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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55 lines
1.6 KiB
55 lines
1.6 KiB
module.exports = normalFromMat4
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/**
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* Calculates a 3x3 normal matrix (transpose inverse) from the 4x4 matrix
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*
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* @alias mat3.normalFromMat4
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* @param {mat3} out mat3 receiving operation result
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* @param {mat4} a Mat4 to derive the normal matrix from
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*
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* @returns {mat3} out
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*/
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function normalFromMat4(out, a) {
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var a00 = a[0], a01 = a[1], a02 = a[2], a03 = a[3]
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var a10 = a[4], a11 = a[5], a12 = a[6], a13 = a[7]
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var a20 = a[8], a21 = a[9], a22 = a[10], a23 = a[11]
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var a30 = a[12], a31 = a[13], a32 = a[14], a33 = a[15]
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var b00 = a00 * a11 - a01 * a10
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var b01 = a00 * a12 - a02 * a10
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var b02 = a00 * a13 - a03 * a10
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var b03 = a01 * a12 - a02 * a11
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var b04 = a01 * a13 - a03 * a11
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var b05 = a02 * a13 - a03 * a12
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var b06 = a20 * a31 - a21 * a30
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var b07 = a20 * a32 - a22 * a30
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var b08 = a20 * a33 - a23 * a30
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var b09 = a21 * a32 - a22 * a31
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var b10 = a21 * a33 - a23 * a31
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var b11 = a22 * a33 - a23 * a32
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// Calculate the determinant
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var det = b00 * b11
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- b01 * b10
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+ b02 * b09
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+ b03 * b08
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- b04 * b07
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+ b05 * b06
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if (!det) return null
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det = 1.0 / det
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out[0] = (a11 * b11 - a12 * b10 + a13 * b09) * det
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out[1] = (a12 * b08 - a10 * b11 - a13 * b07) * det
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out[2] = (a10 * b10 - a11 * b08 + a13 * b06) * det
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out[3] = (a02 * b10 - a01 * b11 - a03 * b09) * det
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out[4] = (a00 * b11 - a02 * b08 + a03 * b07) * det
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out[5] = (a01 * b08 - a00 * b10 - a03 * b06) * det
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out[6] = (a31 * b05 - a32 * b04 + a33 * b03) * det
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out[7] = (a32 * b02 - a30 * b05 - a33 * b01) * det
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out[8] = (a30 * b04 - a31 * b02 + a33 * b00) * det
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return out
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}
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