X-Git-Url: http://de.git.xonotic.org/?p=xonotic%2Fdarkplaces.git;a=blobdiff_plain;f=matrixlib.c;h=e15fb995f3248de63a8d35b7985ee533d4b09125;hp=cfc4627a5b1e544cf01e32417af00179866130fd;hb=e2464fa30eef49aa21b08f1e1089b9542bd4b34e;hpb=ec92fe3d645abca296fef7a17432c1f00259b2b2 diff --git a/matrixlib.c b/matrixlib.c index cfc4627a..e15fb995 100644 --- a/matrixlib.c +++ b/matrixlib.c @@ -1427,12 +1427,116 @@ void Matrix4x4_FromOriginQuat(matrix4x4_t *m, double ox, double oy, double oz, d #endif } +// see http://www.euclideanspace.com/maths/geometry/rotations/conversions/matrixToQuaternion/index.htm +void Matrix4x4_ToOrigin3Quat4Float(const matrix4x4_t *m, float *origin, float *quat) +{ +#if 0 + float s; + quat[3] = sqrt(1.0f + m->m[0][0] + m->m[1][1] + m->m[2][2]) * 0.5f; + s = 0.25f / quat[3]; +#ifdef MATRIX4x4_OPENGLORIENTATION + origin[0] = m->m[3][0]; + origin[1] = m->m[3][1]; + origin[2] = m->m[3][2]; + quat[0] = (m->m[1][2] - m->m[2][1]) * s; + quat[1] = (m->m[2][0] - m->m[0][2]) * s; + quat[2] = (m->m[0][1] - m->m[1][0]) * s; +#else + origin[0] = m->m[0][3]; + origin[1] = m->m[1][3]; + origin[2] = m->m[2][3]; + quat[0] = (m->m[2][1] - m->m[1][2]) * s; + quat[1] = (m->m[0][2] - m->m[2][0]) * s; + quat[2] = (m->m[1][0] - m->m[0][1]) * s; +#endif + +#else + +#ifdef MATRIX4x4_OPENGLORIENTATION + float trace = m->m[0][0] + m->m[1][1] + m->m[2][2]; + origin[0] = m->m[3][0]; + origin[1] = m->m[3][1]; + origin[2] = m->m[3][2]; + if(trace > 0) + { + float r = sqrt(1.0f + trace), inv = 0.5f / r; + quat[0] = (m->m[1][2] - m->m[2][1]) * inv; + quat[1] = (m->m[2][0] - m->m[0][2]) * inv; + quat[2] = (m->m[0][1] - m->m[1][0]) * inv; + quat[3] = 0.5f * r; + } + else if(m->m[0][0] > m->m[1][1] && m->m[0][0] > m->m[2][2]) + { + float r = sqrt(1.0f + m->m[0][0] - m->m[1][1] - m->m[2][2]), inv = 0.5f / r; + quat[0] = 0.5f * r; + quat[1] = (m->m[0][1] + m->m[1][0]) * inv; + quat[2] = (m->m[2][0] + m->m[0][2]) * inv; + quat[3] = (m->m[1][2] - m->m[2][1]) * inv; + } + else if(m->m[1][1] > m->m[2][2]) + { + float r = sqrt(1.0f + m->m[1][1] - m->m[0][0] - m->m[2][2]), inv = 0.5f / r; + quat[0] = (m->m[0][1] + m->m[1][0]) * inv; + quat[1] = 0.5f * r; + quat[2] = (m->m[1][2] + m->m[2][1]) * inv; + quat[3] = (m->m[2][0] - m->m[0][2]) * inv; + } + else + { + float r = sqrt(1.0f + m->m[2][2] - m->m[0][0] - m->m[1][1]), inv = 0.5f / r; + quat[0] = (m->m[2][0] + m->m[0][2]) * inv; + quat[1] = (m->m[1][2] + m->m[2][1]) * inv; + quat[2] = 0.5f * r; + quat[3] = (m->m[0][1] - m->m[1][0]) * inv; + } +#else + float trace = m->m[0][0] + m->m[1][1] + m->m[2][2]; + origin[0] = m->m[0][3]; + origin[1] = m->m[1][3]; + origin[2] = m->m[2][3]; + if(trace > 0) + { + float r = sqrt(1.0f + trace), inv = 0.5f / r; + quat[0] = (m->m[2][1] - m->m[1][2]) * inv; + quat[1] = (m->m[0][2] - m->m[2][0]) * inv; + quat[2] = (m->m[1][0] - m->m[0][1]) * inv; + quat[3] = 0.5f * r; + } + else if(m->m[0][0] > m->m[1][1] && m->m[0][0] > m->m[2][2]) + { + float r = sqrt(1.0f + m->m[0][0] - m->m[1][1] - m->m[2][2]), inv = 0.5f / r; + quat[0] = 0.5f * r; + quat[1] = (m->m[1][0] + m->m[0][1]) * inv; + quat[2] = (m->m[0][2] + m->m[2][0]) * inv; + quat[3] = (m->m[2][1] - m->m[1][2]) * inv; + } + else if(m->m[1][1] > m->m[2][2]) + { + float r = sqrt(1.0f + m->m[1][1] - m->m[0][0] - m->m[2][2]), inv = 0.5f / r; + quat[0] = (m->m[1][0] + m->m[0][1]) * inv; + quat[1] = 0.5f * r; + quat[2] = (m->m[2][1] + m->m[1][2]) * inv; + quat[3] = (m->m[0][2] - m->m[2][0]) * inv; + } + else + { + float r = sqrt(1.0f + m->m[2][2] - m->m[0][0] - m->m[1][1]), inv = 0.5f / r; + quat[0] = (m->m[0][2] + m->m[2][0]) * inv; + quat[1] = (m->m[2][1] + m->m[1][2]) * inv; + quat[2] = 0.5f * r; + quat[3] = (m->m[1][0] - m->m[0][1]) * inv; + } +#endif + +#endif +} + // LordHavoc: I got this code from: //http://www.doom3world.org/phpbb2/viewtopic.php?t=2884 void Matrix4x4_FromDoom3Joint(matrix4x4_t *m, double ox, double oy, double oz, double x, double y, double z) { - double w = 1.0 - (x*x+y*y+z*z); - w = w > 0.0 ? -sqrt(w) : 0.0; + double w = 1.0f - (x*x+y*y+z*z); + w = w > 0.0f ? -sqrt(w) : 0.0f; #ifdef MATRIX4x4_OPENGLORIENTATION m->m[0][0]=1-2*(y*y+z*z);m->m[1][0]= 2*(x*y-z*w);m->m[2][0]= 2*(x*z+y*w);m->m[3][0]=ox; m->m[0][1]= 2*(x*y+z*w);m->m[1][1]=1-2*(x*x+z*z);m->m[2][1]= 2*(y*z-x*w);m->m[3][1]=oy; @@ -1446,6 +1550,41 @@ void Matrix4x4_FromDoom3Joint(matrix4x4_t *m, double ox, double oy, double oz, d #endif } +void Matrix4x4_FromBonePose6s(matrix4x4_t *m, float originscale, const short *pose6s) +{ + float origin[3]; + float quat[4]; + origin[0] = pose6s[0] * originscale; + origin[1] = pose6s[1] * originscale; + origin[2] = pose6s[2] * originscale; + quat[0] = pose6s[3] * (1.0f / 32767.0f); + quat[1] = pose6s[4] * (1.0f / 32767.0f); + quat[2] = pose6s[5] * (1.0f / 32767.0f); + quat[3] = 1.0f - (quat[0]*quat[0]+quat[1]*quat[1]+quat[2]*quat[2]); + quat[3] = quat[3] > 0.0f ? -sqrt(quat[3]) : 0.0f; + Matrix4x4_FromOriginQuat(m, origin[0], origin[1], origin[2], quat[0], quat[1], quat[2], quat[3]); +} + +void Matrix4x4_ToBonePose6s(const matrix4x4_t *m, float origininvscale, short *pose6s) +{ + float origin[3]; + float quat[4]; + float quatscale; + Matrix4x4_ToOrigin3Quat4Float(m, origin, quat); + // normalize quaternion so that it is unit length + quatscale = quat[0]*quat[0]+quat[1]*quat[1]+quat[2]*quat[2]+quat[3]*quat[3]; + if (quatscale) + quatscale = (quat[3] >= 0 ? -32767.0f : 32767.0f) / sqrt(quatscale); + // use a negative scale on the quat because the above function produces a + // positive quat[3] and canonical quaternions have negative quat[3] + pose6s[0] = origin[0] * origininvscale; + pose6s[1] = origin[1] * origininvscale; + pose6s[2] = origin[2] * origininvscale; + pose6s[3] = quat[0] * quatscale; + pose6s[4] = quat[1] * quatscale; + pose6s[5] = quat[2] * quatscale; +} + void Matrix4x4_Blend (matrix4x4_t *out, const matrix4x4_t *in1, const matrix4x4_t *in2, double blend) { double iblend = 1 - blend;