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cornerstone-math

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Math and computation geometry functionality for cornerstone

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<!doctype html> <html lang="en"> <head> <title>Code coverage report for src\matrix4.js</title> <meta charset="utf-8" /> <link rel="stylesheet" href="../prettify.css" /> <link rel="stylesheet" href="../base.css" /> <meta name="viewport" content="width=device-width, initial-scale=1"> <style type='text/css'> .coverage-summary .sorter { background-image: url(../sort-arrow-sprite.png); } </style> </head> <body> <div class='wrapper'> <div class='pad1'> <h1> <a href="../index.html">all files</a> / <a href="index.html">src/</a> matrix4.js </h1> <div class='clearfix'> <div class='fl pad1y space-right2'> <span class="strong">8.7% </span> <span class="quiet">Statements</span> <span class='fraction'>18/207</span> </div> <div class='fl pad1y space-right2'> <span class="strong">72.73% </span> <span class="quiet">Branches</span> <span class='fraction'>32/44</span> </div> <div class='fl pad1y space-right2'> <span class="strong">9.09% </span> <span class="quiet">Functions</span> <span class='fraction'>1/11</span> </div> <div class='fl pad1y space-right2'> <span class="strong">3.51% </span> <span class="quiet">Lines</span> <span class='fraction'>6/171</span> </div> </div> </div> <div class='status-line low'></div> <pre><table class="coverage"> <tr><td class="line-count quiet">1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 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cline-neutral">&nbsp;</span></td><td class="text"><pre class="prettyprint lang-js">import Vector3 from './vector3.js'; &nbsp; // Based on THREE.JS class Matrix4 { &nbsp; constructor (n11, n12, n13, n14, n21, n22, n23, n24, n31, n32, n33, n34, n41, n42, n43, n44) { this.elements = new Float32Array(16); &nbsp; // TODO: if n11 is undefined, then just set to identity, otherwise copy all other values into matrix // We should not support semi specification of Matrix4, it is just weird. &nbsp; const te = this.elements; &nbsp; te[0] = (n11 !== undefined) ? n11 : 1; te[4] = n12 || 0; te[8] = n13 || 0; te[12] = n14 || 0; te[1] = n21 || 0; te[5] = (n22 !== undefined) ? n22 : 1; te[9] = n23 || 0; te[13] = n24 || 0; te[2] = n31 || 0; te[6] = n32 || 0; te[10] = (n33 !== undefined) ? n33 : 1; te[14] = n34 || 0; te[3] = n41 || 0; te[7] = n42 || 0; te[11] = n43 || 0; te[15] = (n44 !== undefined) ? n44 : 1; &nbsp; } &nbsp; makeRotationFromQuaternion (q) <span class="fstat-no" title="function not covered" >{</span> const te = <span class="cstat-no" title="statement not covered" >this.elements;</span> &nbsp; let x = <span class="cstat-no" title="statement not covered" >q.x,</span> y = <span class="cstat-no" title="statement not covered" >q.y,</span> z = <span class="cstat-no" title="statement not covered" >q.z,</span> w = <span class="cstat-no" title="statement not covered" >q.w;</span> let x2 = <span class="cstat-no" title="statement not covered" >x + x,</span> y2 = <span class="cstat-no" title="statement not covered" >y + y,</span> z2 = <span class="cstat-no" title="statement not covered" >z + z;</span> let xx = <span class="cstat-no" title="statement not covered" >x * x2,</span> xy = <span class="cstat-no" title="statement not covered" >x * y2,</span> xz = <span class="cstat-no" title="statement not covered" >x * z2;</span> let yy = <span class="cstat-no" title="statement not covered" >y * y2,</span> yz = <span class="cstat-no" title="statement not covered" >y * z2,</span> zz = <span class="cstat-no" title="statement not covered" >z * z2;</span> let wx = <span class="cstat-no" title="statement not covered" >w * x2,</span> wy = <span class="cstat-no" title="statement not covered" >w * y2,</span> wz = <span class="cstat-no" title="statement not covered" >w * z2;</span> &nbsp; <span class="cstat-no" title="statement not covered" > te[0] = 1 - (yy + zz);</span> <span class="cstat-no" title="statement not covered" > te[4] = xy - wz;</span> <span class="cstat-no" title="statement not covered" > te[8] = xz + wy;</span> &nbsp; <span class="cstat-no" title="statement not covered" > te[1] = xy + wz;</span> <span class="cstat-no" title="statement not covered" > te[5] = 1 - (xx + zz);</span> <span class="cstat-no" title="statement not covered" > te[9] = yz - wx;</span> &nbsp; <span class="cstat-no" title="statement not covered" > te[2] = xz - wy;</span> <span class="cstat-no" title="statement not covered" > te[6] = yz + wx;</span> <span class="cstat-no" title="statement not covered" > te[10] = 1 - (xx + yy);</span> &nbsp; // Last column <span class="cstat-no" title="statement not covered" > te[3] = 0;</span> <span class="cstat-no" title="statement not covered" > te[7] = 0;</span> <span class="cstat-no" title="statement not covered" > te[11] = 0;</span> &nbsp; // Bottom row <span class="cstat-no" title="statement not covered" > te[12] = 0;</span> <span class="cstat-no" title="statement not covered" > te[13] = 0;</span> <span class="cstat-no" title="statement not covered" > te[14] = 0;</span> <span class="cstat-no" title="statement not covered" > te[15] = 1;</span> &nbsp; <span class="cstat-no" title="statement not covered" > return this;</span> } &nbsp; multiplyMatrices (a, b) <span class="fstat-no" title="function not covered" >{</span> const ae = <span class="cstat-no" title="statement not covered" >a.elements;</span> const be = <span class="cstat-no" title="statement not covered" >b.elements;</span> const te = <span class="cstat-no" title="statement not covered" >this.elements;</span> &nbsp; let a11 = <span class="cstat-no" title="statement not covered" >ae[0],</span> a12 = <span class="cstat-no" title="statement not covered" >ae[4],</span> a13 = <span class="cstat-no" title="statement not covered" >ae[8],</span> a14 = <span class="cstat-no" title="statement not covered" >ae[12];</span> let a21 = <span class="cstat-no" title="statement not covered" >ae[1],</span> a22 = <span class="cstat-no" title="statement not covered" >ae[5],</span> a23 = <span class="cstat-no" title="statement not covered" >ae[9],</span> a24 = <span class="cstat-no" title="statement not covered" >ae[13];</span> let a31 = <span class="cstat-no" title="statement not covered" >ae[2],</span> a32 = <span class="cstat-no" title="statement not covered" >ae[6],</span> a33 = <span class="cstat-no" title="statement not covered" >ae[10],</span> a34 = <span class="cstat-no" title="statement not covered" >ae[14];</span> let a41 = <span class="cstat-no" title="statement not covered" >ae[3],</span> a42 = <span class="cstat-no" title="statement not covered" >ae[7],</span> a43 = <span class="cstat-no" title="statement not covered" >ae[11],</span> a44 = <span class="cstat-no" title="statement not covered" >ae[15];</span> &nbsp; let b11 = <span class="cstat-no" title="statement not covered" >be[0],</span> b12 = <span class="cstat-no" title="statement not covered" >be[4],</span> b13 = <span class="cstat-no" title="statement not covered" >be[8],</span> b14 = <span class="cstat-no" title="statement not covered" >be[12];</span> let b21 = <span class="cstat-no" title="statement not covered" >be[1],</span> b22 = <span class="cstat-no" title="statement not covered" >be[5],</span> b23 = <span class="cstat-no" title="statement not covered" >be[9],</span> b24 = <span class="cstat-no" title="statement not covered" >be[13];</span> let b31 = <span class="cstat-no" title="statement not covered" >be[2],</span> b32 = <span class="cstat-no" title="statement not covered" >be[6],</span> b33 = <span class="cstat-no" title="statement not covered" >be[10],</span> b34 = <span class="cstat-no" title="statement not covered" >be[14];</span> let b41 = <span class="cstat-no" title="statement not covered" >be[3],</span> b42 = <span class="cstat-no" title="statement not covered" >be[7],</span> b43 = <span class="cstat-no" title="statement not covered" >be[11],</span> b44 = <span class="cstat-no" title="statement not covered" >be[15];</span> &nbsp; <span class="cstat-no" title="statement not covered" > te[0] = a11 * b11 + a12 * b21 + a13 * b31 + a14 * b41;</span> <span class="cstat-no" title="statement not covered" > te[4] = a11 * b12 + a12 * b22 + a13 * b32 + a14 * b42;</span> <span class="cstat-no" title="statement not covered" > te[8] = a11 * b13 + a12 * b23 + a13 * b33 + a14 * b43;</span> <span class="cstat-no" title="statement not covered" > te[12] = a11 * b14 + a12 * b24 + a13 * b34 + a14 * b44;</span> &nbsp; <span class="cstat-no" title="statement not covered" > te[1] = a21 * b11 + a22 * b21 + a23 * b31 + a24 * b41;</span> <span class="cstat-no" title="statement not covered" > te[5] = a21 * b12 + a22 * b22 + a23 * b32 + a24 * b42;</span> <span class="cstat-no" title="statement not covered" > te[9] = a21 * b13 + a22 * b23 + a23 * b33 + a24 * b43;</span> <span class="cstat-no" title="statement not covered" > te[13] = a21 * b14 + a22 * b24 + a23 * b34 + a24 * b44;</span> &nbsp; <span class="cstat-no" title="statement not covered" > te[2] = a31 * b11 + a32 * b21 + a33 * b31 + a34 * b41;</span> <span class="cstat-no" title="statement not covered" > te[6] = a31 * b12 + a32 * b22 + a33 * b32 + a34 * b42;</span> <span class="cstat-no" title="statement not covered" > te[10] = a31 * b13 + a32 * b23 + a33 * b33 + a34 * b43;</span> <span class="cstat-no" title="statement not covered" > te[14] = a31 * b14 + a32 * b24 + a33 * b34 + a34 * b44;</span> &nbsp; <span class="cstat-no" title="statement not covered" > te[3] = a41 * b11 + a42 * b21 + a43 * b31 + a44 * b41;</span> <span class="cstat-no" title="statement not covered" > te[7] = a41 * b12 + a42 * b22 + a43 * b32 + a44 * b42;</span> <span class="cstat-no" title="statement not covered" > te[11] = a41 * b13 + a42 * b23 + a43 * b33 + a44 * b43;</span> <span class="cstat-no" title="statement not covered" > te[15] = a41 * b14 + a42 * b24 + a43 * b34 + a44 * b44;</span> &nbsp; <span class="cstat-no" title="statement not covered" > return this;</span> } &nbsp; multiply (m, n) <span class="fstat-no" title="function not covered" >{</span> &nbsp; <span class="cstat-no" title="statement not covered" > if (n !== undefined) {</span> &nbsp; <span class="cstat-no" title="statement not covered" > console.warn('DEPRECATED: Matrix4\'s .multiply() now only accepts one argument. Use .multiplyMatrices( a, b ) instead.');</span> &nbsp; <span class="cstat-no" title="statement not covered" > return this.multiplyMatrices(m, n);</span> } &nbsp; <span class="cstat-no" title="statement not covered" > return this.multiplyMatrices(this, m);</span> } &nbsp; getInverse (m, throwOnInvertible) <span class="fstat-no" title="function not covered" >{</span> &nbsp; // Based on http://www.euclideanspace.com/maths/algebra/matrix/functions/inverse/fourD/index.htm const te = <span class="cstat-no" title="statement not covered" >this.elements;</span> const me = <span class="cstat-no" title="statement not covered" >m.elements;</span> &nbsp; let n11 = <span class="cstat-no" title="statement not covered" >me[0],</span> n12 = <span class="cstat-no" title="statement not covered" >me[4],</span> n13 = <span class="cstat-no" title="statement not covered" >me[8],</span> n14 = <span class="cstat-no" title="statement not covered" >me[12];</span> let n21 = <span class="cstat-no" title="statement not covered" >me[1],</span> n22 = <span class="cstat-no" title="statement not covered" >me[5],</span> n23 = <span class="cstat-no" title="statement not covered" >me[9],</span> n24 = <span class="cstat-no" title="statement not covered" >me[13];</span> let n31 = <span class="cstat-no" title="statement not covered" >me[2],</span> n32 = <span class="cstat-no" title="statement not covered" >me[6],</span> n33 = <span class="cstat-no" title="statement not covered" >me[10],</span> n34 = <span class="cstat-no" title="statement not covered" >me[14];</span> let n41 = <span class="cstat-no" title="statement not covered" >me[3],</span> n42 = <span class="cstat-no" title="statement not covered" >me[7],</span> n43 = <span class="cstat-no" title="statement not covered" >me[11],</span> n44 = <span class="cstat-no" title="statement not covered" >me[15];</span> &nbsp; <span class="cstat-no" title="statement not covered" > te[0] = n23 * n34 * n42 - n24 * n33 * n42 + n24 * n32 * n43 - n22 * n34 * n43 - n23 * n32 * n44 + n22 * n33 * n44;</span> <span class="cstat-no" title="statement not covered" > te[4] = n14 * n33 * n42 - n13 * n34 * n42 - n14 * n32 * n43 + n12 * n34 * n43 + n13 * n32 * n44 - n12 * n33 * n44;</span> <span class="cstat-no" title="statement not covered" > te[8] = n13 * n24 * n42 - n14 * n23 * n42 + n14 * n22 * n43 - n12 * n24 * n43 - n13 * n22 * n44 + n12 * n23 * n44;</span> <span class="cstat-no" title="statement not covered" > te[12] = n14 * n23 * n32 - n13 * n24 * n32 - n14 * n22 * n33 + n12 * n24 * n33 + n13 * n22 * n34 - n12 * n23 * n34;</span> <span class="cstat-no" title="statement not covered" > te[1] = n24 * n33 * n41 - n23 * n34 * n41 - n24 * n31 * n43 + n21 * n34 * n43 + n23 * n31 * n44 - n21 * n33 * n44;</span> <span class="cstat-no" title="statement not covered" > te[5] = n13 * n34 * n41 - n14 * n33 * n41 + n14 * n31 * n43 - n11 * n34 * n43 - n13 * n31 * n44 + n11 * n33 * n44;</span> <span class="cstat-no" title="statement not covered" > te[9] = n14 * n23 * n41 - n13 * n24 * n41 - n14 * n21 * n43 + n11 * n24 * n43 + n13 * n21 * n44 - n11 * n23 * n44;</span> <span class="cstat-no" title="statement not covered" > te[13] = n13 * n24 * n31 - n14 * n23 * n31 + n14 * n21 * n33 - n11 * n24 * n33 - n13 * n21 * n34 + n11 * n23 * n34;</span> <span class="cstat-no" title="statement not covered" > te[2] = n22 * n34 * n41 - n24 * n32 * n41 + n24 * n31 * n42 - n21 * n34 * n42 - n22 * n31 * n44 + n21 * n32 * n44;</span> <span class="cstat-no" title="statement not covered" > te[6] = n14 * n32 * n41 - n12 * n34 * n41 - n14 * n31 * n42 + n11 * n34 * n42 + n12 * n31 * n44 - n11 * n32 * n44;</span> <span class="cstat-no" title="statement not covered" > te[10] = n12 * n24 * n41 - n14 * n22 * n41 + n14 * n21 * n42 - n11 * n24 * n42 - n12 * n21 * n44 + n11 * n22 * n44;</span> <span class="cstat-no" title="statement not covered" > te[14] = n14 * n22 * n31 - n12 * n24 * n31 - n14 * n21 * n32 + n11 * n24 * n32 + n12 * n21 * n34 - n11 * n22 * n34;</span> <span class="cstat-no" title="statement not covered" > te[3] = n23 * n32 * n41 - n22 * n33 * n41 - n23 * n31 * n42 + n21 * n33 * n42 + n22 * n31 * n43 - n21 * n32 * n43;</span> <span class="cstat-no" title="statement not covered" > te[7] = n12 * n33 * n41 - n13 * n32 * n41 + n13 * n31 * n42 - n11 * n33 * n42 - n12 * n31 * n43 + n11 * n32 * n43;</span> <span class="cstat-no" title="statement not covered" > te[11] = n13 * n22 * n41 - n12 * n23 * n41 - n13 * n21 * n42 + n11 * n23 * n42 + n12 * n21 * n43 - n11 * n22 * n43;</span> <span class="cstat-no" title="statement not covered" > te[15] = n12 * n23 * n31 - n13 * n22 * n31 + n13 * n21 * n32 - n11 * n23 * n32 - n12 * n21 * n33 + n11 * n22 * n33;</span> &nbsp; const det = <span class="cstat-no" title="statement not covered" >n11 * te[0] + n21 * te[4] + n31 * te[8] + n41 * te[12];</span> &nbsp; <span class="cstat-no" title="statement not covered" > if (det === 0) {</span> &nbsp; const msg = <span class="cstat-no" title="statement not covered" >'Matrix4.getInverse(): can\'t invert matrix, determinant is 0';</span> &nbsp; <span class="cstat-no" title="statement not covered" > if (throwOnInvertible || false) {</span> &nbsp; <span class="cstat-no" title="statement not covered" > throw new Error(msg);</span> &nbsp; } else { &nbsp; <span class="cstat-no" title="statement not covered" > console.warn(msg);</span> &nbsp; } &nbsp; <span class="cstat-no" title="statement not covered" > this.identity();</span> &nbsp; <span class="cstat-no" title="statement not covered" > return this;</span> } &nbsp; <span class="cstat-no" title="statement not covered" > this.multiplyScalar(1 / det);</span> &nbsp; <span class="cstat-no" title="statement not covered" > return this;</span> &nbsp; } &nbsp; applyToVector3Array () <span class="fstat-no" title="function not covered" >{</span> &nbsp; const v1 = <span class="cstat-no" title="statement not covered" >new Vector3();</span> &nbsp; <span class="cstat-no" title="statement not covered" > return function (array, offset, length) <span class="fstat-no" title="function not covered" >{</span></span> &nbsp; <span class="cstat-no" title="statement not covered" > if (offset === undefined) {</span> <span class="cstat-no" title="statement not covered" > offset = 0;</span> } <span class="cstat-no" title="statement not covered" > if (length === undefined) {</span> <span class="cstat-no" title="statement not covered" > length = array.length;</span> } &nbsp; <span class="cstat-no" title="statement not covered" > for (var i = 0, j = offset; i &lt; length; i += 3, j += 3) {</span> &nbsp; <span class="cstat-no" title="statement not covered" > v1.x = array[j];</span> <span class="cstat-no" title="statement not covered" > v1.y = array[j + 1];</span> <span class="cstat-no" title="statement not covered" > v1.z = array[j + 2];</span> &nbsp; <span class="cstat-no" title="statement not covered" > v1.applyMatrix4(this);</span> &nbsp; <span class="cstat-no" title="statement not covered" > array[j] = v1.x;</span> <span class="cstat-no" title="statement not covered" > array[j + 1] = v1.y;</span> <span class="cstat-no" title="statement not covered" > array[j + 2] = v1.z;</span> &nbsp; } &nbsp; <span class="cstat-no" title="statement not covered" > return array;</span> &nbsp; }; &nbsp; } &nbsp; makeTranslation (x, y, z) <span class="fstat-no" title="function not covered" >{</span> &nbsp; <span class="cstat-no" title="statement not covered" > this.set(</span> 1, 0, 0, x, 0, 1, 0, y, 0, 0, 1, z, 0, 0, 0, 1 ); &nbsp; <span class="cstat-no" title="statement not covered" > return this;</span> &nbsp; } &nbsp; multiplyScalar (s) <span class="fstat-no" title="function not covered" >{</span> &nbsp; const te = <span class="cstat-no" title="statement not covered" >this.elements;</span> &nbsp; <span class="cstat-no" title="statement not covered" > te[0] *= s; <span class="cstat-no" title="statement not covered" ></span>te[4] *= s; <span class="cstat-no" title="statement not covered" ></span>te[8] *= s; <span class="cstat-no" title="statement not covered" ></span>te[12] *= s;</span> <span class="cstat-no" title="statement not covered" > te[1] *= s; <span class="cstat-no" title="statement not covered" ></span>te[5] *= s; <span class="cstat-no" title="statement not covered" ></span>te[9] *= s; <span class="cstat-no" title="statement not covered" ></span>te[13] *= s;</span> <span class="cstat-no" title="statement not covered" > te[2] *= s; <span class="cstat-no" title="statement not covered" ></span>te[6] *= s; <span class="cstat-no" title="statement not covered" ></span>te[10] *= s; <span class="cstat-no" title="statement not covered" ></span>te[14] *= s;</span> <span class="cstat-no" title="statement not covered" > te[3] *= s; <span class="cstat-no" title="statement not covered" ></span>te[7] *= s; <span class="cstat-no" title="statement not covered" ></span>te[11] *= s; <span class="cstat-no" title="statement not covered" ></span>te[15] *= s;</span> &nbsp; <span class="cstat-no" title="statement not covered" > return this;</span> &nbsp; } &nbsp; set (n11, n12, n13, n14, n21, n22, n23, n24, n31, n32, n33, n34, n41, n42, n43, n44) <span class="fstat-no" title="function not covered" >{</span> &nbsp; const te = <span class="cstat-no" title="statement not covered" >this.elements;</span> &nbsp; <span class="cstat-no" title="statement not covered" > te[0] = n11; <span class="cstat-no" title="statement not covered" ></span>te[4] = n12; <span class="cstat-no" title="statement not covered" ></span>te[8] = n13; <span class="cstat-no" title="statement not covered" ></span>te[12] = n14;</span> <span class="cstat-no" title="statement not covered" > te[1] = n21; <span class="cstat-no" title="statement not covered" ></span>te[5] = n22; <span class="cstat-no" title="statement not covered" ></span>te[9] = n23; <span class="cstat-no" title="statement not covered" ></span>te[13] = n24;</span> <span class="cstat-no" title="statement not covered" > te[2] = n31; <span class="cstat-no" title="statement not covered" ></span>te[6] = n32; <span class="cstat-no" title="statement not covered" ></span>te[10] = n33; <span class="cstat-no" title="statement not covered" ></span>te[14] = n34;</span> <span class="cstat-no" title="statement not covered" > te[3] = n41; <span class="cstat-no" title="statement not covered" ></span>te[7] = n42; <span class="cstat-no" title="statement not covered" ></span>te[11] = n43; <span class="cstat-no" title="statement not covered" ></span>te[15] = n44;</span> &nbsp; <span class="cstat-no" title="statement not covered" > return this;</span> &nbsp; } &nbsp; makeScale (x, y, z) <span class="fstat-no" title="function not covered" >{</span> &nbsp; <span class="cstat-no" title="statement not covered" > this.set(</span> x, 0, 0, 0, 0, y, 0, 0, 0, 0, z, 0, 0, 0, 0, 1 ); &nbsp; <span class="cstat-no" title="statement not covered" > return this;</span> &nbsp; } } &nbsp; export default Matrix4; &nbsp;</pre></td></tr> </table></pre> <div class='push'></div><!-- for sticky footer --> </div><!-- /wrapper --> <div class='footer quiet pad2 space-top1 center small'> Code coverage generated by <a href="http://istanbul-js.org/" target="_blank">istanbul</a> at Thu Jun 09 2022 09:24:32 GMT+0200 (Central European Summer Time) </div> </div> <script src="../prettify.js"></script> <script> window.onload = function () { if (typeof prettyPrint === 'function') { prettyPrint(); 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