cornerstone-math
Version:
Math and computation geometry functionality for cornerstone
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<a href="../index.html">all files</a> / <a href="index.html">src/</a> matrix4.js
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<span class="cline-any cline-neutral"> </span></td><td class="text"><pre class="prettyprint lang-js">import Vector3 from './vector3.js';
// Based on THREE.JS
class Matrix4 {
constructor (n11, n12, n13, n14, n21, n22, n23, n24, n31, n32, n33, n34, n41, n42, n43, n44) {
this.elements = new Float32Array(16);
// 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.
const te = this.elements;
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;
}
makeRotationFromQuaternion (q) <span class="fstat-no" title="function not covered" >{</span>
const te = <span class="cstat-no" title="statement not covered" >this.elements;</span>
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>
<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>
<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>
<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>
// 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>
// 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>
<span class="cstat-no" title="statement not covered" > return this;</span>
}
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>
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>
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>
<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>
<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>
<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>
<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>
<span class="cstat-no" title="statement not covered" > return this;</span>
}
multiply (m, n) <span class="fstat-no" title="function not covered" >{</span>
<span class="cstat-no" title="statement not covered" > if (n !== undefined) {</span>
<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>
<span class="cstat-no" title="statement not covered" > return this.multiplyMatrices(m, n);</span>
}
<span class="cstat-no" title="statement not covered" > return this.multiplyMatrices(this, m);</span>
}
getInverse (m, throwOnInvertible) <span class="fstat-no" title="function not covered" >{</span>
// 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>
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>
<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>
const det = <span class="cstat-no" title="statement not covered" >n11 * te[0] + n21 * te[4] + n31 * te[8] + n41 * te[12];</span>
<span class="cstat-no" title="statement not covered" > if (det === 0) {</span>
const msg = <span class="cstat-no" title="statement not covered" >'Matrix4.getInverse(): can\'t invert matrix, determinant is 0';</span>
<span class="cstat-no" title="statement not covered" > if (throwOnInvertible || false) {</span>
<span class="cstat-no" title="statement not covered" > throw new Error(msg);</span>
} else {
<span class="cstat-no" title="statement not covered" > console.warn(msg);</span>
}
<span class="cstat-no" title="statement not covered" > this.identity();</span>
<span class="cstat-no" title="statement not covered" > return this;</span>
}
<span class="cstat-no" title="statement not covered" > this.multiplyScalar(1 / det);</span>
<span class="cstat-no" title="statement not covered" > return this;</span>
}
applyToVector3Array () <span class="fstat-no" title="function not covered" >{</span>
const v1 = <span class="cstat-no" title="statement not covered" >new Vector3();</span>
<span class="cstat-no" title="statement not covered" > return function (array, offset, length) <span class="fstat-no" title="function not covered" >{</span></span>
<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>
}
<span class="cstat-no" title="statement not covered" > for (var i = 0, j = offset; i < length; i += 3, j += 3) {</span>
<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>
<span class="cstat-no" title="statement not covered" > v1.applyMatrix4(this);</span>
<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>
}
<span class="cstat-no" title="statement not covered" > return array;</span>
};
}
makeTranslation (x, y, z) <span class="fstat-no" title="function not covered" >{</span>
<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
);
<span class="cstat-no" title="statement not covered" > return this;</span>
}
multiplyScalar (s) <span class="fstat-no" title="function not covered" >{</span>
const te = <span class="cstat-no" title="statement not covered" >this.elements;</span>
<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>
<span class="cstat-no" title="statement not covered" > return this;</span>
}
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>
const te = <span class="cstat-no" title="statement not covered" >this.elements;</span>
<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>
<span class="cstat-no" title="statement not covered" > return this;</span>
}
makeScale (x, y, z) <span class="fstat-no" title="function not covered" >{</span>
<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
);
<span class="cstat-no" title="statement not covered" > return this;</span>
}
}
export default Matrix4;
</pre></td></tr>
</table></pre>
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