Solve A
* x
= b
.
Source
static void solve(Matrix4 A, Vector4 x, Vector4 b) { final double a00 = A._m4storage[0]; final double a01 = A._m4storage[1]; final double a02 = A._m4storage[2]; final double a03 = A._m4storage[3]; final double a10 = A._m4storage[4]; final double a11 = A._m4storage[5]; final double a12 = A._m4storage[6]; final double a13 = A._m4storage[7]; final double a20 = A._m4storage[8]; final double a21 = A._m4storage[9]; final double a22 = A._m4storage[10]; final double a23 = A._m4storage[11]; final double a30 = A._m4storage[12]; final double a31 = A._m4storage[13]; final double a32 = A._m4storage[14]; final double a33 = A._m4storage[15]; final double b00 = a00 * a11 - a01 * a10; final double b01 = a00 * a12 - a02 * a10; final double b02 = a00 * a13 - a03 * a10; final double b03 = a01 * a12 - a02 * a11; final double b04 = a01 * a13 - a03 * a11; final double b05 = a02 * a13 - a03 * a12; final double b06 = a20 * a31 - a21 * a30; final double b07 = a20 * a32 - a22 * a30; final double b08 = a20 * a33 - a23 * a30; final double b09 = a21 * a32 - a22 * a31; final double b10 = a21 * a33 - a23 * a31; final double b11 = a22 * a33 - a23 * a32; final double bX = b.storage[0]; final double bY = b.storage[1]; final double bZ = b.storage[2]; final double bW = b.storage[3]; double det = b00 * b11 - b01 * b10 + b02 * b09 + b03 * b08 - b04 * b07 + b05 * b06; if (det != 0.0) { det = 1.0 / det; } x.x = det * ((a11 * b11 - a12 * b10 + a13 * b09) * bX - (a10 * b11 - a12 * b08 + a13 * b07) * bY + (a10 * b10 - a11 * b08 + a13 * b06) * bZ - (a10 * b09 - a11 * b07 + a12 * b06) * bW); x.y = det * -((a01 * b11 - a02 * b10 + a03 * b09) * bX - (a00 * b11 - a02 * b08 + a03 * b07) * bY + (a00 * b10 - a01 * b08 + a03 * b06) * bZ - (a00 * b09 - a01 * b07 + a02 * b06) * bW); x.z = det * ((a31 * b05 - a32 * b04 + a33 * b03) * bX - (a30 * b05 - a32 * b02 + a33 * b01) * bY + (a30 * b04 - a31 * b02 + a33 * b00) * bZ - (a30 * b03 - a31 * b01 + a32 * b00) * bW); x.w = det * -((a21 * b05 - a22 * b04 + a23 * b03) * bX - (a20 * b05 - a22 * b02 + a23 * b01) * bY + (a20 * b04 - a21 * b02 + a23 * b00) * bZ - (a20 * b03 - a21 * b01 + a22 * b00) * bW); }