/****************************************************************************** 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 . ******************************************************************************/ #pragma once #include "../util/c99defs.h" #include "math-defs.h" #include "vec3.h" #include /* * Quaternion math * * Generally used to represent rotational data more than anything. Allows * for efficient and correct rotational interpolation without suffering from * things like gimbal lock. */ #ifdef __cplusplus extern "C" { #endif struct matrix3; struct matrix4; struct axisang; struct quat { union { struct { float x, y, z, w; }; float ptr[4]; __m128 m; }; }; static inline void quat_identity(struct quat *q) { q->m = _mm_setzero_ps(); q->w = 1.0f; } static inline void quat_set(struct quat *dst, float x, float y, float z, float w) { dst->m = _mm_set_ps(x, y, z, w); } static inline void quat_copy(struct quat *dst, const struct quat *q) { dst->m = q->m; } static inline void quat_add(struct quat *dst, const struct quat *q1, const struct quat *q2) { dst->m = _mm_add_ps(q1->m, q2->m); } static inline void quat_sub(struct quat *dst, const struct quat *q1, const struct quat *q2) { dst->m = _mm_sub_ps(q1->m, q2->m); } EXPORT void quat_mul(struct quat *dst, const struct quat *q1, const struct quat *q2); static inline void quat_addf(struct quat *dst, const struct quat *q, float f) { dst->m = _mm_add_ps(q->m, _mm_set1_ps(f)); } static inline void quat_subf(struct quat *dst, const struct quat *q, float f) { dst->m = _mm_sub_ps(q->m, _mm_set1_ps(f)); } static inline void quat_mulf(struct quat *dst, const struct quat *q, float f) { dst->m = _mm_mul_ps(q->m, _mm_set1_ps(f)); } static inline void quat_divf(struct quat *dst, const struct quat *q, float f) { dst->m = _mm_div_ps(q->m, _mm_set1_ps(f)); } static inline float quat_dot(const struct quat *q1, const struct quat *q2) { struct vec3 add; __m128 mul = _mm_mul_ps(q1->m, q2->m); add.m = _mm_add_ps(_mm_movehl_ps(mul, mul), mul); add.m = _mm_add_ps(_mm_shuffle_ps(add.m, add.m, 0x55), add.m); return add.x; } static inline void quat_inv(struct quat *dst, const struct quat *q) { dst->x = -q->x; dst->y = -q->y; dst->z = -q->z; } static inline void quat_neg(struct quat *dst, const struct quat *q) { dst->x = -q->x; dst->y = -q->y; dst->z = -q->z; dst->w = -q->w; } static inline float quat_len(const struct quat *q) { float dot_val = quat_dot(q, q); return (dot_val > 0.0f) ? sqrtf(dot_val) : 0.0f; } static inline float quat_dist(const struct quat *q1, const struct quat *q2) { struct quat temp; float dot_val; quat_sub(&temp, q1, q2); dot_val = quat_dot(&temp, &temp); return (dot_val > 0.0f) ? sqrtf(dot_val) : 0.0f; } static inline void quat_norm(struct quat *dst, const struct quat *q) { float dot_val = quat_dot(q, q); dst->m = (dot_val > 0.0f) ? _mm_mul_ps(q->m, _mm_set1_ps(1.0f / sqrtf(dot_val))) : _mm_setzero_ps(); } static inline bool quat_close(const struct quat *q1, const struct quat *q2, float epsilon) { struct quat test; quat_sub(&test, q1, q2); return test.x < epsilon && test.y < epsilon && test.z < epsilon && test.w < epsilon; } EXPORT void quat_from_axisang(struct quat *dst, const struct axisang *aa); EXPORT void quat_from_matrix3(struct quat *dst, const struct matrix3 *m); EXPORT void quat_from_matrix4(struct quat *dst, const struct matrix4 *m); EXPORT void quat_get_dir(struct vec3 *dst, const struct quat *q); EXPORT void quat_set_look_dir(struct quat *dst, const struct vec3 *dir); EXPORT void quat_log(struct quat *dst, const struct quat *q); EXPORT void quat_exp(struct quat *dst, const struct quat *q); EXPORT void quat_interpolate(struct quat *dst, const struct quat *q1, const struct quat *q2, float t); EXPORT void quat_get_tangent(struct quat *dst, const struct quat *prev, const struct quat *q, const struct quat *next); EXPORT void quat_interpolate_cubic(struct quat *dst, const struct quat *q1, const struct quat *q2, const struct quat *m1, const struct quat *m2, float t); #ifdef __cplusplus } #endif