diff options
| author | Aaditya Dhruv <[email protected]> | 2026-01-25 15:10:37 -0600 |
|---|---|---|
| committer | Aaditya Dhruv <[email protected]> | 2026-01-25 15:10:37 -0600 |
| commit | 118980e02e59ff31871df59dce257075394f3533 (patch) | |
| tree | 26fba4492bb4b561d21bf49b35d892a821d54fab /include/cglm/euler.h | |
| parent | 0e6e1245b70df4dfcba135d50e1b53d1a8ef7eb8 (diff) | |
wip
Diffstat (limited to 'include/cglm/euler.h')
| -rw-r--r-- | include/cglm/euler.h | 601 |
1 files changed, 601 insertions, 0 deletions
diff --git a/include/cglm/euler.h b/include/cglm/euler.h new file mode 100644 index 0000000..8fae039 --- /dev/null +++ b/include/cglm/euler.h @@ -0,0 +1,601 @@ +/* + * Copyright (c), Recep Aslantas. + * + * MIT License (MIT), http://opensource.org/licenses/MIT + * Full license can be found in the LICENSE file + */ + +/* + NOTE: + angles must be passed as [X-Angle, Y-Angle, Z-angle] order + For instance you don't pass angles as [Z-Angle, X-Angle, Y-angle] to + glm_euler_zxy function, All RELATED functions accept angles same order + which is [X, Y, Z]. + */ + +/* + Types: + enum glm_euler_seq + + Functions: + CGLM_INLINE glm_euler_seq glm_euler_order(int newOrder[3]); + CGLM_INLINE void glm_euler_angles(mat4 m, vec3 dest); + CGLM_INLINE void glm_euler(vec3 angles, mat4 dest); + CGLM_INLINE void glm_euler_xyz(vec3 angles, mat4 dest); + CGLM_INLINE void glm_euler_zyx(vec3 angles, mat4 dest); + CGLM_INLINE void glm_euler_zxy(vec3 angles, mat4 dest); + CGLM_INLINE void glm_euler_xzy(vec3 angles, mat4 dest); + CGLM_INLINE void glm_euler_yzx(vec3 angles, mat4 dest); + CGLM_INLINE void glm_euler_yxz(vec3 angles, mat4 dest); + CGLM_INLINE void glm_euler_by_order(vec3 angles, + glm_euler_seq ord, + mat4 dest); + CGLM_INLINE void glm_euler_xyz_quat(vec3 angles, versor dest); + CGLM_INLINE void glm_euler_xzy_quat(vec3 angles, versor dest); + CGLM_INLINE void glm_euler_yxz_quat(vec3 angles, versor dest); + CGLM_INLINE void glm_euler_yzx_quat(vec3 angles, versor dest); + CGLM_INLINE void glm_euler_zxy_quat(vec3 angles, versor dest); + CGLM_INLINE void glm_euler_zyx_quat(vec3 angles, versor dest); + */ + +#ifndef cglm_euler_h +#define cglm_euler_h + +#include "common.h" + +#ifdef CGLM_FORCE_LEFT_HANDED +# include "handed/euler_to_quat_lh.h" +#else +# include "handed/euler_to_quat_rh.h" +#endif + + +#ifndef CGLM_CLIPSPACE_INCLUDE_ALL +# if CGLM_CONFIG_CLIP_CONTROL == CGLM_CLIP_CONTROL_LH_ZO +# include "clipspace/ortho_lh_zo.h" +# include "clipspace/persp_lh_zo.h" +# include "clipspace/view_lh_zo.h" +# elif CGLM_CONFIG_CLIP_CONTROL == CGLM_CLIP_CONTROL_LH_NO +# include "clipspace/ortho_lh_no.h" +# include "clipspace/persp_lh_no.h" +# include "clipspace/view_lh_no.h" +# elif CGLM_CONFIG_CLIP_CONTROL == CGLM_CLIP_CONTROL_RH_ZO +# include "clipspace/ortho_rh_zo.h" +# include "clipspace/persp_rh_zo.h" +# include "clipspace/view_rh_zo.h" +# elif CGLM_CONFIG_CLIP_CONTROL == CGLM_CLIP_CONTROL_RH_NO +# include "clipspace/ortho_rh_no.h" +# include "clipspace/persp_rh_no.h" +# include "clipspace/view_rh_no.h" +# endif +#else +# include "clipspace/ortho_lh_zo.h" +# include "clipspace/persp_lh_zo.h" +# include "clipspace/ortho_lh_no.h" +# include "clipspace/persp_lh_no.h" +# include "clipspace/ortho_rh_zo.h" +# include "clipspace/persp_rh_zo.h" +# include "clipspace/ortho_rh_no.h" +# include "clipspace/persp_rh_no.h" +# include "clipspace/view_lh_zo.h" +# include "clipspace/view_lh_no.h" +# include "clipspace/view_rh_zo.h" +# include "clipspace/view_rh_no.h" +#endif + + +/*! + * if you have axis order like vec3 orderVec = [0, 1, 2] or [0, 2, 1]... + * vector then you can convert it to this enum by doing this: + * @code + * glm_euler_seq order; + * order = orderVec[0] | orderVec[1] << 2 | orderVec[2] << 4; + * @endcode + * you may need to explicit cast if required + */ +typedef enum glm_euler_seq { + GLM_EULER_XYZ = 0 << 0 | 1 << 2 | 2 << 4, + GLM_EULER_XZY = 0 << 0 | 2 << 2 | 1 << 4, + GLM_EULER_YZX = 1 << 0 | 2 << 2 | 0 << 4, + GLM_EULER_YXZ = 1 << 0 | 0 << 2 | 2 << 4, + GLM_EULER_ZXY = 2 << 0 | 0 << 2 | 1 << 4, + GLM_EULER_ZYX = 2 << 0 | 1 << 2 | 0 << 4 +} glm_euler_seq; + +CGLM_INLINE +glm_euler_seq +glm_euler_order(int ord[3]) { + return (glm_euler_seq)(ord[0] << 0 | ord[1] << 2 | ord[2] << 4); +} + +/*! + * @brief extract euler angles (in radians) using xyz order + * + * @param[in] m affine transform + * @param[out] dest angles vector [x, y, z] + */ +CGLM_INLINE +void +glm_euler_angles(mat4 m, vec3 dest) { + float m00, m01, m10, m11, m20, m21, m22; + float thetaX, thetaY, thetaZ; + + m00 = m[0][0]; m10 = m[1][0]; m20 = m[2][0]; + m01 = m[0][1]; m11 = m[1][1]; m21 = m[2][1]; + m22 = m[2][2]; + + if (m20 < 1.0f) { + if (m20 > -1.0f) { + thetaY = asinf(m20); + thetaX = atan2f(-m21, m22); + thetaZ = atan2f(-m10, m00); + } else { /* m20 == -1 */ + /* Not a unique solution */ + thetaY = -GLM_PI_2f; + thetaX = -atan2f(m01, m11); + thetaZ = 0.0f; + } + } else { /* m20 == +1 */ + thetaY = GLM_PI_2f; + thetaX = atan2f(m01, m11); + thetaZ = 0.0f; + } + + dest[0] = thetaX; + dest[1] = thetaY; + dest[2] = thetaZ; +} + +/*! + * @brief build rotation matrix from euler angles + * + * @param[in] angles angles as vector [Xangle, Yangle, Zangle] + * @param[out] dest rotation matrix + */ +CGLM_INLINE +void +glm_euler_xyz(vec3 angles, mat4 dest) { + float cx, cy, cz, + sx, sy, sz, czsx, cxcz, sysz; + + sx = sinf(angles[0]); cx = cosf(angles[0]); + sy = sinf(angles[1]); cy = cosf(angles[1]); + sz = sinf(angles[2]); cz = cosf(angles[2]); + + czsx = cz * sx; + cxcz = cx * cz; + sysz = sy * sz; + + dest[0][0] = cy * cz; + dest[0][1] = czsx * sy + cx * sz; + dest[0][2] = -cxcz * sy + sx * sz; + dest[1][0] = -cy * sz; + dest[1][1] = cxcz - sx * sysz; + dest[1][2] = czsx + cx * sysz; + dest[2][0] = sy; + dest[2][1] = -cy * sx; + dest[2][2] = cx * cy; + dest[0][3] = 0.0f; + dest[1][3] = 0.0f; + dest[2][3] = 0.0f; + dest[3][0] = 0.0f; + dest[3][1] = 0.0f; + dest[3][2] = 0.0f; + dest[3][3] = 1.0f; +} + +/*! + * @brief build rotation matrix from euler angles + * + * @param[in] angles angles as vector [Xangle, Yangle, Zangle] + * @param[out] dest rotation matrix + */ +CGLM_INLINE +void +glm_euler(vec3 angles, mat4 dest) { + glm_euler_xyz(angles, dest); +} + +/*! + * @brief build rotation matrix from euler angles + * + * @param[in] angles angles as vector [Xangle, Yangle, Zangle] + * @param[out] dest rotation matrix + */ +CGLM_INLINE +void +glm_euler_xzy(vec3 angles, mat4 dest) { + float cx, cy, cz, + sx, sy, sz, sxsy, cysx, cxsy, cxcy; + + sx = sinf(angles[0]); cx = cosf(angles[0]); + sy = sinf(angles[1]); cy = cosf(angles[1]); + sz = sinf(angles[2]); cz = cosf(angles[2]); + + sxsy = sx * sy; + cysx = cy * sx; + cxsy = cx * sy; + cxcy = cx * cy; + + dest[0][0] = cy * cz; + dest[0][1] = sxsy + cxcy * sz; + dest[0][2] = -cxsy + cysx * sz; + dest[1][0] = -sz; + dest[1][1] = cx * cz; + dest[1][2] = cz * sx; + dest[2][0] = cz * sy; + dest[2][1] = -cysx + cxsy * sz; + dest[2][2] = cxcy + sxsy * sz; + dest[0][3] = 0.0f; + dest[1][3] = 0.0f; + dest[2][3] = 0.0f; + dest[3][0] = 0.0f; + dest[3][1] = 0.0f; + dest[3][2] = 0.0f; + dest[3][3] = 1.0f; +} + +/*! + * @brief build rotation matrix from euler angles + * + * @param[in] angles angles as vector [Xangle, Yangle, Zangle] + * @param[out] dest rotation matrix + */ +CGLM_INLINE +void +glm_euler_yxz(vec3 angles, mat4 dest) { + float cx, cy, cz, + sx, sy, sz, cycz, sysz, czsy, cysz; + + sx = sinf(angles[0]); cx = cosf(angles[0]); + sy = sinf(angles[1]); cy = cosf(angles[1]); + sz = sinf(angles[2]); cz = cosf(angles[2]); + + cycz = cy * cz; + sysz = sy * sz; + czsy = cz * sy; + cysz = cy * sz; + + dest[0][0] = cycz + sx * sysz; + dest[0][1] = cx * sz; + dest[0][2] = -czsy + cysz * sx; + dest[1][0] = -cysz + czsy * sx; + dest[1][1] = cx * cz; + dest[1][2] = cycz * sx + sysz; + dest[2][0] = cx * sy; + dest[2][1] = -sx; + dest[2][2] = cx * cy; + dest[0][3] = 0.0f; + dest[1][3] = 0.0f; + dest[2][3] = 0.0f; + dest[3][0] = 0.0f; + dest[3][1] = 0.0f; + dest[3][2] = 0.0f; + dest[3][3] = 1.0f; +} + +/*! + * @brief build rotation matrix from euler angles + * + * @param[in] angles angles as vector [Xangle, Yangle, Zangle] + * @param[out] dest rotation matrix + */ +CGLM_INLINE +void +glm_euler_yzx(vec3 angles, mat4 dest) { + float cx, cy, cz, + sx, sy, sz, sxsy, cxcy, cysx, cxsy; + + sx = sinf(angles[0]); cx = cosf(angles[0]); + sy = sinf(angles[1]); cy = cosf(angles[1]); + sz = sinf(angles[2]); cz = cosf(angles[2]); + + sxsy = sx * sy; + cxcy = cx * cy; + cysx = cy * sx; + cxsy = cx * sy; + + dest[0][0] = cy * cz; + dest[0][1] = sz; + dest[0][2] = -cz * sy; + dest[1][0] = sxsy - cxcy * sz; + dest[1][1] = cx * cz; + dest[1][2] = cysx + cxsy * sz; + dest[2][0] = cxsy + cysx * sz; + dest[2][1] = -cz * sx; + dest[2][2] = cxcy - sxsy * sz; + dest[0][3] = 0.0f; + dest[1][3] = 0.0f; + dest[2][3] = 0.0f; + dest[3][0] = 0.0f; + dest[3][1] = 0.0f; + dest[3][2] = 0.0f; + dest[3][3] = 1.0f; +} + +/*! + * @brief build rotation matrix from euler angles + * + * @param[in] angles angles as vector [Xangle, Yangle, Zangle] + * @param[out] dest rotation matrix + */ +CGLM_INLINE +void +glm_euler_zxy(vec3 angles, mat4 dest) { + float cx, cy, cz, + sx, sy, sz, cycz, sxsy, cysz; + + sx = sinf(angles[0]); cx = cosf(angles[0]); + sy = sinf(angles[1]); cy = cosf(angles[1]); + sz = sinf(angles[2]); cz = cosf(angles[2]); + + cycz = cy * cz; + sxsy = sx * sy; + cysz = cy * sz; + + dest[0][0] = cycz - sxsy * sz; + dest[0][1] = cz * sxsy + cysz; + dest[0][2] = -cx * sy; + dest[1][0] = -cx * sz; + dest[1][1] = cx * cz; + dest[1][2] = sx; + dest[2][0] = cz * sy + cysz * sx; + dest[2][1] = -cycz * sx + sy * sz; + dest[2][2] = cx * cy; + dest[0][3] = 0.0f; + dest[1][3] = 0.0f; + dest[2][3] = 0.0f; + dest[3][0] = 0.0f; + dest[3][1] = 0.0f; + dest[3][2] = 0.0f; + dest[3][3] = 1.0f; +} + +/*! + * @brief build rotation matrix from euler angles + * + * @param[in] angles angles as vector [Xangle, Yangle, Zangle] + * @param[out] dest rotation matrix + */ +CGLM_INLINE +void +glm_euler_zyx(vec3 angles, mat4 dest) { + float cx, cy, cz, + sx, sy, sz, czsx, cxcz, sysz; + + sx = sinf(angles[0]); cx = cosf(angles[0]); + sy = sinf(angles[1]); cy = cosf(angles[1]); + sz = sinf(angles[2]); cz = cosf(angles[2]); + + czsx = cz * sx; + cxcz = cx * cz; + sysz = sy * sz; + + dest[0][0] = cy * cz; + dest[0][1] = cy * sz; + dest[0][2] = -sy; + dest[1][0] = czsx * sy - cx * sz; + dest[1][1] = cxcz + sx * sysz; + dest[1][2] = cy * sx; + dest[2][0] = cxcz * sy + sx * sz; + dest[2][1] = -czsx + cx * sysz; + dest[2][2] = cx * cy; + dest[0][3] = 0.0f; + dest[1][3] = 0.0f; + dest[2][3] = 0.0f; + dest[3][0] = 0.0f; + dest[3][1] = 0.0f; + dest[3][2] = 0.0f; + dest[3][3] = 1.0f; +} + +/*! + * @brief build rotation matrix from euler angles + * + * @param[in] angles angles as vector [Xangle, Yangle, Zangle] + * @param[in] ord euler order + * @param[out] dest rotation matrix + */ +CGLM_INLINE +void +glm_euler_by_order(vec3 angles, glm_euler_seq ord, mat4 dest) { + float cx, cy, cz, + sx, sy, sz; + + float cycz, cysz, cysx, cxcy, + czsy, cxcz, czsx, cxsz, + sysz; + + sx = sinf(angles[0]); cx = cosf(angles[0]); + sy = sinf(angles[1]); cy = cosf(angles[1]); + sz = sinf(angles[2]); cz = cosf(angles[2]); + + cycz = cy * cz; cysz = cy * sz; + cysx = cy * sx; cxcy = cx * cy; + czsy = cz * sy; cxcz = cx * cz; + czsx = cz * sx; cxsz = cx * sz; + sysz = sy * sz; + + switch (ord) { + case GLM_EULER_XZY: + dest[0][0] = cycz; + dest[0][1] = sx * sy + cx * cysz; + dest[0][2] = -cx * sy + cysx * sz; + dest[1][0] = -sz; + dest[1][1] = cxcz; + dest[1][2] = czsx; + dest[2][0] = czsy; + dest[2][1] = -cysx + cx * sysz; + dest[2][2] = cxcy + sx * sysz; + break; + case GLM_EULER_XYZ: + dest[0][0] = cycz; + dest[0][1] = czsx * sy + cxsz; + dest[0][2] = -cx * czsy + sx * sz; + dest[1][0] = -cysz; + dest[1][1] = cxcz - sx * sysz; + dest[1][2] = czsx + cx * sysz; + dest[2][0] = sy; + dest[2][1] = -cysx; + dest[2][2] = cxcy; + break; + case GLM_EULER_YXZ: + dest[0][0] = cycz + sx * sysz; + dest[0][1] = cxsz; + dest[0][2] = -czsy + cysx * sz; + dest[1][0] = czsx * sy - cysz; + dest[1][1] = cxcz; + dest[1][2] = cycz * sx + sysz; + dest[2][0] = cx * sy; + dest[2][1] = -sx; + dest[2][2] = cxcy; + break; + case GLM_EULER_YZX: + dest[0][0] = cycz; + dest[0][1] = sz; + dest[0][2] = -czsy; + dest[1][0] = sx * sy - cx * cysz; + dest[1][1] = cxcz; + dest[1][2] = cysx + cx * sysz; + dest[2][0] = cx * sy + cysx * sz; + dest[2][1] = -czsx; + dest[2][2] = cxcy - sx * sysz; + break; + case GLM_EULER_ZXY: + dest[0][0] = cycz - sx * sysz; + dest[0][1] = czsx * sy + cysz; + dest[0][2] = -cx * sy; + dest[1][0] = -cxsz; + dest[1][1] = cxcz; + dest[1][2] = sx; + dest[2][0] = czsy + cysx * sz; + dest[2][1] = -cycz * sx + sysz; + dest[2][2] = cxcy; + break; + case GLM_EULER_ZYX: + dest[0][0] = cycz; + dest[0][1] = cysz; + dest[0][2] = -sy; + dest[1][0] = czsx * sy - cxsz; + dest[1][1] = cxcz + sx * sysz; + dest[1][2] = cysx; + dest[2][0] = cx * czsy + sx * sz; + dest[2][1] = -czsx + cx * sysz; + dest[2][2] = cxcy; + break; + } + + dest[0][3] = 0.0f; + dest[1][3] = 0.0f; + dest[2][3] = 0.0f; + dest[3][0] = 0.0f; + dest[3][1] = 0.0f; + dest[3][2] = 0.0f; + dest[3][3] = 1.0f; +} + + +/*! + * @brief creates NEW quaternion using rotation angles and does + * rotations in x y z order (roll pitch yaw) + * + * @param[in] angles angles x y z (radians) + * @param[out] dest quaternion + */ +CGLM_INLINE +void +glm_euler_xyz_quat(vec3 angles, versor dest) { +#ifdef CGLM_FORCE_LEFT_HANDED + glm_euler_xyz_quat_lh(angles, dest); +#else + glm_euler_xyz_quat_rh(angles, dest); +#endif +} + +/*! + * @brief creates NEW quaternion using rotation angles and does + * rotations in x z y order (roll yaw pitch) + * + * @param[in] angles angles x y z (radians) + * @param[out] dest quaternion + */ +CGLM_INLINE +void +glm_euler_xzy_quat(vec3 angles, versor dest) { +#ifdef CGLM_FORCE_LEFT_HANDED + glm_euler_xzy_quat_lh(angles, dest); +#else + glm_euler_xzy_quat_rh(angles, dest); +#endif +} + +/*! + * @brief creates NEW quaternion using rotation angles and does + * rotations in y x z order (pitch roll yaw) + * + * @param[in] angles angles x y z (radians) + * @param[out] dest quaternion + */ +CGLM_INLINE +void +glm_euler_yxz_quat(vec3 angles, versor dest) { +#ifdef CGLM_FORCE_LEFT_HANDED + glm_euler_yxz_quat_lh(angles, dest); +#else + glm_euler_yxz_quat_rh(angles, dest); +#endif +} + +/*! + * @brief creates NEW quaternion using rotation angles and does + * rotations in y z x order (pitch yaw roll) + * + * @param[in] angles angles x y z (radians) + * @param[out] dest quaternion + */ +CGLM_INLINE +void +glm_euler_yzx_quat(vec3 angles, versor dest) { +#ifdef CGLM_FORCE_LEFT_HANDED + glm_euler_yzx_quat_lh(angles, dest); +#else + glm_euler_yzx_quat_rh(angles, dest); +#endif +} + +/*! + * @brief creates NEW quaternion using rotation angles and does + * rotations in z x y order (yaw roll pitch) + * + * @param[in] angles angles x y z (radians) + * @param[out] dest quaternion + */ +CGLM_INLINE +void +glm_euler_zxy_quat(vec3 angles, versor dest) { +#ifdef CGLM_FORCE_LEFT_HANDED + glm_euler_zxy_quat_lh(angles, dest); +#else + glm_euler_zxy_quat_rh(angles, dest); +#endif +} + +/*! + * @brief creates NEW quaternion using rotation angles and does + * rotations in z y x order (yaw pitch roll) + * + * @param[in] angles angles x y z (radians) + * @param[out] dest quaternion + */ +CGLM_INLINE +void +glm_euler_zyx_quat(vec3 angles, versor dest) { +#ifdef CGLM_FORCE_LEFT_HANDED + glm_euler_zyx_quat_lh(angles, dest); +#else + glm_euler_zyx_quat_rh(angles, dest); +#endif +} + + +#endif /* cglm_euler_h */ |
