/****************************************************************************** Copyright (C) 2013 by Hugh Bailey This program is free software: you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation, either version 2 of the License, or (at your option) any later version. This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with this program. If not, see . ******************************************************************************/ #include "math-defs.h" #include "matrix4.h" #include "matrix3.h" #include "quat.h" void matrix4_from_matrix3(struct matrix4 *dst, const struct matrix3 *m) { dst->x.m = m->x.m; dst->y.m = m->y.m; dst->z.m = m->z.m; dst->t.m = m->t.m; dst->t.w = 1.0f; } void matrix4_from_quat(struct matrix4 *dst, const struct quat *q) { float norm = quat_dot(q, q); float s = (norm > 0.0f) ? (2.0f / norm) : 0.0f; float xx = q->x * q->x * s; float yy = q->y * q->y * s; float zz = q->z * q->z * s; float xy = q->x * q->y * s; float xz = q->x * q->z * s; float yz = q->y * q->z * s; float wx = q->w * q->x * s; float wy = q->w * q->y * s; float wz = q->w * q->z * s; vec4_set(&dst->x, 1.0f - (yy + zz), xy + wz, xz - wy, 0.0f); vec4_set(&dst->y, xy - wz, 1.0f - (xx + zz), yz + wx, 0.0f); vec4_set(&dst->z, xz + wy, yz - wx, 1.0f - (xx + yy), 0.0f); vec4_set(&dst->t, 0.0f, 0.0f, 0.0f, 1.0f); } void matrix4_from_axisang(struct matrix4 *dst, const struct axisang *aa) { struct quat q; quat_from_axisang(&q, aa); matrix4_from_quat(dst, &q); } void matrix4_mul(struct matrix4 *dst, const struct matrix4 *m1, const struct matrix4 *m2) { const struct vec4 *m1v = (const struct vec4 *)m1; const float *m2f = (const float *)m2; struct vec4 out[4]; int i, j; for (i = 0; i < 4; i++) { for (j = 0; j < 4; j++) { struct vec4 temp; vec4_set(&temp, m2f[j], m2f[j + 4], m2f[j + 8], m2f[j + 12]); out[i].ptr[j] = vec4_dot(&m1v[i], &temp); } } matrix4_copy(dst, (struct matrix4 *)out); } static inline void get_3x3_submatrix(float *dst, const struct matrix4 *m, int i, int j) { const float *mf = (const float *)m; int ti, tj, idst, jdst; for (ti = 0; ti < 4; ti++) { if (ti < i) idst = ti; else if (ti > i) idst = ti - 1; else continue; for (tj = 0; tj < 4; tj++) { if (tj < j) jdst = tj; else if (tj > j) jdst = tj - 1; else continue; dst[(idst * 3) + jdst] = mf[(ti * 4) + tj]; } } } static inline float get_3x3_determinant(const float *m) { return (m[0] * ((m[4] * m[8]) - (m[7] * m[5]))) - (m[1] * ((m[3] * m[8]) - (m[6] * m[5]))) + (m[2] * ((m[3] * m[7]) - (m[6] * m[4]))); } float matrix4_determinant(const struct matrix4 *m) { const float *mf = (const float *)m; float det, result = 0.0f, i = 1.0f; float m3x3[9]; int n; for (n = 0; n < 4; n++, i = -i) { // NOLINT(clang-tidy-cert-flp30-c) get_3x3_submatrix(m3x3, m, 0, n); det = get_3x3_determinant(m3x3); result += mf[n] * det * i; } return result; } void matrix4_translate3v(struct matrix4 *dst, const struct matrix4 *m, const struct vec3 *v) { struct matrix4 temp; vec4_set(&temp.x, 1.0f, 0.0f, 0.0f, 0.0f); vec4_set(&temp.y, 0.0f, 1.0f, 0.0f, 0.0f); vec4_set(&temp.z, 0.0f, 0.0f, 1.0f, 0.0f); vec4_from_vec3(&temp.t, v); matrix4_mul(dst, m, &temp); } void matrix4_translate4v(struct matrix4 *dst, const struct matrix4 *m, const struct vec4 *v) { struct matrix4 temp; vec4_set(&temp.x, 1.0f, 0.0f, 0.0f, 0.0f); vec4_set(&temp.y, 0.0f, 1.0f, 0.0f, 0.0f); vec4_set(&temp.z, 0.0f, 0.0f, 1.0f, 0.0f); vec4_copy(&temp.t, v); matrix4_mul(dst, m, &temp); } void matrix4_rotate(struct matrix4 *dst, const struct matrix4 *m, const struct quat *q) { struct matrix4 temp; matrix4_from_quat(&temp, q); matrix4_mul(dst, m, &temp); } void matrix4_rotate_aa(struct matrix4 *dst, const struct matrix4 *m, const struct axisang *aa) { struct matrix4 temp; matrix4_from_axisang(&temp, aa); matrix4_mul(dst, m, &temp); } void matrix4_scale(struct matrix4 *dst, const struct matrix4 *m, const struct vec3 *v) { struct matrix4 temp; vec4_set(&temp.x, v->x, 0.0f, 0.0f, 0.0f); vec4_set(&temp.y, 0.0f, v->y, 0.0f, 0.0f); vec4_set(&temp.z, 0.0f, 0.0f, v->z, 0.0f); vec4_set(&temp.t, 0.0f, 0.0f, 0.0f, 1.0f); matrix4_mul(dst, m, &temp); } void matrix4_translate3v_i(struct matrix4 *dst, const struct vec3 *v, const struct matrix4 *m) { struct matrix4 temp; vec4_set(&temp.x, 1.0f, 0.0f, 0.0f, 0.0f); vec4_set(&temp.y, 0.0f, 1.0f, 0.0f, 0.0f); vec4_set(&temp.z, 0.0f, 0.0f, 1.0f, 0.0f); vec4_from_vec3(&temp.t, v); matrix4_mul(dst, &temp, m); } void matrix4_translate4v_i(struct matrix4 *dst, const struct vec4 *v, const struct matrix4 *m) { struct matrix4 temp; vec4_set(&temp.x, 1.0f, 0.0f, 0.0f, 0.0f); vec4_set(&temp.y, 0.0f, 1.0f, 0.0f, 0.0f); vec4_set(&temp.z, 0.0f, 0.0f, 1.0f, 0.0f); vec4_copy(&temp.t, v); matrix4_mul(dst, &temp, m); } void matrix4_rotate_i(struct matrix4 *dst, const struct quat *q, const struct matrix4 *m) { struct matrix4 temp; matrix4_from_quat(&temp, q); matrix4_mul(dst, &temp, m); } void matrix4_rotate_aa_i(struct matrix4 *dst, const struct axisang *aa, const struct matrix4 *m) { struct matrix4 temp; matrix4_from_axisang(&temp, aa); matrix4_mul(dst, &temp, m); } void matrix4_scale_i(struct matrix4 *dst, const struct vec3 *v, const struct matrix4 *m) { struct matrix4 temp; vec4_set(&temp.x, v->x, 0.0f, 0.0f, 0.0f); vec4_set(&temp.y, 0.0f, v->y, 0.0f, 0.0f); vec4_set(&temp.z, 0.0f, 0.0f, v->z, 0.0f); vec4_set(&temp.t, 0.0f, 0.0f, 0.0f, 1.0f); matrix4_mul(dst, &temp, m); } bool matrix4_inv(struct matrix4 *dst, const struct matrix4 *m) { struct vec4 *dstv; float det; float m3x3[9]; int i, j, sign; if (dst == m) { struct matrix4 temp = *m; return matrix4_inv(dst, &temp); } dstv = (struct vec4 *)dst; det = matrix4_determinant(m); if (fabs(det) < 0.0005f) return false; for (i = 0; i < 4; i++) { for (j = 0; j < 4; j++) { sign = 1 - ((i + j) % 2) * 2; get_3x3_submatrix(m3x3, m, i, j); dstv[j].ptr[i] = get_3x3_determinant(m3x3) * (float)sign / det; } } return true; } void matrix4_transpose(struct matrix4 *dst, const struct matrix4 *m) { if (dst == m) { struct matrix4 temp = *m; matrix4_transpose(dst, &temp); return; } #ifdef NO_INTRINSICS dst->x.x = m->x.x; dst->x.y = m->y.x; dst->x.z = m->z.x; dst->x.w = m->t.x; dst->y.x = m->x.y; dst->y.y = m->y.y; dst->y.z = m->z.y; dst->y.w = m->t.y; dst->z.x = m->x.z; dst->z.y = m->y.z; dst->z.z = m->z.z; dst->z.w = m->t.z; dst->t.x = m->x.w; dst->t.y = m->y.w; dst->t.z = m->z.w; dst->t.w = m->t.w; #else __m128 a0 = _mm_unpacklo_ps(m->x.m, m->z.m); __m128 a1 = _mm_unpacklo_ps(m->y.m, m->t.m); __m128 a2 = _mm_unpackhi_ps(m->x.m, m->z.m); __m128 a3 = _mm_unpackhi_ps(m->y.m, m->t.m); dst->x.m = _mm_unpacklo_ps(a0, a1); dst->y.m = _mm_unpackhi_ps(a0, a1); dst->z.m = _mm_unpacklo_ps(a2, a3); dst->t.m = _mm_unpackhi_ps(a2, a3); #endif }