
return res;
};
Red.prototype.convertTo = function convertTo (num) {
var r = num.umod(this.m);
return r === num ? r.clone() : r;
};
Red.prototype.convertFrom = function convertFrom (num) {
var res = num.clone();
res.red = null;
return res;
};
//
// Montgomery method engine
//
BN.mont = function mont (num) {
return new Mont(num);
};
function Mont (m) {
Red.call(this, m);
this.shift = this.m.bitLength();
if (this.shift % 26 !== 0) {
this.shift += 26 - (this.shift % 26);
}
this.r = new BN(1).iushln(this.shift);
this.r2 = this.imod(this.r.sqr());
this.rinv = this.r._invmp(this.m);
this.minv = this.rinv.mul(this.r).isubn(1).div(this.m);
this.minv = this.minv.umod(this.r);
this.minv = this.r.sub(this.minv);
}
inherits(Mont, Red);
Mont.prototype.convertTo = function convertTo (num) {
return this.imod(num.ushln(this.shift));
};
Mont.prototype.convertFrom = function convertFrom (num) {
var r = this.imod(num.mul(this.rinv));
r.red = null;
return r;
};
Mont.prototype.imul = function imul (a, b) {
if (a.isZero() || b.isZero()) {
a.words[0] = 0;
a.length = 1;
return a;
}
var t = a.imul(b);
var c = t.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m);
var u = t.isub(c).iushrn(this.shift);
var res = u;
if (u.cmp(this.m) >= 0) {
res = u.isub(this.m);
} else if (u.cmpn(0) < 0) {
res = u.iadd(this.m);
}
return res._forceRed(this);
};
Mont.prototype.mul = function mul (a, b) {
if (a.isZero() || b.isZero()) return new BN(0)._forceRed(this);
var t = a.mul(b);
var c = t.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m);
var u = t.isub(c).iushrn(this.shift);
var res = u;
if (u.cmp(this.m) >= 0) {
res = u.isub(this.m);
} else if (u.cmpn(0) < 0) {
res = u.iadd(this.m);
}
return res._forceRed(this);
};
Mont.prototype.invm = function invm (a) {
// (AR)^-1 * R^2 = (A^-1 * R^-1) * R^2 = A^-1 * R
var res = this.imod(a._invmp(this.m).mul(this.r2));
return res._forceRed(this);
};
})(typeof module === 'undefined' || module, this);
},{"buffer":2}],38:[function(require,module,exports){
'use strict'
module.exports = findBounds
function findBounds(points) {
var n = points.length
if(n === 0) {
return [[], []]
}
var d = points[0].length
var lo = points[0].slice()
var hi = points[0].slice()
for(var i=1; i<n; ++i) {
var p = points[i]
for(var j=0; j<d; ++j) {
var x = p[j]
lo[j] = Math.min(lo[j], x)
hi[j] = Math.max(hi[j], x)
}
}
return [lo, hi]
}
},{}],39:[function(require,module,exports){
'use strict'
module.exports = boxIntersectWrapper
var pool = require('typedarray-pool')
var sweep = require('./lib/sweep')
var boxIntersectIter = require('./lib/intersect')
function boxEmpty(d, box) {
for(var j=0; j<d; ++j) {
if(!(box[j] <= box[j+d])) {
return true
}
}
return false
}
//Unpack boxes into a flat typed array, remove empty boxes
function convertBoxes(boxes, d, data, ids) {
var ptr = 0
var count = 0
for(var i=0, n=boxes.length; i<n; ++i) {
var b = boxes[i]
if(boxEmpty(d, b)) {
continue
}
for(var j=0; j<2*d; ++j) {
data[ptr++] = b[j]
}
ids[count++] = i
}
return count
}
//Perform type conversions, check bounds
function boxIntersect(red, blue, visit, full) {
var n = red.length
var m = blue.length
//If either array is empty, then we can skip this whole thing
if(n <= 0 || m <= 0) {
return
}
//Compute dimension, if it is 0 then we skip
var d = (red[0].length)>>>1
if(d <= 0) {
return
}
var retval
//Convert red boxes
var redList = pool.mallocDouble(2*d*n)
var redIds = pool.mallocInt32(n)
n = convertBoxes(red, d, redList, redIds)
if(n > 0) {
if(d === 1 && full) {
//Special case: 1d complete
sweep.init(n)
retval = sweep.sweepComplete(
d, visit,
0, n, redList, redIds,
0, n, redList, redIds)
} else {
//Convert blue boxes
var blueList = pool.mallocDouble(2*d*m)
var blueIds = pool.mallocInt32(m)
m = convertBoxes(blue, d, blueList, blueIds)
if(m > 0) {
sweep.init(n+m)
if(d === 1) {
//Special case: 1d bipartite
retval = sweep.sweepBipartite(
d, visit,
0, n, redList, redIds,
0, m, blueList, blueIds)
} else {
//General case: d>1
retval = boxIntersectIter(
d, visit, full,
n, redList, redIds,
m, blueList, blueIds)
}
pool.free(blueList)
pool.free(blueIds)
}
}
pool.free(redList)
pool.free(redIds)
}
return retval
}
var RESULT
function appendItem(i,j) {
RESULT.push([i,j])
}
function intersectFullArray(x) {
RESULT = []
boxIntersect(x, x, appendItem, true)
return RESULT
}
function intersectBipartiteArray(x, y) {
RESULT = []
boxIntersect(x, y, appendItem, false)
return RESULT
}
//User-friendly wrapper, handle full input and no-visitor cases
function boxIntersectWrapper(arg0, arg1, arg2) {
var result
switch(arguments.length) {
case 1:
return intersectFullArray(arg0)
case 2:
if(typeof arg1 === 'function') {
return boxIntersect(arg0, arg0, arg1, true)
} else {
return intersectBipartiteArray(arg0, arg1)
}
case 3:
return boxIntersect(arg0, arg1, arg2, false)
default:
throw new Error('box-intersect: Invalid arguments')
}
}
},{"./lib/intersect":41,"./lib/sweep":45,"typedarray-pool":257}],40:[function(require,module,exports){
'use strict'
var DIMENSION = 'd'
var AXIS = 'ax'
var VISIT = 'vv'
var FLIP = 'fp'
var ELEM_SIZE = 'es'
var RED_START = 'rs'
var RED_END = 're'
var RED_BOXES = 'rb'
var RED_INDEX = 'ri'
var RED_PTR = 'rp'
var BLUE_START = 'bs'
var BLUE_END = 'be'
var BLUE_BOXES = 'bb'
var BLUE_INDEX = 'bi'
var BLUE_PTR = 'bp'
var RETVAL = 'rv'
var INNER_LABEL = 'Q'
var ARGS = [
DIMENSION,
AXIS,
VISIT,
RED_START,
RED_END,
RED_BOXES,
RED_INDEX,
BLUE_START,
BLUE_END,
BLUE_BOXES,
BLUE_INDEX
]
function generateBruteForce(redMajor, flip, full) {
var funcName = 'bruteForce' +
(redMajor ? 'Red' : 'Blue') +
(flip ? 'Flip' : '') +
(full ? 'Full' : '')
var code = ['function ', funcName, '(', ARGS.join(), '){',
'var ', ELEM_SIZE, '=2*', DIMENSION, ';']
var redLoop =
'for(var i=' + RED_START + ',' + RED_PTR + '=' + ELEM_SIZE + '*' + RED_START + ';' +
'i<' + RED_END +';' +
'++i,' + RED_PTR + '+=' + ELEM_SIZE + '){' +
'var x0=' + RED_BOXES + '[' + AXIS + '+' + RED_PTR + '],' +
'x1=' + RED_BOXES + '[' + AXIS + '+' + RED_PTR + '+' + DIMENSION + '],' +
'xi=' + RED_INDEX + '[i];'
var blueLoop =
'for(var j=' + BLUE_START + ',' + BLUE_PTR + '=' + ELEM_SIZE + '*' + BLUE_START + ';' +
'j<' + BLUE_END + ';' +
'++j,' + BLUE_PTR + '+=' + ELEM_SIZE + '){' +
'var y0=' + BLUE_BOXES + '[' + AXIS + '+' + BLUE_PTR + '],' +
(full ? 'y1=' + BLUE_BOXES + '[' + AXIS + '+' + BLUE_PTR + '+' + DIMENSION + '],' : '') +
'yi=' + BLUE_INDEX + '[j];'
if(redMajor) {
code.push(redLoop, INNER_LABEL, ':', blueLoop)
} else {
code.push(blueLoop, INNER_LABEL, ':', redLoop)
}
if(full) {
code.push('if(y1<x0||x1<y0)continue;')
} else if(flip) {
code.push('if(y0<=x0||x1<y0)continue;')
} else {
code.push('if(y0<x0||x1<y0)continue;')
}
code.push('for(var k='+AXIS+'+1;k<'+DIMENSION+';++k){'+
'var r0='+RED_BOXES+'[k+'+RED_PTR+'],'+
'r1='+RED_BOXES+'[k+'+DIMENSION+'+'+RED_PTR+'],'+
'b0='+BLUE_BOXES+'[k+'+BLUE_PTR+'],'+
'b1='+BLUE_BOXES+'[k+'+DIMENSION+'+'+BLUE_PTR+'];'+
'if(r1<b0||b1<r0)continue ' + INNER_LABEL + ';}' +
'var ' + RETVAL + '=' + VISIT + '(')
if(flip) {
code.push('yi,xi')
} else {
code.push('xi,yi')
}
code.push(');if(' + RETVAL + '!==void 0)return ' + RETVAL + ';}}}')
return {
name: funcName,
code: code.join('')
}
}
function bruteForcePlanner(full) {
var funcName = 'bruteForce' + (full ? 'Full' : 'Partial')
var prefix = []
var fargs = ARGS.slice()
if(!full) {
fargs.splice(3, 0, FLIP)
}
var code = ['function ' + funcName + '(' + fargs.join() + '){']
function invoke(redMajor, flip) {
var res = generateBruteForce(redMajor, flip, full)
prefix.push(res.code)
code.push('return ' + res.name + '(' + ARGS.join() + ');')
}
code.push('if(' + RED_END + '-' + RED_START + '>' +
BLUE_END + '-' + BLUE_START + '){')
if(full) {
invoke(true, false)
code.push('}else{')
invoke(false, false)
} else {
code.push('if(' + FLIP + '){')
invoke(true, true)
code.push('}else{')
invoke(true, false)
code.push('}}else{if(' + FLIP + '){')
invoke(false, true)
code.push('}else{')
invoke(false, false)
code.push('}')
}
code.push('}}return ' + funcName)
var codeStr = prefix.join('') + code.join('')
var proc = new Function(codeStr)
return proc()
}
exports.partial = bruteForcePlanner(false)
exports.full = bruteForcePlanner(true)
},{}],41:[function(require,module,exports){
'use strict'
module.exports = boxIntersectIter
var pool = require('typedarray-pool')
var bits = require('bit-twiddle')
var bruteForce = require('./brute')
var bruteForcePartial = bruteForce.partial
var bruteForceFull = bruteForce.full
var sweep = require('./sweep')
var findMedian = require('./median')
var genPartition = require('./partition')
//Twiddle parameters
var BRUTE_FORCE_CUTOFF = 128 //Cut off for brute force search
var SCAN_CUTOFF = (1<<22) //Cut off for two way scan
var SCAN_COMPLETE_CUTOFF = (1<<22)
//Partition functions
var partitionInteriorContainsInterval = genPartition(
'!(lo>=p0)&&!(p1>=hi)',
['p0', 'p1'])
var partitionStartEqual = genPartition(
'lo===p0',
['p0'])
var partitionStartLessThan = genPartition(
'lo<p0',
['p0'])
var partitionEndLessThanEqual = genPartition(
'hi<=p0',
['p0'])
var partitionContainsPoint = genPartition(
'lo<=p0&&p0<=hi',
['p0'])
var partitionContainsPointProper = genPartition(
'lo<p0&&p0<=hi',
['p0'])
//Frame size for iterative loop
var IFRAME_SIZE = 6
var DFRAME_SIZE = 2
//Data for box statck
var INIT_CAPACITY = 1024
var BOX_ISTACK = pool.mallocInt32(INIT_CAPACITY)
var BOX_DSTACK = pool.mallocDouble(INIT_CAPACITY)
//Initialize iterative loop queue
function iterInit(d, count) {
var levels = (8 * bits.log2(count+1) * (d+1))|0
var maxInts = bits.nextPow2(IFRAME_SIZE*levels)
if(BOX_ISTACK.length < maxInts) {
pool.free(BOX_ISTACK)
BOX_ISTACK = pool.mallocInt32(maxInts)
}
var maxDoubles = bits.nextPow2(DFRAME_SIZE*levels)
if(BOX_DSTACK < maxDoubles) {
pool.free(BOX_DSTACK)
BOX_DSTACK = pool.mallocDouble(maxDoubles)
}
}
//Append item to queue
function iterPush(ptr,
axis,
redStart, redEnd,
blueStart, blueEnd,
state,
lo, hi) {
var iptr = IFRAME_SIZE * ptr
BOX_ISTACK[iptr] = axis
BOX_ISTACK[iptr+1] = redStart
BOX_ISTACK[iptr+2] = redEnd
BOX_ISTACK[iptr+3] = blueStart
BOX_ISTACK[iptr+4] = blueEnd
BOX_ISTACK[iptr+5] = state
var dptr = DFRAME_SIZE * ptr
BOX_DSTACK[dptr] = lo
BOX_DSTACK[dptr+1] = hi
}
//Special case: Intersect single point with list of intervals
function onePointPartial(
d, axis, visit, flip,
redStart, redEnd, red, redIndex,
blueOffset, blue, blueId) {
var elemSize = 2 * d
var bluePtr = blueOffset * elemSize
var blueX = blue[bluePtr + axis]
red_loop:
for(var i=redStart, redPtr=redStart*elemSize; i<redEnd; ++i, redPtr+=elemSize) {
var r0 = red[redPtr+axis]
var r1 = red[redPtr+axis+d]
if(blueX < r0 || r1 < blueX) {
continue
}
if(flip && blueX === r0) {
continue
}
var redId = redIndex[i]
for(var j=axis+1; j<d; ++j) {
var r0 = red[redPtr+j]
var r1 = red[redPtr+j+d]
var b0 = blue[bluePtr+j]
var b1 = blue[bluePtr+j+d]
if(r1 < b0 || b1 < r0) {
continue red_loop
}
}
var retval
if(flip) {
retval = visit(blueId, redId)
} else {
retval = visit(redId, blueId)
}
if(retval !== void 0) {
return retval
}
}
}
//Special case: Intersect one point with list of intervals
function onePointFull(
d, axis, visit,
redStart, redEnd, red, redIndex,
blueOffset, blue, blueId) {
var elemSize = 2 * d
var bluePtr = blueOffset * elemSize
var blueX = blue[bluePtr + axis]
red_loop:
for(var i=redStart, redPtr=redStart*elemSize; i<redEnd; ++i, redPtr+=elemSize) {
var redId = redIndex[i]
if(redId === blueId) {
continue
}
var r0 = red[redPtr+axis]
var r1 = red[redPtr+axis+d]
if(blueX < r0 || r1 < blueX) {
continue
}
for(var j=axis+1; j<d; ++j) {
var r0 = red[redPtr+j]
var r1 = red[redPtr+j+d]
var b0 = blue[bluePtr+j]
var b1 = blue[bluePtr+j+d]
if(r1 < b0 || b1 < r0) {
continue red_loop
}
}
var retval = visit(redId, blueId)
if(retval !== void 0) {
return retval
}
}
}
//The main box intersection routine
function boxIntersectIter(
d, visit, initFull,
xSize, xBoxes, xIndex,
ySize, yBoxes, yIndex) {
//Reserve memory for stack
iterInit(d, xSize + ySize)
var top = 0
var elemSize = 2 * d
var retval
iterPush(top++,
0,
0, xSize,
0, ySize,
initFull ? 16 : 0,
-Infinity, Infinity)
if(!initFull) {
iterPush(top++,
0,
0, ySize,
0, xSize,
1,
-Infinity, Infinity)
}
while(top > 0) {
top -= 1
var iptr = top * IFRAME_SIZE
var axis = BOX_ISTACK[iptr]
var redStart = BOX_ISTACK[iptr+1]
var redEnd = BOX_ISTACK[iptr+2]
var blueStart = BOX_ISTACK[iptr+3]
var blueEnd = BOX_ISTACK[iptr+4]
var state = BOX_ISTACK[iptr+5]
var dptr = top * DFRAME_SIZE
var lo = BOX_DSTACK[dptr]
var hi = BOX_DSTACK[dptr+1]
//Unpack state info
var flip = (state & 1)
var full = !!(state & 16)
//Unpack indices
var red = xBoxes
var redIndex = xIndex
var blue = yBoxes
var blueIndex = yIndex
if(flip) {
red = yBoxes
redIndex = yIndex
blue = xBoxes
blueIndex = xIndex
}
if(state & 2) {
redEnd = partitionStartLessThan(
d, axis,
redStart, redEnd, red, redIndex,
hi)
if(redStart >= redEnd) {
continue
}
}
if(state & 4) {
redStart = partitionEndLessThanEqual(
d, axis,
redStart, redEnd, red, redIndex,
lo)
if(redStart >= redEnd) {
continue
}
}
var redCount = redEnd - redStart
var blueCount = blueEnd - blueStart
if(full) {
if(d * redCount * (redCount + blueCount) < SCAN_COMPLETE_CUTOFF) {
retval = sweep.scanComplete(
d, axis, visit,
redStart, redEnd, red, redIndex,
blueStart, blueEnd, blue, blueIndex)
if(retval !== void 0) {
return retval
}
continue
}
} else {
if(d * Math.min(redCount, blueCount) < BRUTE_FORCE_CUTOFF) {
//If input small, then use brute force
retval = bruteForcePartial(
d, axis, visit, flip,
redStart, redEnd, red, redIndex,
blueStart, blueEnd, blue, blueIndex)
if(retval !== void 0) {
return retval
}
continue
} else if(d * redCount * blueCount < SCAN_CUTOFF) {
//If input medium sized, then use sweep and prune
retval = sweep.scanBipartite(
d, axis, visit, flip,
redStart, redEnd, red, redIndex,
blueStart, blueEnd, blue, blueIndex)
if(retval !== void 0) {
return retval
}
continue
}
}
//First, find all red intervals whose interior contains (lo,hi)
var red0 = partitionInteriorContainsInterval(
d, axis,
redStart, redEnd, red, redIndex,
lo, hi)
//Lower dimensional case
if(redStart < red0) {
if(d * (red0 - redStart) < BRUTE_FORCE_CUTOFF) {
//Special case for small inputs: use brute force
retval = bruteForceFull(
d, axis+1, visit,
redStart, red0, red, redIndex,
blueStart, blueEnd, blue, blueIndex)
if(retval !== void 0) {
return retval
}
} else if(axis === d-2) {
if(flip) {
retval = sweep.sweepBipartite(
d, visit,
blueStart, blueEnd, blue, blueIndex,
redStart, red0, red, redIndex)
} else {
retval = sweep.sweepBipartite(
d, visit,
redStart, red0, red, redIndex,
blueStart, blueEnd, blue, blueIndex)
}
if(retval !== void 0) {
return retval
}
} else {
iterPush(top++,
axis+1,
redStart, red0,
blueStart, blueEnd,
flip,
-Infinity, Infinity)
iterPush(top++,
axis+1,
blueStart, blueEnd,
redStart, red0,
flip^1,
-Infinity, Infinity)
}
}
//Divide and conquer phase
if(red0 < redEnd) {
//Cut blue into 3 parts:
//
// Points < mid point
// Points = mid point
// Points > mid point
//
var blue0 = findMedian(
d, axis,
blueStart, blueEnd, blue, blueIndex)
var mid = blue[elemSize * blue0 + axis]
var blue1 = partitionStartEqual(
d, axis,
blue0, blueEnd, blue, blueIndex,
mid)
//Right case
if(blue1 < blueEnd) {
iterPush(top++,
axis,
red0, redEnd,
blue1, blueEnd,
(flip|4) + (full ? 16 : 0),
mid, hi)
}
//Left case
if(blueStart < blue0) {
iterPush(top++,
axis,
red0, redEnd,
blueStart, blue0,
(flip|2) + (full ? 16 : 0),
lo, mid)
}
//Center case (the hard part)
if(blue0 + 1 === blue1) {
//Optimization: Range with exactly 1 point, use a brute force scan
if(full) {
retval = onePointFull(
d, axis, visit,
red0, redEnd, red, redIndex,
blue0, blue, blueIndex[blue0])
} else {
retval = onePointPartial(
d, axis, visit, flip,
red0, redEnd, red, redIndex,
blue0, blue, blueIndex[blue0])
}
if(retval !== void 0) {
return retval
}
} else if(blue0 < blue1) {
var red1
if(full) {
//If full intersection, need to handle special case
red1 = partitionContainsPoint(
d, axis,
red0, redEnd, red, redIndex,
mid)
if(red0 < red1) {
var redX = partitionStartEqual(
d, axis,
red0, red1, red, redIndex,
mid)
if(axis === d-2) {
//Degenerate sweep intersection:
// [red0, redX] with [blue0, blue1]
if(red0 < redX) {
retval = sweep.sweepComplete(
d, visit,
red0, redX, red, redIndex,
blue0, blue1, blue, blueIndex)
if(retval !== void 0) {
return retval
}
}
//Normal sweep intersection:
// [redX, red1] with [blue0, blue1]
if(redX < red1) {
retval = sweep.sweepBipartite(
d, visit,
redX, red1, red, redIndex,
blue0, blue1, blue, blueIndex)
if(retval !== void 0) {
return retval
}
}
} else {
if(red0 < redX) {
iterPush(top++,
axis+1,
red0, redX,
blue0, blue1,
16,
-Infinity, Infinity)
}
if(redX < red1) {
iterPush(top++,
axis+1,
redX, red1,
blue0, blue1,
0,
-Infinity, Infinity)
iterPush(top++,
axis+1,
blue0, blue1,
redX, red1,
1,
-Infinity, Infinity)
}
}
}
} else {
if(flip) {
red1 = partitionContainsPointProper(
d, axis,
red0, redEnd, red, redIndex,
mid)
} else {
red1 = partitionContainsPoint(
d, axis,
red0, redEnd, red, redIndex,
mid)
}
if(red0 < red1) {
if(axis === d-2) {
if(flip) {
retval = sweep.sweepBipartite(
d, visit,
blue0, blue1, blue, blueIndex,
red0, red1, red, redIndex)
} else {
retval = sweep.sweepBipartite(
d, visit,
red0, red1, red, redIndex,
blue0, blue1, blue, blueIndex)
}
} else {
iterPush(top++,
axis+1,
red0, red1,
blue0, blue1,
flip,
-Infinity, Infinity)
iterPush(top++,
axis+1,
blue0, blue1,
red0, red1,
flip^1,
-Infinity, Infinity)
}
}
}
}
}
}
}
},{"./brute":40,"./median":42,"./partition":43,"./sweep":45,"bit-twiddle":36,"typedarray-pool":257}],42:[function(require,module,exports){
'use strict'
module.exports = findMedian
var genPartition = require('./partition')
var partitionStartLessThan = genPartition('lo<p0', ['p0'])
var PARTITION_THRESHOLD = 8 //Cut off for using insertion sort in findMedian
//Base case for median finding: Use insertion sort
function insertionSort(d, axis, start, end, boxes, ids) {
var elemSize = 2 * d
var boxPtr = elemSize * (start+1) + axis
for(var i=start+1; i<end; ++i, boxPtr+=elemSize) {
var x = boxes[boxPtr]
for(var j=i, ptr=elemSize*(i-1);
j>start && boxes[ptr+axis] > x;
--j, ptr-=elemSize) {
//Swap
var aPtr = ptr
var bPtr = ptr+elemSize
for(var k=0; k<elemSize; ++k, ++aPtr, ++bPtr) {
var y = boxes[aPtr]
boxes[aPtr] = boxes[bPtr]
boxes[bPtr] = y
}
var tmp = ids[j]
ids[j] = ids[j-1]
ids[j-1] = tmp
}
}
}
//Find median using quick select algorithm
// takes O(n) time with high probability
function findMedian(d, axis, start, end, boxes, ids) {
if(end <= start+1) {
return start
}
var lo = start
var hi = end
var mid = ((end + start) >>> 1)
var elemSize = 2*d
var pivot = mid
var value = boxes[elemSize*mid+axis]
while(lo < hi) {
if(hi - lo < PARTITION_THRESHOLD) {
insertionSort(d, axis, lo, hi, boxes, ids)
value = boxes[elemSize*mid+axis]
break
}
//Select pivot using median-of-3
var count = hi - lo
var pivot0 = (Math.random()*count+lo)|0
var value0 = boxes[elemSize*pivot0 + axis]
var pivot1 = (Math.random()*count+lo)|0
var value1 = boxes[elemSize*pivot1 + axis]
var pivot2 = (Math.random()*count+lo)|0
var value2 = boxes[elemSize*pivot2 + axis]
if(value0 <= value1) {
if(value2 >= value1) {
pivot = pivot1
value = value1
} else if(value0 >= value2) {
pivot = pivot0
value = value0
} else {
pivot = pivot2
value = value2
}
} else {
if(value1 >= value2) {
pivot = pivot1
value = value1
} else if(value2 >= value0) {
pivot = pivot0
value = value0
} else {
pivot = pivot2
value = value2
}
}
//Swap pivot to end of array
var aPtr = elemSize * (hi-1)
var bPtr = elemSize * pivot
for(var i=0; i<elemSize; ++i, ++aPtr, ++bPtr) {
var x = boxes[aPtr]
boxes[aPtr] = boxes[bPtr]
boxes[bPtr] = x
}
var y = ids[hi-1]
ids[hi-1] = ids[pivot]
ids[pivot] = y
//Partition using pivot
pivot = partitionStartLessThan(
d, axis,
lo, hi-1, boxes, ids,
value)
//Swap pivot back
var aPtr = elemSize * (hi-1)
var bPtr = elemSize * pivot
for(var i=0; i<elemSize; ++i, ++aPtr, ++bPtr) {
var x = boxes[aPtr]
boxes[aPtr] = boxes[bPtr]
boxes[bPtr] = x
}
var y = ids[hi-1]
ids[hi-1] = ids[pivot]
ids[pivot] = y
//Swap pivot to last pivot
if(mid < pivot) {
hi = pivot-1
while(lo < hi &&
boxes[elemSize*(hi-1)+axis] === value) {
hi -= 1
}
hi += 1
} else if(pivot < mid) {
lo = pivot + 1
while(lo < hi &&
boxes[elemSize*lo+axis] === value) {
lo += 1
}
} else {
break
}
}
//Make sure pivot is at start
return partitionStartLessThan(
d, axis,
start, mid, boxes, ids,
boxes[elemSize*mid+axis])
}
},{"./partition":43}],43:[function(require,module,exports){
'use strict'
module.exports = genPartition
var code = 'for(var j=2*a,k=j*c,l=k,m=c,n=b,o=a+b,p=c;d>p;++p,k+=j){var _;if($)if(m===p)m+=1,l+=j;else{for(var s=0;j>s;++s){var t=e[k+s];e[k+s]=e[l],e[l++]=t}var u=f[p];f[p]=f[m],f[m++]=u}}return m'
function genPartition(predicate, args) {
var fargs ='abcdef'.split('').concat(args)
var reads = []
if(predicate.indexOf('lo') >= 0) {
reads.push('lo=e[k+n]')
}
if(predicate.indexOf('hi') >= 0) {
reads.push('hi=e[k+o]')
}
fargs.push(
code.replace('_', reads.join())
.replace('$', predicate))
return Function.apply(void 0, fargs)
}
},{}],44:[function(require,module,exports){
'use strict';
//This code is extracted from ndarray-sort
//It is inlined here as a temporary workaround
module.exports = wrapper;
var INSERT_SORT_CUTOFF = 32
function wrapper(data, n0) {
if (n0 <= 4*INSERT_SORT_CUTOFF) {
insertionSort(0, n0 - 1, data);
} else {
quickSort(0, n0 - 1, data);
}
}
function insertionSort(left, right, data) {
var ptr = 2*(left+1)
for(var i=left+1; i<=right; ++i) {
var a = data[ptr++]
var b = data[ptr++]
var j = i
var jptr = ptr-2
while(j-- > left) {
var x = data[jptr-2]
var y = data[jptr-1]
if(x < a) {
break
} else if(x === a && y < b) {
break
}
data[jptr] = x
data[jptr+1] = y
jptr -= 2
}
data[jptr] = a
data[jptr+1] = b
}
}
function swap(i, j, data) {
i *= 2
j *= 2
var x = data[i]
var y = data[i+1]
data[i] = data[j]
data[i+1] = data[j+1]
data[j] = x
data[j+1] = y
}
function move(i, j, data) {
i *= 2
j *= 2
data[i] = data[j]
data[i+1] = data[j+1]
}
function rotate(i, j, k, data) {
i *= 2
j *= 2
k *= 2
var x = data[i]
var y = data[i+1]
data[i] = data[j]
data[i+1] = data[j+1]
data[j] = data[k]
data[j+1] = data[k+1]
data[k] = x
data[k+1] = y
}
function shufflePivot(i, j, px, py, data) {
i *= 2
j *= 2
data[i] = data[j]
data[j] = px
data[i+1] = data[j+1]
data[j+1] = py
}
function compare(i, j, data) {
i *= 2
j *= 2
var x = data[i],
y = data[j]
if(x < y) {
return false
} else if(x === y) {
return data[i+1] > data[j+1]
}
return true
}
function comparePivot(i, y, b, data) {
i *= 2
var x = data[i]
if(x < y) {
return true
} else if(x === y) {
return data[i+1] < b
}
return false
}
function quickSort(left, right, data) {
var sixth = (right - left + 1) / 6 | 0,
index1 = left + sixth,
index5 = right - sixth,
index3 = left + right >> 1,
index2 = index3 - sixth,
index4 = index3 + sixth,
el1 = index1,
el2 = index2,
el3 = index3,
el4 = index4,
el5 = index5,
less = left + 1,
great = right - 1,
tmp = 0
if(compare(el1, el2, data)) {
tmp = el1
el1 = el2
el2 = tmp
}
if(compare(el4, el5, data)) {
tmp = el4
el4 = el5
el5 = tmp
}
if(compare(el1, el3, data)) {
tmp = el1
el1 = el3
el3 = tmp
}
if(compare(el2, el3, data)) {
tmp = el2
el2 = el3
el3 = tmp
}
if(compare(el1, el4, data)) {
tmp = el1
el1 = el4
el4 = tmp
}
if(compare(el3, el4, data)) {
tmp = el3
el3 = el4
el4 = tmp
}
if(compare(el2, el5, data)) {
tmp = el2
el2 = el5
el5 = tmp
}
if(compare(el2, el3, data)) {
tmp = el2
el2 = el3
el3 = tmp
}
if(compare(el4, el5, data)) {
tmp = el4
el4 = el5
el5 = tmp
}
var pivot1X = data[2*el2]
var pivot1Y = data[2*el2+1]
var pivot2X = data[2*el4]
var pivot2Y = data[2*el4+1]
var ptr0 = 2 * el1;
var ptr2 = 2 * el3;
var ptr4 = 2 * el5;
var ptr5 = 2 * index1;
var ptr6 = 2 * index3;
var ptr7 = 2 * index5;
for (var i1 = 0; i1 < 2; ++i1) {
var x = data[ptr0+i1];
var y = data[ptr2+i1];
var z = data[ptr4+i1];
data[ptr5+i1] = x;
data[ptr6+i1] = y;
data[ptr7+i1] = z;
}
move(index2, left, data)
move(index4, right, data)
for (var k = less; k <= great; ++k) {
if (comparePivot(k, pivot1X, pivot1Y, data)) {
if (k !== less) {
swap(k, less, data)
}
++less;
} else {
if (!comparePivot(k, pivot2X, pivot2Y, data)) {
while (true) {
if (!comparePivot(great, pivot2X, pivot2Y, data)) {
if (--great < k) {
break;
}
continue;
} else {
if (comparePivot(great, pivot1X, pivot1Y, data)) {
rotate(k, less, great, data)
++less;
--great;
} else {
swap(k, great, data)
--great;
}
break;
}
}
}
}
}
shufflePivot(left, less-1, pivot1X, pivot1Y, data)
shufflePivot(right, great+1, pivot2X, pivot2Y, data)
if (less - 2 - left <= INSERT_SORT_CUTOFF) {
insertionSort(left, less - 2, data);
} else {
quickSort(left, less - 2, data);
}
if (right - (great + 2) <= INSERT_SORT_CUTOFF) {
insertionSort(great + 2, right, data);
} else {
quickSort(great + 2, right, data);
}
if (great - less <= INSERT_SORT_CUTOFF) {
insertionSort(less, great, data);
} else {
quickSort(less, great, data);
}
}
},{}],45:[function(require,module,exports){
'use strict'
module.exports = {
init: sqInit,
sweepBipartite: sweepBipartite,
sweepComplete: sweepComplete,
scanBipartite: scanBipartite,
scanComplete: scanComplete
}
var pool = require('typedarray-pool')
var bits = require('bit-twiddle')
var isort = require('./sort')
//Flag for blue
var BLUE_FLAG = (1<<28)
//1D sweep event queue stuff (use pool to save space)
var INIT_CAPACITY = 1024
var RED_SWEEP_QUEUE = pool.mallocInt32(INIT_CAPACITY)
var RED_SWEEP_INDEX = pool.mallocInt32(INIT_CAPACITY)
var BLUE_SWEEP_QUEUE = pool.mallocInt32(INIT_CAPACITY)
var BLUE_SWEEP_INDEX = pool.mallocInt32(INIT_CAPACITY)
var COMMON_SWEEP_QUEUE = pool.mallocInt32(INIT_CAPACITY)
var COMMON_SWEEP_INDEX = pool.mallocInt32(INIT_CAPACITY)
var SWEEP_EVENTS = pool.mallocDouble(INIT_CAPACITY * 8)
//Reserves memory for the 1D sweep data structures
function sqInit(count) {
var rcount = bits.nextPow2(count)
if(RED_SWEEP_QUEUE.length < rcount) {
pool.free(RED_SWEEP_QUEUE)
RED_SWEEP_QUEUE = pool.mallocInt32(rcount)
}
if(RED_SWEEP_INDEX.length < rcount) {
pool.free(RED_SWEEP_INDEX)
RED_SWEEP_INDEX = pool.mallocInt32(rcount)
}
if(BLUE_SWEEP_QUEUE.length < rcount) {
pool.free(BLUE_SWEEP_QUEUE)
BLUE_SWEEP_QUEUE = pool.mallocInt32(rcount)
}
if(BLUE_SWEEP_INDEX.length < rcount) {
pool.free(BLUE_SWEEP_INDEX)
BLUE_SWEEP_INDEX = pool.mallocInt32(rcount)
}
if(COMMON_SWEEP_QUEUE.length < rcount) {
pool.free(COMMON_SWEEP_QUEUE)
COMMON_SWEEP_QUEUE = pool.mallocInt32(rcount)
}
if(COMMON_SWEEP_INDEX.length < rcount) {
pool.free(COMMON_SWEEP_INDEX)
COMMON_SWEEP_INDEX = pool.mallocInt32(rcount)
}
var eventLength = 8 * rcount
if(SWEEP_EVENTS.length < eventLength) {
pool.free(SWEEP_EVENTS)
SWEEP_EVENTS = pool.mallocDouble(eventLength)
}
}
//Remove an item from the active queue in O(1)
function sqPop(queue, index, count, item) {
var idx = index[item]
var top = queue[count-1]
queue[idx] = top
index[top] = idx
}
//Insert an item into the active queue in O(1)
function sqPush(queue, index, count, item) {
queue[count] = item
index[item] = count
}
//Recursion base case: use 1D sweep algorithm
function sweepBipartite(
d, visit,
redStart, redEnd, red, redIndex,
blueStart, blueEnd, blue, blueIndex) {
//store events as pairs [coordinate, idx]
//
// red create: -(idx+1)
// red destroy: idx
// blue create: -(idx+BLUE_FLAG)
// blue destroy: idx+BLUE_FLAG
//
var ptr = 0
var elemSize = 2*d
var istart = d-1
var iend = elemSize-1
for(var i=redStart; i<redEnd; ++i) {
var idx = redIndex[i]
var redOffset = elemSize*i
SWEEP_EVENTS[ptr++] = red[redOffset+istart]
SWEEP_EVENTS[ptr++] = -(idx+1)
SWEEP_EVENTS[ptr++] = red[redOffset+iend]
SWEEP_EVENTS[ptr++] = idx
}
for(var i=blueStart; i<blueEnd; ++i) {
var idx = blueIndex[i]+BLUE_FLAG
var blueOffset = elemSize*i
SWEEP_EVENTS[ptr++] = blue[blueOffset+istart]
SWEEP_EVENTS[ptr++] = -idx
SWEEP_EVENTS[ptr++] = blue[blueOffset+iend]
SWEEP_EVENTS[ptr++] = idx
}
//process events from left->right
var n = ptr >>> 1
isort(SWEEP_EVENTS, n)
var redActive = 0
var blueActive = 0
for(var i=0; i<n; ++i) {
var e = SWEEP_EVENTS[2*i+1]|0
if(e >= BLUE_FLAG) {
//blue destroy event
e = (e-BLUE_FLAG)|0
sqPop(BLUE_SWEEP_QUEUE, BLUE_SWEEP_INDEX, blueActive--, e)
} else if(e >= 0) {
//red destroy event
sqPop(RED_SWEEP_QUEUE, RED_SWEEP_INDEX, redActive--, e)
} else if(e <= -BLUE_FLAG) {
//blue create event
e = (-e-BLUE_FLAG)|0
for(var j=0; j<redActive; ++j) {
var retval = visit(RED_SWEEP_QUEUE[j], e)
if(retval !== void 0) {
return retval
}
}
sqPush(BLUE_SWEEP_QUEUE, BLUE_SWEEP_INDEX, blueActive++, e)
} else {
//red create event
e = (-e-1)|0
for(var j=0; j<blueActive; ++j) {
var retval = visit(e, BLUE_SWEEP_QUEUE[j])
if(retval !== void 0) {
return retval
}
}
sqPush(RED_SWEEP_QUEUE, RED_SWEEP_INDEX, redActive++, e)
}
}
}
//Complete sweep
function sweepComplete(d, visit,
redStart, redEnd, red, redIndex,
blueStart, blueEnd, blue, blueIndex) {
var ptr = 0
var elemSize = 2*d
var istart = d-1
var iend = elemSize-1
for(var i=redStart; i<redEnd; ++i) {
var idx = (redIndex[i]+1)<<1
var redOffset = elemSize*i
SWEEP_EVENTS[ptr++] = red[redOffset+istart]
SWEEP_EVENTS[ptr++] = -idx
SWEEP_EVENTS[ptr++] = red[redOffset+iend]
SWEEP_EVENTS[ptr++] = idx
}
for(var i=blueStart; i<blueEnd; ++i) {
var idx = (blueIndex[i]+1)<<1
var blueOffset = elemSize*i
SWEEP_EVENTS[ptr++] = blue[blueOffset+istart]
SWEEP_EVENTS[ptr++] = (-idx)|1
SWEEP_EVENTS[ptr++] = blue[blueOffset+iend]
SWEEP_EVENTS[ptr++] = idx|1
}
//process events from left->right
var n = ptr >>> 1
isort(SWEEP_EVENTS, n)
var redActive = 0
var blueActive = 0
var commonActive = 0
for(var i=0; i<n; ++i) {
var e = SWEEP_EVENTS[2*i+1]|0
var color = e&1
if(i < n-1 && (e>>1) === (SWEEP_EVENTS[2*i+3]>>1)) {
color = 2
i += 1
}
if(e < 0) {
//Create event
var id = -(e>>1) - 1
//Intersect with common
for(var j=0; j<commonActive; ++j) {
var retval = visit(COMMON_SWEEP_QUEUE[j], id)
if(retval !== void 0) {
return retval
}
}
if(color !== 0) {
//Intersect with red
for(var j=0; j<redActive; ++j) {
var retval = visit(RED_SWEEP_QUEUE[j], id)
if(retval !== void 0) {
return retval
}
}
}
if(color !== 1) {
//Intersect with blue
for(var j=0; j<blueActive; ++j) {
var retval = visit(BLUE_SWEEP_QUEUE[j], id)
if(retval !== void 0) {
return retval
}
}
}
if(color === 0) {
//Red
sqPush(RED_SWEEP_QUEUE, RED_SWEEP_INDEX, redActive++, id)
} else if(color === 1) {
//Blue
sqPush(BLUE_SWEEP_QUEUE, BLUE_SWEEP_INDEX, blueActive++, id)
} else if(color === 2) {
//Both
sqPush(COMMON_SWEEP_QUEUE, COMMON_SWEEP_INDEX, commonActive++, id)
}
} else {
//Destroy event
var id = (e>>1) - 1
if(color === 0) {
//Red
sqPop(RED_SWEEP_QUEUE, RED_SWEEP_INDEX, redActive--, id)
} else if(color === 1) {
//Blue
sqPop(BLUE_SWEEP_QUEUE, BLUE_SWEEP_INDEX, blueActive--, id)
} else if(color === 2) {
//Both
sqPop(COMMON_SWEEP_QUEUE, COMMON_SWEEP_INDEX, commonActive--, id)
}
}
}
}
//Sweep and prune/scanline algorithm:
// Scan along axis, detect intersections
// Brute force all boxes along axis
function scanBipartite(
d, axis, visit, flip,
redStart, redEnd, red, redIndex,
blueStart, blueEnd, blue, blueIndex) {
var ptr = 0
var elemSize = 2*d
var istart = axis
var iend = axis+d
var redShift = 1
var blueShift = 1
if(flip) {
blueShift = BLUE_FLAG
} else {
redShift = BLUE_FLAG
}
for(var i=redStart; i<redEnd; ++i) {
var idx = i + redShift
var redOffset = elemSize*i
SWEEP_EVENTS[ptr++] = red[redOffset+istart]
SWEEP_EVENTS[ptr++] = -idx
SWEEP_EVENTS[ptr++] = red[redOffset+iend]
SWEEP_EVENTS[ptr++] = idx
}
for(var i=blueStart; i<blueEnd; ++i) {
var idx = i + blueShift
var blueOffset = elemSize*i
SWEEP_EVENTS[ptr++] = blue[blueOffset+istart]
SWEEP_EVENTS[ptr++] = -idx
}
//process events from left->right
var n = ptr >>> 1
isort(SWEEP_EVENTS, n)
var redActive = 0
for(var i=0; i<n; ++i) {
var e = SWEEP_EVENTS[2*i+1]|0
if(e < 0) {
var idx = -e
var isRed = false
if(idx >= BLUE_FLAG) {
isRed = !flip
idx -= BLUE_FLAG
} else {
isRed = !!flip
idx -= 1
}
if(isRed) {
sqPush(RED_SWEEP_QUEUE, RED_SWEEP_INDEX, redActive++, idx)
} else {
var blueId = blueIndex[idx]
var bluePtr = elemSize * idx
var b0 = blue[bluePtr+axis+1]
var b1 = blue[bluePtr+axis+1+d]
red_loop:
for(var j=0; j<redActive; ++j) {
var oidx = RED_SWEEP_QUEUE[j]
var redPtr = elemSize * oidx
if(b1 < red[redPtr+axis+1] ||
red[redPtr+axis+1+d] < b0) {
continue
}
for(var k=axis+2; k<d; ++k) {
if(blue[bluePtr + k + d] < red[redPtr + k] ||
red[redPtr + k + d] < blue[bluePtr + k]) {
continue red_loop
}
}
var redId = redIndex[oidx]
var retval
if(flip) {
retval = visit(blueId, redId)
} else {
retval = visit(redId, blueId)
}
if(retval !== void 0) {
return retval
}
}
}
} else {
sqPop(RED_SWEEP_QUEUE, RED_SWEEP_INDEX, redActive--, e - redShift)
}
}
}
function scanComplete(
d, axis, visit,
redStart, redEnd, red, redIndex,
blueStart, blueEnd, blue, blueIndex) {
var ptr = 0
var elemSize = 2*d
var istart = axis
var iend = axis+d
for(var i=redStart; i<redEnd; ++i) {
var idx = i + BLUE_FLAG
var redOffset = elemSize*i
SWEEP_EVENTS[ptr++] = red[redOffset+istart]
SWEEP_EVENTS[ptr++] = -idx
SWEEP_EVENTS[ptr++] = red[redOffset+iend]
SWEEP_EVENTS[ptr++] = idx
}
for(var i=blueStart; i<blueEnd; ++i) {
var idx = i + 1
var blueOffset = elemSize*i
SWEEP_EVENTS[ptr++] = blue[blueOffset+istart]
SWEEP_EVENTS[ptr++] = -idx
}
//process events from left->right
var n = ptr >>> 1
isort(SWEEP_EVENTS, n)
var redActive = 0
for(var i=0; i<n; ++i) {
var e = SWEEP_EVENTS[2*i+1]|0
if(e < 0) {
var idx = -e
if(idx >= BLUE_FLAG) {
RED_SWEEP_QUEUE[redActive++] = idx - BLUE_FLAG
} else {
idx -= 1
var blueId = blueIndex[idx]
var bluePtr = elemSize * idx
var b0 = blue[bluePtr+axis+1]
var b1 = blue[bluePtr+axis+1+d]
red_loop:
for(var j=0; j<redActive; ++j) {
var oidx = RED_SWEEP_QUEUE[j]
var redId = redIndex[oidx]
if(redId === blueId) {
break
}
var redPtr = elemSize * oidx
if(b1 < red[redPtr+axis+1] ||
red[redPtr+axis+1+d] < b0) {
continue
}
for(var k=axis+2; k<d; ++k) {
if(blue[bluePtr + k + d] < red[redPtr + k] ||
red[redPtr + k + d] < blue[bluePtr + k]) {
continue red_loop
}
}
var retval = visit(redId, blueId)
if(retval !== void 0) {
return retval
}
}
}
} else {
var idx = e - BLUE_FLAG
for(var j=redActive-1; j>=0; --j) {
if(RED_SWEEP_QUEUE[j] === idx) {
for(var k=j+1; k<redActive; ++k) {
RED_SWEEP_QUEUE[k-1] = RED_SWEEP_QUEUE[k]
}
break
}
}
--redActive
}
}
}
},{"./sort":44,"bit-twiddle":36,"typedarray-pool":257}],46:[function(require,module,exports){
var size = require('element-size')
module.exports = fit
var scratch = new Float32Array(2)
function fit(canvas, parent, scale) {
var isSVG = canvas.nodeName.toUpperCase() === 'SVG'
canvas.style.position = canvas.style.position || 'absolute'
canvas.style.top = 0
canvas.style.left = 0
resize.scale = parseFloat(scale || 1)
resize.parent = parent
return resize()
function resize() {
var p = resize.parent || canvas.parentNode
if (typeof p === 'function') {
var dims = p(scratch) || scratch
var width = dims[0]
var height = dims[1]
} else
if (p && p !== document.body) {
var psize = size(p)
var width = psize[0]|0
var height = psize[1]|0
} else {
var width = window.innerWidth
var height = window.innerHeight
}
if (isSVG) {
canvas.setAttribute('width', width * resize.scale + 'px')
canvas.setAttribute('height', height * resize.scale + 'px')
} else {
canvas.width = width * resize.scale
canvas.height = height * resize.scale
}
canvas.style.width = width + 'px'
canvas.style.height = height + 'px'
return resize
}
}
},{"element-size":72}],47:[function(require,module,exports){
'use strict'
var monotoneTriangulate = require('./lib/monotone')
var makeIndex = require('./lib/triangulation')
var delaunayFlip = require('./lib/delaunay')
var filterTriangulation = require('./lib/filter')
module.exports = cdt2d
function canonicalizeEdge(e) {
return [Math.min(e[0], e[1]), Math.max(e[0], e[1])]
}
function compareEdge(a, b) {
return a[0]-b[0] || a[1]-b[1]
}
function canonicalizeEdges(edges) {
return edges.map(canonicalizeEdge).sort(compareEdge)
}
function getDefault(options, property, dflt) {
if(property in options) {
return options[property]
}
return dflt
}
function cdt2d(points, edges, options) {
if(!Array.isArray(edges)) {
options = edges || {}
edges = []
} else {
options = options || {}
edges = edges || []
}
//Parse out options
var delaunay = !!getDefault(options, 'delaunay', true)
var interior = !!getDefault(options, 'interior', true)
var exterior = !!getDefault(options, 'exterior', true)
var infinity = !!getDefault(options, 'infinity', false)
//Handle trivial case
if((!interior && !exterior) || points.length === 0) {
return []
}
//Construct initial triangulation
var cells = monotoneTriangulate(points, edges)
//If delaunay refinement needed, then improve quality by edge flipping
if(delaunay || interior !== exterior || infinity) {
//Index all of the cells to support fast neighborhood queries
var triangulation = makeIndex(points.length, canonicalizeEdges(edges))
for(var i=0; i<cells.length; ++i) {
var f = cells[i]
triangulation.addTriangle(f[0], f[1], f[2])
}
//Run edge flipping
if(delaunay) {
delaunayFlip(points, triangulation)
}
//Filter points
if(!exterior) {
return filterTriangulation(triangulation, -1)
} else if(!interior) {
return filterTriangulation(triangulation, 1, infinity)
} else if(infinity) {
return filterTriangulation(triangulation, 0, infinity)
} else {
return triangulation.cells()
}
} else {
return cells
}
}
},{"./lib/delaunay":48,"./lib/filter":49,"./lib/monotone":50,"./lib/triangulation":51}],48:[function(require,module,exports){
'use strict'
var inCircle = require('robust-in-sphere')[4]
var bsearch = require('binary-search-bounds')
module.exports = delaunayRefine
function testFlip(points, triangulation, stack, a, b, x) {
var y = triangulation.opposite(a, b)
//Test boundary edge
if(y < 0) {
return
}
//Swap edge if order flipped
if(b < a) {
var tmp = a
a = b
b = tmp
tmp = x
x = y
y = tmp
}
//Test if edge is constrained
if(triangulation.isConstraint(a, b)) {
return
}
//Test if edge is delaunay
if(inCircle(points[a], points[b], points[x], points[y]) < 0) {
stack.push(a, b)
}
}
//Assume edges are sorted lexicographically
function delaunayRefine(points, triangulation) {
var stack = []
var numPoints = points.length
var stars = triangulation.stars
for(var a=0; a<numPoints; ++a) {
var star = stars[a]
for(var j=1; j<star.length; j+=2) {
var b = star[j]
//If order is not consistent, then skip edge
if(b < a) {
continue
}
//Check if edge is constrained
if(triangulation.isConstraint(a, b)) {
continue
}
//Find opposite edge
var x = star[j-1], y = -1
for(var k=1; k<star.length; k+=2) {
if(star[k-1] === b) {
y = star[k]
break
}
}
//If this is a boundary edge, don't flip it
if(y < 0) {
continue
}
//If edge is in circle, flip it
if(inCircle(points[a], points[b], points[x], points[y]) < 0) {
stack.push(a, b)
}
}
}
while(stack.length > 0) {
var b = stack.pop()
var a = stack.pop()
//Find opposite pairs
var x = -1, y = -1
var star = stars[a]
for(var i=1; i<star.length; i+=2) {
var s = star[i-1]
var t = star[i]
if(s === b) {
y = t
} else if(t === b) {
x = s
}
}
//If x/y are both valid then skip edge
if(x < 0 || y < 0) {
continue
}
//If edge is now delaunay, then don't flip it
if(inCircle(points[a], points[b], points[x], points[y]) >= 0) {
continue
}
//Flip the edge
triangulation.flip(a, b)
//Test flipping neighboring edges
testFlip(points, triangulation, stack, x, a, y)
testFlip(points, triangulation, stack, a, y, x)
testFlip(points, triangulation, stack, y, b, x)
testFlip(points, triangulation, stack, b, x, y)
}
}
},{"binary-search-bounds":52,"robust-in-sphere":232}],49:[function(require,module,exports){
'use strict'
var bsearch = require('binary-search-bounds')
module.exports = classifyFaces
function FaceIndex(cells, neighbor, constraint, flags, active, next, boundary) {
this.cells = cells
this.neighbor = neighbor
this.flags = flags
this.constraint = constraint
this.active = active
this.next = next
this.boundary = boundary
}
var proto = FaceIndex.prototype
function compareCell(a, b) {
return a[0] - b[0] ||
a[1] - b[1] ||
a[2] - b[2]
}
proto.locate = (function() {
var key = [0,0,0]
return function(a, b, c) {
var x = a, y = b, z = c
if(b < c) {
if(b < a) {
x = b
y = c
z = a
}
} else if(c < a) {
x = c
y = a
z = b
}
if(x < 0) {
return -1
}
key[0] = x
key[1] = y
key[2] = z
return bsearch.eq(this.cells, key, compareCell)
}
})()
function indexCells(triangulation, infinity) {
//First get cells and canonicalize
var cells = triangulation.cells()
var nc = cells.length
for(var i=0; i<nc; ++i) {
var c = cells[i]
var x = c[0], y = c[1], z = c[2]
if(y < z) {
if(y < x) {
c[0] = y
c[1] = z
c[2] = x
}
} else if(z < x) {
c[0] = z
c[1] = x
c[2] = y
}
}
cells.sort(compareCell)
//Initialize flag array
var flags = new Array(nc)
for(var i=0; i<flags.length; ++i) {
flags[i] = 0
}
//Build neighbor index, initialize queues
var active = []
var next = []
var neighbor = new Array(3*nc)
var constraint = new Array(3*nc)
var boundary = null
if(infinity) {
boundary = []
}
var index = new FaceIndex(
cells,
neighbor,
constraint,
flags,
active,
next,
boundary)
for(var i=0; i<nc; ++i) {
var c = cells[i]
for(var j=0; j<3; ++j) {
var x = c[j], y = c[(j+1)%3]
var a = neighbor[3*i+j] = index.locate(y, x, triangulation.opposite(y, x))
var b = constraint[3*i+j] = triangulation.isConstraint(x, y)
if(a < 0) {
if(b) {
next.push(i)
} else {
active.push(i)
flags[i] = 1
}
if(infinity) {
boundary.push([y, x, -1])
}
}
}
}
return index
}
function filterCells(cells, flags, target) {
var ptr = 0
for(var i=0; i<cells.length; ++i) {
if(flags[i] === target) {
cells[ptr++] = cells[i]
}
}
cells.length = ptr
return cells
}
function classifyFaces(triangulation, target, infinity) {
var index = indexCells(triangulation, infinity)
if(target === 0) {
if(infinity) {
return index.cells.concat(index.boundary)
} else {
return index.cells
}
}
var side = 1
var active = index.active
var next = index.next
var flags = index.flags
var cells = index.cells
var constraint = index.constraint
var neighbor = index.neighbor
while(active.length > 0 || next.length > 0) {
while(active.length > 0) {
var t = active.pop()
if(flags[t] === -side) {
continue
}
flags[t] = side
var c = cells[t]
for(var j=0; j<3; ++j) {
var f = neighbor[3*t+j]
if(f >= 0 && flags[f] === 0) {
if(constraint[3*t+j]) {
next.push(f)
} else {
active.push(f)
flags[f] = side
}
}
}
}
//Swap arrays and loop
var tmp = next
next = active
active = tmp
next.length = 0
side = -side
}
var result = filterCells(cells, flags, target)
if(infinity) {
return result.concat(index.boundary)
}
return result
}
},{"binary-search-bounds":52}],50:[function(require,module,exports){
'use strict'
var bsearch = require('binary-search-bounds')
var orient = require('robust-orientation')[3]
var EVENT_POINT = 0
var EVENT_END = 1
var EVENT_START = 2
module.exports = monotoneTriangulate
//A partial convex hull fragment, made of two unimonotone polygons
function PartialHull(a, b, idx, lowerIds, upperIds) {
this.a = a
this.b = b
this.idx = idx
this.lowerIds = lowerIds
this.upperIds = upperIds
}
//An event in the sweep line procedure
function Event(a, b, type, idx) {
this.a = a
this.b = b
this.type = type
this.idx = idx
}
//This is used to compare events for the sweep line procedure
// Points are:
// 1. sorted lexicographically
// 2. sorted by type (point < end < start)
// 3. segments sorted by winding order
// 4. sorted by index
function compareEvent(a, b) {
var d =
(a.a[0] - b.a[0]) ||
(a.a[1] - b.a[1]) ||
(a.type - b.type)
if(d) { return d }
if(a.type !== EVENT_POINT) {
d = orient(a.a, a.b, b.b)
if(d) { return d }
}
return a.idx - b.idx
}
function testPoint(hull, p) {
return orient(hull.a, hull.b, p)
}
function addPoint(cells, hulls, points, p, idx) {
var lo = bsearch.lt(hulls, p, testPoint)
var hi = bsearch.gt(hulls, p, testPoint)
for(var i=lo; i<hi; ++i) {
var hull = hulls[i]
//Insert p into lower hull
var lowerIds = hull.lowerIds
var m = lowerIds.length
while(m > 1 && orient(
points[lowerIds[m-2]],
points[lowerIds[m-1]],
p) > 0) {
cells.push(
[lowerIds[m-1],
lowerIds[m-2],
idx])
m -= 1
}
lowerIds.length = m
lowerIds.push(idx)
//Insert p into upper hull
var upperIds = hull.upperIds
var m = upperIds.length
while(m > 1 && orient(
points[upperIds[m-2]],
points[upperIds[m-1]],
p) < 0) {
cells.push(
[upperIds[m-2],
upperIds[m-1],
idx])
m -= 1
}
upperIds.length = m
upperIds.push(idx)
}
}
function findSplit(hull, edge) {
var d
if(hull.a[0] < edge.a[0]) {
d = orient(hull.a, hull.b, edge.a)
} else {
d = orient(edge.b, edge.a, hull.a)
}
if(d) { return d }
if(edge.b[0] < hull.b[0]) {
d = orient(hull.a, hull.b, edge.b)
} else {
d = orient(edge.b, edge.a, hull.b)
}
return d || hull.idx - edge.idx
}
function splitHulls(hulls, points, event) {
var splitIdx = bsearch.le(hulls, event, findSplit)
var hull = hulls[splitIdx]
var upperIds = hull.upperIds
var x = upperIds[upperIds.length-1]
hull.upperIds = [x]
hulls.splice(splitIdx+1, 0,
new PartialHull(event.a, event.b, event.idx, [x], upperIds))
}
function mergeHulls(hulls, points, event) {
//Swap pointers for merge search
var tmp = event.a
event.a = event.b
event.b = tmp
var mergeIdx = bsearch.eq(hulls, event, findSplit)
var upper = hulls[mergeIdx]
var lower = hulls[mergeIdx-1]
lower.upperIds = upper.upperIds
hulls.splice(mergeIdx, 1)
}
function monotoneTriangulate(points, edges) {
var numPoints = points.length
var numEdges = edges.length
var events = []
//Create point events
for(var i=0; i<numPoints; ++i) {
events.push(new Event(
points[i],
null,
EVENT_POINT,
i))
}
//Create edge events
for(var i=0; i<numEdges; ++i) {
var e = edges[i]
var a = points[e[0]]
var b = points[e[1]]
if(a[0] < b[0]) {
events.push(
new Event(a, b, EVENT_START, i),
new Event(b, a, EVENT_END, i))
} else if(a[0] > b[0]) {
events.push(
new Event(b, a, EVENT_START, i),
new Event(a, b, EVENT_END, i))
}
}
//Sort events
events.sort(compareEvent)
//Initialize hull
var minX = events[0].a[0] - (1 + Math.abs(events[0].a[0])) * Math.pow(2, -52)
var hull = [ new PartialHull([minX, 1], [minX, 0], -1, [], [], [], []) ]
//Process events in order
var cells = []
for(var i=0, numEvents=events.length; i<numEvents; ++i) {
var event = events[i]
var type = event.type
if(type === EVENT_POINT) {
addPoint(cells, hull, points, event.a, event.idx)
} else if(type === EVENT_START) {
splitHulls(hull, points, event)
} else {
mergeHulls(hull, points, event)
}
}
//Return triangulation
return cells
}
},{"binary-search-bounds":52,"robust-orientation":234}],51:[function(require,module,exports){
'use strict'
var bsearch = require('binary-search-bounds')
module.exports = createTriangulation
function Triangulation(stars, edges) {
this.stars = stars
this.edges = edges
}
var proto = Triangulation.prototype
function removePair(list, j, k) {
for(var i=1, n=list.length; i<n; i+=2) {
if(list[i-1] === j && list[i] === k) {
list[i-1] = list[n-2]
list[i] = list[n-1]
list.length = n - 2
return
}
}
}
proto.isConstraint = (function() {
var e = [0,0]
function compareLex(a, b) {
return a[0] - b[0] || a[1] - b[1]
}
return function(i, j) {
e[0] = Math.min(i,j)
e[1] = Math.max(i,j)
return bsearch.eq(this.edges, e, compareLex) >= 0
}
})()
proto.removeTriangle = function(i, j, k) {
var stars = this.stars
removePair(stars[i], j, k)
removePair(stars[j], k, i)
removePair(stars[k], i, j)
}
proto.addTriangle = function(i, j, k) {
var stars = this.stars
stars[i].push(j, k)
stars[j].push(k, i)
stars[k].push(i, j)
}
proto.opposite = function(j, i) {
var list = this.stars[i]
for(var k=1, n=list.length; k<n; k+=2) {
if(list[k] === j) {
return list[k-1]
}
}
return -1
}
proto.flip = function(i, j) {
var a = this.opposite(i, j)
var b = this.opposite(j, i)
this.removeTriangle(i, j, a)
this.removeTriangle(j, i, b)
this.addTriangle(i, b, a)
this.addTriangle(j, a, b)
}
proto.edges = function() {
var stars = this.stars
var result = []
for(var i=0, n=stars.length; i<n; ++i) {
var list = stars[i]
for(var j=0, m=list.length; j<m; j+=2) {
result.push([list[j], list[j+1]])
}
}
return result
}
proto.cells = function() {
var stars = this.stars
var result = []
for(var i=0, n=stars.length; i<n; ++i) {
var list = stars[i]
for(var j=0, m=list.length; j<m; j+=2) {
var s = list[j]
var t = list[j+1]
if(i < Math.min(s, t)) {
result.push([i, s, t])
}
}
}
return result
}
function createTriangulation(numVerts, edges) {
var stars = new Array(numVerts)
for(var i=0; i<numVerts; ++i) {
stars[i] = []
}
return new Triangulation(stars, edges)
}
},{"binary-search-bounds":52}],52:[function(require,module,exports){
"use strict"
function compileSearch(funcName, predicate, reversed, extraArgs, earlyOut) {
var code = [
"function ", funcName, "(a,l,h,", extraArgs.join(","), "){",
earlyOut ? "" : "var i=", (reversed ? "l-1" : "h+1"),
";while(l<=h){\
var m=(l+h)>>>1,x=a[m]"]
if(earlyOut) {
if(predicate.indexOf("c") < 0) {
code.push(";if(x===y){return m}else if(x<=y){")
} else {
code.push(";var p=c(x,y);if(p===0){return m}else if(p<=0){")
}
} else {
code.push(";if(", predicate, "){i=m;")
}
if(reversed) {
code.push("l=m+1}else{h=m-1}")
} else {
code.push("h=m-1}else{l=m+1}")
}
code.push("}")
if(earlyOut) {
code.push("return -1};")
} else {
code.push("return i};")
}
return code.join("")
}
function compileBoundsSearch(predicate, reversed, suffix, earlyOut) {
var result = new Function([
compileSearch("A", "x" + predicate + "y", reversed, ["y"], earlyOut),
compileSearch("P", "c(x,y)" + predicate + "0", reversed, ["y", "c"], earlyOut),
"function dispatchBsearch", suffix, "(a,y,c,l,h){\
if(typeof(c)==='function'){\
return P(a,(l===void 0)?0:l|0,(h===void 0)?a.length-1:h|0,y,c)\
}else{\
return A(a,(c===void 0)?0:c|0,(l===void 0)?a.length-1:l|0,y)\
}}\
return dispatchBsearch", suffix].join(""))
return result()
}
module.exports = {
ge: compileBoundsSearch(">=", false, "GE"),
gt: compileBoundsSearch(">", false, "GT"),
lt: compileBoundsSearch("<", true, "LT"),
le: compileBoundsSearch("<=", true, "LE"),
eq: compileBoundsSearch("-", true, "EQ", true)
}
},{}],53:[function(require,module,exports){
'use strict'
module.exports = cleanPSLG
var UnionFind = require('union-find')
var boxIntersect = require('box-intersect')
var segseg = require('robust-segment-intersect')
var rat = require('big-rat')
var ratCmp = require('big-rat/cmp')
var ratToFloat = require('big-rat/to-float')
var ratVec = require('rat-vec')
var nextafter = require('nextafter')
var solveIntersection = require('./lib/rat-seg-intersect')
// Bounds on a rational number when rounded to a float
function boundRat (r) {
var f = ratToFloat(r)
return [
nextafter(f, -Infinity),
nextafter(f, Infinity)
]
}
// Convert a list of edges in a pslg to bounding boxes
function boundEdges (points, edges) {
var bounds = new Array(edges.length)
for (var i = 0; i < edges.length; ++i) {
var e = edges[i]
var a = points[e[0]]
var b = points[e[1]]
bounds[i] = [
nextafter(Math.min(a[0], b[0]), -Infinity),
nextafter(Math.min(a[1], b[1]), -Infinity),
nextafter(Math.max(a[0], b[0]), Infinity),
nextafter(Math.max(a[1], b[1]), Infinity)
]
}
return bounds
}
// Convert a list of points into bounding boxes by duplicating coords
function boundPoints (points) {
var bounds = new Array(points.length)
for (var i = 0; i < points.length; ++i) {
var p = points[i]
bounds[i] = [
nextafter(p[0], -Infinity),
nextafter(p[1], -Infinity),
nextafter(p[0], Infinity),
nextafter(p[1], Infinity)
]
}
return bounds
}
// Find all pairs of crossing edges in a pslg (given edge bounds)
function getCrossings (points, edges, edgeBounds) {
var result = []
boxIntersect(edgeBounds, function (i, j) {
var e = edges[i]
var f = edges[j]
if (e[0] === f[0] || e[0] === f[1] ||
e[1] === f[0] || e[1] === f[1]) {
return
}
var a = points[e[0]]
var b = points[e[1]]
var c = points[f[0]]
var d = points[f[1]]
if (segseg(a, b, c, d)) {
result.push([i, j])
}
})
return result
}
// Find all pairs of crossing vertices in a pslg (given edge/vert bounds)
function getTJunctions (points, edges, edgeBounds, vertBounds) {
var result = []
boxIntersect(edgeBounds, vertBounds, function (i, v) {
var e = edges[i]
if (e[0] === v || e[1] === v) {
return
}
var p = points[v]
var a = points[e[0]]
var b = points[e[1]]
if (segseg(a, b, p, p)) {
result.push([i, v])
}
})
return result
}
// Cut edges along crossings/tjunctions
function cutEdges (floatPoints, edges, crossings, junctions, useColor) {
var i, e
// Convert crossings into tjunctions by constructing rational points
var ratPoints = floatPoints.map(function(p) {
return [
rat(p[0]),
rat(p[1])
]
})
for (i = 0; i < crossings.length; ++i) {
var crossing = crossings[i]
e = crossing[0]
var f = crossing[1]
var ee = edges[e]
var ef = edges[f]
var x = solveIntersection(
ratVec(floatPoints[ee[0]]),
ratVec(floatPoints[ee[1]]),
ratVec(floatPoints[ef[0]]),
ratVec(floatPoints[ef[1]]))
if (!x) {
// Segments are parallel, should already be handled by t-junctions
continue
}
var idx = floatPoints.length
floatPoints.push([ratToFloat(x[0]), ratToFloat(x[1])])
ratPoints.push(x)
junctions.push([e, idx], [f, idx])
}
// Sort tjunctions
junctions.sort(function (a, b) {
if (a[0] !== b[0]) {
return a[0] - b[0]
}
var u = ratPoints[a[1]]
var v = ratPoints[b[1]]
return ratCmp(u[0], v[0]) || ratCmp(u[1], v[1])
})
// Split edges along junctions
for (i = junctions.length - 1; i >= 0; --i) {
var junction = junctions[i]
e = junction[0]
var edge = edges[e]
var s = edge[0]
var t = edge[1]
// Check if edge is not lexicographically sorted
var a = floatPoints[s]
var b = floatPoints[t]
if (((a[0] - b[0]) || (a[1] - b[1])) < 0) {
var tmp = s
s = t
t = tmp
}
// Split leading edge
edge[0] = s
var last = edge[1] = junction[1]
// If we are grouping edges by color, remember to track data
var color
if (useColor) {
color = edge[2]
}
// Split other edges
while (i > 0 && junctions[i - 1][0] === e) {
var junction = junctions[--i]
var next = junction[1]
if (useColor) {
edges.push([last, next, color])
} else {
edges.push([last, next])
}
last = next
}
// Add final edge
if (useColor) {
edges.push([last, t, color])
} else {
edges.push([last, t])
}
}
// Return constructed rational points
return ratPoints
}
// Merge overlapping points
function dedupPoints (floatPoints, ratPoints, floatBounds) {
var numPoints = ratPoints.length
var uf = new UnionFind(numPoints)
// Compute rational bounds
var bounds = []
for (var i = 0; i < ratPoints.length; ++i) {
var p = ratPoints[i]
var xb = boundRat(p[0])
var yb = boundRat(p[1])
bounds.push([
nextafter(xb[0], -Infinity),
nextafter(yb[0], -Infinity),
nextafter(xb[1], Infinity),
nextafter(yb[1], Infinity)
])
}
// Link all points with over lapping boxes
boxIntersect(bounds, function (i, j) {
uf.link(i, j)
})
// Do 1 pass over points to combine points in label sets
var noDupes = true
var labels = new Array(numPoints)
for (var i = 0; i < numPoints; ++i) {
var j = uf.find(i)
if (j !== i) {
// Clear no-dupes flag, zero out label
noDupes = false
// Make each point the top-left point from its cell
floatPoints[j] = [
Math.min(floatPoints[i][0], floatPoints[j][0]),
Math.min(floatPoints[i][1], floatPoints[j][1])
]
}
}
// If no duplicates, return null to signal termination
if (noDupes) {
return null
}
var ptr = 0
for (var i = 0; i < numPoints; ++i) {
var j = uf.find(i)
if (j === i) {
labels[i] = ptr
floatPoints[ptr++] = floatPoints[i]
} else {
labels[i] = -1
}
}
floatPoints.length = ptr
// Do a second pass to fix up missing labels
for (var i = 0; i < numPoints; ++i) {
if (labels[i] < 0) {
labels[i] = labels[uf.find(i)]
}
}
// Return resulting union-find data structure
return labels
}
function compareLex2 (a, b) { return (a[0] - b[0]) || (a[1] - b[1]) }
function compareLex3 (a, b) {
var d = (a[0] - b[0]) || (a[1] - b[1])
if (d) {
return d
}
if (a[2] < b[2]) {
return -1
} else if (a[2] > b[2]) {
return 1
}
return 0
}
// Remove duplicate edge labels
function dedupEdges (edges, labels, useColor) {
if (edges.length === 0) {
return
}
if (labels) {
for (var i = 0; i < edges.length; ++i) {
var e = edges[i]
var a = labels[e[0]]
var b = labels[e[1]]
e[0] = Math.min(a, b)
e[1] = Math.max(a, b)
}
} else {
for (var i = 0; i < edges.length; ++i) {
var e = edges[i]
var a = e[0]
var b = e[1]
e[0] = Math.min(a, b)
e[1] = Math.max(a, b)
}
}
if (useColor) {
edges.sort(compareLex3)
} else {
edges.sort(compareLex2)
}
var ptr = 1
for (var i = 1; i < edges.length; ++i) {
var prev = edges[i - 1]
var next = edges[i]
if (next[0] === prev[0] && next[1] === prev[1] &&
(!useColor || next[2] === prev[2])) {
continue
}
edges[ptr++] = next
}
edges.length = ptr
}
function preRound (points, edges, useColor) {
var labels = dedupPoints(points, [], boundPoints(points))
dedupEdges(edges, labels, useColor)
return !!labels
}
// Repeat until convergence
function snapRound (points, edges, useColor) {
// 1. find edge crossings
var edgeBounds = boundEdges(points, edges)
var crossings = getCrossings(points, edges, edgeBounds)
// 2. find t-junctions
var vertBounds = boundPoints(points)
var tjunctions = getTJunctions(points, edges, edgeBounds, vertBounds)
// 3. cut edges, construct rational points
var ratPoints = cutEdges(points, edges, crossings, tjunctions, useColor)
// 4. dedupe verts
var labels = dedupPoints(points, ratPoints, vertBounds)
// 5. dedupe edges
dedupEdges(edges, labels, useColor)
// 6. check termination
if (!labels) {
return (crossings.length > 0 || tjunctions.length > 0)
}
// More iterations necessary
return true
}
// Main loop, runs PSLG clean up until completion
function cleanPSLG (points, edges, colors) {
// If using colors, augment edges with color data
var prevEdges
if (colors) {
prevEdges = edges
var augEdges = new Array(edges.length)
for (var i = 0; i < edges.length; ++i) {
var e = edges[i]
augEdges[i] = [e[0], e[1], colors[i]]
}
edges = augEdges
}
// First round: remove duplicate edges and points
var modified = preRound(points, edges, !!colors)
// Run snap rounding until convergence
while (snapRound(points, edges, !!colors)) {
modified = true
}
// Strip color tags
if (!!colors && modified) {
prevEdges.length = 0
colors.length = 0
for (var i = 0; i < edges.length; ++i) {
var e = edges[i]
prevEdges.push([e[0], e[1]])
colors.push(e[2])
}
}
return modified
}
},{"./lib/rat-seg-intersect":54,"big-rat":22,"big-rat/cmp":20,"big-rat/to-float":34,"box-intersect":39,"nextafter":209,"rat-vec":224,"robust-segment-intersect":237,"union-find":258}],54:[function(require,module,exports){
'use strict'
module.exports = solveIntersection
var ratMul = require('big-rat/mul')
var ratDiv = require('big-rat/div')
var ratSub = require('big-rat/sub')
var ratSign = require('big-rat/sign')
var rvSub = require('rat-vec/sub')
var rvAdd = require('rat-vec/add')
var rvMuls = require('rat-vec/muls')
function ratPerp (a, b) {
return ratSub(ratMul(a[0], b[1]), ratMul(a[1], b[0]))
}
// Solve for intersection
// x = a + t (b-a)
// (x - c) ^ (d-c) = 0
// (t * (b-a) + (a-c) ) ^ (d-c) = 0
// t * (b-a)^(d-c) = (d-c)^(a-c)
// t = (d-c)^(a-c) / (b-a)^(d-c)
function solveIntersection (a, b, c, d) {
var ba = rvSub(b, a)
var dc = rvSub(d, c)
var baXdc = ratPerp(ba, dc)
if (ratSign(baXdc) === 0) {
return null
}
var ac = rvSub(a, c)
var dcXac = ratPerp(dc, ac)
var t = ratDiv(dcXac, baXdc)
var s = rvMuls(ba, t)
var r = rvAdd(a, s)
return r
}
},{"big-rat/div":21,"big-rat/mul":31,"big-rat/sign":32,"big-rat/sub":33,"rat-vec/add":223,"rat-vec/muls":225,"rat-vec/sub":226}],55:[function(require,module,exports){
(function (Buffer){
var clone = (function() {
'use strict';
/**
* Clones (copies) an Object using deep copying.
*
* This function supports circular references by default, but if you are certain
* there are no circular references in your object, you can save some CPU time
* by calling clone(obj, false).
*
* Caution: if `circular` is false and `parent` contains circular references,
* your program may enter an infinite loop and crash.
*
* @param `parent` - the object to be cloned
* @param `circular` - set to true if the object to be cloned may contain
* circular references. (optional - true by default)
* @param `depth` - set to a number if the object is only to be cloned to
* a particular depth. (optional - defaults to Infinity)
* @param `prototype` - sets the prototype to be used when cloning an object.
* (optional - defaults to parent prototype).
*/
function clone(parent, circular, depth, prototype) {
var filter;
if (typeof circular === 'object') {
depth = circular.depth;
prototype = circular.prototype;
filter = circular.filter;
circular = circular.circular
}
// maintain two arrays for circular references, where corresponding parents
// and children have the same index
var allParents = [];
var allChildren = [];
var useBuffer = typeof Buffer != 'undefined';
if (typeof circular == 'undefined')
circular = true;
if (typeof depth == 'undefined')
depth = Infinity;
// recurse this function so we don't reset allParents and allChildren
function _clone(parent, depth) {
// cloning null always returns null
if (parent === null)
return null;
if (depth == 0)
return parent;
var child;
var proto;
if (typeof parent != 'object') {
return parent;
}
if (clone.__isArray(parent)) {
child = [];
} else if (clone.__isRegExp(parent)) {
child = new RegExp(parent.source, __getRegExpFlags(parent));
if (parent.lastIndex) child.lastIndex = parent.lastIndex;
} else if (clone.__isDate(parent)) {
child = new Date(parent.getTime());
} else if (useBuffer && Buffer.isBuffer(parent)) {
child = new Buffer(parent.length);
parent.copy(child);
return child;
} else {
if (typeof prototype == 'undefined') {
proto = Object.getPrototypeOf(parent);
child = Object.create(proto);
}
else {
child = Object.create(prototype);
proto = prototype;
}
}
if (circular) {
var index = allParents.indexOf(parent);
if (index != -1) {
return allChildren[index];
}
allParents.push(parent);
allChildren.push(child);
}
for (var i in parent) {
var attrs;
if (proto) {
attrs = Object.getOwnPropertyDescriptor(proto, i);
}
if (attrs && attrs.set == null) {
continue;
}
child[i] = _clone(parent[i], depth - 1);
}
return child;
}
return _clone(parent, depth);
}
/**
* Simple flat clone using prototype, accepts only objects, usefull for property
* override on FLAT configuration object (no nested props).
*
* USE WITH CAUTION! This may not behave as you wish if you do not know how this
* works.
*/
clone.clonePrototype = function clonePrototype(parent) {
if (parent === null)
return null;
var c = function () {};
c.prototype = parent;
return new c();
};
// private utility functions
function __objToStr(o) {
return Object.prototype.toString.call(o);
};
clone.__objToStr = __objToStr;
function __isDate(o) {
return typeof o === 'object' && __objToStr(o) === '[object Date]';
};
clone.__isDate = __isDate;
function __isArray(o) {
return typeof o === 'object' && __objToStr(o) === '[object Array]';
};
clone.__isArray = __isArray;
function __isRegExp(o) {
return typeof o === 'object' && __objToStr(o) === '[object RegExp]';
};
clone.__isRegExp = __isRegExp;
function __getRegExpFlags(re) {
var flags = '';
if (re.global) flags += 'g';
if (re.ignoreCase) flags += 'i';
if (re.multiline) flags += 'm';
return flags;
};
clone.__getRegExpFlags = __getRegExpFlags;
return clone;
})();
if (typeof module === 'object' && module.exports) {
module.exports = clone;
}
}).call(this,require("buffer").Buffer)
},{"buffer":3}],56:[function(require,module,exports){
module.exports={
"jet":[{"index":0,"rgb":[0,0,131]},{"index":0.125,"rgb":[0,60,170]},{"index":0.375,"rgb":[5,255,255]},{"index":0.625,"rgb":[255,255,0]},{"index":0.875,"rgb":[250,0,0]},{"index":1,"rgb":[128,0,0]}],
"hsv":[{"index":0,"rgb":[255,0,0]},{"index":0.169,"rgb":[253,255,2]},{"index":0.173,"rgb":[247,255,2]},{"index":0.337,"rgb":[0,252,4]},{"index":0.341,"rgb":[0,252,10]},{"index":0.506,"rgb":[1,249,255]},{"index":0.671,"rgb":[2,0,253]},{"index":0.675,"rgb":[8,0,253]},{"index":0.839,"rgb":[255,0,251]},{"index":0.843,"rgb":[255,0,245]},{"index":1,"rgb":[255,0,6]}],
"hot":[{"index":0,"rgb":[0,0,0]},{"index":0.3,"rgb":[230,0,0]},{"index":0.6,"rgb":[255,210,0]},{"index":1,"rgb":[255,255,255]}],
"cool":[{"index":0,"rgb":[0,255,255]},{"index":1,"rgb":[255,0,255]}],
"spring":[{"index":0,"rgb":[255,0,255]},{"index":1,"rgb":[255,255,0]}],
"summer":[{"index":0,"rgb":[0,128,102]},{"index":1,"rgb":[255,255,102]}],
"autumn":[{"index":0,"rgb":[255,0,0]},{"index":1,"rgb":[255,255,0]}],
"winter":[{"index":0,"rgb":[0,0,255]},{"index":1,"rgb":[0,255,128]}],
"bone":[{"index":0,"rgb":[0,0,0]},{"index":0.376,"rgb":[84,84,116]},{"index":0.753,"rgb":[169,200,200]},{"index":1,"rgb":[255,255,255]}],
"copper":[{"index":0,"rgb":[0,0,0]},{"index":0.804,"rgb":[255,160,102]},{"index":1,"rgb":[255,199,127]}],
"greys":[{"index":0,"rgb":[0,0,0]},{"index":1,"rgb":[255,255,255]}],
"yignbu":[{"index":0,"rgb":[8,29,88]},{"index":0.125,"rgb":[37,52,148]},{"index":0.25,"rgb":[34,94,168]},{"index":0.375,"rgb":[29,145,192]},{"index":0.5,"rgb":[65,182,196]},{"index":0.625,"rgb":[127,205,187]},{"index":0.75,"rgb":[199,233,180]},{"index":0.875,"rgb":[237,248,217]},{"index":1,"rgb":[255,255,217]}],
"greens":[{"index":0,"rgb":[0,68,27]},{"index":0.125,"rgb":[0,109,44]},{"index":0.25,"rgb":[35,139,69]},{"index":0.375,"rgb":[65,171,93]},{"index":0.5,"rgb":[116,196,118]},{"index":0.625,"rgb":[161,217,155]},{"index":0.75,"rgb":[199,233,192]},{"index":0.875,"rgb":[229,245,224]},{"index":1,"rgb":[247,252,245]}],
"yiorrd":[{"index":0,"rgb":[128,0,38]},{"index":0.125,"rgb":[189,0,38]},{"index":0.25,"rgb":[227,26,28]},{"index":0.375,"rgb":[252,78,42]},{"index":0.5,"rgb":[253,141,60]},{"index":0.625,"rgb":[254,178,76]},{"index":0.75,"rgb":[254,217,118]},{"index":0.875,"rgb":[255,237,160]},{"index":1,"rgb":[255,255,204]}],
"bluered":[{"index":0,"rgb":[0,0,255]},{"index":1,"rgb":[255,0,0]}],
"rdbu":[{"index":0,"rgb":[5,10,172]},{"index":0.35,"rgb":[106,137,247]},{"index":0.5,"rgb":[190,190,190]},{"index":0.6,"rgb":[220,170,132]},{"index":0.7,"rgb":[230,145,90]},{"index":1,"rgb":[178,10,28]}],
"picnic":[{"index":0,"rgb":[0,0,255]},{"index":0.1,"rgb":[51,153,255]},{"index":0.2,"rgb":[102,204,255]},{"index":0.3,"rgb":[153,204,255]},{"index":0.4,"rgb":[204,204,255]},{"index":0.5,"rgb":[255,255,255]},{"index":0.6,"rgb":[255,204,255]},{"index":0.7,"rgb":[255,153,255]},{"index":0.8,"rgb":[255,102,204]},{"index":0.9,"rgb":[255,102,102]},{"index":1,"rgb":[255,0,0]}],
"rainbow":[{"index":0,"rgb":[150,0,90]},{"index":0.125,"rgb":[0,0,200]},{"index":0.25,"rgb":[0,25,255]},{"index":0.375,"rgb":[0,152,255]},{"index":0.5,"rgb":[44,255,150]},{"index":0.625,"rgb":[151,255,0]},{"index":0.75,"rgb":[255,234,0]},{"index":0.875,"rgb":[255,111,0]},{"index":1,"rgb":[255,0,0]}],
"portland":[{"index":0,"rgb":[12,51,131]},{"index":0.25,"rgb":[10,136,186]},{"index":0.5,"rgb":[242,211,56]},{"index":0.75,"rgb":[242,143,56]},{"index":1,"rgb":[217,30,30]}],
"blackbody":[{"index":0,"rgb":[0,0,0]},{"index":0.2,"rgb":[230,0,0]},{"index":0.4,"rgb":[230,210,0]},{"index":0.7,"rgb":[255,255,255]},{"index":1,"rgb":[160,200,255]}],
"earth":[{"index":0,"rgb":[0,0,130]},{"index":0.1,"rgb":[0,180,180]},{"index":0.2,"rgb":[40,210,40]},{"index":0.4,"rgb":[230,230,50]},{"index":0.6,"rgb":[120,70,20]},{"index":1,"rgb":[255,255,255]}],
"electric":[{"index":0,"rgb":[0,0,0]},{"index":0.15,"rgb":[30,0,100]},{"index":0.4,"rgb":[120,0,100]},{"index":0.6,"rgb":[160,90,0]},{"index":0.8,"rgb":[230,200,0]},{"index":1,"rgb":[255,250,220]}],
"alpha": [{"index":0, "rgb": [255,255,255,0]},{"index":0, "rgb": [255,255,255,1]}],
"viridis": [{"index":0,"rgb":[68,1,84]},{"index":0.13,"rgb":[71,44,122]},{"index":0.25,"rgb":[59,81,139]},{"index":0.38,"rgb":[44,113,142]},{"index":0.5,"rgb":[33,144,141]},{"index":0.63,"rgb":[39,173,129]},{"index":0.75,"rgb":[92,200,99]},{"index":0.88,"rgb":[170,220,50]},{"index":1,"rgb":[253,231,37]}],
"inferno": [{"index":0,"rgb":[0,0,4]},{"index":0.13,"rgb":[31,12,72]},{"index":0.25,"rgb":[85,15,109]},{"index":0.38,"rgb":[136,34,106]},{"index":0.5,"rgb":[186,54,85]},{"index":0.63,"rgb":[227,89,51]},{"index":0.75,"rgb":[249,140,10]},{"index":0.88,"rgb":[249,201,50]},{"index":1,"rgb":[252,255,164]}],
"magma": [{"index":0,"rgb":[0,0,4]},{"index":0.13,"rgb":[28,16,68]},{"index":0.25,"rgb":[79,18,123]},{"index":0.38,"rgb":[129,37,129]},{"index":0.5,"rgb":[181,54,122]},{"index":0.63,"rgb":[229,80,100]},{"index":0.75,"rgb":[251,135,97]},{"index":0.88,"rgb":[254,194,135]},{"index":1,"rgb":[252,253,191]}],
"plasma": [{"index":0,"rgb":[13,8,135]},{"index":0.13,"rgb":[75,3,161]},{"index":0.25,"rgb":[125,3,168]},{"index":0.38,"rgb":[168,34,150]},{"index":0.5,"rgb":[203,70,121]},{"index":0.63,"rgb":[229,107,93]},{"index":0.75,"rgb":[248,148,65]},{"index":0.88,"rgb":[253,195,40]},{"index":1,"rgb":[240,249,33]}],
"warm": [{"index":0,"rgb":[125,0,179]},{"index":0.13,"rgb":[172,0,187]},{"index":0.25,"rgb":[219,0,170]},{"index":0.38,"rgb":[255,0,130]},{"index":0.5,"rgb":[255,63,74]},{"index":0.63,"rgb":[255,123,0]},{"index":0.75,"rgb":[234,176,0]},{"index":0.88,"rgb":[190,228,0]},{"index":1,"rgb":[147,255,0]}],
"cool": [{"index":0,"rgb":[125,0,179]},{"index":0.13,"rgb":[116,0,218]},{"index":0.25,"rgb":[98,74,237]},{"index":0.38,"rgb":[68,146,231]},{"index":0.5,"rgb":[0,204,197]},{"index":0.63,"rgb":[0,247,146]},{"index":0.75,"rgb":[0,255,88]},{"index":0.88,"rgb":[40,255,8]},{"index":1,"rgb":[147,255,0]}],
"rainbow-soft": [{"index":0,"rgb":[125,0,179]},{"index":0.1,"rgb":[199,0,180]},{"index":0.2,"rgb":[255,0,121]},{"index":0.3,"rgb":[255,108,0]},{"index":0.4,"rgb":[222,194,0]},{"index":0.5,"rgb":[150,255,0]},{"index":0.6,"rgb":[0,255,55]},{"index":0.7,"rgb":[0,246,150]},{"index":0.8,"rgb":[50,167,222]},{"index":0.9,"rgb":[103,51,235]},{"index":1,"rgb":[124,0,186]}],
"bathymetry": [{"index":0,"rgb":[40,26,44]},{"index":0.13,"rgb":[59,49,90]},{"index":0.25,"rgb":[64,76,139]},{"index":0.38,"rgb":[63,110,151]},{"index":0.5,"rgb":[72,142,158]},{"index":0.63,"rgb":[85,174,163]},{"index":0.75,"rgb":[120,206,163]},{"index":0.88,"rgb":[187,230,172]},{"index":1,"rgb":[253,254,204]}],
"cdom": [{"index":0,"rgb":[47,15,62]},{"index":0.13,"rgb":[87,23,86]},{"index":0.25,"rgb":[130,28,99]},{"index":0.38,"rgb":[171,41,96]},{"index":0.5,"rgb":[206,67,86]},{"index":0.63,"rgb":[230,106,84]},{"index":0.75,"rgb":[242,149,103]},{"index":0.88,"rgb":[249,193,135]},{"index":1,"rgb":[254,237,176]}],
"chlorophyll": [{"index":0,"rgb":[18,36,20]},{"index":0.13,"rgb":[25,63,41]},{"index":0.25,"rgb":[24,91,59]},{"index":0.38,"rgb":[13,119,72]},{"index":0.5,"rgb":[18,148,80]},{"index":0.63,"rgb":[80,173,89]},{"index":0.75,"rgb":[132,196,122]},{"index":0.88,"rgb":[175,221,162]},{"index":1,"rgb":[215,249,208]}],
"density": [{"index":0,"rgb":[54,14,36]},{"index":0.13,"rgb":[89,23,80]},{"index":0.25,"rgb":[110,45,132]},{"index":0.38,"rgb":[120,77,178]},{"index":0.5,"rgb":[120,113,213]},{"index":0.63,"rgb":[115,151,228]},{"index":0.75,"rgb":[134,185,227]},{"index":0.88,"rgb":[177,214,227]},{"index":1,"rgb":[230,241,241]}],
"freesurface-blue": [{"index":0,"rgb":[30,4,110]},{"index":0.13,"rgb":[47,14,176]},{"index":0.25,"rgb":[41,45,236]},{"index":0.38,"rgb":[25,99,212]},{"index":0.5,"rgb":[68,131,200]},{"index":0.63,"rgb":[114,156,197]},{"index":0.75,"rgb":[157,181,203]},{"index":0.88,"rgb":[200,208,216]},{"index":1,"rgb":[241,237,236]}],
"freesurface-red": [{"index":0,"rgb":[60,9,18]},{"index":0.13,"rgb":[100,17,27]},{"index":0.25,"rgb":[142,20,29]},{"index":0.38,"rgb":[177,43,27]},{"index":0.5,"rgb":[192,87,63]},{"index":0.63,"rgb":[205,125,105]},{"index":0.75,"rgb":[216,162,148]},{"index":0.88,"rgb":[227,199,193]},{"index":1,"rgb":[241,237,236]}],
"oxygen": [{"index":0,"rgb":[64,5,5]},{"index":0.13,"rgb":[106,6,15]},{"index":0.25,"rgb":[144,26,7]},{"index":0.38,"rgb":[168,64,3]},{"index":0.5,"rgb":[188,100,4]},{"index":0.63,"rgb":[206,136,11]},{"index":0.75,"rgb":[220,174,25]},{"index":0.88,"rgb":[231,215,44]},{"index":1,"rgb":[248,254,105]}],
"par": [{"index":0,"rgb":[51,20,24]},{"index":0.13,"rgb":[90,32,35]},{"index":0.25,"rgb":[129,44,34]},{"index":0.38,"rgb":[159,68,25]},{"index":0.5,"rgb":[182,99,19]},{"index":0.63,"rgb":[199,134,22]},{"index":0.75,"rgb":[212,171,35]},{"index":0.88,"rgb":[221,210,54]},{"index":1,"rgb":[225,253,75]}],
"phase": [{"index":0,"rgb":[145,105,18]},{"index":0.13,"rgb":[184,71,38]},{"index":0.25,"rgb":[186,58,115]},{"index":0.38,"rgb":[160,71,185]},{"index":0.5,"rgb":[110,97,218]},{"index":0.63,"rgb":[50,123,164]},{"index":0.75,"rgb":[31,131,110]},{"index":0.88,"rgb":[77,129,34]},{"index":1,"rgb":[145,105,18]}],
"salinity": [{"index":0,"rgb":[42,24,108]},{"index":0.13,"rgb":[33,50,162]},{"index":0.25,"rgb":[15,90,145]},{"index":0.38,"rgb":[40,118,137]},{"index":0.5,"rgb":[59,146,135]},{"index":0.63,"rgb":[79,175,126]},{"index":0.75,"rgb":[120,203,104]},{"index":0.88,"rgb":[193,221,100]},{"index":1,"rgb":[253,239,154]}],
"temperature": [{"index":0,"rgb":[4,35,51]},{"index":0.13,"rgb":[23,51,122]},{"index":0.25,"rgb":[85,59,157]},{"index":0.38,"rgb":[129,79,143]},{"index":0.5,"rgb":[175,95,130]},{"index":0.63,"rgb":[222,112,101]},{"index":0.75,"rgb":[249,146,66]},{"index":0.88,"rgb":[249,196,65]},{"index":1,"rgb":[232,250,91]}],
"turbidity": [{"index":0,"rgb":[34,31,27]},{"index":0.13,"rgb":[65,50,41]},{"index":0.25,"rgb":[98,69,52]},{"index":0.38,"rgb":[131,89,57]},{"index":0.5,"rgb":[161,112,59]},{"index":0.63,"rgb":[185,140,66]},{"index":0.75,"rgb":[202,174,88]},{"index":0.88,"rgb":[216,209,126]},{"index":1,"rgb":[233,246,171]}],
"velocity-blue": [{"index":0,"rgb":[17,32,64]},{"index":0.13,"rgb":[35,52,116]},{"index":0.25,"rgb":[29,81,156]},{"index":0.38,"rgb":[31,113,162]},{"index":0.5,"rgb":[50,144,169]},{"index":0.63,"rgb":[87,173,176]},{"index":0.75,"rgb":[149,196,189]},{"index":0.88,"rgb":[203,221,211]},{"index":1,"rgb":[254,251,230]}],
"velocity-green": [{"index":0,"rgb":[23,35,19]},{"index":0.13,"rgb":[24,64,38]},{"index":0.25,"rgb":[11,95,45]},{"index":0.38,"rgb":[39,123,35]},{"index":0.5,"rgb":[95,146,12]},{"index":0.63,"rgb":[152,165,18]},{"index":0.75,"rgb":[201,186,69]},{"index":0.88,"rgb":[233,216,137]},{"index":1,"rgb":[255,253,205]}],
"cubehelix": [{"index":0,"rgb":[0,0,0]},{"index":0.07,"rgb":[22,5,59]},{"index":0.13,"rgb":[60,4,105]},{"index":0.2,"rgb":[109,1,135]},{"index":0.27,"rgb":[161,0,147]},{"index":0.33,"rgb":[210,2,142]},{"index":0.4,"rgb":[251,11,123]},{"index":0.47,"rgb":[255,29,97]},{"index":0.53,"rgb":[255,54,69]},{"index":0.6,"rgb":[255,85,46]},{"index":0.67,"rgb":[255,120,34]},{"index":0.73,"rgb":[255,157,37]},{"index":0.8,"rgb":[241,191,57]},{"index":0.87,"rgb":[224,220,93]},{"index":0.93,"rgb":[218,241,142]},{"index":1,"rgb":[227,253,198]}]
};
},{}],57:[function(require,module,exports){
/*
* Ben Postlethwaite
* January 2013
* License MIT
*/
'use strict';
var at = require('arraytools');
var clone = require('clone');
var colorScale = require('./colorScales');
module.exports = createColormap;
function createColormap (spec) {
/*
* Default Options
*/
var indicies, rgba, fromrgba, torgba,
nsteps, cmap, colormap, format,
nshades, colors, alpha, index, i,
r = [],
g = [],
b = [],
a = [];
if ( !at.isPlainObject(spec) ) spec = {};
nshades = spec.nshades || 72;
format = spec.format || 'hex';
colormap = spec.colormap;
if (!colormap) colormap = 'jet';
if (typeof colormap === 'string') {
colormap = colormap.toLowerCase();
if (!colorScale[colormap]) {
throw Error(colormap + ' not a supported colorscale');
}
cmap = clone(colorScale[colormap]);
} else if (Array.isArray(colormap)) {
cmap = clone(colormap);
} else {
throw Error('unsupported colormap option', colormap);
}
if (cmap.length > nshades) {
throw new Error(
colormap+' map requires nshades to be at least size '+cmap.length
);
}
if (!Array.isArray(spec.alpha)) {
if (typeof spec.alpha === 'number') {
alpha = [spec.alpha, spec.alpha];
} else {
alpha = [1, 1];
}
} else if (spec.alpha.length !== 2) {
alpha = [1, 1];
} else {
alpha = clone(spec.alpha);
}
/*
* map index points from 0->1 to 0 -> n-1
*/
indicies = cmap.map(function(c) {
return Math.round(c.index * nshades);
});
/*
* Add alpha channel to the map
*/
if (alpha[0] < 0) alpha[0] = 0;
if (alpha[1] < 0) alpha[0] = 0;
if (alpha[0] > 1) alpha[0] = 1;
if (alpha[1] > 1) alpha[0] = 1;
for (i = 0; i < indicies.length; ++i) {
index = cmap[i].index;
rgba = cmap[i].rgb;
// if user supplies their own map use it
if (rgba.length === 4 && rgba[3] >= 0 && rgba[3] <= 1) continue;
rgba[3] = alpha[0] + (alpha[1] - alpha[0])*index;
}
/*
* map increasing linear values between indicies to
* linear steps in colorvalues
*/
for (i = 0; i < indicies.length-1; ++i) {
nsteps = indicies[i+1] - indicies[i];
fromrgba = cmap[i].rgb;
torgba = cmap[i+1].rgb;
r = r.concat(at.linspace(fromrgba[0], torgba[0], nsteps ) );
g = g.concat(at.linspace(fromrgba[1], torgba[1], nsteps ) );
b = b.concat(at.linspace(fromrgba[2], torgba[2], nsteps ) );
a = a.concat(at.linspace(fromrgba[3], torgba[3], nsteps ) );
}
r = r.map( Math.round );
g = g.map( Math.round );
b = b.map( Math.round );
colors = at.zip(r, g, b, a);
if (format === 'hex') colors = colors.map( rgb2hex );
if (format === 'rgbaString') colors = colors.map( rgbaStr );
return colors;
};
function rgb2hex (rgba) {
var dig, hex = '#';
for (var i = 0; i < 3; ++i) {
dig = rgba[i];
dig = dig.toString(16);
hex += ('00' + dig).substr( dig.length );
}
return hex;
}
function rgbaStr (rgba) {
return 'rgba(' + rgba.join(',') + ')';
}
},{"./colorScales":56,"arraytools":16,"clone":55}],58:[function(require,module,exports){
"use strict"
module.exports = compareAngle
var orient = require("robust-orientation")
var sgn = require("signum")
var twoSum = require("two-sum")
var robustProduct = require("robust-product")
var robustSum = require("robust-sum")
function testInterior(a, b, c) {
var x0 = twoSum(a[0], -b[0])
var y0 = twoSum(a[1], -b[1])
var x1 = twoSum(c[0], -b[0])
var y1 = twoSum(c[1], -b[1])
var d = robustSum(
robustProduct(x0, x1),
robustProduct(y0, y1))
return d[d.length-1] >= 0
}
function compareAngle(a, b, c, d) {
var bcd = orient(b, c, d)
if(bcd === 0) {
//Handle degenerate cases
var sabc = sgn(orient(a, b, c))
var sabd = sgn(orient(a, b, d))
if(sabc === sabd) {
if(sabc === 0) {
var ic = testInterior(a, b, c)
var id = testInterior(a, b, d)
if(ic === id) {
return 0
} else if(ic) {
return 1
} else {
return -1
}
}
return 0
} else if(sabd === 0) {
if(sabc > 0) {
return -1
} else if(testInterior(a, b, d)) {
return -1
} else {
return 1
}
} else if(sabc === 0) {
if(sabd > 0) {
return 1
} else if(testInterior(a, b, c)) {
return 1
} else {
return -1
}
}
return sgn(sabd - sabc)
}
var abc = orient(a, b, c)
if(abc > 0) {
if(bcd > 0 && orient(a, b, d) > 0) {
return 1
}
return -1
} else if(abc < 0) {
if(bcd > 0 || orient(a, b, d) > 0) {
return 1
}
return -1
} else {
var abd = orient(a, b, d)
if(abd > 0) {
return 1
} else {
if(testInterior(a, b, c)) {
return 1
} else {
return -1
}
}
}
}
},{"robust-orientation":234,"robust-product":235,"robust-sum":239,"signum":59,"two-sum":256}],59:[function(require,module,exports){
"use strict"
module.exports = function signum(x) {
if(x < 0) { return -1 }
if(x > 0) { return 1 }
return 0.0
}
},{}],60:[function(require,module,exports){
"use strict"
var convexHull1d = require('./lib/ch1d')
var convexHull2d = require('./lib/ch2d')
var convexHullnd = require('./lib/chnd')
module.exports = convexHull
function convexHull(points) {
var n = points.length
if(n === 0) {
return []
} else if(n === 1) {
return [[0]]
}
var d = points[0].length
if(d === 0) {
return []
} else if(d === 1) {
return convexHull1d(points)
} else if(d === 2) {
return convexHull2d(points)
}
return convexHullnd(points, d)
}
},{"./lib/ch1d":61,"./lib/ch2d":62,"./lib/chnd":63}],61:[function(require,module,exports){
"use strict"
module.exports = convexHull1d
function convexHull1d(points) {
var lo = 0
var hi = 0
for(var i=1; i<points.length; ++i) {
if(points[i][0] < points[lo][0]) {
lo = i
}
if(points[i][0] > points[hi][0]) {
hi = i
}
}
if(lo < hi) {
return [[lo], [hi]]
} else if(lo > hi) {
return [[hi], [lo]]
} else {
return [[lo]]
}
}
},{}],62:[function(require,module,exports){
'use strict'
module.exports = convexHull2D
var monotoneHull = require('monotone-convex-hull-2d')
function convexHull2D(points) {
var hull = monotoneHull(points)
var h = hull.length
if(h <= 2) {
return []
}
var edges = new Array(h)
var a = hull[h-1]
for(var i=0; i<h; ++i) {
var b = hull[i]
edges[i] = [a,b]
a = b
}
return edges
}
},{"monotone-convex-hull-2d":199}],63:[function(require,module,exports){
'use strict'
module.exports = convexHullnD
var ich = require('incremental-convex-hull')
var aff = require('affine-hull')
function permute(points, front) {
var n = points.length
var npoints = new Array(n)
for(var i=0; i<front.length; ++i) {
npoints[i] = points[front[i]]
}
var ptr = front.length
for(var i=0; i<n; ++i) {
if(front.indexOf(i) < 0) {
npoints[ptr++] = points[i]
}
}
return npoints
}
function invPermute(cells, front) {
var nc = cells.length
var nf = front.length
for(var i=0; i<nc; ++i) {
var c = cells[i]
for(var j=0; j<c.length; ++j) {
var x = c[j]
if(x < nf) {
c[j] = front[x]
} else {
x = x - nf
for(var k=0; k<nf; ++k) {
if(x >= front[k]) {
x += 1
}
}
c[j] = x
}
}
}
return cells
}
function convexHullnD(points, d) {
try {
return ich(points, true)
} catch(e) {
//If point set is degenerate, try to find a basis and rerun it
var ah = aff(points)
if(ah.length <= d) {
//No basis, no try
return []
}
var npoints = permute(points, ah)
var nhull = ich(npoints, true)
return invPermute(nhull, ah)
}
}
},{"affine-hull":15,"incremental-convex-hull":188}],64:[function(require,module,exports){
"use strict"
function dcubicHermite(p0, v0, p1, v1, t, f) {
var dh00 = 6*t*t-6*t,
dh10 = 3*t*t-4*t + 1,
dh01 = -6*t*t+6*t,
dh11 = 3*t*t-2*t
if(p0.length) {
if(!f) {
f = new Array(p0.length)
}
for(var i=p0.length-1; i>=0; --i) {
f[i] = dh00*p0[i] + dh10*v0[i] + dh01*p1[i] + dh11*v1[i]
}
return f
}
return dh00*p0 + dh10*v0 + dh01*p1[i] + dh11*v1
}
function cubicHermite(p0, v0, p1, v1, t, f) {
var ti = (t-1), t2 = t*t, ti2 = ti*ti,
h00 = (1+2*t)*ti2,
h10 = t*ti2,
h01 = t2*(3-2*t),
h11 = t2*ti
if(p0.length) {
if(!f) {
f = new Array(p0.length)
}
for(var i=p0.length-1; i>=0; --i) {
f[i] = h00*p0[i] + h10*v0[i] + h01*p1[i] + h11*v1[i]
}
return f
}
return h00*p0 + h10*v0 + h01*p1 + h11*v1
}
module.exports = cubicHermite
module.exports.derivative = dcubicHermite
},{}],65:[function(require,module,exports){
"use strict"
var createThunk = require("./lib/thunk.js")
function Procedure() {
this.argTypes = []
this.shimArgs = []
this.arrayArgs = []
this.arrayBlockIndices = []
this.scalarArgs = []
this.offsetArgs = []
this.offsetArgIndex = []
this.indexArgs = []
this.shapeArgs = []
this.funcName = ""
this.pre = null
this.body = null
this.post = null
this.debug = false
}
function compileCwise(user_args) {
//Create procedure
var proc = new Procedure()
//Parse blocks
proc.pre = user_args.pre
proc.body = user_args.body
proc.post = user_args.post
//Parse arguments
var proc_args = user_args.args.slice(0)
proc.argTypes = proc_args
for(var i=0; i<proc_args.length; ++i) {
var arg_type = proc_args[i]
if(arg_type === "array" || (typeof arg_type === "object" && arg_type.blockIndices)) {
proc.argTypes[i] = "array"
proc.arrayArgs.push(i)
proc.arrayBlockIndices.push(arg_type.blockIndices ? arg_type.blockIndices : 0)
proc.shimArgs.push("array" + i)
if(i < proc.pre.args.length && proc.pre.args[i].count>0) {
throw new Error("cwise: pre() block may not reference array args")
}
if(i < proc.post.args.length && proc.post.args[i].count>0) {
throw new Error("cwise: post() block may not reference array args")
}
} else if(arg_type === "scalar") {
proc.scalarArgs.push(i)
proc.shimArgs.push("scalar" + i)
} else if(arg_type === "index") {
proc.indexArgs.push(i)
if(i < proc.pre.args.length && proc.pre.args[i].count > 0) {
throw new Error("cwise: pre() block may not reference array index")
}
if(i < proc.body.args.length && proc.body.args[i].lvalue) {
throw new Error("cwise: body() block may not write to array index")
}
if(i < proc.post.args.length && proc.post.args[i].count > 0) {
throw new Error("cwise: post() block may not reference array index")
}
} else if(arg_type === "shape") {
proc.shapeArgs.push(i)
if(i < proc.pre.args.length && proc.pre.args[i].lvalue) {
throw new Error("cwise: pre() block may not write to array shape")
}
if(i < proc.body.args.length && proc.body.args[i].lvalue) {
throw new Error("cwise: body() block may not write to array shape")
}
if(i < proc.post.args.length && proc.post.args[i].lvalue) {
throw new Error("cwise: post() block may not write to array shape")
}
} else if(typeof arg_type === "object" && arg_type.offset) {
proc.argTypes[i] = "offset"
proc.offsetArgs.push({ array: arg_type.array, offset:arg_type.offset })
proc.offsetArgIndex.push(i)
} else {
throw new Error("cwise: Unknown argument type " + proc_args[i])
}
}
//Make sure at least one array argument was specified
if(proc.arrayArgs.length <= 0) {
throw new Error("cwise: No array arguments specified")
}
//Make sure arguments are correct
if(proc.pre.args.length > proc_args.length) {
throw new Error("cwise: Too many arguments in pre() block")
}
if(proc.body.args.length > proc_args.length) {
throw new Error("cwise: Too many arguments in body() block")
}
if(proc.post.args.length > proc_args.length) {
throw new Error("cwise: Too many arguments in post() block")
}
//Check debug flag
proc.debug = !!user_args.printCode || !!user_args.debug
//Retrieve name
proc.funcName = user_args.funcName || "cwise"
//Read in block size
proc.blockSize = user_args.blockSize || 64
return createThunk(proc)
}
module.exports = compileCwise
},{"./lib/thunk.js":67}],66:[function(require,module,exports){
"use strict"
var uniq = require("uniq")
// This function generates very simple loops analogous to how you typically traverse arrays (the outermost loop corresponds to the slowest changing index, the innermost loop to the fastest changing index)
// TODO: If two arrays have the same strides (and offsets) there is potential for decreasing the number of "pointers" and related variables. The drawback is that the type signature would become more specific and that there would thus be less potential for caching, but it might still be worth it, especially when dealing with large numbers of arguments.
function innerFill(order, proc, body) {
var dimension = order.length
, nargs = proc.arrayArgs.length
, has_index = proc.indexArgs.length>0
, code = []
, vars = []
, idx=0, pidx=0, i, j
for(i=0; i<dimension; ++i) { // Iteration variables
vars.push(["i",i,"=0"].join(""))
}
//Compute scan deltas
for(j=0; j<nargs; ++j) {
for(i=0; i<dimension; ++i) {
pidx = idx
idx = order[i]
if(i === 0) { // The innermost/fastest dimension's delta is simply its stride
vars.push(["d",j,"s",i,"=t",j,"p",idx].join(""))
} else { // For other dimensions the delta is basically the stride minus something which essentially "rewinds" the previous (more inner) dimension
vars.push(["d",j,"s",i,"=(t",j,"p",idx,"-s",pidx,"*t",j,"p",pidx,")"].join(""))
}
}
}
if (vars.length > 0) {
code.push("var " + vars.join(","))
}
//Scan loop
for(i=dimension-1; i>=0; --i) { // Start at largest stride and work your way inwards
idx = order[i]
code.push(["for(i",i,"=0;i",i,"<s",idx,";++i",i,"){"].join(""))
}
//Push body of inner loop
code.push(body)
//Advance scan pointers
for(i=0; i<dimension; ++i) {
pidx = idx
idx = order[i]
for(j=0; j<nargs; ++j) {
code.push(["p",j,"+=d",j,"s",i].join(""))
}
if(has_index) {
if(i > 0) {
code.push(["index[",pidx,"]-=s",pidx].join(""))
}
code.push(["++index[",idx,"]"].join(""))
}
code.push("}")
}
return code.join("\n")
}
// Generate "outer" loops that loop over blocks of data, applying "inner" loops to the blocks by manipulating the local variables in such a way that the inner loop only "sees" the current block.
// TODO: If this is used, then the previous declaration (done by generateCwiseOp) of s* is essentially unnecessary.
// I believe the s* are not used elsewhere (in particular, I don't think they're used in the pre/post parts and "shape" is defined independently), so it would be possible to make defining the s* dependent on what loop method is being used.
function outerFill(matched, order, proc, body) {
var dimension = order.length
, nargs = proc.arrayArgs.length
, blockSize = proc.blockSize
, has_index = proc.indexArgs.length > 0
, code = []
for(var i=0; i<nargs; ++i) {
code.push(["var offset",i,"=p",i].join(""))
}
//Generate loops for unmatched dimensions
// The order in which these dimensions are traversed is fairly arbitrary (from small stride to large stride, for the first argument)
// TODO: It would be nice if the order in which these loops are placed would also be somehow "optimal" (at the very least we should check that it really doesn't hurt us if they're not).
for(var i=matched; i<dimension; ++i) {
code.push(["for(var j"+i+"=SS[", order[i], "]|0;j", i, ">0;){"].join("")) // Iterate back to front
code.push(["if(j",i,"<",blockSize,"){"].join("")) // Either decrease j by blockSize (s = blockSize), or set it to zero (after setting s = j).
code.push(["s",order[i],"=j",i].join(""))
code.push(["j",i,"=0"].join(""))
code.push(["}else{s",order[i],"=",blockSize].join(""))
code.push(["j",i,"-=",blockSize,"}"].join(""))
if(has_index) {
code.push(["index[",order[i],"]=j",i].join(""))
}
}
for(var i=0; i<nargs; ++i) {
var indexStr = ["offset"+i]
for(var j=matched; j<dimension; ++j) {
indexStr.push(["j",j,"*t",i,"p",order[j]].join(""))
}
code.push(["p",i,"=(",indexStr.join("+"),")"].join(""))
}
code.push(innerFill(order, proc, body))
for(var i=matched; i<dimension; ++i) {
code.push("}")
}
return code.join("\n")
}
//Count the number of compatible inner orders
// This is the length of the longest common prefix of the arrays in orders.
// Each array in orders lists the dimensions of the correspond ndarray in order of increasing stride.
// This is thus the maximum number of dimensions that can be efficiently traversed by simple nested loops for all arrays.
function countMatches(orders) {
var matched = 0, dimension = orders[0].length
while(matched < dimension) {
for(var j=1; j<orders.length; ++j) {
if(orders[j][matched] !== orders[0][matched]) {
return matched
}
}
++matched
}
return matched
}
//Processes a block according to the given data types
// Replaces variable names by different ones, either "local" ones (that are then ferried in and out of the given array) or ones matching the arguments that the function performing the ultimate loop will accept.
function processBlock(block, proc, dtypes) {
var code = block.body
var pre = []
var post = []
for(var i=0; i<block.args.length; ++i) {
var carg = block.args[i]
if(carg.count <= 0) {
continue
}
var re = new RegExp(carg.name, "g")
var ptrStr = ""
var arrNum = proc.arrayArgs.indexOf(i)
switch(proc.argTypes[i]) {
case "offset":
var offArgIndex = proc.offsetArgIndex.indexOf(i)
var offArg = proc.offsetArgs[offArgIndex]
arrNum = offArg.array
ptrStr = "+q" + offArgIndex // Adds offset to the "pointer" in the array
case "array":
ptrStr = "p" + arrNum + ptrStr
var localStr = "l" + i
var arrStr = "a" + arrNum
if (proc.arrayBlockIndices[arrNum] === 0) { // Argument to body is just a single value from this array
if(carg.count === 1) { // Argument/array used only once(?)
if(dtypes[arrNum] === "generic") {
if(carg.lvalue) {
pre.push(["var ", localStr, "=", arrStr, ".get(", ptrStr, ")"].join("")) // Is this necessary if the argument is ONLY used as an lvalue? (keep in mind that we can have a += something, so we would actually need to check carg.rvalue)
code = code.replace(re, localStr)
post.push([arrStr, ".set(", ptrStr, ",", localStr,")"].join(""))
} else {
code = code.replace(re, [arrStr, ".get(", ptrStr, ")"].join(""))
}
} else {
code = code.replace(re, [arrStr, "[", ptrStr, "]"].join(""))
}
} else if(dtypes[arrNum] === "generic") {
pre.push(["var ", localStr, "=", arrStr, ".get(", ptrStr, ")"].join("")) // TODO: Could we optimize by checking for carg.rvalue?
code = code.replace(re, localStr)
if(carg.lvalue) {
post.push([arrStr, ".set(", ptrStr, ",", localStr,")"].join(""))
}
} else {
pre.push(["var ", localStr, "=", arrStr, "[", ptrStr, "]"].join("")) // TODO: Could we optimize by checking for carg.rvalue?
code = code.replace(re, localStr)
if(carg.lvalue) {
post.push([arrStr, "[", ptrStr, "]=", localStr].join(""))
}
}
} else { // Argument to body is a "block"
var reStrArr = [carg.name], ptrStrArr = [ptrStr]
for(var j=0; j<Math.abs(proc.arrayBlockIndices[arrNum]); j++) {
reStrArr.push("\\s*\\[([^\\]]+)\\]")
ptrStrArr.push("$" + (j+1) + "*t" + arrNum + "b" + j) // Matched index times stride
}
re = new RegExp(reStrArr.join(""), "g")
ptrStr = ptrStrArr.join("+")
if(dtypes[arrNum] === "generic") {
/*if(carg.lvalue) {
pre.push(["var ", localStr, "=", arrStr, ".get(", ptrStr, ")"].join("")) // Is this necessary if the argument is ONLY used as an lvalue? (keep in mind that we can have a += something, so we would actually need to check carg.rvalue)
code = code.replace(re, localStr)
post.push([arrStr, ".set(", ptrStr, ",", localStr,")"].join(""))
} else {
code = code.replace(re, [arrStr, ".get(", ptrStr, ")"].join(""))
}*/
throw new Error("cwise: Generic arrays not supported in combination with blocks!")
} else {
// This does not produce any local variables, even if variables are used multiple times. It would be possible to do so, but it would complicate things quite a bit.
code = code.replace(re, [arrStr, "[", ptrStr, "]"].join(""))
}
}
break
case "scalar":
code = code.replace(re, "Y" + proc.scalarArgs.indexOf(i))
break
case "index":
code = code.replace(re, "index")
break
case "shape":
code = code.replace(re, "shape")
break
}
}
return [pre.join("\n"), code, post.join("\n")].join("\n").trim()
}
function typeSummary(dtypes) {
var summary = new Array(dtypes.length)
var allEqual = true
for(var i=0; i<dtypes.length; ++i) {
var t = dtypes[i]
var digits = t.match(/\d+/)
if(!digits) {
digits = ""
} else {
digits = digits[0]
}
if(t.charAt(0) === 0) {
summary[i] = "u" + t.charAt(1) + digits
} else {
summary[i] = t.charAt(0) + digits
}
if(i > 0) {
allEqual = allEqual && summary[i] === summary[i-1]
}
}
if(allEqual) {
return summary[0]
}
return summary.join("")
}
//Generates a cwise operator
function generateCWiseOp(proc, typesig) {
//Compute dimension
// Arrays get put first in typesig, and there are two entries per array (dtype and order), so this gets the number of dimensions in the first array arg.
var dimension = (typesig[1].length - Math.abs(proc.arrayBlockIndices[0]))|0
var orders = new Array(proc.arrayArgs.length)
var dtypes = new Array(proc.arrayArgs.length)
for(var i=0; i<proc.arrayArgs.length; ++i) {
dtypes[i] = typesig[2*i]
orders[i] = typesig[2*i+1]
}
//Determine where block and loop indices start and end
var blockBegin = [], blockEnd = [] // These indices are exposed as blocks
var loopBegin = [], loopEnd = [] // These indices are iterated over
var loopOrders = [] // orders restricted to the loop indices
for(var i=0; i<proc.arrayArgs.length; ++i) {
if (proc.arrayBlockIndices[i]<0) {
loopBegin.push(0)
loopEnd.push(dimension)
blockBegin.push(dimension)
blockEnd.push(dimension+proc.arrayBlockIndices[i])
} else {
loopBegin.push(proc.arrayBlockIndices[i]) // Non-negative
loopEnd.push(proc.arrayBlockIndices[i]+dimension)
blockBegin.push(0)
blockEnd.push(proc.arrayBlockIndices[i])
}
var newOrder = []
for(var j=0; j<orders[i].length; j++) {
if (loopBegin[i]<=orders[i][j] && orders[i][j]<loopEnd[i]) {
newOrder.push(orders[i][j]-loopBegin[i]) // If this is a loop index, put it in newOrder, subtracting loopBegin, to make sure that all loopOrders are using a common set of indices.
}
}
loopOrders.push(newOrder)
}
//First create arguments for procedure
var arglist = ["SS"] // SS is the overall shape over which we iterate
var code = ["'use strict'"]
var vars = []
for(var j=0; j<dimension; ++j) {
vars.push(["s", j, "=SS[", j, "]"].join("")) // The limits for each dimension.
}
for(var i=0; i<proc.arrayArgs.length; ++i) {
arglist.push("a"+i) // Actual data array
arglist.push("t"+i) // Strides
arglist.push("p"+i) // Offset in the array at which the data starts (also used for iterating over the data)
for(var j=0; j<dimension; ++j) { // Unpack the strides into vars for looping
vars.push(["t",i,"p",j,"=t",i,"[",loopBegin[i]+j,"]"].join(""))
}
for(var j=0; j<Math.abs(proc.arrayBlockIndices[i]); ++j) { // Unpack the strides into vars for block iteration
vars.push(["t",i,"b",j,"=t",i,"[",blockBegin[i]+j,"]"].join(""))
}
}
for(var i=0; i<proc.scalarArgs.length; ++i) {
arglist.push("Y" + i)
}
if(proc.shapeArgs.length > 0) {
vars.push("shape=SS.slice(0)") // Makes the shape over which we iterate available to the user defined functions (so you can use width/height for example)
}
if(proc.indexArgs.length > 0) {
// Prepare an array to keep track of the (logical) indices, initialized to dimension zeroes.
var zeros = new Array(dimension)
for(var i=0; i<dimension; ++i) {
zeros[i] = "0"
}
vars.push(["index=[", zeros.join(","), "]"].join(""))
}
for(var i=0; i<proc.offsetArgs.length; ++i) { // Offset arguments used for stencil operations
var off_arg = proc.offsetArgs[i]
var init_string = []
for(var j=0; j<off_arg.offset.length; ++j) {
if(off_arg.offset[j] === 0) {
continue
} else if(off_arg.offset[j] === 1) {
init_string.push(["t", off_arg.array, "p", j].join(""))
} else {
init_string.push([off_arg.offset[j], "*t", off_arg.array, "p", j].join(""))
}
}
if(init_string.length === 0) {
vars.push("q" + i + "=0")
} else {
vars.push(["q", i, "=", init_string.join("+")].join(""))
}
}
//Prepare this variables
var thisVars = uniq([].concat(proc.pre.thisVars)
.concat(proc.body.thisVars)
.concat(proc.post.thisVars))
vars = vars.concat(thisVars)
if (vars.length > 0) {
code.push("var " + vars.join(","))
}
for(var i=0; i<proc.arrayArgs.length; ++i) {
code.push("p"+i+"|=0")
}
//Inline prelude
if(proc.pre.body.length > 3) {
code.push(processBlock(proc.pre, proc, dtypes))
}
//Process body
var body = processBlock(proc.body, proc, dtypes)
var matched = countMatches(loopOrders)
if(matched < dimension) {
code.push(outerFill(matched, loopOrders[0], proc, body)) // TODO: Rather than passing loopOrders[0], it might be interesting to look at passing an order that represents the majority of the arguments for example.
} else {
code.push(innerFill(loopOrders[0], proc, body))
}
//Inline epilog
if(proc.post.body.length > 3) {
code.push(processBlock(proc.post, proc, dtypes))
}
if(proc.debug) {
console.log("-----Generated cwise routine for ", typesig, ":\n" + code.join("\n") + "\n----------")
}
var loopName = [(proc.funcName||"unnamed"), "_cwise_loop_", orders[0].join("s"),"m",matched,typeSummary(dtypes)].join("")
var f = new Function(["function ",loopName,"(", arglist.join(","),"){", code.join("\n"),"} return ", loopName].join(""))
return f()
}
module.exports = generateCWiseOp
},{"uniq":259}],67:[function(require,module,exports){
"use strict"
// The function below is called when constructing a cwise function object, and does the following:
// A function object is constructed which accepts as argument a compilation function and returns another function.
// It is this other function that is eventually returned by createThunk, and this function is the one that actually
// checks whether a certain pattern of arguments has already been used before and compiles new loops as needed.
// The compilation passed to the first function object is used for compiling new functions.
// Once this function object is created, it is called with compile as argument, where the first argument of compile
// is bound to "proc" (essentially containing a preprocessed version of the user arguments to cwise).
// So createThunk roughly works like this:
// function createThunk(proc) {
// var thunk = function(compileBound) {
// var CACHED = {}
// return function(arrays and scalars) {
// if (dtype and order of arrays in CACHED) {
// var func = CACHED[dtype and order of arrays]
// } else {
// var func = CACHED[dtype and order of arrays] = compileBound(dtype and order of arrays)
// }
// return func(arrays and scalars)
// }
// }
// return thunk(compile.bind1(proc))
// }
var compile = require("./compile.js")
function createThunk(proc) {
var code = ["'use strict'", "var CACHED={}"]
var vars = []
var thunkName = proc.funcName + "_cwise_thunk"
//Build thunk
code.push(["return function ", thunkName, "(", proc.shimArgs.join(","), "){"].join(""))
var typesig = []
var string_typesig = []
var proc_args = [["array",proc.arrayArgs[0],".shape.slice(", // Slice shape so that we only retain the shape over which we iterate (which gets passed to the cwise operator as SS).
Math.max(0,proc.arrayBlockIndices[0]),proc.arrayBlockIndices[0]<0?(","+proc.arrayBlockIndices[0]+")"):")"].join("")]
var shapeLengthConditions = [], shapeConditions = []
// Process array arguments
for(var i=0; i<proc.arrayArgs.length; ++i) {
var j = proc.arrayArgs[i]
vars.push(["t", j, "=array", j, ".dtype,",
"r", j, "=array", j, ".order"].join(""))
typesig.push("t" + j)
typesig.push("r" + j)
string_typesig.push("t"+j)
string_typesig.push("r"+j+".join()")
proc_args.push("array" + j + ".data")
proc_args.push("array" + j + ".stride")
proc_args.push("array" + j + ".offset|0")
if (i>0) { // Gather conditions to check for shape equality (ignoring block indices)
shapeLengthConditions.push("array" + proc.arrayArgs[0] + ".shape.length===array" + j + ".shape.length+" + (Math.abs(proc.arrayBlockIndices[0])-Math.abs(proc.arrayBlockIndices[i])))
shapeConditions.push("array" + proc.arrayArgs[0] + ".shape[shapeIndex+" + Math.max(0,proc.arrayBlockIndices[0]) + "]===array" + j + ".shape[shapeIndex+" + Math.max(0,proc.arrayBlockIndices[i]) + "]")
}
}
// Check for shape equality
if (proc.arrayArgs.length > 1) {
code.push("if (!(" + shapeLengthConditions.join(" && ") + ")) throw new Error('cwise: Arrays do not all have the same dimensionality!')")
code.push("for(var shapeIndex=array" + proc.arrayArgs[0] + ".shape.length-" + Math.abs(proc.arrayBlockIndices[0]) + "; shapeIndex-->0;) {")
code.push("if (!(" + shapeConditions.join(" && ") + ")) throw new Error('cwise: Arrays do not all have the same shape!')")
code.push("}")
}
// Process scalar arguments
for(var i=0; i<proc.scalarArgs.length; ++i) {
proc_args.push("scalar" + proc.scalarArgs[i])
}
// Check for cached function (and if not present, generate it)
vars.push(["type=[", string_typesig.join(","), "].join()"].join(""))
vars.push("proc=CACHED[type]")
code.push("var " + vars.join(","))
code.push(["if(!proc){",
"CACHED[type]=proc=compile([", typesig.join(","), "])}",
"return proc(", proc_args.join(","), ")}"].join(""))
if(proc.debug) {
console.log("-----Generated thunk:\n" + code.join("\n") + "\n----------")
}
//Compile thunk
var thunk = new Function("compile", code.join("\n"))
return thunk(compile.bind(undefined, proc))
}
module.exports = createThunk
},{"./compile.js":66}],68:[function(require,module,exports){
module.exports = require("cwise-compiler")
},{"cwise-compiler":65}],69:[function(require,module,exports){
(function (Buffer){
var hasTypedArrays = false
if(typeof Float64Array !== "undefined") {
var DOUBLE_VIEW = new Float64Array(1)
, UINT_VIEW = new Uint32Array(DOUBLE_VIEW.buffer)
DOUBLE_VIEW[0] = 1.0
hasTypedArrays = true
if(UINT_VIEW[1] === 0x3ff00000) {
//Use little endian
module.exports = function doubleBitsLE(n) {
DOUBLE_VIEW[0] = n
return [ UINT_VIEW[0], UINT_VIEW[1] ]
}
function toDoubleLE(lo, hi) {
UINT_VIEW[0] = lo
UINT_VIEW[1] = hi
return DOUBLE_VIEW[0]
}
module.exports.pack = toDoubleLE
function lowUintLE(n) {
DOUBLE_VIEW[0] = n
return UINT_VIEW[0]
}
module.exports.lo = lowUintLE
function highUintLE(n) {
DOUBLE_VIEW[0] = n
return UINT_VIEW[1]
}
module.exports.hi = highUintLE
} else if(UINT_VIEW[0] === 0x3ff00000) {
//Use big endian
module.exports = function doubleBitsBE(n) {
DOUBLE_VIEW[0] = n
return [ UINT_VIEW[1], UINT_VIEW[0] ]
}
function toDoubleBE(lo, hi) {
UINT_VIEW[1] = lo
UINT_VIEW[0] = hi
return DOUBLE_VIEW[0]
}
module.exports.pack = toDoubleBE
function lowUintBE(n) {
DOUBLE_VIEW[0] = n
return UINT_VIEW[1]
}
module.exports.lo = lowUintBE
function highUintBE(n) {
DOUBLE_VIEW[0] = n
return UINT_VIEW[0]
}
module.exports.hi = highUintBE
} else {
hasTypedArrays = false
}
}
if(!hasTypedArrays) {
var buffer = new Buffer(8)
module.exports = function doubleBits(n) {
buffer.writeDoubleLE(n, 0, true)
return [ buffer.readUInt32LE(0, true), buffer.readUInt32LE(4, true) ]
}
function toDouble(lo, hi) {
buffer.writeUInt32LE(lo, 0, true)
buffer.writeUInt32LE(hi, 4, true)
return buffer.readDoubleLE(0, true)
}
module.exports.pack = toDouble
function lowUint(n) {
buffer.writeDoubleLE(n, 0, true)
return buffer.readUInt32LE(0, true)
}
module.exports.lo = lowUint
function highUint(n) {
buffer.writeDoubleLE(n, 0, true)
return buffer.readUInt32LE(4, true)
}
module.exports.hi = highUint
}
module.exports.sign = function(n) {
return module.exports.hi(n) >>> 31
}
module.exports.exponent = function(n) {
var b = module.exports.hi(n)
return ((b<<1) >>> 21) - 1023
}
module.exports.fraction = function(n) {
var lo = module.exports.lo(n)
var hi = module.exports.hi(n)
var b = hi & ((1<<20) - 1)
if(hi & 0x7ff00000) {
b += (1<<20)
}
return [lo, b]
}
module.exports.denormalized = function(n) {
var hi = module.exports.hi(n)
return !(hi & 0x7ff00000)
}
}).call(this,require("buffer").Buffer)
},{"buffer":3}],70:[function(require,module,exports){
"use strict"
function dupe_array(count, value, i) {
var c = count[i]|0
if(c <= 0) {
return []
}
var result = new Array(c), j
if(i === count.length-1) {
for(j=0; j<c; ++j) {
result[j] = value
}
} else {
for(j=0; j<c; ++j) {
result[j] = dupe_array(count, value, i+1)
}
}
return result
}
function dupe_number(count, value) {
var result, i
result = new Array(count)
for(i=0; i<count; ++i) {
result[i] = value
}
return result
}
function dupe(count, value) {
if(typeof value === "undefined") {
value = 0
}
switch(typeof count) {
case "number":
if(count > 0) {
return dupe_number(count|0, value)
}
break
case "object":
if(typeof (count.length) === "number") {
return dupe_array(count, value, 0)
}
break
}
return []
}
module.exports = dupe
},{}],71:[function(require,module,exports){
"use strict"
module.exports = edgeToAdjacency
var uniq = require("uniq")
function edgeToAdjacency(edges, numVertices) {
var numEdges = edges.length
if(typeof numVertices !== "number") {
numVertices = 0
for(var i=0; i<numEdges; ++i) {
var e = edges[i]
numVertices = Math.max(numVertices, e[0], e[1])
}
numVertices = (numVertices|0) + 1
}
numVertices = numVertices|0
var adj = new Array(numVertices)
for(var i=0; i<numVertices; ++i) {
adj[i] = []
}
for(var i=0; i<numEdges; ++i) {
var e = edges[i]
adj[e[0]].push(e[1])
adj[e[1]].push(e[0])
}
for(var j=0; j<numVertices; ++j) {
uniq(adj[j], function(a, b) {
return a - b
})
}
return adj
}
},{"uniq":259}],72:[function(require,module,exports){
module.exports = getSize
function getSize(element) {
// Handle cases where the element is not already
// attached to the DOM by briefly appending it
// to document.body, and removing it again later.
if (element === window || element === document.body) {
return [window.innerWidth, window.innerHeight]
}
if (!element.parentNode) {
var temporary = true
document.body.appendChild(element)
}
var bounds = element.getBoundingClientRect()
var styles = getComputedStyle(element)
var height = (bounds.height|0)
+ parse(styles.getPropertyValue('margin-top'))
+ parse(styles.getPropertyValue('margin-bottom'))
var width = (bounds.width|0)
+ parse(styles.getPropertyValue('margin-left'))
+ parse(styles.getPropertyValue('margin-right'))
if (temporary) {
document.body.removeChild(element)
}
return [width, height]
}
function parse(prop) {
return parseFloat(prop) || 0
}
},{}],73:[function(require,module,exports){
'use strict'
module.exports = createFilteredVector
var cubicHermite = require('cubic-hermite')
var bsearch = require('binary-search-bounds')
function clamp(lo, hi, x) {
return Math.min(hi, Math.max(lo, x))
}
function FilteredVector(state0, velocity0, t0) {
this.dimension = state0.length
this.bounds = [ new Array(this.dimension), new Array(this.dimension) ]
for(var i=0; i<this.dimension; ++i) {
this.bounds[0][i] = -Infinity
this.bounds[1][i] = Infinity
}
this._state = state0.slice().reverse()
this._velocity = velocity0.slice().reverse()
this._time = [ t0 ]
this._scratch = [ state0.slice(), state0.slice(), state0.slice(), state0.slice(), state0.slice() ]
}
var proto = FilteredVector.prototype
proto.flush = function(t) {
var idx = bsearch.gt(this._time, t) - 1
if(idx <= 0) {
return
}
this._time.splice(0, idx)
this._state.splice(0, idx * this.dimension)
this._velocity.splice(0, idx * this.dimension)
}
proto.curve = function(t) {
var time = this._time
var n = time.length
var idx = bsearch.le(time, t)
var result = this._scratch[0]
var state = this._state
var velocity = this._velocity
var d = this.dimension
var bounds = this.bounds
if(idx < 0) {
var ptr = d-1
for(var i=0; i<d; ++i, --ptr) {
result[i] = state[ptr]
}
} else if(idx >= n-1) {
var ptr = state.length-1
var tf = t - time[n-1]
for(var i=0; i<d; ++i, --ptr) {
result[i] = state[ptr] + tf * velocity[ptr]
}
} else {
var ptr = d * (idx+1) - 1
var t0 = time[idx]
var t1 = time[idx+1]
var dt = (t1 - t0) || 1.0
var x0 = this._scratch[1]
var x1 = this._scratch[2]
var v0 = this._scratch[3]
var v1 = this._scratch[4]
var steady = true
for(var i=0; i<d; ++i, --ptr) {
x0[i] = state[ptr]
v0[i] = velocity[ptr] * dt
x1[i] = state[ptr+d]
v1[i] = velocity[ptr+d] * dt
steady = steady && (x0[i] === x1[i] && v0[i] === v1[i] && v0[i] === 0.0)
}
if(steady) {
for(var i=0; i<d; ++i) {
result[i] = x0[i]
}
} else {
cubicHermite(x0, v0, x1, v1, (t-t0)/dt, result)
}
}
var lo = bounds[0]
var hi = bounds[1]
for(var i=0; i<d; ++i) {
result[i] = clamp(lo[i], hi[i], result[i])
}
return result
}
proto.dcurve = function(t) {
var time = this._time
var n = time.length
var idx = bsearch.le(time, t)
var result = this._scratch[0]
var state = this._state
var velocity = this._velocity
var d = this.dimension
if(idx >= n-1) {
var ptr = state.length-1
var tf = t - time[n-1]
for(var i=0; i<d; ++i, --ptr) {
result[i] = velocity[ptr]
}
} else {
var ptr = d * (idx+1) - 1
var t0 = time[idx]
var t1 = time[idx+1]
var dt = (t1 - t0) || 1.0
var x0 = this._scratch[1]
var x1 = this._scratch[2]
var v0 = this._scratch[3]
var v1 = this._scratch[4]
var steady = true
for(var i=0; i<d; ++i, --ptr) {
x0[i] = state[ptr]
v0[i] = velocity[ptr] * dt
x1[i] = state[ptr+d]
v1[i] = velocity[ptr+d] * dt
steady = steady && (x0[i] === x1[i] && v0[i] === v1[i] && v0[i] === 0.0)
}
if(steady) {
for(var i=0; i<d; ++i) {
result[i] = 0.0
}
} else {
cubicHermite.derivative(x0, v0, x1, v1, (t-t0)/dt, result)
for(var i=0; i<d; ++i) {
result[i] /= dt
}
}
}
return result
}
proto.lastT = function() {
var time = this._time
return time[time.length-1]
}
proto.stable = function() {
var velocity = this._velocity
var ptr = velocity.length
for(var i=this.dimension-1; i>=0; --i) {
if(velocity[--ptr]) {
return false
}
}
return true
}
proto.jump = function(t) {
var t0 = this.lastT()
var d = this.dimension
if(t < t0 || arguments.length !== d+1) {
return
}
var state = this._state
var velocity = this._velocity
var ptr = state.length-this.dimension
var bounds = this.bounds
var lo = bounds[0]
var hi = bounds[1]
this._time.push(t0, t)
for(var j=0; j<2; ++j) {
for(var i=0; i<d; ++i) {
state.push(state[ptr++])
velocity.push(0)
}
}
this._time.push(t)
for(var i=d; i>0; --i) {
state.push(clamp(lo[i-1], hi[i-1], arguments[i]))
velocity.push(0)
}
}
proto.push = function(t) {
var t0 = this.lastT()
var d = this.dimension
if(t < t0 || arguments.length !== d+1) {
return
}
var state = this._state
var velocity = this._velocity
var ptr = state.length-this.dimension
var dt = t - t0
var bounds = this.bounds
var lo = bounds[0]
var hi = bounds[1]
var sf = (dt > 1e-6) ? 1/dt : 0
this._time.push(t)
for(var i=d; i>0; --i) {
var xc = clamp(lo[i-1], hi[i-1], arguments[i])
state.push(xc)
velocity.push((xc - state[ptr++]) * sf)
}
}
proto.set = function(t) {
var d = this.dimension
if(t < this.lastT() || arguments.length !== d+1) {
return
}
var state = this._state
var velocity = this._velocity
var bounds = this.bounds
var lo = bounds[0]
var hi = bounds[1]
this._time.push(t)
for(var i=d; i>0; --i) {
state.push(clamp(lo[i-1], hi[i-1], arguments[i]))
velocity.push(0)
}
}
proto.move = function(t) {
var t0 = this.lastT()
var d = this.dimension
if(t <= t0 || arguments.length !== d+1) {
return
}
var state = this._state
var velocity = this._velocity
var statePtr = state.length - this.dimension
var bounds = this.bounds
var lo = bounds[0]
var hi = bounds[1]
var dt = t - t0
var sf = (dt > 1e-6) ? 1/dt : 0.0
this._time.push(t)
for(var i=d; i>0; --i) {
var dx = arguments[i]
state.push(clamp(lo[i-1], hi[i-1], state[statePtr++] + dx))
velocity.push(dx * sf)
}
}
proto.idle = function(t) {
var t0 = this.lastT()
if(t < t0) {
return
}
var d = this.dimension
var state = this._state
var velocity = this._velocity
var statePtr = state.length-d
var bounds = this.bounds
var lo = bounds[0]
var hi = bounds[1]
var dt = t - t0
this._time.push(t)
for(var i=d-1; i>=0; --i) {
state.push(clamp(lo[i], hi[i], state[statePtr] + dt * velocity[statePtr]))
velocity.push(0)
statePtr += 1
}
}
function getZero(d) {
var result = new Array(d)
for(var i=0; i<d; ++i) {
result[i] = 0.0
}
return result
}
function createFilteredVector(initState, initVelocity, initTime) {
switch(arguments.length) {
case 0:
return new FilteredVector([0], [0], 0)
case 1:
if(typeof initState === 'number') {
var zero = getZero(initState)
return new FilteredVector(zero, zero, 0)
} else {
return new FilteredVector(initState, getZero(initState.length), 0)
}
case 2:
if(typeof initVelocity === 'number') {
var zero = getZero(initState.length)
return new FilteredVector(initState, zero, +initVelocity)
} else {
initTime = 0
}
case 3:
if(initState.length !== initVelocity.length) {
throw new Error('state and velocity lengths must match')
}
return new FilteredVector(initState, initVelocity, initTime)
}
}
},{"binary-search-bounds":35,"cubic-hermite":64}],74:[function(require,module,exports){
"use strict"
module.exports = createRBTree
var RED = 0
var BLACK = 1
function RBNode(color, key, value, left, right, count) {
this._color = color
this.key = key
this.value = value
this.left = left
this.right = right
this._count = count
}
function cloneNode(node) {
return new RBNode(node._color, node.key, node.value, node.left, node.right, node._count)
}
function repaint(color, node) {
return new RBNode(color, node.key, node.value, node.left, node.right, node._count)
}
function recount(node) {
node._count = 1 + (node.left ? node.left._count : 0) + (node.right ? node.right._count : 0)
}
function RedBlackTree(compare, root) {
this._compare = compare
this.root = root
}
var proto = RedBlackTree.prototype
Object.defineProperty(proto, "keys", {
get: function() {
var result = []
this.forEach(function(k,v) {
result.push(k)
})
return result
}
})
Object.defineProperty(proto, "values", {
get: function() {
var result = []
this.forEach(function(k,v) {
result.push(v)
})
return result
}
})
//Returns the number of nodes in the tree
Object.defineProperty(proto, "length", {
get: function() {
if(this.root) {
return this.root._count
}
return 0
}
})
//Insert a new item into the tree
proto.insert = function(key, value) {
var cmp = this._compare
//Find point to insert new node at
var n = this.root
var n_stack = []
var d_stack = []
while(n) {
var d = cmp(key, n.key)
n_stack.push(n)
d_stack.push(d)
if(d <= 0) {
n = n.left
} else {
n = n.right
}
}
//Rebuild path to leaf node
n_stack.push(new RBNode(RED, key, value, null, null, 1))
for(var s=n_stack.length-2; s>=0; --s) {
var n = n_stack[s]
if(d_stack[s] <= 0) {
n_stack[s] = new RBNode(n._color, n.key, n.value, n_stack[s+1], n.right, n._count+1)
} else {
n_stack[s] = new RBNode(n._color, n.key, n.value, n.left, n_stack[s+1], n._count+1)
}
}
//Rebalance tree using rotations
//console.log("start insert", key, d_stack)
for(var s=n_stack.length-1; s>1; --s) {
var p = n_stack[s-1]
var n = n_stack[s]
if(p._color === BLACK || n._color === BLACK) {
break
}
var pp = n_stack[s-2]
if(pp.left === p) {
if(p.left === n) {
var y = pp.right
if(y && y._color === RED) {
//console.log("LLr")
p._color = BLACK
pp.right = repaint(BLACK, y)
pp._color = RED
s -= 1
} else {
//console.log("LLb")
pp._color = RED
pp.left = p.right
p._color = BLACK
p.right = pp
n_stack[s-2] = p
n_stack[s-1] = n
recount(pp)
recount(p)
if(s >= 3) {
var ppp = n_stack[s-3]
if(ppp.left === pp) {
ppp.left = p
} else {
ppp.right = p
}
}
break
}
} else {
var y = pp.right
if(y && y._color === RED) {
//console.log("LRr")
p._color = BLACK
pp.right = repaint(BLACK, y)
pp._color = RED
s -= 1
} else {
//console.log("LRb")
p.right = n.left
pp._color = RED
pp.left = n.right
n._color = BLACK
n.left = p
n.right = pp
n_stack[s-2] = n
n_stack[s-1] = p
recount(pp)
recount(p)
recount(n)
if(s >= 3) {
var ppp = n_stack[s-3]
if(ppp.left === pp) {
ppp.left = n
} else {
ppp.right = n
}
}
break
}
}
} else {
if(p.right === n) {
var y = pp.left
if(y && y._color === RED) {
//console.log("RRr", y.key)
p._color = BLACK
pp.left = repaint(BLACK, y)
pp._color = RED
s -= 1
} else {
//console.log("RRb")
pp._color = RED
pp.right = p.left
p._color = BLACK
p.left = pp
n_stack[s-2] = p
n_stack[s-1] = n
recount(pp)
recount(p)
if(s >= 3) {
var ppp = n_stack[s-3]
if(ppp.right === pp) {
ppp.right = p
} else {
ppp.left = p
}
}
break
}
} else {
var y = pp.left
if(y && y._color === RED) {
//console.log("RLr")
p._color = BLACK
pp.left = repaint(BLACK, y)
pp._color = RED
s -= 1
} else {
//console.log("RLb")
p.left = n.right
pp._color = RED
pp.right = n.left
n._color = BLACK
n.right = p
n.left = pp
n_stack[s-2] = n
n_stack[s-1] = p
recount(pp)
recount(p)
recount(n)
if(s >= 3) {
var ppp = n_stack[s-3]
if(ppp.right === pp) {
ppp.right = n
} else {
ppp.left = n
}
}
break
}
}
}
}
//Return new tree
n_stack[0]._color = BLACK
return new RedBlackTree(cmp, n_stack[0])
}
//Visit all nodes inorder
function doVisitFull(visit, node) {
if(node.left) {
var v = doVisitFull(visit, node.left)
if(v) { return v }
}
var v = visit(node.key, node.value)
if(v) { return v }
if(node.right) {
return doVisitFull(visit, node.right)
}
}
//Visit half nodes in order
function doVisitHalf(lo, compare, visit, node) {
var l = compare(lo, node.key)
if(l <= 0) {
if(node.left) {
var v = doVisitHalf(lo, compare, visit, node.left)
if(v) { return v }
}
var v = visit(node.key, node.value)
if(v) { return v }
}
if(node.right) {
return doVisitHalf(lo, compare, visit, node.right)
}
}
//Visit all nodes within a range
function doVisit(lo, hi, compare, visit, node) {
var l = compare(lo, node.key)
var h = compare(hi, node.key)
var v
if(l <= 0) {
if(node.left) {
v = doVisit(lo, hi, compare, visit, node.left)
if(v) { return v }
}
if(h > 0) {
v = visit(node.key, node.value)
if(v) { return v }
}
}
if(h > 0 && node.right) {
return doVisit(lo, hi, compare, visit, node.right)
}
}
proto.forEach = function rbTreeForEach(visit, lo, hi) {
if(!this.root) {
return
}
switch(arguments.length) {
case 1:
return doVisitFull(visit, this.root)
break
case 2:
return doVisitHalf(lo, this._compare, visit, this.root)
break
case 3:
if(this._compare(lo, hi) >= 0) {
return
}
return doVisit(lo, hi, this._compare, visit, this.root)
break
}
}
//First item in list
Object.defineProperty(proto, "begin", {
get: function() {
var stack = []
var n = this.root
while(n) {
stack.push(n)
n = n.left
}
return new RedBlackTreeIterator(this, stack)
}
})
//Last item in list
Object.defineProperty(proto, "end", {
get: function() {
var stack = []
var n = this.root
while(n) {
stack.push(n)
n = n.right
}
return new RedBlackTreeIterator(this, stack)
}
})
//Find the ith item in the tree
proto.at = function(idx) {
if(idx < 0) {
return new RedBlackTreeIterator(this, [])
}
var n = this.root
var stack = []
while(true) {
stack.push(n)
if(n.left) {
if(idx < n.left._count) {
n = n.left
continue
}
idx -= n.left._count
}
if(!idx) {
return new RedBlackTreeIterator(this, stack)
}
idx -= 1
if(n.right) {
if(idx >= n.right._count) {
break
}
n = n.right
} else {
break
}
}
return new RedBlackTreeIterator(this, [])
}
proto.ge = function(key) {
var cmp = this._compare
var n = this.root
var stack = []
var last_ptr = 0
while(n) {
var d = cmp(key, n.key)
stack.push(n)
if(d <= 0) {
last_ptr = stack.length
}
if(d <= 0) {
n = n.left
} else {
n = n.right
}
}
stack.length = last_ptr
return new RedBlackTreeIterator(this, stack)
}
proto.gt = function(key) {
var cmp = this._compare
var n = this.root
var stack = []
var last_ptr = 0
while(n) {
var d = cmp(key, n.key)
stack.push(n)
if(d < 0) {
last_ptr = stack.length
}
if(d < 0) {
n = n.left
} else {
n = n.right
}
}
stack.length = last_ptr
return new RedBlackTreeIterator(this, stack)
}
proto.lt = function(key) {
var cmp = this._compare
var n = this.root
var stack = []
var last_ptr = 0
while(n) {
var d = cmp(key, n.key)
stack.push(n)
if(d > 0) {
last_ptr = stack.length
}
if(d <= 0) {
n = n.left
} else {
n = n.right
}
}
stack.length = last_ptr
return new RedBlackTreeIterator(this, stack)
}
proto.le = function(key) {
var cmp = this._compare
var n = this.root
var stack = []
var last_ptr = 0
while(n) {
var d = cmp(key, n.key)
stack.push(n)
if(d >= 0) {
last_ptr = stack.length
}
if(d < 0) {
n = n.left
} else {
n = n.right
}
}
stack.length = last_ptr
return new RedBlackTreeIterator(this, stack)
}
//Finds the item with key if it exists
proto.find = function(key) {
var cmp = this._compare
var n = this.root
var stack = []
while(n) {
var d = cmp(key, n.key)
stack.push(n)
if(d === 0) {
return new RedBlackTreeIterator(this, stack)
}
if(d <= 0) {
n = n.left
} else {
n = n.right
}
}
return new RedBlackTreeIterator(this, [])
}
//Removes item with key from tree
proto.remove = function(key) {
var iter = this.find(key)
if(iter) {
return iter.remove()
}
return this
}
//Returns the item at `key`
proto.get = function(key) {
var cmp = this._compare
var n = this.root
while(n) {
var d = cmp(key, n.key)
if(d === 0) {
return n.value
}
if(d <= 0) {
n = n.left
} else {
n = n.right
}
}
return
}
//Iterator for red black tree
function RedBlackTreeIterator(tree, stack) {
this.tree = tree
this._stack = stack
}
var iproto = RedBlackTreeIterator.prototype
//Test if iterator is valid
Object.defineProperty(iproto, "valid", {
get: function() {
return this._stack.length > 0
}
})
//Node of the iterator
Object.defineProperty(iproto, "node", {
get: function() {
if(this._stack.length > 0) {
return this._stack[this._stack.length-1]
}
return null
},
enumerable: true
})
//Makes a copy of an iterator
iproto.clone = function() {
return new RedBlackTreeIterator(this.tree, this._stack.slice())
}
//Swaps two nodes
function swapNode(n, v) {
n.key = v.key
n.value = v.value
n.left = v.left
n.right = v.right
n._color = v._color
n._count = v._count
}
//Fix up a double black node in a tree
function fixDoubleBlack(stack) {
var n, p, s, z
for(var i=stack.length-1; i>=0; --i) {
n = stack[i]
if(i === 0) {
n._color = BLACK
return
}
//console.log("visit node:", n.key, i, stack[i].key, stack[i-1].key)
p = stack[i-1]
if(p.left === n) {
//console.log("left child")
s = p.right
if(s.right && s.right._color === RED) {
//console.log("case 1: right sibling child red")
s = p.right = cloneNode(s)
z = s.right = cloneNode(s.right)
p.right = s.left
s.left = p
s.right = z
s._color = p._color
n._color = BLACK
p._color = BLACK
z._color = BLACK
recount(p)
recount(s)
if(i > 1) {
var pp = stack[i-2]
if(pp.left === p) {
pp.left = s
} else {
pp.right = s
}
}
stack[i-1] = s
return
} else if(s.left && s.left._color === RED) {
//console.log("case 1: left sibling child red")
s = p.right = cloneNode(s)
z = s.left = cloneNode(s.left)
p.right = z.left
s.left = z.right
z.left = p
z.right = s
z._color = p._color
p._color = BLACK
s._color = BLACK
n._color = BLACK
recount(p)
recount(s)
recount(z)
if(i > 1) {
var pp = stack[i-2]
if(pp.left === p) {
pp.left = z
} else {
pp.right = z
}
}
stack[i-1] = z
return
}
if(s._color === BLACK) {
if(p._color === RED) {
//console.log("case 2: black sibling, red parent", p.right.value)
p._color = BLACK
p.right = repaint(RED, s)
return
} else {
//console.log("case 2: black sibling, black parent", p.right.value)
p.right = repaint(RED, s)
continue
}
} else {
//console.log("case 3: red sibling")
s = cloneNode(s)
p.right = s.left
s.left = p
s._color = p._color
p._color = RED
recount(p)
recount(s)
if(i > 1) {
var pp = stack[i-2]
if(pp.left === p) {
pp.left = s
} else {
pp.right = s
}
}
stack[i-1] = s
stack[i] = p
if(i+1 < stack.length) {
stack[i+1] = n
} else {
stack.push(n)
}
i = i+2
}
} else {
//console.log("right child")
s = p.left
if(s.left && s.left._color === RED) {
//console.log("case 1: left sibling child red", p.value, p._color)
s = p.left = cloneNode(s)
z = s.left = cloneNode(s.left)
p.left = s.right
s.right = p
s.left = z
s._color = p._color
n._color = BLACK
p._color = BLACK
z._color = BLACK
recount(p)
recount(s)
if(i > 1) {
var pp = stack[i-2]
if(pp.right === p) {
pp.right = s
} else {
pp.left = s
}
}
stack[i-1] = s
return
} else if(s.right && s.right._color === RED) {
//console.log("case 1: right sibling child red")
s = p.left = cloneNode(s)
z = s.right = cloneNode(s.right)
p.left = z.right
s.right = z.left
z.right = p
z.left = s
z._color = p._color
p._color = BLACK
s._color = BLACK
n._color = BLACK
recount(p)
recount(s)
recount(z)
if(i > 1) {
var pp = stack[i-2]
if(pp.right === p) {
pp.right = z
} else {
pp.left = z
}
}
stack[i-1] = z
return
}
if(s._color === BLACK) {
if(p._color === RED) {
//console.log("case 2: black sibling, red parent")
p._color = BLACK
p.left = repaint(RED, s)
return
} else {
//console.log("case 2: black sibling, black parent")
p.left = repaint(RED, s)
continue
}
} else {
//console.log("case 3: red sibling")
s = cloneNode(s)
p.left = s.right
s.right = p
s._color = p._color
p._color = RED
recount(p)
recount(s)
if(i > 1) {
var pp = stack[i-2]
if(pp.right === p) {
pp.right = s
} else {
pp.left = s
}
}
stack[i-1] = s
stack[i] = p
if(i+1 < stack.length) {
stack[i+1] = n
} else {
stack.push(n)
}
i = i+2
}
}
}
}
//Removes item at iterator from tree
iproto.remove = function() {
var stack = this._stack
if(stack.length === 0) {
return this.tree
}
//First copy path to node
var cstack = new Array(stack.length)
var n = stack[stack.length-1]
cstack[cstack.length-1] = new RBNode(n._color, n.key, n.value, n.left, n.right, n._count)
for(var i=stack.length-2; i>=0; --i) {
var n = stack[i]
if(n.left === stack[i+1]) {
cstack[i] = new RBNode(n._color, n.key, n.value, cstack[i+1], n.right, n._count)
} else {
cstack[i] = new RBNode(n._color, n.key, n.value, n.left, cstack[i+1], n._count)
}
}
//Get node
n = cstack[cstack.length-1]
//console.log("start remove: ", n.value)
//If not leaf, then swap with previous node
if(n.left && n.right) {
//console.log("moving to leaf")
//First walk to previous leaf
var split = cstack.length
n = n.left
while(n.right) {
cstack.push(n)
n = n.right
}
//Copy path to leaf
var v = cstack[split-1]
cstack.push(new RBNode(n._color, v.key, v.value, n.left, n.right, n._count))
cstack[split-1].key = n.key
cstack[split-1].value = n.value
//Fix up stack
for(var i=cstack.length-2; i>=split; --i) {
n = cstack[i]
cstack[i] = new RBNode(n._color, n.key, n.value, n.left, cstack[i+1], n._count)
}
cstack[split-1].left = cstack[split]
}
//console.log("stack=", cstack.map(function(v) { return v.value }))
//Remove leaf node
n = cstack[cstack.length-1]
if(n._color === RED) {
//Easy case: removing red leaf
//console.log("RED leaf")
var p = cstack[cstack.length-2]
if(p.left === n) {
p.left = null
} else if(p.right === n) {
p.right = null
}
cstack.pop()
for(var i=0; i<cstack.length; ++i) {
cstack[i]._count--
}
return new RedBlackTree(this.tree._compare, cstack[0])
} else {
if(n.left || n.right) {
//Second easy case: Single child black parent
//console.log("BLACK single child")
if(n.left) {
swapNode(n, n.left)
} else if(n.right) {
swapNode(n, n.right)
}
//Child must be red, so repaint it black to balance color
n._color = BLACK
for(var i=0; i<cstack.length-1; ++i) {
cstack[i]._count--
}
return new RedBlackTree(this.tree._compare, cstack[0])
} else if(cstack.length === 1) {
//Third easy case: root
//console.log("ROOT")
return new RedBlackTree(this.tree._compare, null)
} else {
//Hard case: Repaint n, and then do some nasty stuff
//console.log("BLACK leaf no children")
for(var i=0; i<cstack.length; ++i) {
cstack[i]._count--
}
var parent = cstack[cstack.length-2]
fixDoubleBlack(cstack)
//Fix up links
if(parent.left === n) {
parent.left = null
} else {
parent.right = null
}
}
}
return new RedBlackTree(this.tree._compare, cstack[0])
}
//Returns key
Object.defineProperty(iproto, "key", {
get: function() {
if(this._stack.length > 0) {
return this._stack[this._stack.length-1].key
}
return
},
enumerable: true
})
//Returns value
Object.defineProperty(iproto, "value", {
get: function() {
if(this._stack.length > 0) {
return this._stack[this._stack.length-1].value
}
return
},
enumerable: true
})
//Returns the position of this iterator in the sorted list
Object.defineProperty(iproto, "index", {
get: function() {
var idx = 0
var stack = this._stack
if(stack.length === 0) {
var r = this.tree.root
if(r) {
return r._count
}
return 0
} else if(stack[stack.length-1].left) {
idx = stack[stack.length-1].left._count
}
for(var s=stack.length-2; s>=0; --s) {
if(stack[s+1] === stack[s].right) {
++idx
if(stack[s].left) {
idx += stack[s].left._count
}
}
}
return idx
},
enumerable: true
})
//Advances iterator to next element in list
iproto.next = function() {
var stack = this._stack
if(stack.length === 0) {
return
}
var n = stack[stack.length-1]
if(n.right) {
n = n.right
while(n) {
stack.push(n)
n = n.left
}
} else {
stack.pop()
while(stack.length > 0 && stack[stack.length-1].right === n) {
n = stack[stack.length-1]
stack.pop()
}
}
}
//Checks if iterator is at end of tree
Object.defineProperty(iproto, "hasNext", {
get: function() {
var stack = this._stack
if(stack.length === 0) {
return false
}
if(stack[stack.length-1].right) {
return true
}
for(var s=stack.length-1; s>0; --s) {
if(stack[s-1].left === stack[s]) {
return true
}
}
return false
}
})
//Update value
iproto.update = function(value) {
var stack = this._stack
if(stack.length === 0) {
throw new Error("Can't update empty node!")
}
var cstack = new Array(stack.length)
var n = stack[stack.length-1]
cstack[cstack.length-1] = new RBNode(n._color, n.key, value, n.left, n.right, n._count)
for(var i=stack.length-2; i>=0; --i) {
n = stack[i]
if(n.left === stack[i+1]) {
cstack[i] = new RBNode(n._color, n.key, n.value, cstack[i+1], n.right, n._count)
} else {
cstack[i] = new RBNode(n._color, n.key, n.value, n.left, cstack[i+1], n._count)
}
}
return new RedBlackTree(this.tree._compare, cstack[0])
}
//Moves iterator backward one element
iproto.prev = function() {
var stack = this._stack
if(stack.length === 0) {
return
}
var n = stack[stack.length-1]
if(n.left) {
n = n.left
while(n) {
stack.push(n)
n = n.right
}
} else {
stack.pop()
while(stack.length > 0 && stack[stack.length-1].left === n) {
n = stack[stack.length-1]
stack.pop()
}
}
}
//Checks if iterator is at start of tree
Object.defineProperty(iproto, "hasPrev", {
get: function() {
var stack = this._stack
if(stack.length === 0) {
return false
}
if(stack[stack.length-1].left) {
return true
}
for(var s=stack.length-1; s>0; --s) {
if(stack[s-1].right === stack[s]) {
return true
}
}
return false
}
})
//Default comparison function
function defaultCompare(a, b) {
if(a < b) {
return -1
}
if(a > b) {
return 1
}
return 0
}
//Build a tree
function createRBTree(compare) {
return new RedBlackTree(compare || defaultCompare, null)
}
},{}],75:[function(require,module,exports){
// transliterated from the python snippet here:
// http://en.wikipedia.org/wiki/Lanczos_approximation
var g = 7;
var p = [
0.99999999999980993,
676.5203681218851,
-1259.1392167224028,
771.32342877765313,
-176.61502916214059,
12.507343278686905,
-0.13857109526572012,
9.9843695780195716e-6,
1.5056327351493116e-7
];
var g_ln = 607/128;
var p_ln = [
0.99999999999999709182,
57.156235665862923517,
-59.597960355475491248,
14.136097974741747174,
-0.49191381609762019978,
0.33994649984811888699e-4,
0.46523628927048575665e-4,
-0.98374475304879564677e-4,
0.15808870322491248884e-3,
-0.21026444172410488319e-3,
0.21743961811521264320e-3,
-0.16431810653676389022e-3,
0.84418223983852743293e-4,
-0.26190838401581408670e-4,
0.36899182659531622704e-5
];
// Spouge approximation (suitable for large arguments)
function lngamma(z) {
if(z < 0) return Number('0/0');
var x = p_ln[0];
for(var i = p_ln.length - 1; i > 0; --i) x += p_ln[i] / (z + i);
var t = z + g_ln + 0.5;
return .5*Math.log(2*Math.PI)+(z+.5)*Math.log(t)-t+Math.log(x)-Math.log(z);
}
module.exports = function gamma (z) {
if (z < 0.5) {
return Math.PI / (Math.sin(Math.PI * z) * gamma(1 - z));
}
else if(z > 100) return Math.exp(lngamma(z));
else {
z -= 1;
var x = p[0];
for (var i = 1; i < g + 2; i++) {
x += p[i] / (z + i);
}
var t = z + g + 0.5;
return Math.sqrt(2 * Math.PI)
* Math.pow(t, z + 0.5)
* Math.exp(-t)
* x
;
}
};
module.exports.log = lngamma;
},{}],76:[function(require,module,exports){
'use strict'
module.exports = createAxes
var createText = require('./lib/text.js')
var createLines = require('./lib/lines.js')
var createBackground = require('./lib/background.js')
var getCubeProperties = require('./lib/cube.js')
var Ticks = require('./lib/ticks.js')
var identity = new Float32Array([
1, 0, 0, 0,
0, 1, 0, 0,
0, 0, 1, 0,
0, 0, 0, 1])
function copyVec3(a, b) {
a[0] = b[0]
a[1] = b[1]
a[2] = b[2]
return a
}
function Axes(gl) {
this.gl = gl
this.pixelRatio = 1
this.bounds = [ [-10, -10, -10],
[ 10, 10, 10] ]
this.ticks = [ [], [], [] ]
this.autoTicks = true
this.tickSpacing = [ 1, 1, 1 ]
this.tickEnable = [ true, true, true ]
this.tickFont = [ 'sans-serif', 'sans-serif', 'sans-serif' ]
this.tickSize = [ 12, 12, 12 ]
this.tickAngle = [ 0, 0, 0 ]
this.tickColor = [ [0,0,0,1], [0,0,0,1], [0,0,0,1] ]
this.tickPad = [ 10, 10, 10 ]
this.lastCubeProps = {
cubeEdges: [0,0,0],
axis: [0,0,0]
}
this.labels = [ 'x', 'y', 'z' ]
this.labelEnable = [ true, true, true ]
this.labelFont = 'sans-serif'
this.labelSize = [ 20, 20, 20 ]
this.labelAngle = [ 0, 0, 0 ]
this.labelColor = [ [0,0,0,1], [0,0,0,1], [0,0,0,1] ]
this.labelPad = [ 10, 10, 10 ]
this.lineEnable = [ true, true, true ]
this.lineMirror = [ false, false, false ]
this.lineWidth = [ 1, 1, 1 ]
this.lineColor = [ [0,0,0,1], [0,0,0,1], [0,0,0,1] ]
this.lineTickEnable = [ true, true, true ]
this.lineTickMirror = [ false, false, false ]
this.lineTickLength = [ 0, 0, 0 ]
this.lineTickWidth = [ 1, 1, 1 ]
this.lineTickColor = [ [0,0,0,1], [0,0,0,1], [0,0,0,1] ]
this.gridEnable = [ true, true, true ]
this.gridWidth = [ 1, 1, 1 ]
this.gridColor = [ [0,0,0,1], [0,0,0,1], [0,0,0,1] ]
this.zeroEnable = [ true, true, true ]
this.zeroLineColor = [ [0,0,0,1], [0,0,0,1], [0,0,0,1] ]
this.zeroLineWidth = [ 2, 2, 2 ]
this.backgroundEnable = [ false, false, false ]
this.backgroundColor = [ [0.8, 0.8, 0.8, 0.5],
[0.8, 0.8, 0.8, 0.5],
[0.8, 0.8, 0.8, 0.5] ]
this._firstInit = true
this._text = null
this._lines = null
this._background = createBackground(gl)
}
var proto = Axes.prototype
proto.update = function(options) {
options = options || {}
//Option parsing helper functions
function parseOption(nest, cons, name) {
if(name in options) {
var opt = options[name]
var prev = this[name]
var next
if(nest ? (Array.isArray(opt) && Array.isArray(opt[0])) :
Array.isArray(opt) ) {
this[name] = next = [ cons(opt[0]), cons(opt[1]), cons(opt[2]) ]
} else {
this[name] = next = [ cons(opt), cons(opt), cons(opt) ]
}
for(var i=0; i<3; ++i) {
if(next[i] !== prev[i]) {
return true
}
}
}
return false
}
var NUMBER = parseOption.bind(this, false, Number)
var BOOLEAN = parseOption.bind(this, false, Boolean)
var STRING = parseOption.bind(this, false, String)
var COLOR = parseOption.bind(this, true, function(v) {
if(Array.isArray(v)) {
if(v.length === 3) {
return [ +v[0], +v[1], +v[2], 1.0 ]
} else if(v.length === 4) {
return [ +v[0], +v[1], +v[2], +v[3] ]
}
}
return [ 0, 0, 0, 1 ]
})
//Tick marks and bounds
var nextTicks
var ticksUpdate = false
var boundsChanged = false
if('bounds' in options) {
var bounds = options.bounds
i_loop:
for(var i=0; i<2; ++i) {
for(var j=0; j<3; ++j) {
if(bounds[i][j] !== this.bounds[i][j]) {
boundsChanged = true
}
this.bounds[i][j] = bounds[i][j]
}
}
}
if('ticks' in options) {
nextTicks = options.ticks
ticksUpdate = true
this.autoTicks = false
for(var i=0; i<3; ++i) {
this.tickSpacing[i] = 0.0
}
} else if(NUMBER('tickSpacing')) {
this.autoTicks = true
boundsChanged = true
}
if(this._firstInit) {
if(!('ticks' in options || 'tickSpacing' in options)) {
this.autoTicks = true
}
//Force tick recomputation on first update
boundsChanged = true
ticksUpdate = true
this._firstInit = false
}
if(boundsChanged && this.autoTicks) {
nextTicks = Ticks.create(this.bounds, this.tickSpacing)
ticksUpdate = true
}
//Compare next ticks to previous ticks, only update if needed
if(ticksUpdate) {
for(var i=0; i<3; ++i) {
nextTicks[i].sort(function(a,b) {
return a.x-b.x
})
}
if(Ticks.equal(nextTicks, this.ticks)) {
ticksUpdate = false
} else {
this.ticks = nextTicks
}
}
//Parse tick properties
BOOLEAN('tickEnable')
if(STRING('tickFont')) {
ticksUpdate = true //If font changes, must rebuild vbo
}
NUMBER('tickSize')
NUMBER('tickAngle')
NUMBER('tickPad')
COLOR('tickColor')
//Axis labels
var labelUpdate = STRING('labels')
if(STRING('labelFont')) {
labelUpdate = true
}
BOOLEAN('labelEnable')
NUMBER('labelSize')
NUMBER('labelPad')
COLOR('labelColor')
//Axis lines
BOOLEAN('lineEnable')
BOOLEAN('lineMirror')
NUMBER('lineWidth')
COLOR('lineColor')
//Axis line ticks
BOOLEAN('lineTickEnable')
BOOLEAN('lineTickMirror')
NUMBER('lineTickLength')
NUMBER('lineTickWidth')
COLOR('lineTickColor')
//Grid lines
BOOLEAN('gridEnable')
NUMBER('gridWidth')
COLOR('gridColor')
//Zero line
BOOLEAN('zeroEnable')
COLOR('zeroLineColor')
NUMBER('zeroLineWidth')
//Background
BOOLEAN('backgroundEnable')
COLOR('backgroundColor')
//Update text if necessary
if(!this._text) {
this._text = createText(
this.gl,
this.bounds,
this.labels,
this.labelFont,
this.ticks,
this.tickFont)
} else if(this._text && (labelUpdate || ticksUpdate)) {
this._text.update(
this.bounds,
this.labels,
this.labelFont,
this.ticks,
this.tickFont)
}
//Update lines if necessary
if(this._lines && ticksUpdate) {
this._lines.dispose()
this._lines = null
}
if(!this._lines) {
this._lines = createLines(this.gl, this.bounds, this.ticks)
}
}
function OffsetInfo() {
this.primalOffset = [0,0,0]
this.primalMinor = [0,0,0]
this.mirrorOffset = [0,0,0]
this.mirrorMinor = [0,0,0]
}
var LINE_OFFSET = [ new OffsetInfo(), new OffsetInfo(), new OffsetInfo() ]
function computeLineOffset(result, i, bounds, cubeEdges, cubeAxis) {
var primalOffset = result.primalOffset
var primalMinor = result.primalMinor
var dualOffset = result.mirrorOffset
var dualMinor = result.mirrorMinor
var e = cubeEdges[i]
//Calculate offsets
for(var j=0; j<3; ++j) {
if(i === j) {
continue
}
var a = primalOffset,
b = dualOffset,
c = primalMinor,
d = dualMinor
if(e & (1<<j)) {
a = dualOffset
b = primalOffset
c = dualMinor
d = primalMinor
}
a[j] = bounds[0][j]
b[j] = bounds[1][j]
if(cubeAxis[j] > 0) {
c[j] = -1
d[j] = 0
} else {
c[j] = 0
d[j] = +1
}
}
}
var CUBE_ENABLE = [0,0,0]
var DEFAULT_PARAMS = {
model: identity,
view: identity,
projection: identity
}
proto.isOpaque = function() {
return true
}
proto.isTransparent = function() {
return false
}
proto.drawTransparent = function(params) {}
var PRIMAL_MINOR = [0,0,0]
var MIRROR_MINOR = [0,0,0]
var PRIMAL_OFFSET = [0,0,0]
proto.draw = function(params) {
params = params || DEFAULT_PARAMS
var gl = this.gl
//Geometry for camera and axes
var model = params.model || identity
var view = params.view || identity
var projection = params.projection || identity
var bounds = this.bounds
//Unpack axis info
var cubeParams = getCubeProperties(model, view, projection, bounds)
var cubeEdges = cubeParams.cubeEdges
var cubeAxis = cubeParams.axis
var cx = view[12]
var cy = view[13]
var cz = view[14]
var cw = view[15]
var pixelScaleF = this.pixelRatio * (projection[3]*cx + projection[7]*cy + projection[11]*cz + projection[15]*cw) / gl.drawingBufferHeight
for(var i=0; i<3; ++i) {
this.lastCubeProps.cubeEdges[i] = cubeEdges[i]
this.lastCubeProps.axis[i] = cubeAxis[i]
}
//Compute axis info
var lineOffset = LINE_OFFSET
for(var i=0; i<3; ++i) {
computeLineOffset(
LINE_OFFSET[i],
i,
this.bounds,
cubeEdges,
cubeAxis)
}
//Set up state parameters
var gl = this.gl
//Draw background first
var cubeEnable = CUBE_ENABLE
for(var i=0; i<3; ++i) {
if(this.backgroundEnable[i]) {
cubeEnable[i] = cubeAxis[i]
} else {
cubeEnable[i] = 0
}
}
this._background.draw(
model,
view,
projection,
bounds,
cubeEnable,
this.backgroundColor)
//Draw lines
this._lines.bind(
model,
view,
projection,
this)
//First draw grid lines and zero lines
for(var i=0; i<3; ++i) {
var x = [0,0,0]
if(cubeAxis[i] > 0) {
x[i] = bounds[1][i]
} else {
x[i] = bounds[0][i]
}
//Draw grid lines
for(var j=0; j<2; ++j) {
var u = (i + 1 + j) % 3
var v = (i + 1 + (j^1)) % 3
if(this.gridEnable[u]) {
this._lines.drawGrid(u, v, this.bounds, x, this.gridColor[u], this.gridWidth[u]*this.pixelRatio)
}
}
//Draw zero lines (need to do this AFTER all grid lines are drawn)
for(var j=0; j<2; ++j) {
var u = (i + 1 + j) % 3
var v = (i + 1 + (j^1)) % 3
if(this.zeroEnable[v]) {
//Check if zero line in bounds
if(bounds[0][v] <= 0 && bounds[1][v] >= 0) {
this._lines.drawZero(u, v, this.bounds, x, this.zeroLineColor[v], this.zeroLineWidth[v]*this.pixelRatio)
}
}
}
}
//Then draw axis lines and tick marks
for(var i=0; i<3; ++i) {
//Draw axis lines
if(this.lineEnable[i]) {
this._lines.drawAxisLine(i, this.bounds, lineOffset[i].primalOffset, this.lineColor[i], this.lineWidth[i]*this.pixelRatio)
}
if(this.lineMirror[i]) {
this._lines.drawAxisLine(i, this.bounds, lineOffset[i].mirrorOffset, this.lineColor[i], this.lineWidth[i]*this.pixelRatio)
}
//Compute minor axes
var primalMinor = copyVec3(PRIMAL_MINOR, lineOffset[i].primalMinor)
var mirrorMinor = copyVec3(MIRROR_MINOR, lineOffset[i].mirrorMinor)
var tickLength = this.lineTickLength
var op = 0
for(var j=0; j<3; ++j) {
var scaleFactor = pixelScaleF / model[5*j]
primalMinor[j] *= tickLength[j] * scaleFactor
mirrorMinor[j] *= tickLength[j] * scaleFactor
}
//Draw axis line ticks
if(this.lineTickEnable[i]) {
this._lines.drawAxisTicks(i, lineOffset[i].primalOffset, primalMinor, this.lineTickColor[i], this.lineTickWidth[i]*this.pixelRatio)
}
if(this.lineTickMirror[i]) {
this._lines.drawAxisTicks(i, lineOffset[i].mirrorOffset, mirrorMinor, this.lineTickColor[i], this.lineTickWidth[i]*this.pixelRatio)
}
}
//Draw text sprites
this._text.bind(
model,
view,
projection,
this.pixelRatio)
for(var i=0; i<3; ++i) {
var minor = lineOffset[i].primalMinor
var offset = copyVec3(PRIMAL_OFFSET, lineOffset[i].primalOffset)
for(var j=0; j<3; ++j) {
if(this.lineTickEnable[i]) {
offset[j] += pixelScaleF * minor[j] * Math.max(this.lineTickLength[j], 0) / model[5*j]
}
}
//Draw tick text
if(this.tickEnable[i]) {
//Add tick padding
for(var j=0; j<3; ++j) {
offset[j] += pixelScaleF * minor[j] * this.tickPad[j] / model[5*j]
}
//Draw axis
this._text.drawTicks(
i,
this.tickSize[i],
this.tickAngle[i],
offset,
this.tickColor[i])
}
//Draw labels
if(this.labelEnable[i]) {
//Add label padding
for(var j=0; j<3; ++j) {
offset[j] += pixelScaleF * minor[j] * this.labelPad[j] / model[5*j]
}
offset[i] += 0.5 * (bounds[0][i] + bounds[1][i])
//Draw axis
this._text.drawLabel(
i,
this.labelSize[i],
this.labelAngle[i],
offset,
this.labelColor[i])
}
}
}
proto.dispose = function() {
this._text.dispose()
this._lines.dispose()
this._background.dispose()
this._lines = null
this._text = null
this._background = null
this.gl = null
}
function createAxes(gl, options) {
var axes = new Axes(gl)
axes.update(options)
return axes
}
},{"./lib/background.js":77,"./lib/cube.js":78,"./lib/lines.js":79,"./lib/text.js":81,"./lib/ticks.js":82}],77:[function(require,module,exports){
'use strict'
module.exports = createBackgroundCube
var createBuffer = require('gl-buffer')
var createVAO = require('gl-vao')
var createShader = require('./shaders').bg
function BackgroundCube(gl, buffer, vao, shader) {
this.gl = gl
this.buffer = buffer
this.vao = vao
this.shader = shader
}
var proto = BackgroundCube.prototype
proto.draw = function(model, view, projection, bounds, enable, colors) {
var needsBG = false
for(var i=0; i<3; ++i) {
needsBG = needsBG || enable[i]
}
if(!needsBG) {
return
}
var gl = this.gl
gl.enable(gl.POLYGON_OFFSET_FILL)
gl.polygonOffset(1, 2)
this.shader.bind()
this.shader.uniforms = {
model: model,
view: view,
projection: projection,
bounds: bounds,
enable: enable,
colors: colors
}
this.vao.bind()
this.vao.draw(this.gl.TRIANGLES, 36)
gl.disable(gl.POLYGON_OFFSET_FILL)
}
proto.dispose = function() {
this.vao.dispose()
this.buffer.dispose()
this.shader.dispose()
}
function createBackgroundCube(gl) {
//Create cube vertices
var vertices = []
var indices = []
var ptr = 0
for(var d=0; d<3; ++d) {
var u = (d+1) % 3
var v = (d+2) % 3
var x = [0,0,0]
var c = [0,0,0]
for(var s=-1; s<=1; s+=2) {
indices.push(ptr, ptr+2, ptr+1,
ptr+1, ptr+2, ptr+3)
x[d] = s
c[d] = s
for(var i=-1; i<=1; i+=2) {
x[u] = i
for(var j=-1; j<=1; j+=2) {
x[v] = j
vertices.push(x[0], x[1], x[2],
c[0], c[1], c[2])
ptr += 1
}
}
//Swap u and v
var tt = u
u = v
v = tt
}
}
//Allocate buffer and vertex array
var buffer = createBuffer(gl, new Float32Array(vertices))
var elements = createBuffer(gl, new Uint16Array(indices), gl.ELEMENT_ARRAY_BUFFER)
var vao = createVAO(gl, [
{
buffer: buffer,
type: gl.FLOAT,
size: 3,
offset: 0,
stride: 24
},
{
buffer: buffer,
type: gl.FLOAT,
size: 3,
offset: 12,
stride: 24
}
], elements)
//Create shader object
var shader = createShader(gl)
shader.attributes.position.location = 0
shader.attributes.normal.location = 1
return new BackgroundCube(gl, buffer, vao, shader)
}
},{"./shaders":80,"gl-buffer":83,"gl-vao":120}],78:[function(require,module,exports){
"use strict"
module.exports = getCubeEdges
var bits = require('bit-twiddle')
var multiply = require('gl-mat4/multiply')
var invert = require('gl-mat4/invert')
var splitPoly = require('split-polygon')
var orient = require('robust-orientation')
var mvp = new Array(16)
var imvp = new Array(16)
var pCubeVerts = new Array(8)
var cubeVerts = new Array(8)
var x = new Array(3)
var zero3 = [0,0,0]
;(function() {
for(var i=0; i<8; ++i) {
pCubeVerts[i] =[1,1,1,1]
cubeVerts[i] = [1,1,1]
}
})()
function transformHg(result, x, mat) {
for(var i=0; i<4; ++i) {
result[i] = mat[12+i]
for(var j=0; j<3; ++j) {
result[i] += x[j]*mat[4*j+i]
}
}
}
var FRUSTUM_PLANES = [
[ 0, 0, 1, 0, 0],
[ 0, 0,-1, 1, 0],
[ 0,-1, 0, 1, 0],
[ 0, 1, 0, 1, 0],
[-1, 0, 0, 1, 0],
[ 1, 0, 0, 1, 0]
]
function polygonArea(p) {
for(var i=0; i<FRUSTUM_PLANES.length; ++i) {
p = splitPoly.positive(p, FRUSTUM_PLANES[i])
if(p.length < 3) {
return 0
}
}
var base = p[0]
var ax = base[0] / base[3]
var ay = base[1] / base[3]
var area = 0.0
for(var i=1; i+1<p.length; ++i) {
var b = p[i]
var c = p[i+1]
var bx = b[0]/b[3]
var by = b[1]/b[3]
var cx = c[0]/c[3]
var cy = c[1]/c[3]
var ux = bx - ax
var uy = by - ay
var vx = cx - ax
var vy = cy - ay
area += Math.abs(ux * vy - uy * vx)
}
return area
}
var CUBE_EDGES = [1,1,1]
var CUBE_AXIS = [0,0,0]
var CUBE_RESULT = {
cubeEdges: CUBE_EDGES,
axis: CUBE_AXIS
}
function getCubeEdges(model, view, projection, bounds) {
//Concatenate matrices
multiply(mvp, view, model)
multiply(mvp, projection, mvp)
//First project cube vertices
var ptr = 0
for(var i=0; i<2; ++i) {
x[2] = bounds[i][2]
for(var j=0; j<2; ++j) {
x[1] = bounds[j][1]
for(var k=0; k<2; ++k) {
x[0] = bounds[k][0]
transformHg(pCubeVerts[ptr], x, mvp)
ptr += 1
}
}
}
//Classify camera against cube faces
var closest = -1
for(var i=0; i<8; ++i) {
var w = pCubeVerts[i][3]
for(var l=0; l<3; ++l) {
cubeVerts[i][l] = pCubeVerts[i][l] / w
}
if(w < 0) {
if(closest < 0) {
closest = i
} else if(cubeVerts[i][2] < cubeVerts[closest][2]) {
closest = i
}
}
}
if(closest < 0) {
closest = 0
for(var d=0; d<3; ++d) {
var u = (d+2) % 3
var v = (d+1) % 3
var o0 = -1
var o1 = -1
for(var s=0; s<2; ++s) {
var f0 = (s<<d)
var f1 = f0 + (s << u) + ((1-s) << v)
var f2 = f0 + ((1-s) << u) + (s << v)
if(orient(cubeVerts[f0], cubeVerts[f1], cubeVerts[f2], zero3) < 0) {
continue
}
if(s) {
o0 = 1
} else {
o1 = 1
}
}
if(o0 < 0 || o1 < 0) {
if(o1 > o0) {
closest |= 1<<d
}
continue
}
for(var s=0; s<2; ++s) {
var f0 = (s<<d)
var f1 = f0 + (s << u) + ((1-s) << v)
var f2 = f0 + ((1-s) << u) + (s << v)
var o = polygonArea([
pCubeVerts[f0],
pCubeVerts[f1],
pCubeVerts[f2],
pCubeVerts[f0+(1<<u)+(1<<v)]])
if(s) {
o0 = o
} else {
o1 = o
}
}
if(o1 > o0) {
closest |= 1<<d
continue
}
}
}
var farthest = 7^closest
//Find lowest vertex which is not closest closest
var bottom = -1
for(var i=0; i<8; ++i) {
if(i === closest || i === farthest) {
continue
}
if(bottom < 0) {
bottom = i
} else if(cubeVerts[bottom][1] > cubeVerts[i][1]) {
bottom = i
}
}
//Find left/right neighbors of bottom vertex
var left = -1
for(var i=0; i<3; ++i) {
var idx = bottom ^ (1<<i)
if(idx === closest || idx === farthest) {
continue
}
if(left < 0) {
left = idx
}
var v = cubeVerts[idx]
if(v[0] < cubeVerts[left][0]) {
left = idx
}
}
var right = -1
for(var i=0; i<3; ++i) {
var idx = bottom ^ (1<<i)
if(idx === closest || idx === farthest || idx === left) {
continue
}
if(right < 0) {
right = idx
}
var v = cubeVerts[idx]
if(v[0] > cubeVerts[right][0]) {
right = idx
}
}
//Determine edge axis coordinates
var cubeEdges = CUBE_EDGES
cubeEdges[0] = cubeEdges[1] = cubeEdges[2] = 0
cubeEdges[bits.log2(left^bottom)] = bottom&left
cubeEdges[bits.log2(bottom^right)] = bottom&right
var top = right ^ 7
if(top === closest || top === farthest) {
top = left ^ 7
cubeEdges[bits.log2(right^top)] = top&right
} else {
cubeEdges[bits.log2(left^top)] = top&left
}
//Determine visible faces
var axis = CUBE_AXIS
var cutCorner = closest
for(var d=0; d<3; ++d) {
if(cutCorner & (1<<d)) {
axis[d] = -1
} else {
axis[d] = 1
}
}
//Return result
return CUBE_RESULT
}
},{"bit-twiddle":36,"gl-mat4/invert":94,"gl-mat4/multiply":96,"robust-orientation":234,"split-polygon":249}],79:[function(require,module,exports){
'use strict'
module.exports = createLines
var createBuffer = require('gl-buffer')
var createVAO = require('gl-vao')
var createShader = require('./shaders').line
var MAJOR_AXIS = [0,0,0]
var MINOR_AXIS = [0,0,0]
var SCREEN_AXIS = [0,0,0]
var OFFSET_VEC = [0,0,0]
var SHAPE = [1,1]
function zeroVec(a) {
a[0] = a[1] = a[2] = 0
return a
}
function copyVec(a,b) {
a[0] = b[0]
a[1] = b[1]
a[2] = b[2]
return a
}
function Lines(gl, vertBuffer, vao, shader, tickCount, tickOffset, gridCount, gridOffset) {
this.gl = gl
this.vertBuffer = vertBuffer
this.vao = vao
this.shader = shader
this.tickCount = tickCount
this.tickOffset = tickOffset
this.gridCount = gridCount
this.gridOffset = gridOffset
}
var proto = Lines.prototype
proto.bind = function(model, view, projection) {
this.shader.bind()
this.shader.uniforms.model = model
this.shader.uniforms.view = view
this.shader.uniforms.projection = projection
SHAPE[0] = this.gl.drawingBufferWidth
SHAPE[1] = this.gl.drawingBufferHeight
this.shader.uniforms.screenShape = SHAPE
this.vao.bind()
}
proto.drawAxisLine = function(j, bounds, offset, color, lineWidth) {
var minorAxis = zeroVec(MINOR_AXIS)
this.shader.uniforms.majorAxis = MINOR_AXIS
minorAxis[j] = bounds[1][j] - bounds[0][j]
this.shader.uniforms.minorAxis = minorAxis
var noffset = copyVec(OFFSET_VEC, offset)
noffset[j] += bounds[0][j]
this.shader.uniforms.offset = noffset
this.shader.uniforms.lineWidth = lineWidth
this.shader.uniforms.color = color
var screenAxis = zeroVec(SCREEN_AXIS)
screenAxis[(j+2)%3] = 1
this.shader.uniforms.screenAxis = screenAxis
this.vao.draw(this.gl.TRIANGLES, 6)
var screenAxis = zeroVec(SCREEN_AXIS)
screenAxis[(j+1)%3] = 1
this.shader.uniforms.screenAxis = screenAxis
this.vao.draw(this.gl.TRIANGLES, 6)
}
proto.drawAxisTicks = function(j, offset, minorAxis, color, lineWidth) {
if(!this.tickCount[j]) {
return
}
var majorAxis = zeroVec(MAJOR_AXIS)
majorAxis[j] = 1
this.shader.uniforms.majorAxis = majorAxis
this.shader.uniforms.offset = offset
this.shader.uniforms.minorAxis = minorAxis
this.shader.uniforms.color = color
this.shader.uniforms.lineWidth = lineWidth
var screenAxis = zeroVec(SCREEN_AXIS)
screenAxis[j] = 1
this.shader.uniforms.screenAxis = screenAxis
this.vao.draw(this.gl.TRIANGLES, this.tickCount[j], this.tickOffset[j])
}
proto.drawGrid = function(i, j, bounds, offset, color, lineWidth) {
if(!this.gridCount[i]) {
return
}
var minorAxis = zeroVec(MINOR_AXIS)
minorAxis[j] = bounds[1][j] - bounds[0][j]
this.shader.uniforms.minorAxis = minorAxis
var noffset = copyVec(OFFSET_VEC, offset)
noffset[j] += bounds[0][j]
this.shader.uniforms.offset = noffset
var majorAxis = zeroVec(MAJOR_AXIS)
majorAxis[i] = 1
this.shader.uniforms.majorAxis = majorAxis
var screenAxis = zeroVec(SCREEN_AXIS)
screenAxis[i] = 1
this.shader.uniforms.screenAxis = screenAxis
this.shader.uniforms.lineWidth = lineWidth
this.shader.uniforms.color = color
this.vao.draw(this.gl.TRIANGLES, this.gridCount[i], this.gridOffset[i])
}
proto.drawZero = function(j, i, bounds, offset, color, lineWidth) {
var minorAxis = zeroVec(MINOR_AXIS)
this.shader.uniforms.majorAxis = minorAxis
minorAxis[j] = bounds[1][j] - bounds[0][j]
this.shader.uniforms.minorAxis = minorAxis
var noffset = copyVec(OFFSET_VEC, offset)
noffset[j] += bounds[0][j]
this.shader.uniforms.offset = noffset
var screenAxis = zeroVec(SCREEN_AXIS)
screenAxis[i] = 1
this.shader.uniforms.screenAxis = screenAxis
this.shader.uniforms.lineWidth = lineWidth
this.shader.uniforms.color = color
this.vao.draw(this.gl.TRIANGLES, 6)
}
proto.dispose = function() {
this.vao.dispose()
this.vertBuffer.dispose()
this.shader.dispose()
}
function createLines(gl, bounds, ticks) {
var vertices = []
var tickOffset = [0,0,0]
var tickCount = [0,0,0]
//Create grid lines for each axis/direction
var gridOffset = [0,0,0]
var gridCount = [0,0,0]
//Add zero line
vertices.push(
0,0,1, 0,1,1, 0,0,-1,
0,0,-1, 0,1,1, 0,1,-1)
for(var i=0; i<3; ++i) {
//Axis tick marks
var start = ((vertices.length / 3)|0)
for(var j=0; j<ticks[i].length; ++j) {
var x = +ticks[i][j].x
vertices.push(
x,0,1, x,1,1, x,0,-1,
x,0,-1, x,1,1, x,1,-1)
}
var end = ((vertices.length / 3)|0)
tickOffset[i] = start
tickCount[i] = end - start
//Grid lines
var start = ((vertices.length / 3)|0)
for(var k=0; k<ticks[i].length; ++k) {
var x = +ticks[i][k].x
vertices.push(
x,0,1, x,1,1, x,0,-1,
x,0,-1, x,1,1, x,1,-1)
}
var end = ((vertices.length / 3)|0)
gridOffset[i] = start
gridCount[i] = end - start
}
//Create cube VAO
var vertBuf = createBuffer(gl, new Float32Array(vertices))
var vao = createVAO(gl, [
{ "buffer": vertBuf,
"type": gl.FLOAT,
"size": 3,
"stride": 0,
"offset": 0
}
])
var shader = createShader(gl)
shader.attributes.position.location = 0
return new Lines(gl, vertBuf, vao, shader, tickCount, tickOffset, gridCount, gridOffset)
}
},{"./shaders":80,"gl-buffer":83,"gl-vao":120}],80:[function(require,module,exports){
'use strict'
var createShader = require('gl-shader')
var lineVert = "#define GLSLIFY 1\nattribute vec3 position;\n\nuniform mat4 model, view, projection;\nuniform vec3 offset, majorAxis, minorAxis, screenAxis;\nuniform float lineWidth;\nuniform vec2 screenShape;\n\nvec3 project(vec3 p) {\n vec4 pp = projection * view * model * vec4(p, 1.0);\n return pp.xyz / max(pp.w, 0.0001);\n}\n\nvoid main() {\n vec3 major = position.x * majorAxis;\n vec3 minor = position.y * minorAxis;\n\n vec3 vPosition = major + minor + offset;\n vec3 pPosition = project(vPosition);\n vec3 offset = project(vPosition + screenAxis * position.z);\n\n vec2 screen = normalize((offset - pPosition).xy * screenShape) / screenShape;\n\n gl_Position = vec4(pPosition + vec3(0.5 * screen * lineWidth, 0), 1.0);\n}\n"
var lineFrag = "precision mediump float;\n#define GLSLIFY 1\nuniform vec4 color;\nvoid main() {\n gl_FragColor = color;\n}"
exports.line = function(gl) {
return createShader(gl, lineVert, lineFrag, null, [
{name: 'position', type: 'vec3'}
])
}
var textVert = "#define GLSLIFY 1\nattribute vec3 position;\n\nuniform mat4 model, view, projection;\nuniform vec3 offset, axis;\nuniform float scale, angle, pixelScale;\nuniform vec2 resolution;\n\nvoid main() { \n //Compute plane offset\n vec2 planeCoord = position.xy * pixelScale;\n mat2 planeXform = scale * mat2(cos(angle), sin(angle),\n -sin(angle), cos(angle));\n vec2 viewOffset = 2.0 * planeXform * planeCoord / resolution;\n\n //Compute world offset\n float axisDistance = position.z;\n vec3 dataPosition = axisDistance * axis + offset;\n vec4 worldPosition = model * vec4(dataPosition, 1);\n \n //Compute clip position\n vec4 viewPosition = view * worldPosition;\n vec4 clipPosition = projection * viewPosition;\n clipPosition /= clipPosition.w;\n\n //Apply text offset in clip coordinates\n clipPosition += vec4(viewOffset, 0, 0);\n\n //Done\n gl_Position = clipPosition;\n}"
var textFrag = "precision mediump float;\n#define GLSLIFY 1\nuniform vec4 color;\nvoid main() {\n gl_FragColor = color;\n}"
exports.text = function(gl) {
return createShader(gl, textVert, textFrag, null, [
{name: 'position', type: 'vec3'}
])
}
var bgVert = "#define GLSLIFY 1\nattribute vec3 position;\nattribute vec3 normal;\n\nuniform mat4 model, view, projection;\nuniform vec3 enable;\nuniform vec3 bounds[2];\n\nvarying vec3 colorChannel;\n\nvoid main() {\n if(dot(normal, enable) > 0.0) {\n vec3 nPosition = mix(bounds[0], bounds[1], 0.5 * (position + 1.0));\n gl_Position = projection * view * model * vec4(nPosition, 1.0);\n } else {\n gl_Position = vec4(0,0,0,0);\n }\n colorChannel = abs(normal);\n}"
var bgFrag = "precision mediump float;\n#define GLSLIFY 1\n\nuniform vec4 colors[3];\n\nvarying vec3 colorChannel;\n\nvoid main() {\n gl_FragColor = colorChannel.x * colors[0] + \n colorChannel.y * colors[1] +\n colorChannel.z * colors[2];\n}"
exports.bg = function(gl) {
return createShader(gl, bgVert, bgFrag, null, [
{name: 'position', type: 'vec3'},
{name: 'normal', type: 'vec3'}
])
}
},{"gl-shader":107}],81:[function(require,module,exports){
(function (process){
"use strict"
module.exports = createTextSprites
var createBuffer = require('gl-buffer')
var createVAO = require('gl-vao')
var vectorizeText = require('vectorize-text')
var createShader = require('./shaders').text
var globals = window || process.global || {}
var __TEXT_CACHE = globals.__TEXT_CACHE || {}
globals.__TEXT_CACHE = {}
//Vertex buffer format for text is:
//
/// [x,y,z] = Spatial coordinate
//
var VERTEX_SIZE = 3
var VERTEX_STRIDE = VERTEX_SIZE * 4
function TextSprites(
gl,
shader,
buffer,
vao) {
this.gl = gl
this.shader = shader
this.buffer = buffer
this.vao = vao
this.tickOffset =
this.tickCount =
this.labelOffset =
this.labelCount = null
}
var proto = TextSprites.prototype
//Bind textures for rendering
var SHAPE = [0,0]
proto.bind = function(model, view, projection, pixelScale) {
this.vao.bind()
this.shader.bind()
var uniforms = this.shader.uniforms
uniforms.model = model
uniforms.view = view
uniforms.projection = projection
uniforms.pixelScale = pixelScale
SHAPE[0] = this.gl.drawingBufferWidth
SHAPE[1] = this.gl.drawingBufferHeight
this.shader.uniforms.resolution = SHAPE
}
proto.update = function(bounds, labels, labelFont, ticks, tickFont) {
var gl = this.gl
var data = []
function addItem(t, text, font, size) {
var fontcache = __TEXT_CACHE[font]
if(!fontcache) {
fontcache = __TEXT_CACHE[font] = {}
}
var mesh = fontcache[text]
if(!mesh) {
mesh = fontcache[text] = tryVectorizeText(text, {
triangles: true,
font: font,
textAlign: 'center',
textBaseline: 'middle'
})
}
var scale = (size || 12) / 12
var positions = mesh.positions
var cells = mesh.cells
var lo = [ Infinity, Infinity]
var hi = [-Infinity,-Infinity]
for(var i=0, nc=cells.length; i<nc; ++i) {
var c = cells[i]
for(var j=2; j>=0; --j) {
var p = positions[c[j]]
data.push(scale*p[0], -scale*p[1], t)
}
}
}
//Generate sprites for all 3 axes, store data in texture atlases
var tickOffset = [0,0,0]
var tickCount = [0,0,0]
var labelOffset = [0,0,0]
var labelCount = [0,0,0]
for(var d=0; d<3; ++d) {
//Generate label
labelOffset[d] = (data.length/VERTEX_SIZE)|0
addItem(0.5*(bounds[0][d]+bounds[1][d]), labels[d], labelFont)
labelCount[d] = ((data.length/VERTEX_SIZE)|0) - labelOffset[d]
//Generate sprites for tick marks
tickOffset[d] = (data.length/VERTEX_SIZE)|0
for(var i=0; i<ticks[d].length; ++i) {
if(!ticks[d][i].text) {
continue
}
addItem(
ticks[d][i].x,
ticks[d][i].text,
ticks[d][i].font || tickFont,
ticks[d][i].fontSize || 12)
}
tickCount[d] = ((data.length/VERTEX_SIZE)|0) - tickOffset[d]
}
this.buffer.update(data)
this.tickOffset = tickOffset
this.tickCount = tickCount
this.labelOffset = labelOffset
this.labelCount = labelCount
}
//Draws the tick marks for an axis
var AXIS = [0,0,0]
proto.drawTicks = function(d, scale, angle, offset, color) {
if(!this.tickCount[d]) {
return
}
var v = AXIS
v[0] = v[1] = v[2] = 0
v[d] = 1
this.shader.uniforms.axis = v
this.shader.uniforms.color = color
this.shader.uniforms.angle = angle
this.shader.uniforms.scale = scale
this.shader.uniforms.offset = offset
this.vao.draw(this.gl.TRIANGLES, this.tickCount[d], this.tickOffset[d])
}
//Draws the text label for an axis
var ZERO = [0,0,0]
proto.drawLabel = function(d, scale, angle, offset, color) {
if(!this.labelCount[d]) {
return
}
this.shader.uniforms.axis = ZERO
this.shader.uniforms.color = color
this.shader.uniforms.angle = angle
this.shader.uniforms.scale = scale
this.shader.uniforms.offset = offset
this.vao.draw(this.gl.TRIANGLES, this.labelCount[d], this.labelOffset[d])
}
//Releases all resources attached to this object
proto.dispose = function() {
this.shader.dispose()
this.vao.dispose()
this.buffer.dispose()
}
function tryVectorizeText(text, options) {
try {
return vectorizeText(text, options)
} catch(e) {
console.warn('error vectorizing text:', e)
return {
cells: [],
positions: []
}
}
}
function createTextSprites(
gl,
bounds,
labels,
labelFont,
ticks,
tickFont) {
var buffer = createBuffer(gl)
var vao = createVAO(gl, [
{ "buffer": buffer,
"size": 3
}
])
var shader = createShader(gl)
shader.attributes.position.location = 0
var result = new TextSprites(
gl,
shader,
buffer,
vao)
result.update(bounds, labels, labelFont, ticks, tickFont)
return result
}
}).call(this,require('_process'))
},{"./shaders":80,"_process":5,"gl-buffer":83,"gl-vao":120,"vectorize-text":260}],82:[function(require,module,exports){
'use strict'
exports.create = defaultTicks
exports.equal = ticksEqual
function prettyPrint(spacing, i) {
var stepStr = spacing + ""
var u = stepStr.indexOf(".")
var sigFigs = 0
if(u >= 0) {
sigFigs = stepStr.length - u - 1
}
var shift = Math.pow(10, sigFigs)
var x = Math.round(spacing * i * shift)
var xstr = x + ""
if(xstr.indexOf("e") >= 0) {
return xstr
}
var xi = x / shift, xf = x % shift
if(x < 0) {
xi = -Math.ceil(xi)|0
xf = (-xf)|0
} else {
xi = Math.floor(xi)|0
xf = xf|0
}
var xis = "" + xi
if(x < 0) {
xis = "-" + xis
}
if(sigFigs) {
var xs = "" + xf
while(xs.length < sigFigs) {
xs = "0" + xs
}
return xis + "." + xs
} else {
return xis
}
}
function defaultTicks(bounds, tickSpacing) {
var array = []
for(var d=0; d<3; ++d) {
var ticks = []
var m = 0.5*(bounds[0][d]+bounds[1][d])
for(var t=0; t*tickSpacing[d]<=bounds[1][d]; ++t) {
ticks.push({x: t*tickSpacing[d], text: prettyPrint(tickSpacing[d], t)})
}
for(var t=-1; t*tickSpacing[d]>=bounds[0][d]; --t) {
ticks.push({x: t*tickSpacing[d], text: prettyPrint(tickSpacing[d], t)})
}
array.push(ticks)
}
return array
}
function ticksEqual(ticksA, ticksB) {
for(var i=0; i<3; ++i) {
if(ticksA[i].length !== ticksB[i].length) {
return false
}
for(var j=0; j<ticksA[i].length; ++j) {
var a = ticksA[i][j]
var b = ticksB[i][j]
if(
a.x !== b.x ||
a.text !== b.text ||
a.font !== b.font ||
a.fontColor !== b.fontColor ||
a.fontSize !== b.fontSize ||
a.dx !== b.dx ||
a.dy !== b.dy
) {
return false
}
}
}
return true
}
},{}],83:[function(require,module,exports){
"use strict"
var pool = require("typedarray-pool")
var ops = require("ndarray-ops")
var ndarray = require("ndarray")
var SUPPORTED_TYPES = [
"uint8",
"uint8_clamped",
"uint16",
"uint32",
"int8",
"int16",
"int32",
"float32" ]
function GLBuffer(gl, type, handle, length, usage) {
this.gl = gl
this.type = type
this.handle = handle
this.length = length
this.usage = usage
}
var proto = GLBuffer.prototype
proto.bind = function() {
this.gl.bindBuffer(this.type, this.handle)
}
proto.unbind = function() {
this.gl.bindBuffer(this.type, null)
}
proto.dispose = function() {
this.gl.deleteBuffer(this.handle)
}
function updateTypeArray(gl, type, len, usage, data, offset) {
var dataLen = data.length * data.BYTES_PER_ELEMENT
if(offset < 0) {
gl.bufferData(type, data, usage)
return dataLen
}
if(dataLen + offset > len) {
throw new Error("gl-buffer: If resizing buffer, must not specify offset")
}
gl.bufferSubData(type, offset, data)
return len
}
function makeScratchTypeArray(array, dtype) {
var res = pool.malloc(array.length, dtype)
var n = array.length
for(var i=0; i<n; ++i) {
res[i] = array[i]
}
return res
}
function isPacked(shape, stride) {
var n = 1
for(var i=stride.length-1; i>=0; --i) {
if(stride[i] !== n) {
return false
}
n *= shape[i]
}
return true
}
proto.update = function(array, offset) {
if(typeof offset !== "number") {
offset = -1
}
this.bind()
if(typeof array === "object" && typeof array.shape !== "undefined") { //ndarray
var dtype = array.dtype
if(SUPPORTED_TYPES.indexOf(dtype) < 0) {
dtype = "float32"
}
if(this.type === this.gl.ELEMENT_ARRAY_BUFFER) {
var ext = gl.getExtension('OES_element_index_uint')
if(ext && dtype !== "uint16") {
dtype = "uint32"
} else {
dtype = "uint16"
}
}
if(dtype === array.dtype && isPacked(array.shape, array.stride)) {
if(array.offset === 0 && array.data.length === array.shape[0]) {
this.length = updateTypeArray(this.gl, this.type, this.length, this.usage, array.data, offset)
} else {
this.length = updateTypeArray(this.gl, this.type, this.length, this.usage, array.data.subarray(array.offset, array.shape[0]), offset)
}
} else {
var tmp = pool.malloc(array.size, dtype)
var ndt = ndarray(tmp, array.shape)
ops.assign(ndt, array)
if(offset < 0) {
this.length = updateTypeArray(this.gl, this.type, this.length, this.usage, tmp, offset)
} else {
this.length = updateTypeArray(this.gl, this.type, this.length, this.usage, tmp.subarray(0, array.size), offset)
}
pool.free(tmp)
}
} else if(Array.isArray(array)) { //Vanilla array
var t
if(this.type === this.gl.ELEMENT_ARRAY_BUFFER) {
t = makeScratchTypeArray(array, "uint16")
} else {
t = makeScratchTypeArray(array, "float32")
}
if(offset < 0) {
this.length = updateTypeArray(this.gl, this.type, this.length, this.usage, t, offset)
} else {
this.length = updateTypeArray(this.gl, this.type, this.length, this.usage, t.subarray(0, array.length), offset)
}
pool.free(t)
} else if(typeof array === "object" && typeof array.length === "number") { //Typed array
this.length = updateTypeArray(this.gl, this.type, this.length, this.usage, array, offset)
} else if(typeof array === "number" || array === undefined) { //Number/default
if(offset >= 0) {
throw new Error("gl-buffer: Cannot specify offset when resizing buffer")
}
array = array | 0
if(array <= 0) {
array = 1
}
this.gl.bufferData(this.type, array|0, this.usage)
this.length = array
} else { //Error, case should not happen
throw new Error("gl-buffer: Invalid data type")
}
}
function createBuffer(gl, data, type, usage) {
type = type || gl.ARRAY_BUFFER
usage = usage || gl.DYNAMIC_DRAW
if(type !== gl.ARRAY_BUFFER && type !== gl.ELEMENT_ARRAY_BUFFER) {
throw new Error("gl-buffer: Invalid type for webgl buffer, must be either gl.ARRAY_BUFFER or gl.ELEMENT_ARRAY_BUFFER")
}
if(usage !== gl.DYNAMIC_DRAW && usage !== gl.STATIC_DRAW && usage !== gl.STREAM_DRAW) {
throw new Error("gl-buffer: Invalid usage for buffer, must be either gl.DYNAMIC_DRAW, gl.STATIC_DRAW or gl.STREAM_DRAW")
}
var handle = gl.createBuffer()
var result = new GLBuffer(gl, type, handle, 0, usage)
result.update(data)
return result
}
module.exports = createBuffer
},{"ndarray":208,"ndarray-ops":205,"typedarray-pool":257}],84:[function(require,module,exports){
module.exports = {
0: 'NONE',
1: 'ONE',
2: 'LINE_LOOP',
3: 'LINE_STRIP',
4: 'TRIANGLES',
5: 'TRIANGLE_STRIP',
6: 'TRIANGLE_FAN',
256: 'DEPTH_BUFFER_BIT',
512: 'NEVER',
513: 'LESS',
514: 'EQUAL',
515: 'LEQUAL',
516: 'GREATER',
517: 'NOTEQUAL',
518: 'GEQUAL',
519: 'ALWAYS',
768: 'SRC_COLOR',
769: 'ONE_MINUS_SRC_COLOR',
770: 'SRC_ALPHA',
771: 'ONE_MINUS_SRC_ALPHA',
772: 'DST_ALPHA',
773: 'ONE_MINUS_DST_ALPHA',
774: 'DST_COLOR',
775: 'ONE_MINUS_DST_COLOR',
776: 'SRC_ALPHA_SATURATE',
1024: 'STENCIL_BUFFER_BIT',
1028: 'FRONT',
1029: 'BACK',
1032: 'FRONT_AND_BACK',
1280: 'INVALID_ENUM',
1281: 'INVALID_VALUE',
1282: 'INVALID_OPERATION',
1285: 'OUT_OF_MEMORY',
1286: 'INVALID_FRAMEBUFFER_OPERATION',
2304: 'CW',
2305: 'CCW',
2849: 'LINE_WIDTH',
2884: 'CULL_FACE',
2885: 'CULL_FACE_MODE',
2886: 'FRONT_FACE',
2928: 'DEPTH_RANGE',
2929: 'DEPTH_TEST',
2930: 'DEPTH_WRITEMASK',
2931: 'DEPTH_CLEAR_VALUE',
2932: 'DEPTH_FUNC',
2960: 'STENCIL_TEST',
2961: 'STENCIL_CLEAR_VALUE',
2962: 'STENCIL_FUNC',
2963: 'STENCIL_VALUE_MASK',
2964: 'STENCIL_FAIL',
2965: 'STENCIL_PASS_DEPTH_FAIL',
2966: 'STENCIL_PASS_DEPTH_PASS',
2967: 'STENCIL_REF',
2968: 'STENCIL_WRITEMASK',
2978: 'VIEWPORT',
3024: 'DITHER',
3042: 'BLEND',
3088: 'SCISSOR_BOX',
3089: 'SCISSOR_TEST',
3106: 'COLOR_CLEAR_VALUE',
3107: 'COLOR_WRITEMASK',
3317: 'UNPACK_ALIGNMENT',
3333: 'PACK_ALIGNMENT',
3379: 'MAX_TEXTURE_SIZE',
3386: 'MAX_VIEWPORT_DIMS',
3408: 'SUBPIXEL_BITS',
3410: 'RED_BITS',
3411: 'GREEN_BITS',
3412: 'BLUE_BITS',
3413: 'ALPHA_BITS',
3414: 'DEPTH_BITS',
3415: 'STENCIL_BITS',
3553: 'TEXTURE_2D',
4352: 'DONT_CARE',
4353: 'FASTEST',
4354: 'NICEST',
5120: 'BYTE',
5121: 'UNSIGNED_BYTE',
5122: 'SHORT',
5123: 'UNSIGNED_SHORT',
5124: 'INT',
5125: 'UNSIGNED_INT',
5126: 'FLOAT',
5386: 'INVERT',
5890: 'TEXTURE',
6401: 'STENCIL_INDEX',
6402: 'DEPTH_COMPONENT',
6406: 'ALPHA',
6407: 'RGB',
6408: 'RGBA',
6409: 'LUMINANCE',
6410: 'LUMINANCE_ALPHA',
7680: 'KEEP',
7681: 'REPLACE',
7682: 'INCR',
7683: 'DECR',
7936: 'VENDOR',
7937: 'RENDERER',
7938: 'VERSION',
9728: 'NEAREST',
9729: 'LINEAR',
9984: 'NEAREST_MIPMAP_NEAREST',
9985: 'LINEAR_MIPMAP_NEAREST',
9986: 'NEAREST_MIPMAP_LINEAR',
9987: 'LINEAR_MIPMAP_LINEAR',
10240: 'TEXTURE_MAG_FILTER',
10241: 'TEXTURE_MIN_FILTER',
10242: 'TEXTURE_WRAP_S',
10243: 'TEXTURE_WRAP_T',
10497: 'REPEAT',
10752: 'POLYGON_OFFSET_UNITS',
16384: 'COLOR_BUFFER_BIT',
32769: 'CONSTANT_COLOR',
32770: 'ONE_MINUS_CONSTANT_COLOR',
32771: 'CONSTANT_ALPHA',
32772: 'ONE_MINUS_CONSTANT_ALPHA',
32773: 'BLEND_COLOR',
32774: 'FUNC_ADD',
32777: 'BLEND_EQUATION_RGB',
32778: 'FUNC_SUBTRACT',
32779: 'FUNC_REVERSE_SUBTRACT',
32819: 'UNSIGNED_SHORT_4_4_4_4',
32820: 'UNSIGNED_SHORT_5_5_5_1',
32823: 'POLYGON_OFFSET_FILL',
32824: 'POLYGON_OFFSET_FACTOR',
32854: 'RGBA4',
32855: 'RGB5_A1',
32873: 'TEXTURE_BINDING_2D',
32926: 'SAMPLE_ALPHA_TO_COVERAGE',
32928: 'SAMPLE_COVERAGE',
32936: 'SAMPLE_BUFFERS',
32937: 'SAMPLES',
32938: 'SAMPLE_COVERAGE_VALUE',
32939: 'SAMPLE_COVERAGE_INVERT',
32968: 'BLEND_DST_RGB',
32969: 'BLEND_SRC_RGB',
32970: 'BLEND_DST_ALPHA',
32971: 'BLEND_SRC_ALPHA',
33071: 'CLAMP_TO_EDGE',
33170: 'GENERATE_MIPMAP_HINT',
33189: 'DEPTH_COMPONENT16',
33306: 'DEPTH_STENCIL_ATTACHMENT',
33635: 'UNSIGNED_SHORT_5_6_5',
33648: 'MIRRORED_REPEAT',
33901: 'ALIASED_POINT_SIZE_RANGE',
33902: 'ALIASED_LINE_WIDTH_RANGE',
33984: 'TEXTURE0',
33985: 'TEXTURE1',
33986: 'TEXTURE2',
33987: 'TEXTURE3',
33988: 'TEXTURE4',
33989: 'TEXTURE5',
33990: 'TEXTURE6',
33991: 'TEXTURE7',
33992: 'TEXTURE8',
33993: 'TEXTURE9',
33994: 'TEXTURE10',
33995: 'TEXTURE11',
33996: 'TEXTURE12',
33997: 'TEXTURE13',
33998: 'TEXTURE14',
33999: 'TEXTURE15',
34000: 'TEXTURE16',
34001: 'TEXTURE17',
34002: 'TEXTURE18',
34003: 'TEXTURE19',
34004: 'TEXTURE20',
34005: 'TEXTURE21',
34006: 'TEXTURE22',
34007: 'TEXTURE23',
34008: 'TEXTURE24',
34009: 'TEXTURE25',
34010: 'TEXTURE26',
34011: 'TEXTURE27',
34012: 'TEXTURE28',
34013: 'TEXTURE29',
34014: 'TEXTURE30',
34015: 'TEXTURE31',
34016: 'ACTIVE_TEXTURE',
34024: 'MAX_RENDERBUFFER_SIZE',
34041: 'DEPTH_STENCIL',
34055: 'INCR_WRAP',
34056: 'DECR_WRAP',
34067: 'TEXTURE_CUBE_MAP',
34068: 'TEXTURE_BINDING_CUBE_MAP',
34069: 'TEXTURE_CUBE_MAP_POSITIVE_X',
34070: 'TEXTURE_CUBE_MAP_NEGATIVE_X',
34071: 'TEXTURE_CUBE_MAP_POSITIVE_Y',
34072: 'TEXTURE_CUBE_MAP_NEGATIVE_Y',
34073: 'TEXTURE_CUBE_MAP_POSITIVE_Z',
34074: 'TEXTURE_CUBE_MAP_NEGATIVE_Z',
34076: 'MAX_CUBE_MAP_TEXTURE_SIZE',
34338: 'VERTEX_ATTRIB_ARRAY_ENABLED',
34339: 'VERTEX_ATTRIB_ARRAY_SIZE',
34340: 'VERTEX_ATTRIB_ARRAY_STRIDE',
34341: 'VERTEX_ATTRIB_ARRAY_TYPE',
34342: 'CURRENT_VERTEX_ATTRIB',
34373: 'VERTEX_ATTRIB_ARRAY_POINTER',
34466: 'NUM_COMPRESSED_TEXTURE_FORMATS',
34467: 'COMPRESSED_TEXTURE_FORMATS',
34660: 'BUFFER_SIZE',
34661: 'BUFFER_USAGE',
34816: 'STENCIL_BACK_FUNC',
34817: 'STENCIL_BACK_FAIL',
34818: 'STENCIL_BACK_PASS_DEPTH_FAIL',
34819: 'STENCIL_BACK_PASS_DEPTH_PASS',
34877: 'BLEND_EQUATION_ALPHA',
34921: 'MAX_VERTEX_ATTRIBS',
34922: 'VERTEX_ATTRIB_ARRAY_NORMALIZED',
34930: 'MAX_TEXTURE_IMAGE_UNITS',
34962: 'ARRAY_BUFFER',
34963: 'ELEMENT_ARRAY_BUFFER',
34964: 'ARRAY_BUFFER_BINDING',
34965: 'ELEMENT_ARRAY_BUFFER_BINDING',
34975: 'VERTEX_ATTRIB_ARRAY_BUFFER_BINDING',
35040: 'STREAM_DRAW',
35044: 'STATIC_DRAW',
35048: 'DYNAMIC_DRAW',
35632: 'FRAGMENT_SHADER',
35633: 'VERTEX_SHADER',
35660: 'MAX_VERTEX_TEXTURE_IMAGE_UNITS',
35661: 'MAX_COMBINED_TEXTURE_IMAGE_UNITS',
35663: 'SHADER_TYPE',
35664: 'FLOAT_VEC2',
35665: 'FLOAT_VEC3',
35666: 'FLOAT_VEC4',
35667: 'INT_VEC2',
35668: 'INT_VEC3',
35669: 'INT_VEC4',
35670: 'BOOL',
35671: 'BOOL_VEC2',
35672: 'BOOL_VEC3',
35673: 'BOOL_VEC4',
35674: 'FLOAT_MAT2',
35675: 'FLOAT_MAT3',
35676: 'FLOAT_MAT4',
35678: 'SAMPLER_2D',
35680: 'SAMPLER_CUBE',
35712: 'DELETE_STATUS',
35713: 'COMPILE_STATUS',
35714: 'LINK_STATUS',
35715: 'VALIDATE_STATUS',
35716: 'INFO_LOG_LENGTH',
35717: 'ATTACHED_SHADERS',
35718: 'ACTIVE_UNIFORMS',
35719: 'ACTIVE_UNIFORM_MAX_LENGTH',
35720: 'SHADER_SOURCE_LENGTH',
35721: 'ACTIVE_ATTRIBUTES',
35722: 'ACTIVE_ATTRIBUTE_MAX_LENGTH',
35724: 'SHADING_LANGUAGE_VERSION',
35725: 'CURRENT_PROGRAM',
36003: 'STENCIL_BACK_REF',
36004: 'STENCIL_BACK_VALUE_MASK',
36005: 'STENCIL_BACK_WRITEMASK',
36006: 'FRAMEBUFFER_BINDING',
36007: 'RENDERBUFFER_BINDING',
36048: 'FRAMEBUFFER_ATTACHMENT_OBJECT_TYPE',
36049: 'FRAMEBUFFER_ATTACHMENT_OBJECT_NAME',
36050: 'FRAMEBUFFER_ATTACHMENT_TEXTURE_LEVEL',
36051: 'FRAMEBUFFER_ATTACHMENT_TEXTURE_CUBE_MAP_FACE',
36053: 'FRAMEBUFFER_COMPLETE',
36054: 'FRAMEBUFFER_INCOMPLETE_ATTACHMENT',
36055: 'FRAMEBUFFER_INCOMPLETE_MISSING_ATTACHMENT',
36057: 'FRAMEBUFFER_INCOMPLETE_DIMENSIONS',
36061: 'FRAMEBUFFER_UNSUPPORTED',
36064: 'COLOR_ATTACHMENT0',
36096: 'DEPTH_ATTACHMENT',
36128: 'STENCIL_ATTACHMENT',
36160: 'FRAMEBUFFER',
36161: 'RENDERBUFFER',
36162: 'RENDERBUFFER_WIDTH',
36163: 'RENDERBUFFER_HEIGHT',
36164: 'RENDERBUFFER_INTERNAL_FORMAT',
36168: 'STENCIL_INDEX8',
36176: 'RENDERBUFFER_RED_SIZE',
36177: 'RENDERBUFFER_GREEN_SIZE',
36178: 'RENDERBUFFER_BLUE_SIZE',
36179: 'RENDERBUFFER_ALPHA_SIZE',
36180: 'RENDERBUFFER_DEPTH_SIZE',
36181: 'RENDERBUFFER_STENCIL_SIZE',
36194: 'RGB565',
36336: 'LOW_FLOAT',
36337: 'MEDIUM_FLOAT',
36338: 'HIGH_FLOAT',
36339: 'LOW_INT',
36340: 'MEDIUM_INT',
36341: 'HIGH_INT',
36346: 'SHADER_COMPILER',
36347: 'MAX_VERTEX_UNIFORM_VECTORS',
36348: 'MAX_VARYING_VECTORS',
36349: 'MAX_FRAGMENT_UNIFORM_VECTORS',
37440: 'UNPACK_FLIP_Y_WEBGL',
37441: 'UNPACK_PREMULTIPLY_ALPHA_WEBGL',
37442: 'CONTEXT_LOST_WEBGL',
37443: 'UNPACK_COLORSPACE_CONVERSION_WEBGL',
37444: 'BROWSER_DEFAULT_WEBGL'
}
},{}],85:[function(require,module,exports){
var gl10 = require('./1.0/numbers')
module.exports = function lookupConstant (number) {
return gl10[number]
}
},{"./1.0/numbers":84}],86:[function(require,module,exports){
'use strict'
var createTexture = require('gl-texture2d')
module.exports = createFBO
var colorAttachmentArrays = null
var FRAMEBUFFER_UNSUPPORTED
var FRAMEBUFFER_INCOMPLETE_ATTACHMENT
var FRAMEBUFFER_INCOMPLETE_DIMENSIONS
var FRAMEBUFFER_INCOMPLETE_MISSING_ATTACHMENT
function saveFBOState(gl) {
var fbo = gl.getParameter(gl.FRAMEBUFFER_BINDING)
var rbo = gl.getParameter(gl.RENDERBUFFER_BINDING)
var tex = gl.getParameter(gl.TEXTURE_BINDING_2D)
return [fbo, rbo, tex]
}
function restoreFBOState(gl, data) {
gl.bindFramebuffer(gl.FRAMEBUFFER, data[0])
gl.bindRenderbuffer(gl.RENDERBUFFER, data[1])
gl.bindTexture(gl.TEXTURE_2D, data[2])
}
function lazyInitColorAttachments(gl, ext) {
var maxColorAttachments = gl.getParameter(ext.MAX_COLOR_ATTACHMENTS_WEBGL)
colorAttachmentArrays = new Array(maxColorAttachments + 1)
for(var i=0; i<=maxColorAttachments; ++i) {
var x = new Array(maxColorAttachments)
for(var j=0; j<i; ++j) {
x[j] = gl.COLOR_ATTACHMENT0 + j
}
for(var j=i; j<maxColorAttachments; ++j) {
x[j] = gl.NONE
}
colorAttachmentArrays[i] = x
}
}
//Throw an appropriate error
function throwFBOError(status) {
switch(status){
case FRAMEBUFFER_UNSUPPORTED:
throw new Error('gl-fbo: Framebuffer unsupported')
case FRAMEBUFFER_INCOMPLETE_ATTACHMENT:
throw new Error('gl-fbo: Framebuffer incomplete attachment')
case FRAMEBUFFER_INCOMPLETE_DIMENSIONS:
throw new Error('gl-fbo: Framebuffer incomplete dimensions')
case FRAMEBUFFER_INCOMPLETE_MISSING_ATTACHMENT:
throw new Error('gl-fbo: Framebuffer incomplete missing attachment')
default:
throw new Error('gl-fbo: Framebuffer failed for unspecified reason')
}
}
//Initialize a texture object
function initTexture(gl, width, height, type, format, attachment) {
if(!type) {
return null
}
var result = createTexture(gl, width, height, format, type)
result.magFilter = gl.NEAREST
result.minFilter = gl.NEAREST
result.mipSamples = 1
result.bind()
gl.framebufferTexture2D(gl.FRAMEBUFFER, attachment, gl.TEXTURE_2D, result.handle, 0)
return result
}
//Initialize a render buffer object
function initRenderBuffer(gl, width, height, component, attachment) {
var result = gl.createRenderbuffer()
gl.bindRenderbuffer(gl.RENDERBUFFER, result)
gl.renderbufferStorage(gl.RENDERBUFFER, component, width, height)
gl.framebufferRenderbuffer(gl.FRAMEBUFFER, attachment, gl.RENDERBUFFER, result)
return result
}
//Rebuild the frame buffer
function rebuildFBO(fbo) {
//Save FBO state
var state = saveFBOState(fbo.gl)
var gl = fbo.gl
var handle = fbo.handle = gl.createFramebuffer()
var width = fbo._shape[0]
var height = fbo._shape[1]
var numColors = fbo.color.length
var ext = fbo._ext
var useStencil = fbo._useStencil
var useDepth = fbo._useDepth
var colorType = fbo._colorType
//Bind the fbo
gl.bindFramebuffer(gl.FRAMEBUFFER, handle)
//Allocate color buffers
for(var i=0; i<numColors; ++i) {
fbo.color[i] = initTexture(gl, width, height, colorType, gl.RGBA, gl.COLOR_ATTACHMENT0 + i)
}
if(numColors === 0) {
fbo._color_rb = initRenderBuffer(gl, width, height, gl.RGBA4, gl.COLOR_ATTACHMENT0)
if(ext) {
ext.drawBuffersWEBGL(colorAttachmentArrays[0])
}
} else if(numColors > 1) {
ext.drawBuffersWEBGL(colorAttachmentArrays[numColors])
}
//Allocate depth/stencil buffers
var WEBGL_depth_texture = gl.getExtension('WEBGL_depth_texture')
if(WEBGL_depth_texture) {
if(useStencil) {
fbo.depth = initTexture(gl, width, height,
WEBGL_depth_texture.UNSIGNED_INT_24_8_WEBGL,
gl.DEPTH_STENCIL,
gl.DEPTH_STENCIL_ATTACHMENT)
} else if(useDepth) {
fbo.depth = initTexture(gl, width, height,
gl.UNSIGNED_SHORT,
gl.DEPTH_COMPONENT,
gl.DEPTH_ATTACHMENT)
}
} else {
if(useDepth && useStencil) {
fbo._depth_rb = initRenderBuffer(gl, width, height, gl.DEPTH_STENCIL, gl.DEPTH_STENCIL_ATTACHMENT)
} else if(useDepth) {
fbo._depth_rb = initRenderBuffer(gl, width, height, gl.DEPTH_COMPONENT16, gl.DEPTH_ATTACHMENT)
} else if(useStencil) {
fbo._depth_rb = initRenderBuffer(gl, width, height, gl.STENCIL_INDEX, gl.STENCIL_ATTACHMENT)
}
}
//Check frame buffer state
var status = gl.checkFramebufferStatus(gl.FRAMEBUFFER)
if(status !== gl.FRAMEBUFFER_COMPLETE) {
//Release all partially allocated resources
fbo._destroyed = true
//Release all resources
gl.bindFramebuffer(gl.FRAMEBUFFER, null)
gl.deleteFramebuffer(fbo.handle)
fbo.handle = null
if(fbo.depth) {
fbo.depth.dispose()
fbo.depth = null
}
if(fbo._depth_rb) {
gl.deleteRenderbuffer(fbo._depth_rb)
fbo._depth_rb = null
}
for(var i=0; i<fbo.color.length; ++i) {
fbo.color[i].dispose()
fbo.color[i] = null
}
if(fbo._color_rb) {
gl.deleteRenderbuffer(fbo._color_rb)
fbo._color_rb = null
}
restoreFBOState(gl, state)
//Throw the frame buffer error
throwFBOError(status)
}
//Everything ok, let's get on with life
restoreFBOState(gl, state)
}
function Framebuffer(gl, width, height, colorType, numColors, useDepth, useStencil, ext) {
//Handle and set properties
this.gl = gl
this._shape = [width|0, height|0]
this._destroyed = false
this._ext = ext
//Allocate buffers
this.color = new Array(numColors)
for(var i=0; i<numColors; ++i) {
this.color[i] = null
}
this._color_rb = null
this.depth = null
this._depth_rb = null
//Save depth and stencil flags
this._colorType = colorType
this._useDepth = useDepth
this._useStencil = useStencil
//Shape vector for resizing
var parent = this
var shapeVector = [width|0, height|0]
Object.defineProperties(shapeVector, {
0: {
get: function() {
return parent._shape[0]
},
set: function(w) {
return parent.width = w
}
},
1: {
get: function() {
return parent._shape[1]
},
set: function(h) {
return parent.height = h
}
}
})
this._shapeVector = shapeVector
//Initialize all attachments
rebuildFBO(this)
}
var proto = Framebuffer.prototype
function reshapeFBO(fbo, w, h) {
//If fbo is invalid, just skip this
if(fbo._destroyed) {
throw new Error('gl-fbo: Can\'t resize destroyed FBO')
}
//Don't resize if no change in shape
if( (fbo._shape[0] === w) &&
(fbo._shape[1] === h) ) {
return
}
var gl = fbo.gl
//Check parameter ranges
var maxFBOSize = gl.getParameter(gl.MAX_RENDERBUFFER_SIZE)
if( w < 0 || w > maxFBOSize ||
h < 0 || h > maxFBOSize) {
throw new Error('gl-fbo: Can\'t resize FBO, invalid dimensions')
}
//Update shape
fbo._shape[0] = w
fbo._shape[1] = h
//Save framebuffer state
var state = saveFBOState(gl)
//Resize framebuffer attachments
for(var i=0; i<fbo.color.length; ++i) {
fbo.color[i].shape = fbo._shape
}
if(fbo._color_rb) {
gl.bindRenderbuffer(gl.RENDERBUFFER, fbo._color_rb)
gl.renderbufferStorage(gl.RENDERBUFFER, gl.RGBA4, fbo._shape[0], fbo._shape[1])
}
if(fbo.depth) {
fbo.depth.shape = fbo._shape
}
if(fbo._depth_rb) {
gl.bindRenderbuffer(gl.RENDERBUFFER, fbo._depth_rb)
if(fbo._useDepth && fbo._useStencil) {
gl.renderbufferStorage(gl.RENDERBUFFER, gl.DEPTH_STENCIL, fbo._shape[0], fbo._shape[1])
} else if(fbo._useDepth) {
gl.renderbufferStorage(gl.RENDERBUFFER, gl.DEPTH_COMPONENT16, fbo._shape[0], fbo._shape[1])
} else if(fbo._useStencil) {
gl.renderbufferStorage(gl.RENDERBUFFER, gl.STENCIL_INDEX, fbo._shape[0], fbo._shape[1])
}
}
//Check FBO status after resize, if something broke then die in a fire
gl.bindFramebuffer(gl.FRAMEBUFFER, fbo.handle)
var status = gl.checkFramebufferStatus(gl.FRAMEBUFFER)
if(status !== gl.FRAMEBUFFER_COMPLETE) {
fbo.dispose()
restoreFBOState(gl, state)
throwFBOError(status)
}
//Restore framebuffer state
restoreFBOState(gl, state)
}
Object.defineProperties(proto, {
'shape': {
get: function() {
if(this._destroyed) {
return [0,0]
}
return this._shapeVector
},
set: function(x) {
if(!Array.isArray(x)) {
x = [x|0, x|0]
}
if(x.length !== 2) {
throw new Error('gl-fbo: Shape vector must be length 2')
}
var w = x[0]|0
var h = x[1]|0
reshapeFBO(this, w, h)
return [w, h]
},
enumerable: false
},
'width': {
get: function() {
if(this._destroyed) {
return 0
}
return this._shape[0]
},
set: function(w) {
w = w|0
reshapeFBO(this, w, this._shape[1])
return w
},
enumerable: false
},
'height': {
get: function() {
if(this._destroyed) {
return 0
}
return this._shape[1]
},
set: function(h) {
h = h|0
reshapeFBO(this, this._shape[0], h)
return h
},
enumerable: false
}
})
proto.bind = function() {
if(this._destroyed) {
return
}
var gl = this.gl
gl.bindFramebuffer(gl.FRAMEBUFFER, this.handle)
gl.viewport(0, 0, this._shape[0], this._shape[1])
}
proto.dispose = function() {
if(this._destroyed) {
return
}
this._destroyed = true
var gl = this.gl
gl.deleteFramebuffer(this.handle)
this.handle = null
if(this.depth) {
this.depth.dispose()
this.depth = null
}
if(this._depth_rb) {
gl.deleteRenderbuffer(this._depth_rb)
this._depth_rb = null
}
for(var i=0; i<this.color.length; ++i) {
this.color[i].dispose()
this.color[i] = null
}
if(this._color_rb) {
gl.deleteRenderbuffer(this._color_rb)
this._color_rb = null
}
}
function createFBO(gl, width, height, options) {
//Update frame buffer error code values
if(!FRAMEBUFFER_UNSUPPORTED) {
FRAMEBUFFER_UNSUPPORTED = gl.FRAMEBUFFER_UNSUPPORTED
FRAMEBUFFER_INCOMPLETE_ATTACHMENT = gl.FRAMEBUFFER_INCOMPLETE_ATTACHMENT
FRAMEBUFFER_INCOMPLETE_DIMENSIONS = gl.FRAMEBUFFER_INCOMPLETE_DIMENSIONS
FRAMEBUFFER_INCOMPLETE_MISSING_ATTACHMENT = gl.FRAMEBUFFER_INCOMPLETE_MISSING_ATTACHMENT
}
//Lazily initialize color attachment arrays
var WEBGL_draw_buffers = gl.getExtension('WEBGL_draw_buffers')
if(!colorAttachmentArrays && WEBGL_draw_buffers) {
lazyInitColorAttachments(gl, WEBGL_draw_buffers)
}
//Special case: Can accept an array as argument
if(Array.isArray(width)) {
options = height
height = width[1]|0
width = width[0]|0
}
if(typeof width !== 'number') {
throw new Error('gl-fbo: Missing shape parameter')
}
//Validate width/height properties
var maxFBOSize = gl.getParameter(gl.MAX_RENDERBUFFER_SIZE)
if(width < 0 || width > maxFBOSize || height < 0 || height > maxFBOSize) {
throw new Error('gl-fbo: Parameters are too large for FBO')
}
//Handle each option type
options = options || {}
//Figure out number of color buffers to use
var numColors = 1
if('color' in options) {
numColors = Math.max(options.color|0, 0)
if(numColors < 0) {
throw new Error('gl-fbo: Must specify a nonnegative number of colors')
}
if(numColors > 1) {
//Check if multiple render targets supported
if(!WEBGL_draw_buffers) {
throw new Error('gl-fbo: Multiple draw buffer extension not supported')
} else if(numColors > gl.getParameter(WEBGL_draw_buffers.MAX_COLOR_ATTACHMENTS_WEBGL)) {
throw new Error('gl-fbo: Context does not support ' + numColors + ' draw buffers')
}
}
}
//Determine whether to use floating point textures
var colorType = gl.UNSIGNED_BYTE
var OES_texture_float = gl.getExtension('OES_texture_float')
if(options.float && numColors > 0) {
if(!OES_texture_float) {
throw new Error('gl-fbo: Context does not support floating point textures')
}
colorType = gl.FLOAT
} else if(options.preferFloat && numColors > 0) {
if(OES_texture_float) {
colorType = gl.FLOAT
}
}
//Check if we should use depth buffer
var useDepth = true
if('depth' in options) {
useDepth = !!options.depth
}
//Check if we should use a stencil buffer
var useStencil = false
if('stencil' in options) {
useStencil = !!options.stencil
}
return new Framebuffer(
gl,
width,
height,
colorType,
numColors,
useDepth,
useStencil,
WEBGL_draw_buffers)
}
},{"gl-texture2d":116}],87:[function(require,module,exports){
var sprintf = require('sprintf-js').sprintf;
var glConstants = require('gl-constants/lookup');
var shaderName = require('glsl-shader-name');
var addLineNumbers = require('add-line-numbers');
module.exports = formatCompilerError;
function formatCompilerError(errLog, src, type) {
"use strict";
var name = shaderName(src) || 'of unknown name (see npm glsl-shader-name)';
var typeName = 'unknown type';
if (type !== undefined) {
typeName = type === glConstants.FRAGMENT_SHADER ? 'fragment' : 'vertex'
}
var longForm = sprintf('Error compiling %s shader %s:\n', typeName, name);
var shortForm = sprintf("%s%s", longForm, errLog);
var errorStrings = errLog.split('\n');
var errors = {};
for (var i = 0; i < errorStrings.length; i++) {
var errorString = errorStrings[i];
if (errorString === '') continue;
var lineNo = parseInt(errorString.split(':')[2]);
if (isNaN(lineNo)) {
throw new Error(sprintf('Could not parse error: %s', errorString));
}
errors[lineNo] = errorString;
}
var lines = addLineNumbers(src).split('\n');
for (var i = 0; i < lines.length; i++) {
if (!errors[i+3] && !errors[i+2] && !errors[i+1]) continue;
var line = lines[i];
longForm += line + '\n';
if (errors[i+1]) {
var e = errors[i+1];
e = e.substr(e.split(':', 3).join(':').length + 1).trim();
longForm += sprintf('^^^ %s\n\n', e);
}
}
return {
long: longForm.trim(),
short: shortForm.trim()
};
}
},{"add-line-numbers":14,"gl-constants/lookup":85,"glsl-shader-name":180,"sprintf-js":250}],88:[function(require,module,exports){
module.exports = clone;
/**
* Creates a new mat4 initialized with values from an existing matrix
*
* @param {mat4} a matrix to clone
* @returns {mat4} a new 4x4 matrix
*/
function clone(a) {
var out = new Float32Array(16);
out[0] = a[0];
out[1] = a[1];
out[2] = a[2];
out[3] = a[3];
out[4] = a[4];
out[5] = a[5];
out[6] = a[6];
out[7] = a[7];
out[8] = a[8];
out[9] = a[9];
out[10] = a[10];
out[11] = a[11];
out[12] = a[12];
out[13] = a[13];
out[14] = a[14];
out[15] = a[15];
return out;
};
},{}],89:[function(require,module,exports){
module.exports = create;
/**
* Creates a new identity mat4
*
* @returns {mat4} a new 4x4 matrix
*/
function create() {
var out = new Float32Array(16);
out[0] = 1;
out[1] = 0;
out[2] = 0;
out[3] = 0;
out[4] = 0;
out[5] = 1;
out[6] = 0;
out[7] = 0;
out[8] = 0;
out[9] = 0;
out[10] = 1;
out[11] = 0;
out[12] = 0;
out[13] = 0;
out[14] = 0;
out[15] = 1;
return out;
};
},{}],90:[function(require,module,exports){
module.exports = determinant;
/**
* Calculates the determinant of a mat4
*
* @param {mat4} a the source matrix
* @returns {Number} determinant of a
*/
function determinant(a) {
var a00 = a[0], a01 = a[1], a02 = a[2], a03 = a[3],
a10 = a[4], a11 = a[5], a12 = a[6], a13 = a[7],
a20 = a[8], a21 = a[9], a22 = a[10], a23 = a[11],
a30 = a[12], a31 = a[13], a32 = a[14], a33 = a[15],
b00 = a00 * a11 - a01 * a10,
b01 = a00 * a12 - a02 * a10,
b02 = a00 * a13 - a03 * a10,
b03 = a01 * a12 - a02 * a11,
b04 = a01 * a13 - a03 * a11,
b05 = a02 * a13 - a03 * a12,
b06 = a20 * a31 - a21 * a30,
b07 = a20 * a32 - a22 * a30,
b08 = a20 * a33 - a23 * a30,
b09 = a21 * a32 - a22 * a31,
b10 = a21 * a33 - a23 * a31,
b11 = a22 * a33 - a23 * a32;
// Calculate the determinant
return b00 * b11 - b01 * b10 + b02 * b09 + b03 * b08 - b04 * b07 + b05 * b06;
};
},{}],91:[function(require,module,exports){
module.exports = fromQuat;
/**
* Creates a matrix from a quaternion rotation.
*
* @param {mat4} out mat4 receiving operation result
* @param {quat4} q Rotation quaternion
* @returns {mat4} out
*/
function fromQuat(out, q) {
var x = q[0], y = q[1], z = q[2], w = q[3],
x2 = x + x,
y2 = y + y,
z2 = z + z,
xx = x * x2,
yx = y * x2,
yy = y * y2,
zx = z * x2,
zy = z * y2,
zz = z * z2,
wx = w * x2,
wy = w * y2,
wz = w * z2;
out[0] = 1 - yy - zz;
out[1] = yx + wz;
out[2] = zx - wy;
out[3] = 0;
out[4] = yx - wz;
out[5] = 1 - xx - zz;
out[6] = zy + wx;
out[7] = 0;
out[8] = zx + wy;
out[9] = zy - wx;
out[10] = 1 - xx - yy;
out[11] = 0;
out[12] = 0;
out[13] = 0;
out[14] = 0;
out[15] = 1;
return out;
};
},{}],92:[function(require,module,exports){
module.exports = fromRotationTranslation;
/**
* Creates a matrix from a quaternion rotation and vector translation
* This is equivalent to (but much faster than):
*
* mat4.identity(dest);
* mat4.translate(dest, vec);
* var quatMat = mat4.create();
* quat4.toMat4(quat, quatMat);
* mat4.multiply(dest, quatMat);
*
* @param {mat4} out mat4 receiving operation result
* @param {quat4} q Rotation quaternion
* @param {vec3} v Translation vector
* @returns {mat4} out
*/
function fromRotationTranslation(out, q, v) {
// Quaternion math
var x = q[0], y = q[1], z = q[2], w = q[3],
x2 = x + x,
y2 = y + y,
z2 = z + z,
xx = x * x2,
xy = x * y2,
xz = x * z2,
yy = y * y2,
yz = y * z2,
zz = z * z2,
wx = w * x2,
wy = w * y2,
wz = w * z2;
out[0] = 1 - (yy + zz);
out[1] = xy + wz;
out[2] = xz - wy;
out[3] = 0;
out[4] = xy - wz;
out[5] = 1 - (xx + zz);
out[6] = yz + wx;
out[7] = 0;
out[8] = xz + wy;
out[9] = yz - wx;
out[10] = 1 - (xx + yy);
out[11] = 0;
out[12] = v[0];
out[13] = v[1];
out[14] = v[2];
out[15] = 1;
return out;
};
},{}],93:[function(require,module,exports){
module.exports = identity;
/**
* Set a mat4 to the identity matrix
*
* @param {mat4} out the receiving matrix
* @returns {mat4} out
*/
function identity(out) {
out[0] = 1;
out[1] = 0;
out[2] = 0;
out[3] = 0;
out[4] = 0;
out[5] = 1;
out[6] = 0;
out[7] = 0;
out[8] = 0;
out[9] = 0;
out[10] = 1;
out[11] = 0;
out[12] = 0;
out[13] = 0;
out[14] = 0;
out[15] = 1;
return out;
};
},{}],94:[function(require,module,exports){
module.exports = invert;
/**
* Inverts a mat4
*
* @param {mat4} out the receiving matrix
* @param {mat4} a the source matrix
* @returns {mat4} out
*/
function invert(out, a) {
var a00 = a[0], a01 = a[1], a02 = a[2], a03 = a[3],
a10 = a[4], a11 = a[5], a12 = a[6], a13 = a[7],
a20 = a[8], a21 = a[9], a22 = a[10], a23 = a[11],
a30 = a[12], a31 = a[13], a32 = a[14], a33 = a[15],
b00 = a00 * a11 - a01 * a10,
b01 = a00 * a12 - a02 * a10,
b02 = a00 * a13 - a03 * a10,
b03 = a01 * a12 - a02 * a11,
b04 = a01 * a13 - a03 * a11,
b05 = a02 * a13 - a03 * a12,
b06 = a20 * a31 - a21 * a30,
b07 = a20 * a32 - a22 * a30,
b08 = a20 * a33 - a23 * a30,
b09 = a21 * a32 - a22 * a31,
b10 = a21 * a33 - a23 * a31,
b11 = a22 * a33 - a23 * a32,
// Calculate the determinant
det = b00 * b11 - b01 * b10 + b02 * b09 + b03 * b08 - b04 * b07 + b05 * b06;
if (!det) {
return null;
}
det = 1.0 / det;
out[0] = (a11 * b11 - a12 * b10 + a13 * b09) * det;
out[1] = (a02 * b10 - a01 * b11 - a03 * b09) * det;
out[2] = (a31 * b05 - a32 * b04 + a33 * b03) * det;
out[3] = (a22 * b04 - a21 * b05 - a23 * b03) * det;
out[4] = (a12 * b08 - a10 * b11 - a13 * b07) * det;
out[5] = (a00 * b11 - a02 * b08 + a03 * b07) * det;
out[6] = (a32 * b02 - a30 * b05 - a33 * b01) * det;
out[7] = (a20 * b05 - a22 * b02 + a23 * b01) * det;
out[8] = (a10 * b10 - a11 * b08 + a13 * b06) * det;
out[9] = (a01 * b08 - a00 * b10 - a03 * b06) * det;
out[10] = (a30 * b04 - a31 * b02 + a33 * b00) * det;
out[11] = (a21 * b02 - a20 * b04 - a23 * b00) * det;
out[12] = (a11 * b07 - a10 * b09 - a12 * b06) * det;
out[13] = (a00 * b09 - a01 * b07 + a02 * b06) * det;
out[14] = (a31 * b01 - a30 * b03 - a32 * b00) * det;
out[15] = (a20 * b03 - a21 * b01 + a22 * b00) * det;
return out;
};
},{}],95:[function(require,module,exports){
var identity = require('./identity');
module.exports = lookAt;
/**
* Generates a look-at matrix with the given eye position, focal point, and up axis
*
* @param {mat4} out mat4 frustum matrix will be written into
* @param {vec3} eye Position of the viewer
* @param {vec3} center Point the viewer is looking at
* @param {vec3} up vec3 pointing up
* @returns {mat4} out
*/
function lookAt(out, eye, center, up) {
var x0, x1, x2, y0, y1, y2, z0, z1, z2, len,
eyex = eye[0],
eyey = eye[1],
eyez = eye[2],
upx = up[0],
upy = up[1],
upz = up[2],
centerx = center[0],
centery = center[1],
centerz = center[2];
if (Math.abs(eyex - centerx) < 0.000001 &&
Math.abs(eyey - centery) < 0.000001 &&
Math.abs(eyez - centerz) < 0.000001) {
return identity(out);
}
z0 = eyex - centerx;
z1 = eyey - centery;
z2 = eyez - centerz;
len = 1 / Math.sqrt(z0 * z0 + z1 * z1 + z2 * z2);
z0 *= len;
z1 *= len;
z2 *= len;
x0 = upy * z2 - upz * z1;
x1 = upz * z0 - upx * z2;
x2 = upx * z1 - upy * z0;
len = Math.sqrt(x0 * x0 + x1 * x1 + x2 * x2);
if (!len) {
x0 = 0;
x1 = 0;
x2 = 0;
} else {
len = 1 / len;
x0 *= len;
x1 *= len;
x2 *= len;
}
y0 = z1 * x2 - z2 * x1;
y1 = z2 * x0 - z0 * x2;
y2 = z0 * x1 - z1 * x0;
len = Math.sqrt(y0 * y0 + y1 * y1 + y2 * y2);
if (!len) {
y0 = 0;
y1 = 0;
y2 = 0;
} else {
len = 1 / len;
y0 *= len;
y1 *= len;
y2 *= len;
}
out[0] = x0;
out[1] = y0;
out[2] = z0;
out[3] = 0;
out[4] = x1;
out[5] = y1;
out[6] = z1;
out[7] = 0;
out[8] = x2;
out[9] = y2;
out[10] = z2;
out[11] = 0;
out[12] = -(x0 * eyex + x1 * eyey + x2 * eyez);
out[13] = -(y0 * eyex + y1 * eyey + y2 * eyez);
out[14] = -(z0 * eyex + z1 * eyey + z2 * eyez);
out[15] = 1;
return out;
};
},{"./identity":93}],96:[function(require,module,exports){
module.exports = multiply;
/**
* Multiplies two mat4's
*
* @param {mat4} out the receiving matrix
* @param {mat4} a the first operand
* @param {mat4} b the second operand
* @returns {mat4} out
*/
function multiply(out, a, b) {
var a00 = a[0], a01 = a[1], a02 = a[2], a03 = a[3],
a10 = a[4], a11 = a[5], a12 = a[6], a13 = a[7],
a20 = a[8], a21 = a[9], a22 = a[10], a23 = a[11],
a30 = a[12], a31 = a[13], a32 = a[14], a33 = a[15];
// Cache only the current line of the second matrix
var b0 = b[0], b1 = b[1], b2 = b[2], b3 = b[3];
out[0] = b0*a00 + b1*a10 + b2*a20 + b3*a30;
out[1] = b0*a01 + b1*a11 + b2*a21 + b3*a31;
out[2] = b0*a02 + b1*a12 + b2*a22 + b3*a32;
out[3] = b0*a03 + b1*a13 + b2*a23 + b3*a33;
b0 = b[4]; b1 = b[5]; b2 = b[6]; b3 = b[7];
out[4] = b0*a00 + b1*a10 + b2*a20 + b3*a30;
out[5] = b0*a01 + b1*a11 + b2*a21 + b3*a31;
out[6] = b0*a02 + b1*a12 + b2*a22 + b3*a32;
out[7] = b0*a03 + b1*a13 + b2*a23 + b3*a33;
b0 = b[8]; b1 = b[9]; b2 = b[10]; b3 = b[11];
out[8] = b0*a00 + b1*a10 + b2*a20 + b3*a30;
out[9] = b0*a01 + b1*a11 + b2*a21 + b3*a31;
out[10] = b0*a02 + b1*a12 + b2*a22 + b3*a32;
out[11] = b0*a03 + b1*a13 + b2*a23 + b3*a33;
b0 = b[12]; b1 = b[13]; b2 = b[14]; b3 = b[15];
out[12] = b0*a00 + b1*a10 + b2*a20 + b3*a30;
out[13] = b0*a01 + b1*a11 + b2*a21 + b3*a31;
out[14] = b0*a02 + b1*a12 + b2*a22 + b3*a32;
out[15] = b0*a03 + b1*a13 + b2*a23 + b3*a33;
return out;
};
},{}],97:[function(require,module,exports){
module.exports = perspective;
/**
* Generates a perspective projection matrix with the given bounds
*
* @param {mat4} out mat4 frustum matrix will be written into
* @param {number} fovy Vertical field of view in radians
* @param {number} aspect Aspect ratio. typically viewport width/height
* @param {number} near Near bound of the frustum
* @param {number} far Far bound of the frustum
* @returns {mat4} out
*/
function perspective(out, fovy, aspect, near, far) {
var f = 1.0 / Math.tan(fovy / 2),
nf = 1 / (near - far);
out[0] = f / aspect;
out[1] = 0;
out[2] = 0;
out[3] = 0;
out[4] = 0;
out[5] = f;
out[6] = 0;
out[7] = 0;
out[8] = 0;
out[9] = 0;
out[10] = (far + near) * nf;
out[11] = -1;
out[12] = 0;
out[13] = 0;
out[14] = (2 * far * near) * nf;
out[15] = 0;
return out;
};
},{}],98:[function(require,module,exports){
module.exports = rotate;
/**
* Rotates a mat4 by the given angle
*
* @param {mat4} out the receiving matrix
* @param {mat4} a the matrix to rotate
* @param {Number} rad the angle to rotate the matrix by
* @param {vec3} axis the axis to rotate around
* @returns {mat4} out
*/
function rotate(out, a, rad, axis) {
var x = axis[0], y = axis[1], z = axis[2],
len = Math.sqrt(x * x + y * y + z * z),
s, c, t,
a00, a01, a02, a03,
a10, a11, a12, a13,
a20, a21, a22, a23,
b00, b01, b02,
b10, b11, b12,
b20, b21, b22;
if (Math.abs(len) < 0.000001) { return null; }
len = 1 / len;
x *= len;
y *= len;
z *= len;
s = Math.sin(rad);
c = Math.cos(rad);
t = 1 - c;
a00 = a[0]; a01 = a[1]; a02 = a[2]; a03 = a[3];
a10 = a[4]; a11 = a[5]; a12 = a[6]; a13 = a[7];
a20 = a[8]; a21 = a[9]; a22 = a[10]; a23 = a[11];
// Construct the elements of the rotation matrix
b00 = x * x * t + c; b01 = y * x * t + z * s; b02 = z * x * t - y * s;
b10 = x * y * t - z * s; b11 = y * y * t + c; b12 = z * y * t + x * s;
b20 = x * z * t + y * s; b21 = y * z * t - x * s; b22 = z * z * t + c;
// Perform rotation-specific matrix multiplication
out[0] = a00 * b00 + a10 * b01 + a20 * b02;
out[1] = a01 * b00 + a11 * b01 + a21 * b02;
out[2] = a02 * b00 + a12 * b01 + a22 * b02;
out[3] = a03 * b00 + a13 * b01 + a23 * b02;
out[4] = a00 * b10 + a10 * b11 + a20 * b12;
out[5] = a01 * b10 + a11 * b11 + a21 * b12;
out[6] = a02 * b10 + a12 * b11 + a22 * b12;
out[7] = a03 * b10 + a13 * b11 + a23 * b12;
out[8] = a00 * b20 + a10 * b21 + a20 * b22;
out[9] = a01 * b20 + a11 * b21 + a21 * b22;
out[10] = a02 * b20 + a12 * b21 + a22 * b22;
out[11] = a03 * b20 + a13 * b21 + a23 * b22;
if (a !== out) { // If the source and destination differ, copy the unchanged last row
out[12] = a[12];
out[13] = a[13];
out[14] = a[14];
out[15] = a[15];
}
return out;
};
},{}],99:[function(require,module,exports){
module.exports = rotateX;
/**
* Rotates a matrix by the given angle around the X axis
*
* @param {mat4} out the receiving matrix
* @param {mat4} a the matrix to rotate
* @param {Number} rad the angle to rotate the matrix by
* @returns {mat4} out
*/
function rotateX(out, a, rad) {
var s = Math.sin(rad),
c = Math.cos(rad),
a10 = a[4],
a11 = a[5],
a12 = a[6],
a13 = a[7],
a20 = a[8],
a21 = a[9],
a22 = a[10],
a23 = a[11];
if (a !== out) { // If the source and destination differ, copy the unchanged rows
out[0] = a[0];
out[1] = a[1];
out[2] = a[2];
out[3] = a[3];
out[12] = a[12];
out[13] = a[13];
out[14] = a[14];
out[15] = a[15];
}
// Perform axis-specific matrix multiplication
out[4] = a10 * c + a20 * s;
out[5] = a11 * c + a21 * s;
out[6] = a12 * c + a22 * s;
out[7] = a13 * c + a23 * s;
out[8] = a20 * c - a10 * s;
out[9] = a21 * c - a11 * s;
out[10] = a22 * c - a12 * s;
out[11] = a23 * c - a13 * s;
return out;
};
},{}],100:[function(require,module,exports){
module.exports = rotateY;
/**
* Rotates a matrix by the given angle around the Y axis
*
* @param {mat4} out the receiving matrix
* @param {mat4} a the matrix to rotate
* @param {Number} rad the angle to rotate the matrix by
* @returns {mat4} out
*/
function rotateY(out, a, rad) {
var s = Math.sin(rad),
c = Math.cos(rad),
a00 = a[0],
a01 = a[1],
a02 = a[2],
a03 = a[3],
a20 = a[8],
a21 = a[9],
a22 = a[10],
a23 = a[11];
if (a !== out) { // If the source and destination differ, copy the unchanged rows
out[4] = a[4];
out[5] = a[5];
out[6] = a[6];
out[7] = a[7];
out[12] = a[12];
out[13] = a[13];
out[14] = a[14];
out[15] = a[15];
}
// Perform axis-specific matrix multiplication
out[0] = a00 * c - a20 * s;
out[1] = a01 * c - a21 * s;
out[2] = a02 * c - a22 * s;
out[3] = a03 * c - a23 * s;
out[8] = a00 * s + a20 * c;
out[9] = a01 * s + a21 * c;
out[10] = a02 * s + a22 * c;
out[11] = a03 * s + a23 * c;
return out;
};
},{}],101:[function(require,module,exports){
module.exports = rotateZ;
/**
* Rotates a matrix by the given angle around the Z axis
*
* @param {mat4} out the receiving matrix
* @param {mat4} a the matrix to rotate
* @param {Number} rad the angle to rotate the matrix by
* @returns {mat4} out
*/
function rotateZ(out, a, rad) {
var s = Math.sin(rad),
c = Math.cos(rad),
a00 = a[0],
a01 = a[1],
a02 = a[2],
a03 = a[3],
a10 = a[4],
a11 = a[5],
a12 = a[6],
a13 = a[7];
if (a !== out) { // If the source and destination differ, copy the unchanged last row
out[8] = a[8];
out[9] = a[9];
out[10] = a[10];
out[11] = a[11];
out[12] = a[12];
out[13] = a[13];
out[14] = a[14];
out[15] = a[15];
}
// Perform axis-specific matrix multiplication
out[0] = a00 * c + a10 * s;
out[1] = a01 * c + a11 * s;
out[2] = a02 * c + a12 * s;
out[3] = a03 * c + a13 * s;
out[4] = a10 * c - a00 * s;
out[5] = a11 * c - a01 * s;
out[6] = a12 * c - a02 * s;
out[7] = a13 * c - a03 * s;
return out;
};
},{}],102:[function(require,module,exports){
module.exports = scale;
/**
* Scales the mat4 by the dimensions in the given vec3
*
* @param {mat4} out the receiving matrix
* @param {mat4} a the matrix to scale
* @param {vec3} v the vec3 to scale the matrix by
* @returns {mat4} out
**/
function scale(out, a, v) {
var x = v[0], y = v[1], z = v[2];
out[0] = a[0] * x;
out[1] = a[1] * x;
out[2] = a[2] * x;
out[3] = a[3] * x;
out[4] = a[4] * y;
out[5] = a[5] * y;
out[6] = a[6] * y;
out[7] = a[7] * y;
out[8] = a[8] * z;
out[9] = a[9] * z;
out[10] = a[10] * z;
out[11] = a[11] * z;
out[12] = a[12];
out[13] = a[13];
out[14] = a[14];
out[15] = a[15];
return out;
};
},{}],103:[function(require,module,exports){
module.exports = translate;
/**
* Translate a mat4 by the given vector
*
* @param {mat4} out the receiving matrix
* @param {mat4} a the matrix to translate
* @param {vec3} v vector to translate by
* @returns {mat4} out
*/
function translate(out, a, v) {
var x = v[0], y = v[1], z = v[2],
a00, a01, a02, a03,
a10, a11, a12, a13,
a20, a21, a22, a23;
if (a === out) {
out[12] = a[0] * x + a[4] * y + a[8] * z + a[12];
out[13] = a[1] * x + a[5] * y + a[9] * z + a[13];
out[14] = a[2] * x + a[6] * y + a[10] * z + a[14];
out[15] = a[3] * x + a[7] * y + a[11] * z + a[15];
} else {
a00 = a[0]; a01 = a[1]; a02 = a[2]; a03 = a[3];
a10 = a[4]; a11 = a[5]; a12 = a[6]; a13 = a[7];
a20 = a[8]; a21 = a[9]; a22 = a[10]; a23 = a[11];
out[0] = a00; out[1] = a01; out[2] = a02; out[3] = a03;
out[4] = a10; out[5] = a11; out[6] = a12; out[7] = a13;
out[8] = a20; out[9] = a21; out[10] = a22; out[11] = a23;
out[12] = a00 * x + a10 * y + a20 * z + a[12];
out[13] = a01 * x + a11 * y + a21 * z + a[13];
out[14] = a02 * x + a12 * y + a22 * z + a[14];
out[15] = a03 * x + a13 * y + a23 * z + a[15];
}
return out;
};
},{}],104:[function(require,module,exports){
module.exports = transpose;
/**
* Transpose the values of a mat4
*
* @param {mat4} out the receiving matrix
* @param {mat4} a the source matrix
* @returns {mat4} out
*/
function transpose(out, a) {
// If we are transposing ourselves we can skip a few steps but have to cache some values
if (out === a) {
var a01 = a[1], a02 = a[2], a03 = a[3],
a12 = a[6], a13 = a[7],
a23 = a[11];
out[1] = a[4];
out[2] = a[8];
out[3] = a[12];
out[4] = a01;
out[6] = a[9];
out[7] = a[13];
out[8] = a02;
out[9] = a12;
out[11] = a[14];
out[12] = a03;
out[13] = a13;
out[14] = a23;
} else {
out[0] = a[0];
out[1] = a[4];
out[2] = a[8];
out[3] = a[12];
out[4] = a[1];
out[5] = a[5];
out[6] = a[9];
out[7] = a[13];
out[8] = a[2];
out[9] = a[6];
out[10] = a[10];
out[11] = a[14];
out[12] = a[3];
out[13] = a[7];
out[14] = a[11];
out[15] = a[15];
}
return out;
};
},{}],105:[function(require,module,exports){
module.exports = slerp
/**
* Performs a spherical linear interpolation between two quat
*
* @param {quat} out the receiving quaternion
* @param {quat} a the first operand
* @param {quat} b the second operand
* @param {Number} t interpolation amount between the two inputs
* @returns {quat} out
*/
function slerp (out, a, b, t) {
// benchmarks:
// http://jsperf.com/quaternion-slerp-implementations
var ax = a[0], ay = a[1], az = a[2], aw = a[3],
bx = b[0], by = b[1], bz = b[2], bw = b[3]
var omega, cosom, sinom, scale0, scale1
// calc cosine
cosom = ax * bx + ay * by + az * bz + aw * bw
// adjust signs (if necessary)
if (cosom < 0.0) {
cosom = -cosom
bx = -bx
by = -by
bz = -bz
bw = -bw
}
// calculate coefficients
if ((1.0 - cosom) > 0.000001) {
// standard case (slerp)
omega = Math.acos(cosom)
sinom = Math.sin(omega)
scale0 = Math.sin((1.0 - t) * omega) / sinom
scale1 = Math.sin(t * omega) / sinom
} else {
// "from" and "to" quaternions are very close
// ... so we can do a linear interpolation
scale0 = 1.0 - t
scale1 = t
}
// calculate final values
out[0] = scale0 * ax + scale1 * bx
out[1] = scale0 * ay + scale1 * by
out[2] = scale0 * az + scale1 * bz
out[3] = scale0 * aw + scale1 * bw
return out
}
},{}],106:[function(require,module,exports){
'use strict'
module.exports = createSelectBuffer
var createFBO = require('gl-fbo')
var pool = require('typedarray-pool')
var ndarray = require('ndarray')
var nextPow2 = require('bit-twiddle').nextPow2
var selectRange = require('cwise/lib/wrapper')({"args":["array",{"offset":[0,0,1],"array":0},{"offset":[0,0,2],"array":0},{"offset":[0,0,3],"array":0},"scalar","scalar","index"],"pre":{"body":"{this_closestD2=1e8,this_closestX=-1,this_closestY=-1}","args":[],"thisVars":["this_closestD2","this_closestX","this_closestY"],"localVars":[]},"body":{"body":"{if(_inline_1_arg0_<255||_inline_1_arg1_<255||_inline_1_arg2_<255||_inline_1_arg3_<255){var _inline_1_l=_inline_1_arg4_-_inline_1_arg6_[0],_inline_1_a=_inline_1_arg5_-_inline_1_arg6_[1],_inline_1_f=_inline_1_l*_inline_1_l+_inline_1_a*_inline_1_a;_inline_1_f<this_closestD2&&(this_closestD2=_inline_1_f,this_closestX=_inline_1_arg6_[0],this_closestY=_inline_1_arg6_[1])}}","args":[{"name":"_inline_1_arg0_","lvalue":false,"rvalue":true,"count":1},{"name":"_inline_1_arg1_","lvalue":false,"rvalue":true,"count":1},{"name":"_inline_1_arg2_","lvalue":false,"rvalue":true,"count":1},{"name":"_inline_1_arg3_","lvalue":false,"rvalue":true,"count":1},{"name":"_inline_1_arg4_","lvalue":false,"rvalue":true,"count":1},{"name":"_inline_1_arg5_","lvalue":false,"rvalue":true,"count":1},{"name":"_inline_1_arg6_","lvalue":false,"rvalue":true,"count":4}],"thisVars":["this_closestD2","this_closestX","this_closestY"],"localVars":["_inline_1_a","_inline_1_f","_inline_1_l"]},"post":{"body":"{return[this_closestX,this_closestY,this_closestD2]}","args":[],"thisVars":["this_closestD2","this_closestX","this_closestY"],"localVars":[]},"debug":false,"funcName":"cwise","blockSize":64})
function SelectResult(x, y, id, value, distance) {
this.coord = [x, y]
this.id = id
this.value = value
this.distance = distance
}
function SelectBuffer(gl, fbo, buffer) {
this.gl = gl
this.fbo = fbo
this.buffer = buffer
this._readTimeout = null
var self = this
this._readCallback = function() {
if(!self.gl) {
return
}
fbo.bind()
gl.readPixels(0,0,fbo.shape[0],fbo.shape[1],gl.RGBA,gl.UNSIGNED_BYTE,self.buffer)
self._readTimeout = null
}
}
var proto = SelectBuffer.prototype
Object.defineProperty(proto, 'shape', {
get: function() {
if(!this.gl) {
return [0,0]
}
return this.fbo.shape.slice()
},
set: function(v) {
if(!this.gl) {
return
}
this.fbo.shape = v
var c = this.fbo.shape[0]
var r = this.fbo.shape[1]
if(r*c*4 > this.buffer.length) {
pool.free(this.buffer)
var buffer = this.buffer = pool.mallocUint8(nextPow2(r*c*4))
for(var i=0; i<r*c*4; ++i) {
buffer[i] = 0xff
}
}
return v
}
})
proto.begin = function() {
var gl = this.gl
var shape = this.shape
if(!gl) {
return
}
this.fbo.bind()
gl.clearColor(1,1,1,1)
gl.clear(gl.COLOR_BUFFER_BIT | gl.DEPTH_BUFFER_BIT)
}
proto.end = function() {
var gl = this.gl
if(!gl) {
return
}
gl.bindFramebuffer(gl.FRAMEBUFFER, null)
if(!this._readTimeout) {
clearTimeout(this._readTimeout)
}
this._readTimeout = setTimeout(this._readCallback, 1)
}
proto.query = function(x, y, radius) {
if(!this.gl) {
return null
}
var shape = this.fbo.shape.slice()
x = x|0
y = y|0
if(typeof radius !== 'number') {
radius = 1.0
}
var x0 = Math.min(Math.max(x - radius, 0), shape[0])|0
var x1 = Math.min(Math.max(x + radius, 0), shape[0])|0
var y0 = Math.min(Math.max(y - radius, 0), shape[1])|0
var y1 = Math.min(Math.max(y + radius, 0), shape[1])|0
if(x1 <= x0 || y1 <= y0) {
return null
}
var dims = [x1-x0,y1-y0]
var region = ndarray(
this.buffer,
[dims[0], dims[1], 4],
[4, shape[0]*4, 1],
4*(x0 + shape[0]*y0));
var closest = selectRange(region.hi(dims[0],dims[1],1), radius, radius)
var dx = closest[0]
var dy = closest[1]
if(dx < 0 || Math.pow(this.radius, 2) < closest[2]) {
return null
}
var c0 = region.get(dx, dy, 0)
var c1 = region.get(dx, dy, 1)
var c2 = region.get(dx, dy, 2)
var c3 = region.get(dx, dy, 3)
return new SelectResult(
(dx + x0)|0,
(dy + y0)|0,
c0,
[c1, c2, c3],
Math.sqrt(closest[2]))
}
proto.dispose = function() {
if(!this.gl) {
return
}
this.fbo.dispose()
pool.free(this.buffer)
this.gl = null
if(this._readTimeout) {
clearTimeout(this._readTimeout)
}
}
function createSelectBuffer(gl, shape) {
var fbo = createFBO(gl, shape)
var buffer = pool.mallocUint8(shape[0]*shape[1]*4)
return new SelectBuffer(gl, fbo, buffer)
}
},{"bit-twiddle":36,"cwise/lib/wrapper":68,"gl-fbo":86,"ndarray":208,"typedarray-pool":257}],107:[function(require,module,exports){
'use strict'
var createUniformWrapper = require('./lib/create-uniforms')
var createAttributeWrapper = require('./lib/create-attributes')
var makeReflect = require('./lib/reflect')
var shaderCache = require('./lib/shader-cache')
var runtime = require('./lib/runtime-reflect')
var GLError = require("./lib/GLError")
//Shader object
function Shader(gl) {
this.gl = gl
this.gl.lastAttribCount = 0 // fixme where else should we store info, safe but not nice on the gl object
//Default initialize these to null
this._vref =
this._fref =
this._relink =
this.vertShader =
this.fragShader =
this.program =
this.attributes =
this.uniforms =
this.types = null
}
var proto = Shader.prototype
proto.bind = function() {
if(!this.program) {
this._relink()
}
// ensuring that we have the right number of enabled vertex attributes
var i
var newAttribCount = this.gl.getProgramParameter(this.program, this.gl.ACTIVE_ATTRIBUTES) // more robust approach
//var newAttribCount = Object.keys(this.attributes).length // avoids the probably immaterial introspection slowdown
var oldAttribCount = this.gl.lastAttribCount
if(newAttribCount > oldAttribCount) {
for(i = oldAttribCount; i < newAttribCount; i++) {
this.gl.enableVertexAttribArray(i)
}
} else if(oldAttribCount > newAttribCount) {
for(i = newAttribCount; i < oldAttribCount; i++) {
this.gl.disableVertexAttribArray(i)
}
}
this.gl.lastAttribCount = newAttribCount
this.gl.useProgram(this.program)
}
proto.dispose = function() {
// disabling vertex attributes so new shader starts with zero
// and it's also useful if all shaders are disposed but the
// gl context is reused for subsequent replotting
var oldAttribCount = this.gl.lastAttribCount
for (var i = 0; i < oldAttribCount; i++) {
this.gl.disableVertexAttribArray(i)
}
this.gl.lastAttribCount = 0
if(this._fref) {
this._fref.dispose()
}
if(this._vref) {
this._vref.dispose()
}
this.attributes =
this.types =
this.vertShader =
this.fragShader =
this.program =
this._relink =
this._fref =
this._vref = null
}
function compareAttributes(a, b) {
if(a.name < b.name) {
return -1
}
return 1
}
//Update export hook for glslify-live
proto.update = function(
vertSource
, fragSource
, uniforms
, attributes) {
//If only one object passed, assume glslify style output
if(!fragSource || arguments.length === 1) {
var obj = vertSource
vertSource = obj.vertex
fragSource = obj.fragment
uniforms = obj.uniforms
attributes = obj.attributes
}
var wrapper = this
var gl = wrapper.gl
//Compile vertex and fragment shaders
var pvref = wrapper._vref
wrapper._vref = shaderCache.shader(gl, gl.VERTEX_SHADER, vertSource)
if(pvref) {
pvref.dispose()
}
wrapper.vertShader = wrapper._vref.shader
var pfref = this._fref
wrapper._fref = shaderCache.shader(gl, gl.FRAGMENT_SHADER, fragSource)
if(pfref) {
pfref.dispose()
}
wrapper.fragShader = wrapper._fref.shader
//If uniforms/attributes is not specified, use RT reflection
if(!uniforms || !attributes) {
//Create initial test program
var testProgram = gl.createProgram()
gl.attachShader(testProgram, wrapper.fragShader)
gl.attachShader(testProgram, wrapper.vertShader)
gl.linkProgram(testProgram)
if(!gl.getProgramParameter(testProgram, gl.LINK_STATUS)) {
var errLog = gl.getProgramInfoLog(testProgram)
throw new GLError(errLog, 'Error linking program:' + errLog)
}
//Load data from runtime
uniforms = uniforms || runtime.uniforms(gl, testProgram)
attributes = attributes || runtime.attributes(gl, testProgram)
//Release test program
gl.deleteProgram(testProgram)
}
//Sort attributes lexicographically
// overrides undefined WebGL behavior for attribute locations
attributes = attributes.slice()
attributes.sort(compareAttributes)
//Convert attribute types, read out locations
var attributeUnpacked = []
var attributeNames = []
var attributeLocations = []
var i
for(i=0; i<attributes.length; ++i) {
var attr = attributes[i]
if(attr.type.indexOf('mat') >= 0) {
var size = attr.type.charAt(attr.type.length-1)|0
var locVector = new Array(size)
for(var j=0; j<size; ++j) {
locVector[j] = attributeLocations.length
attributeNames.push(attr.name + '[' + j + ']')
if(typeof attr.location === 'number') {
attributeLocations.push(attr.location + j)
} else if(Array.isArray(attr.location) &&
attr.location.length === size &&
typeof attr.location[j] === 'number') {
attributeLocations.push(attr.location[j]|0)
} else {
attributeLocations.push(-1)
}
}
attributeUnpacked.push({
name: attr.name,
type: attr.type,
locations: locVector
})
} else {
attributeUnpacked.push({
name: attr.name,
type: attr.type,
locations: [ attributeLocations.length ]
})
attributeNames.push(attr.name)
if(typeof attr.location === 'number') {
attributeLocations.push(attr.location|0)
} else {
attributeLocations.push(-1)
}
}
}
//For all unspecified attributes, assign them lexicographically min attribute
var curLocation = 0
for(i=0; i<attributeLocations.length; ++i) {
if(attributeLocations[i] < 0) {
while(attributeLocations.indexOf(curLocation) >= 0) {
curLocation += 1
}
attributeLocations[i] = curLocation
}
}
//Rebuild program and recompute all uniform locations
var uniformLocations = new Array(uniforms.length)
function relink() {
wrapper.program = shaderCache.program(
gl
, wrapper._vref
, wrapper._fref
, attributeNames
, attributeLocations)
for(var i=0; i<uniforms.length; ++i) {
uniformLocations[i] = gl.getUniformLocation(
wrapper.program
, uniforms[i].name)
}
}
//Perform initial linking, reuse program used for reflection
relink()
//Save relinking procedure, defer until runtime
wrapper._relink = relink
//Generate type info
wrapper.types = {
uniforms: makeReflect(uniforms),
attributes: makeReflect(attributes)
}
//Generate attribute wrappers
wrapper.attributes = createAttributeWrapper(
gl
, wrapper
, attributeUnpacked
, attributeLocations)
//Generate uniform wrappers
Object.defineProperty(wrapper, 'uniforms', createUniformWrapper(
gl
, wrapper
, uniforms
, uniformLocations))
}
//Compiles and links a shader program with the given attribute and vertex list
function createShader(
gl
, vertSource
, fragSource
, uniforms
, attributes) {
var shader = new Shader(gl)
shader.update(
vertSource
, fragSource
, uniforms
, attributes)
return shader
}
module.exports = createShader
},{"./lib/GLError":108,"./lib/create-attributes":109,"./lib/create-uniforms":110,"./lib/reflect":111,"./lib/runtime-reflect":112,"./lib/shader-cache":113}],108:[function(require,module,exports){
function GLError (rawError, shortMessage, longMessage) {
this.shortMessage = shortMessage || ''
this.longMessage = longMessage || ''
this.rawError = rawError || ''
this.message =
'gl-shader: ' + (shortMessage || rawError || '') +
(longMessage ? '\n'+longMessage : '')
this.stack = (new Error()).stack
}
GLError.prototype = new Error
GLError.prototype.name = 'GLError'
GLError.prototype.constructor = GLError
module.exports = GLError
},{}],109:[function(require,module,exports){
'use strict'
module.exports = createAttributeWrapper
var GLError = require("./GLError")
function ShaderAttribute(
gl
, wrapper
, index
, locations
, dimension
, constFunc) {
this._gl = gl
this._wrapper = wrapper
this._index = index
this._locations = locations
this._dimension = dimension
this._constFunc = constFunc
}
var proto = ShaderAttribute.prototype
proto.pointer = function setAttribPointer(
type
, normalized
, stride
, offset) {
var self = this
var gl = self._gl
var location = self._locations[self._index]
gl.vertexAttribPointer(
location
, self._dimension
, type || gl.FLOAT
, !!normalized
, stride || 0
, offset || 0)
gl.enableVertexAttribArray(location)
}
proto.set = function(x0, x1, x2, x3) {
return this._constFunc(this._locations[this._index], x0, x1, x2, x3)
}
Object.defineProperty(proto, 'location', {
get: function() {
return this._locations[this._index]
}
, set: function(v) {
if(v !== this._locations[this._index]) {
this._locations[this._index] = v|0
this._wrapper.program = null
}
return v|0
}
})
//Adds a vector attribute to obj
function addVectorAttribute(
gl
, wrapper
, index
, locations
, dimension
, obj
, name) {
//Construct constant function
var constFuncArgs = [ 'gl', 'v' ]
var varNames = []
for(var i=0; i<dimension; ++i) {
constFuncArgs.push('x'+i)
varNames.push('x'+i)
}
constFuncArgs.push(
'if(x0.length===void 0){return gl.vertexAttrib' +
dimension + 'f(v,' +
varNames.join() +
')}else{return gl.vertexAttrib' +
dimension +
'fv(v,x0)}')
var constFunc = Function.apply(null, constFuncArgs)
//Create attribute wrapper
var attr = new ShaderAttribute(
gl
, wrapper
, index
, locations
, dimension
, constFunc)
//Create accessor
Object.defineProperty(obj, name, {
set: function(x) {
gl.disableVertexAttribArray(locations[index])
constFunc(gl, locations[index], x)
return x
}
, get: function() {
return attr
}
, enumerable: true
})
}
function addMatrixAttribute(
gl
, wrapper
, index
, locations
, dimension
, obj
, name) {
var parts = new Array(dimension)
var attrs = new Array(dimension)
for(var i=0; i<dimension; ++i) {
addVectorAttribute(
gl
, wrapper
, index[i]
, locations
, dimension
, parts
, i)
attrs[i] = parts[i]
}
Object.defineProperty(parts, 'location', {
set: function(v) {
if(Array.isArray(v)) {
for(var i=0; i<dimension; ++i) {
attrs[i].location = v[i]
}
} else {
for(var i=0; i<dimension; ++i) {
attrs[i].location = v + i
}
}
return v
}
, get: function() {
var result = new Array(dimension)
for(var i=0; i<dimension; ++i) {
result[i] = locations[index[i]]
}
return result
}
, enumerable: true
})
parts.pointer = function(type, normalized, stride, offset) {
type = type || gl.FLOAT
normalized = !!normalized
stride = stride || (dimension * dimension)
offset = offset || 0
for(var i=0; i<dimension; ++i) {
var location = locations[index[i]]
gl.vertexAttribPointer(
location
, dimension
, type
, normalized
, stride
, offset + i * dimension)
gl.enableVertexAttribArray(location)
}
}
var scratch = new Array(dimension)
var vertexAttrib = gl['vertexAttrib' + dimension + 'fv']
Object.defineProperty(obj, name, {
set: function(x) {
for(var i=0; i<dimension; ++i) {
var loc = locations[index[i]]
gl.disableVertexAttribArray(loc)
if(Array.isArray(x[0])) {
vertexAttrib.call(gl, loc, x[i])
} else {
for(var j=0; j<dimension; ++j) {
scratch[j] = x[dimension*i + j]
}
vertexAttrib.call(gl, loc, scratch)
}
}
return x
}
, get: function() {
return parts
}
, enumerable: true
})
}
//Create shims for attributes
function createAttributeWrapper(
gl
, wrapper
, attributes
, locations) {
var obj = {}
for(var i=0, n=attributes.length; i<n; ++i) {
var a = attributes[i]
var name = a.name
var type = a.type
var locs = a.locations
switch(type) {
case 'bool':
case 'int':
case 'float':
addVectorAttribute(
gl
, wrapper
, locs[0]
, locations
, 1
, obj
, name)
break
default:
if(type.indexOf('vec') >= 0) {
var d = type.charCodeAt(type.length-1) - 48
if(d < 2 || d > 4) {
throw new GLError('', 'Invalid data type for attribute ' + name + ': ' + type)
}
addVectorAttribute(
gl
, wrapper
, locs[0]
, locations
, d
, obj
, name)
} else if(type.indexOf('mat') >= 0) {
var d = type.charCodeAt(type.length-1) - 48
if(d < 2 || d > 4) {
throw new GLError('', 'Invalid data type for attribute ' + name + ': ' + type)
}
addMatrixAttribute(
gl
, wrapper
, locs
, locations
, d
, obj
, name)
} else {
throw new GLError('', 'Unknown data type for attribute ' + name + ': ' + type)
}
break
}
}
return obj
}
},{"./GLError":108}],110:[function(require,module,exports){
'use strict'
var coallesceUniforms = require('./reflect')
var GLError = require("./GLError")
module.exports = createUniformWrapper
//Binds a function and returns a value
function identity(x) {
var c = new Function('y', 'return function(){return y}')
return c(x)
}
function makeVector(length, fill) {
var result = new Array(length)
for(var i=0; i<length; ++i) {
result[i] = fill
}
return result
}
//Create shims for uniforms
function createUniformWrapper(gl, wrapper, uniforms, locations) {
function makeGetter(index) {
var proc = new Function(
'gl'
, 'wrapper'
, 'locations'
, 'return function(){return gl.getUniform(wrapper.program,locations[' + index + '])}')
return proc(gl, wrapper, locations)
}
function makePropSetter(path, index, type) {
switch(type) {
case 'bool':
case 'int':
case 'sampler2D':
case 'samplerCube':
return 'gl.uniform1i(locations[' + index + '],obj' + path + ')'
case 'float':
return 'gl.uniform1f(locations[' + index + '],obj' + path + ')'
default:
var vidx = type.indexOf('vec')
if(0 <= vidx && vidx <= 1 && type.length === 4 + vidx) {
var d = type.charCodeAt(type.length-1) - 48
if(d < 2 || d > 4) {
throw new GLError('', 'Invalid data type')
}
switch(type.charAt(0)) {
case 'b':
case 'i':
return 'gl.uniform' + d + 'iv(locations[' + index + '],obj' + path + ')'
case 'v':
return 'gl.uniform' + d + 'fv(locations[' + index + '],obj' + path + ')'
default:
throw new GLError('', 'Unrecognized data type for vector ' + name + ': ' + type)
}
} else if(type.indexOf('mat') === 0 && type.length === 4) {
var d = type.charCodeAt(type.length-1) - 48
if(d < 2 || d > 4) {
throw new GLError('', 'Invalid uniform dimension type for matrix ' + name + ': ' + type)
}
return 'gl.uniformMatrix' + d + 'fv(locations[' + index + '],false,obj' + path + ')'
} else {
throw new GLError('', 'Unknown uniform data type for ' + name + ': ' + type)
}
break
}
}
function enumerateIndices(prefix, type) {
if(typeof type !== 'object') {
return [ [prefix, type] ]
}
var indices = []
for(var id in type) {
var prop = type[id]
var tprefix = prefix
if(parseInt(id) + '' === id) {
tprefix += '[' + id + ']'
} else {
tprefix += '.' + id
}
if(typeof prop === 'object') {
indices.push.apply(indices, enumerateIndices(tprefix, prop))
} else {
indices.push([tprefix, prop])
}
}
return indices
}
function makeSetter(type) {
var code = [ 'return function updateProperty(obj){' ]
var indices = enumerateIndices('', type)
for(var i=0; i<indices.length; ++i) {
var item = indices[i]
var path = item[0]
var idx = item[1]
if(locations[idx]) {
code.push(makePropSetter(path, idx, uniforms[idx].type))
}
}
code.push('return obj}')
var proc = new Function('gl', 'locations', code.join('\n'))
return proc(gl, locations)
}
function defaultValue(type) {
switch(type) {
case 'bool':
return false
case 'int':
case 'sampler2D':
case 'samplerCube':
return 0
case 'float':
return 0.0
default:
var vidx = type.indexOf('vec')
if(0 <= vidx && vidx <= 1 && type.length === 4 + vidx) {
var d = type.charCodeAt(type.length-1) - 48
if(d < 2 || d > 4) {
throw new GLError('', 'Invalid data type')
}
if(type.charAt(0) === 'b') {
return makeVector(d, false)
}
return makeVector(d, 0)
} else if(type.indexOf('mat') === 0 && type.length === 4) {
var d = type.charCodeAt(type.length-1) - 48
if(d < 2 || d > 4) {
throw new GLError('', 'Invalid uniform dimension type for matrix ' + name + ': ' + type)
}
return makeVector(d*d, 0)
} else {
throw new GLError('', 'Unknown uniform data type for ' + name + ': ' + type)
}
break
}
}
function storeProperty(obj, prop, type) {
if(typeof type === 'object') {
var child = processObject(type)
Object.defineProperty(obj, prop, {
get: identity(child),
set: makeSetter(type),
enumerable: true,
configurable: false
})
} else {
if(locations[type]) {
Object.defineProperty(obj, prop, {
get: makeGetter(type),
set: makeSetter(type),
enumerable: true,
configurable: false
})
} else {
obj[prop] = defaultValue(uniforms[type].type)
}
}
}
function processObject(obj) {
var result
if(Array.isArray(obj)) {
result = new Array(obj.length)
for(var i=0; i<obj.length; ++i) {
storeProperty(result, i, obj[i])
}
} else {
result = {}
for(var id in obj) {
storeProperty(result, id, obj[id])
}
}
return result
}
//Return data
var coallesced = coallesceUniforms(uniforms, true)
return {
get: identity(processObject(coallesced)),
set: makeSetter(coallesced),
enumerable: true,
configurable: true
}
}
},{"./GLError":108,"./reflect":111}],111:[function(require,module,exports){
'use strict'
module.exports = makeReflectTypes
//Construct type info for reflection.
//
// This iterates over the flattened list of uniform type values and smashes them into a JSON object.
//
// The leaves of the resulting object are either indices or type strings representing primitive glslify types
function makeReflectTypes(uniforms, useIndex) {
var obj = {}
for(var i=0; i<uniforms.length; ++i) {
var n = uniforms[i].name
var parts = n.split(".")
var o = obj
for(var j=0; j<parts.length; ++j) {
var x = parts[j].split("[")
if(x.length > 1) {
if(!(x[0] in o)) {
o[x[0]] = []
}
o = o[x[0]]
for(var k=1; k<x.length; ++k) {
var y = parseInt(x[k])
if(k<x.length-1 || j<parts.length-1) {
if(!(y in o)) {
if(k < x.length-1) {
o[y] = []
} else {
o[y] = {}
}
}
o = o[y]
} else {
if(useIndex) {
o[y] = i
} else {
o[y] = uniforms[i].type
}
}
}
} else if(j < parts.length-1) {
if(!(x[0] in o)) {
o[x[0]] = {}
}
o = o[x[0]]
} else {
if(useIndex) {
o[x[0]] = i
} else {
o[x[0]] = uniforms[i].type
}
}
}
}
return obj
}
},{}],112:[function(require,module,exports){
'use strict'
exports.uniforms = runtimeUniforms
exports.attributes = runtimeAttributes
var GL_TO_GLSL_TYPES = {
'FLOAT': 'float',
'FLOAT_VEC2': 'vec2',
'FLOAT_VEC3': 'vec3',
'FLOAT_VEC4': 'vec4',
'INT': 'int',
'INT_VEC2': 'ivec2',
'INT_VEC3': 'ivec3',
'INT_VEC4': 'ivec4',
'BOOL': 'bool',
'BOOL_VEC2': 'bvec2',
'BOOL_VEC3': 'bvec3',
'BOOL_VEC4': 'bvec4',
'FLOAT_MAT2': 'mat2',
'FLOAT_MAT3': 'mat3',
'FLOAT_MAT4': 'mat4',
'SAMPLER_2D': 'sampler2D',
'SAMPLER_CUBE':'samplerCube'
}
var GL_TABLE = null
function getType(gl, type) {
if(!GL_TABLE) {
var typeNames = Object.keys(GL_TO_GLSL_TYPES)
GL_TABLE = {}
for(var i=0; i<typeNames.length; ++i) {
var tn = typeNames[i]
GL_TABLE[gl[tn]] = GL_TO_GLSL_TYPES[tn]
}
}
return GL_TABLE[type]
}
function runtimeUniforms(gl, program) {
var numUniforms = gl.getProgramParameter(program, gl.ACTIVE_UNIFORMS)
var result = []
for(var i=0; i<numUniforms; ++i) {
var info = gl.getActiveUniform(program, i)
if(info) {
var type = getType(gl, info.type)
if(info.size > 1) {
for(var j=0; j<info.size; ++j) {
result.push({
name: info.name.replace('[0]', '[' + j + ']'),
type: type
})
}
} else {
result.push({
name: info.name,
type: type
})
}
}
}
return result
}
function runtimeAttributes(gl, program) {
var numAttributes = gl.getProgramParameter(program, gl.ACTIVE_ATTRIBUTES)
var result = []
for(var i=0; i<numAttributes; ++i) {
var info = gl.getActiveAttrib(program, i)
if(info) {
result.push({
name: info.name,
type: getType(gl, info.type)
})
}
}
return result
}
},{}],113:[function(require,module,exports){
'use strict'
exports.shader = getShaderReference
exports.program = createProgram
var GLError = require("./GLError")
var formatCompilerError = require('gl-format-compiler-error');
var weakMap = typeof WeakMap === 'undefined' ? require('weakmap-shim') : WeakMap
var CACHE = new weakMap()
var SHADER_COUNTER = 0
function ShaderReference(id, src, type, shader, programs, count, cache) {
this.id = id
this.src = src
this.type = type
this.shader = shader
this.count = count
this.programs = []
this.cache = cache
}
ShaderReference.prototype.dispose = function() {
if(--this.count === 0) {
var cache = this.cache
var gl = cache.gl
//Remove program references
var programs = this.programs
for(var i=0, n=programs.length; i<n; ++i) {
var p = cache.programs[programs[i]]
if(p) {
delete cache.programs[i]
gl.deleteProgram(p)
}
}
//Remove shader reference
gl.deleteShader(this.shader)
delete cache.shaders[(this.type === gl.FRAGMENT_SHADER)|0][this.src]
}
}
function ContextCache(gl) {
this.gl = gl
this.shaders = [{}, {}]
this.programs = {}
}
var proto = ContextCache.prototype
function compileShader(gl, type, src) {
var shader = gl.createShader(type)
gl.shaderSource(shader, src)
gl.compileShader(shader)
if(!gl.getShaderParameter(shader, gl.COMPILE_STATUS)) {
var errLog = gl.getShaderInfoLog(shader)
try {
var fmt = formatCompilerError(errLog, src, type);
} catch (e){
console.warn('Failed to format compiler error: ' + e);
throw new GLError(errLog, 'Error compiling shader:\n' + errLog)
}
throw new GLError(errLog, fmt.short, fmt.long)
}
return shader
}
proto.getShaderReference = function(type, src) {
var gl = this.gl
var shaders = this.shaders[(type === gl.FRAGMENT_SHADER)|0]
var shader = shaders[src]
if(!shader || !gl.isShader(shader.shader)) {
var shaderObj = compileShader(gl, type, src)
shader = shaders[src] = new ShaderReference(
SHADER_COUNTER++,
src,
type,
shaderObj,
[],
1,
this)
} else {
shader.count += 1
}
return shader
}
function linkProgram(gl, vshader, fshader, attribs, locations) {
var program = gl.createProgram()
gl.attachShader(program, vshader)
gl.attachShader(program, fshader)
for(var i=0; i<attribs.length; ++i) {
gl.bindAttribLocation(program, locations[i], attribs[i])
}
gl.linkProgram(program)
if(!gl.getProgramParameter(program, gl.LINK_STATUS)) {
var errLog = gl.getProgramInfoLog(program)
throw new GLError(errLog, 'Error linking program: ' + errLog)
}
return program
}
proto.getProgram = function(vref, fref, attribs, locations) {
var token = [vref.id, fref.id, attribs.join(':'), locations.join(':')].join('@')
var prog = this.programs[token]
if(!prog || !this.gl.isProgram(prog)) {
this.programs[token] = prog = linkProgram(
this.gl,
vref.shader,
fref.shader,
attribs,
locations)
vref.programs.push(token)
fref.programs.push(token)
}
return prog
}
function getCache(gl) {
var ctxCache = CACHE.get(gl)
if(!ctxCache) {
ctxCache = new ContextCache(gl)
CACHE.set(gl, ctxCache)
}
return ctxCache
}
function getShaderReference(gl, type, src) {
return getCache(gl).getShaderReference(type, src)
}
function createProgram(gl, vref, fref, attribs, locations) {
return getCache(gl).getProgram(vref, fref, attribs, locations)
}
},{"./GLError":108,"gl-format-compiler-error":87,"weakmap-shim":264}],114:[function(require,module,exports){
'use strict'
var createShader = require('gl-shader')
var vertSrc = "precision mediump float;\n#define GLSLIFY 1\n\nattribute vec3 position, color;\nattribute float weight;\n\nuniform mat4 model, view, projection;\nuniform vec3 coordinates[3];\nuniform vec4 colors[3];\nuniform vec2 screenShape;\nuniform float lineWidth;\n\nvarying vec4 fragColor;\n\nvoid main() {\n vec3 vertexPosition = mix(coordinates[0],\n mix(coordinates[2], coordinates[1], 0.5 * (position + 1.0)), abs(position));\n\n vec4 clipPos = projection * view * model * vec4(vertexPosition, 1.0);\n vec2 clipOffset = (projection * view * model * vec4(color, 0.0)).xy;\n vec2 delta = weight * clipOffset * screenShape;\n vec2 lineOffset = normalize(vec2(delta.y, -delta.x)) / screenShape;\n\n gl_Position = vec4(clipPos.xy + clipPos.w * 0.5 * lineWidth * lineOffset, clipPos.z, clipPos.w);\n fragColor = color.x * colors[0] + color.y * colors[1] + color.z * colors[2];\n}\n"
var fragSrc = "precision mediump float;\n#define GLSLIFY 1\n\nvarying vec4 fragColor;\n\nvoid main() {\n gl_FragColor = fragColor;\n}"
module.exports = function(gl) {
return createShader(gl, vertSrc, fragSrc, null, [
{name: 'position', type: 'vec3'},
{name: 'color', type: 'vec3'},
{name: 'weight', type: 'float'}
])
}
},{"gl-shader":107}],115:[function(require,module,exports){
'use strict'
var createBuffer = require('gl-buffer')
var createVAO = require('gl-vao')
var createShader = require('./shaders/index')
module.exports = createSpikes
var identity = [1,0,0,0,
0,1,0,0,
0,0,1,0,
0,0,0,1]
function AxisSpikes(gl, buffer, vao, shader) {
this.gl = gl
this.buffer = buffer
this.vao = vao
this.shader = shader
this.pixelRatio = 1
this.bounds = [[-1000,-1000,-1000], [1000,1000,1000]]
this.position = [0,0,0]
this.lineWidth = [2,2,2]
this.colors = [[0,0,0,1], [0,0,0,1], [0,0,0,1]]
this.enabled = [true,true,true]
this.drawSides = [true,true,true]
this.axes = null
}
var proto = AxisSpikes.prototype
var OUTER_FACE = [0,0,0]
var INNER_FACE = [0,0,0]
var SHAPE = [0,0]
proto.isTransparent = function() {
return false
}
proto.drawTransparent = function(camera) {}
proto.draw = function(camera) {
var gl = this.gl
var vao = this.vao
var shader = this.shader
vao.bind()
shader.bind()
var model = camera.model || identity
var view = camera.view || identity
var projection = camera.projection || identity
var axis
if(this.axes) {
axis = this.axes.lastCubeProps.axis
}
var outerFace = OUTER_FACE
var innerFace = INNER_FACE
for(var i=0; i<3; ++i) {
if(axis && axis[i] < 0) {
outerFace[i] = this.bounds[0][i]
innerFace[i] = this.bounds[1][i]
} else {
outerFace[i] = this.bounds[1][i]
innerFace[i] = this.bounds[0][i]
}
}
SHAPE[0] = gl.drawingBufferWidth
SHAPE[1] = gl.drawingBufferHeight
shader.uniforms.model = model
shader.uniforms.view = view
shader.uniforms.projection = projection
shader.uniforms.coordinates = [this.position, outerFace, innerFace]
shader.uniforms.colors = this.colors
shader.uniforms.screenShape = SHAPE
for(var i=0; i<3; ++i) {
shader.uniforms.lineWidth = this.lineWidth[i] * this.pixelRatio
if(this.enabled[i]) {
vao.draw(gl.TRIANGLES, 6, 6*i)
if(this.drawSides[i]) {
vao.draw(gl.TRIANGLES, 12, 18+12*i)
}
}
}
vao.unbind()
}
proto.update = function(options) {
if(!options) {
return
}
if("bounds" in options) {
this.bounds = options.bounds
}
if("position" in options) {
this.position = options.position
}
if("lineWidth" in options) {
this.lineWidth = options.lineWidth
}
if("colors" in options) {
this.colors = options.colors
}
if("enabled" in options) {
this.enabled = options.enabled
}
if("drawSides" in options) {
this.drawSides = options.drawSides
}
}
proto.dispose = function() {
this.vao.dispose()
this.buffer.dispose()
this.shader.dispose()
}
function createSpikes(gl, options) {
//Create buffers
var data = [ ]
function line(x,y,z,i,l,h) {
var row = [x,y,z, 0,0,0, 1]
row[i+3] = 1
row[i] = l
data.push.apply(data, row)
row[6] = -1
data.push.apply(data, row)
row[i] = h
data.push.apply(data, row)
data.push.apply(data, row)
row[6] = 1
data.push.apply(data, row)
row[i] = l
data.push.apply(data, row)
}
line(0,0,0, 0, 0, 1)
line(0,0,0, 1, 0, 1)
line(0,0,0, 2, 0, 1)
line(1,0,0, 1, -1,1)
line(1,0,0, 2, -1,1)
line(0,1,0, 0, -1,1)
line(0,1,0, 2, -1,1)
line(0,0,1, 0, -1,1)
line(0,0,1, 1, -1,1)
var buffer = createBuffer(gl, data)
var vao = createVAO(gl, [{
type: gl.FLOAT,
buffer: buffer,
size: 3,
offset: 0,
stride: 28
}, {
type: gl.FLOAT,
buffer: buffer,
size: 3,
offset: 12,
stride: 28
}, {
type: gl.FLOAT,
buffer: buffer,
size: 1,
offset: 24,
stride: 28
}])
//Create shader
var shader = createShader(gl)
shader.attributes.position.location = 0
shader.attributes.color.location = 1
shader.attributes.weight.location = 2
//Create spike object
var spikes = new AxisSpikes(gl, buffer, vao, shader)
//Set parameters
spikes.update(options)
//Return resulting object
return spikes
}
},{"./shaders/index":114,"gl-buffer":83,"gl-vao":120}],116:[function(require,module,exports){
'use strict'
var ndarray = require('ndarray')
var ops = require('ndarray-ops')
var pool = require('typedarray-pool')
module.exports = createTexture2D
var linearTypes = null
var filterTypes = null
var wrapTypes = null
function lazyInitLinearTypes(gl) {
linearTypes = [
gl.LINEAR,
gl.NEAREST_MIPMAP_LINEAR,
gl.LINEAR_MIPMAP_NEAREST,
gl.LINEAR_MIPMAP_NEAREST
]
filterTypes = [
gl.NEAREST,
gl.LINEAR,
gl.NEAREST_MIPMAP_NEAREST,
gl.NEAREST_MIPMAP_LINEAR,
gl.LINEAR_MIPMAP_NEAREST,
gl.LINEAR_MIPMAP_LINEAR
]
wrapTypes = [
gl.REPEAT,
gl.CLAMP_TO_EDGE,
gl.MIRRORED_REPEAT
]
}
function acceptTextureDOM (obj) {
return (
('undefined' != typeof HTMLCanvasElement && obj instanceof HTMLCanvasElement) ||
('undefined' != typeof HTMLImageElement && obj instanceof HTMLImageElement) ||
('undefined' != typeof HTMLVideoElement && obj instanceof HTMLVideoElement) ||
('undefined' != typeof ImageData && obj instanceof ImageData))
}
var convertFloatToUint8 = function(out, inp) {
ops.muls(out, inp, 255.0)
}
function reshapeTexture(tex, w, h) {
var gl = tex.gl
var maxSize = gl.getParameter(gl.MAX_TEXTURE_SIZE)
if(w < 0 || w > maxSize || h < 0 || h > maxSize) {
throw new Error('gl-texture2d: Invalid texture size')
}
tex._shape = [w, h]
tex.bind()
gl.texImage2D(gl.TEXTURE_2D, 0, tex.format, w, h, 0, tex.format, tex.type, null)
tex._mipLevels = [0]
return tex
}
function Texture2D(gl, handle, width, height, format, type) {
this.gl = gl
this.handle = handle
this.format = format
this.type = type
this._shape = [width, height]
this._mipLevels = [0]
this._magFilter = gl.NEAREST
this._minFilter = gl.NEAREST
this._wrapS = gl.CLAMP_TO_EDGE
this._wrapT = gl.CLAMP_TO_EDGE
this._anisoSamples = 1
var parent = this
var wrapVector = [this._wrapS, this._wrapT]
Object.defineProperties(wrapVector, [
{
get: function() {
return parent._wrapS
},
set: function(v) {
return parent.wrapS = v
}
},
{
get: function() {
return parent._wrapT
},
set: function(v) {
return parent.wrapT = v
}
}
])
this._wrapVector = wrapVector
var shapeVector = [this._shape[0], this._shape[1]]
Object.defineProperties(shapeVector, [
{
get: function() {
return parent._shape[0]
},
set: function(v) {
return parent.width = v
}
},
{
get: function() {
return parent._shape[1]
},
set: function(v) {
return parent.height = v
}
}
])
this._shapeVector = shapeVector
}
var proto = Texture2D.prototype
Object.defineProperties(proto, {
minFilter: {
get: function() {
return this._minFilter
},
set: function(v) {
this.bind()
var gl = this.gl
if(this.type === gl.FLOAT && linearTypes.indexOf(v) >= 0) {
if(!gl.getExtension('OES_texture_float_linear')) {
v = gl.NEAREST
}
}
if(filterTypes.indexOf(v) < 0) {
throw new Error('gl-texture2d: Unknown filter mode ' + v)
}
gl.texParameteri(gl.TEXTURE_2D, gl.TEXTURE_MIN_FILTER, v)
return this._minFilter = v
}
},
magFilter: {
get: function() {
return this._magFilter
},
set: function(v) {
this.bind()
var gl = this.gl
if(this.type === gl.FLOAT && linearTypes.indexOf(v) >= 0) {
if(!gl.getExtension('OES_texture_float_linear')) {
v = gl.NEAREST
}
}
if(filterTypes.indexOf(v) < 0) {
throw new Error('gl-texture2d: Unknown filter mode ' + v)
}
gl.texParameteri(gl.TEXTURE_2D, gl.TEXTURE_MAG_FILTER, v)
return this._magFilter = v
}
},
mipSamples: {
get: function() {
return this._anisoSamples
},
set: function(i) {
var psamples = this._anisoSamples
this._anisoSamples = Math.max(i, 1)|0
if(psamples !== this._anisoSamples) {
var ext = this.gl.getExtension('EXT_texture_filter_anisotropic')
if(ext) {
this.gl.texParameterf(this.gl.TEXTURE_2D, ext.TEXTURE_MAX_ANISOTROPY_EXT, this._anisoSamples)
}
}
return this._anisoSamples
}
},
wrapS: {
get: function() {
return this._wrapS
},
set: function(v) {
this.bind()
if(wrapTypes.indexOf(v) < 0) {
throw new Error('gl-texture2d: Unknown wrap mode ' + v)
}
this.gl.texParameteri(this.gl.TEXTURE_2D, this.gl.TEXTURE_WRAP_S, v)
return this._wrapS = v
}
},
wrapT: {
get: function() {
return this._wrapT
},
set: function(v) {
this.bind()
if(wrapTypes.indexOf(v) < 0) {
throw new Error('gl-texture2d: Unknown wrap mode ' + v)
}
this.gl.texParameteri(this.gl.TEXTURE_2D, this.gl.TEXTURE_WRAP_T, v)
return this._wrapT = v
}
},
wrap: {
get: function() {
return this._wrapVector
},
set: function(v) {
if(!Array.isArray(v)) {
v = [v,v]
}
if(v.length !== 2) {
throw new Error('gl-texture2d: Must specify wrap mode for rows and columns')
}
for(var i=0; i<2; ++i) {
if(wrapTypes.indexOf(v[i]) < 0) {
throw new Error('gl-texture2d: Unknown wrap mode ' + v)
}
}
this._wrapS = v[0]
this._wrapT = v[1]
var gl = this.gl
this.bind()
gl.texParameteri(gl.TEXTURE_2D, gl.TEXTURE_WRAP_S, this._wrapS)
gl.texParameteri(gl.TEXTURE_2D, gl.TEXTURE_WRAP_T, this._wrapT)
return v
}
},
shape: {
get: function() {
return this._shapeVector
},
set: function(x) {
if(!Array.isArray(x)) {
x = [x|0,x|0]
} else {
if(x.length !== 2) {
throw new Error('gl-texture2d: Invalid texture shape')
}
}
reshapeTexture(this, x[0]|0, x[1]|0)
return [x[0]|0, x[1]|0]
}
},
width: {
get: function() {
return this._shape[0]
},
set: function(w) {
w = w|0
reshapeTexture(this, w, this._shape[1])
return w
}
},
height: {
get: function() {
return this._shape[1]
},
set: function(h) {
h = h|0
reshapeTexture(this, this._shape[0], h)
return h
}
}
})
proto.bind = function(unit) {
var gl = this.gl
if(unit !== undefined) {
gl.activeTexture(gl.TEXTURE0 + (unit|0))
}
gl.bindTexture(gl.TEXTURE_2D, this.handle)
if(unit !== undefined) {
return (unit|0)
}
return gl.getParameter(gl.ACTIVE_TEXTURE) - gl.TEXTURE0
}
proto.dispose = function() {
this.gl.deleteTexture(this.handle)
}
proto.generateMipmap = function() {
this.bind()
this.gl.generateMipmap(this.gl.TEXTURE_2D)
//Update mip levels
var l = Math.min(this._shape[0], this._shape[1])
for(var i=0; l>0; ++i, l>>>=1) {
if(this._mipLevels.indexOf(i) < 0) {
this._mipLevels.push(i)
}
}
}
proto.setPixels = function(data, x_off, y_off, mip_level) {
var gl = this.gl
this.bind()
if(Array.isArray(x_off)) {
mip_level = y_off
y_off = x_off[1]|0
x_off = x_off[0]|0
} else {
x_off = x_off || 0
y_off = y_off || 0
}
mip_level = mip_level || 0
var directData = acceptTextureDOM(data) ? data : data.raw
if(directData) {
var needsMip = this._mipLevels.indexOf(mip_level) < 0
if(needsMip) {
gl.texImage2D(gl.TEXTURE_2D, 0, this.format, this.format, this.type, directData)
this._mipLevels.push(mip_level)
} else {
gl.texSubImage2D(gl.TEXTURE_2D, mip_level, x_off, y_off, this.format, this.type, directData)
}
} else if(data.shape && data.stride && data.data) {
if(data.shape.length < 2 ||
x_off + data.shape[1] > this._shape[1]>>>mip_level ||
y_off + data.shape[0] > this._shape[0]>>>mip_level ||
x_off < 0 ||
y_off < 0) {
throw new Error('gl-texture2d: Texture dimensions are out of bounds')
}
texSubImageArray(gl, x_off, y_off, mip_level, this.format, this.type, this._mipLevels, data)
} else {
throw new Error('gl-texture2d: Unsupported data type')
}
}
function isPacked(shape, stride) {
if(shape.length === 3) {
return (stride[2] === 1) &&
(stride[1] === shape[0]*shape[2]) &&
(stride[0] === shape[2])
}
return (stride[0] === 1) &&
(stride[1] === shape[0])
}
function texSubImageArray(gl, x_off, y_off, mip_level, cformat, ctype, mipLevels, array) {
var dtype = array.dtype
var shape = array.shape.slice()
if(shape.length < 2 || shape.length > 3) {
throw new Error('gl-texture2d: Invalid ndarray, must be 2d or 3d')
}
var type = 0, format = 0
var packed = isPacked(shape, array.stride.slice())
if(dtype === 'float32') {
type = gl.FLOAT
} else if(dtype === 'float64') {
type = gl.FLOAT
packed = false
dtype = 'float32'
} else if(dtype === 'uint8') {
type = gl.UNSIGNED_BYTE
} else {
type = gl.UNSIGNED_BYTE
packed = false
dtype = 'uint8'
}
var channels = 1
if(shape.length === 2) {
format = gl.LUMINANCE
shape = [shape[0], shape[1], 1]
array = ndarray(array.data, shape, [array.stride[0], array.stride[1], 1], array.offset)
} else if(shape.length === 3) {
if(shape[2] === 1) {
format = gl.ALPHA
} else if(shape[2] === 2) {
format = gl.LUMINANCE_ALPHA
} else if(shape[2] === 3) {
format = gl.RGB
} else if(shape[2] === 4) {
format = gl.RGBA
} else {
throw new Error('gl-texture2d: Invalid shape for pixel coords')
}
channels = shape[2]
} else {
throw new Error('gl-texture2d: Invalid shape for texture')
}
//For 1-channel textures allow conversion between formats
if((format === gl.LUMINANCE || format === gl.ALPHA) &&
(cformat === gl.LUMINANCE || cformat === gl.ALPHA)) {
format = cformat
}
if(format !== cformat) {
throw new Error('gl-texture2d: Incompatible texture format for setPixels')
}
var size = array.size
var needsMip = mipLevels.indexOf(mip_level) < 0
if(needsMip) {
mipLevels.push(mip_level)
}
if(type === ctype && packed) {
//Array data types are compatible, can directly copy into texture
if(array.offset === 0 && array.data.length === size) {
if(needsMip) {
gl.texImage2D(gl.TEXTURE_2D, mip_level, cformat, shape[0], shape[1], 0, cformat, ctype, array.data)
} else {
gl.texSubImage2D(gl.TEXTURE_2D, mip_level, x_off, y_off, shape[0], shape[1], cformat, ctype, array.data)
}
} else {
if(needsMip) {
gl.texImage2D(gl.TEXTURE_2D, mip_level, cformat, shape[0], shape[1], 0, cformat, ctype, array.data.subarray(array.offset, array.offset+size))
} else {
gl.texSubImage2D(gl.TEXTURE_2D, mip_level, x_off, y_off, shape[0], shape[1], cformat, ctype, array.data.subarray(array.offset, array.offset+size))
}
}
} else {
//Need to do type conversion to pack data into buffer
var pack_buffer
if(ctype === gl.FLOAT) {
pack_buffer = pool.mallocFloat32(size)
} else {
pack_buffer = pool.mallocUint8(size)
}
var pack_view = ndarray(pack_buffer, shape, [shape[2], shape[2]*shape[0], 1])
if(type === gl.FLOAT && ctype === gl.UNSIGNED_BYTE) {
convertFloatToUint8(pack_view, array)
} else {
ops.assign(pack_view, array)
}
if(needsMip) {
gl.texImage2D(gl.TEXTURE_2D, mip_level, cformat, shape[0], shape[1], 0, cformat, ctype, pack_buffer.subarray(0, size))
} else {
gl.texSubImage2D(gl.TEXTURE_2D, mip_level, x_off, y_off, shape[0], shape[1], cformat, ctype, pack_buffer.subarray(0, size))
}
if(ctype === gl.FLOAT) {
pool.freeFloat32(pack_buffer)
} else {
pool.freeUint8(pack_buffer)
}
}
}
function initTexture(gl) {
var tex = gl.createTexture()
gl.bindTexture(gl.TEXTURE_2D, tex)
gl.texParameteri(gl.TEXTURE_2D, gl.TEXTURE_MIN_FILTER, gl.NEAREST)
gl.texParameteri(gl.TEXTURE_2D, gl.TEXTURE_MAG_FILTER, gl.NEAREST)
gl.texParameteri(gl.TEXTURE_2D, gl.TEXTURE_WRAP_S, gl.CLAMP_TO_EDGE)
gl.texParameteri(gl.TEXTURE_2D, gl.TEXTURE_WRAP_T, gl.CLAMP_TO_EDGE)
return tex
}
function createTextureShape(gl, width, height, format, type) {
var maxTextureSize = gl.getParameter(gl.MAX_TEXTURE_SIZE)
if(width < 0 || width > maxTextureSize || height < 0 || height > maxTextureSize) {
throw new Error('gl-texture2d: Invalid texture shape')
}
if(type === gl.FLOAT && !gl.getExtension('OES_texture_float')) {
throw new Error('gl-texture2d: Floating point textures not supported on this platform')
}
var tex = initTexture(gl)
gl.texImage2D(gl.TEXTURE_2D, 0, format, width, height, 0, format, type, null)
return new Texture2D(gl, tex, width, height, format, type)
}
function createTextureDOM(gl, directData, width, height, format, type) {
var tex = initTexture(gl)
gl.texImage2D(gl.TEXTURE_2D, 0, format, format, type, directData)
return new Texture2D(gl, tex, width, height, format, type)
}
//Creates a texture from an ndarray
function createTextureArray(gl, array) {
var dtype = array.dtype
var shape = array.shape.slice()
var maxSize = gl.getParameter(gl.MAX_TEXTURE_SIZE)
if(shape[0] < 0 || shape[0] > maxSize || shape[1] < 0 || shape[1] > maxSize) {
throw new Error('gl-texture2d: Invalid texture size')
}
var packed = isPacked(shape, array.stride.slice())
var type = 0
if(dtype === 'float32') {
type = gl.FLOAT
} else if(dtype === 'float64') {
type = gl.FLOAT
packed = false
dtype = 'float32'
} else if(dtype === 'uint8') {
type = gl.UNSIGNED_BYTE
} else {
type = gl.UNSIGNED_BYTE
packed = false
dtype = 'uint8'
}
var format = 0
if(shape.length === 2) {
format = gl.LUMINANCE
shape = [shape[0], shape[1], 1]
array = ndarray(array.data, shape, [array.stride[0], array.stride[1], 1], array.offset)
} else if(shape.length === 3) {
if(shape[2] === 1) {
format = gl.ALPHA
} else if(shape[2] === 2) {
format = gl.LUMINANCE_ALPHA
} else if(shape[2] === 3) {
format = gl.RGB
} else if(shape[2] === 4) {
format = gl.RGBA
} else {
throw new Error('gl-texture2d: Invalid shape for pixel coords')
}
} else {
throw new Error('gl-texture2d: Invalid shape for texture')
}
if(type === gl.FLOAT && !gl.getExtension('OES_texture_float')) {
type = gl.UNSIGNED_BYTE
packed = false
}
var buffer, buf_store
var size = array.size
if(!packed) {
var stride = [shape[2], shape[2]*shape[0], 1]
buf_store = pool.malloc(size, dtype)
var buf_array = ndarray(buf_store, shape, stride, 0)
if((dtype === 'float32' || dtype === 'float64') && type === gl.UNSIGNED_BYTE) {
convertFloatToUint8(buf_array, array)
} else {
ops.assign(buf_array, array)
}
buffer = buf_store.subarray(0, size)
} else if (array.offset === 0 && array.data.length === size) {
buffer = array.data
} else {
buffer = array.data.subarray(array.offset, array.offset + size)
}
var tex = initTexture(gl)
gl.texImage2D(gl.TEXTURE_2D, 0, format, shape[0], shape[1], 0, format, type, buffer)
if(!packed) {
pool.free(buf_store)
}
return new Texture2D(gl, tex, shape[0], shape[1], format, type)
}
function createTexture2D(gl) {
if(arguments.length <= 1) {
throw new Error('gl-texture2d: Missing arguments for texture2d constructor')
}
if(!linearTypes) {
lazyInitLinearTypes(gl)
}
if(typeof arguments[1] === 'number') {
return createTextureShape(gl, arguments[1], arguments[2], arguments[3]||gl.RGBA, arguments[4]||gl.UNSIGNED_BYTE)
}
if(Array.isArray(arguments[1])) {
return createTextureShape(gl, arguments[1][0]|0, arguments[1][1]|0, arguments[2]||gl.RGBA, arguments[3]||gl.UNSIGNED_BYTE)
}
if(typeof arguments[1] === 'object') {
var obj = arguments[1]
var directData = acceptTextureDOM(obj) ? obj : obj.raw
if (directData) {
return createTextureDOM(gl, directData, obj.width|0, obj.height|0, arguments[2]||gl.RGBA, arguments[3]||gl.UNSIGNED_BYTE)
} else if(obj.shape && obj.data && obj.stride) {
return createTextureArray(gl, obj)
}
}
throw new Error('gl-texture2d: Invalid arguments for texture2d constructor')
}
},{"ndarray":208,"ndarray-ops":205,"typedarray-pool":257}],117:[function(require,module,exports){
"use strict"
function doBind(gl, elements, attributes) {
if(elements) {
elements.bind()
} else {
gl.bindBuffer(gl.ELEMENT_ARRAY_BUFFER, null)
}
var nattribs = gl.getParameter(gl.MAX_VERTEX_ATTRIBS)|0
if(attributes) {
if(attributes.length > nattribs) {
throw new Error("gl-vao: Too many vertex attributes")
}
for(var i=0; i<attributes.length; ++i) {
var attrib = attributes[i]
if(attrib.buffer) {
var buffer = attrib.buffer
var size = attrib.size || 4
var type = attrib.type || gl.FLOAT
var normalized = !!attrib.normalized
var stride = attrib.stride || 0
var offset = attrib.offset || 0
buffer.bind()
gl.enableVertexAttribArray(i)
gl.vertexAttribPointer(i, size, type, normalized, stride, offset)
} else {
if(typeof attrib === "number") {
gl.vertexAttrib1f(i, attrib)
} else if(attrib.length === 1) {
gl.vertexAttrib1f(i, attrib[0])
} else if(attrib.length === 2) {
gl.vertexAttrib2f(i, attrib[0], attrib[1])
} else if(attrib.length === 3) {
gl.vertexAttrib3f(i, attrib[0], attrib[1], attrib[2])
} else if(attrib.length === 4) {
gl.vertexAttrib4f(i, attrib[0], attrib[1], attrib[2], attrib[3])
} else {
throw new Error("gl-vao: Invalid vertex attribute")
}
gl.disableVertexAttribArray(i)
}
}
for(; i<nattribs; ++i) {
gl.disableVertexAttribArray(i)
}
} else {
gl.bindBuffer(gl.ARRAY_BUFFER, null)
for(var i=0; i<nattribs; ++i) {
gl.disableVertexAttribArray(i)
}
}
}
module.exports = doBind
},{}],118:[function(require,module,exports){
"use strict"
var bindAttribs = require("./do-bind.js")
function VAOEmulated(gl) {
this.gl = gl
this._elements = null
this._attributes = null
this._elementsType = gl.UNSIGNED_SHORT
}
VAOEmulated.prototype.bind = function() {
bindAttribs(this.gl, this._elements, this._attributes)
}
VAOEmulated.prototype.update = function(attributes, elements, elementsType) {
this._elements = elements
this._attributes = attributes
this._elementsType = elementsType || this.gl.UNSIGNED_SHORT
}
VAOEmulated.prototype.dispose = function() { }
VAOEmulated.prototype.unbind = function() { }
VAOEmulated.prototype.draw = function(mode, count, offset) {
offset = offset || 0
var gl = this.gl
if(this._elements) {
gl.drawElements(mode, count, this._elementsType, offset)
} else {
gl.drawArrays(mode, offset, count)
}
}
function createVAOEmulated(gl) {
return new VAOEmulated(gl)
}
module.exports = createVAOEmulated
},{"./do-bind.js":117}],119:[function(require,module,exports){
"use strict"
var bindAttribs = require("./do-bind.js")
function VertexAttribute(location, dimension, a, b, c, d) {
this.location = location
this.dimension = dimension
this.a = a
this.b = b
this.c = c
this.d = d
}
VertexAttribute.prototype.bind = function(gl) {
switch(this.dimension) {
case 1:
gl.vertexAttrib1f(this.location, this.a)
break
case 2:
gl.vertexAttrib2f(this.location, this.a, this.b)
break
case 3:
gl.vertexAttrib3f(this.location, this.a, this.b, this.c)
break
case 4:
gl.vertexAttrib4f(this.location, this.a, this.b, this.c, this.d)
break
}
}
function VAONative(gl, ext, handle) {
this.gl = gl
this._ext = ext
this.handle = handle
this._attribs = []
this._useElements = false
this._elementsType = gl.UNSIGNED_SHORT
}
VAONative.prototype.bind = function() {
this._ext.bindVertexArrayOES(this.handle)
for(var i=0; i<this._attribs.length; ++i) {
this._attribs[i].bind(this.gl)
}
}
VAONative.prototype.unbind = function() {
this._ext.bindVertexArrayOES(null)
}
VAONative.prototype.dispose = function() {
this._ext.deleteVertexArrayOES(this.handle)
}
VAONative.prototype.update = function(attributes, elements, elementsType) {
this.bind()
bindAttribs(this.gl, elements, attributes)
this.unbind()
this._attribs.length = 0
if(attributes)
for(var i=0; i<attributes.length; ++i) {
var a = attributes[i]
if(typeof a === "number") {
this._attribs.push(new VertexAttribute(i, 1, a))
} else if(Array.isArray(a)) {
this._attribs.push(new VertexAttribute(i, a.length, a[0], a[1], a[2], a[3]))
}
}
this._useElements = !!elements
this._elementsType = elementsType || this.gl.UNSIGNED_SHORT
}
VAONative.prototype.draw = function(mode, count, offset) {
offset = offset || 0
var gl = this.gl
if(this._useElements) {
gl.drawElements(mode, count, this._elementsType, offset)
} else {
gl.drawArrays(mode, offset, count)
}
}
function createVAONative(gl, ext) {
return new VAONative(gl, ext, ext.createVertexArrayOES())
}
module.exports = createVAONative
},{"./do-bind.js":117}],120:[function(require,module,exports){
"use strict"
var createVAONative = require("./lib/vao-native.js")
var createVAOEmulated = require("./lib/vao-emulated.js")
function ExtensionShim (gl) {
this.bindVertexArrayOES = gl.bindVertexArray.bind(gl)
this.createVertexArrayOES = gl.createVertexArray.bind(gl)
this.deleteVertexArrayOES = gl.deleteVertexArray.bind(gl)
}
function createVAO(gl, attributes, elements, elementsType) {
var ext = gl.createVertexArray
? new ExtensionShim(gl)
: gl.getExtension('OES_vertex_array_object')
var vao
if(ext) {
vao = createVAONative(gl, ext)
} else {
vao = createVAOEmulated(gl)
}
vao.update(attributes, elements, elementsType)
return vao
}
module.exports = createVAO
},{"./lib/vao-emulated.js":118,"./lib/vao-native.js":119}],121:[function(require,module,exports){
module.exports = add;
/**
* Adds two vec3's
*
* @param {vec3} out the receiving vector
* @param {vec3} a the first operand
* @param {vec3} b the second operand
* @returns {vec3} out
*/
function add(out, a, b) {
out[0] = a[0] + b[0]
out[1] = a[1] + b[1]
out[2] = a[2] + b[2]
return out
}
},{}],122:[function(require,module,exports){
module.exports = angle
var fromValues = require('./fromValues')
var normalize = require('./normalize')
var dot = require('./dot')
/**
* Get the angle between two 3D vectors
* @param {vec3} a The first operand
* @param {vec3} b The second operand
* @returns {Number} The angle in radians
*/
function angle(a, b) {
var tempA = fromValues(a[0], a[1], a[2])
var tempB = fromValues(b[0], b[1], b[2])
normalize(tempA, tempA)
normalize(tempB, tempB)
var cosine = dot(tempA, tempB)
if(cosine > 1.0){
return 0
} else {
return Math.acos(cosine)
}
}
},{"./dot":129,"./fromValues":131,"./normalize":140}],123:[function(require,module,exports){
module.exports = clone;
/**
* Creates a new vec3 initialized with values from an existing vector
*
* @param {vec3} a vector to clone
* @returns {vec3} a new 3D vector
*/
function clone(a) {
var out = new Float32Array(3)
out[0] = a[0]
out[1] = a[1]
out[2] = a[2]
return out
}
},{}],124:[function(require,module,exports){
module.exports = copy;
/**
* Copy the values from one vec3 to another
*
* @param {vec3} out the receiving vector
* @param {vec3} a the source vector
* @returns {vec3} out
*/
function copy(out, a) {
out[0] = a[0]
out[1] = a[1]
out[2] = a[2]
return out
}
},{}],125:[function(require,module,exports){
module.exports = create;
/**
* Creates a new, empty vec3
*
* @returns {vec3} a new 3D vector
*/
function create() {
var out = new Float32Array(3)
out[0] = 0
out[1] = 0
out[2] = 0
return out
}
},{}],126:[function(require,module,exports){
module.exports = cross;
/**
* Computes the cross product of two vec3's
*
* @param {vec3} out the receiving vector
* @param {vec3} a the first operand
* @param {vec3} b the second operand
* @returns {vec3} out
*/
function cross(out, a, b) {
var ax = a[0], ay = a[1], az = a[2],
bx = b[0], by = b[1], bz = b[2]
out[0] = ay * bz - az * by
out[1] = az * bx - ax * bz
out[2] = ax * by - ay * bx
return out
}
},{}],127:[function(require,module,exports){
module.exports = distance;
/**
* Calculates the euclidian distance between two vec3's
*
* @param {vec3} a the first operand
* @param {vec3} b the second operand
* @returns {Number} distance between a and b
*/
function distance(a, b) {
var x = b[0] - a[0],
y = b[1] - a[1],
z = b[2] - a[2]
return Math.sqrt(x*x + y*y + z*z)
}
},{}],128:[function(require,module,exports){
module.exports = divide;
/**
* Divides two vec3's
*
* @param {vec3} out the receiving vector
* @param {vec3} a the first operand
* @param {vec3} b the second operand
* @returns {vec3} out
*/
function divide(out, a, b) {
out[0] = a[0] / b[0]
out[1] = a[1] / b[1]
out[2] = a[2] / b[2]
return out
}
},{}],129:[function(require,module,exports){
module.exports = dot;
/**
* Calculates the dot product of two vec3's
*
* @param {vec3} a the first operand
* @param {vec3} b the second operand
* @returns {Number} dot product of a and b
*/
function dot(a, b) {
return a[0] * b[0] + a[1] * b[1] + a[2] * b[2]
}
},{}],130:[function(require,module,exports){
module.exports = forEach;
var vec = require('./create')()
/**
* Perform some operation over an array of vec3s.
*
* @param {Array} a the array of vectors to iterate over
* @param {Number} stride Number of elements between the start of each vec3. If 0 assumes tightly packed
* @param {Number} offset Number of elements to skip at the beginning of the array
* @param {Number} count Number of vec3s to iterate over. If 0 iterates over entire array
* @param {Function} fn Function to call for each vector in the array
* @param {Object} [arg] additional argument to pass to fn
* @returns {Array} a
* @function
*/
function forEach(a, stride, offset, count, fn, arg) {
var i, l
if(!stride) {
stride = 3
}
if(!offset) {
offset = 0
}
if(count) {
l = Math.min((count * stride) + offset, a.length)
} else {
l = a.length
}
for(i = offset; i < l; i += stride) {
vec[0] = a[i]
vec[1] = a[i+1]
vec[2] = a[i+2]
fn(vec, vec, arg)
a[i] = vec[0]
a[i+1] = vec[1]
a[i+2] = vec[2]
}
return a
}
},{"./create":125}],131:[function(require,module,exports){
module.exports = fromValues;
/**
* Creates a new vec3 initialized with the given values
*
* @param {Number} x X component
* @param {Number} y Y component
* @param {Number} z Z component
* @returns {vec3} a new 3D vector
*/
function fromValues(x, y, z) {
var out = new Float32Array(3)
out[0] = x
out[1] = y
out[2] = z
return out
}
},{}],132:[function(require,module,exports){
module.exports = {
create: require('./create')
, clone: require('./clone')
, angle: require('./angle')
, fromValues: require('./fromValues')
, copy: require('./copy')
, set: require('./set')
, add: require('./add')
, subtract: require('./subtract')
, multiply: require('./multiply')
, divide: require('./divide')
, min: require('./min')
, max: require('./max')
, scale: require('./scale')
, scaleAndAdd: require('./scaleAndAdd')
, distance: require('./distance')
, squaredDistance: require('./squaredDistance')
, length: require('./length')
, squaredLength: require('./squaredLength')
, negate: require('./negate')
, inverse: require('./inverse')
, normalize: require('./normalize')
, dot: require('./dot')
, cross: require('./cross')
, lerp: require('./lerp')
, random: require('./random')
, transformMat4: require('./transformMat4')
, transformMat3: require('./transformMat3')
, transformQuat: require('./transformQuat')
, rotateX: require('./rotateX')
, rotateY: require('./rotateY')
, rotateZ: require('./rotateZ')
, forEach: require('./forEach')
}
},{"./add":121,"./angle":122,"./clone":123,"./copy":124,"./create":125,"./cross":126,"./distance":127,"./divide":128,"./dot":129,"./forEach":130,"./fromValues":131,"./inverse":133,"./length":134,"./lerp":135,"./max":136,"./min":137,"./multiply":138,"./negate":139,"./normalize":140,"./random":141,"./rotateX":142,"./rotateY":143,"./rotateZ":144,"./scale":145,"./scaleAndAdd":146,"./set":147,"./squaredDistance":148,"./squaredLength":149,"./subtract":150,"./transformMat3":151,"./transformMat4":152,"./transformQuat":153}],133:[function(require,module,exports){
module.exports = inverse;
/**
* Returns the inverse of the components of a vec3
*
* @param {vec3} out the receiving vector
* @param {vec3} a vector to invert
* @returns {vec3} out
*/
function inverse(out, a) {
out[0] = 1.0 / a[0]
out[1] = 1.0 / a[1]
out[2] = 1.0 / a[2]
return out
}
},{}],134:[function(require,module,exports){
module.exports = length;
/**
* Calculates the length of a vec3
*
* @param {vec3} a vector to calculate length of
* @returns {Number} length of a
*/
function length(a) {
var x = a[0],
y = a[1],
z = a[2]
return Math.sqrt(x*x + y*y + z*z)
}
},{}],135:[function(require,module,exports){
module.exports = lerp;
/**
* Performs a linear interpolation between two vec3's
*
* @param {vec3} out the receiving vector
* @param {vec3} a the first operand
* @param {vec3} b the second operand
* @param {Number} t interpolation amount between the two inputs
* @returns {vec3} out
*/
function lerp(out, a, b, t) {
var ax = a[0],
ay = a[1],
az = a[2]
out[0] = ax + t * (b[0] - ax)
out[1] = ay + t * (b[1] - ay)
out[2] = az + t * (b[2] - az)
return out
}
},{}],136:[function(require,module,exports){
module.exports = max;
/**
* Returns the maximum of two vec3's
*
* @param {vec3} out the receiving vector
* @param {vec3} a the first operand
* @param {vec3} b the second operand
* @returns {vec3} out
*/
function max(out, a, b) {
out[0] = Math.max(a[0], b[0])
out[1] = Math.max(a[1], b[1])
out[2] = Math.max(a[2], b[2])
return out
}
},{}],137:[function(require,module,exports){
module.exports = min;
/**
* Returns the minimum of two vec3's
*
* @param {vec3} out the receiving vector
* @param {vec3} a the first operand
* @param {vec3} b the second operand
* @returns {vec3} out
*/
function min(out, a, b) {
out[0] = Math.min(a[0], b[0])
out[1] = Math.min(a[1], b[1])
out[2] = Math.min(a[2], b[2])
return out
}
},{}],138:[function(require,module,exports){
module.exports = multiply;
/**
* Multiplies two vec3's
*
* @param {vec3} out the receiving vector
* @param {vec3} a the first operand
* @param {vec3} b the second operand
* @returns {vec3} out
*/
function multiply(out, a, b) {
out[0] = a[0] * b[0]
out[1] = a[1] * b[1]
out[2] = a[2] * b[2]
return out
}
},{}],139:[function(require,module,exports){
module.exports = negate;
/**
* Negates the components of a vec3
*
* @param {vec3} out the receiving vector
* @param {vec3} a vector to negate
* @returns {vec3} out
*/
function negate(out, a) {
out[0] = -a[0]
out[1] = -a[1]
out[2] = -a[2]
return out
}
},{}],140:[function(require,module,exports){
module.exports = normalize;
/**
* Normalize a vec3
*
* @param {vec3} out the receiving vector
* @param {vec3} a vector to normalize
* @returns {vec3} out
*/
function normalize(out, a) {
var x = a[0],
y = a[1],
z = a[2]
var len = x*x + y*y + z*z
if (len > 0) {
//TODO: evaluate use of glm_invsqrt here?
len = 1 / Math.sqrt(len)
out[0] = a[0] * len
out[1] = a[1] * len
out[2] = a[2] * len
}
return out
}
},{}],141:[function(require,module,exports){
module.exports = random;
/**
* Generates a random vector with the given scale
*
* @param {vec3} out the receiving vector
* @param {Number} [scale] Length of the resulting vector. If ommitted, a unit vector will be returned
* @returns {vec3} out
*/
function random(out, scale) {
scale = scale || 1.0
var r = Math.random() * 2.0 * Math.PI
var z = (Math.random() * 2.0) - 1.0
var zScale = Math.sqrt(1.0-z*z) * scale
out[0] = Math.cos(r) * zScale
out[1] = Math.sin(r) * zScale
out[2] = z * scale
return out
}
},{}],142:[function(require,module,exports){
module.exports = rotateX;
/**
* Rotate a 3D vector around the x-axis
* @param {vec3} out The receiving vec3
* @param {vec3} a The vec3 point to rotate
* @param {vec3} b The origin of the rotation
* @param {Number} c The angle of rotation
* @returns {vec3} out
*/
function rotateX(out, a, b, c){
var p = [], r=[]
//Translate point to the origin
p[0] = a[0] - b[0]
p[1] = a[1] - b[1]
p[2] = a[2] - b[2]
//perform rotation
r[0] = p[0]
r[1] = p[1]*Math.cos(c) - p[2]*Math.sin(c)
r[2] = p[1]*Math.sin(c) + p[2]*Math.cos(c)
//translate to correct position
out[0] = r[0] + b[0]
out[1] = r[1] + b[1]
out[2] = r[2] + b[2]
return out
}
},{}],143:[function(require,module,exports){
module.exports = rotateY;
/**
* Rotate a 3D vector around the y-axis
* @param {vec3} out The receiving vec3
* @param {vec3} a The vec3 point to rotate
* @param {vec3} b The origin of the rotation
* @param {Number} c The angle of rotation
* @returns {vec3} out
*/
function rotateY(out, a, b, c){
var p = [], r=[]
//Translate point to the origin
p[0] = a[0] - b[0]
p[1] = a[1] - b[1]
p[2] = a[2] - b[2]
//perform rotation
r[0] = p[2]*Math.sin(c) + p[0]*Math.cos(c)
r[1] = p[1]
r[2] = p[2]*Math.cos(c) - p[0]*Math.sin(c)
//translate to correct position
out[0] = r[0] + b[0]
out[1] = r[1] + b[1]
out[2] = r[2] + b[2]
return out
}
},{}],144:[function(require,module,exports){
module.exports = rotateZ;
/**
* Rotate a 3D vector around the z-axis
* @param {vec3} out The receiving vec3
* @param {vec3} a The vec3 point to rotate
* @param {vec3} b The origin of the rotation
* @param {Number} c The angle of rotation
* @returns {vec3} out
*/
function rotateZ(out, a, b, c){
var p = [], r=[]
//Translate point to the origin
p[0] = a[0] - b[0]
p[1] = a[1] - b[1]
p[2] = a[2] - b[2]
//perform rotation
r[0] = p[0]*Math.cos(c) - p[1]*Math.sin(c)
r[1] = p[0]*Math.sin(c) + p[1]*Math.cos(c)
r[2] = p[2]
//translate to correct position
out[0] = r[0] + b[0]
out[1] = r[1] + b[1]
out[2] = r[2] + b[2]
return out
}
},{}],145:[function(require,module,exports){
module.exports = scale;
/**
* Scales a vec3 by a scalar number
*
* @param {vec3} out the receiving vector
* @param {vec3} a the vector to scale
* @param {Number} b amount to scale the vector by
* @returns {vec3} out
*/
function scale(out, a, b) {
out[0] = a[0] * b
out[1] = a[1] * b
out[2] = a[2] * b
return out
}
},{}],146:[function(require,module,exports){
module.exports = scaleAndAdd;
/**
* Adds two vec3's after scaling the second operand by a scalar value
*
* @param {vec3} out the receiving vector
* @param {vec3} a the first operand
* @param {vec3} b the second operand
* @param {Number} scale the amount to scale b by before adding
* @returns {vec3} out
*/
function scaleAndAdd(out, a, b, scale) {
out[0] = a[0] + (b[0] * scale)
out[1] = a[1] + (b[1] * scale)
out[2] = a[2] + (b[2] * scale)
return out
}
},{}],147:[function(require,module,exports){
module.exports = set;
/**
* Set the components of a vec3 to the given values
*
* @param {vec3} out the receiving vector
* @param {Number} x X component
* @param {Number} y Y component
* @param {Number} z Z component
* @returns {vec3} out
*/
function set(out, x, y, z) {
out[0] = x
out[1] = y
out[2] = z
return out
}
},{}],148:[function(require,module,exports){
module.exports = squaredDistance;
/**
* Calculates the squared euclidian distance between two vec3's
*
* @param {vec3} a the first operand
* @param {vec3} b the second operand
* @returns {Number} squared distance between a and b
*/
function squaredDistance(a, b) {
var x = b[0] - a[0],
y = b[1] - a[1],
z = b[2] - a[2]
return x*x + y*y + z*z
}
},{}],149:[function(require,module,exports){
module.exports = squaredLength;
/**
* Calculates the squared length of a vec3
*
* @param {vec3} a vector to calculate squared length of
* @returns {Number} squared length of a
*/
function squaredLength(a) {
var x = a[0],
y = a[1],
z = a[2]
return x*x + y*y + z*z
}
},{}],150:[function(require,module,exports){
module.exports = subtract;
/**
* Subtracts vector b from vector a
*
* @param {vec3} out the receiving vector
* @param {vec3} a the first operand
* @param {vec3} b the second operand
* @returns {vec3} out
*/
function subtract(out, a, b) {
out[0] = a[0] - b[0]
out[1] = a[1] - b[1]
out[2] = a[2] - b[2]
return out
}
},{}],151:[function(require,module,exports){
module.exports = transformMat3;
/**
* Transforms the vec3 with a mat3.
*
* @param {vec3} out the receiving vector
* @param {vec3} a the vector to transform
* @param {mat4} m the 3x3 matrix to transform with
* @returns {vec3} out
*/
function transformMat3(out, a, m) {
var x = a[0], y = a[1], z = a[2]
out[0] = x * m[0] + y * m[3] + z * m[6]
out[1] = x * m[1] + y * m[4] + z * m[7]
out[2] = x * m[2] + y * m[5] + z * m[8]
return out
}
},{}],152:[function(require,module,exports){
module.exports = transformMat4;
/**
* Transforms the vec3 with a mat4.
* 4th vector component is implicitly '1'
*
* @param {vec3} out the receiving vector
* @param {vec3} a the vector to transform
* @param {mat4} m matrix to transform with
* @returns {vec3} out
*/
function transformMat4(out, a, m) {
var x = a[0], y = a[1], z = a[2],
w = m[3] * x + m[7] * y + m[11] * z + m[15]
w = w || 1.0
out[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w
out[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w
out[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w
return out
}
},{}],153:[function(require,module,exports){
module.exports = transformQuat;
/**
* Transforms the vec3 with a quat
*
* @param {vec3} out the receiving vector
* @param {vec3} a the vector to transform
* @param {quat} q quaternion to transform with
* @returns {vec3} out
*/
function transformQuat(out, a, q) {
// benchmarks: http://jsperf.com/quaternion-transform-vec3-implementations
var x = a[0], y = a[1], z = a[2],
qx = q[0], qy = q[1], qz = q[2], qw = q[3],
// calculate quat * vec
ix = qw * x + qy * z - qz * y,
iy = qw * y + qz * x - qx * z,
iz = qw * z + qx * y - qy * x,
iw = -qx * x - qy * y - qz * z
// calculate result * inverse quat
out[0] = ix * qw + iw * -qx + iy * -qz - iz * -qy
out[1] = iy * qw + iw * -qy + iz * -qx - ix * -qz
out[2] = iz * qw + iw * -qz + ix * -qy - iy * -qx
return out
}
},{}],154:[function(require,module,exports){
module.exports = add
/**
* Adds two vec4's
*
* @param {vec4} out the receiving vector
* @param {vec4} a the first operand
* @param {vec4} b the second operand
* @returns {vec4} out
*/
function add (out, a, b) {
out[0] = a[0] + b[0]
out[1] = a[1] + b[1]
out[2] = a[2] + b[2]
out[3] = a[3] + b[3]
return out
}
},{}],155:[function(require,module,exports){
module.exports = clone
/**
* Creates a new vec4 initialized with values from an existing vector
*
* @param {vec4} a vector to clone
* @returns {vec4} a new 4D vector
*/
function clone (a) {
var out = new Float32Array(4)
out[0] = a[0]
out[1] = a[1]
out[2] = a[2]
out[3] = a[3]
return out
}
},{}],156:[function(require,module,exports){
module.exports = copy
/**
* Copy the values from one vec4 to another
*
* @param {vec4} out the receiving vector
* @param {vec4} a the source vector
* @returns {vec4} out
*/
function copy (out, a) {
out[0] = a[0]
out[1] = a[1]
out[2] = a[2]
out[3] = a[3]
return out
}
},{}],157:[function(require,module,exports){
module.exports = create
/**
* Creates a new, empty vec4
*
* @returns {vec4} a new 4D vector
*/
function create () {
var out = new Float32Array(4)
out[0] = 0
out[1] = 0
out[2] = 0
out[3] = 0
return out
}
},{}],158:[function(require,module,exports){
module.exports = distance
/**
* Calculates the euclidian distance between two vec4's
*
* @param {vec4} a the first operand
* @param {vec4} b the second operand
* @returns {Number} distance between a and b
*/
function distance (a, b) {
var x = b[0] - a[0],
y = b[1] - a[1],
z = b[2] - a[2],
w = b[3] - a[3]
return Math.sqrt(x * x + y * y + z * z + w * w)
}
},{}],159:[function(require,module,exports){
module.exports = divide
/**
* Divides two vec4's
*
* @param {vec4} out the receiving vector
* @param {vec4} a the first operand
* @param {vec4} b the second operand
* @returns {vec4} out
*/
function divide (out, a, b) {
out[0] = a[0] / b[0]
out[1] = a[1] / b[1]
out[2] = a[2] / b[2]
out[3] = a[3] / b[3]
return out
}
},{}],160:[function(require,module,exports){
module.exports = dot
/**
* Calculates the dot product of two vec4's
*
* @param {vec4} a the first operand
* @param {vec4} b the second operand
* @returns {Number} dot product of a and b
*/
function dot (a, b) {
return a[0] * b[0] + a[1] * b[1] + a[2] * b[2] + a[3] * b[3]
}
},{}],161:[function(require,module,exports){
module.exports = fromValues
/**
* Creates a new vec4 initialized with the given values
*
* @param {Number} x X component
* @param {Number} y Y component
* @param {Number} z Z component
* @param {Number} w W component
* @returns {vec4} a new 4D vector
*/
function fromValues (x, y, z, w) {
var out = new Float32Array(4)
out[0] = x
out[1] = y
out[2] = z
out[3] = w
return out
}
},{}],162:[function(require,module,exports){
module.exports = {
create: require('./create'),
clone: require('./clone'),
fromValues: require('./fromValues'),
copy: require('./copy'),
set: require('./set'),
add: require('./add'),
subtract: require('./subtract'),
multiply: require('./multiply'),
divide: require('./divide'),
min: require('./min'),
max: require('./max'),
scale: require('./scale'),
scaleAndAdd: require('./scaleAndAdd'),
distance: require('./distance'),
squaredDistance: require('./squaredDistance'),
length: require('./length'),
squaredLength: require('./squaredLength'),
negate: require('./negate'),
inverse: require('./inverse'),
normalize: require('./normalize'),
dot: require('./dot'),
lerp: require('./lerp'),
random: require('./random'),
transformMat4: require('./transformMat4'),
transformQuat: require('./transformQuat')
}
},{"./add":154,"./clone":155,"./copy":156,"./create":157,"./distance":158,"./divide":159,"./dot":160,"./fromValues":161,"./inverse":163,"./length":164,"./lerp":165,"./max":166,"./min":167,"./multiply":168,"./negate":169,"./normalize":170,"./random":171,"./scale":172,"./scaleAndAdd":173,"./set":174,"./squaredDistance":175,"./squaredLength":176,"./subtract":177,"./transformMat4":178,"./transformQuat":179}],163:[function(require,module,exports){
module.exports = inverse
/**
* Returns the inverse of the components of a vec4
*
* @param {vec4} out the receiving vector
* @param {vec4} a vector to invert
* @returns {vec4} out
*/
function inverse (out, a) {
out[0] = 1.0 / a[0]
out[1] = 1.0 / a[1]
out[2] = 1.0 / a[2]
out[3] = 1.0 / a[3]
return out
}
},{}],164:[function(require,module,exports){
module.exports = length
/**
* Calculates the length of a vec4
*
* @param {vec4} a vector to calculate length of
* @returns {Number} length of a
*/
function length (a) {
var x = a[0],
y = a[1],
z = a[2],
w = a[3]
return Math.sqrt(x * x + y * y + z * z + w * w)
}
},{}],165:[function(require,module,exports){
module.exports = lerp
/**
* Performs a linear interpolation between two vec4's
*
* @param {vec4} out the receiving vector
* @param {vec4} a the first operand
* @param {vec4} b the second operand
* @param {Number} t interpolation amount between the two inputs
* @returns {vec4} out
*/
function lerp (out, a, b, t) {
var ax = a[0],
ay = a[1],
az = a[2],
aw = a[3]
out[0] = ax + t * (b[0] - ax)
out[1] = ay + t * (b[1] - ay)
out[2] = az + t * (b[2] - az)
out[3] = aw + t * (b[3] - aw)
return out
}
},{}],166:[function(require,module,exports){
module.exports = max
/**
* Returns the maximum of two vec4's
*
* @param {vec4} out the receiving vector
* @param {vec4} a the first operand
* @param {vec4} b the second operand
* @returns {vec4} out
*/
function max (out, a, b) {
out[0] = Math.max(a[0], b[0])
out[1] = Math.max(a[1], b[1])
out[2] = Math.max(a[2], b[2])
out[3] = Math.max(a[3], b[3])
return out
}
},{}],167:[function(require,module,exports){
module.exports = min
/**
* Returns the minimum of two vec4's
*
* @param {vec4} out the receiving vector
* @param {vec4} a the first operand
* @param {vec4} b the second operand
* @returns {vec4} out
*/
function min (out, a, b) {
out[0] = Math.min(a[0], b[0])
out[1] = Math.min(a[1], b[1])
out[2] = Math.min(a[2], b[2])
out[3] = Math.min(a[3], b[3])
return out
}
},{}],168:[function(require,module,exports){
module.exports = multiply
/**
* Multiplies two vec4's
*
* @param {vec4} out the receiving vector
* @param {vec4} a the first operand
* @param {vec4} b the second operand
* @returns {vec4} out
*/
function multiply (out, a, b) {
out[0] = a[0] * b[0]
out[1] = a[1] * b[1]
out[2] = a[2] * b[2]
out[3] = a[3] * b[3]
return out
}
},{}],169:[function(require,module,exports){
module.exports = negate
/**
* Negates the components of a vec4
*
* @param {vec4} out the receiving vector
* @param {vec4} a vector to negate
* @returns {vec4} out
*/
function negate (out, a) {
out[0] = -a[0]
out[1] = -a[1]
out[2] = -a[2]
out[3] = -a[3]
return out
}
},{}],170:[function(require,module,exports){
module.exports = normalize
/**
* Normalize a vec4
*
* @param {vec4} out the receiving vector
* @param {vec4} a vector to normalize
* @returns {vec4} out
*/
function normalize (out, a) {
var x = a[0],
y = a[1],
z = a[2],
w = a[3]
var len = x * x + y * y + z * z + w * w
if (len > 0) {
len = 1 / Math.sqrt(len)
out[0] = x * len
out[1] = y * len
out[2] = z * len
out[3] = w * len
}
return out
}
},{}],171:[function(require,module,exports){
var vecNormalize = require('./normalize')
var vecScale = require('./scale')
module.exports = random
/**
* Generates a random vector with the given scale
*
* @param {vec4} out the receiving vector
* @param {Number} [scale] Length of the resulting vector. If ommitted, a unit vector will be returned
* @returns {vec4} out
*/
function random (out, scale) {
scale = scale || 1.0
// TODO: This is a pretty awful way of doing this. Find something better.
out[0] = Math.random()
out[1] = Math.random()
out[2] = Math.random()
out[3] = Math.random()
vecNormalize(out, out)
vecScale(out, out, scale)
return out
}
},{"./normalize":170,"./scale":172}],172:[function(require,module,exports){
module.exports = scale
/**
* Scales a vec4 by a scalar number
*
* @param {vec4} out the receiving vector
* @param {vec4} a the vector to scale
* @param {Number} b amount to scale the vector by
* @returns {vec4} out
*/
function scale (out, a, b) {
out[0] = a[0] * b
out[1] = a[1] * b
out[2] = a[2] * b
out[3] = a[3] * b
return out
}
},{}],173:[function(require,module,exports){
module.exports = scaleAndAdd
/**
* Adds two vec4's after scaling the second operand by a scalar value
*
* @param {vec4} out the receiving vector
* @param {vec4} a the first operand
* @param {vec4} b the second operand
* @param {Number} scale the amount to scale b by before adding
* @returns {vec4} out
*/
function scaleAndAdd (out, a, b, scale) {
out[0] = a[0] + (b[0] * scale)
out[1] = a[1] + (b[1] * scale)
out[2] = a[2] + (b[2] * scale)
out[3] = a[3] + (b[3] * scale)
return out
}
},{}],174:[function(require,module,exports){
module.exports = set
/**
* Set the components of a vec4 to the given values
*
* @param {vec4} out the receiving vector
* @param {Number} x X component
* @param {Number} y Y component
* @param {Number} z Z component
* @param {Number} w W component
* @returns {vec4} out
*/
function set (out, x, y, z, w) {
out[0] = x
out[1] = y
out[2] = z
out[3] = w
return out
}
},{}],175:[function(require,module,exports){
module.exports = squaredDistance
/**
* Calculates the squared euclidian distance between two vec4's
*
* @param {vec4} a the first operand
* @param {vec4} b the second operand
* @returns {Number} squared distance between a and b
*/
function squaredDistance (a, b) {
var x = b[0] - a[0],
y = b[1] - a[1],
z = b[2] - a[2],
w = b[3] - a[3]
return x * x + y * y + z * z + w * w
}
},{}],176:[function(require,module,exports){
module.exports = squaredLength
/**
* Calculates the squared length of a vec4
*
* @param {vec4} a vector to calculate squared length of
* @returns {Number} squared length of a
*/
function squaredLength (a) {
var x = a[0],
y = a[1],
z = a[2],
w = a[3]
return x * x + y * y + z * z + w * w
}
},{}],177:[function(require,module,exports){
module.exports = subtract
/**
* Subtracts vector b from vector a
*
* @param {vec4} out the receiving vector
* @param {vec4} a the first operand
* @param {vec4} b the second operand
* @returns {vec4} out
*/
function subtract (out, a, b) {
out[0] = a[0] - b[0]
out[1] = a[1] - b[1]
out[2] = a[2] - b[2]
out[3] = a[3] - b[3]
return out
}
},{}],178:[function(require,module,exports){
module.exports = transformMat4
/**
* Transforms the vec4 with a mat4.
*
* @param {vec4} out the receiving vector
* @param {vec4} a the vector to transform
* @param {mat4} m matrix to transform with
* @returns {vec4} out
*/
function transformMat4 (out, a, m) {
var x = a[0], y = a[1], z = a[2], w = a[3]
out[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w
out[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w
out[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w
out[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w
return out
}
},{}],179:[function(require,module,exports){
module.exports = transformQuat
/**
* Transforms the vec4 with a quat
*
* @param {vec4} out the receiving vector
* @param {vec4} a the vector to transform
* @param {quat} q quaternion to transform with
* @returns {vec4} out
*/
function transformQuat (out, a, q) {
var x = a[0], y = a[1], z = a[2],
qx = q[0], qy = q[1], qz = q[2], qw = q[3],
// calculate quat * vec
ix = qw * x + qy * z - qz * y,
iy = qw * y + qz * x - qx * z,
iz = qw * z + qx * y - qy * x,
iw = -qx * x - qy * y - qz * z
// calculate result * inverse quat
out[0] = ix * qw + iw * -qx + iy * -qz - iz * -qy
out[1] = iy * qw + iw * -qy + iz * -qx - ix * -qz
out[2] = iz * qw + iw * -qz + ix * -qy - iy * -qx
out[3] = a[3]
return out
}
},{}],180:[function(require,module,exports){
var tokenize = require('glsl-tokenizer')
var atob = require('atob-lite')
module.exports = getName
function getName(src) {
var tokens = Array.isArray(src)
? src
: tokenize(src)
for (var i = 0; i < tokens.length; i++) {
var token = tokens[i]
if (token.type !== 'preprocessor') continue
var match = token.data.match(/\#define\s+SHADER_NAME(_B64)?\s+(.+)$/)
if (!match) continue
if (!match[2]) continue
var b64 = match[1]
var name = match[2]
return (b64 ? atob(name) : name).trim()
}
}
},{"atob-lite":17,"glsl-tokenizer":187}],181:[function(require,module,exports){
module.exports = tokenize
var literals100 = require('./lib/literals')
, operators = require('./lib/operators')
, builtins100 = require('./lib/builtins')
, literals300es = require('./lib/literals-300es')
, builtins300es = require('./lib/builtins-300es')
var NORMAL = 999 // <-- never emitted
, TOKEN = 9999 // <-- never emitted
, BLOCK_COMMENT = 0
, LINE_COMMENT = 1
, PREPROCESSOR = 2
, OPERATOR = 3
, INTEGER = 4
, FLOAT = 5
, IDENT = 6
, BUILTIN = 7
, KEYWORD = 8
, WHITESPACE = 9
, EOF = 10
, HEX = 11
var map = [
'block-comment'
, 'line-comment'
, 'preprocessor'
, 'operator'
, 'integer'
, 'float'
, 'ident'
, 'builtin'
, 'keyword'
, 'whitespace'
, 'eof'
, 'integer'
]
function tokenize(opt) {
var i = 0
, total = 0
, mode = NORMAL
, c
, last
, content = []
, tokens = []
, token_idx = 0
, token_offs = 0
, line = 1
, col = 0
, start = 0
, isnum = false
, isoperator = false
, input = ''
, len
opt = opt || {}
var allBuiltins = builtins100
var allLiterals = literals100
if (opt.version === '300 es') {
allBuiltins = builtins300es
allLiterals = literals300es
}
return function(data) {
tokens = []
if (data !== null) return write(data.replace ? data.replace(/\r\n/g, '\n') : data)
return end()
}
function token(data) {
if (data.length) {
tokens.push({
type: map[mode]
, data: data
, position: start
, line: line
, column: col
})
}
}
function write(chunk) {
i = 0
input += chunk
len = input.length
var last
while(c = input[i], i < len) {
last = i
switch(mode) {
case BLOCK_COMMENT: i = block_comment(); break
case LINE_COMMENT: i = line_comment(); break
case PREPROCESSOR: i = preprocessor(); break
case OPERATOR: i = operator(); break
case INTEGER: i = integer(); break
case HEX: i = hex(); break
case FLOAT: i = decimal(); break
case TOKEN: i = readtoken(); break
case WHITESPACE: i = whitespace(); break
case NORMAL: i = normal(); break
}
if(last !== i) {
switch(input[last]) {
case '\n': col = 0; ++line; break
default: ++col; break
}
}
}
total += i
input = input.slice(i)
return tokens
}
function end(chunk) {
if(content.length) {
token(content.join(''))
}
mode = EOF
token('(eof)')
return tokens
}
function normal() {
content = content.length ? [] : content
if(last === '/' && c === '*') {
start = total + i - 1
mode = BLOCK_COMMENT
last = c
return i + 1
}
if(last === '/' && c === '/') {
start = total + i - 1
mode = LINE_COMMENT
last = c
return i + 1
}
if(c === '#') {
mode = PREPROCESSOR
start = total + i
return i
}
if(/\s/.test(c)) {
mode = WHITESPACE
start = total + i
return i
}
isnum = /\d/.test(c)
isoperator = /[^\w_]/.test(c)
start = total + i
mode = isnum ? INTEGER : isoperator ? OPERATOR : TOKEN
return i
}
function whitespace() {
if(/[^\s]/g.test(c)) {
token(content.join(''))
mode = NORMAL
return i
}
content.push(c)
last = c
return i + 1
}
function preprocessor() {
if((c === '\r' || c === '\n') && last !== '\\') {
token(content.join(''))
mode = NORMAL
return i
}
content.push(c)
last = c
return i + 1
}
function line_comment() {
return preprocessor()
}
function block_comment() {
if(c === '/' && last === '*') {
content.push(c)
token(content.join(''))
mode = NORMAL
return i + 1
}
content.push(c)
last = c
return i + 1
}
function operator() {
if(last === '.' && /\d/.test(c)) {
mode = FLOAT
return i
}
if(last === '/' && c === '*') {
mode = BLOCK_COMMENT
return i
}
if(last === '/' && c === '/') {
mode = LINE_COMMENT
return i
}
if(c === '.' && content.length) {
while(determine_operator(content));
mode = FLOAT
return i
}
if(c === ';' || c === ')' || c === '(') {
if(content.length) while(determine_operator(content));
token(c)
mode = NORMAL
return i + 1
}
var is_composite_operator = content.length === 2 && c !== '='
if(/[\w_\d\s]/.test(c) || is_composite_operator) {
while(determine_operator(content));
mode = NORMAL
return i
}
content.push(c)
last = c
return i + 1
}
function determine_operator(buf) {
var j = 0
, idx
, res
do {
idx = operators.indexOf(buf.slice(0, buf.length + j).join(''))
res = operators[idx]
if(idx === -1) {
if(j-- + buf.length > 0) continue
res = buf.slice(0, 1).join('')
}
token(res)
start += res.length
content = content.slice(res.length)
return content.length
} while(1)
}
function hex() {
if(/[^a-fA-F0-9]/.test(c)) {
token(content.join(''))
mode = NORMAL
return i
}
content.push(c)
last = c
return i + 1
}
function integer() {
if(c === '.') {
content.push(c)
mode = FLOAT
last = c
return i + 1
}
if(/[eE]/.test(c)) {
content.push(c)
mode = FLOAT
last = c
return i + 1
}
if(c === 'x' && content.length === 1 && content[0] === '0') {
mode = HEX
content.push(c)
last = c
return i + 1
}
if(/[^\d]/.test(c)) {
token(content.join(''))
mode = NORMAL
return i
}
content.push(c)
last = c
return i + 1
}
function decimal() {
if(c === 'f') {
content.push(c)
last = c
i += 1
}
if(/[eE]/.test(c)) {
content.push(c)
last = c
return i + 1
}
if (c === '-' && /[eE]/.test(last)) {
content.push(c)
last = c
return i + 1
}
if(/[^\d]/.test(c)) {
token(content.join(''))
mode = NORMAL
return i
}
content.push(c)
last = c
return i + 1
}
function readtoken() {
if(/[^\d\w_]/.test(c)) {
var contentstr = content.join('')
if(allLiterals.indexOf(contentstr) > -1) {
mode = KEYWORD
} else if(allBuiltins.indexOf(contentstr) > -1) {
mode = BUILTIN
} else {
mode = IDENT
}
token(content.join(''))
mode = NORMAL
return i
}
content.push(c)
last = c
return i + 1
}
}
},{"./lib/builtins":183,"./lib/builtins-300es":182,"./lib/literals":185,"./lib/literals-300es":184,"./lib/operators":186}],182:[function(require,module,exports){
// 300es builtins/reserved words that were previously valid in v100
var v100 = require('./builtins')
// The texture2D|Cube functions have been removed
// And the gl_ features are updated
v100 = v100.slice().filter(function (b) {
return !/^(gl\_|texture)/.test(b)
})
module.exports = v100.concat([
// the updated gl_ constants
'gl_VertexID'
, 'gl_InstanceID'
, 'gl_Position'
, 'gl_PointSize'
, 'gl_FragCoord'
, 'gl_FrontFacing'
, 'gl_FragDepth'
, 'gl_PointCoord'
, 'gl_MaxVertexAttribs'
, 'gl_MaxVertexUniformVectors'
, 'gl_MaxVertexOutputVectors'
, 'gl_MaxFragmentInputVectors'
, 'gl_MaxVertexTextureImageUnits'
, 'gl_MaxCombinedTextureImageUnits'
, 'gl_MaxTextureImageUnits'
, 'gl_MaxFragmentUniformVectors'
, 'gl_MaxDrawBuffers'
, 'gl_MinProgramTexelOffset'
, 'gl_MaxProgramTexelOffset'
, 'gl_DepthRangeParameters'
, 'gl_DepthRange'
// other builtins
, 'trunc'
, 'round'
, 'roundEven'
, 'isnan'
, 'isinf'
, 'floatBitsToInt'
, 'floatBitsToUint'
, 'intBitsToFloat'
, 'uintBitsToFloat'
, 'packSnorm2x16'
, 'unpackSnorm2x16'
, 'packUnorm2x16'
, 'unpackUnorm2x16'
, 'packHalf2x16'
, 'unpackHalf2x16'
, 'outerProduct'
, 'transpose'
, 'determinant'
, 'inverse'
, 'texture'
, 'textureSize'
, 'textureProj'
, 'textureLod'
, 'textureOffset'
, 'texelFetch'
, 'texelFetchOffset'
, 'textureProjOffset'
, 'textureLodOffset'
, 'textureProjLod'
, 'textureProjLodOffset'
, 'textureGrad'
, 'textureGradOffset'
, 'textureProjGrad'
, 'textureProjGradOffset'
])
},{"./builtins":183}],183:[function(require,module,exports){
module.exports = [
// Keep this list sorted
'abs'
, 'acos'
, 'all'
, 'any'
, 'asin'
, 'atan'
, 'ceil'
, 'clamp'
, 'cos'
, 'cross'
, 'dFdx'
, 'dFdy'
, 'degrees'
, 'distance'
, 'dot'
, 'equal'
, 'exp'
, 'exp2'
, 'faceforward'
, 'floor'
, 'fract'
, 'gl_BackColor'
, 'gl_BackLightModelProduct'
, 'gl_BackLightProduct'
, 'gl_BackMaterial'
, 'gl_BackSecondaryColor'
, 'gl_ClipPlane'
, 'gl_ClipVertex'
, 'gl_Color'
, 'gl_DepthRange'
, 'gl_DepthRangeParameters'
, 'gl_EyePlaneQ'
, 'gl_EyePlaneR'
, 'gl_EyePlaneS'
, 'gl_EyePlaneT'
, 'gl_Fog'
, 'gl_FogCoord'
, 'gl_FogFragCoord'
, 'gl_FogParameters'
, 'gl_FragColor'
, 'gl_FragCoord'
, 'gl_FragData'
, 'gl_FragDepth'
, 'gl_FragDepthEXT'
, 'gl_FrontColor'
, 'gl_FrontFacing'
, 'gl_FrontLightModelProduct'
, 'gl_FrontLightProduct'
, 'gl_FrontMaterial'
, 'gl_FrontSecondaryColor'
, 'gl_LightModel'
, 'gl_LightModelParameters'
, 'gl_LightModelProducts'
, 'gl_LightProducts'
, 'gl_LightSource'
, 'gl_LightSourceParameters'
, 'gl_MaterialParameters'
, 'gl_MaxClipPlanes'
, 'gl_MaxCombinedTextureImageUnits'
, 'gl_MaxDrawBuffers'
, 'gl_MaxFragmentUniformComponents'
, 'gl_MaxLights'
, 'gl_MaxTextureCoords'
, 'gl_MaxTextureImageUnits'
, 'gl_MaxTextureUnits'
, 'gl_MaxVaryingFloats'
, 'gl_MaxVertexAttribs'
, 'gl_MaxVertexTextureImageUnits'
, 'gl_MaxVertexUniformComponents'
, 'gl_ModelViewMatrix'
, 'gl_ModelViewMatrixInverse'
, 'gl_ModelViewMatrixInverseTranspose'
, 'gl_ModelViewMatrixTranspose'
, 'gl_ModelViewProjectionMatrix'
, 'gl_ModelViewProjectionMatrixInverse'
, 'gl_ModelViewProjectionMatrixInverseTranspose'
, 'gl_ModelViewProjectionMatrixTranspose'
, 'gl_MultiTexCoord0'
, 'gl_MultiTexCoord1'
, 'gl_MultiTexCoord2'
, 'gl_MultiTexCoord3'
, 'gl_MultiTexCoord4'
, 'gl_MultiTexCoord5'
, 'gl_MultiTexCoord6'
, 'gl_MultiTexCoord7'
, 'gl_Normal'
, 'gl_NormalMatrix'
, 'gl_NormalScale'
, 'gl_ObjectPlaneQ'
, 'gl_ObjectPlaneR'
, 'gl_ObjectPlaneS'
, 'gl_ObjectPlaneT'
, 'gl_Point'
, 'gl_PointCoord'
, 'gl_PointParameters'
, 'gl_PointSize'
, 'gl_Position'
, 'gl_ProjectionMatrix'
, 'gl_ProjectionMatrixInverse'
, 'gl_ProjectionMatrixInverseTranspose'
, 'gl_ProjectionMatrixTranspose'
, 'gl_SecondaryColor'
, 'gl_TexCoord'
, 'gl_TextureEnvColor'
, 'gl_TextureMatrix'
, 'gl_TextureMatrixInverse'
, 'gl_TextureMatrixInverseTranspose'
, 'gl_TextureMatrixTranspose'
, 'gl_Vertex'
, 'greaterThan'
, 'greaterThanEqual'
, 'inversesqrt'
, 'length'
, 'lessThan'
, 'lessThanEqual'
, 'log'
, 'log2'
, 'matrixCompMult'
, 'max'
, 'min'
, 'mix'
, 'mod'
, 'normalize'
, 'not'
, 'notEqual'
, 'pow'
, 'radians'
, 'reflect'
, 'refract'
, 'sign'
, 'sin'
, 'smoothstep'
, 'sqrt'
, 'step'
, 'tan'
, 'texture2D'
, 'texture2DLod'
, 'texture2DProj'
, 'texture2DProjLod'
, 'textureCube'
, 'textureCubeLod'
, 'texture2DLodEXT'
, 'texture2DProjLodEXT'
, 'textureCubeLodEXT'
, 'texture2DGradEXT'
, 'texture2DProjGradEXT'
, 'textureCubeGradEXT'
]
},{}],184:[function(require,module,exports){
var v100 = require('./literals')
module.exports = v100.slice().concat([
'layout'
, 'centroid'
, 'smooth'
, 'case'
, 'mat2x2'
, 'mat2x3'
, 'mat2x4'
, 'mat3x2'
, 'mat3x3'
, 'mat3x4'
, 'mat4x2'
, 'mat4x3'
, 'mat4x4'
, 'uint'
, 'uvec2'
, 'uvec3'
, 'uvec4'
, 'samplerCubeShadow'
, 'sampler2DArray'
, 'sampler2DArrayShadow'
, 'isampler2D'
, 'isampler3D'
, 'isamplerCube'
, 'isampler2DArray'
, 'usampler2D'
, 'usampler3D'
, 'usamplerCube'
, 'usampler2DArray'
, 'coherent'
, 'restrict'
, 'readonly'
, 'writeonly'
, 'resource'
, 'atomic_uint'
, 'noperspective'
, 'patch'
, 'sample'
, 'subroutine'
, 'common'
, 'partition'
, 'active'
, 'filter'
, 'image1D'
, 'image2D'
, 'image3D'
, 'imageCube'
, 'iimage1D'
, 'iimage2D'
, 'iimage3D'
, 'iimageCube'
, 'uimage1D'
, 'uimage2D'
, 'uimage3D'
, 'uimageCube'
, 'image1DArray'
, 'image2DArray'
, 'iimage1DArray'
, 'iimage2DArray'
, 'uimage1DArray'
, 'uimage2DArray'
, 'image1DShadow'
, 'image2DShadow'
, 'image1DArrayShadow'
, 'image2DArrayShadow'
, 'imageBuffer'
, 'iimageBuffer'
, 'uimageBuffer'
, 'sampler1DArray'
, 'sampler1DArrayShadow'
, 'isampler1D'
, 'isampler1DArray'
, 'usampler1D'
, 'usampler1DArray'
, 'isampler2DRect'
, 'usampler2DRect'
, 'samplerBuffer'
, 'isamplerBuffer'
, 'usamplerBuffer'
, 'sampler2DMS'
, 'isampler2DMS'
, 'usampler2DMS'
, 'sampler2DMSArray'
, 'isampler2DMSArray'
, 'usampler2DMSArray'
])
},{"./literals":185}],185:[function(require,module,exports){
module.exports = [
// current
'precision'
, 'highp'
, 'mediump'
, 'lowp'
, 'attribute'
, 'const'
, 'uniform'
, 'varying'
, 'break'
, 'continue'
, 'do'
, 'for'
, 'while'
, 'if'
, 'else'
, 'in'
, 'out'
, 'inout'
, 'float'
, 'int'
, 'void'
, 'bool'
, 'true'
, 'false'
, 'discard'
, 'return'
, 'mat2'
, 'mat3'
, 'mat4'
, 'vec2'
, 'vec3'
, 'vec4'
, 'ivec2'
, 'ivec3'
, 'ivec4'
, 'bvec2'
, 'bvec3'
, 'bvec4'
, 'sampler1D'
, 'sampler2D'
, 'sampler3D'
, 'samplerCube'
, 'sampler1DShadow'
, 'sampler2DShadow'
, 'struct'
// future
, 'asm'
, 'class'
, 'union'
, 'enum'
, 'typedef'
, 'template'
, 'this'
, 'packed'
, 'goto'
, 'switch'
, 'default'
, 'inline'
, 'noinline'
, 'volatile'
, 'public'
, 'static'
, 'extern'
, 'external'
, 'interface'
, 'long'
, 'short'
, 'double'
, 'half'
, 'fixed'
, 'unsigned'
, 'input'
, 'output'
, 'hvec2'
, 'hvec3'
, 'hvec4'
, 'dvec2'
, 'dvec3'
, 'dvec4'
, 'fvec2'
, 'fvec3'
, 'fvec4'
, 'sampler2DRect'
, 'sampler3DRect'
, 'sampler2DRectShadow'
, 'sizeof'
, 'cast'
, 'namespace'
, 'using'
]
},{}],186:[function(require,module,exports){
module.exports = [
'<<='
, '>>='
, '++'
, '--'
, '<<'
, '>>'
, '<='
, '>='
, '=='
, '!='
, '&&'
, '||'
, '+='
, '-='
, '*='
, '/='
, '%='
, '&='
, '^^'
, '^='
, '|='
, '('
, ')'
, '['
, ']'
, '.'
, '!'
, '~'
, '*'
, '/'
, '%'
, '+'
, '-'
, '<'
, '>'
, '&'
, '^'
, '|'
, '?'
, ':'
, '='
, ','
, ';'
, '{'
, '}'
]
},{}],187:[function(require,module,exports){
var tokenize = require('./index')
module.exports = tokenizeString
function tokenizeString(str, opt) {
var generator = tokenize(opt)
var tokens = []
tokens = tokens.concat(generator(str))
tokens = tokens.concat(generator(null))
return tokens
}
},{"./index":181}],188:[function(require,module,exports){
"use strict"
//High level idea:
// 1. Use Clarkson's incremental construction to find convex hull
// 2. Point location in triangulation by jump and walk
module.exports = incrementalConvexHull
var orient = require("robust-orientation")
var compareCell = require("simplicial-complex").compareCells
function compareInt(a, b) {
return a - b
}
function Simplex(vertices, adjacent, boundary) {
this.vertices = vertices
this.adjacent = adjacent
this.boundary = boundary
this.lastVisited = -1
}
Simplex.prototype.flip = function() {
var t = this.vertices[0]
this.vertices[0] = this.vertices[1]
this.vertices[1] = t
var u = this.adjacent[0]
this.adjacent[0] = this.adjacent[1]
this.adjacent[1] = u
}
function GlueFacet(vertices, cell, index) {
this.vertices = vertices
this.cell = cell
this.index = index
}
function compareGlue(a, b) {
return compareCell(a.vertices, b.vertices)
}
function bakeOrient(d) {
var code = ["function orient(){var tuple=this.tuple;return test("]
for(var i=0; i<=d; ++i) {
if(i > 0) {
code.push(",")
}
code.push("tuple[", i, "]")
}
code.push(")}return orient")
var proc = new Function("test", code.join(""))
var test = orient[d+1]
if(!test) {
test = orient
}
return proc(test)
}
var BAKED = []
function Triangulation(dimension, vertices, simplices) {
this.dimension = dimension
this.vertices = vertices
this.simplices = simplices
this.interior = simplices.filter(function(c) {
return !c.boundary
})
this.tuple = new Array(dimension+1)
for(var i=0; i<=dimension; ++i) {
this.tuple[i] = this.vertices[i]
}
var o = BAKED[dimension]
if(!o) {
o = BAKED[dimension] = bakeOrient(dimension)
}
this.orient = o
}
var proto = Triangulation.prototype
//Degenerate situation where we are on boundary, but coplanar to face
proto.handleBoundaryDegeneracy = function(cell, point) {
var d = this.dimension
var n = this.vertices.length - 1
var tuple = this.tuple
var verts = this.vertices
//Dumb solution: Just do dfs from boundary cell until we find any peak, or terminate
var toVisit = [ cell ]
cell.lastVisited = -n
while(toVisit.length > 0) {
cell = toVisit.pop()
var cellVerts = cell.vertices
var cellAdj = cell.adjacent
for(var i=0; i<=d; ++i) {
var neighbor = cellAdj[i]
if(!neighbor.boundary || neighbor.lastVisited <= -n) {
continue
}
var nv = neighbor.vertices
for(var j=0; j<=d; ++j) {
var vv = nv[j]
if(vv < 0) {
tuple[j] = point
} else {
tuple[j] = verts[vv]
}
}
var o = this.orient()
if(o > 0) {
return neighbor
}
neighbor.lastVisited = -n
if(o === 0) {
toVisit.push(neighbor)
}
}
}
return null
}
proto.walk = function(point, random) {
//Alias local properties
var n = this.vertices.length - 1
var d = this.dimension
var verts = this.vertices
var tuple = this.tuple
//Compute initial jump cell
var initIndex = random ? (this.interior.length * Math.random())|0 : (this.interior.length-1)
var cell = this.interior[ initIndex ]
//Start walking
outerLoop:
while(!cell.boundary) {
var cellVerts = cell.vertices
var cellAdj = cell.adjacent
for(var i=0; i<=d; ++i) {
tuple[i] = verts[cellVerts[i]]
}
cell.lastVisited = n
//Find farthest adjacent cell
for(var i=0; i<=d; ++i) {
var neighbor = cellAdj[i]
if(neighbor.lastVisited >= n) {
continue
}
var prev = tuple[i]
tuple[i] = point
var o = this.orient()
tuple[i] = prev
if(o < 0) {
cell = neighbor
continue outerLoop
} else {
if(!neighbor.boundary) {
neighbor.lastVisited = n
} else {
neighbor.lastVisited = -n
}
}
}
return
}
return cell
}
proto.addPeaks = function(point, cell) {
var n = this.vertices.length - 1
var d = this.dimension
var verts = this.vertices
var tuple = this.tuple
var interior = this.interior
var simplices = this.simplices
//Walking finished at boundary, time to add peaks
var tovisit = [ cell ]
//Stretch initial boundary cell into a peak
cell.lastVisited = n
cell.vertices[cell.vertices.indexOf(-1)] = n
cell.boundary = false
interior.push(cell)
//Record a list of all new boundaries created by added peaks so we can glue them together when we are all done
var glueFacets = []
//Do a traversal of the boundary walking outward from starting peak
while(tovisit.length > 0) {
//Pop off peak and walk over adjacent cells
var cell = tovisit.pop()
var cellVerts = cell.vertices
var cellAdj = cell.adjacent
var indexOfN = cellVerts.indexOf(n)
if(indexOfN < 0) {
continue
}
for(var i=0; i<=d; ++i) {
if(i === indexOfN) {
continue
}
//For each boundary neighbor of the cell
var neighbor = cellAdj[i]
if(!neighbor.boundary || neighbor.lastVisited >= n) {
continue
}
var nv = neighbor.vertices
//Test if neighbor is a peak
if(neighbor.lastVisited !== -n) {
//Compute orientation of p relative to each boundary peak
var indexOfNeg1 = 0
for(var j=0; j<=d; ++j) {
if(nv[j] < 0) {
indexOfNeg1 = j
tuple[j] = point
} else {
tuple[j] = verts[nv[j]]
}
}
var o = this.orient()
//Test if neighbor cell is also a peak
if(o > 0) {
nv[indexOfNeg1] = n
neighbor.boundary = false
interior.push(neighbor)
tovisit.push(neighbor)
neighbor.lastVisited = n
continue
} else {
neighbor.lastVisited = -n
}
}
var na = neighbor.adjacent
//Otherwise, replace neighbor with new face
var vverts = cellVerts.slice()
var vadj = cellAdj.slice()
var ncell = new Simplex(vverts, vadj, true)
simplices.push(ncell)
//Connect to neighbor
var opposite = na.indexOf(cell)
if(opposite < 0) {
continue
}
na[opposite] = ncell
vadj[indexOfN] = neighbor
//Connect to cell
vverts[i] = -1
vadj[i] = cell
cellAdj[i] = ncell
//Flip facet
ncell.flip()
//Add to glue list
for(var j=0; j<=d; ++j) {
var uu = vverts[j]
if(uu < 0 || uu === n) {
continue
}
var nface = new Array(d-1)
var nptr = 0
for(var k=0; k<=d; ++k) {
var vv = vverts[k]
if(vv < 0 || k === j) {
continue
}
nface[nptr++] = vv
}
glueFacets.push(new GlueFacet(nface, ncell, j))
}
}
}
//Glue boundary facets together
glueFacets.sort(compareGlue)
for(var i=0; i+1<glueFacets.length; i+=2) {
var a = glueFacets[i]
var b = glueFacets[i+1]
var ai = a.index
var bi = b.index
if(ai < 0 || bi < 0) {
continue
}
a.cell.adjacent[a.index] = b.cell
b.cell.adjacent[b.index] = a.cell
}
}
proto.insert = function(point, random) {
//Add point
var verts = this.vertices
verts.push(point)
var cell = this.walk(point, random)
if(!cell) {
return
}
//Alias local properties
var d = this.dimension
var tuple = this.tuple
//Degenerate case: If point is coplanar to cell, then walk until we find a non-degenerate boundary
for(var i=0; i<=d; ++i) {
var vv = cell.vertices[i]
if(vv < 0) {
tuple[i] = point
} else {
tuple[i] = verts[vv]
}
}
var o = this.orient(tuple)
if(o < 0) {
return
} else if(o === 0) {
cell = this.handleBoundaryDegeneracy(cell, point)
if(!cell) {
return
}
}
//Add peaks
this.addPeaks(point, cell)
}
//Extract all boundary cells
proto.boundary = function() {
var d = this.dimension
var boundary = []
var cells = this.simplices
var nc = cells.length
for(var i=0; i<nc; ++i) {
var c = cells[i]
if(c.boundary) {
var bcell = new Array(d)
var cv = c.vertices
var ptr = 0
var parity = 0
for(var j=0; j<=d; ++j) {
if(cv[j] >= 0) {
bcell[ptr++] = cv[j]
} else {
parity = j&1
}
}
if(parity === (d&1)) {
var t = bcell[0]
bcell[0] = bcell[1]
bcell[1] = t
}
boundary.push(bcell)
}
}
return boundary
}
function incrementalConvexHull(points, randomSearch) {
var n = points.length
if(n === 0) {
throw new Error("Must have at least d+1 points")
}
var d = points[0].length
if(n <= d) {
throw new Error("Must input at least d+1 points")
}
//FIXME: This could be degenerate, but need to select d+1 non-coplanar points to bootstrap process
var initialSimplex = points.slice(0, d+1)
//Make sure initial simplex is positively oriented
var o = orient.apply(void 0, initialSimplex)
if(o === 0) {
throw new Error("Input not in general position")
}
var initialCoords = new Array(d+1)
for(var i=0; i<=d; ++i) {
initialCoords[i] = i
}
if(o < 0) {
initialCoords[0] = 1
initialCoords[1] = 0
}
//Create initial topological index, glue pointers together (kind of messy)
var initialCell = new Simplex(initialCoords, new Array(d+1), false)
var boundary = initialCell.adjacent
var list = new Array(d+2)
for(var i=0; i<=d; ++i) {
var verts = initialCoords.slice()
for(var j=0; j<=d; ++j) {
if(j === i) {
verts[j] = -1
}
}
var t = verts[0]
verts[0] = verts[1]
verts[1] = t
var cell = new Simplex(verts, new Array(d+1), true)
boundary[i] = cell
list[i] = cell
}
list[d+1] = initialCell
for(var i=0; i<=d; ++i) {
var verts = boundary[i].vertices
var adj = boundary[i].adjacent
for(var j=0; j<=d; ++j) {
var v = verts[j]
if(v < 0) {
adj[j] = initialCell
continue
}
for(var k=0; k<=d; ++k) {
if(boundary[k].vertices.indexOf(v) < 0) {
adj[j] = boundary[k]
}
}
}
}
//Initialize triangles
var triangles = new Triangulation(d, initialSimplex, list)
//Insert remaining points
var useRandom = !!randomSearch
for(var i=d+1; i<n; ++i) {
triangles.insert(points[i], useRandom)
}
//Extract boundary cells
return triangles.boundary()
}
},{"robust-orientation":234,"simplicial-complex":242}],189:[function(require,module,exports){
"use strict"
var bounds = require("binary-search-bounds")
var NOT_FOUND = 0
var SUCCESS = 1
var EMPTY = 2
module.exports = createWrapper
function IntervalTreeNode(mid, left, right, leftPoints, rightPoints) {
this.mid = mid
this.left = left
this.right = right
this.leftPoints = leftPoints
this.rightPoints = rightPoints
this.count = (left ? left.count : 0) + (right ? right.count : 0) + leftPoints.length
}
var proto = IntervalTreeNode.prototype
function copy(a, b) {
a.mid = b.mid
a.left = b.left
a.right = b.right
a.leftPoints = b.leftPoints
a.rightPoints = b.rightPoints
a.count = b.count
}
function rebuild(node, intervals) {
var ntree = createIntervalTree(intervals)
node.mid = ntree.mid
node.left = ntree.left
node.right = ntree.right
node.leftPoints = ntree.leftPoints
node.rightPoints = ntree.rightPoints
node.count = ntree.count
}
function rebuildWithInterval(node, interval) {
var intervals = node.intervals([])
intervals.push(interval)
rebuild(node, intervals)
}
function rebuildWithoutInterval(node, interval) {
var intervals = node.intervals([])
var idx = intervals.indexOf(interval)
if(idx < 0) {
return NOT_FOUND
}
intervals.splice(idx, 1)
rebuild(node, intervals)
return SUCCESS
}
proto.intervals = function(result) {
result.push.apply(result, this.leftPoints)
if(this.left) {
this.left.intervals(result)
}
if(this.right) {
this.right.intervals(result)
}
return result
}
proto.insert = function(interval) {
var weight = this.count - this.leftPoints.length
this.count += 1
if(interval[1] < this.mid) {
if(this.left) {
if(4*(this.left.count+1) > 3*(weight+1)) {
rebuildWithInterval(this, interval)
} else {
this.left.insert(interval)
}
} else {
this.left = createIntervalTree([interval])
}
} else if(interval[0] > this.mid) {
if(this.right) {
if(4*(this.right.count+1) > 3*(weight+1)) {
rebuildWithInterval(this, interval)
} else {
this.right.insert(interval)
}
} else {
this.right = createIntervalTree([interval])
}
} else {
var l = bounds.ge(this.leftPoints, interval, compareBegin)
var r = bounds.ge(this.rightPoints, interval, compareEnd)
this.leftPoints.splice(l, 0, interval)
this.rightPoints.splice(r, 0, interval)
}
}
proto.remove = function(interval) {
var weight = this.count - this.leftPoints
if(interval[1] < this.mid) {
if(!this.left) {
return NOT_FOUND
}
var rw = this.right ? this.right.count : 0
if(4 * rw > 3 * (weight-1)) {
return rebuildWithoutInterval(this, interval)
}
var r = this.left.remove(interval)
if(r === EMPTY) {
this.left = null
this.count -= 1
return SUCCESS
} else if(r === SUCCESS) {
this.count -= 1
}
return r
} else if(interval[0] > this.mid) {
if(!this.right) {
return NOT_FOUND
}
var lw = this.left ? this.left.count : 0
if(4 * lw > 3 * (weight-1)) {
return rebuildWithoutInterval(this, interval)
}
var r = this.right.remove(interval)
if(r === EMPTY) {
this.right = null
this.count -= 1
return SUCCESS
} else if(r === SUCCESS) {
this.count -= 1
}
return r
} else {
if(this.count === 1) {
if(this.leftPoints[0] === interval) {
return EMPTY
} else {
return NOT_FOUND
}
}
if(this.leftPoints.length === 1 && this.leftPoints[0] === interval) {
if(this.left && this.right) {
var p = this
var n = this.left
while(n.right) {
p = n
n = n.right
}
if(p === this) {
n.right = this.right
} else {
var l = this.left
var r = this.right
p.count -= n.count
p.right = n.left
n.left = l
n.right = r
}
copy(this, n)
this.count = (this.left?this.left.count:0) + (this.right?this.right.count:0) + this.leftPoints.length
} else if(this.left) {
copy(this, this.left)
} else {
copy(this, this.right)
}
return SUCCESS
}
for(var l = bounds.ge(this.leftPoints, interval, compareBegin); l<this.leftPoints.length; ++l) {
if(this.leftPoints[l][0] !== interval[0]) {
break
}
if(this.leftPoints[l] === interval) {
this.count -= 1
this.leftPoints.splice(l, 1)
for(var r = bounds.ge(this.rightPoints, interval, compareEnd); r<this.rightPoints.length; ++r) {
if(this.rightPoints[r][1] !== interval[1]) {
break
} else if(this.rightPoints[r] === interval) {
this.rightPoints.splice(r, 1)
return SUCCESS
}
}
}
}
return NOT_FOUND
}
}
function reportLeftRange(arr, hi, cb) {
for(var i=0; i<arr.length && arr[i][0] <= hi; ++i) {
var r = cb(arr[i])
if(r) { return r }
}
}
function reportRightRange(arr, lo, cb) {
for(var i=arr.length-1; i>=0 && arr[i][1] >= lo; --i) {
var r = cb(arr[i])
if(r) { return r }
}
}
function reportRange(arr, cb) {
for(var i=0; i<arr.length; ++i) {
var r = cb(arr[i])
if(r) { return r }
}
}
proto.queryPoint = function(x, cb) {
if(x < this.mid) {
if(this.left) {
var r = this.left.queryPoint(x, cb)
if(r) { return r }
}
return reportLeftRange(this.leftPoints, x, cb)
} else if(x > this.mid) {
if(this.right) {
var r = this.right.queryPoint(x, cb)
if(r) { return r }
}
return reportRightRange(this.rightPoints, x, cb)
} else {
return reportRange(this.leftPoints, cb)
}
}
proto.queryInterval = function(lo, hi, cb) {
if(lo < this.mid && this.left) {
var r = this.left.queryInterval(lo, hi, cb)
if(r) { return r }
}
if(hi > this.mid && this.right) {
var r = this.right.queryInterval(lo, hi, cb)
if(r) { return r }
}
if(hi < this.mid) {
return reportLeftRange(this.leftPoints, hi, cb)
} else if(lo > this.mid) {
return reportRightRange(this.rightPoints, lo, cb)
} else {
return reportRange(this.leftPoints, cb)
}
}
function compareNumbers(a, b) {
return a - b
}
function compareBegin(a, b) {
var d = a[0] - b[0]
if(d) { return d }
return a[1] - b[1]
}
function compareEnd(a, b) {
var d = a[1] - b[1]
if(d) { return d }
return a[0] - b[0]
}
function createIntervalTree(intervals) {
if(intervals.length === 0) {
return null
}
var pts = []
for(var i=0; i<intervals.length; ++i) {
pts.push(intervals[i][0], intervals[i][1])
}
pts.sort(compareNumbers)
var mid = pts[pts.length>>1]
var leftIntervals = []
var rightIntervals = []
var centerIntervals = []
for(var i=0; i<intervals.length; ++i) {
var s = intervals[i]
if(s[1] < mid) {
leftIntervals.push(s)
} else if(mid < s[0]) {
rightIntervals.push(s)
} else {
centerIntervals.push(s)
}
}
//Split center intervals
var leftPoints = centerIntervals
var rightPoints = centerIntervals.slice()
leftPoints.sort(compareBegin)
rightPoints.sort(compareEnd)
return new IntervalTreeNode(mid,
createIntervalTree(leftIntervals),
createIntervalTree(rightIntervals),
leftPoints,
rightPoints)
}
//User friendly wrapper that makes it possible to support empty trees
function IntervalTree(root) {
this.root = root
}
var tproto = IntervalTree.prototype
tproto.insert = function(interval) {
if(this.root) {
this.root.insert(interval)
} else {
this.root = new IntervalTreeNode(interval[0], null, null, [interval], [interval])
}
}
tproto.remove = function(interval) {
if(this.root) {
var r = this.root.remove(interval)
if(r === EMPTY) {
this.root = null
}
return r !== NOT_FOUND
}
return false
}
tproto.queryPoint = function(p, cb) {
if(this.root) {
return this.root.queryPoint(p, cb)
}
}
tproto.queryInterval = function(lo, hi, cb) {
if(lo <= hi && this.root) {
return this.root.queryInterval(lo, hi, cb)
}
}
Object.defineProperty(tproto, "count", {
get: function() {
if(this.root) {
return this.root.count
}
return 0
}
})
Object.defineProperty(tproto, "intervals", {
get: function() {
if(this.root) {
return this.root.intervals([])
}
return []
}
})
function createWrapper(intervals) {
if(!intervals || intervals.length === 0) {
return new IntervalTree(null)
}
return new IntervalTree(createIntervalTree(intervals))
}
},{"binary-search-bounds":35}],190:[function(require,module,exports){
"use strict"
function invertPermutation(pi, result) {
result = result || new Array(pi.length)
for(var i=0; i<pi.length; ++i) {
result[pi[i]] = i
}
return result
}
module.exports = invertPermutation
},{}],191:[function(require,module,exports){
"use strict"
function iota(n) {
var result = new Array(n)
for(var i=0; i<n; ++i) {
result[i] = i
}
return result
}
module.exports = iota
},{}],192:[function(require,module,exports){
/*!
* Determine if an object is a Buffer
*
* @author Feross Aboukhadijeh <feross@feross.org> <http://feross.org>
* @license MIT
*/
// The _isBuffer check is for Safari 5-7 support, because it's missing
// Object.prototype.constructor. Remove this eventually
module.exports = function (obj) {
return obj != null && (isBuffer(obj) || isSlowBuffer(obj) || !!obj._isBuffer)
}
function isBuffer (obj) {
return !!obj.constructor && typeof obj.constructor.isBuffer === 'function' && obj.constructor.isBuffer(obj)
}
// For Node v0.10 support. Remove this eventually.
function isSlowBuffer (obj) {
return typeof obj.readFloatLE === 'function' && typeof obj.slice === 'function' && isBuffer(obj.slice(0, 0))
}
},{}],193:[function(require,module,exports){
'use strict'
module.exports = createTable
var chull = require('convex-hull')
function constructVertex(d, a, b) {
var x = new Array(d)
for(var i=0; i<d; ++i) {
x[i] = 0.0
if(i === a) {
x[i] += 0.5
}
if(i === b) {
x[i] += 0.5
}
}
return x
}
function constructCell(dimension, mask) {
if(mask === 0 || mask === (1<<(dimension+1))-1) {
return []
}
var points = []
var index = []
for(var i=0; i<=dimension; ++i) {
if(mask & (1<<i)) {
points.push(constructVertex(dimension, i-1, i-1))
index.push(null)
for(var j=0; j<=dimension; ++j) {
if(~mask & (1<<j)) {
points.push(constructVertex(dimension, i-1, j-1))
index.push([i,j])
}
}
}
}
//Preprocess points so first d+1 points are linearly independent
var hull = chull(points)
var faces = []
i_loop:
for(var i=0; i<hull.length; ++i) {
var face = hull[i]
var nface = []
for(var j=0; j<face.length; ++j) {
if(!index[face[j]]) {
continue i_loop
}
nface.push(index[face[j]].slice())
}
faces.push(nface)
}
return faces
}
function createTable(dimension) {
var numCells = 1<<(dimension+1)
var result = new Array(numCells)
for(var i=0; i<numCells; ++i) {
result[i] = constructCell(dimension, i)
}
return result
}
},{"convex-hull":60}],194:[function(require,module,exports){
/*jshint unused:true*/
/*
Input: matrix ; a 4x4 matrix
Output: translation ; a 3 component vector
scale ; a 3 component vector
skew ; skew factors XY,XZ,YZ represented as a 3 component vector
perspective ; a 4 component vector
quaternion ; a 4 component vector
Returns false if the matrix cannot be decomposed, true if it can
References:
https://github.com/kamicane/matrix3d/blob/master/lib/Matrix3d.js
https://github.com/ChromiumWebApps/chromium/blob/master/ui/gfx/transform_util.cc
http://www.w3.org/TR/css3-transforms/#decomposing-a-3d-matrix
*/
var normalize = require('./normalize')
var create = require('gl-mat4/create')
var clone = require('gl-mat4/clone')
var determinant = require('gl-mat4/determinant')
var invert = require('gl-mat4/invert')
var transpose = require('gl-mat4/transpose')
var vec3 = {
length: require('gl-vec3/length'),
normalize: require('gl-vec3/normalize'),
dot: require('gl-vec3/dot'),
cross: require('gl-vec3/cross')
}
var tmp = create()
var perspectiveMatrix = create()
var tmpVec4 = [0, 0, 0, 0]
var row = [ [0,0,0], [0,0,0], [0,0,0] ]
var pdum3 = [0,0,0]
module.exports = function decomposeMat4(matrix, translation, scale, skew, perspective, quaternion) {
if (!translation) translation = [0,0,0]
if (!scale) scale = [0,0,0]
if (!skew) skew = [0,0,0]
if (!perspective) perspective = [0,0,0,1]
if (!quaternion) quaternion = [0,0,0,1]
//normalize, if not possible then bail out early
if (!normalize(tmp, matrix))
return false
// perspectiveMatrix is used to solve for perspective, but it also provides
// an easy way to test for singularity of the upper 3x3 component.
clone(perspectiveMatrix, tmp)
perspectiveMatrix[3] = 0
perspectiveMatrix[7] = 0
perspectiveMatrix[11] = 0
perspectiveMatrix[15] = 1
// If the perspectiveMatrix is not invertible, we are also unable to
// decompose, so we'll bail early. Constant taken from SkMatrix44::invert.
if (Math.abs(determinant(perspectiveMatrix) < 1e-8))
return false
var a03 = tmp[3], a13 = tmp[7], a23 = tmp[11],
a30 = tmp[12], a31 = tmp[13], a32 = tmp[14], a33 = tmp[15]
// First, isolate perspective.
if (a03 !== 0 || a13 !== 0 || a23 !== 0) {
tmpVec4[0] = a03
tmpVec4[1] = a13
tmpVec4[2] = a23
tmpVec4[3] = a33
// Solve the equation by inverting perspectiveMatrix and multiplying
// rightHandSide by the inverse.
// resuing the perspectiveMatrix here since it's no longer needed
var ret = invert(perspectiveMatrix, perspectiveMatrix)
if (!ret) return false
transpose(perspectiveMatrix, perspectiveMatrix)
//multiply by transposed inverse perspective matrix, into perspective vec4
vec4multMat4(perspective, tmpVec4, perspectiveMatrix)
} else {
//no perspective
perspective[0] = perspective[1] = perspective[2] = 0
perspective[3] = 1
}
// Next take care of translation
translation[0] = a30
translation[1] = a31
translation[2] = a32
// Now get scale and shear. 'row' is a 3 element array of 3 component vectors
mat3from4(row, tmp)
// Compute X scale factor and normalize first row.
scale[0] = vec3.length(row[0])
vec3.normalize(row[0], row[0])
// Compute XY shear factor and make 2nd row orthogonal to 1st.
skew[0] = vec3.dot(row[0], row[1])
combine(row[1], row[1], row[0], 1.0, -skew[0])
// Now, compute Y scale and normalize 2nd row.
scale[1] = vec3.length(row[1])
vec3.normalize(row[1], row[1])
skew[0] /= scale[1]
// Compute XZ and YZ shears, orthogonalize 3rd row
skew[1] = vec3.dot(row[0], row[2])
combine(row[2], row[2], row[0], 1.0, -skew[1])
skew[2] = vec3.dot(row[1], row[2])
combine(row[2], row[2], row[1], 1.0, -skew[2])
// Next, get Z scale and normalize 3rd row.
scale[2] = vec3.length(row[2])
vec3.normalize(row[2], row[2])
skew[1] /= scale[2]
skew[2] /= scale[2]
// At this point, the matrix (in rows) is orthonormal.
// Check for a coordinate system flip. If the determinant
// is -1, then negate the matrix and the scaling factors.
vec3.cross(pdum3, row[1], row[2])
if (vec3.dot(row[0], pdum3) < 0) {
for (var i = 0; i < 3; i++) {
scale[i] *= -1;
row[i][0] *= -1
row[i][1] *= -1
row[i][2] *= -1
}
}
// Now, get the rotations out
quaternion[0] = 0.5 * Math.sqrt(Math.max(1 + row[0][0] - row[1][1] - row[2][2], 0))
quaternion[1] = 0.5 * Math.sqrt(Math.max(1 - row[0][0] + row[1][1] - row[2][2], 0))
quaternion[2] = 0.5 * Math.sqrt(Math.max(1 - row[0][0] - row[1][1] + row[2][2], 0))
quaternion[3] = 0.5 * Math.sqrt(Math.max(1 + row[0][0] + row[1][1] + row[2][2], 0))
if (row[2][1] > row[1][2])
quaternion[0] = -quaternion[0]
if (row[0][2] > row[2][0])
quaternion[1] = -quaternion[1]
if (row[1][0] > row[0][1])
quaternion[2] = -quaternion[2]
return true
}
//will be replaced by gl-vec4 eventually
function vec4multMat4(out, a, m) {
var x = a[0], y = a[1], z = a[2], w = a[3];
out[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w;
out[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w;
out[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w;
out[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w;
return out;
}
//gets upper-left of a 4x4 matrix into a 3x3 of vectors
function mat3from4(out, mat4x4) {
out[0][0] = mat4x4[0]
out[0][1] = mat4x4[1]
out[0][2] = mat4x4[2]
out[1][0] = mat4x4[4]
out[1][1] = mat4x4[5]
out[1][2] = mat4x4[6]
out[2][0] = mat4x4[8]
out[2][1] = mat4x4[9]
out[2][2] = mat4x4[10]
}
function combine(out, a, b, scale1, scale2) {
out[0] = a[0] * scale1 + b[0] * scale2
out[1] = a[1] * scale1 + b[1] * scale2
out[2] = a[2] * scale1 + b[2] * scale2
}
},{"./normalize":195,"gl-mat4/clone":88,"gl-mat4/create":89,"gl-mat4/determinant":90,"gl-mat4/invert":94,"gl-mat4/transpose":104,"gl-vec3/cross":126,"gl-vec3/dot":129,"gl-vec3/length":134,"gl-vec3/normalize":140}],195:[function(require,module,exports){
module.exports = function normalize(out, mat) {
var m44 = mat[15]
// Cannot normalize.
if (m44 === 0)
return false
var scale = 1 / m44
for (var i=0; i<16; i++)
out[i] = mat[i] * scale
return true
}
},{}],196:[function(require,module,exports){
var lerp = require('gl-vec3/lerp')
var recompose = require('mat4-recompose')
var decompose = require('mat4-decompose')
var determinant = require('gl-mat4/determinant')
var slerp = require('quat-slerp')
var state0 = state()
var state1 = state()
var tmp = state()
module.exports = interpolate
function interpolate(out, start, end, alpha) {
if (determinant(start) === 0 || determinant(end) === 0)
return false
//decompose the start and end matrices into individual components
var r0 = decompose(start, state0.translate, state0.scale, state0.skew, state0.perspective, state0.quaternion)
var r1 = decompose(end, state1.translate, state1.scale, state1.skew, state1.perspective, state1.quaternion)
if (!r0 || !r1)
return false
//now lerp/slerp the start and end components into a temporary lerp(tmptranslate, state0.translate, state1.translate, alpha)
lerp(tmp.translate, state0.translate, state1.translate, alpha)
lerp(tmp.skew, state0.skew, state1.skew, alpha)
lerp(tmp.scale, state0.scale, state1.scale, alpha)
lerp(tmp.perspective, state0.perspective, state1.perspective, alpha)
slerp(tmp.quaternion, state0.quaternion, state1.quaternion, alpha)
//and recompose into our 'out' matrix
recompose(out, tmp.translate, tmp.scale, tmp.skew, tmp.perspective, tmp.quaternion)
return true
}
function state() {
return {
translate: vec3(),
scale: vec3(1),
skew: vec3(),
perspective: vec4(),
quaternion: vec4()
}
}
function vec3(n) {
return [n||0,n||0,n||0]
}
function vec4() {
return [0,0,0,1]
}
},{"gl-mat4/determinant":90,"gl-vec3/lerp":135,"mat4-decompose":194,"mat4-recompose":197,"quat-slerp":222}],197:[function(require,module,exports){
/*
Input: translation ; a 3 component vector
scale ; a 3 component vector
skew ; skew factors XY,XZ,YZ represented as a 3 component vector
perspective ; a 4 component vector
quaternion ; a 4 component vector
Output: matrix ; a 4x4 matrix
From: http://www.w3.org/TR/css3-transforms/#recomposing-to-a-3d-matrix
*/
var mat4 = {
identity: require('gl-mat4/identity'),
translate: require('gl-mat4/translate'),
multiply: require('gl-mat4/multiply'),
create: require('gl-mat4/create'),
scale: require('gl-mat4/scale'),
fromRotationTranslation: require('gl-mat4/fromRotationTranslation')
}
var rotationMatrix = mat4.create()
var temp = mat4.create()
module.exports = function recomposeMat4(matrix, translation, scale, skew, perspective, quaternion) {
mat4.identity(matrix)
//apply translation & rotation
mat4.fromRotationTranslation(matrix, quaternion, translation)
//apply perspective
matrix[3] = perspective[0]
matrix[7] = perspective[1]
matrix[11] = perspective[2]
matrix[15] = perspective[3]
// apply skew
// temp is a identity 4x4 matrix initially
mat4.identity(temp)
if (skew[2] !== 0) {
temp[9] = skew[2]
mat4.multiply(matrix, matrix, temp)
}
if (skew[1] !== 0) {
temp[9] = 0
temp[8] = skew[1]
mat4.multiply(matrix, matrix, temp)
}
if (skew[0] !== 0) {
temp[8] = 0
temp[4] = skew[0]
mat4.multiply(matrix, matrix, temp)
}
//apply scale
mat4.scale(matrix, matrix, scale)
return matrix
}
},{"gl-mat4/create":89,"gl-mat4/fromRotationTranslation":92,"gl-mat4/identity":93,"gl-mat4/multiply":96,"gl-mat4/scale":102,"gl-mat4/translate":103}],198:[function(require,module,exports){
'use strict'
var bsearch = require('binary-search-bounds')
var m4interp = require('mat4-interpolate')
var invert44 = require('gl-mat4/invert')
var rotateX = require('gl-mat4/rotateX')
var rotateY = require('gl-mat4/rotateY')
var rotateZ = require('gl-mat4/rotateZ')
var lookAt = require('gl-mat4/lookAt')
var translate = require('gl-mat4/translate')
var scale = require('gl-mat4/scale')
var normalize = require('gl-vec3/normalize')
var DEFAULT_CENTER = [0,0,0]
module.exports = createMatrixCameraController
function MatrixCameraController(initialMatrix) {
this._components = initialMatrix.slice()
this._time = [0]
this.prevMatrix = initialMatrix.slice()
this.nextMatrix = initialMatrix.slice()
this.computedMatrix = initialMatrix.slice()
this.computedInverse = initialMatrix.slice()
this.computedEye = [0,0,0]
this.computedUp = [0,0,0]
this.computedCenter = [0,0,0]
this.computedRadius = [0]
this._limits = [-Infinity, Infinity]
}
var proto = MatrixCameraController.prototype
proto.recalcMatrix = function(t) {
var time = this._time
var tidx = bsearch.le(time, t)
var mat = this.computedMatrix
if(tidx < 0) {
return
}
var comps = this._components
if(tidx === time.length-1) {
var ptr = 16*tidx
for(var i=0; i<16; ++i) {
mat[i] = comps[ptr++]
}
} else {
var dt = (time[tidx+1] - time[tidx])
var ptr = 16*tidx
var prev = this.prevMatrix
var allEqual = true
for(var i=0; i<16; ++i) {
prev[i] = comps[ptr++]
}
var next = this.nextMatrix
for(var i=0; i<16; ++i) {
next[i] = comps[ptr++]
allEqual = allEqual && (prev[i] === next[i])
}
if(dt < 1e-6 || allEqual) {
for(var i=0; i<16; ++i) {
mat[i] = prev[i]
}
} else {
m4interp(mat, prev, next, (t - time[tidx])/dt)
}
}
var up = this.computedUp
up[0] = mat[1]
up[1] = mat[5]
up[2] = mat[9]
normalize(up, up)
var imat = this.computedInverse
invert44(imat, mat)
var eye = this.computedEye
var w = imat[15]
eye[0] = imat[12]/w
eye[1] = imat[13]/w
eye[2] = imat[14]/w
var center = this.computedCenter
var radius = Math.exp(this.computedRadius[0])
for(var i=0; i<3; ++i) {
center[i] = eye[i] - mat[2+4*i] * radius
}
}
proto.idle = function(t) {
if(t < this.lastT()) {
return
}
var mc = this._components
var ptr = mc.length-16
for(var i=0; i<16; ++i) {
mc.push(mc[ptr++])
}
this._time.push(t)
}
proto.flush = function(t) {
var idx = bsearch.gt(this._time, t) - 2
if(idx < 0) {
return
}
this._time.splice(0, idx)
this._components.splice(0, 16*idx)
}
proto.lastT = function() {
return this._time[this._time.length-1]
}
proto.lookAt = function(t, eye, center, up) {
this.recalcMatrix(t)
eye = eye || this.computedEye
center = center || DEFAULT_CENTER
up = up || this.computedUp
this.setMatrix(t, lookAt(this.computedMatrix, eye, center, up))
var d2 = 0.0
for(var i=0; i<3; ++i) {
d2 += Math.pow(center[i] - eye[i], 2)
}
d2 = Math.log(Math.sqrt(d2))
this.computedRadius[0] = d2
}
proto.rotate = function(t, yaw, pitch, roll) {
this.recalcMatrix(t)
var mat = this.computedInverse
if(yaw) rotateY(mat, mat, yaw)
if(pitch) rotateX(mat, mat, pitch)
if(roll) rotateZ(mat, mat, roll)
this.setMatrix(t, invert44(this.computedMatrix, mat))
}
var tvec = [0,0,0]
proto.pan = function(t, dx, dy, dz) {
tvec[0] = -(dx || 0.0)
tvec[1] = -(dy || 0.0)
tvec[2] = -(dz || 0.0)
this.recalcMatrix(t)
var mat = this.computedInverse
translate(mat, mat, tvec)
this.setMatrix(t, invert44(mat, mat))
}
proto.translate = function(t, dx, dy, dz) {
tvec[0] = dx || 0.0
tvec[1] = dy || 0.0
tvec[2] = dz || 0.0
this.recalcMatrix(t)
var mat = this.computedMatrix
translate(mat, mat, tvec)
this.setMatrix(t, mat)
}
proto.setMatrix = function(t, mat) {
if(t < this.lastT()) {
return
}
this._time.push(t)
for(var i=0; i<16; ++i) {
this._components.push(mat[i])
}
}
proto.setDistance = function(t, d) {
this.computedRadius[0] = d
}
proto.setDistanceLimits = function(a,b) {
var lim = this._limits
lim[0] = a
lim[1] = b
}
proto.getDistanceLimits = function(out) {
var lim = this._limits
if(out) {
out[0] = lim[0]
out[1] = lim[1]
return out
}
return lim
}
function createMatrixCameraController(options) {
options = options || {}
var matrix = options.matrix ||
[1,0,0,0,
0,1,0,0,
0,0,1,0,
0,0,0,1]
return new MatrixCameraController(matrix)
}
},{"binary-search-bounds":35,"gl-mat4/invert":94,"gl-mat4/lookAt":95,"gl-mat4/rotateX":99,"gl-mat4/rotateY":100,"gl-mat4/rotateZ":101,"gl-mat4/scale":102,"gl-mat4/translate":103,"gl-vec3/normalize":140,"mat4-interpolate":196}],199:[function(require,module,exports){
'use strict'
module.exports = monotoneConvexHull2D
var orient = require('robust-orientation')[3]
function monotoneConvexHull2D(points) {
var n = points.length
if(n < 3) {
var result = new Array(n)
for(var i=0; i<n; ++i) {
result[i] = i
}
if(n === 2 &&
points[0][0] === points[1][0] &&
points[0][1] === points[1][1]) {
return [0]
}
return result
}
//Sort point indices along x-axis
var sorted = new Array(n)
for(var i=0; i<n; ++i) {
sorted[i] = i
}
sorted.sort(function(a,b) {
var d = points[a][0]-points[b][0]
if(d) {
return d
}
return points[a][1] - points[b][1]
})
//Construct upper and lower hulls
var lower = [sorted[0], sorted[1]]
var upper = [sorted[0], sorted[1]]
for(var i=2; i<n; ++i) {
var idx = sorted[i]
var p = points[idx]
//Insert into lower list
var m = lower.length
while(m > 1 && orient(
points[lower[m-2]],
points[lower[m-1]],
p) <= 0) {
m -= 1
lower.pop()
}
lower.push(idx)
//Insert into upper list
m = upper.length
while(m > 1 && orient(
points[upper[m-2]],
points[upper[m-1]],
p) >= 0) {
m -= 1
upper.pop()
}
upper.push(idx)
}
//Merge lists together
var result = new Array(upper.length + lower.length - 2)
var ptr = 0
for(var i=0, nl=lower.length; i<nl; ++i) {
result[ptr++] = lower[i]
}
for(var j=upper.length-2; j>0; --j) {
result[ptr++] = upper[j]
}
//Return result
return result
}
},{"robust-orientation":234}],200:[function(require,module,exports){
'use strict'
module.exports = mouseListen
var mouse = require('mouse-event')
function mouseListen (element, callback) {
if (!callback) {
callback = element
element = window
}
var buttonState = 0
var x = 0
var y = 0
var mods = {
shift: false,
alt: false,
control: false,
meta: false
}
var attached = false
function updateMods (ev) {
var changed = false
if ('altKey' in ev) {
changed = changed || ev.altKey !== mods.alt
mods.alt = !!ev.altKey
}
if ('shiftKey' in ev) {
changed = changed || ev.shiftKey !== mods.shift
mods.shift = !!ev.shiftKey
}
if ('ctrlKey' in ev) {
changed = changed || ev.ctrlKey !== mods.control
mods.control = !!ev.ctrlKey
}
if ('metaKey' in ev) {
changed = changed || ev.metaKey !== mods.meta
mods.meta = !!ev.metaKey
}
return changed
}
function handleEvent (nextButtons, ev) {
var nextX = mouse.x(ev)
var nextY = mouse.y(ev)
if ('buttons' in ev) {
nextButtons = ev.buttons | 0
}
if (nextButtons !== buttonState ||
nextX !== x ||
nextY !== y ||
updateMods(ev)) {
buttonState = nextButtons | 0
x = nextX || 0
y = nextY || 0
callback && callback(buttonState, x, y, mods)
}
}
function clearState (ev) {
handleEvent(0, ev)
}
function handleBlur () {
if (buttonState ||
x ||
y ||
mods.shift ||
mods.alt ||
mods.meta ||
mods.control) {
x = y = 0
buttonState = 0
mods.shift = mods.alt = mods.control = mods.meta = false
callback && callback(0, 0, 0, mods)
}
}
function handleMods (ev) {
if (updateMods(ev)) {
callback && callback(buttonState, x, y, mods)
}
}
function handleMouseMove (ev) {
if (mouse.buttons(ev) === 0) {
handleEvent(0, ev)
} else {
handleEvent(buttonState, ev)
}
}
function handleMouseDown (ev) {
handleEvent(buttonState | mouse.buttons(ev), ev)
}
function handleMouseUp (ev) {
handleEvent(buttonState & ~mouse.buttons(ev), ev)
}
function attachListeners () {
if (attached) {
return
}
attached = true
element.addEventListener('mousemove', handleMouseMove)
element.addEventListener('mousedown', handleMouseDown)
element.addEventListener('mouseup', handleMouseUp)
element.addEventListener('mouseleave', clearState)
element.addEventListener('mouseenter', clearState)
element.addEventListener('mouseout', clearState)
element.addEventListener('mouseover', clearState)
element.addEventListener('blur', handleBlur)
element.addEventListener('keyup', handleMods)
element.addEventListener('keydown', handleMods)
element.addEventListener('keypress', handleMods)
if (element !== window) {
window.addEventListener('blur', handleBlur)
window.addEventListener('keyup', handleMods)
window.addEventListener('keydown', handleMods)
window.addEventListener('keypress', handleMods)
}
}
function detachListeners () {
if (!attached) {
return
}
attached = false
element.removeEventListener('mousemove', handleMouseMove)
element.removeEventListener('mousedown', handleMouseDown)
element.removeEventListener('mouseup', handleMouseUp)
element.removeEventListener('mouseleave', clearState)
element.removeEventListener('mouseenter', clearState)
element.removeEventListener('mouseout', clearState)
element.removeEventListener('mouseover', clearState)
element.removeEventListener('blur', handleBlur)
element.removeEventListener('keyup', handleMods)
element.removeEventListener('keydown', handleMods)
element.removeEventListener('keypress', handleMods)
if (element !== window) {
window.removeEventListener('blur', handleBlur)
window.removeEventListener('keyup', handleMods)
window.removeEventListener('keydown', handleMods)
window.removeEventListener('keypress', handleMods)
}
}
// Attach listeners
attachListeners()
var result = {
element: element
}
Object.defineProperties(result, {
enabled: {
get: function () { return attached },
set: function (f) {
if (f) {
attachListeners()
} else {
detachListeners()
}
},
enumerable: true
},
buttons: {
get: function () { return buttonState },
enumerable: true
},
x: {
get: function () { return x },
enumerable: true
},
y: {
get: function () { return y },
enumerable: true
},
mods: {
get: function () { return mods },
enumerable: true
}
})
return result
}
},{"mouse-event":202}],201:[function(require,module,exports){
var rootPosition = { left: 0, top: 0 }
module.exports = mouseEventOffset
function mouseEventOffset (ev, target, out) {
target = target || ev.currentTarget || ev.srcElement
if (!Array.isArray(out)) {
out = [ 0, 0 ]
}
var cx = ev.clientX || 0
var cy = ev.clientY || 0
var rect = getBoundingClientOffset(target)
out[0] = cx - rect.left
out[1] = cy - rect.top
return out
}
function getBoundingClientOffset (element) {
if (element === window ||
element === document ||
element === document.body) {
return rootPosition
} else {
return element.getBoundingClientRect()
}
}
},{}],202:[function(require,module,exports){
'use strict'
function mouseButtons(ev) {
if(typeof ev === 'object') {
if('buttons' in ev) {
return ev.buttons
} else if('which' in ev) {
var b = ev.which
if(b === 2) {
return 4
} else if(b === 3) {
return 2
} else if(b > 0) {
return 1<<(b-1)
}
} else if('button' in ev) {
var b = ev.button
if(b === 1) {
return 4
} else if(b === 2) {
return 2
} else if(b >= 0) {
return 1<<b
}
}
}
return 0
}
exports.buttons = mouseButtons
function mouseElement(ev) {
return ev.target || ev.srcElement || window
}
exports.element = mouseElement
function mouseRelativeX(ev) {
if(typeof ev === 'object') {
if('offsetX' in ev) {
return ev.offsetX
}
var target = mouseElement(ev)
var bounds = target.getBoundingClientRect()
return ev.clientX - bounds.left
}
return 0
}
exports.x = mouseRelativeX
function mouseRelativeY(ev) {
if(typeof ev === 'object') {
if('offsetY' in ev) {
return ev.offsetY
}
var target = mouseElement(ev)
var bounds = target.getBoundingClientRect()
return ev.clientY - bounds.top
}
return 0
}
exports.y = mouseRelativeY
},{}],203:[function(require,module,exports){
'use strict'
var toPX = require('to-px')
module.exports = mouseWheelListen
function mouseWheelListen(element, callback, noScroll) {
if(typeof element === 'function') {
noScroll = !!callback
callback = element
element = window
}
var lineHeight = toPX('ex', element)
var listener = function(ev) {
if(noScroll) {
ev.preventDefault()
}
var dx = ev.deltaX || 0
var dy = ev.deltaY || 0
var dz = ev.deltaZ || 0
var mode = ev.deltaMode
var scale = 1
switch(mode) {
case 1:
scale = lineHeight
break
case 2:
scale = window.innerHeight
break
}
dx *= scale
dy *= scale
dz *= scale
if(dx || dy || dz) {
return callback(dx, dy, dz, ev)
}
}
element.addEventListener('wheel', listener)
return listener
}
},{"to-px":252}],204:[function(require,module,exports){
"use strict"
var pool = require("typedarray-pool")
module.exports = createSurfaceExtractor
//Helper macros
function array(i) {
return "a" + i
}
function data(i) {
return "d" + i
}
function cube(i,bitmask) {
return "c" + i + "_" + bitmask
}
function shape(i) {
return "s" + i
}
function stride(i,j) {
return "t" + i + "_" + j
}
function offset(i) {
return "o" + i
}
function scalar(i) {
return "x" + i
}
function pointer(i) {
return "p" + i
}
function delta(i,bitmask) {
return "d" + i + "_" + bitmask
}
function index(i) {
return "i" + i
}
function step(i,j) {
return "u" + i + "_" + j
}
function pcube(bitmask) {
return "b" + bitmask
}
function qcube(bitmask) {
return "y" + bitmask
}
function pdelta(bitmask) {
return "e" + bitmask
}
function vert(i) {
return "v" + i
}
var VERTEX_IDS = "V"
var PHASES = "P"
var VERTEX_COUNT = "N"
var POOL_SIZE = "Q"
var POINTER = "X"
var TEMPORARY = "T"
function permBitmask(dimension, mask, order) {
var r = 0
for(var i=0; i<dimension; ++i) {
if(mask & (1<<i)) {
r |= (1<<order[i])
}
}
return r
}
//Generates the surface procedure
function compileSurfaceProcedure(vertexFunc, faceFunc, phaseFunc, scalarArgs, order, typesig) {
var arrayArgs = typesig.length
var dimension = order.length
if(dimension < 2) {
throw new Error("ndarray-extract-contour: Dimension must be at least 2")
}
var funcName = "extractContour" + order.join("_")
var code = []
var vars = []
var args = []
//Assemble arguments
for(var i=0; i<arrayArgs; ++i) {
args.push(array(i))
}
for(var i=0; i<scalarArgs; ++i) {
args.push(scalar(i))
}
//Shape
for(var i=0; i<dimension; ++i) {
vars.push(shape(i) + "=" + array(0) + ".shape[" + i + "]|0")
}
//Data, stride, offset pointers
for(var i=0; i<arrayArgs; ++i) {
vars.push(data(i) + "=" + array(i) + ".data",
offset(i) + "=" + array(i) + ".offset|0")
for(var j=0; j<dimension; ++j) {
vars.push(stride(i,j) + "=" + array(i) + ".stride[" + j + "]|0")
}
}
//Pointer, delta and cube variables
for(var i=0; i<arrayArgs; ++i) {
vars.push(pointer(i) + "=" + offset(i))
vars.push(cube(i,0))
for(var j=1; j<(1<<dimension); ++j) {
var ptrStr = []
for(var k=0; k<dimension; ++k) {
if(j & (1<<k)) {
ptrStr.push("-" + stride(i,k))
}
}
vars.push(delta(i,j) + "=(" + ptrStr.join("") + ")|0")
vars.push(cube(i,j) + "=0")
}
}
//Create step variables
for(var i=0; i<arrayArgs; ++i) {
for(var j=0; j<dimension; ++j) {
var stepVal = [ stride(i,order[j]) ]
if(j > 0) {
stepVal.push(stride(i, order[j-1]) + "*" + shape(order[j-1]) )
}
vars.push(step(i,order[j]) + "=(" + stepVal.join("-") + ")|0")
}
}
//Create index variables
for(var i=0; i<dimension; ++i) {
vars.push(index(i) + "=0")
}
//Vertex count
vars.push(VERTEX_COUNT + "=0")
//Compute pool size, initialize pool step
var sizeVariable = ["2"]
for(var i=dimension-2; i>=0; --i) {
sizeVariable.push(shape(order[i]))
}
//Previous phases and vertex_ids
vars.push(POOL_SIZE + "=(" + sizeVariable.join("*") + ")|0",
PHASES + "=mallocUint32(" + POOL_SIZE + ")",
VERTEX_IDS + "=mallocUint32(" + POOL_SIZE + ")",
POINTER + "=0")
//Create cube variables for phases
vars.push(pcube(0) + "=0")
for(var j=1; j<(1<<dimension); ++j) {
var cubeDelta = []
var cubeStep = [ ]
for(var k=0; k<dimension; ++k) {
if(j & (1<<k)) {
if(cubeStep.length === 0) {
cubeDelta.push("1")
} else {
cubeDelta.unshift(cubeStep.join("*"))
}
}
cubeStep.push(shape(order[k]))
}
var signFlag = ""
if(cubeDelta[0].indexOf(shape(order[dimension-2])) < 0) {
signFlag = "-"
}
var jperm = permBitmask(dimension, j, order)
vars.push(pdelta(jperm) + "=(-" + cubeDelta.join("-") + ")|0",
qcube(jperm) + "=(" + signFlag + cubeDelta.join("-") + ")|0",
pcube(jperm) + "=0")
}
vars.push(vert(0) + "=0", TEMPORARY + "=0")
function forLoopBegin(i, start) {
code.push("for(", index(order[i]), "=", start, ";",
index(order[i]), "<", shape(order[i]), ";",
"++", index(order[i]), "){")
}
function forLoopEnd(i) {
for(var j=0; j<arrayArgs; ++j) {
code.push(pointer(j), "+=", step(j,order[i]), ";")
}
code.push("}")
}
function fillEmptySlice(k) {
for(var i=k-1; i>=0; --i) {
forLoopBegin(i, 0)
}
var phaseFuncArgs = []
for(var i=0; i<arrayArgs; ++i) {
if(typesig[i]) {
phaseFuncArgs.push(data(i) + ".get(" + pointer(i) + ")")
} else {
phaseFuncArgs.push(data(i) + "[" + pointer(i) + "]")
}
}
for(var i=0; i<scalarArgs; ++i) {
phaseFuncArgs.push(scalar(i))
}
code.push(PHASES, "[", POINTER, "++]=phase(", phaseFuncArgs.join(), ");")
for(var i=0; i<k; ++i) {
forLoopEnd(i)
}
for(var j=0; j<arrayArgs; ++j) {
code.push(pointer(j), "+=", step(j,order[k]), ";")
}
}
function processGridCell(mask) {
//Read in local data
for(var i=0; i<arrayArgs; ++i) {
if(typesig[i]) {
code.push(cube(i,0), "=", data(i), ".get(", pointer(i), ");")
} else {
code.push(cube(i,0), "=", data(i), "[", pointer(i), "];")
}
}
//Read in phase
var phaseFuncArgs = []
for(var i=0; i<arrayArgs; ++i) {
phaseFuncArgs.push(cube(i,0))
}
for(var i=0; i<scalarArgs; ++i) {
phaseFuncArgs.push(scalar(i))
}
code.push(pcube(0), "=", PHASES, "[", POINTER, "]=phase(", phaseFuncArgs.join(), ");")
//Read in other cube data
for(var j=1; j<(1<<dimension); ++j) {
code.push(pcube(j), "=", PHASES, "[", POINTER, "+", pdelta(j), "];")
}
//Check for boundary crossing
var vertexPredicate = []
for(var j=1; j<(1<<dimension); ++j) {
vertexPredicate.push("(" + pcube(0) + "!==" + pcube(j) + ")")
}
code.push("if(", vertexPredicate.join("||"), "){")
//Read in boundary data
var vertexArgs = []
for(var i=0; i<dimension; ++i) {
vertexArgs.push(index(i))
}
for(var i=0; i<arrayArgs; ++i) {
vertexArgs.push(cube(i,0))
for(var j=1; j<(1<<dimension); ++j) {
if(typesig[i]) {
code.push(cube(i,j), "=", data(i), ".get(", pointer(i), "+", delta(i,j), ");")
} else {
code.push(cube(i,j), "=", data(i), "[", pointer(i), "+", delta(i,j), "];")
}
vertexArgs.push(cube(i,j))
}
}
for(var i=0; i<(1<<dimension); ++i) {
vertexArgs.push(pcube(i))
}
for(var i=0; i<scalarArgs; ++i) {
vertexArgs.push(scalar(i))
}
//Generate vertex
code.push("vertex(", vertexArgs.join(), ");",
vert(0), "=", VERTEX_IDS, "[", POINTER, "]=", VERTEX_COUNT, "++;")
//Check for face crossings
var base = (1<<dimension)-1
var corner = pcube(base)
for(var j=0; j<dimension; ++j) {
if((mask & ~(1<<j))===0) {
//Check face
var subset = base^(1<<j)
var edge = pcube(subset)
var faceArgs = [ ]
for(var k=subset; k>0; k=(k-1)&subset) {
faceArgs.push(VERTEX_IDS + "[" + POINTER + "+" + pdelta(k) + "]")
}
faceArgs.push(vert(0))
for(var k=0; k<arrayArgs; ++k) {
if(j&1) {
faceArgs.push(cube(k,base), cube(k,subset))
} else {
faceArgs.push(cube(k,subset), cube(k,base))
}
}
if(j&1) {
faceArgs.push(corner, edge)
} else {
faceArgs.push(edge, corner)
}
for(var k=0; k<scalarArgs; ++k) {
faceArgs.push(scalar(k))
}
code.push("if(", corner, "!==", edge, "){",
"face(", faceArgs.join(), ")}")
}
}
//Increment pointer, close off if statement
code.push("}",
POINTER, "+=1;")
}
function flip() {
for(var j=1; j<(1<<dimension); ++j) {
code.push(TEMPORARY, "=", pdelta(j), ";",
pdelta(j), "=", qcube(j), ";",
qcube(j), "=", TEMPORARY, ";")
}
}
function createLoop(i, mask) {
if(i < 0) {
processGridCell(mask)
return
}
fillEmptySlice(i)
code.push("if(", shape(order[i]), ">0){",
index(order[i]), "=1;")
createLoop(i-1, mask|(1<<order[i]))
for(var j=0; j<arrayArgs; ++j) {
code.push(pointer(j), "+=", step(j,order[i]), ";")
}
if(i === dimension-1) {
code.push(POINTER, "=0;")
flip()
}
forLoopBegin(i, 2)
createLoop(i-1, mask)
if(i === dimension-1) {
code.push("if(", index(order[dimension-1]), "&1){",
POINTER, "=0;}")
flip()
}
forLoopEnd(i)
code.push("}")
}
createLoop(dimension-1, 0)
//Release scratch memory
code.push("freeUint32(", VERTEX_IDS, ");freeUint32(", PHASES, ");")
//Compile and link procedure
var procedureCode = [
"'use strict';",
"function ", funcName, "(", args.join(), "){",
"var ", vars.join(), ";",
code.join(""),
"}",
"return ", funcName ].join("")
var proc = new Function(
"vertex",
"face",
"phase",
"mallocUint32",
"freeUint32",
procedureCode)
return proc(
vertexFunc,
faceFunc,
phaseFunc,
pool.mallocUint32,
pool.freeUint32)
}
function createSurfaceExtractor(args) {
function error(msg) {
throw new Error("ndarray-extract-contour: " + msg)
}
if(typeof args !== "object") {
error("Must specify arguments")
}
var order = args.order
if(!Array.isArray(order)) {
error("Must specify order")
}
var arrays = args.arrayArguments||1
if(arrays < 1) {
error("Must have at least one array argument")
}
var scalars = args.scalarArguments||0
if(scalars < 0) {
error("Scalar arg count must be > 0")
}
if(typeof args.vertex !== "function") {
error("Must specify vertex creation function")
}
if(typeof args.cell !== "function") {
error("Must specify cell creation function")
}
if(typeof args.phase !== "function") {
error("Must specify phase function")
}
var getters = args.getters || []
var typesig = new Array(arrays)
for(var i=0; i<arrays; ++i) {
if(getters.indexOf(i) >= 0) {
typesig[i] = true
} else {
typesig[i] = false
}
}
return compileSurfaceProcedure(
args.vertex,
args.cell,
args.phase,
scalars,
order,
typesig)
}
},{"typedarray-pool":257}],205:[function(require,module,exports){
"use strict"
var compile = require("cwise-compiler")
var EmptyProc = {
body: "",
args: [],
thisVars: [],
localVars: []
}
function fixup(x) {
if(!x) {
return EmptyProc
}
for(var i=0; i<x.args.length; ++i) {
var a = x.args[i]
if(i === 0) {
x.args[i] = {name: a, lvalue:true, rvalue: !!x.rvalue, count:x.count||1 }
} else {
x.args[i] = {name: a, lvalue:false, rvalue:true, count: 1}
}
}
if(!x.thisVars) {
x.thisVars = []
}
if(!x.localVars) {
x.localVars = []
}
return x
}
function pcompile(user_args) {
return compile({
args: user_args.args,
pre: fixup(user_args.pre),
body: fixup(user_args.body),
post: fixup(user_args.proc),
funcName: user_args.funcName
})
}
function makeOp(user_args) {
var args = []
for(var i=0; i<user_args.args.length; ++i) {
args.push("a"+i)
}
var wrapper = new Function("P", [
"return function ", user_args.funcName, "_ndarrayops(", args.join(","), ") {P(", args.join(","), ");return a0}"
].join(""))
return wrapper(pcompile(user_args))
}
var assign_ops = {
add: "+",
sub: "-",
mul: "*",
div: "/",
mod: "%",
band: "&",
bor: "|",
bxor: "^",
lshift: "<<",
rshift: ">>",
rrshift: ">>>"
}
;(function(){
for(var id in assign_ops) {
var op = assign_ops[id]
exports[id] = makeOp({
args: ["array","array","array"],
body: {args:["a","b","c"],
body: "a=b"+op+"c"},
funcName: id
})
exports[id+"eq"] = makeOp({
args: ["array","array"],
body: {args:["a","b"],
body:"a"+op+"=b"},
rvalue: true,
funcName: id+"eq"
})
exports[id+"s"] = makeOp({
args: ["array", "array", "scalar"],
body: {args:["a","b","s"],
body:"a=b"+op+"s"},
funcName: id+"s"
})
exports[id+"seq"] = makeOp({
args: ["array","scalar"],
body: {args:["a","s"],
body:"a"+op+"=s"},
rvalue: true,
funcName: id+"seq"
})
}
})();
var unary_ops = {
not: "!",
bnot: "~",
neg: "-",
recip: "1.0/"
}
;(function(){
for(var id in unary_ops) {
var op = unary_ops[id]
exports[id] = makeOp({
args: ["array", "array"],
body: {args:["a","b"],
body:"a="+op+"b"},
funcName: id
})
exports[id+"eq"] = makeOp({
args: ["array"],
body: {args:["a"],
body:"a="+op+"a"},
rvalue: true,
count: 2,
funcName: id+"eq"
})
}
})();
var binary_ops = {
and: "&&",
or: "||",
eq: "===",
neq: "!==",
lt: "<",
gt: ">",
leq: "<=",
geq: ">="
}
;(function() {
for(var id in binary_ops) {
var op = binary_ops[id]
exports[id] = makeOp({
args: ["array","array","array"],
body: {args:["a", "b", "c"],
body:"a=b"+op+"c"},
funcName: id
})
exports[id+"s"] = makeOp({
args: ["array","array","scalar"],
body: {args:["a", "b", "s"],
body:"a=b"+op+"s"},
funcName: id+"s"
})
exports[id+"eq"] = makeOp({
args: ["array", "array"],
body: {args:["a", "b"],
body:"a=a"+op+"b"},
rvalue:true,
count:2,
funcName: id+"eq"
})
exports[id+"seq"] = makeOp({
args: ["array", "scalar"],
body: {args:["a","s"],
body:"a=a"+op+"s"},
rvalue:true,
count:2,
funcName: id+"seq"
})
}
})();
var math_unary = [
"abs",
"acos",
"asin",
"atan",
"ceil",
"cos",
"exp",
"floor",
"log",
"round",
"sin",
"sqrt",
"tan"
]
;(function() {
for(var i=0; i<math_unary.length; ++i) {
var f = math_unary[i]
exports[f] = makeOp({
args: ["array", "array"],
pre: {args:[], body:"this_f=Math."+f, thisVars:["this_f"]},
body: {args:["a","b"], body:"a=this_f(b)", thisVars:["this_f"]},
funcName: f
})
exports[f+"eq"] = makeOp({
args: ["array"],
pre: {args:[], body:"this_f=Math."+f, thisVars:["this_f"]},
body: {args: ["a"], body:"a=this_f(a)", thisVars:["this_f"]},
rvalue: true,
count: 2,
funcName: f+"eq"
})
}
})();
var math_comm = [
"max",
"min",
"atan2",
"pow"
]
;(function(){
for(var i=0; i<math_comm.length; ++i) {
var f= math_comm[i]
exports[f] = makeOp({
args:["array", "array", "array"],
pre: {args:[], body:"this_f=Math."+f, thisVars:["this_f"]},
body: {args:["a","b","c"], body:"a=this_f(b,c)", thisVars:["this_f"]},
funcName: f
})
exports[f+"s"] = makeOp({
args:["array", "array", "scalar"],
pre: {args:[], body:"this_f=Math."+f, thisVars:["this_f"]},
body: {args:["a","b","c"], body:"a=this_f(b,c)", thisVars:["this_f"]},
funcName: f+"s"
})
exports[f+"eq"] = makeOp({ args:["array", "array"],
pre: {args:[], body:"this_f=Math."+f, thisVars:["this_f"]},
body: {args:["a","b"], body:"a=this_f(a,b)", thisVars:["this_f"]},
rvalue: true,
count: 2,
funcName: f+"eq"
})
exports[f+"seq"] = makeOp({ args:["array", "scalar"],
pre: {args:[], body:"this_f=Math."+f, thisVars:["this_f"]},
body: {args:["a","b"], body:"a=this_f(a,b)", thisVars:["this_f"]},
rvalue:true,
count:2,
funcName: f+"seq"
})
}
})();
var math_noncomm = [
"atan2",
"pow"
]
;(function(){
for(var i=0; i<math_noncomm.length; ++i) {
var f= math_noncomm[i]
exports[f+"op"] = makeOp({
args:["array", "array", "array"],
pre: {args:[], body:"this_f=Math."+f, thisVars:["this_f"]},
body: {args:["a","b","c"], body:"a=this_f(c,b)", thisVars:["this_f"]},
funcName: f+"op"
})
exports[f+"ops"] = makeOp({
args:["array", "array", "scalar"],
pre: {args:[], body:"this_f=Math."+f, thisVars:["this_f"]},
body: {args:["a","b","c"], body:"a=this_f(c,b)", thisVars:["this_f"]},
funcName: f+"ops"
})
exports[f+"opeq"] = makeOp({ args:["array", "array"],
pre: {args:[], body:"this_f=Math."+f, thisVars:["this_f"]},
body: {args:["a","b"], body:"a=this_f(b,a)", thisVars:["this_f"]},
rvalue: true,
count: 2,
funcName: f+"opeq"
})
exports[f+"opseq"] = makeOp({ args:["array", "scalar"],
pre: {args:[], body:"this_f=Math."+f, thisVars:["this_f"]},
body: {args:["a","b"], body:"a=this_f(b,a)", thisVars:["this_f"]},
rvalue:true,
count:2,
funcName: f+"opseq"
})
}
})();
exports.any = compile({
args:["array"],
pre: EmptyProc,
body: {args:[{name:"a", lvalue:false, rvalue:true, count:1}], body: "if(a){return true}", localVars: [], thisVars: []},
post: {args:[], localVars:[], thisVars:[], body:"return false"},
funcName: "any"
})
exports.all = compile({
args:["array"],
pre: EmptyProc,
body: {args:[{name:"x", lvalue:false, rvalue:true, count:1}], body: "if(!x){return false}", localVars: [], thisVars: []},
post: {args:[], localVars:[], thisVars:[], body:"return true"},
funcName: "all"
})
exports.sum = compile({
args:["array"],
pre: {args:[], localVars:[], thisVars:["this_s"], body:"this_s=0"},
body: {args:[{name:"a", lvalue:false, rvalue:true, count:1}], body: "this_s+=a", localVars: [], thisVars: ["this_s"]},
post: {args:[], localVars:[], thisVars:["this_s"], body:"return this_s"},
funcName: "sum"
})
exports.prod = compile({
args:["array"],
pre: {args:[], localVars:[], thisVars:["this_s"], body:"this_s=1"},
body: {args:[{name:"a", lvalue:false, rvalue:true, count:1}], body: "this_s*=a", localVars: [], thisVars: ["this_s"]},
post: {args:[], localVars:[], thisVars:["this_s"], body:"return this_s"},
funcName: "prod"
})
exports.norm2squared = compile({
args:["array"],
pre: {args:[], localVars:[], thisVars:["this_s"], body:"this_s=0"},
body: {args:[{name:"a", lvalue:false, rvalue:true, count:2}], body: "this_s+=a*a", localVars: [], thisVars: ["this_s"]},
post: {args:[], localVars:[], thisVars:["this_s"], body:"return this_s"},
funcName: "norm2squared"
})
exports.norm2 = compile({
args:["array"],
pre: {args:[], localVars:[], thisVars:["this_s"], body:"this_s=0"},
body: {args:[{name:"a", lvalue:false, rvalue:true, count:2}], body: "this_s+=a*a", localVars: [], thisVars: ["this_s"]},
post: {args:[], localVars:[], thisVars:["this_s"], body:"return Math.sqrt(this_s)"},
funcName: "norm2"
})
exports.norminf = compile({
args:["array"],
pre: {args:[], localVars:[], thisVars:["this_s"], body:"this_s=0"},
body: {args:[{name:"a", lvalue:false, rvalue:true, count:4}], body:"if(-a>this_s){this_s=-a}else if(a>this_s){this_s=a}", localVars: [], thisVars: ["this_s"]},
post: {args:[], localVars:[], thisVars:["this_s"], body:"return this_s"},
funcName: "norminf"
})
exports.norm1 = compile({
args:["array"],
pre: {args:[], localVars:[], thisVars:["this_s"], body:"this_s=0"},
body: {args:[{name:"a", lvalue:false, rvalue:true, count:3}], body: "this_s+=a<0?-a:a", localVars: [], thisVars: ["this_s"]},
post: {args:[], localVars:[], thisVars:["this_s"], body:"return this_s"},
funcName: "norm1"
})
exports.sup = compile({
args: [ "array" ],
pre:
{ body: "this_h=-Infinity",
args: [],
thisVars: [ "this_h" ],
localVars: [] },
body:
{ body: "if(_inline_1_arg0_>this_h)this_h=_inline_1_arg0_",
args: [{"name":"_inline_1_arg0_","lvalue":false,"rvalue":true,"count":2} ],
thisVars: [ "this_h" ],
localVars: [] },
post:
{ body: "return this_h",
args: [],
thisVars: [ "this_h" ],
localVars: [] }
})
exports.inf = compile({
args: [ "array" ],
pre:
{ body: "this_h=Infinity",
args: [],
thisVars: [ "this_h" ],
localVars: [] },
body:
{ body: "if(_inline_1_arg0_<this_h)this_h=_inline_1_arg0_",
args: [{"name":"_inline_1_arg0_","lvalue":false,"rvalue":true,"count":2} ],
thisVars: [ "this_h" ],
localVars: [] },
post:
{ body: "return this_h",
args: [],
thisVars: [ "this_h" ],
localVars: [] }
})
exports.argmin = compile({
args:["index","array","shape"],
pre:{
body:"{this_v=Infinity;this_i=_inline_0_arg2_.slice(0)}",
args:[
{name:"_inline_0_arg0_",lvalue:false,rvalue:false,count:0},
{name:"_inline_0_arg1_",lvalue:false,rvalue:false,count:0},
{name:"_inline_0_arg2_",lvalue:false,rvalue:true,count:1}
],
thisVars:["this_i","this_v"],
localVars:[]},
body:{
body:"{if(_inline_1_arg1_<this_v){this_v=_inline_1_arg1_;for(var _inline_1_k=0;_inline_1_k<_inline_1_arg0_.length;++_inline_1_k){this_i[_inline_1_k]=_inline_1_arg0_[_inline_1_k]}}}",
args:[
{name:"_inline_1_arg0_",lvalue:false,rvalue:true,count:2},
{name:"_inline_1_arg1_",lvalue:false,rvalue:true,count:2}],
thisVars:["this_i","this_v"],
localVars:["_inline_1_k"]},
post:{
body:"{return this_i}",
args:[],
thisVars:["this_i"],
localVars:[]}
})
exports.argmax = compile({
args:["index","array","shape"],
pre:{
body:"{this_v=-Infinity;this_i=_inline_0_arg2_.slice(0)}",
args:[
{name:"_inline_0_arg0_",lvalue:false,rvalue:false,count:0},
{name:"_inline_0_arg1_",lvalue:false,rvalue:false,count:0},
{name:"_inline_0_arg2_",lvalue:false,rvalue:true,count:1}
],
thisVars:["this_i","this_v"],
localVars:[]},
body:{
body:"{if(_inline_1_arg1_>this_v){this_v=_inline_1_arg1_;for(var _inline_1_k=0;_inline_1_k<_inline_1_arg0_.length;++_inline_1_k){this_i[_inline_1_k]=_inline_1_arg0_[_inline_1_k]}}}",
args:[
{name:"_inline_1_arg0_",lvalue:false,rvalue:true,count:2},
{name:"_inline_1_arg1_",lvalue:false,rvalue:true,count:2}],
thisVars:["this_i","this_v"],
localVars:["_inline_1_k"]},
post:{
body:"{return this_i}",
args:[],
thisVars:["this_i"],
localVars:[]}
})
exports.random = makeOp({
args: ["array"],
pre: {args:[], body:"this_f=Math.random", thisVars:["this_f"]},
body: {args: ["a"], body:"a=this_f()", thisVars:["this_f"]},
funcName: "random"
})
exports.assign = makeOp({
args:["array", "array"],
body: {args:["a", "b"], body:"a=b"},
funcName: "assign" })
exports.assigns = makeOp({
args:["array", "scalar"],
body: {args:["a", "b"], body:"a=b"},
funcName: "assigns" })
exports.equals = compile({
args:["array", "array"],
pre: EmptyProc,
body: {args:[{name:"x", lvalue:false, rvalue:true, count:1},
{name:"y", lvalue:false, rvalue:true, count:1}],
body: "if(x!==y){return false}",
localVars: [],
thisVars: []},
post: {args:[], localVars:[], thisVars:[], body:"return true"},
funcName: "equals"
})
},{"cwise-compiler":65}],206:[function(require,module,exports){
"use strict"
var pool = require("typedarray-pool")
var INSERTION_SORT_THRESHOLD = 32
function getMallocFree(dtype) {
switch(dtype) {
case "uint8":
return [pool.mallocUint8, pool.freeUint8]
case "uint16":
return [pool.mallocUint16, pool.freeUint16]
case "uint32":
return [pool.mallocUint32, pool.freeUint32]
case "int8":
return [pool.mallocInt8, pool.freeInt8]
case "int16":
return [pool.mallocInt16, pool.freeInt16]
case "int32":
return [pool.mallocInt32, pool.freeInt32]
case "float32":
return [pool.mallocFloat, pool.freeFloat]
case "float64":
return [pool.mallocDouble, pool.freeDouble]
default:
return null
}
}
function shapeArgs(dimension) {
var args = []
for(var i=0; i<dimension; ++i) {
args.push("s"+i)
}
for(var i=0; i<dimension; ++i) {
args.push("n"+i)
}
for(var i=1; i<dimension; ++i) {
args.push("d"+i)
}
for(var i=1; i<dimension; ++i) {
args.push("e"+i)
}
for(var i=1; i<dimension; ++i) {
args.push("f"+i)
}
return args
}
function createInsertionSort(order, dtype) {
var code = ["'use strict'"]
var funcName = ["ndarrayInsertionSort", order.join("d"), dtype].join("")
var funcArgs = ["left", "right", "data", "offset" ].concat(shapeArgs(order.length))
var allocator = getMallocFree(dtype)
var vars = [ "i,j,cptr,ptr=left*s0+offset" ]
if(order.length > 1) {
var scratch_shape = []
for(var i=1; i<order.length; ++i) {
vars.push("i"+i)
scratch_shape.push("n"+i)
}
if(allocator) {
vars.push("scratch=malloc(" + scratch_shape.join("*") + ")")
} else {
vars.push("scratch=new Array("+scratch_shape.join("*") + ")")
}
vars.push("dptr","sptr","a","b")
} else {
vars.push("scratch")
}
function dataRead(ptr) {
if(dtype === "generic") {
return ["data.get(", ptr, ")"].join("")
}
return ["data[",ptr,"]"].join("")
}
function dataWrite(ptr, v) {
if(dtype === "generic") {
return ["data.set(", ptr, ",", v, ")"].join("")
}
return ["data[",ptr,"]=",v].join("")
}
//Create function header
code.push(
["function ", funcName, "(", funcArgs.join(","), "){var ", vars.join(",")].join(""),
"for(i=left+1;i<=right;++i){",
"j=i;ptr+=s0",
"cptr=ptr")
if(order.length > 1) {
//Copy data into scratch
code.push("dptr=0;sptr=ptr")
for(var i=order.length-1; i>=0; --i) {
var j = order[i]
if(j === 0) {
continue
}
code.push(["for(i",j,"=0;i",j,"<n",j,";++i",j,"){"].join(""))
}
code.push("scratch[dptr++]=",dataRead("sptr"))
for(var i=0; i<order.length; ++i) {
var j = order[i]
if(j === 0) {
continue
}
code.push("sptr+=d"+j,"}")
}
//Compare items in outer loop
code.push("__g:while(j-->left){",
"dptr=0",
"sptr=cptr-s0")
for(var i=1; i<order.length; ++i) {
if(i === 1) {
code.push("__l:")
}
code.push(["for(i",i,"=0;i",i,"<n",i,";++i",i,"){"].join(""))
}
code.push(["a=", dataRead("sptr"),"\nb=scratch[dptr]\nif(a<b){break __g}\nif(a>b){break __l}"].join(""))
for(var i=order.length-1; i>=1; --i) {
code.push(
"sptr+=e"+i,
"dptr+=f"+i,
"}")
}
//Copy data back
code.push("dptr=cptr;sptr=cptr-s0")
for(var i=order.length-1; i>=0; --i) {
var j = order[i]
if(j === 0) {
continue
}
code.push(["for(i",j,"=0;i",j,"<n",j,";++i",j,"){"].join(""))
}
code.push(dataWrite("dptr", dataRead("sptr")))
for(var i=0; i<order.length; ++i) {
var j = order[i]
if(j === 0) {
continue
}
code.push(["dptr+=d",j,";sptr+=d",j].join(""),"}")
}
//Close while loop
code.push("cptr-=s0\n}")
//Copy scratch into cptr
code.push("dptr=cptr;sptr=0")
for(var i=order.length-1; i>=0; --i) {
var j = order[i]
if(j === 0) {
continue
}
code.push(["for(i",j,"=0;i",j,"<n",j,";++i",j,"){"].join(""))
}
code.push(dataWrite("dptr", "scratch[sptr++]"))
for(var i=0; i<order.length; ++i) {
var j = order[i]
if(j === 0) {
continue
}
code.push("dptr+=d"+j,"}")
}
} else {
code.push("scratch=" + dataRead("ptr"),
"while((j-->left)&&("+dataRead("cptr-s0")+">scratch)){",
dataWrite("cptr", dataRead("cptr-s0")),
"cptr-=s0",
"}",
dataWrite("cptr", "scratch"))
}
//Close outer loop body
code.push("}")
if(order.length > 1 && allocator) {
code.push("free(scratch)")
}
code.push("} return " + funcName)
//Compile and link function
if(allocator) {
var result = new Function("malloc", "free", code.join("\n"))
return result(allocator[0], allocator[1])
} else {
var result = new Function(code.join("\n"))
return result()
}
}
function createQuickSort(order, dtype, insertionSort) {
var code = [ "'use strict'" ]
var funcName = ["ndarrayQuickSort", order.join("d"), dtype].join("")
var funcArgs = ["left", "right", "data", "offset" ].concat(shapeArgs(order.length))
var allocator = getMallocFree(dtype)
var labelCounter=0
code.push(["function ", funcName, "(", funcArgs.join(","), "){"].join(""))
var vars = [
"sixth=((right-left+1)/6)|0",
"index1=left+sixth",
"index5=right-sixth",
"index3=(left+right)>>1",
"index2=index3-sixth",
"index4=index3+sixth",
"el1=index1",
"el2=index2",
"el3=index3",
"el4=index4",
"el5=index5",
"less=left+1",
"great=right-1",
"pivots_are_equal=true",
"tmp",
"tmp0",
"x",
"y",
"z",
"k",
"ptr0",
"ptr1",
"ptr2",
"comp_pivot1=0",
"comp_pivot2=0",
"comp=0"
]
if(order.length > 1) {
var ele_size = []
for(var i=1; i<order.length; ++i) {
ele_size.push("n"+i)
vars.push("i"+i)
}
for(var i=0; i<8; ++i) {
vars.push("b_ptr"+i)
}
vars.push(
"ptr3",
"ptr4",
"ptr5",
"ptr6",
"ptr7",
"pivot_ptr",
"ptr_shift",
"elementSize="+ele_size.join("*"))
if(allocator) {
vars.push("pivot1=malloc(elementSize)",
"pivot2=malloc(elementSize)")
} else {
vars.push("pivot1=new Array(elementSize),pivot2=new Array(elementSize)")
}
} else {
vars.push("pivot1", "pivot2")
}
//Initialize local variables
code.push("var " + vars.join(","))
function toPointer(v) {
return ["(offset+",v,"*s0)"].join("")
}
function dataRead(ptr) {
if(dtype === "generic") {
return ["data.get(", ptr, ")"].join("")
}
return ["data[",ptr,"]"].join("")
}
function dataWrite(ptr, v) {
if(dtype === "generic") {
return ["data.set(", ptr, ",", v, ")"].join("")
}
return ["data[",ptr,"]=",v].join("")
}
function cacheLoop(ptrs, usePivot, body) {
if(ptrs.length === 1) {
code.push("ptr0="+toPointer(ptrs[0]))
} else {
for(var i=0; i<ptrs.length; ++i) {
code.push(["b_ptr",i,"=s0*",ptrs[i]].join(""))
}
}
if(usePivot) {
code.push("pivot_ptr=0")
}
code.push("ptr_shift=offset")
for(var i=order.length-1; i>=0; --i) {
var j = order[i]
if(j === 0) {
continue
}
code.push(["for(i",j,"=0;i",j,"<n",j,";++i",j,"){"].join(""))
}
if(ptrs.length > 1) {
for(var i=0; i<ptrs.length; ++i) {
code.push(["ptr",i,"=b_ptr",i,"+ptr_shift"].join(""))
}
}
code.push(body)
if(usePivot) {
code.push("++pivot_ptr")
}
for(var i=0; i<order.length; ++i) {
var j = order[i]
if(j === 0) {
continue
}
if(ptrs.length>1) {
code.push("ptr_shift+=d"+j)
} else {
code.push("ptr0+=d"+j)
}
code.push("}")
}
}
function lexicoLoop(label, ptrs, usePivot, body) {
if(ptrs.length === 1) {
code.push("ptr0="+toPointer(ptrs[0]))
} else {
for(var i=0; i<ptrs.length; ++i) {
code.push(["b_ptr",i,"=s0*",ptrs[i]].join(""))
}
code.push("ptr_shift=offset")
}
if(usePivot) {
code.push("pivot_ptr=0")
}
if(label) {
code.push(label+":")
}
for(var i=1; i<order.length; ++i) {
code.push(["for(i",i,"=0;i",i,"<n",i,";++i",i,"){"].join(""))
}
if(ptrs.length > 1) {
for(var i=0; i<ptrs.length; ++i) {
code.push(["ptr",i,"=b_ptr",i,"+ptr_shift"].join(""))
}
}
code.push(body)
for(var i=order.length-1; i>=1; --i) {
if(usePivot) {
code.push("pivot_ptr+=f"+i)
}
if(ptrs.length > 1) {
code.push("ptr_shift+=e"+i)
} else {
code.push("ptr0+=e"+i)
}
code.push("}")
}
}
function cleanUp() {
if(order.length > 1 && allocator) {
code.push("free(pivot1)", "free(pivot2)")
}
}
function compareSwap(a_id, b_id) {
var a = "el"+a_id
var b = "el"+b_id
if(order.length > 1) {
var lbl = "__l" + (++labelCounter)
lexicoLoop(lbl, [a, b], false, [
"comp=",dataRead("ptr0"),"-",dataRead("ptr1"),"\n",
"if(comp>0){tmp0=", a, ";",a,"=",b,";", b,"=tmp0;break ", lbl,"}\n",
"if(comp<0){break ", lbl, "}"
].join(""))
} else {
code.push(["if(", dataRead(toPointer(a)), ">", dataRead(toPointer(b)), "){tmp0=", a, ";",a,"=",b,";", b,"=tmp0}"].join(""))
}
}
compareSwap(1, 2)
compareSwap(4, 5)
compareSwap(1, 3)
compareSwap(2, 3)
compareSwap(1, 4)
compareSwap(3, 4)
compareSwap(2, 5)
compareSwap(2, 3)
compareSwap(4, 5)
if(order.length > 1) {
cacheLoop(["el1", "el2", "el3", "el4", "el5", "index1", "index3", "index5"], true, [
"pivot1[pivot_ptr]=",dataRead("ptr1"),"\n",
"pivot2[pivot_ptr]=",dataRead("ptr3"),"\n",
"pivots_are_equal=pivots_are_equal&&(pivot1[pivot_ptr]===pivot2[pivot_ptr])\n",
"x=",dataRead("ptr0"),"\n",
"y=",dataRead("ptr2"),"\n",
"z=",dataRead("ptr4"),"\n",
dataWrite("ptr5", "x"),"\n",
dataWrite("ptr6", "y"),"\n",
dataWrite("ptr7", "z")
].join(""))
} else {
code.push([
"pivot1=", dataRead(toPointer("el2")), "\n",
"pivot2=", dataRead(toPointer("el4")), "\n",
"pivots_are_equal=pivot1===pivot2\n",
"x=", dataRead(toPointer("el1")), "\n",
"y=", dataRead(toPointer("el3")), "\n",
"z=", dataRead(toPointer("el5")), "\n",
dataWrite(toPointer("index1"), "x"), "\n",
dataWrite(toPointer("index3"), "y"), "\n",
dataWrite(toPointer("index5"), "z")
].join(""))
}
function moveElement(dst, src) {
if(order.length > 1) {
cacheLoop([dst, src], false,
dataWrite("ptr0", dataRead("ptr1"))
)
} else {
code.push(dataWrite(toPointer(dst), dataRead(toPointer(src))))
}
}
moveElement("index2", "left")
moveElement("index4", "right")
function comparePivot(result, ptr, n) {
if(order.length > 1) {
var lbl = "__l" + (++labelCounter)
lexicoLoop(lbl, [ptr], true, [
result,"=",dataRead("ptr0"),"-pivot",n,"[pivot_ptr]\n",
"if(",result,"!==0){break ", lbl, "}"
].join(""))
} else {
code.push([result,"=", dataRead(toPointer(ptr)), "-pivot", n].join(""))
}
}
function swapElements(a, b) {
if(order.length > 1) {
cacheLoop([a,b],false,[
"tmp=",dataRead("ptr0"),"\n",
dataWrite("ptr0", dataRead("ptr1")),"\n",
dataWrite("ptr1", "tmp")
].join(""))
} else {
code.push([
"ptr0=",toPointer(a),"\n",
"ptr1=",toPointer(b),"\n",
"tmp=",dataRead("ptr0"),"\n",
dataWrite("ptr0", dataRead("ptr1")),"\n",
dataWrite("ptr1", "tmp")
].join(""))
}
}
function tripleSwap(k, less, great) {
if(order.length > 1) {
cacheLoop([k,less,great], false, [
"tmp=",dataRead("ptr0"),"\n",
dataWrite("ptr0", dataRead("ptr1")),"\n",
dataWrite("ptr1", dataRead("ptr2")),"\n",
dataWrite("ptr2", "tmp")
].join(""))
code.push("++"+less, "--"+great)
} else {
code.push([
"ptr0=",toPointer(k),"\n",
"ptr1=",toPointer(less),"\n",
"ptr2=",toPointer(great),"\n",
"++",less,"\n",
"--",great,"\n",
"tmp=", dataRead("ptr0"), "\n",
dataWrite("ptr0", dataRead("ptr1")), "\n",
dataWrite("ptr1", dataRead("ptr2")), "\n",
dataWrite("ptr2", "tmp")
].join(""))
}
}
function swapAndDecrement(k, great) {
swapElements(k, great)
code.push("--"+great)
}
code.push("if(pivots_are_equal){")
//Pivots are equal case
code.push("for(k=less;k<=great;++k){")
comparePivot("comp", "k", 1)
code.push("if(comp===0){continue}")
code.push("if(comp<0){")
code.push("if(k!==less){")
swapElements("k", "less")
code.push("}")
code.push("++less")
code.push("}else{")
code.push("while(true){")
comparePivot("comp", "great", 1)
code.push("if(comp>0){")
code.push("great--")
code.push("}else if(comp<0){")
tripleSwap("k", "less", "great")
code.push("break")
code.push("}else{")
swapAndDecrement("k", "great")
code.push("break")
code.push("}")
code.push("}")
code.push("}")
code.push("}")
code.push("}else{")
//Pivots not equal case
code.push("for(k=less;k<=great;++k){")
comparePivot("comp_pivot1", "k", 1)
code.push("if(comp_pivot1<0){")
code.push("if(k!==less){")
swapElements("k", "less")
code.push("}")
code.push("++less")
code.push("}else{")
comparePivot("comp_pivot2", "k", 2)
code.push("if(comp_pivot2>0){")
code.push("while(true){")
comparePivot("comp", "great", 2)
code.push("if(comp>0){")
code.push("if(--great<k){break}")
code.push("continue")
code.push("}else{")
comparePivot("comp", "great", 1)
code.push("if(comp<0){")
tripleSwap("k", "less", "great")
code.push("}else{")
swapAndDecrement("k", "great")
code.push("}")
code.push("break")
code.push("}")
code.push("}")
code.push("}")
code.push("}")
code.push("}")
code.push("}")
//Move pivots to correct place
function storePivot(mem_dest, pivot_dest, pivot) {
if(order.length>1) {
cacheLoop([mem_dest, pivot_dest], true, [
dataWrite("ptr0", dataRead("ptr1")), "\n",
dataWrite("ptr1", ["pivot",pivot,"[pivot_ptr]"].join(""))
].join(""))
} else {
code.push(
dataWrite(toPointer(mem_dest), dataRead(toPointer(pivot_dest))),
dataWrite(toPointer(pivot_dest), "pivot"+pivot))
}
}
storePivot("left", "(less-1)", 1)
storePivot("right", "(great+1)", 2)
//Recursive sort call
function doSort(left, right) {
code.push([
"if((",right,"-",left,")<=",INSERTION_SORT_THRESHOLD,"){\n",
"insertionSort(", left, ",", right, ",data,offset,", shapeArgs(order.length).join(","), ")\n",
"}else{\n",
funcName, "(", left, ",", right, ",data,offset,", shapeArgs(order.length).join(","), ")\n",
"}"
].join(""))
}
doSort("left", "(less-2)")
doSort("(great+2)", "right")
//If pivots are equal, then early out
code.push("if(pivots_are_equal){")
cleanUp()
code.push("return")
code.push("}")
function walkPointer(ptr, pivot, body) {
if(order.length > 1) {
code.push(["__l",++labelCounter,":while(true){"].join(""))
cacheLoop([ptr], true, [
"if(", dataRead("ptr0"), "!==pivot", pivot, "[pivot_ptr]){break __l", labelCounter, "}"
].join(""))
code.push(body, "}")
} else {
code.push(["while(", dataRead(toPointer(ptr)), "===pivot", pivot, "){", body, "}"].join(""))
}
}
//Check bounds
code.push("if(less<index1&&great>index5){")
walkPointer("less", 1, "++less")
walkPointer("great", 2, "--great")
code.push("for(k=less;k<=great;++k){")
comparePivot("comp_pivot1", "k", 1)
code.push("if(comp_pivot1===0){")
code.push("if(k!==less){")
swapElements("k", "less")
code.push("}")
code.push("++less")
code.push("}else{")
comparePivot("comp_pivot2", "k", 2)
code.push("if(comp_pivot2===0){")
code.push("while(true){")
comparePivot("comp", "great", 2)
code.push("if(comp===0){")
code.push("if(--great<k){break}")
code.push("continue")
code.push("}else{")
comparePivot("comp", "great", 1)
code.push("if(comp<0){")
tripleSwap("k", "less", "great")
code.push("}else{")
swapAndDecrement("k", "great")
code.push("}")
code.push("break")
code.push("}")
code.push("}")
code.push("}")
code.push("}")
code.push("}")
code.push("}")
//Clean up and do a final sorting pass
cleanUp()
doSort("less", "great")
//Close off main loop
code.push("}return " + funcName)
//Compile and link
if(order.length > 1 && allocator) {
var compiled = new Function("insertionSort", "malloc", "free", code.join("\n"))
return compiled(insertionSort, allocator[0], allocator[1])
}
var compiled = new Function("insertionSort", code.join("\n"))
return compiled(insertionSort)
}
function compileSort(order, dtype) {
var code = ["'use strict'"]
var funcName = ["ndarraySortWrapper", order.join("d"), dtype].join("")
var funcArgs = [ "array" ]
code.push(["function ", funcName, "(", funcArgs.join(","), "){"].join(""))
//Unpack local variables from array
var vars = ["data=array.data,offset=array.offset|0,shape=array.shape,stride=array.stride"]
for(var i=0; i<order.length; ++i) {
vars.push(["s",i,"=stride[",i,"]|0,n",i,"=shape[",i,"]|0"].join(""))
}
var scratch_stride = new Array(order.length)
var nprod = []
for(var i=0; i<order.length; ++i) {
var k = order[i]
if(k === 0) {
continue
}
if(nprod.length === 0) {
scratch_stride[k] = "1"
} else {
scratch_stride[k] = nprod.join("*")
}
nprod.push("n"+k)
}
var p = -1, q = -1
for(var i=0; i<order.length; ++i) {
var j = order[i]
if(j !== 0) {
if(p > 0) {
vars.push(["d",j,"=s",j,"-d",p,"*n",p].join(""))
} else {
vars.push(["d",j,"=s",j].join(""))
}
p = j
}
var k = order.length-1-i
if(k !== 0) {
if(q > 0) {
vars.push(["e",k,"=s",k,"-e",q,"*n",q,
",f",k,"=",scratch_stride[k],"-f",q,"*n",q].join(""))
} else {
vars.push(["e",k,"=s",k,",f",k,"=",scratch_stride[k]].join(""))
}
q = k
}
}
//Declare local variables
code.push("var " + vars.join(","))
//Create arguments for subroutine
var sortArgs = ["0", "n0-1", "data", "offset"].concat(shapeArgs(order.length))
//Call main sorting routine
code.push([
"if(n0<=",INSERTION_SORT_THRESHOLD,"){",
"insertionSort(", sortArgs.join(","), ")}else{",
"quickSort(", sortArgs.join(","),
")}"
].join(""))
//Return
code.push("}return " + funcName)
//Link everything together
var result = new Function("insertionSort", "quickSort", code.join("\n"))
var insertionSort = createInsertionSort(order, dtype)
var quickSort = createQuickSort(order, dtype, insertionSort)
return result(insertionSort, quickSort)
}
module.exports = compileSort
},{"typedarray-pool":257}],207:[function(require,module,exports){
"use strict"
var compile = require("./lib/compile_sort.js")
var CACHE = {}
function sort(array) {
var order = array.order
var dtype = array.dtype
var typeSig = [order, dtype ]
var typeName = typeSig.join(":")
var compiled = CACHE[typeName]
if(!compiled) {
CACHE[typeName] = compiled = compile(order, dtype)
}
compiled(array)
return array
}
module.exports = sort
},{"./lib/compile_sort.js":206}],208:[function(require,module,exports){
var iota = require("iota-array")
var isBuffer = require("is-buffer")
var hasTypedArrays = ((typeof Float64Array) !== "undefined")
function compare1st(a, b) {
return a[0] - b[0]
}
function order() {
var stride = this.stride
var terms = new Array(stride.length)
var i
for(i=0; i<terms.length; ++i) {
terms[i] = [Math.abs(stride[i]), i]
}
terms.sort(compare1st)
var result = new Array(terms.length)
for(i=0; i<result.length; ++i) {
result[i] = terms[i][1]
}
return result
}
function compileConstructor(dtype, dimension) {
var className = ["View", dimension, "d", dtype].join("")
if(dimension < 0) {
className = "View_Nil" + dtype
}
var useGetters = (dtype === "generic")
if(dimension === -1) {
//Special case for trivial arrays
var code =
"function "+className+"(a){this.data=a;};\
var proto="+className+".prototype;\
proto.dtype='"+dtype+"';\
proto.index=function(){return -1};\
proto.size=0;\
proto.dimension=-1;\
proto.shape=proto.stride=proto.order=[];\
proto.lo=proto.hi=proto.transpose=proto.step=\
function(){return new "+className+"(this.data);};\
proto.get=proto.set=function(){};\
proto.pick=function(){return null};\
return function construct_"+className+"(a){return new "+className+"(a);}"
var procedure = new Function(code)
return procedure()
} else if(dimension === 0) {
//Special case for 0d arrays
var code =
"function "+className+"(a,d) {\
this.data = a;\
this.offset = d\
};\
var proto="+className+".prototype;\
proto.dtype='"+dtype+"';\
proto.index=function(){return this.offset};\
proto.dimension=0;\
proto.size=1;\
proto.shape=\
proto.stride=\
proto.order=[];\
proto.lo=\
proto.hi=\
proto.transpose=\
proto.step=function "+className+"_copy() {\
return new "+className+"(this.data,this.offset)\
};\
proto.pick=function "+className+"_pick(){\
return TrivialArray(this.data);\
};\
proto.valueOf=proto.get=function "+className+"_get(){\
return "+(useGetters ? "this.data.get(this.offset)" : "this.data[this.offset]")+
"};\
proto.set=function "+className+"_set(v){\
return "+(useGetters ? "this.data.set(this.offset,v)" : "this.data[this.offset]=v")+"\
};\
return function construct_"+className+"(a,b,c,d){return new "+className+"(a,d)}"
var procedure = new Function("TrivialArray", code)
return procedure(CACHED_CONSTRUCTORS[dtype][0])
}
var code = ["'use strict'"]
//Create constructor for view
var indices = iota(dimension)
var args = indices.map(function(i) { return "i"+i })
var index_str = "this.offset+" + indices.map(function(i) {
return "this.stride[" + i + "]*i" + i
}).join("+")
var shapeArg = indices.map(function(i) {
return "b"+i
}).join(",")
var strideArg = indices.map(function(i) {
return "c"+i
}).join(",")
code.push(
"function "+className+"(a," + shapeArg + "," + strideArg + ",d){this.data=a",
"this.shape=[" + shapeArg + "]",
"this.stride=[" + strideArg + "]",
"this.offset=d|0}",
"var proto="+className+".prototype",
"proto.dtype='"+dtype+"'",
"proto.dimension="+dimension)
//view.size:
code.push("Object.defineProperty(proto,'size',{get:function "+className+"_size(){\
return "+indices.map(function(i) { return "this.shape["+i+"]" }).join("*"),
"}})")
//view.order:
if(dimension === 1) {
code.push("proto.order=[0]")
} else {
code.push("Object.defineProperty(proto,'order',{get:")
if(dimension < 4) {
code.push("function "+className+"_order(){")
if(dimension === 2) {
code.push("return (Math.abs(this.stride[0])>Math.abs(this.stride[1]))?[1,0]:[0,1]}})")
} else if(dimension === 3) {
code.push(
"var s0=Math.abs(this.stride[0]),s1=Math.abs(this.stride[1]),s2=Math.abs(this.stride[2]);\
if(s0>s1){\
if(s1>s2){\
return [2,1,0];\
}else if(s0>s2){\
return [1,2,0];\
}else{\
return [1,0,2];\
}\
}else if(s0>s2){\
return [2,0,1];\
}else if(s2>s1){\
return [0,1,2];\
}else{\
return [0,2,1];\
}}})")
}
} else {
code.push("ORDER})")
}
}
//view.set(i0, ..., v):
code.push(
"proto.set=function "+className+"_set("+args.join(",")+",v){")
if(useGetters) {
code.push("return this.data.set("+index_str+",v)}")
} else {
code.push("return this.data["+index_str+"]=v}")
}
//view.get(i0, ...):
code.push("proto.get=function "+className+"_get("+args.join(",")+"){")
if(useGetters) {
code.push("return this.data.get("+index_str+")}")
} else {
code.push("return this.data["+index_str+"]}")
}
//view.index:
code.push(
"proto.index=function "+className+"_index(", args.join(), "){return "+index_str+"}")
//view.hi():
code.push("proto.hi=function "+className+"_hi("+args.join(",")+"){return new "+className+"(this.data,"+
indices.map(function(i) {
return ["(typeof i",i,"!=='number'||i",i,"<0)?this.shape[", i, "]:i", i,"|0"].join("")
}).join(",")+","+
indices.map(function(i) {
return "this.stride["+i + "]"
}).join(",")+",this.offset)}")
//view.lo():
var a_vars = indices.map(function(i) { return "a"+i+"=this.shape["+i+"]" })
var c_vars = indices.map(function(i) { return "c"+i+"=this.stride["+i+"]" })
code.push("proto.lo=function "+className+"_lo("+args.join(",")+"){var b=this.offset,d=0,"+a_vars.join(",")+","+c_vars.join(","))
for(var i=0; i<dimension; ++i) {
code.push(
"if(typeof i"+i+"==='number'&&i"+i+">=0){\
d=i"+i+"|0;\
b+=c"+i+"*d;\
a"+i+"-=d}")
}
code.push("return new "+className+"(this.data,"+
indices.map(function(i) {
return "a"+i
}).join(",")+","+
indices.map(function(i) {
return "c"+i
}).join(",")+",b)}")
//view.step():
code.push("proto.step=function "+className+"_step("+args.join(",")+"){var "+
indices.map(function(i) {
return "a"+i+"=this.shape["+i+"]"
}).join(",")+","+
indices.map(function(i) {
return "b"+i+"=this.stride["+i+"]"
}).join(",")+",c=this.offset,d=0,ceil=Math.ceil")
for(var i=0; i<dimension; ++i) {
code.push(
"if(typeof i"+i+"==='number'){\
d=i"+i+"|0;\
if(d<0){\
c+=b"+i+"*(a"+i+"-1);\
a"+i+"=ceil(-a"+i+"/d)\
}else{\
a"+i+"=ceil(a"+i+"/d)\
}\
b"+i+"*=d\
}")
}
code.push("return new "+className+"(this.data,"+
indices.map(function(i) {
return "a" + i
}).join(",")+","+
indices.map(function(i) {
return "b" + i
}).join(",")+",c)}")
//view.transpose():
var tShape = new Array(dimension)
var tStride = new Array(dimension)
for(var i=0; i<dimension; ++i) {
tShape[i] = "a[i"+i+"]"
tStride[i] = "b[i"+i+"]"
}
code.push("proto.transpose=function "+className+"_transpose("+args+"){"+
args.map(function(n,idx) { return n + "=(" + n + "===undefined?" + idx + ":" + n + "|0)"}).join(";"),
"var a=this.shape,b=this.stride;return new "+className+"(this.data,"+tShape.join(",")+","+tStride.join(",")+",this.offset)}")
//view.pick():
code.push("proto.pick=function "+className+"_pick("+args+"){var a=[],b=[],c=this.offset")
for(var i=0; i<dimension; ++i) {
code.push("if(typeof i"+i+"==='number'&&i"+i+">=0){c=(c+this.stride["+i+"]*i"+i+")|0}else{a.push(this.shape["+i+"]);b.push(this.stride["+i+"])}")
}
code.push("var ctor=CTOR_LIST[a.length+1];return ctor(this.data,a,b,c)}")
//Add return statement
code.push("return function construct_"+className+"(data,shape,stride,offset){return new "+className+"(data,"+
indices.map(function(i) {
return "shape["+i+"]"
}).join(",")+","+
indices.map(function(i) {
return "stride["+i+"]"
}).join(",")+",offset)}")
//Compile procedure
var procedure = new Function("CTOR_LIST", "ORDER", code.join("\n"))
return procedure(CACHED_CONSTRUCTORS[dtype], order)
}
function arrayDType(data) {
if(isBuffer(data)) {
return "buffer"
}
if(hasTypedArrays) {
switch(Object.prototype.toString.call(data)) {
case "[object Float64Array]":
return "float64"
case "[object Float32Array]":
return "float32"
case "[object Int8Array]":
return "int8"
case "[object Int16Array]":
return "int16"
case "[object Int32Array]":
return "int32"
case "[object Uint8Array]":
return "uint8"
case "[object Uint16Array]":
return "uint16"
case "[object Uint32Array]":
return "uint32"
case "[object Uint8ClampedArray]":
return "uint8_clamped"
}
}
if(Array.isArray(data)) {
return "array"
}
return "generic"
}
var CACHED_CONSTRUCTORS = {
"float32":[],
"float64":[],
"int8":[],
"int16":[],
"int32":[],
"uint8":[],
"uint16":[],
"uint32":[],
"array":[],
"uint8_clamped":[],
"buffer":[],
"generic":[]
}
;(function() {
for(var id in CACHED_CONSTRUCTORS) {
CACHED_CONSTRUCTORS[id].push(compileConstructor(id, -1))
}
});
function wrappedNDArrayCtor(data, shape, stride, offset) {
if(data === undefined) {
var ctor = CACHED_CONSTRUCTORS.array[0]
return ctor([])
} else if(typeof data === "number") {
data = [data]
}
if(shape === undefined) {
shape = [ data.length ]
}
var d = shape.length
if(stride === undefined) {
stride = new Array(d)
for(var i=d-1, sz=1; i>=0; --i) {
stride[i] = sz
sz *= shape[i]
}
}
if(offset === undefined) {
offset = 0
for(var i=0; i<d; ++i) {
if(stride[i] < 0) {
offset -= (shape[i]-1)*stride[i]
}
}
}
var dtype = arrayDType(data)
var ctor_list = CACHED_CONSTRUCTORS[dtype]
while(ctor_list.length <= d+1) {
ctor_list.push(compileConstructor(dtype, ctor_list.length-1))
}
var ctor = ctor_list[d+1]
return ctor(data, shape, stride, offset)
}
module.exports = wrappedNDArrayCtor
},{"iota-array":191,"is-buffer":192}],209:[function(require,module,exports){
"use strict"
var doubleBits = require("double-bits")
var SMALLEST_DENORM = Math.pow(2, -1074)
var UINT_MAX = (-1)>>>0
module.exports = nextafter
function nextafter(x, y) {
if(isNaN(x) || isNaN(y)) {
return NaN
}
if(x === y) {
return x
}
if(x === 0) {
if(y < 0) {
return -SMALLEST_DENORM
} else {
return SMALLEST_DENORM
}
}
var hi = doubleBits.hi(x)
var lo = doubleBits.lo(x)
if((y > x) === (x > 0)) {
if(lo === UINT_MAX) {
hi += 1
lo = 0
} else {
lo += 1
}
} else {
if(lo === 0) {
lo = UINT_MAX
hi -= 1
} else {
lo -= 1
}
}
return doubleBits.pack(lo, hi)
}
},{"double-bits":69}],210:[function(require,module,exports){
var DEFAULT_NORMALS_EPSILON = 1e-6;
var DEFAULT_FACE_EPSILON = 1e-6;
//Estimate the vertex normals of a mesh
exports.vertexNormals = function(faces, positions, specifiedEpsilon) {
var N = positions.length;
var normals = new Array(N);
var epsilon = specifiedEpsilon === void(0) ? DEFAULT_NORMALS_EPSILON : specifiedEpsilon;
//Initialize normal array
for(var i=0; i<N; ++i) {
normals[i] = [0.0, 0.0, 0.0];
}
//Walk over all the faces and add per-vertex contribution to normal weights
for(var i=0; i<faces.length; ++i) {
var f = faces[i];
var p = 0;
var c = f[f.length-1];
var n = f[0];
for(var j=0; j<f.length; ++j) {
//Shift indices back
p = c;
c = n;
n = f[(j+1) % f.length];
var v0 = positions[p];
var v1 = positions[c];
var v2 = positions[n];
//Compute infineteismal arcs
var d01 = new Array(3);
var m01 = 0.0;
var d21 = new Array(3);
var m21 = 0.0;
for(var k=0; k<3; ++k) {
d01[k] = v0[k] - v1[k];
m01 += d01[k] * d01[k];
d21[k] = v2[k] - v1[k];
m21 += d21[k] * d21[k];
}
//Accumulate values in normal
if(m01 * m21 > epsilon) {
var norm = normals[c];
var w = 1.0 / Math.sqrt(m01 * m21);
for(var k=0; k<3; ++k) {
var u = (k+1)%3;
var v = (k+2)%3;
norm[k] += w * (d21[u] * d01[v] - d21[v] * d01[u]);
}
}
}
}
//Scale all normals to unit length
for(var i=0; i<N; ++i) {
var norm = normals[i];
var m = 0.0;
for(var k=0; k<3; ++k) {
m += norm[k] * norm[k];
}
if(m > epsilon) {
var w = 1.0 / Math.sqrt(m);
for(var k=0; k<3; ++k) {
norm[k] *= w;
}
} else {
for(var k=0; k<3; ++k) {
norm[k] = 0.0;
}
}
}
//Return the resulting set of patches
return normals;
}
//Compute face normals of a mesh
exports.faceNormals = function(faces, positions, specifiedEpsilon) {
var N = faces.length;
var normals = new Array(N);
var epsilon = specifiedEpsilon === void(0) ? DEFAULT_FACE_EPSILON : specifiedEpsilon;
for(var i=0; i<N; ++i) {
var f = faces[i];
var pos = new Array(3);
for(var j=0; j<3; ++j) {
pos[j] = positions[f[j]];
}
var d01 = new Array(3);
var d21 = new Array(3);
for(var j=0; j<3; ++j) {
d01[j] = pos[1][j] - pos[0][j];
d21[j] = pos[2][j] - pos[0][j];
}
var n = new Array(3);
var l = 0.0;
for(var j=0; j<3; ++j) {
var u = (j+1)%3;
var v = (j+2)%3;
n[j] = d01[u] * d21[v] - d01[v] * d21[u];
l += n[j] * n[j];
}
if(l > epsilon) {
l = 1.0 / Math.sqrt(l);
} else {
l = 0.0;
}
for(var j=0; j<3; ++j) {
n[j] *= l;
}
normals[i] = n;
}
return normals;
}
},{}],211:[function(require,module,exports){
'use strict'
module.exports = quatFromFrame
function quatFromFrame(
out,
rx, ry, rz,
ux, uy, uz,
fx, fy, fz) {
var tr = rx + uy + fz
if(l > 0) {
var l = Math.sqrt(tr + 1.0)
out[0] = 0.5 * (uz - fy) / l
out[1] = 0.5 * (fx - rz) / l
out[2] = 0.5 * (ry - uy) / l
out[3] = 0.5 * l
} else {
var tf = Math.max(rx, uy, fz)
var l = Math.sqrt(2 * tf - tr + 1.0)
if(rx >= tf) {
//x y z order
out[0] = 0.5 * l
out[1] = 0.5 * (ux + ry) / l
out[2] = 0.5 * (fx + rz) / l
out[3] = 0.5 * (uz - fy) / l
} else if(uy >= tf) {
//y z x order
out[0] = 0.5 * (ry + ux) / l
out[1] = 0.5 * l
out[2] = 0.5 * (fy + uz) / l
out[3] = 0.5 * (fx - rz) / l
} else {
//z x y order
out[0] = 0.5 * (rz + fx) / l
out[1] = 0.5 * (uz + fy) / l
out[2] = 0.5 * l
out[3] = 0.5 * (ry - ux) / l
}
}
return out
}
},{}],212:[function(require,module,exports){
'use strict'
module.exports = createOrbitController
var filterVector = require('filtered-vector')
var lookAt = require('gl-mat4/lookAt')
var mat4FromQuat = require('gl-mat4/fromQuat')
var invert44 = require('gl-mat4/invert')
var quatFromFrame = require('./lib/quatFromFrame')
function len3(x,y,z) {
return Math.sqrt(Math.pow(x,2) + Math.pow(y,2) + Math.pow(z,2))
}
function len4(w,x,y,z) {
return Math.sqrt(Math.pow(w,2) + Math.pow(x,2) + Math.pow(y,2) + Math.pow(z,2))
}
function normalize4(out, a) {
var ax = a[0]
var ay = a[1]
var az = a[2]
var aw = a[3]
var al = len4(ax, ay, az, aw)
if(al > 1e-6) {
out[0] = ax/al
out[1] = ay/al
out[2] = az/al
out[3] = aw/al
} else {
out[0] = out[1] = out[2] = 0.0
out[3] = 1.0
}
}
function OrbitCameraController(initQuat, initCenter, initRadius) {
this.radius = filterVector([initRadius])
this.center = filterVector(initCenter)
this.rotation = filterVector(initQuat)
this.computedRadius = this.radius.curve(0)
this.computedCenter = this.center.curve(0)
this.computedRotation = this.rotation.curve(0)
this.computedUp = [0.1,0,0]
this.computedEye = [0.1,0,0]
this.computedMatrix = [0.1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
this.recalcMatrix(0)
}
var proto = OrbitCameraController.prototype
proto.lastT = function() {
return Math.max(
this.radius.lastT(),
this.center.lastT(),
this.rotation.lastT())
}
proto.recalcMatrix = function(t) {
this.radius.curve(t)
this.center.curve(t)
this.rotation.curve(t)
var quat = this.computedRotation
normalize4(quat, quat)
var mat = this.computedMatrix
mat4FromQuat(mat, quat)
var center = this.computedCenter
var eye = this.computedEye
var up = this.computedUp
var radius = Math.exp(this.computedRadius[0])
eye[0] = center[0] + radius * mat[2]
eye[1] = center[1] + radius * mat[6]
eye[2] = center[2] + radius * mat[10]
up[0] = mat[1]
up[1] = mat[5]
up[2] = mat[9]
for(var i=0; i<3; ++i) {
var rr = 0.0
for(var j=0; j<3; ++j) {
rr += mat[i+4*j] * eye[j]
}
mat[12+i] = -rr
}
}
proto.getMatrix = function(t, result) {
this.recalcMatrix(t)
var m = this.computedMatrix
if(result) {
for(var i=0; i<16; ++i) {
result[i] = m[i]
}
return result
}
return m
}
proto.idle = function(t) {
this.center.idle(t)
this.radius.idle(t)
this.rotation.idle(t)
}
proto.flush = function(t) {
this.center.flush(t)
this.radius.flush(t)
this.rotation.flush(t)
}
proto.pan = function(t, dx, dy, dz) {
dx = dx || 0.0
dy = dy || 0.0
dz = dz || 0.0
this.recalcMatrix(t)
var mat = this.computedMatrix
var ux = mat[1]
var uy = mat[5]
var uz = mat[9]
var ul = len3(ux, uy, uz)
ux /= ul
uy /= ul
uz /= ul
var rx = mat[0]
var ry = mat[4]
var rz = mat[8]
var ru = rx * ux + ry * uy + rz * uz
rx -= ux * ru
ry -= uy * ru
rz -= uz * ru
var rl = len3(rx, ry, rz)
rx /= rl
ry /= rl
rz /= rl
var fx = mat[2]
var fy = mat[6]
var fz = mat[10]
var fu = fx * ux + fy * uy + fz * uz
var fr = fx * rx + fy * ry + fz * rz
fx -= fu * ux + fr * rx
fy -= fu * uy + fr * ry
fz -= fu * uz + fr * rz
var fl = len3(fx, fy, fz)
fx /= fl
fy /= fl
fz /= fl
var vx = rx * dx + ux * dy
var vy = ry * dx + uy * dy
var vz = rz * dx + uz * dy
this.center.move(t, vx, vy, vz)
//Update z-component of radius
var radius = Math.exp(this.computedRadius[0])
radius = Math.max(1e-4, radius + dz)
this.radius.set(t, Math.log(radius))
}
proto.rotate = function(t, dx, dy, dz) {
this.recalcMatrix(t)
dx = dx||0.0
dy = dy||0.0
var mat = this.computedMatrix
var rx = mat[0]
var ry = mat[4]
var rz = mat[8]
var ux = mat[1]
var uy = mat[5]
var uz = mat[9]
var fx = mat[2]
var fy = mat[6]
var fz = mat[10]
var qx = dx * rx + dy * ux
var qy = dx * ry + dy * uy
var qz = dx * rz + dy * uz
var bx = -(fy * qz - fz * qy)
var by = -(fz * qx - fx * qz)
var bz = -(fx * qy - fy * qx)
var bw = Math.sqrt(Math.max(0.0, 1.0 - Math.pow(bx,2) - Math.pow(by,2) - Math.pow(bz,2)))
var bl = len4(bx, by, bz, bw)
if(bl > 1e-6) {
bx /= bl
by /= bl
bz /= bl
bw /= bl
} else {
bx = by = bz = 0.0
bw = 1.0
}
var rotation = this.computedRotation
var ax = rotation[0]
var ay = rotation[1]
var az = rotation[2]
var aw = rotation[3]
var cx = ax*bw + aw*bx + ay*bz - az*by
var cy = ay*bw + aw*by + az*bx - ax*bz
var cz = az*bw + aw*bz + ax*by - ay*bx
var cw = aw*bw - ax*bx - ay*by - az*bz
//Apply roll
if(dz) {
bx = fx
by = fy
bz = fz
var s = Math.sin(dz) / len3(bx, by, bz)
bx *= s
by *= s
bz *= s
bw = Math.cos(dx)
cx = cx*bw + cw*bx + cy*bz - cz*by
cy = cy*bw + cw*by + cz*bx - cx*bz
cz = cz*bw + cw*bz + cx*by - cy*bx
cw = cw*bw - cx*bx - cy*by - cz*bz
}
var cl = len4(cx, cy, cz, cw)
if(cl > 1e-6) {
cx /= cl
cy /= cl
cz /= cl
cw /= cl
} else {
cx = cy = cz = 0.0
cw = 1.0
}
this.rotation.set(t, cx, cy, cz, cw)
}
proto.lookAt = function(t, eye, center, up) {
this.recalcMatrix(t)
center = center || this.computedCenter
eye = eye || this.computedEye
up = up || this.computedUp
var mat = this.computedMatrix
lookAt(mat, eye, center, up)
var rotation = this.computedRotation
quatFromFrame(rotation,
mat[0], mat[1], mat[2],
mat[4], mat[5], mat[6],
mat[8], mat[9], mat[10])
normalize4(rotation, rotation)
this.rotation.set(t, rotation[0], rotation[1], rotation[2], rotation[3])
var fl = 0.0
for(var i=0; i<3; ++i) {
fl += Math.pow(center[i] - eye[i], 2)
}
this.radius.set(t, 0.5 * Math.log(Math.max(fl, 1e-6)))
this.center.set(t, center[0], center[1], center[2])
}
proto.translate = function(t, dx, dy, dz) {
this.center.move(t,
dx||0.0,
dy||0.0,
dz||0.0)
}
proto.setMatrix = function(t, matrix) {
var rotation = this.computedRotation
quatFromFrame(rotation,
matrix[0], matrix[1], matrix[2],
matrix[4], matrix[5], matrix[6],
matrix[8], matrix[9], matrix[10])
normalize4(rotation, rotation)
this.rotation.set(t, rotation[0], rotation[1], rotation[2], rotation[3])
var mat = this.computedMatrix
invert44(mat, matrix)
var w = mat[15]
if(Math.abs(w) > 1e-6) {
var cx = mat[12]/w
var cy = mat[13]/w
var cz = mat[14]/w
this.recalcMatrix(t)
var r = Math.exp(this.computedRadius[0])
this.center.set(t, cx-mat[2]*r, cy-mat[6]*r, cz-mat[10]*r)
this.radius.idle(t)
} else {
this.center.idle(t)
this.radius.idle(t)
}
}
proto.setDistance = function(t, d) {
if(d > 0) {
this.radius.set(t, Math.log(d))
}
}
proto.setDistanceLimits = function(lo, hi) {
if(lo > 0) {
lo = Math.log(lo)
} else {
lo = -Infinity
}
if(hi > 0) {
hi = Math.log(hi)
} else {
hi = Infinity
}
hi = Math.max(hi, lo)
this.radius.bounds[0][0] = lo
this.radius.bounds[1][0] = hi
}
proto.getDistanceLimits = function(out) {
var bounds = this.radius.bounds
if(out) {
out[0] = Math.exp(bounds[0][0])
out[1] = Math.exp(bounds[1][0])
return out
}
return [ Math.exp(bounds[0][0]), Math.exp(bounds[1][0]) ]
}
proto.toJSON = function() {
this.recalcMatrix(this.lastT())
return {
center: this.computedCenter.slice(),
rotation: this.computedRotation.slice(),
distance: Math.log(this.computedRadius[0]),
zoomMin: this.radius.bounds[0][0],
zoomMax: this.radius.bounds[1][0]
}
}
proto.fromJSON = function(options) {
var t = this.lastT()
var c = options.center
if(c) {
this.center.set(t, c[0], c[1], c[2])
}
var r = options.rotation
if(r) {
this.rotation.set(t, r[0], r[1], r[2], r[3])
}
var d = options.distance
if(d && d > 0) {
this.radius.set(t, Math.log(d))
}
this.setDistanceLimits(options.zoomMin, options.zoomMax)
}
function createOrbitController(options) {
options = options || {}
var center = options.center || [0,0,0]
var rotation = options.rotation || [0,0,0,1]
var radius = options.radius || 1.0
center = [].slice.call(center, 0, 3)
rotation = [].slice.call(rotation, 0, 4)
normalize4(rotation, rotation)
var result = new OrbitCameraController(
rotation,
center,
Math.log(radius))
result.setDistanceLimits(options.zoomMin, options.zoomMax)
if('eye' in options || 'up' in options) {
result.lookAt(0, options.eye, options.center, options.up)
}
return result
}
},{"./lib/quatFromFrame":211,"filtered-vector":73,"gl-mat4/fromQuat":91,"gl-mat4/invert":94,"gl-mat4/lookAt":95}],213:[function(require,module,exports){
/*!
* pad-left <https://github.com/jonschlinkert/pad-left>
*
* Copyright (c) 2014-2015, Jon Schlinkert.
* Licensed under the MIT license.
*/
'use strict';
var repeat = require('repeat-string');
module.exports = function padLeft(str, num, ch) {
ch = typeof ch !== 'undefined' ? (ch + '') : ' ';
return repeat(ch, num) + str;
};
},{"repeat-string":227}],214:[function(require,module,exports){
module.exports = function parseUnit(str, out) {
if (!out)
out = [ 0, '' ]
str = String(str)
var num = parseFloat(str, 10)
out[0] = num
out[1] = str.match(/[\d.\-\+]*\s*(.*)/)[1] || ''
return out
}
},{}],215:[function(require,module,exports){
"use strict"
module.exports = permutationSign
var BRUTE_FORCE_CUTOFF = 32
var pool = require("typedarray-pool")
function permutationSign(p) {
var n = p.length
if(n < BRUTE_FORCE_CUTOFF) {
//Use quadratic algorithm for small n
var sgn = 1
for(var i=0; i<n; ++i) {
for(var j=0; j<i; ++j) {
if(p[i] < p[j]) {
sgn = -sgn
} else if(p[i] === p[j]) {
return 0
}
}
}
return sgn
} else {
//Otherwise use linear time algorithm
var visited = pool.mallocUint8(n)
for(var i=0; i<n; ++i) {
visited[i] = 0
}
var sgn = 1
for(var i=0; i<n; ++i) {
if(!visited[i]) {
var count = 1
visited[i] = 1
for(var j=p[i]; j!==i; j=p[j]) {
if(visited[j]) {
pool.freeUint8(visited)
return 0
}
count += 1
visited[j] = 1
}
if(!(count & 1)) {
sgn = -sgn
}
}
}
pool.freeUint8(visited)
return sgn
}
}
},{"typedarray-pool":257}],216:[function(require,module,exports){
"use strict"
var pool = require("typedarray-pool")
var inverse = require("invert-permutation")
function rank(permutation) {
var n = permutation.length
switch(n) {
case 0:
case 1:
return 0
case 2:
return permutation[1]
default:
break
}
var p = pool.mallocUint32(n)
var pinv = pool.mallocUint32(n)
var r = 0, s, t, i
inverse(permutation, pinv)
for(i=0; i<n; ++i) {
p[i] = permutation[i]
}
for(i=n-1; i>0; --i) {
t = pinv[i]
s = p[i]
p[i] = p[t]
p[t] = s
pinv[i] = pinv[s]
pinv[s] = t
r = (r + s) * i
}
pool.freeUint32(pinv)
pool.freeUint32(p)
return r
}
function unrank(n, r, p) {
switch(n) {
case 0:
if(p) { return p }
return []
case 1:
if(p) {
p[0] = 0
return p
} else {
return [0]
}
case 2:
if(p) {
if(r) {
p[0] = 0
p[1] = 1
} else {
p[0] = 1
p[1] = 0
}
return p
} else {
return r ? [0,1] : [1,0]
}
default:
break
}
p = p || new Array(n)
var s, t, i, nf=1
p[0] = 0
for(i=1; i<n; ++i) {
p[i] = i
nf = (nf*i)|0
}
for(i=n-1; i>0; --i) {
s = (r / nf)|0
r = (r - s * nf)|0
nf = (nf / i)|0
t = p[i]|0
p[i] = p[s]|0
p[s] = t|0
}
return p
}
exports.rank = rank
exports.unrank = unrank
},{"invert-permutation":190,"typedarray-pool":257}],217:[function(require,module,exports){
"use strict"
module.exports = planarDual
var compareAngle = require("compare-angle")
function planarDual(cells, positions) {
var numVertices = positions.length|0
var numEdges = cells.length
var adj = [new Array(numVertices), new Array(numVertices)]
for(var i=0; i<numVertices; ++i) {
adj[0][i] = []
adj[1][i] = []
}
for(var i=0; i<numEdges; ++i) {
var c = cells[i]
adj[0][c[0]].push(c)
adj[1][c[1]].push(c)
}
var cycles = []
//Add isolated vertices as trivial case
for(var i=0; i<numVertices; ++i) {
if(adj[0][i].length + adj[1][i].length === 0) {
cycles.push( [i] )
}
}
//Remove a half edge
function cut(c, i) {
var a = adj[i][c[i]]
a.splice(a.indexOf(c), 1)
}
//Find next vertex and cut edge
function next(a, b, noCut) {
var nextCell, nextVertex, nextDir
for(var i=0; i<2; ++i) {
if(adj[i][b].length > 0) {
nextCell = adj[i][b][0]
nextDir = i
break
}
}
nextVertex = nextCell[nextDir^1]
for(var dir=0; dir<2; ++dir) {
var nbhd = adj[dir][b]
for(var k=0; k<nbhd.length; ++k) {
var e = nbhd[k]
var p = e[dir^1]
var cmp = compareAngle(
positions[a],
positions[b],
positions[nextVertex],
positions[p])
if(cmp > 0) {
nextCell = e
nextVertex = p
nextDir = dir
}
}
}
if(noCut) {
return nextVertex
}
if(nextCell) {
cut(nextCell, nextDir)
}
return nextVertex
}
function extractCycle(v, dir) {
var e0 = adj[dir][v][0]
var cycle = [v]
cut(e0, dir)
var u = e0[dir^1]
var d0 = dir
while(true) {
while(u !== v) {
cycle.push(u)
u = next(cycle[cycle.length-2], u, false)
}
if(adj[0][v].length + adj[1][v].length === 0) {
break
}
var a = cycle[cycle.length-1]
var b = v
var c = cycle[1]
var d = next(a, b, true)
if(compareAngle(positions[a], positions[b], positions[c], positions[d]) < 0) {
break
}
cycle.push(v)
u = next(a, b)
}
return cycle
}
function shouldGlue(pcycle, ncycle) {
return (ncycle[1] === ncycle[ncycle.length-1])
}
for(var i=0; i<numVertices; ++i) {
for(var j=0; j<2; ++j) {
var pcycle = []
while(adj[j][i].length > 0) {
var ni = adj[0][i].length
var ncycle = extractCycle(i,j)
if(shouldGlue(pcycle, ncycle)) {
//Glue together trivial cycles
pcycle.push.apply(pcycle, ncycle)
} else {
if(pcycle.length > 0) {
cycles.push(pcycle)
}
pcycle = ncycle
}
}
if(pcycle.length > 0) {
cycles.push(pcycle)
}
}
}
//Combine paths and loops together
return cycles
}
},{"compare-angle":58}],218:[function(require,module,exports){
'use strict'
module.exports = trimLeaves
var e2a = require('edges-to-adjacency-list')
function trimLeaves(edges, positions) {
var adj = e2a(edges, positions.length)
var live = new Array(positions.length)
var nbhd = new Array(positions.length)
var dead = []
for(var i=0; i<positions.length; ++i) {
var count = adj[i].length
nbhd[i] = count
live[i] = true
if(count <= 1) {
dead.push(i)
}
}
while(dead.length > 0) {
var v = dead.pop()
live[v] = false
var n = adj[v]
for(var i=0; i<n.length; ++i) {
var u = n[i]
if(--nbhd[u] === 0) {
dead.push(u)
}
}
}
var newIndex = new Array(positions.length)
var npositions = []
for(var i=0; i<positions.length; ++i) {
if(live[i]) {
var v = npositions.length
newIndex[i] = v
npositions.push(positions[i])
} else {
newIndex[i] = -1
}
}
var nedges = []
for(var i=0; i<edges.length; ++i) {
var e = edges[i]
if(live[e[0]] && live[e[1]]) {
nedges.push([ newIndex[e[0]], newIndex[e[1]] ])
}
}
return [ nedges, npositions ]
}
},{"edges-to-adjacency-list":71}],219:[function(require,module,exports){
'use strict'
module.exports = planarGraphToPolyline
var e2a = require('edges-to-adjacency-list')
var planarDual = require('planar-dual')
var preprocessPolygon = require('point-in-big-polygon')
var twoProduct = require('two-product')
var robustSum = require('robust-sum')
var uniq = require('uniq')
var trimLeaves = require('./lib/trim-leaves')
function makeArray(length, fill) {
var result = new Array(length)
for(var i=0; i<length; ++i) {
result[i] = fill
}
return result
}
function makeArrayOfArrays(length) {
var result = new Array(length)
for(var i=0; i<length; ++i) {
result[i] = []
}
return result
}
function planarGraphToPolyline(edges, positions) {
//Trim leaves
var result = trimLeaves(edges, positions)
edges = result[0]
positions = result[1]
var numVertices = positions.length
var numEdges = edges.length
//Calculate adjacency list, check manifold
var adj = e2a(edges, positions.length)
for(var i=0; i<numVertices; ++i) {
if(adj[i].length % 2 === 1) {
throw new Error('planar-graph-to-polyline: graph must be manifold')
}
}
//Get faces
var faces = planarDual(edges, positions)
//Check orientation of a polygon using exact arithmetic
function ccw(c) {
var n = c.length
var area = [0]
for(var j=0; j<n; ++j) {
var a = positions[c[j]]
var b = positions[c[(j+1)%n]]
var t00 = twoProduct(-a[0], a[1])
var t01 = twoProduct(-a[0], b[1])
var t10 = twoProduct( b[0], a[1])
var t11 = twoProduct( b[0], b[1])
area = robustSum(area, robustSum(robustSum(t00, t01), robustSum(t10, t11)))
}
return area[area.length-1] > 0
}
//Extract all clockwise faces
faces = faces.filter(ccw)
//Detect which loops are contained in one another to handle parent-of relation
var numFaces = faces.length
var parent = new Array(numFaces)
var containment = new Array(numFaces)
for(var i=0; i<numFaces; ++i) {
parent[i] = i
var row = new Array(numFaces)
var loopVertices = faces[i].map(function(v) {
return positions[v]
})
var pmc = preprocessPolygon([loopVertices])
var count = 0
outer:
for(var j=0; j<numFaces; ++j) {
row[j] = 0
if(i === j) {
continue
}
var c = faces[j]
var n = c.length
for(var k=0; k<n; ++k) {
var d = pmc(positions[c[k]])
if(d !== 0) {
if(d < 0) {
row[j] = 1
count += 1
}
continue outer
}
}
row[j] = 1
count += 1
}
containment[i] = [count, i, row]
}
containment.sort(function(a,b) {
return b[0] - a[0]
})
for(var i=0; i<numFaces; ++i) {
var row = containment[i]
var idx = row[1]
var children = row[2]
for(var j=0; j<numFaces; ++j) {
if(children[j]) {
parent[j] = idx
}
}
}
//Initialize face adjacency list
var fadj = makeArrayOfArrays(numFaces)
for(var i=0; i<numFaces; ++i) {
fadj[i].push(parent[i])
fadj[parent[i]].push(i)
}
//Build adjacency matrix for edges
var edgeAdjacency = {}
var internalVertices = makeArray(numVertices, false)
for(var i=0; i<numFaces; ++i) {
var c = faces[i]
var n = c.length
for(var j=0; j<n; ++j) {
var a = c[j]
var b = c[(j+1)%n]
var key = Math.min(a,b) + ":" + Math.max(a,b)
if(key in edgeAdjacency) {
var neighbor = edgeAdjacency[key]
fadj[neighbor].push(i)
fadj[i].push(neighbor)
internalVertices[a] = internalVertices[b] = true
} else {
edgeAdjacency[key] = i
}
}
}
function sharedBoundary(c) {
var n = c.length
for(var i=0; i<n; ++i) {
if(!internalVertices[c[i]]) {
return false
}
}
return true
}
var toVisit = []
var parity = makeArray(numFaces, -1)
for(var i=0; i<numFaces; ++i) {
if(parent[i] === i && !sharedBoundary(faces[i])) {
toVisit.push(i)
parity[i] = 0
} else {
parity[i] = -1
}
}
//Using face adjacency, classify faces as in/out
var result = []
while(toVisit.length > 0) {
var top = toVisit.pop()
var nbhd = fadj[top]
uniq(nbhd, function(a,b) {
return a-b
})
var nnbhr = nbhd.length
var p = parity[top]
var polyline
if(p === 0) {
var c = faces[top]
polyline = [c]
}
for(var i=0; i<nnbhr; ++i) {
var f = nbhd[i]
if(parity[f] >= 0) {
continue
}
parity[f] = p^1
toVisit.push(f)
if(p === 0) {
var c = faces[f]
if(!sharedBoundary(c)) {
c.reverse()
polyline.push(c)
}
}
}
if(p === 0) {
result.push(polyline)
}
}
return result
}
},{"./lib/trim-leaves":218,"edges-to-adjacency-list":71,"planar-dual":217,"point-in-big-polygon":220,"robust-sum":239,"two-product":255,"uniq":259}],220:[function(require,module,exports){
module.exports = preprocessPolygon
var orient = require('robust-orientation')[3]
var makeSlabs = require('slab-decomposition')
var makeIntervalTree = require('interval-tree-1d')
var bsearch = require('binary-search-bounds')
function visitInterval() {
return true
}
function intervalSearch(table) {
return function(x, y) {
var tree = table[x]
if(tree) {
return !!tree.queryPoint(y, visitInterval)
}
return false
}
}
function buildVerticalIndex(segments) {
var table = {}
for(var i=0; i<segments.length; ++i) {
var s = segments[i]
var x = s[0][0]
var y0 = s[0][1]
var y1 = s[1][1]
var p = [ Math.min(y0, y1), Math.max(y0, y1) ]
if(x in table) {
table[x].push(p)
} else {
table[x] = [ p ]
}
}
var intervalTable = {}
var keys = Object.keys(table)
for(var i=0; i<keys.length; ++i) {
var segs = table[keys[i]]
intervalTable[keys[i]] = makeIntervalTree(segs)
}
return intervalSearch(intervalTable)
}
function buildSlabSearch(slabs, coordinates) {
return function(p) {
var bucket = bsearch.le(coordinates, p[0])
if(bucket < 0) {
return 1
}
var root = slabs[bucket]
if(!root) {
if(bucket > 0 && coordinates[bucket] === p[0]) {
root = slabs[bucket-1]
} else {
return 1
}
}
var lastOrientation = 1
while(root) {
var s = root.key
var o = orient(p, s[0], s[1])
if(s[0][0] < s[1][0]) {
if(o < 0) {
root = root.left
} else if(o > 0) {
lastOrientation = -1
root = root.right
} else {
return 0
}
} else {
if(o > 0) {
root = root.left
} else if(o < 0) {
lastOrientation = 1
root = root.right
} else {
return 0
}
}
}
return lastOrientation
}
}
function classifyEmpty(p) {
return 1
}
function createClassifyVertical(testVertical) {
return function classify(p) {
if(testVertical(p[0], p[1])) {
return 0
}
return 1
}
}
function createClassifyPointDegen(testVertical, testNormal) {
return function classify(p) {
if(testVertical(p[0], p[1])) {
return 0
}
return testNormal(p)
}
}
function preprocessPolygon(loops) {
//Compute number of loops
var numLoops = loops.length
//Unpack segments
var segments = []
var vsegments = []
var ptr = 0
for(var i=0; i<numLoops; ++i) {
var loop = loops[i]
var numVertices = loop.length
for(var s=numVertices-1,t=0; t<numVertices; s=(t++)) {
var a = loop[s]
var b = loop[t]
if(a[0] === b[0]) {
vsegments.push([a,b])
} else {
segments.push([a,b])
}
}
}
//Degenerate case: All loops are empty
if(segments.length === 0) {
if(vsegments.length === 0) {
return classifyEmpty
} else {
return createClassifyVertical(buildVerticalIndex(vsegments))
}
}
//Build slab decomposition
var slabs = makeSlabs(segments)
var testSlab = buildSlabSearch(slabs.slabs, slabs.coordinates)
if(vsegments.length === 0) {
return testSlab
} else {
return createClassifyPointDegen(
buildVerticalIndex(vsegments),
testSlab)
}
}
},{"binary-search-bounds":35,"interval-tree-1d":189,"robust-orientation":234,"slab-decomposition":248}],221:[function(require,module,exports){
//Optimized version for triangle closest point
// Based on Eberly's WildMagick codes
// http://www.geometrictools.com/LibMathematics/Distance/Distance.html
"use strict";
var diff = new Float64Array(4);
var edge0 = new Float64Array(4);
var edge1 = new Float64Array(4);
function closestPoint2d(V0, V1, V2, point, result) {
//Reallocate buffers if necessary
if(diff.length < point.length) {
diff = new Float64Array(point.length);
edge0 = new Float64Array(point.length);
edge1 = new Float64Array(point.length);
}
//Compute edges
for(var i=0; i<point.length; ++i) {
diff[i] = V0[i] - point[i];
edge0[i] = V1[i] - V0[i];
edge1[i] = V2[i] - V0[i];
}
//Compute coefficients for quadratic func
var a00 = 0.0
, a01 = 0.0
, a11 = 0.0
, b0 = 0.0
, b1 = 0.0
, c = 0.0;
for(var i=0; i<point.length; ++i) {
var e0 = edge0[i]
, e1 = edge1[i]
, d = diff[i];
a00 += e0 * e0;
a01 += e0 * e1;
a11 += e1 * e1;
b0 += d * e0;
b1 += d * e1;
c += d * d;
}
//Compute determinant/coeffs
var det = Math.abs(a00*a11 - a01*a01);
var s = a01*b1 - a11*b0;
var t = a01*b0 - a00*b1;
var sqrDistance;
//Hardcoded Voronoi diagram classification
if (s + t <= det) {
if (s < 0) {
if (t < 0) { // region 4
if (b0 < 0) {
t = 0;
if (-b0 >= a00) {
s = 1.0;
sqrDistance = a00 + 2.0*b0 + c;
} else {
s = -b0/a00;
sqrDistance = b0*s + c;
}
} else {
s = 0;
if (b1 >= 0) {
t = 0;
sqrDistance = c;
} else if (-b1 >= a11) {
t = 1;
sqrDistance = a11 + 2.0*b1 + c;
} else {
t = -b1/a11;
sqrDistance = b1*t + c;
}
}
} else { // region 3
s = 0;
if (b1 >= 0) {
t = 0;
sqrDistance = c;
} else if (-b1 >= a11) {
t = 1;
sqrDistance = a11 + 2.0*b1 + c;
} else {
t = -b1/a11;
sqrDistance = b1*t + c;
}
}
} else if (t < 0) { // region 5
t = 0;
if (b0 >= 0) {
s = 0;
sqrDistance = c;
} else if (-b0 >= a00) {
s = 1;
sqrDistance = a00 + 2.0*b0 + c;
} else {
s = -b0/a00;
sqrDistance = b0*s + c;
}
} else { // region 0
// minimum at interior point
var invDet = 1.0 / det;
s *= invDet;
t *= invDet;
sqrDistance = s*(a00*s + a01*t + 2.0*b0) + t*(a01*s + a11*t + 2.0*b1) + c;
}
} else {
var tmp0, tmp1, numer, denom;
if (s < 0) { // region 2
tmp0 = a01 + b0;
tmp1 = a11 + b1;
if (tmp1 > tmp0) {
numer = tmp1 - tmp0;
denom = a00 - 2.0*a01 + a11;
if (numer >= denom) {
s = 1;
t = 0;
sqrDistance = a00 + 2.0*b0 + c;
} else {
s = numer/denom;
t = 1 - s;
sqrDistance = s*(a00*s + a01*t + 2.0*b0) +
t*(a01*s + a11*t + 2.0*b1) + c;
}
} else {
s = 0;
if (tmp1 <= 0) {
t = 1;
sqrDistance = a11 + 2.0*b1 + c;
} else if (b1 >= 0) {
t = 0;
sqrDistance = c;
} else {
t = -b1/a11;
sqrDistance = b1*t + c;
}
}
} else if (t < 0) { // region 6
tmp0 = a01 + b1;
tmp1 = a00 + b0;
if (tmp1 > tmp0) {
numer = tmp1 - tmp0;
denom = a00 - 2.0*a01 + a11;
if (numer >= denom) {
t = 1;
s = 0;
sqrDistance = a11 + 2.0*b1 + c;
} else {
t = numer/denom;
s = 1 - t;
sqrDistance = s*(a00*s + a01*t + 2.0*b0) +
t*(a01*s + a11*t + 2.0*b1) + c;
}
} else {
t = 0;
if (tmp1 <= 0) {
s = 1;
sqrDistance = a00 + 2.0*b0 + c;
} else if (b0 >= 0) {
s = 0;
sqrDistance = c;
} else {
s = -b0/a00;
sqrDistance = b0*s + c;
}
}
} else { // region 1
numer = a11 + b1 - a01 - b0;
if (numer <= 0) {
s = 0;
t = 1;
sqrDistance = a11 + 2.0*b1 + c;
} else {
denom = a00 - 2.0*a01 + a11;
if (numer >= denom) {
s = 1;
t = 0;
sqrDistance = a00 + 2.0*b0 + c;
} else {
s = numer/denom;
t = 1 - s;
sqrDistance = s*(a00*s + a01*t + 2.0*b0) +
t*(a01*s + a11*t + 2.0*b1) + c;
}
}
}
}
var u = 1.0 - s - t;
for(var i=0; i<point.length; ++i) {
result[i] = u * V0[i] + s * V1[i] + t * V2[i];
}
if(sqrDistance < 0) {
return 0;
}
return sqrDistance;
}
module.exports = closestPoint2d;
},{}],222:[function(require,module,exports){
module.exports = require('gl-quat/slerp')
},{"gl-quat/slerp":105}],223:[function(require,module,exports){
'use strict'
var bnadd = require('big-rat/add')
module.exports = add
function add (a, b) {
var n = a.length
var r = new Array(n)
for (var i=0; i<n; ++i) {
r[i] = bnadd(a[i], b[i])
}
return r
}
},{"big-rat/add":19}],224:[function(require,module,exports){
'use strict'
module.exports = float2rat
var rat = require('big-rat')
function float2rat(v) {
var result = new Array(v.length)
for(var i=0; i<v.length; ++i) {
result[i] = rat(v[i])
}
return result
}
},{"big-rat":22}],225:[function(require,module,exports){
'use strict'
var rat = require('big-rat')
var mul = require('big-rat/mul')
module.exports = muls
function muls(a, x) {
var s = rat(x)
var n = a.length
var r = new Array(n)
for(var i=0; i<n; ++i) {
r[i] = mul(a[i], s)
}
return r
}
},{"big-rat":22,"big-rat/mul":31}],226:[function(require,module,exports){
'use strict'
var bnsub = require('big-rat/sub')
module.exports = sub
function sub(a, b) {
var n = a.length
var r = new Array(n)
for(var i=0; i<n; ++i) {
r[i] = bnsub(a[i], b[i])
}
return r
}
},{"big-rat/sub":33}],227:[function(require,module,exports){
/*!
* repeat-string <https://github.com/jonschlinkert/repeat-string>
*
* Copyright (c) 2014-2015, Jon Schlinkert.
* Licensed under the MIT License.
*/
'use strict';
/**
* Results cache
*/
var res = '';
var cache;
/**
* Expose `repeat`
*/
module.exports = repeat;
/**
* Repeat the given `string` the specified `number`
* of times.
*
* **Example:**
*
* ```js
* var repeat = require('repeat-string');
* repeat('A', 5);
* //=> AAAAA
* ```
*
* @param {String} `string` The string to repeat
* @param {Number} `number` The number of times to repeat the string
* @return {String} Repeated string
* @api public
*/
function repeat(str, num) {
if (typeof str !== 'string') {
throw new TypeError('expected a string');
}
// cover common, quick use cases
if (num === 1) return str;
if (num === 2) return str + str;
var max = str.length * num;
if (cache !== str || typeof cache === 'undefined') {
cache = str;
res = '';
} else if (res.length >= max) {
return res.substr(0, max);
}
while (max > res.length && num > 1) {
if (num & 1) {
res += str;
}
num >>= 1;
str += str;
}
res += str;
res = res.substr(0, max);
return res;
}
},{}],228:[function(require,module,exports){
(function (global){
module.exports =
global.performance &&
global.performance.now ? function now() {
return performance.now()
} : Date.now || function now() {
return +new Date
}
}).call(this,typeof global !== "undefined" ? global : typeof self !== "undefined" ? self : typeof window !== "undefined" ? window : {})
},{}],229:[function(require,module,exports){
"use strict"
module.exports = compressExpansion
function compressExpansion(e) {
var m = e.length
var Q = e[e.length-1]
var bottom = m
for(var i=m-2; i>=0; --i) {
var a = Q
var b = e[i]
Q = a + b
var bv = Q - a
var q = b - bv
if(q) {
e[--bottom] = Q
Q = q
}
}
var top = 0
for(var i=bottom; i<m; ++i) {
var a = e[i]
var b = Q
Q = a + b
var bv = Q - a
var q = b - bv
if(q) {
e[top++] = q
}
}
e[top++] = Q
e.length = top
return e
}
},{}],230:[function(require,module,exports){
"use strict"
var twoProduct = require("two-product")
var robustSum = require("robust-sum")
var robustScale = require("robust-scale")
var compress = require("robust-compress")
var NUM_EXPANDED = 6
function cofactor(m, c) {
var result = new Array(m.length-1)
for(var i=1; i<m.length; ++i) {
var r = result[i-1] = new Array(m.length-1)
for(var j=0,k=0; j<m.length; ++j) {
if(j === c) {
continue
}
r[k++] = m[i][j]
}
}
return result
}
function matrix(n) {
var result = new Array(n)
for(var i=0; i<n; ++i) {
result[i] = new Array(n)
for(var j=0; j<n; ++j) {
result[i][j] = ["m[", i, "][", j, "]"].join("")
}
}
return result
}
function sign(n) {
if(n & 1) {
return "-"
}
return ""
}
function generateSum(expr) {
if(expr.length === 1) {
return expr[0]
} else if(expr.length === 2) {
return ["sum(", expr[0], ",", expr[1], ")"].join("")
} else {
var m = expr.length>>1
return ["sum(", generateSum(expr.slice(0, m)), ",", generateSum(expr.slice(m)), ")"].join("")
}
}
function determinant(m) {
if(m.length === 2) {
return ["sum(prod(", m[0][0], ",", m[1][1], "),prod(-", m[0][1], ",", m[1][0], "))"].join("")
} else {
var expr = []
for(var i=0; i<m.length; ++i) {
expr.push(["scale(", determinant(cofactor(m, i)), ",", sign(i), m[0][i], ")"].join(""))
}
return generateSum(expr)
}
}
function compileDeterminant(n) {
var proc = new Function("sum", "scale", "prod", "compress", [
"function robustDeterminant",n, "(m){return compress(",
determinant(matrix(n)),
")};return robustDeterminant", n].join(""))
return proc(robustSum, robustScale, twoProduct, compress)
}
var CACHE = [
function robustDeterminant0() { return [0] },
function robustDeterminant1(m) { return [m[0][0]] }
]
function generateDispatch() {
while(CACHE.length < NUM_EXPANDED) {
CACHE.push(compileDeterminant(CACHE.length))
}
var procArgs = []
var code = ["function robustDeterminant(m){switch(m.length){"]
for(var i=0; i<NUM_EXPANDED; ++i) {
procArgs.push("det" + i)
code.push("case ", i, ":return det", i, "(m);")
}
code.push("}\
var det=CACHE[m.length];\
if(!det)\
det=CACHE[m.length]=gen(m.length);\
return det(m);\
}\
return robustDeterminant")
procArgs.push("CACHE", "gen", code.join(""))
var proc = Function.apply(undefined, procArgs)
module.exports = proc.apply(undefined, CACHE.concat([CACHE, compileDeterminant]))
for(var i=0; i<CACHE.length; ++i) {
module.exports[i] = CACHE[i]
}
}
generateDispatch()
},{"robust-compress":229,"robust-scale":236,"robust-sum":239,"two-product":255}],231:[function(require,module,exports){
"use strict"
var twoProduct = require("two-product")
var robustSum = require("robust-sum")
module.exports = robustDotProduct
function robustDotProduct(a, b) {
var r = twoProduct(a[0], b[0])
for(var i=1; i<a.length; ++i) {
r = robustSum(r, twoProduct(a[i], b[i]))
}
return r
}
},{"robust-sum":239,"two-product":255}],232:[function(require,module,exports){
"use strict"
var twoProduct = require("two-product")
var robustSum = require("robust-sum")
var robustDiff = require("robust-subtract")
var robustScale = require("robust-scale")
var NUM_EXPAND = 6
function cofactor(m, c) {
var result = new Array(m.length-1)
for(var i=1; i<m.length; ++i) {
var r = result[i-1] = new Array(m.length-1)
for(var j=0,k=0; j<m.length; ++j) {
if(j === c) {
continue
}
r[k++] = m[i][j]
}
}
return result
}
function matrix(n) {
var result = new Array(n)
for(var i=0; i<n; ++i) {
result[i] = new Array(n)
for(var j=0; j<n; ++j) {
result[i][j] = ["m", j, "[", (n-i-2), "]"].join("")
}
}
return result
}
function generateSum(expr) {
if(expr.length === 1) {
return expr[0]
} else if(expr.length === 2) {
return ["sum(", expr[0], ",", expr[1], ")"].join("")
} else {
var m = expr.length>>1
return ["sum(", generateSum(expr.slice(0, m)), ",", generateSum(expr.slice(m)), ")"].join("")
}
}
function makeProduct(a, b) {
if(a.charAt(0) === "m") {
if(b.charAt(0) === "w") {
var toks = a.split("[")
return ["w", b.substr(1), "m", toks[0].substr(1)].join("")
} else {
return ["prod(", a, ",", b, ")"].join("")
}
} else {
return makeProduct(b, a)
}
}
function sign(s) {
if(s & 1 !== 0) {
return "-"
}
return ""
}
function determinant(m) {
if(m.length === 2) {
return [["diff(", makeProduct(m[0][0], m[1][1]), ",", makeProduct(m[1][0], m[0][1]), ")"].join("")]
} else {
var expr = []
for(var i=0; i<m.length; ++i) {
expr.push(["scale(", generateSum(determinant(cofactor(m, i))), ",", sign(i), m[0][i], ")"].join(""))
}
return expr
}
}
function makeSquare(d, n) {
var terms = []
for(var i=0; i<n-2; ++i) {
terms.push(["prod(m", d, "[", i, "],m", d, "[", i, "])"].join(""))
}
return generateSum(terms)
}
function orientation(n) {
var pos = []
var neg = []
var m = matrix(n)
for(var i=0; i<n; ++i) {
m[0][i] = "1"
m[n-1][i] = "w"+i
}
for(var i=0; i<n; ++i) {
if((i&1)===0) {
pos.push.apply(pos,determinant(cofactor(m, i)))
} else {
neg.push.apply(neg,determinant(cofactor(m, i)))
}
}
var posExpr = generateSum(pos)
var negExpr = generateSum(neg)
var funcName = "exactInSphere" + n
var funcArgs = []
for(var i=0; i<n; ++i) {
funcArgs.push("m" + i)
}
var code = ["function ", funcName, "(", funcArgs.join(), "){"]
for(var i=0; i<n; ++i) {
code.push("var w",i,"=",makeSquare(i,n),";")
for(var j=0; j<n; ++j) {
if(j !== i) {
code.push("var w",i,"m",j,"=scale(w",i,",m",j,"[0]);")
}
}
}
code.push("var p=", posExpr, ",n=", negExpr, ",d=diff(p,n);return d[d.length-1];}return ", funcName)
var proc = new Function("sum", "diff", "prod", "scale", code.join(""))
return proc(robustSum, robustDiff, twoProduct, robustScale)
}
function inSphere0() { return 0 }
function inSphere1() { return 0 }
function inSphere2() { return 0 }
var CACHED = [
inSphere0,
inSphere1,
inSphere2
]
function slowInSphere(args) {
var proc = CACHED[args.length]
if(!proc) {
proc = CACHED[args.length] = orientation(args.length)
}
return proc.apply(undefined, args)
}
function generateInSphereTest() {
while(CACHED.length <= NUM_EXPAND) {
CACHED.push(orientation(CACHED.length))
}
var args = []
var procArgs = ["slow"]
for(var i=0; i<=NUM_EXPAND; ++i) {
args.push("a" + i)
procArgs.push("o" + i)
}
var code = [
"function testInSphere(", args.join(), "){switch(arguments.length){case 0:case 1:return 0;"
]
for(var i=2; i<=NUM_EXPAND; ++i) {
code.push("case ", i, ":return o", i, "(", args.slice(0, i).join(), ");")
}
code.push("}var s=new Array(arguments.length);for(var i=0;i<arguments.length;++i){s[i]=arguments[i]};return slow(s);}return testInSphere")
procArgs.push(code.join(""))
var proc = Function.apply(undefined, procArgs)
module.exports = proc.apply(undefined, [slowInSphere].concat(CACHED))
for(var i=0; i<=NUM_EXPAND; ++i) {
module.exports[i] = CACHED[i]
}
}
generateInSphereTest()
},{"robust-scale":236,"robust-subtract":238,"robust-sum":239,"two-product":255}],233:[function(require,module,exports){
"use strict"
var determinant = require("robust-determinant")
var NUM_EXPAND = 6
function generateSolver(n) {
var funcName = "robustLinearSolve" + n + "d"
var code = ["function ", funcName, "(A,b){return ["]
for(var i=0; i<n; ++i) {
code.push("det([")
for(var j=0; j<n; ++j) {
if(j > 0) {
code.push(",")
}
code.push("[")
for(var k=0; k<n; ++k) {
if(k > 0) {
code.push(",")
}
if(k === i) {
code.push("+b[", j, "]")
} else {
code.push("+A[", j, "][", k, "]")
}
}
code.push("]")
}
code.push("]),")
}
code.push("det(A)]}return ", funcName)
var proc = new Function("det", code.join(""))
if(n < 6) {
return proc(determinant[n])
}
return proc(determinant)
}
function robustLinearSolve0d() {
return [ 0 ]
}
function robustLinearSolve1d(A, b) {
return [ [ b[0] ], [ A[0][0] ] ]
}
var CACHE = [
robustLinearSolve0d,
robustLinearSolve1d
]
function generateDispatch() {
while(CACHE.length < NUM_EXPAND) {
CACHE.push(generateSolver(CACHE.length))
}
var procArgs = []
var code = ["function dispatchLinearSolve(A,b){switch(A.length){"]
for(var i=0; i<NUM_EXPAND; ++i) {
procArgs.push("s" + i)
code.push("case ", i, ":return s", i, "(A,b);")
}
code.push("}var s=CACHE[A.length];if(!s)s=CACHE[A.length]=g(A.length);return s(A,b)}return dispatchLinearSolve")
procArgs.push("CACHE", "g", code.join(""))
var proc = Function.apply(undefined, procArgs)
module.exports = proc.apply(undefined, CACHE.concat([CACHE, generateSolver]))
for(var i=0; i<NUM_EXPAND; ++i) {
module.exports[i] = CACHE[i]
}
}
generateDispatch()
},{"robust-determinant":230}],234:[function(require,module,exports){
"use strict"
var twoProduct = require("two-product")
var robustSum = require("robust-sum")
var robustScale = require("robust-scale")
var robustSubtract = require("robust-subtract")
var NUM_EXPAND = 5
var EPSILON = 1.1102230246251565e-16
var ERRBOUND3 = (3.0 + 16.0 * EPSILON) * EPSILON
var ERRBOUND4 = (7.0 + 56.0 * EPSILON) * EPSILON
function cofactor(m, c) {
var result = new Array(m.length-1)
for(var i=1; i<m.length; ++i) {
var r = result[i-1] = new Array(m.length-1)
for(var j=0,k=0; j<m.length; ++j) {
if(j === c) {
continue
}
r[k++] = m[i][j]
}
}
return result
}
function matrix(n) {
var result = new Array(n)
for(var i=0; i<n; ++i) {
result[i] = new Array(n)
for(var j=0; j<n; ++j) {
result[i][j] = ["m", j, "[", (n-i-1), "]"].join("")
}
}
return result
}
function sign(n) {
if(n & 1) {
return "-"
}
return ""
}
function generateSum(expr) {
if(expr.length === 1) {
return expr[0]
} else if(expr.length === 2) {
return ["sum(", expr[0], ",", expr[1], ")"].join("")
} else {
var m = expr.length>>1
return ["sum(", generateSum(expr.slice(0, m)), ",", generateSum(expr.slice(m)), ")"].join("")
}
}
function determinant(m) {
if(m.length === 2) {
return [["sum(prod(", m[0][0], ",", m[1][1], "),prod(-", m[0][1], ",", m[1][0], "))"].join("")]
} else {
var expr = []
for(var i=0; i<m.length; ++i) {
expr.push(["scale(", generateSum(determinant(cofactor(m, i))), ",", sign(i), m[0][i], ")"].join(""))
}
return expr
}
}
function orientation(n) {
var pos = []
var neg = []
var m = matrix(n)
var args = []
for(var i=0; i<n; ++i) {
if((i&1)===0) {
pos.push.apply(pos, determinant(cofactor(m, i)))
} else {
neg.push.apply(neg, determinant(cofactor(m, i)))
}
args.push("m" + i)
}
var posExpr = generateSum(pos)
var negExpr = generateSum(neg)
var funcName = "orientation" + n + "Exact"
var code = ["function ", funcName, "(", args.join(), "){var p=", posExpr, ",n=", negExpr, ",d=sub(p,n);\
return d[d.length-1];};return ", funcName].join("")
var proc = new Function("sum", "prod", "scale", "sub", code)
return proc(robustSum, twoProduct, robustScale, robustSubtract)
}
var orientation3Exact = orientation(3)
var orientation4Exact = orientation(4)
var CACHED = [
function orientation0() { return 0 },
function orientation1() { return 0 },
function orientation2(a, b) {
return b[0] - a[0]
},
function orientation3(a, b, c) {
var l = (a[1] - c[1]) * (b[0] - c[0])
var r = (a[0] - c[0]) * (b[1] - c[1])
var det = l - r
var s
if(l > 0) {
if(r <= 0) {
return det
} else {
s = l + r
}
} else if(l < 0) {
if(r >= 0) {
return det
} else {
s = -(l + r)
}
} else {
return det
}
var tol = ERRBOUND3 * s
if(det >= tol || det <= -tol) {
return det
}
return orientation3Exact(a, b, c)
},
function orientation4(a,b,c,d) {
var adx = a[0] - d[0]
var bdx = b[0] - d[0]
var cdx = c[0] - d[0]
var ady = a[1] - d[1]
var bdy = b[1] - d[1]
var cdy = c[1] - d[1]
var adz = a[2] - d[2]
var bdz = b[2] - d[2]
var cdz = c[2] - d[2]
var bdxcdy = bdx * cdy
var cdxbdy = cdx * bdy
var cdxady = cdx * ady
var adxcdy = adx * cdy
var adxbdy = adx * bdy
var bdxady = bdx * ady
var det = adz * (bdxcdy - cdxbdy)
+ bdz * (cdxady - adxcdy)
+ cdz * (adxbdy - bdxady)
var permanent = (Math.abs(bdxcdy) + Math.abs(cdxbdy)) * Math.abs(adz)
+ (Math.abs(cdxady) + Math.abs(adxcdy)) * Math.abs(bdz)
+ (Math.abs(adxbdy) + Math.abs(bdxady)) * Math.abs(cdz)
var tol = ERRBOUND4 * permanent
if ((det > tol) || (-det > tol)) {
return det
}
return orientation4Exact(a,b,c,d)
}
]
function slowOrient(args) {
var proc = CACHED[args.length]
if(!proc) {
proc = CACHED[args.length] = orientation(args.length)
}
return proc.apply(undefined, args)
}
function generateOrientationProc() {
while(CACHED.length <= NUM_EXPAND) {
CACHED.push(orientation(CACHED.length))
}
var args = []
var procArgs = ["slow"]
for(var i=0; i<=NUM_EXPAND; ++i) {
args.push("a" + i)
procArgs.push("o" + i)
}
var code = [
"function getOrientation(", args.join(), "){switch(arguments.length){case 0:case 1:return 0;"
]
for(var i=2; i<=NUM_EXPAND; ++i) {
code.push("case ", i, ":return o", i, "(", args.slice(0, i).join(), ");")
}
code.push("}var s=new Array(arguments.length);for(var i=0;i<arguments.length;++i){s[i]=arguments[i]};return slow(s);}return getOrientation")
procArgs.push(code.join(""))
var proc = Function.apply(undefined, procArgs)
module.exports = proc.apply(undefined, [slowOrient].concat(CACHED))
for(var i=0; i<=NUM_EXPAND; ++i) {
module.exports[i] = CACHED[i]
}
}
generateOrientationProc()
},{"robust-scale":236,"robust-subtract":238,"robust-sum":239,"two-product":255}],235:[function(require,module,exports){
"use strict"
var robustSum = require("robust-sum")
var robustScale = require("robust-scale")
module.exports = robustProduct
function robustProduct(a, b) {
if(a.length === 1) {
return robustScale(b, a[0])
}
if(b.length === 1) {
return robustScale(a, b[0])
}
if(a.length === 0 || b.length === 0) {
return [0]
}
var r = [0]
if(a.length < b.length) {
for(var i=0; i<a.length; ++i) {
r = robustSum(r, robustScale(b, a[i]))
}
} else {
for(var i=0; i<b.length; ++i) {
r = robustSum(r, robustScale(a, b[i]))
}
}
return r
}
},{"robust-scale":236,"robust-sum":239}],236:[function(require,module,exports){
"use strict"
var twoProduct = require("two-product")
var twoSum = require("two-sum")
module.exports = scaleLinearExpansion
function scaleLinearExpansion(e, scale) {
var n = e.length
if(n === 1) {
var ts = twoProduct(e[0], scale)
if(ts[0]) {
return ts
}
return [ ts[1] ]
}
var g = new Array(2 * n)
var q = [0.1, 0.1]
var t = [0.1, 0.1]
var count = 0
twoProduct(e[0], scale, q)
if(q[0]) {
g[count++] = q[0]
}
for(var i=1; i<n; ++i) {
twoProduct(e[i], scale, t)
var pq = q[1]
twoSum(pq, t[0], q)
if(q[0]) {
g[count++] = q[0]
}
var a = t[1]
var b = q[1]
var x = a + b
var bv = x - a
var y = b - bv
q[1] = x
if(y) {
g[count++] = y
}
}
if(q[1]) {
g[count++] = q[1]
}
if(count === 0) {
g[count++] = 0.0
}
g.length = count
return g
}
},{"two-product":255,"two-sum":256}],237:[function(require,module,exports){
"use strict"
module.exports = segmentsIntersect
var orient = require("robust-orientation")[3]
function checkCollinear(a0, a1, b0, b1) {
for(var d=0; d<2; ++d) {
var x0 = a0[d]
var y0 = a1[d]
var l0 = Math.min(x0, y0)
var h0 = Math.max(x0, y0)
var x1 = b0[d]
var y1 = b1[d]
var l1 = Math.min(x1, y1)
var h1 = Math.max(x1, y1)
if(h1 < l0 || h0 < l1) {
return false
}
}
return true
}
function segmentsIntersect(a0, a1, b0, b1) {
var x0 = orient(a0, b0, b1)
var y0 = orient(a1, b0, b1)
if((x0 > 0 && y0 > 0) || (x0 < 0 && y0 < 0)) {
return false
}
var x1 = orient(b0, a0, a1)
var y1 = orient(b1, a0, a1)
if((x1 > 0 && y1 > 0) || (x1 < 0 && y1 < 0)) {
return false
}
//Check for degenerate collinear case
if(x0 === 0 && y0 === 0 && x1 === 0 && y1 === 0) {
return checkCollinear(a0, a1, b0, b1)
}
return true
}
},{"robust-orientation":234}],238:[function(require,module,exports){
"use strict"
module.exports = robustSubtract
//Easy case: Add two scalars
function scalarScalar(a, b) {
var x = a + b
var bv = x - a
var av = x - bv
var br = b - bv
var ar = a - av
var y = ar + br
if(y) {
return [y, x]
}
return [x]
}
function robustSubtract(e, f) {
var ne = e.length|0
var nf = f.length|0
if(ne === 1 && nf === 1) {
return scalarScalar(e[0], -f[0])
}
var n = ne + nf
var g = new Array(n)
var count = 0
var eptr = 0
var fptr = 0
var abs = Math.abs
var ei = e[eptr]
var ea = abs(ei)
var fi = -f[fptr]
var fa = abs(fi)
var a, b
if(ea < fa) {
b = ei
eptr += 1
if(eptr < ne) {
ei = e[eptr]
ea = abs(ei)
}
} else {
b = fi
fptr += 1
if(fptr < nf) {
fi = -f[fptr]
fa = abs(fi)
}
}
if((eptr < ne && ea < fa) || (fptr >= nf)) {
a = ei
eptr += 1
if(eptr < ne) {
ei = e[eptr]
ea = abs(ei)
}
} else {
a = fi
fptr += 1
if(fptr < nf) {
fi = -f[fptr]
fa = abs(fi)
}
}
var x = a + b
var bv = x - a
var y = b - bv
var q0 = y
var q1 = x
var _x, _bv, _av, _br, _ar
while(eptr < ne && fptr < nf) {
if(ea < fa) {
a = ei
eptr += 1
if(eptr < ne) {
ei = e[eptr]
ea = abs(ei)
}
} else {
a = fi
fptr += 1
if(fptr < nf) {
fi = -f[fptr]
fa = abs(fi)
}
}
b = q0
x = a + b
bv = x - a
y = b - bv
if(y) {
g[count++] = y
}
_x = q1 + x
_bv = _x - q1
_av = _x - _bv
_br = x - _bv
_ar = q1 - _av
q0 = _ar + _br
q1 = _x
}
while(eptr < ne) {
a = ei
b = q0
x = a + b
bv = x - a
y = b - bv
if(y) {
g[count++] = y
}
_x = q1 + x
_bv = _x - q1
_av = _x - _bv
_br = x - _bv
_ar = q1 - _av
q0 = _ar + _br
q1 = _x
eptr += 1
if(eptr < ne) {
ei = e[eptr]
}
}
while(fptr < nf) {
a = fi
b = q0
x = a + b
bv = x - a
y = b - bv
if(y) {
g[count++] = y
}
_x = q1 + x
_bv = _x - q1
_av = _x - _bv
_br = x - _bv
_ar = q1 - _av
q0 = _ar + _br
q1 = _x
fptr += 1
if(fptr < nf) {
fi = -f[fptr]
}
}
if(q0) {
g[count++] = q0
}
if(q1) {
g[count++] = q1
}
if(!count) {
g[count++] = 0.0
}
g.length = count
return g
}
},{}],239:[function(require,module,exports){
"use strict"
module.exports = linearExpansionSum
//Easy case: Add two scalars
function scalarScalar(a, b) {
var x = a + b
var bv = x - a
var av = x - bv
var br = b - bv
var ar = a - av
var y = ar + br
if(y) {
return [y, x]
}
return [x]
}
function linearExpansionSum(e, f) {
var ne = e.length|0
var nf = f.length|0
if(ne === 1 && nf === 1) {
return scalarScalar(e[0], f[0])
}
var n = ne + nf
var g = new Array(n)
var count = 0
var eptr = 0
var fptr = 0
var abs = Math.abs
var ei = e[eptr]
var ea = abs(ei)
var fi = f[fptr]
var fa = abs(fi)
var a, b
if(ea < fa) {
b = ei
eptr += 1
if(eptr < ne) {
ei = e[eptr]
ea = abs(ei)
}
} else {
b = fi
fptr += 1
if(fptr < nf) {
fi = f[fptr]
fa = abs(fi)
}
}
if((eptr < ne && ea < fa) || (fptr >= nf)) {
a = ei
eptr += 1
if(eptr < ne) {
ei = e[eptr]
ea = abs(ei)
}
} else {
a = fi
fptr += 1
if(fptr < nf) {
fi = f[fptr]
fa = abs(fi)
}
}
var x = a + b
var bv = x - a
var y = b - bv
var q0 = y
var q1 = x
var _x, _bv, _av, _br, _ar
while(eptr < ne && fptr < nf) {
if(ea < fa) {
a = ei
eptr += 1
if(eptr < ne) {
ei = e[eptr]
ea = abs(ei)
}
} else {
a = fi
fptr += 1
if(fptr < nf) {
fi = f[fptr]
fa = abs(fi)
}
}
b = q0
x = a + b
bv = x - a
y = b - bv
if(y) {
g[count++] = y
}
_x = q1 + x
_bv = _x - q1
_av = _x - _bv
_br = x - _bv
_ar = q1 - _av
q0 = _ar + _br
q1 = _x
}
while(eptr < ne) {
a = ei
b = q0
x = a + b
bv = x - a
y = b - bv
if(y) {
g[count++] = y
}
_x = q1 + x
_bv = _x - q1
_av = _x - _bv
_br = x - _bv
_ar = q1 - _av
q0 = _ar + _br
q1 = _x
eptr += 1
if(eptr < ne) {
ei = e[eptr]
}
}
while(fptr < nf) {
a = fi
b = q0
x = a + b
bv = x - a
y = b - bv
if(y) {
g[count++] = y
}
_x = q1 + x
_bv = _x - q1
_av = _x - _bv
_br = x - _bv
_ar = q1 - _av
q0 = _ar + _br
q1 = _x
fptr += 1
if(fptr < nf) {
fi = f[fptr]
}
}
if(q0) {
g[count++] = q0
}
if(q1) {
g[count++] = q1
}
if(!count) {
g[count++] = 0.0
}
g.length = count
return g
}
},{}],240:[function(require,module,exports){
'use strict'
module.exports = extractContour
var ndarray = require('ndarray')
var pool = require('typedarray-pool')
var ndsort = require('ndarray-sort')
var contourAlgorithm = require('./lib/codegen')
function getDimension(cells) {
var numCells = cells.length
var d = 0
for(var i=0; i<numCells; ++i) {
d = Math.max(d, cells[i].length)|0
}
return d-1
}
function getSigns(values, level) {
var numVerts = values.length
var vertexSigns = pool.mallocUint8(numVerts)
for(var i=0; i<numVerts; ++i) {
vertexSigns[i] = (values[i] < level)|0
}
return vertexSigns
}
function getEdges(cells, d) {
var numCells = cells.length
var maxEdges = ((d * (d+1)/2) * numCells)|0
var edges = pool.mallocUint32(maxEdges*2)
var ePtr = 0
for(var i=0; i<numCells; ++i) {
var c = cells[i]
var d = c.length
for(var j=0; j<d; ++j) {
for(var k=0; k<j; ++k) {
var a = c[k]
var b = c[j]
edges[ePtr++] = Math.min(a,b)|0
edges[ePtr++] = Math.max(a,b)|0
}
}
}
var nedges = (ePtr/2)|0
ndsort(ndarray(edges, [nedges,2]))
var ptr = 2
for(var i=2; i<ePtr; i+=2) {
if(edges[i-2] === edges[i] &&
edges[i-1] === edges[i+1]) {
continue
}
edges[ptr++] = edges[i]
edges[ptr++] = edges[i+1]
}
return ndarray(edges, [(ptr/2)|0, 2])
}
function getCrossingWeights(edges, values, signs, level) {
var edata = edges.data
var numEdges = edges.shape[0]
var weights = pool.mallocDouble(numEdges)
var ptr = 0
for(var i=0; i<numEdges; ++i) {
var a = edata[2*i]
var b = edata[2*i+1]
if(signs[a] === signs[b]) {
continue
}
var va = values[a]
var vb = values[b]
edata[2*ptr] = a
edata[2*ptr+1] = b
weights[ptr++] = (vb - level) / (vb - va)
}
edges.shape[0] = ptr
return ndarray(weights, [ptr])
}
function getCascade(edges, numVerts) {
var result = pool.mallocInt32(numVerts*2)
var numEdges = edges.shape[0]
var edata = edges.data
result[0] = 0
var lastV = 0
for(var i=0; i<numEdges; ++i) {
var a = edata[2*i]
if(a !== lastV) {
result[2*lastV+1] = i
while(++lastV < a) {
result[2*lastV] = i
result[2*lastV+1] = i
}
result[2*lastV] = i
}
}
result[2*lastV+1] = numEdges
while(++lastV < numVerts) {
result[2*lastV] = result[2*lastV+1] = numEdges
}
return result
}
function unpackEdges(edges) {
var ne = edges.shape[0]|0
var edata = edges.data
var result = new Array(ne)
for(var i=0; i<ne; ++i) {
result[i] = [edata[2*i], edata[2*i+1]]
}
return result
}
function extractContour(cells, values, level, d) {
level = level||0.0
//If user didn't specify `d`, use brute force scan
if(typeof d === 'undefined') {
d = getDimension(cells)
}
//Count number of cells
var numCells = cells.length
if(numCells === 0 || d < 1) {
return {
cells: [],
vertexIds: [],
vertexWeights: []
}
}
//Read in vertex signs
var vertexSigns = getSigns(values, +level)
//First get 1-skeleton, find all crossings
var edges = getEdges(cells, d)
var weights = getCrossingWeights(edges, values, vertexSigns, +level)
//Build vertex cascade to speed up binary search
var vcascade = getCascade(edges, values.length|0)
//Then construct cells
var faces = contourAlgorithm(d)(cells, edges.data, vcascade, vertexSigns)
//Unpack data into pretty format
var uedges = unpackEdges(edges)
var uweights = [].slice.call(weights.data, 0, weights.shape[0])
//Release data
pool.free(vertexSigns)
pool.free(edges.data)
pool.free(weights.data)
pool.free(vcascade)
return {
cells: faces,
vertexIds: uedges,
vertexWeights: uweights
}
}
},{"./lib/codegen":241,"ndarray":208,"ndarray-sort":207,"typedarray-pool":257}],241:[function(require,module,exports){
'use strict'
module.exports = getPolygonizer
var pool = require('typedarray-pool')
var createMSTable = require('marching-simplex-table')
var CACHE = {}
function createCellPolygonizer(d) {
var maxCellSize = 0
var tables = new Array(d+1)
tables[0] = [ [] ]
for(var i=1; i<=d; ++i) {
var tab = tables[i] = createMSTable(i)
for(var j=0; j<tab.length; ++j) {
maxCellSize = Math.max(maxCellSize, tab[i].length)
}
}
var code = [
'function B(C,E,i,j){',
'var a=Math.min(i,j)|0,b=Math.max(i,j)|0,l=C[2*a],h=C[2*a+1];',
'while(l<h){',
'var m=(l+h)>>1,v=E[2*m+1];',
'if(v===b){return m}',
'if(b<v){h=m}else{l=m+1}',
'}',
'return l;',
'};',
'function getContour', d, 'd(F,E,C,S){',
'var n=F.length,R=[];',
'for(var i=0;i<n;++i){var c=F[i],l=c.length;'
]
function generateCase(facets) {
if(facets.length <= 0) {
return
}
code.push('R.push(')
for(var i=0; i<facets.length; ++i) {
var facet = facets[i]
if(i > 0) {
code.push(',')
}
code.push('[')
for(var j=0; j<facet.length; ++j) {
var f = facet[j]
if(j > 0) {
code.push(',')
}
code.push('B(C,E,c[', f[0], '],c[', f[1], '])')
}
code.push(']')
}
code.push(');')
}
for(var i=d+1; i>1; --i) {
if(i < d+1) {
code.push('else ')
}
code.push('if(l===', i, '){')
//Generate mask
var maskStr = []
for(var j=0; j<i; ++j) {
maskStr.push('(S[c['+j+']]<<'+j+')')
}
//Perform table look up
code.push('var M=', maskStr.join('+'),
';if(M===0||M===', (1<<i)-1,
'){continue}switch(M){')
var tab = tables[i-1]
for(var j=0; j<tab.length; ++j) {
code.push('case ', j, ':')
generateCase(tab[j])
code.push('break;')
}
code.push('}}')
}
code.push('}return R;};return getContour', d, 'd')
var proc = new Function('pool', code.join(''))
return proc(pool)
}
function getPolygonizer(d) {
var alg = CACHE[d]
if(!alg) {
alg = CACHE[d] = createCellPolygonizer(d)
}
return alg
}
},{"marching-simplex-table":193,"typedarray-pool":257}],242:[function(require,module,exports){
"use strict"; "use restrict";
var bits = require("bit-twiddle")
, UnionFind = require("union-find")
//Returns the dimension of a cell complex
function dimension(cells) {
var d = 0
, max = Math.max
for(var i=0, il=cells.length; i<il; ++i) {
d = max(d, cells[i].length)
}
return d-1
}
exports.dimension = dimension
//Counts the number of vertices in faces
function countVertices(cells) {
var vc = -1
, max = Math.max
for(var i=0, il=cells.length; i<il; ++i) {
var c = cells[i]
for(var j=0, jl=c.length; j<jl; ++j) {
vc = max(vc, c[j])
}
}
return vc+1
}
exports.countVertices = countVertices
//Returns a deep copy of cells
function cloneCells(cells) {
var ncells = new Array(cells.length)
for(var i=0, il=cells.length; i<il; ++i) {
ncells[i] = cells[i].slice(0)
}
return ncells
}
exports.cloneCells = cloneCells
//Ranks a pair of cells up to permutation
function compareCells(a, b) {
var n = a.length
, t = a.length - b.length
, min = Math.min
if(t) {
return t
}
switch(n) {
case 0:
return 0;
case 1:
return a[0] - b[0];
case 2:
var d = a[0]+a[1]-b[0]-b[1]
if(d) {
return d
}
return min(a[0],a[1]) - min(b[0],b[1])
case 3:
var l1 = a[0]+a[1]
, m1 = b[0]+b[1]
d = l1+a[2] - (m1+b[2])
if(d) {
return d
}
var l0 = min(a[0], a[1])
, m0 = min(b[0], b[1])
, d = min(l0, a[2]) - min(m0, b[2])
if(d) {
return d
}
return min(l0+a[2], l1) - min(m0+b[2], m1)
//TODO: Maybe optimize n=4 as well?
default:
var as = a.slice(0)
as.sort()
var bs = b.slice(0)
bs.sort()
for(var i=0; i<n; ++i) {
t = as[i] - bs[i]
if(t) {
return t
}
}
return 0
}
}
exports.compareCells = compareCells
function compareZipped(a, b) {
return compareCells(a[0], b[0])
}
//Puts a cell complex into normal order for the purposes of findCell queries
function normalize(cells, attr) {
if(attr) {
var len = cells.length
var zipped = new Array(len)
for(var i=0; i<len; ++i) {
zipped[i] = [cells[i], attr[i]]
}
zipped.sort(compareZipped)
for(var i=0; i<len; ++i) {
cells[i] = zipped[i][0]
attr[i] = zipped[i][1]
}
return cells
} else {
cells.sort(compareCells)
return cells
}
}
exports.normalize = normalize
//Removes all duplicate cells in the complex
function unique(cells) {
if(cells.length === 0) {
return []
}
var ptr = 1
, len = cells.length
for(var i=1; i<len; ++i) {
var a = cells[i]
if(compareCells(a, cells[i-1])) {
if(i === ptr) {
ptr++
continue
}
cells[ptr++] = a
}
}
cells.length = ptr
return cells
}
exports.unique = unique;
//Finds a cell in a normalized cell complex
function findCell(cells, c) {
var lo = 0
, hi = cells.length-1
, r = -1
while (lo <= hi) {
var mid = (lo + hi) >> 1
, s = compareCells(cells[mid], c)
if(s <= 0) {
if(s === 0) {
r = mid
}
lo = mid + 1
} else if(s > 0) {
hi = mid - 1
}
}
return r
}
exports.findCell = findCell;
//Builds an index for an n-cell. This is more general than dual, but less efficient
function incidence(from_cells, to_cells) {
var index = new Array(from_cells.length)
for(var i=0, il=index.length; i<il; ++i) {
index[i] = []
}
var b = []
for(var i=0, n=to_cells.length; i<n; ++i) {
var c = to_cells[i]
var cl = c.length
for(var k=1, kn=(1<<cl); k<kn; ++k) {
b.length = bits.popCount(k)
var l = 0
for(var j=0; j<cl; ++j) {
if(k & (1<<j)) {
b[l++] = c[j]
}
}
var idx=findCell(from_cells, b)
if(idx < 0) {
continue
}
while(true) {
index[idx++].push(i)
if(idx >= from_cells.length || compareCells(from_cells[idx], b) !== 0) {
break
}
}
}
}
return index
}
exports.incidence = incidence
//Computes the dual of the mesh. This is basically an optimized version of buildIndex for the situation where from_cells is just the list of vertices
function dual(cells, vertex_count) {
if(!vertex_count) {
return incidence(unique(skeleton(cells, 0)), cells, 0)
}
var res = new Array(vertex_count)
for(var i=0; i<vertex_count; ++i) {
res[i] = []
}
for(var i=0, len=cells.length; i<len; ++i) {
var c = cells[i]
for(var j=0, cl=c.length; j<cl; ++j) {
res[c[j]].push(i)
}
}
return res
}
exports.dual = dual
//Enumerates all cells in the complex
function explode(cells) {
var result = []
for(var i=0, il=cells.length; i<il; ++i) {
var c = cells[i]
, cl = c.length|0
for(var j=1, jl=(1<<cl); j<jl; ++j) {
var b = []
for(var k=0; k<cl; ++k) {
if((j >>> k) & 1) {
b.push(c[k])
}
}
result.push(b)
}
}
return normalize(result)
}
exports.explode = explode
//Enumerates all of the n-cells of a cell complex
function skeleton(cells, n) {
if(n < 0) {
return []
}
var result = []
, k0 = (1<<(n+1))-1
for(var i=0; i<cells.length; ++i) {
var c = cells[i]
for(var k=k0; k<(1<<c.length); k=bits.nextCombination(k)) {
var b = new Array(n+1)
, l = 0
for(var j=0; j<c.length; ++j) {
if(k & (1<<j)) {
b[l++] = c[j]
}
}
result.push(b)
}
}
return normalize(result)
}
exports.skeleton = skeleton;
//Computes the boundary of all cells, does not remove duplicates
function boundary(cells) {
var res = []
for(var i=0,il=cells.length; i<il; ++i) {
var c = cells[i]
for(var j=0,cl=c.length; j<cl; ++j) {
var b = new Array(c.length-1)
for(var k=0, l=0; k<cl; ++k) {
if(k !== j) {
b[l++] = c[k]
}
}
res.push(b)
}
}
return normalize(res)
}
exports.boundary = boundary;
//Computes connected components for a dense cell complex
function connectedComponents_dense(cells, vertex_count) {
var labels = new UnionFind(vertex_count)
for(var i=0; i<cells.length; ++i) {
var c = cells[i]
for(var j=0; j<c.length; ++j) {
for(var k=j+1; k<c.length; ++k) {
labels.link(c[j], c[k])
}
}
}
var components = []
, component_labels = labels.ranks
for(var i=0; i<component_labels.length; ++i) {
component_labels[i] = -1
}
for(var i=0; i<cells.length; ++i) {
var l = labels.find(cells[i][0])
if(component_labels[l] < 0) {
component_labels[l] = components.length
components.push([cells[i].slice(0)])
} else {
components[component_labels[l]].push(cells[i].slice(0))
}
}
return components
}
//Computes connected components for a sparse graph
function connectedComponents_sparse(cells) {
var vertices = unique(normalize(skeleton(cells, 0)))
, labels = new UnionFind(vertices.length)
for(var i=0; i<cells.length; ++i) {
var c = cells[i]
for(var j=0; j<c.length; ++j) {
var vj = findCell(vertices, [c[j]])
for(var k=j+1; k<c.length; ++k) {
labels.link(vj, findCell(vertices, [c[k]]))
}
}
}
var components = []
, component_labels = labels.ranks
for(var i=0; i<component_labels.length; ++i) {
component_labels[i] = -1
}
for(var i=0; i<cells.length; ++i) {
var l = labels.find(findCell(vertices, [cells[i][0]]));
if(component_labels[l] < 0) {
component_labels[l] = components.length
components.push([cells[i].slice(0)])
} else {
components[component_labels[l]].push(cells[i].slice(0))
}
}
return components
}
//Computes connected components for a cell complex
function connectedComponents(cells, vertex_count) {
if(vertex_count) {
return connectedComponents_dense(cells, vertex_count)
}
return connectedComponents_sparse(cells)
}
exports.connectedComponents = connectedComponents
},{"bit-twiddle":36,"union-find":258}],243:[function(require,module,exports){
arguments[4][36][0].apply(exports,arguments)
},{"dup":36}],244:[function(require,module,exports){
arguments[4][242][0].apply(exports,arguments)
},{"bit-twiddle":243,"dup":242,"union-find":245}],245:[function(require,module,exports){
"use strict"; "use restrict";
module.exports = UnionFind;
function UnionFind(count) {
this.roots = new Array(count);
this.ranks = new Array(count);
for(var i=0; i<count; ++i) {
this.roots[i] = i;
this.ranks[i] = 0;
}
}
UnionFind.prototype.length = function() {
return this.roots.length;
}
UnionFind.prototype.makeSet = function() {
var n = this.roots.length;
this.roots.push(n);
this.ranks.push(0);
return n;
}
UnionFind.prototype.find = function(x) {
var roots = this.roots;
while(roots[x] !== x) {
var y = roots[x];
roots[x] = roots[y];
x = y;
}
return x;
}
UnionFind.prototype.link = function(x, y) {
var xr = this.find(x)
, yr = this.find(y);
if(xr === yr) {
return;
}
var ranks = this.ranks
, roots = this.roots
, xd = ranks[xr]
, yd = ranks[yr];
if(xd < yd) {
roots[xr] = yr;
} else if(yd < xd) {
roots[yr] = xr;
} else {
roots[yr] = xr;
++ranks[xr];
}
}
},{}],246:[function(require,module,exports){
"use strict"
module.exports = simplifyPolygon
var orient = require("robust-orientation")
var sc = require("simplicial-complex")
function errorWeight(base, a, b) {
var area = Math.abs(orient(base, a, b))
var perim = Math.sqrt(Math.pow(a[0] - b[0], 2) + Math.pow(a[1]-b[1], 2))
return area / perim
}
function simplifyPolygon(cells, positions, minArea) {
var n = positions.length
var nc = cells.length
var inv = new Array(n)
var outv = new Array(n)
var weights = new Array(n)
var dead = new Array(n)
//Initialize tables
for(var i=0; i<n; ++i) {
inv[i] = outv[i] = -1
weights[i] = Infinity
dead[i] = false
}
//Compute neighbors
for(var i=0; i<nc; ++i) {
var c = cells[i]
if(c.length !== 2) {
throw new Error("Input must be a graph")
}
var s = c[1]
var t = c[0]
if(outv[t] !== -1) {
outv[t] = -2
} else {
outv[t] = s
}
if(inv[s] !== -1) {
inv[s] = -2
} else {
inv[s] = t
}
}
//Updates the weight for vertex i
function computeWeight(i) {
if(dead[i]) {
return Infinity
}
//TODO: Check that the line segment doesn't cross once simplified
var s = inv[i]
var t = outv[i]
if((s<0) || (t<0)) {
return Infinity
} else {
return errorWeight(positions[i], positions[s], positions[t])
}
}
//Swaps two nodes on the heap (i,j) are the index of the nodes
function heapSwap(i,j) {
var a = heap[i]
var b = heap[j]
heap[i] = b
heap[j] = a
index[a] = j
index[b] = i
}
//Returns the weight of node i on the heap
function heapWeight(i) {
return weights[heap[i]]
}
function heapParent(i) {
if(i & 1) {
return (i - 1) >> 1
}
return (i >> 1) - 1
}
//Bubble element i down the heap
function heapDown(i) {
var w = heapWeight(i)
while(true) {
var tw = w
var left = 2*i + 1
var right = 2*(i + 1)
var next = i
if(left < heapCount) {
var lw = heapWeight(left)
if(lw < tw) {
next = left
tw = lw
}
}
if(right < heapCount) {
var rw = heapWeight(right)
if(rw < tw) {
next = right
}
}
if(next === i) {
return i
}
heapSwap(i, next)
i = next
}
}
//Bubbles element i up the heap
function heapUp(i) {
var w = heapWeight(i)
while(i > 0) {
var parent = heapParent(i)
if(parent >= 0) {
var pw = heapWeight(parent)
if(w < pw) {
heapSwap(i, parent)
i = parent
continue
}
}
return i
}
}
//Pop minimum element
function heapPop() {
if(heapCount > 0) {
var head = heap[0]
heapSwap(0, heapCount-1)
heapCount -= 1
heapDown(0)
return head
}
return -1
}
//Update heap item i
function heapUpdate(i, w) {
var a = heap[i]
if(weights[a] === w) {
return i
}
weights[a] = -Infinity
heapUp(i)
heapPop()
weights[a] = w
heapCount += 1
return heapUp(heapCount-1)
}
//Kills a vertex (assume vertex already removed from heap)
function kill(i) {
if(dead[i]) {
return
}
//Kill vertex
dead[i] = true
//Fixup topology
var s = inv[i]
var t = outv[i]
if(inv[t] >= 0) {
inv[t] = s
}
if(outv[s] >= 0) {
outv[s] = t
}
//Update weights on s and t
if(index[s] >= 0) {
heapUpdate(index[s], computeWeight(s))
}
if(index[t] >= 0) {
heapUpdate(index[t], computeWeight(t))
}
}
//Initialize weights and heap
var heap = []
var index = new Array(n)
for(var i=0; i<n; ++i) {
var w = weights[i] = computeWeight(i)
if(w < Infinity) {
index[i] = heap.length
heap.push(i)
} else {
index[i] = -1
}
}
var heapCount = heap.length
for(var i=heapCount>>1; i>=0; --i) {
heapDown(i)
}
//Kill vertices
while(true) {
var hmin = heapPop()
if((hmin < 0) || (weights[hmin] > minArea)) {
break
}
kill(hmin)
}
//Build collapsed vertex table
var npositions = []
for(var i=0; i<n; ++i) {
if(!dead[i]) {
index[i] = npositions.length
npositions.push(positions[i].slice())
}
}
var nv = npositions.length
function tortoiseHare(seq, start) {
if(seq[start] < 0) {
return start
}
var t = start
var h = start
do {
//Walk two steps with h
var nh = seq[h]
if(!dead[h] || nh < 0 || nh === h) {
break
}
h = nh
nh = seq[h]
if(!dead[h] || nh < 0 || nh === h) {
break
}
h = nh
//Walk one step with t
t = seq[t]
} while(t !== h)
//Compress cycles
for(var v=start; v!==h; v = seq[v]) {
seq[v] = h
}
return h
}
var ncells = []
cells.forEach(function(c) {
var tin = tortoiseHare(inv, c[0])
var tout = tortoiseHare(outv, c[1])
if(tin >= 0 && tout >= 0 && tin !== tout) {
var cin = index[tin]
var cout = index[tout]
if(cin !== cout) {
ncells.push([ cin, cout ])
}
}
})
//Normalize result
sc.unique(sc.normalize(ncells))
//Return final list of cells
return {
positions: npositions,
edges: ncells
}
}
},{"robust-orientation":234,"simplicial-complex":244}],247:[function(require,module,exports){
"use strict"
module.exports = orderSegments
var orient = require("robust-orientation")
function horizontalOrder(a, b) {
var bl, br
if(b[0][0] < b[1][0]) {
bl = b[0]
br = b[1]
} else if(b[0][0] > b[1][0]) {
bl = b[1]
br = b[0]
} else {
var alo = Math.min(a[0][1], a[1][1])
var ahi = Math.max(a[0][1], a[1][1])
var blo = Math.min(b[0][1], b[1][1])
var bhi = Math.max(b[0][1], b[1][1])
if(ahi < blo) {
return ahi - blo
}
if(alo > bhi) {
return alo - bhi
}
return ahi - bhi
}
var al, ar
if(a[0][1] < a[1][1]) {
al = a[0]
ar = a[1]
} else {
al = a[1]
ar = a[0]
}
var d = orient(br, bl, al)
if(d) {
return d
}
d = orient(br, bl, ar)
if(d) {
return d
}
return ar - br
}
function orderSegments(b, a) {
var al, ar
if(a[0][0] < a[1][0]) {
al = a[0]
ar = a[1]
} else if(a[0][0] > a[1][0]) {
al = a[1]
ar = a[0]
} else {
return horizontalOrder(a, b)
}
var bl, br
if(b[0][0] < b[1][0]) {
bl = b[0]
br = b[1]
} else if(b[0][0] > b[1][0]) {
bl = b[1]
br = b[0]
} else {
return -horizontalOrder(b, a)
}
var d1 = orient(al, ar, br)
var d2 = orient(al, ar, bl)
if(d1 < 0) {
if(d2 <= 0) {
return d1
}
} else if(d1 > 0) {
if(d2 >= 0) {
return d1
}
} else if(d2) {
return d2
}
d1 = orient(br, bl, ar)
d2 = orient(br, bl, al)
if(d1 < 0) {
if(d2 <= 0) {
return d1
}
} else if(d1 > 0) {
if(d2 >= 0) {
return d1
}
} else if(d2) {
return d2
}
return ar[0] - br[0]
}
},{"robust-orientation":234}],248:[function(require,module,exports){
"use strict"
module.exports = createSlabDecomposition
var bounds = require("binary-search-bounds")
var createRBTree = require("functional-red-black-tree")
var orient = require("robust-orientation")
var orderSegments = require("./lib/order-segments")
function SlabDecomposition(slabs, coordinates, horizontal) {
this.slabs = slabs
this.coordinates = coordinates
this.horizontal = horizontal
}
var proto = SlabDecomposition.prototype
function compareHorizontal(e, y) {
return e.y - y
}
function searchBucket(root, p) {
var lastNode = null
while(root) {
var seg = root.key
var l, r
if(seg[0][0] < seg[1][0]) {
l = seg[0]
r = seg[1]
} else {
l = seg[1]
r = seg[0]
}
var o = orient(l, r, p)
if(o < 0) {
root = root.left
} else if(o > 0) {
if(p[0] !== seg[1][0]) {
lastNode = root
root = root.right
} else {
var val = searchBucket(root.right, p)
if(val) {
return val
}
root = root.left
}
} else {
if(p[0] !== seg[1][0]) {
return root
} else {
var val = searchBucket(root.right, p)
if(val) {
return val
}
root = root.left
}
}
}
return lastNode
}
proto.castUp = function(p) {
var bucket = bounds.le(this.coordinates, p[0])
if(bucket < 0) {
return -1
}
var root = this.slabs[bucket]
var hitNode = searchBucket(this.slabs[bucket], p)
var lastHit = -1
if(hitNode) {
lastHit = hitNode.value
}
//Edge case: need to handle horizontal segments (sucks)
if(this.coordinates[bucket] === p[0]) {
var lastSegment = null
if(hitNode) {
lastSegment = hitNode.key
}
if(bucket > 0) {
var otherHitNode = searchBucket(this.slabs[bucket-1], p)
if(otherHitNode) {
if(lastSegment) {
if(orderSegments(otherHitNode.key, lastSegment) > 0) {
lastSegment = otherHitNode.key
lastHit = otherHitNode.value
}
} else {
lastHit = otherHitNode.value
lastSegment = otherHitNode.key
}
}
}
var horiz = this.horizontal[bucket]
if(horiz.length > 0) {
var hbucket = bounds.ge(horiz, p[1], compareHorizontal)
if(hbucket < horiz.length) {
var e = horiz[hbucket]
if(p[1] === e.y) {
if(e.closed) {
return e.index
} else {
while(hbucket < horiz.length-1 && horiz[hbucket+1].y === p[1]) {
hbucket = hbucket+1
e = horiz[hbucket]
if(e.closed) {
return e.index
}
}
if(e.y === p[1] && !e.start) {
hbucket = hbucket+1
if(hbucket >= horiz.length) {
return lastHit
}
e = horiz[hbucket]
}
}
}
//Check if e is above/below last segment
if(e.start) {
if(lastSegment) {
var o = orient(lastSegment[0], lastSegment[1], [p[0], e.y])
if(lastSegment[0][0] > lastSegment[1][0]) {
o = -o
}
if(o > 0) {
lastHit = e.index
}
} else {
lastHit = e.index
}
} else if(e.y !== p[1]) {
lastHit = e.index
}
}
}
}
return lastHit
}
function IntervalSegment(y, index, start, closed) {
this.y = y
this.index = index
this.start = start
this.closed = closed
}
function Event(x, segment, create, index) {
this.x = x
this.segment = segment
this.create = create
this.index = index
}
function createSlabDecomposition(segments) {
var numSegments = segments.length
var numEvents = 2 * numSegments
var events = new Array(numEvents)
for(var i=0; i<numSegments; ++i) {
var s = segments[i]
var f = s[0][0] < s[1][0]
events[2*i] = new Event(s[0][0], s, f, i)
events[2*i+1] = new Event(s[1][0], s, !f, i)
}
events.sort(function(a,b) {
var d = a.x - b.x
if(d) {
return d
}
d = a.create - b.create
if(d) {
return d
}
return Math.min(a.segment[0][1], a.segment[1][1]) - Math.min(b.segment[0][1], b.segment[1][1])
})
var tree = createRBTree(orderSegments)
var slabs = []
var lines = []
var horizontal = []
var lastX = -Infinity
for(var i=0; i<numEvents; ) {
var x = events[i].x
var horiz = []
while(i < numEvents) {
var e = events[i]
if(e.x !== x) {
break
}
i += 1
if(e.segment[0][0] === e.x && e.segment[1][0] === e.x) {
if(e.create) {
if(e.segment[0][1] < e.segment[1][1]) {
horiz.push(new IntervalSegment(
e.segment[0][1],
e.index,
true,
true))
horiz.push(new IntervalSegment(
e.segment[1][1],
e.index,
false,
false))
} else {
horiz.push(new IntervalSegment(
e.segment[1][1],
e.index,
true,
false))
horiz.push(new IntervalSegment(
e.segment[0][1],
e.index,
false,
true))
}
}
} else {
if(e.create) {
tree = tree.insert(e.segment, e.index)
} else {
tree = tree.remove(e.segment)
}
}
}
slabs.push(tree.root)
lines.push(x)
horizontal.push(horiz)
}
return new SlabDecomposition(slabs, lines, horizontal)
}
},{"./lib/order-segments":247,"binary-search-bounds":35,"functional-red-black-tree":74,"robust-orientation":234}],249:[function(require,module,exports){
"use strict"
var robustDot = require("robust-dot-product")
var robustSum = require("robust-sum")
module.exports = splitPolygon
module.exports.positive = positive
module.exports.negative = negative
function planeT(p, plane) {
var r = robustSum(robustDot(p, plane), [plane[plane.length-1]])
return r[r.length-1]
}
//Can't do this exactly and emit a floating point result
function lerpW(a, wa, b, wb) {
var d = wb - wa
var t = -wa / d
if(t < 0.0) {
t = 0.0
} else if(t > 1.0) {
t = 1.0
}
var ti = 1.0 - t
var n = a.length
var r = new Array(n)
for(var i=0; i<n; ++i) {
r[i] = t * a[i] + ti * b[i]
}
return r
}
function splitPolygon(points, plane) {
var pos = []
var neg = []
var a = planeT(points[points.length-1], plane)
for(var s=points[points.length-1], t=points[0], i=0; i<points.length; ++i, s=t) {
t = points[i]
var b = planeT(t, plane)
if((a < 0 && b > 0) || (a > 0 && b < 0)) {
var p = lerpW(s, b, t, a)
pos.push(p)
neg.push(p.slice())
}
if(b < 0) {
neg.push(t.slice())
} else if(b > 0) {
pos.push(t.slice())
} else {
pos.push(t.slice())
neg.push(t.slice())
}
a = b
}
return { positive: pos, negative: neg }
}
function positive(points, plane) {
var pos = []
var a = planeT(points[points.length-1], plane)
for(var s=points[points.length-1], t=points[0], i=0; i<points.length; ++i, s=t) {
t = points[i]
var b = planeT(t, plane)
if((a < 0 && b > 0) || (a > 0 && b < 0)) {
pos.push(lerpW(s, b, t, a))
}
if(b >= 0) {
pos.push(t.slice())
}
a = b
}
return pos
}
function negative(points, plane) {
var neg = []
var a = planeT(points[points.length-1], plane)
for(var s=points[points.length-1], t=points[0], i=0; i<points.length; ++i, s=t) {
t = points[i]
var b = planeT(t, plane)
if((a < 0 && b > 0) || (a > 0 && b < 0)) {
neg.push(lerpW(s, b, t, a))
}
if(b <= 0) {
neg.push(t.slice())
}
a = b
}
return neg
}
},{"robust-dot-product":231,"robust-sum":239}],250:[function(require,module,exports){
/* global window, exports, define */
!function() {
'use strict'
var re = {
not_string: /[^s]/,
not_bool: /[^t]/,
not_type: /[^T]/,
not_primitive: /[^v]/,
number: /[diefg]/,
numeric_arg: /[bcdiefguxX]/,
json: /[j]/,
not_json: /[^j]/,
text: /^[^\x25]+/,
modulo: /^\x25{2}/,
placeholder: /^\x25(?:([1-9]\d*)\$|\(([^\)]+)\))?(\+)?(0|'[^$])?(-)?(\d+)?(?:\.(\d+))?([b-gijostTuvxX])/,
key: /^([a-z_][a-z_\d]*)/i,
key_access: /^\.([a-z_][a-z_\d]*)/i,
index_access: /^\[(\d+)\]/,
sign: /^[\+\-]/
}
function sprintf(key) {
// `arguments` is not an array, but should be fine for this call
return sprintf_format(sprintf_parse(key), arguments)
}
function vsprintf(fmt, argv) {
return sprintf.apply(null, [fmt].concat(argv || []))
}
function sprintf_format(parse_tree, argv) {
var cursor = 1, tree_length = parse_tree.length, arg, output = '', i, k, match, pad, pad_character, pad_length, is_positive, sign
for (i = 0; i < tree_length; i++) {
if (typeof parse_tree[i] === 'string') {
output += parse_tree[i]
}
else if (Array.isArray(parse_tree[i])) {
match = parse_tree[i] // convenience purposes only
if (match[2]) { // keyword argument
arg = argv[cursor]
for (k = 0; k < match[2].length; k++) {
if (!arg.hasOwnProperty(match[2][k])) {
throw new Error(sprintf('[sprintf] property "%s" does not exist', match[2][k]))
}
arg = arg[match[2][k]]
}
}
else if (match[1]) { // positional argument (explicit)
arg = argv[match[1]]
}
else { // positional argument (implicit)
arg = argv[cursor++]
}
if (re.not_type.test(match[8]) && re.not_primitive.test(match[8]) && arg instanceof Function) {
arg = arg()
}
if (re.numeric_arg.test(match[8]) && (typeof arg !== 'number' && isNaN(arg))) {
throw new TypeError(sprintf('[sprintf] expecting number but found %T', arg))
}
if (re.number.test(match[8])) {
is_positive = arg >= 0
}
switch (match[8]) {
case 'b':
arg = parseInt(arg, 10).toString(2)
break
case 'c':
arg = String.fromCharCode(parseInt(arg, 10))
break
case 'd':
case 'i':
arg = parseInt(arg, 10)
break
case 'j':
arg = JSON.stringify(arg, null, match[6] ? parseInt(match[6]) : 0)
break
case 'e':
arg = match[7] ? parseFloat(arg).toExponential(match[7]) : parseFloat(arg).toExponential()
break
case 'f':
arg = match[7] ? parseFloat(arg).toFixed(match[7]) : parseFloat(arg)
break
case 'g':
arg = match[7] ? String(Number(arg.toPrecision(match[7]))) : parseFloat(arg)
break
case 'o':
arg = (parseInt(arg, 10) >>> 0).toString(8)
break
case 's':
arg = String(arg)
arg = (match[7] ? arg.substring(0, match[7]) : arg)
break
case 't':
arg = String(!!arg)
arg = (match[7] ? arg.substring(0, match[7]) : arg)
break
case 'T':
arg = Object.prototype.toString.call(arg).slice(8, -1).toLowerCase()
arg = (match[7] ? arg.substring(0, match[7]) : arg)
break
case 'u':
arg = parseInt(arg, 10) >>> 0
break
case 'v':
arg = arg.valueOf()
arg = (match[7] ? arg.substring(0, match[7]) : arg)
break
case 'x':
arg = (parseInt(arg, 10) >>> 0).toString(16)
break
case 'X':
arg = (parseInt(arg, 10) >>> 0).toString(16).toUpperCase()
break
}
if (re.json.test(match[8])) {
output += arg
}
else {
if (re.number.test(match[8]) && (!is_positive || match[3])) {
sign = is_positive ? '+' : '-'
arg = arg.toString().replace(re.sign, '')
}
else {
sign = ''
}
pad_character = match[4] ? match[4] === '0' ? '0' : match[4].charAt(1) : ' '
pad_length = match[6] - (sign + arg).length
pad = match[6] ? (pad_length > 0 ? pad_character.repeat(pad_length) : '') : ''
output += match[5] ? sign + arg + pad : (pad_character === '0' ? sign + pad + arg : pad + sign + arg)
}
}
}
return output
}
var sprintf_cache = Object.create(null)
function sprintf_parse(fmt) {
if (sprintf_cache[fmt]) {
return sprintf_cache[fmt]
}
var _fmt = fmt, match, parse_tree = [], arg_names = 0
while (_fmt) {
if ((match = re.text.exec(_fmt)) !== null) {
parse_tree.push(match[0])
}
else if ((match = re.modulo.exec(_fmt)) !== null) {
parse_tree.push('%')
}
else if ((match = re.placeholder.exec(_fmt)) !== null) {
if (match[2]) {
arg_names |= 1
var field_list = [], replacement_field = match[2], field_match = []
if ((field_match = re.key.exec(replacement_field)) !== null) {
field_list.push(field_match[1])
while ((replacement_field = replacement_field.substring(field_match[0].length)) !== '') {
if ((field_match = re.key_access.exec(replacement_field)) !== null) {
field_list.push(field_match[1])
}
else if ((field_match = re.index_access.exec(replacement_field)) !== null) {
field_list.push(field_match[1])
}
else {
throw new SyntaxError('[sprintf] failed to parse named argument key')
}
}
}
else {
throw new SyntaxError('[sprintf] failed to parse named argument key')
}
match[2] = field_list
}
else {
arg_names |= 2
}
if (arg_names === 3) {
throw new Error('[sprintf] mixing positional and named placeholders is not (yet) supported')
}
parse_tree.push(match)
}
else {
throw new SyntaxError('[sprintf] unexpected placeholder')
}
_fmt = _fmt.substring(match[0].length)
}
return sprintf_cache[fmt] = parse_tree
}
/**
* export to either browser or node.js
*/
/* eslint-disable quote-props */
if (typeof exports !== 'undefined') {
exports['sprintf'] = sprintf
exports['vsprintf'] = vsprintf
}
if (typeof window !== 'undefined') {
window['sprintf'] = sprintf
window['vsprintf'] = vsprintf
if (typeof define === 'function' && define['amd']) {
define(function() {
return {
'sprintf': sprintf,
'vsprintf': vsprintf
}
})
}
}
/* eslint-enable quote-props */
}()
},{}],251:[function(require,module,exports){
"use strict"
module.exports = surfaceNets
var generateContourExtractor = require("ndarray-extract-contour")
var triangulateCube = require("triangulate-hypercube")
var zeroCrossings = require("zero-crossings")
function buildSurfaceNets(order, dtype) {
var dimension = order.length
var code = ["'use strict';"]
var funcName = "surfaceNets" + order.join("_") + "d" + dtype
//Contour extraction function
code.push(
"var contour=genContour({",
"order:[", order.join(), "],",
"scalarArguments: 3,",
"phase:function phaseFunc(p,a,b,c) { return (p > c)|0 },")
if(dtype === "generic") {
code.push("getters:[0],")
}
//Generate vertex function
var cubeArgs = []
var extraArgs = []
for(var i=0; i<dimension; ++i) {
cubeArgs.push("d" + i)
extraArgs.push("d" + i)
}
for(var i=0; i<(1<<dimension); ++i) {
cubeArgs.push("v" + i)
extraArgs.push("v" + i)
}
for(var i=0; i<(1<<dimension); ++i) {
cubeArgs.push("p" + i)
extraArgs.push("p" + i)
}
cubeArgs.push("a", "b", "c")
extraArgs.push("a", "c")
code.push("vertex:function vertexFunc(", cubeArgs.join(), "){")
//Mask args together
var maskStr = []
for(var i=0; i<(1<<dimension); ++i) {
maskStr.push("(p" + i + "<<" + i + ")")
}
//Generate variables and giganto switch statement
code.push("var m=(", maskStr.join("+"), ")|0;if(m===0||m===", (1<<(1<<dimension))-1, "){return}")
var extraFuncs = []
var currentFunc = []
if(1<<(1<<dimension) <= 128) {
code.push("switch(m){")
currentFunc = code
} else {
code.push("switch(m>>>7){")
}
for(var i=0; i<1<<(1<<dimension); ++i) {
if(1<<(1<<dimension) > 128) {
if((i%128)===0) {
if(extraFuncs.length > 0) {
currentFunc.push("}}")
}
var efName = "vExtra" + extraFuncs.length
code.push("case ", (i>>>7), ":", efName, "(m&0x7f,", extraArgs.join(), ");break;")
currentFunc = [
"function ", efName, "(m,", extraArgs.join(), "){switch(m){"
]
extraFuncs.push(currentFunc)
}
}
currentFunc.push("case ", (i&0x7f), ":")
var crossings = new Array(dimension)
var denoms = new Array(dimension)
var crossingCount = new Array(dimension)
var bias = new Array(dimension)
var totalCrossings = 0
for(var j=0; j<dimension; ++j) {
crossings[j] = []
denoms[j] = []
crossingCount[j] = 0
bias[j] = 0
}
for(var j=0; j<(1<<dimension); ++j) {
for(var k=0; k<dimension; ++k) {
var u = j ^ (1<<k)
if(u > j) {
continue
}
if(!(i&(1<<u)) !== !(i&(1<<j))) {
var sign = 1
if(i&(1<<u)) {
denoms[k].push("v" + u + "-v" + j)
} else {
denoms[k].push("v" + j + "-v" + u)
sign = -sign
}
if(sign < 0) {
crossings[k].push("-v" + j + "-v" + u)
crossingCount[k] += 2
} else {
crossings[k].push("v" + j + "+v" + u)
crossingCount[k] -= 2
}
totalCrossings += 1
for(var l=0; l<dimension; ++l) {
if(l === k) {
continue
}
if(u&(1<<l)) {
bias[l] += 1
} else {
bias[l] -= 1
}
}
}
}
}
var vertexStr = []
for(var k=0; k<dimension; ++k) {
if(crossings[k].length === 0) {
vertexStr.push("d" + k + "-0.5")
} else {
var cStr = ""
if(crossingCount[k] < 0) {
cStr = crossingCount[k] + "*c"
} else if(crossingCount[k] > 0) {
cStr = "+" + crossingCount[k] + "*c"
}
var weight = 0.5 * (crossings[k].length / totalCrossings)
var shift = 0.5 + 0.5 * (bias[k] / totalCrossings)
vertexStr.push("d" + k + "-" + shift + "-" + weight + "*(" + crossings[k].join("+") + cStr + ")/(" + denoms[k].join("+") + ")")
}
}
currentFunc.push("a.push([", vertexStr.join(), "]);",
"break;")
}
code.push("}},")
if(extraFuncs.length > 0) {
currentFunc.push("}}")
}
//Create face function
var faceArgs = []
for(var i=0; i<(1<<(dimension-1)); ++i) {
faceArgs.push("v" + i)
}
faceArgs.push("c0", "c1", "p0", "p1", "a", "b", "c")
code.push("cell:function cellFunc(", faceArgs.join(), "){")
var facets = triangulateCube(dimension-1)
code.push("if(p0){b.push(",
facets.map(function(f) {
return "[" + f.map(function(v) {
return "v" + v
}) + "]"
}).join(), ")}else{b.push(",
facets.map(function(f) {
var e = f.slice()
e.reverse()
return "[" + e.map(function(v) {
return "v" + v
}) + "]"
}).join(),
")}}});function ", funcName, "(array,level){var verts=[],cells=[];contour(array,verts,cells,level);return {positions:verts,cells:cells};} return ", funcName, ";")
for(var i=0; i<extraFuncs.length; ++i) {
code.push(extraFuncs[i].join(""))
}
//Compile and link
var proc = new Function("genContour", code.join(""))
return proc(generateContourExtractor)
}
//1D case: Need to handle specially
function mesh1D(array, level) {
var zc = zeroCrossings(array, level)
var n = zc.length
var npos = new Array(n)
var ncel = new Array(n)
for(var i=0; i<n; ++i) {
npos[i] = [ zc[i] ]
ncel[i] = [ i ]
}
return {
positions: npos,
cells: ncel
}
}
var CACHE = {}
function surfaceNets(array,level) {
if(array.dimension <= 0) {
return { positions: [], cells: [] }
} else if(array.dimension === 1) {
return mesh1D(array, level)
}
var typesig = array.order.join() + "-" + array.dtype
var proc = CACHE[typesig]
var level = (+level) || 0.0
if(!proc) {
proc = CACHE[typesig] = buildSurfaceNets(array.order, array.dtype)
}
return proc(array,level)
}
},{"ndarray-extract-contour":204,"triangulate-hypercube":253,"zero-crossings":266}],252:[function(require,module,exports){
'use strict'
var parseUnit = require('parse-unit')
module.exports = toPX
var PIXELS_PER_INCH = 96
function getPropertyInPX(element, prop) {
var parts = parseUnit(getComputedStyle(element).getPropertyValue(prop))
return parts[0] * toPX(parts[1], element)
}
//This brutal hack is needed
function getSizeBrutal(unit, element) {
var testDIV = document.createElement('div')
testDIV.style['font-size'] = '128' + unit
element.appendChild(testDIV)
var size = getPropertyInPX(testDIV, 'font-size') / 128
element.removeChild(testDIV)
return size
}
function toPX(str, element) {
element = element || document.body
str = (str || 'px').trim().toLowerCase()
if(element === window || element === document) {
element = document.body
}
switch(str) {
case '%': //Ambiguous, not sure if we should use width or height
return element.clientHeight / 100.0
case 'ch':
case 'ex':
return getSizeBrutal(str, element)
case 'em':
return getPropertyInPX(element, 'font-size')
case 'rem':
return getPropertyInPX(document.body, 'font-size')
case 'vw':
return window.innerWidth/100
case 'vh':
return window.innerHeight/100
case 'vmin':
return Math.min(window.innerWidth, window.innerHeight) / 100
case 'vmax':
return Math.max(window.innerWidth, window.innerHeight) / 100
case 'in':
return PIXELS_PER_INCH
case 'cm':
return PIXELS_PER_INCH / 2.54
case 'mm':
return PIXELS_PER_INCH / 25.4
case 'pt':
return PIXELS_PER_INCH / 72
case 'pc':
return PIXELS_PER_INCH / 6
}
return 1
}
},{"parse-unit":214}],253:[function(require,module,exports){
"use strict"
module.exports = triangulateCube
var perm = require("permutation-rank")
var sgn = require("permutation-parity")
var gamma = require("gamma")
function triangulateCube(dimension) {
if(dimension < 0) {
return [ ]
}
if(dimension === 0) {
return [ [0] ]
}
var dfactorial = Math.round(gamma(dimension+1))|0
var result = []
for(var i=0; i<dfactorial; ++i) {
var p = perm.unrank(dimension, i)
var cell = [ 0 ]
var v = 0
for(var j=0; j<p.length; ++j) {
v += (1<<p[j])
cell.push(v)
}
if(sgn(p) < 1) {
cell[0] = v
cell[dimension] = 0
}
result.push(cell)
}
return result
}
},{"gamma":75,"permutation-parity":215,"permutation-rank":216}],254:[function(require,module,exports){
'use strict'
module.exports = createTurntableController
var filterVector = require('filtered-vector')
var invert44 = require('gl-mat4/invert')
var rotateM = require('gl-mat4/rotate')
var cross = require('gl-vec3/cross')
var normalize3 = require('gl-vec3/normalize')
var dot3 = require('gl-vec3/dot')
function len3(x, y, z) {
return Math.sqrt(Math.pow(x, 2) + Math.pow(y, 2) + Math.pow(z, 2))
}
function clamp1(x) {
return Math.min(1.0, Math.max(-1.0, x))
}
function findOrthoPair(v) {
var vx = Math.abs(v[0])
var vy = Math.abs(v[1])
var vz = Math.abs(v[2])
var u = [0,0,0]
if(vx > Math.max(vy, vz)) {
u[2] = 1
} else if(vy > Math.max(vx, vz)) {
u[0] = 1
} else {
u[1] = 1
}
var vv = 0
var uv = 0
for(var i=0; i<3; ++i ) {
vv += v[i] * v[i]
uv += u[i] * v[i]
}
for(var i=0; i<3; ++i) {
u[i] -= (uv / vv) * v[i]
}
normalize3(u, u)
return u
}
function TurntableController(zoomMin, zoomMax, center, up, right, radius, theta, phi) {
this.center = filterVector(center)
this.up = filterVector(up)
this.right = filterVector(right)
this.radius = filterVector([radius])
this.angle = filterVector([theta, phi])
this.angle.bounds = [[-Infinity,-Math.PI/2], [Infinity,Math.PI/2]]
this.setDistanceLimits(zoomMin, zoomMax)
this.computedCenter = this.center.curve(0)
this.computedUp = this.up.curve(0)
this.computedRight = this.right.curve(0)
this.computedRadius = this.radius.curve(0)
this.computedAngle = this.angle.curve(0)
this.computedToward = [0,0,0]
this.computedEye = [0,0,0]
this.computedMatrix = new Array(16)
for(var i=0; i<16; ++i) {
this.computedMatrix[i] = 0.5
}
this.recalcMatrix(0)
}
var proto = TurntableController.prototype
proto.setDistanceLimits = function(minDist, maxDist) {
if(minDist > 0) {
minDist = Math.log(minDist)
} else {
minDist = -Infinity
}
if(maxDist > 0) {
maxDist = Math.log(maxDist)
} else {
maxDist = Infinity
}
maxDist = Math.max(maxDist, minDist)
this.radius.bounds[0][0] = minDist
this.radius.bounds[1][0] = maxDist
}
proto.getDistanceLimits = function(out) {
var bounds = this.radius.bounds[0]
if(out) {
out[0] = Math.exp(bounds[0][0])
out[1] = Math.exp(bounds[1][0])
return out
}
return [ Math.exp(bounds[0][0]), Math.exp(bounds[1][0]) ]
}
proto.recalcMatrix = function(t) {
//Recompute curves
this.center.curve(t)
this.up.curve(t)
this.right.curve(t)
this.radius.curve(t)
this.angle.curve(t)
//Compute frame for camera matrix
var up = this.computedUp
var right = this.computedRight
var uu = 0.0
var ur = 0.0
for(var i=0; i<3; ++i) {
ur += up[i] * right[i]
uu += up[i] * up[i]
}
var ul = Math.sqrt(uu)
var rr = 0.0
for(var i=0; i<3; ++i) {
right[i] -= up[i] * ur / uu
rr += right[i] * right[i]
up[i] /= ul
}
var rl = Math.sqrt(rr)
for(var i=0; i<3; ++i) {
right[i] /= rl
}
//Compute toward vector
var toward = this.computedToward
cross(toward, up, right)
normalize3(toward, toward)
//Compute angular parameters
var radius = Math.exp(this.computedRadius[0])
var theta = this.computedAngle[0]
var phi = this.computedAngle[1]
var ctheta = Math.cos(theta)
var stheta = Math.sin(theta)
var cphi = Math.cos(phi)
var sphi = Math.sin(phi)
var center = this.computedCenter
var wx = ctheta * cphi
var wy = stheta * cphi
var wz = sphi
var sx = -ctheta * sphi
var sy = -stheta * sphi
var sz = cphi
var eye = this.computedEye
var mat = this.computedMatrix
for(var i=0; i<3; ++i) {
var x = wx * right[i] + wy * toward[i] + wz * up[i]
mat[4*i+1] = sx * right[i] + sy * toward[i] + sz * up[i]
mat[4*i+2] = x
mat[4*i+3] = 0.0
}
var ax = mat[1]
var ay = mat[5]
var az = mat[9]
var bx = mat[2]
var by = mat[6]
var bz = mat[10]
var cx = ay * bz - az * by
var cy = az * bx - ax * bz
var cz = ax * by - ay * bx
var cl = len3(cx, cy, cz)
cx /= cl
cy /= cl
cz /= cl
mat[0] = cx
mat[4] = cy
mat[8] = cz
for(var i=0; i<3; ++i) {
eye[i] = center[i] + mat[2+4*i]*radius
}
for(var i=0; i<3; ++i) {
var rr = 0.0
for(var j=0; j<3; ++j) {
rr += mat[i+4*j] * eye[j]
}
mat[12+i] = -rr
}
mat[15] = 1.0
}
proto.getMatrix = function(t, result) {
this.recalcMatrix(t)
var mat = this.computedMatrix
if(result) {
for(var i=0; i<16; ++i) {
result[i] = mat[i]
}
return result
}
return mat
}
var zAxis = [0,0,0]
proto.rotate = function(t, dtheta, dphi, droll) {
this.angle.move(t, dtheta, dphi)
if(droll) {
this.recalcMatrix(t)
var mat = this.computedMatrix
zAxis[0] = mat[2]
zAxis[1] = mat[6]
zAxis[2] = mat[10]
var up = this.computedUp
var right = this.computedRight
var toward = this.computedToward
for(var i=0; i<3; ++i) {
mat[4*i] = up[i]
mat[4*i+1] = right[i]
mat[4*i+2] = toward[i]
}
rotateM(mat, mat, droll, zAxis)
for(var i=0; i<3; ++i) {
up[i] = mat[4*i]
right[i] = mat[4*i+1]
}
this.up.set(t, up[0], up[1], up[2])
this.right.set(t, right[0], right[1], right[2])
}
}
proto.pan = function(t, dx, dy, dz) {
dx = dx || 0.0
dy = dy || 0.0
dz = dz || 0.0
this.recalcMatrix(t)
var mat = this.computedMatrix
var dist = Math.exp(this.computedRadius[0])
var ux = mat[1]
var uy = mat[5]
var uz = mat[9]
var ul = len3(ux, uy, uz)
ux /= ul
uy /= ul
uz /= ul
var rx = mat[0]
var ry = mat[4]
var rz = mat[8]
var ru = rx * ux + ry * uy + rz * uz
rx -= ux * ru
ry -= uy * ru
rz -= uz * ru
var rl = len3(rx, ry, rz)
rx /= rl
ry /= rl
rz /= rl
var vx = rx * dx + ux * dy
var vy = ry * dx + uy * dy
var vz = rz * dx + uz * dy
this.center.move(t, vx, vy, vz)
//Update z-component of radius
var radius = Math.exp(this.computedRadius[0])
radius = Math.max(1e-4, radius + dz)
this.radius.set(t, Math.log(radius))
}
proto.translate = function(t, dx, dy, dz) {
this.center.move(t,
dx||0.0,
dy||0.0,
dz||0.0)
}
//Recenters the coordinate axes
proto.setMatrix = function(t, mat, axes, noSnap) {
//Get the axes for tare
var ushift = 1
if(typeof axes === 'number') {
ushift = (axes)|0
}
if(ushift < 0 || ushift > 3) {
ushift = 1
}
var vshift = (ushift + 2) % 3
var fshift = (ushift + 1) % 3
//Recompute state for new t value
if(!mat) {
this.recalcMatrix(t)
mat = this.computedMatrix
}
//Get right and up vectors
var ux = mat[ushift]
var uy = mat[ushift+4]
var uz = mat[ushift+8]
if(!noSnap) {
var ul = len3(ux, uy, uz)
ux /= ul
uy /= ul
uz /= ul
} else {
var ax = Math.abs(ux)
var ay = Math.abs(uy)
var az = Math.abs(uz)
var am = Math.max(ax,ay,az)
if(ax === am) {
ux = (ux < 0) ? -1 : 1
uy = uz = 0
} else if(az === am) {
uz = (uz < 0) ? -1 : 1
ux = uy = 0
} else {
uy = (uy < 0) ? -1 : 1
ux = uz = 0
}
}
var rx = mat[vshift]
var ry = mat[vshift+4]
var rz = mat[vshift+8]
var ru = rx * ux + ry * uy + rz * uz
rx -= ux * ru
ry -= uy * ru
rz -= uz * ru
var rl = len3(rx, ry, rz)
rx /= rl
ry /= rl
rz /= rl
var fx = uy * rz - uz * ry
var fy = uz * rx - ux * rz
var fz = ux * ry - uy * rx
var fl = len3(fx, fy, fz)
fx /= fl
fy /= fl
fz /= fl
this.center.jump(t, ex, ey, ez)
this.radius.idle(t)
this.up.jump(t, ux, uy, uz)
this.right.jump(t, rx, ry, rz)
var phi, theta
if(ushift === 2) {
var cx = mat[1]
var cy = mat[5]
var cz = mat[9]
var cr = cx * rx + cy * ry + cz * rz
var cf = cx * fx + cy * fy + cz * fz
if(tu < 0) {
phi = -Math.PI/2
} else {
phi = Math.PI/2
}
theta = Math.atan2(cf, cr)
} else {
var tx = mat[2]
var ty = mat[6]
var tz = mat[10]
var tu = tx * ux + ty * uy + tz * uz
var tr = tx * rx + ty * ry + tz * rz
var tf = tx * fx + ty * fy + tz * fz
phi = Math.asin(clamp1(tu))
theta = Math.atan2(tf, tr)
}
this.angle.jump(t, theta, phi)
this.recalcMatrix(t)
var dx = mat[2]
var dy = mat[6]
var dz = mat[10]
var imat = this.computedMatrix
invert44(imat, mat)
var w = imat[15]
var ex = imat[12] / w
var ey = imat[13] / w
var ez = imat[14] / w
var gs = Math.exp(this.computedRadius[0])
this.center.jump(t, ex-dx*gs, ey-dy*gs, ez-dz*gs)
}
proto.lastT = function() {
return Math.max(
this.center.lastT(),
this.up.lastT(),
this.right.lastT(),
this.radius.lastT(),
this.angle.lastT())
}
proto.idle = function(t) {
this.center.idle(t)
this.up.idle(t)
this.right.idle(t)
this.radius.idle(t)
this.angle.idle(t)
}
proto.flush = function(t) {
this.center.flush(t)
this.up.flush(t)
this.right.flush(t)
this.radius.flush(t)
this.angle.flush(t)
}
proto.setDistance = function(t, d) {
if(d > 0) {
this.radius.set(t, Math.log(d))
}
}
proto.lookAt = function(t, eye, center, up) {
this.recalcMatrix(t)
eye = eye || this.computedEye
center = center || this.computedCenter
up = up || this.computedUp
var ux = up[0]
var uy = up[1]
var uz = up[2]
var ul = len3(ux, uy, uz)
if(ul < 1e-6) {
return
}
ux /= ul
uy /= ul
uz /= ul
var tx = eye[0] - center[0]
var ty = eye[1] - center[1]
var tz = eye[2] - center[2]
var tl = len3(tx, ty, tz)
if(tl < 1e-6) {
return
}
tx /= tl
ty /= tl
tz /= tl
var right = this.computedRight
var rx = right[0]
var ry = right[1]
var rz = right[2]
var ru = ux*rx + uy*ry + uz*rz
rx -= ru * ux
ry -= ru * uy
rz -= ru * uz
var rl = len3(rx, ry, rz)
if(rl < 0.01) {
rx = uy * tz - uz * ty
ry = uz * tx - ux * tz
rz = ux * ty - uy * tx
rl = len3(rx, ry, rz)
if(rl < 1e-6) {
return
}
}
rx /= rl
ry /= rl
rz /= rl
this.up.set(t, ux, uy, uz)
this.right.set(t, rx, ry, rz)
this.center.set(t, center[0], center[1], center[2])
this.radius.set(t, Math.log(tl))
var fx = uy * rz - uz * ry
var fy = uz * rx - ux * rz
var fz = ux * ry - uy * rx
var fl = len3(fx, fy, fz)
fx /= fl
fy /= fl
fz /= fl
var tu = ux*tx + uy*ty + uz*tz
var tr = rx*tx + ry*ty + rz*tz
var tf = fx*tx + fy*ty + fz*tz
var phi = Math.asin(clamp1(tu))
var theta = Math.atan2(tf, tr)
var angleState = this.angle._state
var lastTheta = angleState[angleState.length-1]
var lastPhi = angleState[angleState.length-2]
lastTheta = lastTheta % (2.0 * Math.PI)
var dp = Math.abs(lastTheta + 2.0 * Math.PI - theta)
var d0 = Math.abs(lastTheta - theta)
var dn = Math.abs(lastTheta - 2.0 * Math.PI - theta)
if(dp < d0) {
lastTheta += 2.0 * Math.PI
}
if(dn < d0) {
lastTheta -= 2.0 * Math.PI
}
this.angle.jump(this.angle.lastT(), lastTheta, lastPhi)
this.angle.set(t, theta, phi)
}
function createTurntableController(options) {
options = options || {}
var center = options.center || [0,0,0]
var up = options.up || [0,1,0]
var right = options.right || findOrthoPair(up)
var radius = options.radius || 1.0
var theta = options.theta || 0.0
var phi = options.phi || 0.0
center = [].slice.call(center, 0, 3)
up = [].slice.call(up, 0, 3)
normalize3(up, up)
right = [].slice.call(right, 0, 3)
normalize3(right, right)
if('eye' in options) {
var eye = options.eye
var toward = [
eye[0]-center[0],
eye[1]-center[1],
eye[2]-center[2]
]
cross(right, toward, up)
if(len3(right[0], right[1], right[2]) < 1e-6) {
right = findOrthoPair(up)
} else {
normalize3(right, right)
}
radius = len3(toward[0], toward[1], toward[2])
var ut = dot3(up, toward) / radius
var rt = dot3(right, toward) / radius
phi = Math.acos(ut)
theta = Math.acos(rt)
}
//Use logarithmic coordinates for radius
radius = Math.log(radius)
//Return the controller
return new TurntableController(
options.zoomMin,
options.zoomMax,
center,
up,
right,
radius,
theta,
phi)
}
},{"filtered-vector":73,"gl-mat4/invert":94,"gl-mat4/rotate":98,"gl-vec3/cross":126,"gl-vec3/dot":129,"gl-vec3/normalize":140}],255:[function(require,module,exports){
"use strict"
module.exports = twoProduct
var SPLITTER = +(Math.pow(2, 27) + 1.0)
function twoProduct(a, b, result) {
var x = a * b
var c = SPLITTER * a
var abig = c - a
var ahi = c - abig
var alo = a - ahi
var d = SPLITTER * b
var bbig = d - b
var bhi = d - bbig
var blo = b - bhi
var err1 = x - (ahi * bhi)
var err2 = err1 - (alo * bhi)
var err3 = err2 - (ahi * blo)
var y = alo * blo - err3
if(result) {
result[0] = y
result[1] = x
return result
}
return [ y, x ]
}
},{}],256:[function(require,module,exports){
"use strict"
module.exports = fastTwoSum
function fastTwoSum(a, b, result) {
var x = a + b
var bv = x - a
var av = x - bv
var br = b - bv
var ar = a - av
if(result) {
result[0] = ar + br
result[1] = x
return result
}
return [ar+br, x]
}
},{}],257:[function(require,module,exports){
(function (global,Buffer){
'use strict'
var bits = require('bit-twiddle')
var dup = require('dup')
//Legacy pool support
if(!global.__TYPEDARRAY_POOL) {
global.__TYPEDARRAY_POOL = {
UINT8 : dup([32, 0])
, UINT16 : dup([32, 0])
, UINT32 : dup([32, 0])
, INT8 : dup([32, 0])
, INT16 : dup([32, 0])
, INT32 : dup([32, 0])
, FLOAT : dup([32, 0])
, DOUBLE : dup([32, 0])
, DATA : dup([32, 0])
, UINT8C : dup([32, 0])
, BUFFER : dup([32, 0])
}
}
var hasUint8C = (typeof Uint8ClampedArray) !== 'undefined'
var POOL = global.__TYPEDARRAY_POOL
//Upgrade pool
if(!POOL.UINT8C) {
POOL.UINT8C = dup([32, 0])
}
if(!POOL.BUFFER) {
POOL.BUFFER = dup([32, 0])
}
//New technique: Only allocate from ArrayBufferView and Buffer
var DATA = POOL.DATA
, BUFFER = POOL.BUFFER
exports.free = function free(array) {
if(Buffer.isBuffer(array)) {
BUFFER[bits.log2(array.length)].push(array)
} else {
if(Object.prototype.toString.call(array) !== '[object ArrayBuffer]') {
array = array.buffer
}
if(!array) {
return
}
var n = array.length || array.byteLength
var log_n = bits.log2(n)|0
DATA[log_n].push(array)
}
}
function freeArrayBuffer(buffer) {
if(!buffer) {
return
}
var n = buffer.length || buffer.byteLength
var log_n = bits.log2(n)
DATA[log_n].push(buffer)
}
function freeTypedArray(array) {
freeArrayBuffer(array.buffer)
}
exports.freeUint8 =
exports.freeUint16 =
exports.freeUint32 =
exports.freeInt8 =
exports.freeInt16 =
exports.freeInt32 =
exports.freeFloat32 =
exports.freeFloat =
exports.freeFloat64 =
exports.freeDouble =
exports.freeUint8Clamped =
exports.freeDataView = freeTypedArray
exports.freeArrayBuffer = freeArrayBuffer
exports.freeBuffer = function freeBuffer(array) {
BUFFER[bits.log2(array.length)].push(array)
}
exports.malloc = function malloc(n, dtype) {
if(dtype === undefined || dtype === 'arraybuffer') {
return mallocArrayBuffer(n)
} else {
switch(dtype) {
case 'uint8':
return mallocUint8(n)
case 'uint16':
return mallocUint16(n)
case 'uint32':
return mallocUint32(n)
case 'int8':
return mallocInt8(n)
case 'int16':
return mallocInt16(n)
case 'int32':
return mallocInt32(n)
case 'float':
case 'float32':
return mallocFloat(n)
case 'double':
case 'float64':
return mallocDouble(n)
case 'uint8_clamped':
return mallocUint8Clamped(n)
case 'buffer':
return mallocBuffer(n)
case 'data':
case 'dataview':
return mallocDataView(n)
default:
return null
}
}
return null
}
function mallocArrayBuffer(n) {
var n = bits.nextPow2(n)
var log_n = bits.log2(n)
var d = DATA[log_n]
if(d.length > 0) {
return d.pop()
}
return new ArrayBuffer(n)
}
exports.mallocArrayBuffer = mallocArrayBuffer
function mallocUint8(n) {
return new Uint8Array(mallocArrayBuffer(n), 0, n)
}
exports.mallocUint8 = mallocUint8
function mallocUint16(n) {
return new Uint16Array(mallocArrayBuffer(2*n), 0, n)
}
exports.mallocUint16 = mallocUint16
function mallocUint32(n) {
return new Uint32Array(mallocArrayBuffer(4*n), 0, n)
}
exports.mallocUint32 = mallocUint32
function mallocInt8(n) {
return new Int8Array(mallocArrayBuffer(n), 0, n)
}
exports.mallocInt8 = mallocInt8
function mallocInt16(n) {
return new Int16Array(mallocArrayBuffer(2*n), 0, n)
}
exports.mallocInt16 = mallocInt16
function mallocInt32(n) {
return new Int32Array(mallocArrayBuffer(4*n), 0, n)
}
exports.mallocInt32 = mallocInt32
function mallocFloat(n) {
return new Float32Array(mallocArrayBuffer(4*n), 0, n)
}
exports.mallocFloat32 = exports.mallocFloat = mallocFloat
function mallocDouble(n) {
return new Float64Array(mallocArrayBuffer(8*n), 0, n)
}
exports.mallocFloat64 = exports.mallocDouble = mallocDouble
function mallocUint8Clamped(n) {
if(hasUint8C) {
return new Uint8ClampedArray(mallocArrayBuffer(n), 0, n)
} else {
return mallocUint8(n)
}
}
exports.mallocUint8Clamped = mallocUint8Clamped
function mallocDataView(n) {
return new DataView(mallocArrayBuffer(n), 0, n)
}
exports.mallocDataView = mallocDataView
function mallocBuffer(n) {
n = bits.nextPow2(n)
var log_n = bits.log2(n)
var cache = BUFFER[log_n]
if(cache.length > 0) {
return cache.pop()
}
return new Buffer(n)
}
exports.mallocBuffer = mallocBuffer
exports.clearCache = function clearCache() {
for(var i=0; i<32; ++i) {
POOL.UINT8[i].length = 0
POOL.UINT16[i].length = 0
POOL.UINT32[i].length = 0
POOL.INT8[i].length = 0
POOL.INT16[i].length = 0
POOL.INT32[i].length = 0
POOL.FLOAT[i].length = 0
POOL.DOUBLE[i].length = 0
POOL.UINT8C[i].length = 0
DATA[i].length = 0
BUFFER[i].length = 0
}
}
}).call(this,typeof global !== "undefined" ? global : typeof self !== "undefined" ? self : typeof window !== "undefined" ? window : {},require("buffer").Buffer)
},{"bit-twiddle":36,"buffer":3,"dup":70}],258:[function(require,module,exports){
"use strict"; "use restrict";
module.exports = UnionFind;
function UnionFind(count) {
this.roots = new Array(count);
this.ranks = new Array(count);
for(var i=0; i<count; ++i) {
this.roots[i] = i;
this.ranks[i] = 0;
}
}
var proto = UnionFind.prototype
Object.defineProperty(proto, "length", {
"get": function() {
return this.roots.length
}
})
proto.makeSet = function() {
var n = this.roots.length;
this.roots.push(n);
this.ranks.push(0);
return n;
}
proto.find = function(x) {
var x0 = x
var roots = this.roots;
while(roots[x] !== x) {
x = roots[x]
}
while(roots[x0] !== x) {
var y = roots[x0]
roots[x0] = x
x0 = y
}
return x;
}
proto.link = function(x, y) {
var xr = this.find(x)
, yr = this.find(y);
if(xr === yr) {
return;
}
var ranks = this.ranks
, roots = this.roots
, xd = ranks[xr]
, yd = ranks[yr];
if(xd < yd) {
roots[xr] = yr;
} else if(yd < xd) {
roots[yr] = xr;
} else {
roots[yr] = xr;
++ranks[xr];
}
}
},{}],259:[function(require,module,exports){
"use strict"
function unique_pred(list, compare) {
var ptr = 1
, len = list.length
, a=list[0], b=list[0]
for(var i=1; i<len; ++i) {
b = a
a = list[i]
if(compare(a, b)) {
if(i === ptr) {
ptr++
continue
}
list[ptr++] = a
}
}
list.length = ptr
return list
}
function unique_eq(list) {
var ptr = 1
, len = list.length
, a=list[0], b = list[0]
for(var i=1; i<len; ++i, b=a) {
b = a
a = list[i]
if(a !== b) {
if(i === ptr) {
ptr++
continue
}
list[ptr++] = a
}
}
list.length = ptr
return list
}
function unique(list, compare, sorted) {
if(list.length === 0) {
return list
}
if(compare) {
if(!sorted) {
list.sort(compare)
}
return unique_pred(list, compare)
}
if(!sorted) {
list.sort()
}
return unique_eq(list)
}
module.exports = unique
},{}],260:[function(require,module,exports){
"use strict"
module.exports = createText
var vectorizeText = require("./lib/vtext")
var defaultCanvas = null
var defaultContext = null
if(typeof document !== 'undefined') {
defaultCanvas = document.createElement('canvas')
defaultCanvas.width = 8192
defaultCanvas.height = 1024
defaultContext = defaultCanvas.getContext("2d")
}
function createText(str, options) {
if((typeof options !== "object") || (options === null)) {
options = {}
}
return vectorizeText(
str,
options.canvas || defaultCanvas,
options.context || defaultContext,
options)
}
},{"./lib/vtext":261}],261:[function(require,module,exports){
"use strict"
module.exports = vectorizeText
module.exports.processPixels = processPixels
var surfaceNets = require('surface-nets')
var ndarray = require('ndarray')
var simplify = require('simplify-planar-graph')
var cleanPSLG = require('clean-pslg')
var cdt2d = require('cdt2d')
var toPolygonCrappy = require('planar-graph-to-polyline')
function transformPositions(positions, options, size) {
var align = options.textAlign || "start"
var baseline = options.textBaseline || "alphabetic"
var lo = [1<<30, 1<<30]
var hi = [0,0]
var n = positions.length
for(var i=0; i<n; ++i) {
var p = positions[i]
for(var j=0; j<2; ++j) {
lo[j] = Math.min(lo[j], p[j])|0
hi[j] = Math.max(hi[j], p[j])|0
}
}
var xShift = 0
switch(align) {
case "center":
xShift = -0.5 * (lo[0] + hi[0])
break
case "right":
case "end":
xShift = -hi[0]
break
case "left":
case "start":
xShift = -lo[0]
break
default:
throw new Error("vectorize-text: Unrecognized textAlign: '" + align + "'")
}
var yShift = 0
switch(baseline) {
case "hanging":
case "top":
yShift = -lo[1]
break
case "middle":
yShift = -0.5 * (lo[1] + hi[1])
break
case "alphabetic":
case "ideographic":
yShift = -3 * size
break
case "bottom":
yShift = -hi[1]
break
default:
throw new Error("vectorize-text: Unrecoginized textBaseline: '" + baseline + "'")
}
var scale = 1.0 / size
if("lineHeight" in options) {
scale *= +options.lineHeight
} else if("width" in options) {
scale = options.width / (hi[0] - lo[0])
} else if("height" in options) {
scale = options.height / (hi[1] - lo[1])
}
return positions.map(function(p) {
return [ scale * (p[0] + xShift), scale * (p[1] + yShift) ]
})
}
function getPixels(canvas, context, str, size) {
var width = Math.ceil(context.measureText(str).width + 2*size)|0
if(width > 8192) {
throw new Error("vectorize-text: String too long (sorry, this will get fixed later)")
}
var height = 3 * size
if(canvas.height < height) {
canvas.height = height
}
context.fillStyle = "#000"
context.fillRect(0, 0, canvas.width, canvas.height)
context.fillStyle = "#fff"
context.fillText(str, size, 2*size)
//Cut pixels from image
var pixelData = context.getImageData(0, 0, width, height)
var pixels = ndarray(pixelData.data, [height, width, 4])
return pixels.pick(-1,-1,0).transpose(1,0)
}
function getContour(pixels, doSimplify) {
var contour = surfaceNets(pixels, 128)
if(doSimplify) {
return simplify(contour.cells, contour.positions, 0.25)
}
return {
edges: contour.cells,
positions: contour.positions
}
}
function processPixelsImpl(pixels, options, size, simplify) {
//Extract contour
var contour = getContour(pixels, simplify)
//Apply warp to positions
var positions = transformPositions(contour.positions, options, size)
var edges = contour.edges
var flip = "ccw" === options.orientation
//Clean up the PSLG, resolve self intersections, etc.
cleanPSLG(positions, edges)
//If triangulate flag passed, triangulate the result
if(options.polygons || options.polygon || options.polyline) {
var result = toPolygonCrappy(edges, positions)
var nresult = new Array(result.length)
for(var i=0; i<result.length; ++i) {
var loops = result[i]
var nloops = new Array(loops.length)
for(var j=0; j<loops.length; ++j) {
var loop = loops[j]
var nloop = new Array(loop.length)
for(var k=0; k<loop.length; ++k) {
nloop[k] = positions[loop[k]].slice()
}
if(flip) {
nloop.reverse()
}
nloops[j] = nloop
}
nresult[i] = nloops
}
return nresult
} else if(options.triangles || options.triangulate || options.triangle) {
return {
cells: cdt2d(positions, edges, {
delaunay: false,
exterior: false,
interior: true
}),
positions: positions
}
} else {
return {
edges: edges,
positions: positions
}
}
}
function processPixels(pixels, options, size) {
try {
return processPixelsImpl(pixels, options, size, true)
} catch(e) {}
try {
return processPixelsImpl(pixels, options, size, false)
} catch(e) {}
if(options.polygons || options.polyline || options.polygon) {
return []
}
if(options.triangles || options.triangulate || options.triangle) {
return {
cells: [],
positions: []
}
}
return {
edges: [],
positions: []
}
}
function vectorizeText(str, canvas, context, options) {
var size = options.size || 64
var family = options.font || "normal"
context.font = size + "px " + family
context.textAlign = "start"
context.textBaseline = "alphabetic"
context.direction = "ltr"
var pixels = getPixels(canvas, context, str, size)
return processPixels(pixels, options, size)
}
},{"cdt2d":47,"clean-pslg":53,"ndarray":208,"planar-graph-to-polyline":219,"simplify-planar-graph":246,"surface-nets":251}],262:[function(require,module,exports){
var hiddenStore = require('./hidden-store.js');
module.exports = createStore;
function createStore() {
var key = {};
return function (obj) {
if ((typeof obj !== 'object' || obj === null) &&
typeof obj !== 'function'
) {
throw new Error('Weakmap-shim: Key must be object')
}
var store = obj.valueOf(key);
return store && store.identity === key ?
store : hiddenStore(obj, key);
};
}
},{"./hidden-store.js":263}],263:[function(require,module,exports){
module.exports = hiddenStore;
function hiddenStore(obj, key) {
var store = { identity: key };
var valueOf = obj.valueOf;
Object.defineProperty(obj, "valueOf", {
value: function (value) {
return value !== key ?
valueOf.apply(this, arguments) : store;
},
writable: true
});
return store;
}
},{}],264:[function(require,module,exports){
// Original - @Gozola.
// https://gist.github.com/Gozala/1269991
// This is a reimplemented version (with a few bug fixes).
var createStore = require('./create-store.js');
module.exports = weakMap;
function weakMap() {
var privates = createStore();
return {
'get': function (key, fallback) {
var store = privates(key)
return store.hasOwnProperty('value') ?
store.value : fallback
},
'set': function (key, value) {
privates(key).value = value;
return this;
},
'has': function(key) {
return 'value' in privates(key);
},
'delete': function (key) {
return delete privates(key).value;
}
}
}
},{"./create-store.js":262}],265:[function(require,module,exports){
module.exports = require('cwise-compiler')({
args: ['array', {
offset: [1],
array: 0
}, 'scalar', 'scalar', 'index'],
pre: {
"body": "{}",
"args": [],
"thisVars": [],
"localVars": []
},
post: {
"body": "{}",
"args": [],
"thisVars": [],
"localVars": []
},
body: {
"body": "{\n var _inline_1_da = _inline_1_arg0_ - _inline_1_arg3_\n var _inline_1_db = _inline_1_arg1_ - _inline_1_arg3_\n if((_inline_1_da >= 0) !== (_inline_1_db >= 0)) {\n _inline_1_arg2_.push(_inline_1_arg4_[0] + 0.5 + 0.5 * (_inline_1_da + _inline_1_db) / (_inline_1_da - _inline_1_db))\n }\n }",
"args": [{
"name": "_inline_1_arg0_",
"lvalue": false,
"rvalue": true,
"count": 1
}, {
"name": "_inline_1_arg1_",
"lvalue": false,
"rvalue": true,
"count": 1
}, {
"name": "_inline_1_arg2_",
"lvalue": false,
"rvalue": true,
"count": 1
}, {
"name": "_inline_1_arg3_",
"lvalue": false,
"rvalue": true,
"count": 2
}, {
"name": "_inline_1_arg4_",
"lvalue": false,
"rvalue": true,
"count": 1
}],
"thisVars": [],
"localVars": ["_inline_1_da", "_inline_1_db"]
},
funcName: 'zeroCrossings'
})
},{"cwise-compiler":65}],266:[function(require,module,exports){
"use strict"
module.exports = findZeroCrossings
var core = require("./lib/zc-core")
function findZeroCrossings(array, level) {
var cross = []
level = +level || 0.0
core(array.hi(array.shape[0]-1), cross, level)
return cross
}
},{"./lib/zc-core":265}],267:[function(require,module,exports){
"use strict";
var vec3 = require('gl-vec3');
var vec4 = require('gl-vec4');
var streamToTube = function(stream) {
var points = stream.points;
var velocities = stream.velocities;
var divergences = stream.divergences;
var p, fwd, r, u, v, up;
up = vec3.set(vec3.create(), 0, 1, 0);
u = vec3.create();
v = vec3.create();
var p2 = vec3.create();
var verts = [];
var faces = [];
var vectors = [];
var previousVerts = [];
var currentVerts = [];
var intensities = [];
var previousIntensity = 0;
var currentIntensity = 0;
var currentVector = vec3.create();
var previousVector = vec3.create();
var facets = 8;
for (var i = 0; i < points.length; i++) {
p = points[i];
fwd = velocities[i];
r = divergences[i];
currentIntensity = vec3.length(fwd);
currentVector = vec3.create();
vec3.normalize(currentVector, fwd);
vec3.scale(currentVector, currentVector, r);
for (var a = 0; a < facets; a++) {
currentVerts[a] = [p[0], p[1], p[2], a];
}
if (previousVerts.length > 0) {
for (var a = 0; a < facets; a++) {
var a1 = (a+1) % facets;
verts.push(
previousVerts[a],
currentVerts[a],
currentVerts[a1],
currentVerts[a1],
previousVerts[a1],
previousVerts[a]
);
vectors.push(
previousVector,
currentVector,
currentVector,
currentVector,
previousVector,
previousVector
);
intensities.push(
previousIntensity,
currentIntensity,
currentIntensity,
currentIntensity,
previousIntensity,
previousIntensity
);
faces.push(
[verts.length-6, verts.length-5, verts.length-4],
[verts.length-3, verts.length-2, verts.length-1]
);
}
}
var tmp = previousVerts;
previousVerts = currentVerts;
currentVerts = tmp;
tmp = previousVector;
previousVector = currentVector;
currentVector = tmp;
tmp = previousIntensity;
previousIntensity = currentIntensity;
currentIntensity = tmp;
}
return {
positions: verts,
cells: faces,
vectors: vectors,
vertexIntensity: intensities
};
};
var createTubes = function(streams, colormap) {
var tubes = streams.map(streamToTube);
var positions = [];
var cells = [];
var vectors = [];
var vertexIntensity = [];
for (var i=0; i < tubes.length; i++) {
var tube = tubes[i];
var offset = positions.length;
positions = positions.concat(tube.positions);
vectors = vectors.concat(tube.vectors);
vertexIntensity = vertexIntensity.concat(tube.vertexIntensity);
for (var j=0; j<tube.cells.length; j++) {
var cell = tube.cells[j];
var newCell = [];
cells.push(newCell);
for (var k=0; k<cell.length; k++) {
newCell.push(cell[k] + offset);
}
}
}
return {
positions: positions,
cells: cells,
vectors: vectors,
vertexIntensity: vertexIntensity,
colormap: colormap
};
};
var defaultGetDivergence = function(p, v0) {
var dp = vec3.create();
var e = 1/10000;
vec3.add(dp, p, [e, 0, 0]);
var vx = this.getVelocity(dp);
vec3.subtract(vx, vx, v0);
vec3.scale(vx, vx, 1/e);
vec3.add(dp, p, [0, e, 0]);
var vy = this.getVelocity(dp);
vec3.subtract(vy, vy, v0);
vec3.scale(vy, vy, 1/e);
vec3.add(dp, p, [0, 0, e]);
var vz = this.getVelocity(dp);
vec3.subtract(vz, vz, v0);
vec3.scale(vz, vz, 1/e);
vec3.add(dp, vx, vy);
vec3.add(dp, dp, vz);
return dp;
};
var defaultGetVelocity = function(p) {
var u = sampleMeshgrid(p, this.vectors, this.meshgrid, this.clampBorders);
return u;
};
var findLastSmallerIndex = function(points, v) {
for (var i=0; i<points.length; i++) {
var p = points[i];
if (p === v) return i;
if (p > v) return i-1;
}
return i;
};
var tmp = vec3.create();
var tmp2 = vec3.create();
var clamp = function(v, min, max) {
return v < min ? min : (v > max ? max : v);
};
var sampleMeshgrid = function(point, array, meshgrid, clampOverflow) {
var x = point[0];
var y = point[1];
var z = point[2];
var w = meshgrid[0].length;
var h = meshgrid[1].length;
var d = meshgrid[2].length;
// Find the index of the nearest smaller value in the meshgrid for each coordinate of (x,y,z).
// The nearest smaller value index for x is the index x0 such that
// meshgrid[0][x0] < x and for all x1 > x0, meshgrid[0][x1] >= x.
var x0 = findLastSmallerIndex(meshgrid[0], x);
var y0 = findLastSmallerIndex(meshgrid[1], y);
var z0 = findLastSmallerIndex(meshgrid[2], z);
// Get the nearest larger meshgrid value indices.
// From the above "nearest smaller value", we know that
// meshgrid[0][x0] < x
// meshgrid[0][x0+1] >= x
var x1 = x0 + 1;
var y1 = y0 + 1;
var z1 = z0 + 1;
if (meshgrid[0][x0] === x) x1 = x0;
if (meshgrid[1][y0] === y) y1 = y0;
if (meshgrid[2][z0] === z) z1 = z0;
if (clampOverflow) {
x0 = clamp(x0, 0, w-1);
x1 = clamp(x1, 0, w-1);
y0 = clamp(y0, 0, h-1);
y1 = clamp(y1, 0, h-1);
z0 = clamp(z0, 0, d-1);
z1 = clamp(z1, 0, d-1);
}
// Reject points outside the meshgrid, return a zero vector.
if (x0 < 0 || y0 < 0 || z0 < 0 || x1 >= w || y1 >= h || z1 >= d) {
return vec3.create();
}
// Normalize point coordinates to 0..1 scaling factor between x0 and x1.
var xf = (x - meshgrid[0][x0]) / (meshgrid[0][x1] - meshgrid[0][x0]);
var yf = (y - meshgrid[1][y0]) / (meshgrid[1][y1] - meshgrid[1][y0]);
var zf = (z - meshgrid[2][z0]) / (meshgrid[2][z1] - meshgrid[2][z0]);
if (xf < 0 || xf > 1 || isNaN(xf)) xf = 0;
if (yf < 0 || yf > 1 || isNaN(yf)) yf = 0;
if (zf < 0 || zf > 1 || isNaN(zf)) zf = 0;
var z0off = z0*w*h;
var z1off = z1*w*h;
var y0off = y0*w;
var y1off = y1*w;
var x0off = x0;
var x1off = x1;
// Sample data array around the (x,y,z) point.
// vZYX = array[zZoff + yYoff + xXoff]
var v000 = array[y0off + z0off + x0off];
var v001 = array[y0off + z0off + x1off];
var v010 = array[y1off + z0off + x0off];
var v011 = array[y1off + z0off + x1off];
var v100 = array[y0off + z1off + x0off];
var v101 = array[y0off + z1off + x1off];
var v110 = array[y1off + z1off + x0off];
var v111 = array[y1off + z1off + x1off];
var result = vec3.create();
// Average samples according to distance to point.
vec3.lerp(result, v000, v001, xf);
vec3.lerp(tmp, v010, v011, xf);
vec3.lerp(result, result, tmp, yf);
vec3.lerp(tmp, v100, v101, xf);
vec3.lerp(tmp2, v110, v111, xf);
vec3.lerp(tmp, tmp, tmp2, yf);
vec3.lerp(result, result, tmp, zf);
return result;
};
var vabs = function(dst, v) {
var x = v[0];
var y = v[1];
var z = v[2];
dst[0] = x >= 0 ? x : -x;
dst[1] = y >= 0 ? y : -y;
dst[2] = z >= 0 ? z : -z;
return dst;
};
var findMinSeparation = function(xs) {
var minSeparation = 1/0;
xs.sort(function(a, b) { return a - b; });
for (var i=1; i<xs.length; i++) {
var d = Math.abs(xs[i] - xs[i-1]);
if (d < minSeparation) {
minSeparation = d;
}
}
return minSeparation;
};
// Finds the minimum per-component distance in positions.
//
var calculateMinPositionDistance = function(positions) {
var xs = [], ys = [], zs = [];
var xi = {}, yi = {}, zi = {};
for (var i=0; i<positions.length; i++) {
var p = positions[i];
var x = p[0], y = p[1], z = p[2];
// Split the positions array into arrays of unique component values.
//
// Why go through the trouble of using a uniqueness hash table vs
// sort and uniq:
//
// Suppose you've got a million positions in a 100x100x100 grid.
//
// Using a uniqueness hash table, you're doing 1M array reads,
// 3M hash table lookups from 100-element hashes, 300 hash table inserts, then
// sorting three 100-element arrays and iterating over them.
//
// Sort and uniq solution would do 1M array reads, 3M array inserts,
// sort three 1M-element arrays and iterate over them.
if (!xi[x]) {
xs.push(x);
xi[x] = true;
}
if (!yi[y]) {
ys.push(y);
yi[y] = true;
}
if (!zi[z]) {
zs.push(z);
zi[z] = true;
}
}
var xSep = findMinSeparation(xs);
var ySep = findMinSeparation(ys);
var zSep = findMinSeparation(zs);
var minSeparation = Math.min(xSep, ySep, zSep);
if (!isFinite(minSeparation)) {
return 1;
}
return minSeparation;
};
module.exports = function(vectorField, bounds) {
var positions = vectorField.startingPositions;
var maxLength = vectorField.maxLength || 1000;
var tubeSize = vectorField.tubeSize || 1;
var absoluteTubeSize = vectorField.absoluteTubeSize;
if (!vectorField.getDivergence) {
vectorField.getDivergence = defaultGetDivergence;
}
if (!vectorField.getVelocity) {
vectorField.getVelocity = defaultGetVelocity;
}
if (vectorField.clampBorders === undefined) {
vectorField.clampBorders = true;
}
var streams = [];
var minX = bounds[0][0], minY = bounds[0][1], minZ = bounds[0][2];
var maxX = bounds[1][0], maxY = bounds[1][1], maxZ = bounds[1][2];
var inBounds = function(bounds, p) {
var x = p[0];
var y = p[1];
var z = p[2];
return (
x >= minX && x <= maxX &&
y >= minY && y <= maxY &&
z >= minZ && z <= maxZ
);
};
var boundsSize = vec3.distance(bounds[0], bounds[1]);
var maxStepSize = 10 * boundsSize / maxLength;
var maxStepSizeSq = maxStepSize * maxStepSize;
var minDistance = 1;
var maxDivergence = 0; // For component-wise divergence vec3.create();
var tmp = vec3.create();
if (positions.length >= 2) {
minDistance = calculateMinPositionDistance(positions);
}
for (var i = 0; i < positions.length; i++) {
var p = vec3.create();
vec3.copy(p, positions[i]);
var stream = [p];
var velocities = [];
var v = vectorField.getVelocity(p);
var op = p;
velocities.push(v);
var divergences = [];
var dv = vectorField.getDivergence(p, v);
var dvLength = vec3.length(dv);
if (dvLength > maxDivergence) {
maxDivergence = dvLength;
}
// In case we need to do component-wise divergence visualization
// vec3.max(maxDivergence, maxDivergence, vabs(tmp, dv));
divergences.push(dvLength);
streams.push({points: stream, velocities: velocities, divergences: divergences});
var j = 0;
while (j < maxLength * 100 && stream.length < maxLength && inBounds(bounds, p)) {
j++;
var np = vec3.clone(v);
var sqLen = vec3.squaredLength(np);
if (sqLen === 0) {
break;
} else if (sqLen > maxStepSizeSq) {
vec3.scale(np, np, maxStepSize / Math.sqrt(sqLen));
}
vec3.add(np, np, p);
v = vectorField.getVelocity(np);
if (vec3.squaredDistance(op, np) - maxStepSizeSq > -0.0001 * maxStepSizeSq) {
stream.push(np);
op = np;
velocities.push(v);
var dv = vectorField.getDivergence(np, v);
var dvLength = vec3.length(dv);
if (dvLength > maxDivergence) {
maxDivergence = dvLength;
}
// In case we need to do component-wise divergence visualization
//vec3.max(maxDivergence, maxDivergence, vabs(tmp, dv));
divergences.push(dvLength);
}
p = np;
}
}
var tubes = createTubes(streams, vectorField.colormap);
if (absoluteTubeSize) {
tubes.tubeScale = absoluteTubeSize;
} else {
tubes.tubeScale = tubeSize * 0.5 * minDistance / maxDivergence;
}
return tubes;
};
module.exports.createTubeMesh = require('./lib/tubemesh');
},{"./lib/tubemesh":11,"gl-vec3":132,"gl-vec4":162}]},{},[8]);