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// This is an incomplete port of http://glmatrix.net/
//
// Copyright (c) 2013 Brandon Jones, Colin MacKenzie IV
//
// This software is provided 'as-is', without any express or implied warranty.
// In no event will the authors be held liable for any damages arising from the
// use of this software.
//
// Permission is granted to anyone to use this software for any purpose,
// including commercial applications, and to alter it and redistribute it
// freely, subject to the following restrictions:
//
// 1. The origin of this software must not be misrepresented; you must not claim
// that you wrote the original software. If you use this software in a
// product, an acknowledgment in the product documentation would be
// appreciated but is not required.
//
// 2. Altered source versions must be plainly marked as such, and must not be
// misrepresented as being the original software.
//
// 3. This notice may not be removed or altered from any source distribution.
#include <llmr/util/mat4.hpp>
#include <cmath>
using namespace llmr;
void matrix::identity(mat4& out) {
out[0] = 1.0f;
out[1] = 0.0f;
out[2] = 0.0f;
out[3] = 0.0f;
out[4] = 0.0f;
out[5] = 1.0f;
out[6] = 0.0f;
out[7] = 0.0f;
out[8] = 0.0f;
out[9] = 0.0f;
out[10] = 1.0f;
out[11] = 0.0f;
out[12] = 0.0f;
out[13] = 0.0f;
out[14] = 0.0f;
out[15] = 1.0f;
}
void matrix::ortho(mat4& out, float left, float right, float bottom, float top, float near, float far) {
float lr = 1.0f / (left - right),
bt = 1.0f / (bottom - top),
nf = 1.0f / (near - far);
out[0] = -2.0f * lr;
out[1] = 0.0f;
out[2] = 0.0f;
out[3] = 0.0f;
out[4] = 0.0f;
out[5] = -2.0f * bt;
out[6] = 0.0f;
out[7] = 0.0f;
out[8] = 0.0f;
out[9] = 0.0f;
out[10] = 2.0f * nf;
out[11] = 0.0f;
out[12] = (left + right) * lr;
out[13] = (top + bottom) * bt;
out[14] = (far + near) * nf;
out[15] = 1.0f;
}
void matrix::copy(mat4& out, const mat4& a) {
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];
}
void matrix::translate(mat4& out, const mat4& a, float x, float y, float z) {
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 {
float a00, a01, a02, a03,
a10, a11, a12, a13,
a20, a21, a22, a23;
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];
}
}
void matrix::rotate_z(mat4& out, const mat4& a, float rad) {
float s = std::sin(rad),
c = std::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;
}
void matrix::scale(mat4& out, const mat4& a, float x, float y, float z) {
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];
}
void matrix::multiply(mat4& out, const mat4& a, const mat4& b) {
float 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
float 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;
}
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