#include <cgmath/cgmath.h>
#include "cmesh.h"
#include "meshgen.h"
+#include "frac.h"
#include "sdr.h"
static const char *vsdr_src =
static int bnstate[8];
static int mx, my;
+static struct fracture frac;
static struct cmesh *mesh;
static unsigned int sdr;
+static int cur, pending;
+static int show_orig = 1;
+static int show_points;
+
+
int main(int argc, char **argv)
{
glutInit(&argc, argv);
glMaterialfv(GL_FRONT_AND_BACK, GL_SPECULAR, specular);
glMaterialf(GL_FRONT_AND_BACK, GL_SHININESS, 60);
- bind_program(sdr);
-
mesh = cmesh_alloc();
gen_torus(mesh, 2, 0.8, 24, 12, 1, 1);
+ if(frac_init(&frac) == -1) {
+ return -1;
+ }
+ frac_mesh(&frac, mesh);
+
return 0;
}
free_program(sdr);
}
+static void update(void)
+{
+ if(pending > cur) {
+ switch(cur) {
+ case 0:
+ if(frac_gen_points(&frac, 16) == -1) {
+ cur++;
+ } else {
+ pending = cur;
+ }
+ show_points = 1;
+ break;
+
+ case 1:
+ if(frac_build_cells(&frac) != -1) {
+ cur++;
+ } else {
+ pending = cur;
+ }
+ break;
+
+ case 2:
+ if(frac_build_shell(&frac) != -1) {
+ cur++;
+ } else {
+ pending = cur;
+ }
+ break;
+
+ case 3:
+ if(frac_build_walls(&frac) != -1) {
+ cur++;
+ } else {
+ pending = cur;
+ }
+ break;
+
+ default:
+ break;
+ }
+ if(pending > cur) glutPostRedisplay();
+ }
+}
+
static void display(void)
{
+ int i, num;
+
+ update();
+
glClear(GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT);
cgm_mtranslation(view_mat, 0, 0, -view_dist);
glMatrixMode(GL_MODELVIEW);
glLoadMatrixf(view_mat);
- cmesh_draw(mesh);
+ if(show_orig) {
+ bind_program(sdr);
+ cmesh_draw(mesh);
+ }
+ if(show_points) {
+ num = frac_num_cells(&frac);
+ bind_program(0);
+
+ glPushAttrib(GL_ENABLE_BIT);
+ glDisable(GL_DEPTH_TEST);
+ glDisable(GL_LIGHTING);
+ glEnable(GL_BLEND);
+ glBlendFunc(GL_ONE, GL_ONE);
+
+ glPointSize(2.0f);
+ glBegin(GL_POINTS);
+ glColor3f(0.1, 0.8, 0.1);
+ for(i=0; i<num; i++) {
+ glVertex3fv(&frac.cells[i].pt.x);
+ }
+ glEnd();
+
+ glPopAttrib();
+ }
assert(glGetError() == GL_NO_ERROR);
glutSwapBuffers();
static void keydown(unsigned char key, int x, int y)
{
+ int n;
+
switch(key) {
case 27:
exit(0);
+
+ case 'o':
+ show_orig ^= 1;
+ glutPostRedisplay();
+ break;
+
+ case 'p':
+ show_points ^= 1;
+ glutPostRedisplay();
+ break;
+
+ default:
+ if(key >= '1' && key <= '4') {
+ n = key - '0';
+ if(cur < n) {
+ pending = n;
+ glutPostRedisplay();
+ }
+ }
}
}
--- /dev/null
+/* gph-cmath - C graphics math library
+ * Copyright (C) 2018 John Tsiombikas <nuclear@member.fsf.org>
+ *
+ * This program is free software. Feel free to use, modify, and/or redistribute
+ * it under the terms of the MIT/X11 license. See LICENSE for details.
+ * If you intend to redistribute parts of the code without the LICENSE file
+ * replace this paragraph with the full contents of the LICENSE file.
+ *
+ * Function prefixes signify the data type of their operand(s):
+ * - cgm_v... functions are operations on cgm_vec3 vectors
+ * - cgm_w... functions are operations on cgm_vec4 vectors
+ * - cgm_q... functions are operations on cgm_quat quaternions (w + xi + yj + zk)
+ * - cgm_m... functions are operations on 4x4 matrices (stored as linear 16 float arrays)
+ * - cgm_r... functions are operations on cgm_ray rays
+ *
+ * NOTE: *ALL* matrix arguments are pointers to 16 floats. Even the functions
+ * which operate on 3x3 matrices, actually use the upper 3x3 of a 4x4 matrix,
+ * and still expect an array of 16 floats.
+ *
+ * NOTE: matrices are treated by all operations as column-major, to match OpenGL
+ * conventions, so everything is pretty much transposed.
+*/
+#ifndef CGMATH_H_
+#define CGMATH_H_
+
+#include <math.h>
+#include <string.h>
+
+typedef struct {
+ float x, y;
+} cgm_vec2;
+
+typedef struct {
+ float x, y, z;
+} cgm_vec3;
+
+typedef struct {
+ float x, y, z, w;
+} cgm_vec4, cgm_quat;
+
+typedef struct {
+ cgm_vec3 origin, dir;
+} cgm_ray;
+
+typedef enum cgm_euler_mode {
+ CGM_EULER_XYZ,
+ CGM_EULER_XZY,
+ CGM_EULER_YXZ,
+ CGM_EULER_YZX,
+ CGM_EULER_ZXY,
+ CGM_EULER_ZYX,
+ CGM_EULER_ZXZ,
+ CGM_EULER_ZYZ,
+ CGM_EULER_YXY,
+ CGM_EULER_YZY,
+ CGM_EULER_XYX,
+ CGM_EULER_XZX
+} cgm_euler_mode;
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+/* --- operations on cgm_vec3 --- */
+static inline void cgm_vcons(cgm_vec3 *v, float x, float y, float z);
+
+static inline void cgm_vadd(cgm_vec3 *a, const cgm_vec3 *b);
+static inline void cgm_vadd_scaled(cgm_vec3 *a, const cgm_vec3 *b, float s); /* a+b*s */
+static inline void cgm_vsub(cgm_vec3 *a, const cgm_vec3 *b);
+static inline void cgm_vsub_scaled(cgm_vec3 *a, const cgm_vec3 *b, float s); /* a-b*s */
+static inline void cgm_vmul(cgm_vec3 *a, const cgm_vec3 *b);
+static inline void cgm_vscale(cgm_vec3 *v, float s);
+static inline void cgm_vmul_m4v3(cgm_vec3 *v, const float *m); /* m4x4 * v */
+static inline void cgm_vmul_v3m4(cgm_vec3 *v, const float *m); /* v * m4x4 */
+static inline void cgm_vmul_m3v3(cgm_vec3 *v, const float *m); /* m3x3 * v (m still 16 floats) */
+static inline void cgm_vmul_v3m3(cgm_vec3 *v, const float *m); /* v * m3x3 (m still 16 floats) */
+
+static inline float cgm_vdot(const cgm_vec3 *a, const cgm_vec3 *b);
+static inline void cgm_vcross(cgm_vec3 *res, const cgm_vec3 *a, const cgm_vec3 *b);
+static inline float cgm_vlength(const cgm_vec3 *v);
+static inline float cgm_vlength_sq(const cgm_vec3 *v);
+static inline float cgm_vdist(const cgm_vec3 *a, const cgm_vec3 *b);
+static inline float cgm_vdist_sq(const cgm_vec3 *a, const cgm_vec3 *b);
+static inline void cgm_vnormalize(cgm_vec3 *v);
+
+static inline void cgm_vreflect(cgm_vec3 *v, const cgm_vec3 *n);
+static inline void cgm_vrefract(cgm_vec3 *v, const cgm_vec3 *n, float ior);
+
+static inline void cgm_vrotate_quat(cgm_vec3 *v, const cgm_quat *q);
+static inline void cgm_vrotate_axis(cgm_vec3 *v, int axis, float angle);
+static inline void cgm_vrotate(cgm_vec3 *v, float angle, float x, float y, float z);
+static inline void cgm_vrotate_euler(cgm_vec3 *v, float a, float b, float c, enum cgm_euler_mode mode);
+
+static inline void cgm_vlerp(cgm_vec3 *res, const cgm_vec3 *a, const cgm_vec3 *b, float t);
+
+#define cgm_velem(vptr, idx) ((&(vptr)->x)[idx])
+
+/* --- operations on cgm_vec4 --- */
+static inline void cgm_wcons(cgm_vec4 *v, float x, float y, float z, float w);
+
+static inline void cgm_wadd(cgm_vec4 *a, const cgm_vec4 *b);
+static inline void cgm_wsub(cgm_vec4 *a, const cgm_vec4 *b);
+static inline void cgm_wmul(cgm_vec4 *a, const cgm_vec4 *b);
+static inline void cgm_wscale(cgm_vec4 *v, float s);
+
+static inline void cgm_wmul_m4v4(cgm_vec4 *v, const float *m);
+static inline void cgm_wmul_v4m4(cgm_vec4 *v, const float *m);
+static inline void cgm_wmul_m34v4(cgm_vec4 *v, const float *m); /* doesn't affect w */
+static inline void cgm_wmul_v4m43(cgm_vec4 *v, const float *m); /* doesn't affect w */
+static inline void cgm_wmul_m3v4(cgm_vec4 *v, const float *m); /* (m still 16 floats) */
+static inline void cgm_wmul_v4m3(cgm_vec4 *v, const float *m); /* (m still 16 floats) */
+
+static inline float cgm_wdot(const cgm_vec4 *a, const cgm_vec4 *b);
+
+static inline float cgm_wlength(const cgm_vec4 *v);
+static inline float cgm_wlength_sq(const cgm_vec4 *v);
+static inline float cgm_wdist(const cgm_vec4 *a, const cgm_vec4 *b);
+static inline float cgm_wdist_sq(const cgm_vec4 *a, const cgm_vec4 *b);
+static inline void cgm_wnormalize(cgm_vec4 *v);
+
+static inline void cgm_wlerp(cgm_vec4 *res, const cgm_vec4 *a, const cgm_vec4 *b, float t);
+
+#define cgm_welem(vptr, idx) ((&(vptr)->x)[idx])
+
+/* --- operations on quaternions --- */
+static inline void cgm_qcons(cgm_quat *q, float x, float y, float z, float w);
+
+static inline void cgm_qneg(cgm_quat *q);
+static inline void cgm_qadd(cgm_quat *a, const cgm_quat *b);
+static inline void cgm_qsub(cgm_quat *a, const cgm_quat *b);
+static inline void cgm_qmul(cgm_quat *a, const cgm_quat *b);
+
+static inline float cgm_qlength(const cgm_quat *q);
+static inline float cgm_qlength_sq(const cgm_quat *q);
+static inline void cgm_qnormalize(cgm_quat *q);
+static inline void cgm_qconjugate(cgm_quat *q);
+static inline void cgm_qinvert(cgm_quat *q);
+
+static inline void cgm_qrotation(cgm_quat *q, float angle, float x, float y, float z);
+static inline void cgm_qrotate(cgm_quat *q, float angle, float x, float y, float z);
+
+static inline void cgm_qslerp(cgm_quat *res, const cgm_quat *a, const cgm_quat *b, float t);
+static inline void cgm_qlerp(cgm_quat *res, const cgm_quat *a, const cgm_quat *b, float t);
+
+#define cgm_qelem(qptr, idx) ((&(qptr)->x)[idx])
+
+/* --- operations on matrices --- */
+static inline void cgm_mcopy(float *dest, const float *src);
+static inline void cgm_mzero(float *m);
+static inline void cgm_midentity(float *m);
+
+static inline void cgm_mmul(float *a, const float *b);
+static inline void cgm_mpremul(float *a, const float *b);
+
+static inline void cgm_msubmatrix(float *m, int row, int col);
+static inline void cgm_mupper3(float *m);
+static inline float cgm_msubdet(const float *m, int row, int col);
+static inline float cgm_mcofactor(const float *m, int row, int col);
+static inline float cgm_mdet(const float *m);
+static inline void cgm_mtranspose(float *m);
+static inline void cgm_mcofmatrix(float *m);
+static inline int cgm_minverse(float *m); /* returns 0 on success, -1 for singular */
+
+static inline void cgm_mtranslation(float *m, float x, float y, float z);
+static inline void cgm_mscaling(float *m, float sx, float sy, float sz);
+static inline void cgm_mrotation_x(float *m, float angle);
+static inline void cgm_mrotation_y(float *m, float angle);
+static inline void cgm_mrotation_z(float *m, float angle);
+static inline void cgm_mrotation_axis(float *m, int idx, float angle);
+static inline void cgm_mrotation(float *m, float angle, float x, float y, float z);
+static inline void cgm_mrotation_euler(float *m, float a, float b, float c, int mode);
+static inline void cgm_mrotation_quat(float *m, const cgm_quat *q);
+
+static inline void cgm_mtranslate(float *m, float x, float y, float z);
+static inline void cgm_mscale(float *m, float sx, float sy, float sz);
+static inline void cgm_mrotate_x(float *m, float angle);
+static inline void cgm_mrotate_y(float *m, float angle);
+static inline void cgm_mrotate_z(float *m, float angle);
+static inline void cgm_mrotate_axis(float *m, int idx, float angle);
+static inline void cgm_mrotate(float *m, float angle, float x, float y, float z);
+static inline void cgm_mrotate_euler(float *m, float a, float b, float c, int mode);
+static inline void cgm_mrotate_quat(float *m, const cgm_quat *q);
+
+static inline void cgm_mpretranslate(float *m, float x, float y, float z);
+static inline void cgm_mprescale(float *m, float sx, float sy, float sz);
+static inline void cgm_mprerotate_x(float *m, float angle);
+static inline void cgm_mprerotate_y(float *m, float angle);
+static inline void cgm_mprerotate_z(float *m, float angle);
+static inline void cgm_mprerotate_axis(float *m, int idx, float angle);
+static inline void cgm_mprerotate(float *m, float angle, float x, float y, float z);
+static inline void cgm_mprerotate_euler(float *m, float a, float b, float c, int mode);
+static inline void cgm_mprerotate_quat(float *m, const cgm_quat *q);
+
+static inline void cgm_mget_translation(const float *m, cgm_vec3 *res);
+static inline void cgm_mget_rotation(const float *m, cgm_quat *res);
+static inline void cgm_mget_scaling(const float *m, cgm_vec3 *res);
+static inline void cgm_mget_frustum_plane(const float *m, int p, cgm_vec4 *res);
+
+static inline void cgm_mlookat(float *m, const cgm_vec3 *pos, const cgm_vec3 *targ,
+ const cgm_vec3 *up);
+static inline void cgm_minv_lookat(float *m, const cgm_vec3 *pos, const cgm_vec3 *targ,
+ const cgm_vec3 *up);
+static inline void cgm_mortho(float *m, float left, float right, float bot, float top,
+ float znear, float zfar);
+static inline void cgm_mfrustum(float *m, float left, float right, float bot, float top,
+ float znear, float zfar);
+static inline void cgm_mperspective(float *m, float vfov, float aspect, float znear, float zfar);
+
+static inline void cgm_mmirror(float *m, float a, float b, float c, float d);
+
+/* --- operations on rays --- */
+static inline void cgm_rcons(cgm_ray *r, float x, float y, float z, float dx, float dy, float dz);
+
+static inline void cgm_rmul_mr(cgm_ray *ray, const float *m); /* m4x4 * ray */
+static inline void cgm_rmul_rm(cgm_ray *ray, const float *m); /* ray * m4x4 */
+
+static inline void cgm_rreflect(cgm_ray *ray, const cgm_vec3 *n);
+static inline void cgm_rrefract(cgm_ray *ray, const cgm_vec3 *n, float ior);
+
+/* --- miscellaneous utility functions --- */
+static inline float cgm_deg_to_rad(float deg);
+static inline float cgm_rad_to_deg(float rad);
+
+static inline float cgm_smoothstep(float a, float b, float x);
+static inline float cgm_lerp(float a, float b, float t);
+static inline float cgm_logerp(float a, float b, float t);
+static inline float cgm_bezier(float a, float b, float c, float d, float t);
+static inline float cgm_bspline(float a, float b, float c, float d, float t);
+static inline float cgm_spline(float a, float b, float c, float d, float t);
+
+static inline void cgm_discrand(cgm_vec3 *v, float rad);
+static inline void cgm_sphrand(cgm_vec3 *v, float rad);
+
+static inline void cgm_unproject(cgm_vec3 *res, const cgm_vec3 *norm_scrpos,
+ const float *inv_viewproj);
+static inline void cgm_glu_unproject(float winx, float winy, float winz,
+ const float *view, const float *proj, const int *vp,
+ float *objx, float *objy, float *objz);
+
+static inline void cgm_pick_ray(cgm_ray *ray, float nx, float ny,
+ const float *viewmat, const float *projmat);
+
+static inline void cgm_raypos(cgm_vec3 *p, const cgm_ray *ray, float t);
+
+/* calculate barycentric coordinates of point pt in triangle (a, b, c) */
+static inline void cgm_bary(cgm_vec3 *bary, const cgm_vec3 *a,
+ const cgm_vec3 *b, const cgm_vec3 *c, const cgm_vec3 *pt);
+
+/* convert between unit vectors and spherical coordinates */
+static inline void cgm_uvec_to_sph(float *theta, float *phi, const cgm_vec3 *v);
+static inline void cgm_sph_to_uvec(cgm_vec3 *v, float theta, float phi);
+
+#include "cgmvec3.inl"
+#include "cgmvec4.inl"
+#include "cgmquat.inl"
+#include "cgmmat.inl"
+#include "cgmray.inl"
+#include "cgmmisc.inl"
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif /* CGMATH_H_ */
--- /dev/null
+/* gph-cmath - C graphics math library
+ * Copyright (C) 2018 John Tsiombikas <nuclear@member.fsf.org>
+ *
+ * This program is free software. Feel free to use, modify, and/or redistribute
+ * it under the terms of the MIT/X11 license. See LICENSE for details.
+ * If you intend to redistribute parts of the code without the LICENSE file
+ * replace this paragraph with the full contents of the LICENSE file.
+ */
+static inline void cgm_mcopy(float *dest, const float *src)
+{
+ memcpy(dest, src, 16 * sizeof(float));
+}
+
+static inline void cgm_mzero(float *m)
+{
+ static float z[16];
+ cgm_mcopy(m, z);
+}
+
+static inline void cgm_midentity(float *m)
+{
+ static float id[16] = {1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1};
+ cgm_mcopy(m, id);
+}
+
+static inline void cgm_mmul(float *a, const float *b)
+{
+ int i, j;
+ float res[16];
+ float *resptr = res;
+ float *arow = a;
+
+ for(i=0; i<4; i++) {
+ for(j=0; j<4; j++) {
+ *resptr++ = arow[0] * b[j] + arow[1] * b[4 + j] +
+ arow[2] * b[8 + j] + arow[3] * b[12 + j];
+ }
+ arow += 4;
+ }
+ cgm_mcopy(a, res);
+}
+
+static inline void cgm_mpremul(float *a, const float *b)
+{
+ int i, j;
+ float res[16];
+ float *resptr = res;
+ const float *brow = b;
+
+ for(i=0; i<4; i++) {
+ for(j=0; j<4; j++) {
+ *resptr++ = brow[0] * a[j] + brow[1] * a[4 + j] +
+ brow[2] * a[8 + j] + brow[3] * a[12 + j];
+ }
+ brow += 4;
+ }
+ cgm_mcopy(a, res);
+}
+
+static inline void cgm_msubmatrix(float *m, int row, int col)
+{
+ float orig[16];
+ int i, j, subi, subj;
+
+ cgm_mcopy(orig, m);
+
+ subi = 0;
+ for(i=0; i<4; i++) {
+ if(i == row) continue;
+
+ subj = 0;
+ for(j=0; j<4; j++) {
+ if(j == col) continue;
+
+ m[subi * 4 + subj++] = orig[i * 4 + j];
+ }
+ subi++;
+ }
+
+ cgm_mupper3(m);
+}
+
+static inline void cgm_mupper3(float *m)
+{
+ m[3] = m[7] = m[11] = m[12] = m[13] = m[14] = 0.0f;
+ m[15] = 1.0f;
+}
+
+static inline float cgm_msubdet(const float *m, int row, int col)
+{
+ float tmp[16];
+ float subdet00, subdet01, subdet02;
+
+ cgm_mcopy(tmp, m);
+ cgm_msubmatrix(tmp, row, col);
+
+ subdet00 = tmp[5] * tmp[10] - tmp[6] * tmp[9];
+ subdet01 = tmp[4] * tmp[10] - tmp[6] * tmp[8];
+ subdet02 = tmp[4] * tmp[9] - tmp[5] * tmp[8];
+
+ return tmp[0] * subdet00 - tmp[1] * subdet01 + tmp[2] * subdet02;
+}
+
+static inline float cgm_mcofactor(const float *m, int row, int col)
+{
+ float min = cgm_msubdet(m, row, col);
+ return (row + col) & 1 ? -min : min;
+}
+
+static inline float cgm_mdet(const float *m)
+{
+ return m[0] * cgm_msubdet(m, 0, 0) - m[1] * cgm_msubdet(m, 0, 1) +
+ m[2] * cgm_msubdet(m, 0, 2) - m[3] * cgm_msubdet(m, 0, 3);
+}
+
+static inline void cgm_mtranspose(float *m)
+{
+ int i, j;
+ for(i=0; i<4; i++) {
+ for(j=0; j<i; j++) {
+ int a = i * 4 + j;
+ int b = j * 4 + i;
+ float tmp = m[a];
+ m[a] = m[b];
+ m[b] = tmp;
+ }
+ }
+}
+
+static inline void cgm_mcofmatrix(float *m)
+{
+ float tmp[16];
+ int i, j;
+
+ cgm_mcopy(tmp, m);
+
+ for(i=0; i<4; i++) {
+ for(j=0; j<4; j++) {
+ m[i * 4 + j] = cgm_mcofactor(tmp, i, j);
+ }
+ }
+}
+
+static inline int cgm_minverse(float *m)
+{
+ int i, j;
+ float tmp[16];
+ float inv_det;
+ float det = cgm_mdet(m);
+ if(det == 0.0f) return -1;
+ inv_det = 1.0f / det;
+
+ cgm_mcopy(tmp, m);
+
+ for(i=0; i<4; i++) {
+ for(j=0; j<4; j++) {
+ m[i * 4 + j] = cgm_mcofactor(tmp, j, i) * inv_det; /* transposed */
+ }
+ }
+ return 0;
+}
+
+static inline void cgm_mtranslation(float *m, float x, float y, float z)
+{
+ cgm_midentity(m);
+ m[12] = x;
+ m[13] = y;
+ m[14] = z;
+}
+
+static inline void cgm_mscaling(float *m, float sx, float sy, float sz)
+{
+ cgm_mzero(m);
+ m[0] = sx;
+ m[5] = sy;
+ m[10] = sz;
+ m[15] = 1.0f;
+}
+
+static inline void cgm_mrotation_x(float *m, float angle)
+{
+ float sa = sin(angle);
+ float ca = cos(angle);
+
+ cgm_midentity(m);
+ m[5] = ca;
+ m[6] = sa;
+ m[9] = -sa;
+ m[10] = ca;
+}
+
+static inline void cgm_mrotation_y(float *m, float angle)
+{
+ float sa = sin(angle);
+ float ca = cos(angle);
+
+ cgm_midentity(m);
+ m[0] = ca;
+ m[2] = -sa;
+ m[8] = sa;
+ m[10] = ca;
+}
+
+static inline void cgm_mrotation_z(float *m, float angle)
+{
+ float sa = sin(angle);
+ float ca = cos(angle);
+
+ cgm_midentity(m);
+ m[0] = ca;
+ m[1] = sa;
+ m[4] = -sa;
+ m[5] = ca;
+}
+
+static inline void cgm_mrotation_axis(float *m, int idx, float angle)
+{
+ switch(idx) {
+ case 0:
+ cgm_mrotation_x(m, angle);
+ break;
+ case 1:
+ cgm_mrotation_y(m, angle);
+ break;
+ case 2:
+ cgm_mrotation_z(m, angle);
+ break;
+ }
+}
+
+static inline void cgm_mrotation(float *m, float angle, float x, float y, float z)
+{
+ float sa = sin(angle);
+ float ca = cos(angle);
+ float invca = 1.0f - ca;
+ float xsq = x * x;
+ float ysq = y * y;
+ float zsq = z * z;
+
+ cgm_mzero(m);
+ m[15] = 1.0f;
+
+ m[0] = xsq + (1.0f - xsq) * ca;
+ m[4] = x * y * invca - z * sa;
+ m[8] = x * z * invca + y * sa;
+
+ m[1] = x * y * invca + z * sa;
+ m[5] = ysq + (1.0f - ysq) * ca;
+ m[9] = y * z * invca - x * sa;
+
+ m[2] = x * z * invca - y * sa;
+ m[6] = y * z * invca + x * sa;
+ m[10] = zsq + (1.0f - zsq) * ca;
+}
+
+static inline void cgm_mrotation_euler(float *m, float a, float b, float c, int mode)
+{
+ /* this array must match the EulerMode enum */
+ static const int axis[][3] = {
+ {0, 1, 2}, {0, 2, 1},
+ {1, 0, 2}, {1, 2, 0},
+ {2, 0, 1}, {2, 1, 0},
+ {2, 0, 2}, {2, 1, 2},
+ {1, 0, 1}, {1, 2, 1},
+ {0, 1, 0}, {0, 2, 0}
+ };
+
+ float ma[16], mb[16];
+ cgm_mrotation_axis(ma, axis[mode][0], a);
+ cgm_mrotation_axis(mb, axis[mode][1], b);
+ cgm_mrotation_axis(m, axis[mode][2], c);
+ cgm_mmul(m, mb);
+ cgm_mmul(m, ma);
+}
+
+static inline void cgm_mrotation_quat(float *m, const cgm_quat *q)
+{
+ float xsq2 = 2.0f * q->x * q->x;
+ float ysq2 = 2.0f * q->y * q->y;
+ float zsq2 = 2.0f * q->z * q->z;
+ float sx = 1.0f - ysq2 - zsq2;
+ float sy = 1.0f - xsq2 - zsq2;
+ float sz = 1.0f - xsq2 - ysq2;
+
+ m[3] = m[7] = m[11] = m[12] = m[13] = m[14] = 0.0f;
+ m[15] = 1.0f;
+
+ m[0] = sx;
+ m[1] = 2.0f * q->x * q->y + 2.0f * q->w * q->z;
+ m[2] = 2.0f * q->z * q->x - 2.0f * q->w * q->y;
+ m[4] = 2.0f * q->x * q->y - 2.0f * q->w * q->z;
+ m[5] = sy;
+ m[6] = 2.0f * q->y * q->z + 2.0f * q->w * q->x;
+ m[8] = 2.0f * q->z * q->x + 2.0f * q->w * q->y;
+ m[9] = 2.0f * q->y * q->z - 2.0f * q->w * q->x;
+ m[10] = sz;
+}
+
+static inline void cgm_mtranslate(float *m, float x, float y, float z)
+{
+ float tm[16];
+ cgm_mtranslation(tm, x, y, z);
+ cgm_mmul(m, tm);
+}
+
+static inline void cgm_mscale(float *m, float sx, float sy, float sz)
+{
+ float sm[16];
+ cgm_mscaling(sm, sx, sy, sz);
+ cgm_mmul(m, sm);
+}
+
+static inline void cgm_mrotate_x(float *m, float angle)
+{
+ float rm[16];
+ cgm_mrotation_x(rm, angle);
+ cgm_mmul(m, rm);
+}
+
+static inline void cgm_mrotate_y(float *m, float angle)
+{
+ float rm[16];
+ cgm_mrotation_y(rm, angle);
+ cgm_mmul(m, rm);
+}
+
+static inline void cgm_mrotate_z(float *m, float angle)
+{
+ float rm[16];
+ cgm_mrotation_z(rm, angle);
+ cgm_mmul(m, rm);
+}
+
+static inline void cgm_mrotate_axis(float *m, int idx, float angle)
+{
+ float rm[16];
+ cgm_mrotation_axis(rm, idx, angle);
+ cgm_mmul(m, rm);
+}
+
+static inline void cgm_mrotate(float *m, float angle, float x, float y, float z)
+{
+ float rm[16];
+ cgm_mrotation(rm, angle, x, y, z);
+ cgm_mmul(m, rm);
+}
+
+static inline void cgm_mrotate_euler(float *m, float a, float b, float c, int mode)
+{
+ float rm[16];
+ cgm_mrotation_euler(rm, a, b, c, mode);
+ cgm_mmul(m, rm);
+}
+
+static inline void cgm_mrotate_quat(float *m, const cgm_quat *q)
+{
+ float rm[16];
+ cgm_mrotation_quat(rm, q);
+ cgm_mmul(m, rm);
+}
+
+
+static inline void cgm_mpretranslate(float *m, float x, float y, float z)
+{
+ float tm[16];
+ cgm_mtranslation(tm, x, y, z);
+ cgm_mpremul(m, tm);
+}
+
+static inline void cgm_mprescale(float *m, float sx, float sy, float sz)
+{
+ float sm[16];
+ cgm_mscaling(sm, sx, sy, sz);
+ cgm_mpremul(m, sm);
+}
+
+static inline void cgm_mprerotate_x(float *m, float angle)
+{
+ float rm[16];
+ cgm_mrotation_x(rm, angle);
+ cgm_mpremul(m, rm);
+}
+
+static inline void cgm_mprerotate_y(float *m, float angle)
+{
+ float rm[16];
+ cgm_mrotation_y(rm, angle);
+ cgm_mpremul(m, rm);
+}
+
+static inline void cgm_mprerotate_z(float *m, float angle)
+{
+ float rm[16];
+ cgm_mrotation_z(rm, angle);
+ cgm_mpremul(m, rm);
+}
+
+static inline void cgm_mprerotate_axis(float *m, int idx, float angle)
+{
+ float rm[16];
+ cgm_mrotation_axis(rm, idx, angle);
+ cgm_mpremul(m, rm);
+}
+
+static inline void cgm_mprerotate(float *m, float angle, float x, float y, float z)
+{
+ float rm[16];
+ cgm_mrotation(rm, angle, x, y, z);
+ cgm_mpremul(m, rm);
+}
+
+static inline void cgm_mprerotate_euler(float *m, float a, float b, float c, int mode)
+{
+ float rm[16];
+ cgm_mrotation_euler(rm, a, b, c, mode);
+ cgm_mpremul(m, rm);
+}
+
+static inline void cgm_mprerotate_quat(float *m, const cgm_quat *q)
+{
+ float rm[16];
+ cgm_mrotation_quat(rm, q);
+ cgm_mpremul(m, rm);
+}
+
+
+static inline void cgm_mget_translation(const float *m, cgm_vec3 *res)
+{
+ res->x = m[12];
+ res->y = m[13];
+ res->z = m[14];
+}
+
+/* Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes
+ * article "Quaternion Calculus and Fast Animation".
+ * adapted from: http://www.geometrictools.com/LibMathematics/Algebra/Wm5Quaternion.inl
+ */
+static inline void cgm_mget_rotation(const float *m, cgm_quat *res)
+{
+ static const int next[3] = {1, 2, 0};
+ float quat[4];
+ int i, j, k;
+
+ float trace = m[0] + m[5] + m[10];
+ float root;
+
+ if(trace > 0.0f) {
+ /* |w| > 1/2 */
+ root = sqrt(trace + 1.0f); /* 2w */
+ res->w = 0.5f * root;
+ root = 0.5f / root; /* 1 / 4w */
+ res->x = (m[6] - m[9]) * root;
+ res->y = (m[8] - m[2]) * root;
+ res->z = (m[1] - m[4]) * root;
+ } else {
+ /* |w| <= 1/2 */
+ i = 0;
+ if(m[5] > m[0]) {
+ i = 1;
+ }
+ if(m[10] > m[i * 4 + i]) {
+ i = 2;
+ }
+ j = next[i];
+ k = next[j];
+
+ root = sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0f);
+ quat[i + 1] = 0.5f * root;
+ root = 0.5f / root;
+ quat[0] = (m[j + 4 + k] - m[k * 4 + j]) * root;
+ quat[j + 1] = (m[i * 4 + j] - m[j * 4 + i]) * root;
+ quat[k + 1] = (m[i * 4 + k] - m[k * 4 + i]) * root;
+ res->w = quat[0];
+ res->x = quat[1];
+ res->y = quat[2];
+ res->z = quat[3];
+ }
+}
+
+static inline void cgm_mget_scaling(const float *m, cgm_vec3 *res)
+{
+ res->x = sqrt(m[0] * m[0] + m[4] * m[4] + m[8] * m[8]);
+ res->y = sqrt(m[1] * m[1] + m[5] * m[5] + m[9] * m[9]);
+ res->z = sqrt(m[2] * m[2] + m[6] * m[6] + m[10] * m[10]);
+}
+
+static inline void cgm_mget_frustum_plane(const float *m, int p, cgm_vec4 *res)
+{
+ int row = p >> 1;
+ const float *rowptr = m + row * 4;
+
+ if((p & 1) == 0) {
+ res->x = m[12] + rowptr[0];
+ res->y = m[13] + rowptr[1];
+ res->z = m[14] + rowptr[2];
+ res->w = m[15] + rowptr[3];
+ } else {
+ res->x = m[12] - rowptr[0];
+ res->y = m[13] - rowptr[1];
+ res->z = m[14] - rowptr[2];
+ res->w = m[15] - rowptr[3];
+ }
+}
+
+static inline void cgm_mlookat(float *m, const cgm_vec3 *pos, const cgm_vec3 *targ,
+ const cgm_vec3 *up)
+{
+ float trans[16];
+ cgm_vec3 dir = *targ, right, vup;
+
+ cgm_vsub(&dir, pos);
+ cgm_vnormalize(&dir);
+ cgm_vcross(&right, &dir, up);
+ cgm_vnormalize(&right);
+ cgm_vcross(&vup, &right, &dir);
+ cgm_vnormalize(&vup);
+
+ cgm_midentity(m);
+ m[0] = right.x;
+ m[1] = right.y;
+ m[2] = right.z;
+ m[4] = vup.x;
+ m[5] = vup.y;
+ m[6] = vup.z;
+ m[8] = -dir.x;
+ m[9] = -dir.y;
+ m[10] = -dir.z;
+
+ cgm_mtranslation(trans, pos->x, pos->y, pos->z);
+ cgm_mmul(m, trans);
+}
+
+static inline void cgm_minv_lookat(float *m, const cgm_vec3 *pos, const cgm_vec3 *targ,
+ const cgm_vec3 *up)
+{
+ float rot[16];
+ cgm_vec3 dir = *targ, right, vup;
+
+ cgm_vsub(&dir, pos);
+ cgm_vnormalize(&dir);
+ cgm_vcross(&right, &dir, up);
+ cgm_vnormalize(&right);
+ cgm_vcross(&vup, &right, &dir);
+ cgm_vnormalize(&vup);
+
+ cgm_midentity(rot);
+ rot[0] = right.x;
+ rot[4] = right.y;
+ rot[8] = right.z;
+ rot[1] = vup.x;
+ rot[5] = vup.y;
+ rot[9] = vup.z;
+ rot[2] = -dir.x;
+ rot[6] = -dir.y;
+ rot[10] = -dir.z;
+
+ cgm_mtranslation(m, -pos->x, -pos->y, -pos->z);
+ cgm_mmul(m, rot);
+}
+
+static inline void cgm_mortho(float *m, float left, float right, float bot, float top,
+ float znear, float zfar)
+{
+ float dx = right - left;
+ float dy = top - bot;
+ float dz = zfar - znear;
+
+ cgm_midentity(m);
+ m[0] = 2.0f / dx;
+ m[5] = 2.0f / dy;
+ m[10] = -2.0f / dz;
+ m[12] = -(right + left) / dx;
+ m[13] = -(top + bot) / dy;
+ m[14] = -(zfar + znear) / dz;
+}
+
+static inline void cgm_mfrustum(float *m, float left, float right, float bot, float top,
+ float znear, float zfar)
+{
+ float dx = right - left;
+ float dy = top - bot;
+ float dz = zfar - znear;
+
+ cgm_mzero(m);
+ m[0] = 2.0f * znear / dx;
+ m[5] = 2.0f * znear / dy;
+ m[8] = (right + left) / dx;
+ m[9] = (top + bot) / dy;
+ m[10] = -(zfar + znear) / dz;
+ m[14] = -2.0f * zfar * znear / dz;
+ m[11] = -1.0f;
+}
+
+static inline void cgm_mperspective(float *m, float vfov, float aspect, float znear, float zfar)
+{
+ float s = 1.0f / (float)tan(vfov / 2.0f);
+ float range = znear - zfar;
+
+ cgm_mzero(m);
+ m[0] = s / aspect;
+ m[5] = s;
+ m[10] = (znear + zfar) / range;
+ m[14] = 2.0f * znear * zfar / range;
+ m[11] = -1.0f;
+}
+
+static inline void cgm_mmirror(float *m, float a, float b, float c, float d)
+{
+ m[0] = 1.0f - 2.0f * a * a;
+ m[5] = 1.0f - 2.0f * b * b;
+ m[10] = 1.0f - 2.0f * c * c;
+ m[15] = 1.0f;
+
+ m[1] = m[4] = -2.0f * a * b;
+ m[2] = m[8] = -2.0f * a * c;
+ m[6] = m[9] = -2.0f * b * c;
+
+ m[12] = -2.0f * a * d;
+ m[13] = -2.0f * b * d;
+ m[14] = -2.0f * c * d;
+
+ m[3] = m[7] = m[11] = 0.0f;
+}
--- /dev/null
+/* gph-cmath - C graphics math library
+ * Copyright (C) 2018 John Tsiombikas <nuclear@member.fsf.org>
+ *
+ * This program is free software. Feel free to use, modify, and/or redistribute
+ * it under the terms of the MIT/X11 license. See LICENSE for details.
+ * If you intend to redistribute parts of the code without the LICENSE file
+ * replace this paragraph with the full contents of the LICENSE file.
+ */
+#include <stdlib.h>
+
+static inline float cgm_deg_to_rad(float deg)
+{
+ return M_PI * deg / 180.0f;
+}
+
+static inline float cgm_rad_to_deg(float rad)
+{
+ return 180.0f * rad / M_PI;
+}
+
+static inline float cgm_smoothstep(float a, float b, float x)
+{
+ if(x < a) return 0.0f;
+ if(x >= b) return 1.0f;
+
+ x = (x - a) / (b - a);
+ return x * x * (3.0f - 2.0f * x);
+}
+
+static inline float cgm_lerp(float a, float b, float t)
+{
+ return a + (b - a) * t;
+}
+
+static inline float cgm_logerp(float a, float b, float t)
+{
+ if(a == 0.0f) return 0.0f;
+ return a * pow(b / a, t);
+}
+
+static inline float cgm_bezier(float a, float b, float c, float d, float t)
+{
+ float omt, omt3, t3, f;
+ t3 = t * t * t;
+ omt = 1.0f - t;
+ omt3 = omt * omt * omt;
+ f = 3.0f * t * omt;
+
+ return (a * omt3) + (b * f * omt) + (c * f * t) + (d * t3);
+}
+
+static inline float cgm_bspline(float a, float b, float c, float d, float t)
+{
+ static const float mat[] = {
+ -1, 3, -3, 1,
+ 3, -6, 0, 4,
+ -3, 3, 3, 1,
+ 1, 0, 0, 0
+ };
+ cgm_vec4 tmp, qfact;
+ float tsq = t * t;
+
+ cgm_wcons(&qfact, tsq * t, tsq, t, 1.0f);
+ cgm_wcons(&tmp, a, b, c, d);
+ cgm_wmul_m4v4(&tmp, mat);
+ cgm_wscale(&tmp, 1.0f / 6.0f);
+ return cgm_wdot(&tmp, &qfact);
+}
+
+static inline float cgm_spline(float a, float b, float c, float d, float t)
+{
+ static const float mat[] = {
+ -1, 2, -1, 0,
+ 3, -5, 0, 2,
+ -3, 4, 1, 0,
+ 1, -1, 0, 0
+ };
+ cgm_vec4 tmp, qfact;
+ float tsq = t * t;
+
+ cgm_wcons(&qfact, tsq * t, tsq, t, 1.0f);
+ cgm_wcons(&tmp, a, b, c, d);
+ cgm_wmul_m4v4(&tmp, mat);
+ cgm_wscale(&tmp, 1.0f / 6.0f);
+ return cgm_wdot(&tmp, &qfact);
+}
+
+static inline void cgm_discrand(cgm_vec3 *pt, float rad)
+{
+ float theta = 2.0f * M_PI * (float)rand() / RAND_MAX;
+ float r = sqrt((float)rand() / RAND_MAX) * rad;
+ pt->x = cos(theta) * r;
+ pt->y = sin(theta) * r;
+ pt->z = 0.0f;
+}
+
+static inline void cgm_sphrand(cgm_vec3 *pt, float rad)
+{
+ float u, v, theta, phi;
+
+ u = (float)rand() / RAND_MAX;
+ v = (float)rand() / RAND_MAX;
+
+ theta = 2.0f * M_PI * u;
+ phi = acos(2.0f * v - 1.0f);
+
+ pt->x = cos(theta) * sin(phi) * rad;
+ pt->y = sin(theta) * sin(phi) * rad;
+ pt->z = cos(phi) * rad;
+}
+
+static inline void cgm_unproject(cgm_vec3 *res, const cgm_vec3 *norm_scrpos,
+ const float *inv_viewproj)
+{
+ cgm_vec4 pos;
+
+ pos.x = 2.0f * norm_scrpos->x - 1.0f;
+ pos.y = 2.0f * norm_scrpos->y - 1.0f;
+ pos.z = 2.0f * norm_scrpos->z - 1.0f;
+ pos.w = 1.0f;
+
+ cgm_wmul_m4v4(&pos, inv_viewproj);
+
+ res->x = pos.x / pos.w;
+ res->y = pos.y / pos.w;
+ res->z = pos.z / pos.w;
+}
+
+static inline void cgm_glu_unproject(float winx, float winy, float winz,
+ const float *view, const float *proj, const int *vp,
+ float *objx, float *objy, float *objz)
+{
+ cgm_vec3 npos, res;
+ float inv_pv[16];
+
+ cgm_mcopy(inv_pv, proj);
+ cgm_mmul(inv_pv, view);
+
+ npos.x = (winx - vp[0]) / vp[2];
+ npos.y = (winy - vp[1]) / vp[4];
+ npos.z = winz;
+
+ cgm_unproject(&res, &npos, inv_pv);
+
+ *objx = res.x;
+ *objy = res.y;
+ *objz = res.z;
+}
+
+static inline void cgm_pick_ray(cgm_ray *ray, float nx, float ny,
+ const float *viewmat, const float *projmat)
+{
+ cgm_vec3 npos, farpt;
+ float inv_pv[16];
+
+ cgm_mcopy(inv_pv, projmat);
+ cgm_mmul(inv_pv, viewmat);
+
+ cgm_vcons(&npos, nx, ny, 0.0f);
+ cgm_unproject(&ray->origin, &npos, inv_pv);
+ npos.z = 1.0f;
+ cgm_unproject(&farpt, &npos, inv_pv);
+
+ ray->dir.x = farpt.x - ray->origin.x;
+ ray->dir.y = farpt.y - ray->origin.y;
+ ray->dir.z = farpt.z - ray->origin.z;
+}
+
+static inline void cgm_raypos(cgm_vec3 *p, const cgm_ray *ray, float t)
+{
+ p->x = ray->origin.x + ray->dir.x * t;
+ p->y = ray->origin.y + ray->dir.y * t;
+ p->z = ray->origin.z + ray->dir.z * t;
+}
+
+static inline void cgm_bary(cgm_vec3 *bary, const cgm_vec3 *a,
+ const cgm_vec3 *b, const cgm_vec3 *c, const cgm_vec3 *pt)
+{
+ float d00, d01, d11, d20, d21, denom;
+ cgm_vec3 v0 = *b, v1 = *c, v2 = *pt;
+
+ cgm_vsub(&v0, a);
+ cgm_vsub(&v1, a);
+ cgm_vsub(&v2, a);
+
+ d00 = cgm_vdot(&v0, &v0);
+ d01 = cgm_vdot(&v0, &v1);
+ d11 = cgm_vdot(&v1, &v1);
+ d20 = cgm_vdot(&v2, &v0);
+ d21 = cgm_vdot(&v2, &v1);
+ denom = d00 * d11 - d01 * d01;
+
+ bary->y = (d11 * d20 - d01 * d21) / denom;
+ bary->z = (d00 * d21 - d01 * d20) / denom;
+ bary->x = 1.0f - bary->y - bary->z;
+}
+
+static inline void cgm_uvec_to_sph(float *theta, float *phi, const cgm_vec3 *v)
+{
+ *theta = atan2(v->z, v->x);
+ *phi = acos(v->y);
+}
+
+static inline void cgm_sph_to_uvec(cgm_vec3 *v, float theta, float phi)
+{
+ v->x = sin(theta) * cos(phi);
+ v->y = sin(phi);
+ v->z = cos(theta) * cos(phi);
+}
--- /dev/null
+/* gph-cmath - C graphics math library
+ * Copyright (C) 2018 John Tsiombikas <nuclear@member.fsf.org>
+ *
+ * This program is free software. Feel free to use, modify, and/or redistribute
+ * it under the terms of the MIT/X11 license. See LICENSE for details.
+ * If you intend to redistribute parts of the code without the LICENSE file
+ * replace this paragraph with the full contents of the LICENSE file.
+ */
+static inline void cgm_qcons(cgm_quat *q, float x, float y, float z, float w)
+{
+ q->x = x;
+ q->y = y;
+ q->z = z;
+ q->w = w;
+}
+
+
+static inline void cgm_qneg(cgm_quat *q)
+{
+ q->x = -q->x;
+ q->y = -q->y;
+ q->z = -q->z;
+ q->w = -q->w;
+}
+
+static inline void cgm_qadd(cgm_quat *a, const cgm_quat *b)
+{
+ a->x += b->x;
+ a->y += b->y;
+ a->z += b->z;
+ a->w += b->w;
+}
+
+static inline void cgm_qsub(cgm_quat *a, const cgm_quat *b)
+{
+ a->x -= b->x;
+ a->y -= b->y;
+ a->z -= b->z;
+ a->w -= b->w;
+}
+
+static inline void cgm_qmul(cgm_quat *a, const cgm_quat *b)
+{
+ float x, y, z, dot;
+ cgm_vec3 cross;
+
+ dot = a->x * b->x + a->y * b->y + a->z * b->z;
+ cgm_vcross(&cross, (cgm_vec3*)a, (cgm_vec3*)b);
+
+ x = a->w * b->x + b->w * a->x + cross.x;
+ y = a->w * b->y + b->w * a->y + cross.y;
+ z = a->w * b->z + b->w * a->z + cross.z;
+ a->w = a->w * b->w - dot;
+ a->x = x;
+ a->y = y;
+ a->z = z;
+}
+
+static inline float cgm_qlength(const cgm_quat *q)
+{
+ return sqrt(q->x * q->x + q->y * q->y + q->z * q->z + q->w * q->w);
+}
+
+static inline float cgm_qlength_sq(const cgm_quat *q)
+{
+ return q->x * q->x + q->y * q->y + q->z * q->z + q->w * q->w;
+}
+
+static inline void cgm_qnormalize(cgm_quat *q)
+{
+ float len = cgm_qlength(q);
+ if(len != 0.0f) {
+ float s = 1.0f / len;
+ q->x *= s;
+ q->y *= s;
+ q->z *= s;
+ q->w *= s;
+ }
+}
+
+static inline void cgm_qconjugate(cgm_quat *q)
+{
+ q->x = -q->x;
+ q->y = -q->y;
+ q->z = -q->z;
+}
+
+static inline void cgm_qinvert(cgm_quat *q)
+{
+ float len_sq = cgm_qlength_sq(q);
+ cgm_qconjugate(q);
+ if(len_sq != 0.0f) {
+ float s = 1.0f / len_sq;
+ q->x *= s;
+ q->y *= s;
+ q->z *= s;
+ q->w *= s;
+ }
+}
+
+static inline void cgm_qrotation(cgm_quat *q, float angle, float x, float y, float z)
+{
+ float hangle = angle * 0.5f;
+ float sin_ha = sin(hangle);
+ q->w = cos(hangle);
+ q->x = x * sin_ha;
+ q->y = y * sin_ha;
+ q->z = z * sin_ha;
+}
+
+static inline void cgm_qrotate(cgm_quat *q, float angle, float x, float y, float z)
+{
+ cgm_quat qrot;
+ cgm_qrotation(&qrot, angle, x, y, z);
+ cgm_qmul(q, &qrot);
+}
+
+static inline void cgm_qslerp(cgm_quat *res, const cgm_quat *quat1, const cgm_quat *q2, float t)
+{
+ float angle, dot, a, b, sin_angle;
+ cgm_quat q1 = *quat1;
+
+ dot = quat1->x * q2->x + quat1->y * q2->y + quat1->z * q2->z + quat1->w * q2->w;
+ if(dot < 0.0f) {
+ /* make sure we inteprolate across the shortest arc */
+ cgm_qneg(&q1);
+ dot = -dot;
+ }
+
+ /* clamp dot to [-1, 1] in order to avoid domain errors in acos due to
+ * floating point imprecisions
+ */
+ if(dot < -1.0f) dot = -1.0f;
+ if(dot > 1.0f) dot = 1.0f;
+ angle = acos(dot);
+
+ sin_angle = sin(angle);
+ if(sin_angle == 0.0f) {
+ /* use linear interpolation to avoid div/zero */
+ a = 1.0f;
+ b = t;
+ } else {
+ a = sin((1.0f - t) * angle) / sin_angle;
+ b = sin(t * angle) / sin_angle;
+ }
+
+ res->x = q1.x * a + q2->x * b;
+ res->y = q1.y * a + q2->y * b;
+ res->z = q1.z * a + q2->z * b;
+ res->w = q1.w * a + q2->w * b;
+}
+
+static inline void cgm_qlerp(cgm_quat *res, const cgm_quat *a, const cgm_quat *b, float t)
+{
+ res->x = a->x + (b->x - a->x) * t;
+ res->y = a->y + (b->y - a->y) * t;
+ res->z = a->z + (b->z - a->z) * t;
+ res->w = a->w + (b->w - a->w) * t;
+}
--- /dev/null
+/* gph-cmath - C graphics math library
+ * Copyright (C) 2018 John Tsiombikas <nuclear@member.fsf.org>
+ *
+ * This program is free software. Feel free to use, modify, and/or redistribute
+ * it under the terms of the MIT/X11 license. See LICENSE for details.
+ * If you intend to redistribute parts of the code without the LICENSE file
+ * replace this paragraph with the full contents of the LICENSE file.
+ */
+static inline void cgm_rcons(cgm_ray *r, float x, float y, float z, float dx, float dy, float dz)
+{
+ r->origin.x = x;
+ r->origin.y = y;
+ r->origin.z = z;
+ r->dir.x = dx;
+ r->dir.y = dy;
+ r->dir.z = dz;
+}
+
+static inline void cgm_rmul_mr(cgm_ray *ray, const float *m)
+{
+ cgm_vmul_m4v3(&ray->origin, m);
+ cgm_vmul_m3v3(&ray->dir, m);
+}
+
+static inline void cgm_rmul_rm(cgm_ray *ray, const float *m)
+{
+ cgm_vmul_v3m4(&ray->origin, m);
+ cgm_vmul_v3m3(&ray->dir, m);
+}
+
+static inline void cgm_rreflect(cgm_ray *ray, const cgm_vec3 *n)
+{
+ cgm_vreflect(&ray->dir, n);
+}
+
+static inline void cgm_rrefract(cgm_ray *ray, const cgm_vec3 *n, float ior)
+{
+ cgm_vrefract(&ray->dir, n, ior);
+}
--- /dev/null
+/* gph-cmath - C graphics math library
+ * Copyright (C) 2018 John Tsiombikas <nuclear@member.fsf.org>
+ *
+ * This program is free software. Feel free to use, modify, and/or redistribute
+ * it under the terms of the MIT/X11 license. See LICENSE for details.
+ * If you intend to redistribute parts of the code without the LICENSE file
+ * replace this paragraph with the full contents of the LICENSE file.
+ */
+static inline void cgm_vcons(cgm_vec3 *v, float x, float y, float z)
+{
+ v->x = x;
+ v->y = y;
+ v->z = z;
+}
+
+static inline void cgm_vadd(cgm_vec3 *a, const cgm_vec3 *b)
+{
+ a->x += b->x;
+ a->y += b->y;
+ a->z += b->z;
+}
+
+static inline void cgm_vadd_scaled(cgm_vec3 *a, const cgm_vec3 *b, float s)
+{
+ a->x += b->x * s;
+ a->y += b->y * s;
+ a->z += b->z * s;
+}
+
+static inline void cgm_vsub(cgm_vec3 *a, const cgm_vec3 *b)
+{
+ a->x -= b->x;
+ a->y -= b->y;
+ a->z -= b->z;
+}
+
+static inline void cgm_vsub_scaled(cgm_vec3 *a, const cgm_vec3 *b, float s)
+{
+ a->x -= b->x * s;
+ a->y -= b->y * s;
+ a->z -= b->z * s;
+}
+
+static inline void cgm_vmul(cgm_vec3 *a, const cgm_vec3 *b)
+{
+ a->x *= b->x;
+ a->y *= b->y;
+ a->z *= b->z;
+}
+
+static inline void cgm_vscale(cgm_vec3 *v, float s)
+{
+ v->x *= s;
+ v->y *= s;
+ v->z *= s;
+}
+
+static inline void cgm_vmul_m4v3(cgm_vec3 *v, const float *m)
+{
+ float x = v->x * m[0] + v->y * m[4] + v->z * m[8] + m[12];
+ float y = v->x * m[1] + v->y * m[5] + v->z * m[9] + m[13];
+ v->z = v->x * m[2] + v->y * m[6] + v->z * m[10] + m[14];
+ v->x = x;
+ v->y = y;
+}
+
+static inline void cgm_vmul_v3m4(cgm_vec3 *v, const float *m)
+{
+ float x = v->x * m[0] + v->y * m[1] + v->z * m[2] + m[3];
+ float y = v->x * m[4] + v->y * m[5] + v->z * m[6] + m[7];
+ v->z = v->x * m[8] + v->y * m[9] + v->z * m[10] + m[11];
+ v->x = x;
+ v->y = y;
+}
+
+static inline void cgm_vmul_m3v3(cgm_vec3 *v, const float *m)
+{
+ float x = v->x * m[0] + v->y * m[4] + v->z * m[8];
+ float y = v->x * m[1] + v->y * m[5] + v->z * m[9];
+ v->z = v->x * m[2] + v->y * m[6] + v->z * m[10];
+ v->x = x;
+ v->y = y;
+}
+
+static inline void cgm_vmul_v3m3(cgm_vec3 *v, const float *m)
+{
+ float x = v->x * m[0] + v->y * m[1] + v->z * m[2];
+ float y = v->x * m[4] + v->y * m[5] + v->z * m[6];
+ v->z = v->x * m[8] + v->y * m[9] + v->z * m[10];
+ v->x = x;
+ v->y = y;
+}
+
+static inline float cgm_vdot(const cgm_vec3 *a, const cgm_vec3 *b)
+{
+ return a->x * b->x + a->y * b->y + a->z * b->z;
+}
+
+static inline void cgm_vcross(cgm_vec3 *res, const cgm_vec3 *a, const cgm_vec3 *b)
+{
+ res->x = a->y * b->z - a->z * b->y;
+ res->y = a->z * b->x - a->x * b->z;
+ res->z = a->x * b->y - a->y * b->x;
+}
+
+static inline float cgm_vlength(const cgm_vec3 *v)
+{
+ return sqrt(v->x * v->x + v->y * v->y + v->z * v->z);
+}
+
+static inline float cgm_vlength_sq(const cgm_vec3 *v)
+{
+ return v->x * v->x + v->y * v->y + v->z * v->z;
+}
+
+static inline float cgm_vdist(const cgm_vec3 *a, const cgm_vec3 *b)
+{
+ float dx = a->x - b->x;
+ float dy = a->y - b->y;
+ float dz = a->z - b->z;
+ return sqrt(dx * dx + dy * dy + dz * dz);
+}
+
+static inline float cgm_vdist_sq(const cgm_vec3 *a, const cgm_vec3 *b)
+{
+ float dx = a->x - b->x;
+ float dy = a->y - b->y;
+ float dz = a->z - b->z;
+ return dx * dx + dy * dy + dz * dz;
+}
+
+static inline void cgm_vnormalize(cgm_vec3 *v)
+{
+ float len = cgm_vlength(v);
+ if(len != 0.0f) {
+ float s = 1.0f / len;
+ v->x *= s;
+ v->y *= s;
+ v->z *= s;
+ }
+}
+
+static inline void cgm_vreflect(cgm_vec3 *v, const cgm_vec3 *n)
+{
+ float ndotv2 = cgm_vdot(v, n) * 2.0f;
+ v->x -= n->x * ndotv2;
+ v->y -= n->y * ndotv2;
+ v->z -= n->z * ndotv2;
+}
+
+static inline void cgm_vrefract(cgm_vec3 *v, const cgm_vec3 *n, float ior)
+{
+ float ndotv = cgm_vdot(v, n);
+ float k = 1.0f - ior * ior * (1.0f - ndotv * ndotv);
+ if(k < 0.0f) {
+ cgm_vreflect(v, n); /* TIR */
+ } else {
+ float sqrt_k = sqrt(k);
+ v->x = ior * v->x - (ior * ndotv + sqrt_k) * n->x;
+ v->y = ior * v->y - (ior * ndotv + sqrt_k) * n->y;
+ v->z = ior * v->z - (ior * ndotv + sqrt_k) * n->z;
+ }
+}
+
+static inline void cgm_vrotate_quat(cgm_vec3 *v, const cgm_quat *q)
+{
+ cgm_quat vq, inv_q = *q, tmp_q = *q;
+
+ cgm_qcons(&vq, v->x, v->y, v->z, 0.0f);
+ cgm_qinvert(&inv_q);
+ cgm_qmul(&tmp_q, &vq);
+ cgm_qmul(&tmp_q, &inv_q);
+ cgm_vcons(v, tmp_q.x, tmp_q.y, tmp_q.z);
+}
+
+static inline void cgm_vrotate_axis(cgm_vec3 *v, int axis, float angle)
+{
+ float m[16];
+ cgm_mrotation_axis(m, axis, angle);
+ cgm_vmul_m3v3(v, m);
+}
+
+static inline void cgm_vrotate(cgm_vec3 *v, float angle, float x, float y, float z)
+{
+ float m[16];
+ cgm_mrotation(m, angle, x, y, z);
+ cgm_vmul_m3v3(v, m);
+}
+
+static inline void cgm_vrotate_euler(cgm_vec3 *v, float a, float b, float c, enum cgm_euler_mode mode)
+{
+ float m[16];
+ cgm_mrotation_euler(m, a, b, c, mode);
+ cgm_vmul_m3v3(v, m);
+}
+
+static inline void cgm_vlerp(cgm_vec3 *res, const cgm_vec3 *a, const cgm_vec3 *b, float t)
+{
+ res->x = a->x + (b->x - a->x) * t;
+ res->y = a->y + (b->y - a->y) * t;
+ res->z = a->z + (b->z - a->z) * t;
+}
--- /dev/null
+/* gph-cmath - C graphics math library
+ * Copyright (C) 2018 John Tsiombikas <nuclear@member.fsf.org>
+ *
+ * This program is free software. Feel free to use, modify, and/or redistribute
+ * it under the terms of the MIT/X11 license. See LICENSE for details.
+ * If you intend to redistribute parts of the code without the LICENSE file
+ * replace this paragraph with the full contents of the LICENSE file.
+ */
+static inline void cgm_wcons(cgm_vec4 *v, float x, float y, float z, float w)
+{
+ v->x = x;
+ v->y = y;
+ v->z = z;
+ v->w = w;
+}
+
+static inline void cgm_wadd(cgm_vec4 *a, const cgm_vec4 *b)
+{
+ a->x += b->x;
+ a->y += b->y;
+ a->z += b->z;
+ a->w += b->w;
+}
+
+static inline void cgm_wsub(cgm_vec4 *a, const cgm_vec4 *b)
+{
+ a->x -= b->x;
+ a->y -= b->y;
+ a->z -= b->z;
+ a->w -= b->w;
+}
+
+static inline void cgm_wmul(cgm_vec4 *a, const cgm_vec4 *b)
+{
+ a->x *= b->x;
+ a->y *= b->y;
+ a->z *= b->z;
+ a->w *= b->w;
+}
+
+static inline void cgm_wscale(cgm_vec4 *v, float s)
+{
+ v->x *= s;
+ v->y *= s;
+ v->z *= s;
+ v->w *= s;
+}
+
+static inline void cgm_wmul_m4v4(cgm_vec4 *v, const float *m)
+{
+ float x = v->x * m[0] + v->y * m[4] + v->z * m[8] + v->w * m[12];
+ float y = v->x * m[1] + v->y * m[5] + v->z * m[9] + v->w * m[13];
+ float z = v->x * m[2] + v->y * m[6] + v->z * m[10] + v->w * m[14];
+ v->w = v->x * m[3] + v->y * m[7] + v->z * m[11] + v->w * m[15];
+ v->x = x;
+ v->y = y;
+ v->z = z;
+}
+
+static inline void cgm_wmul_v4m4(cgm_vec4 *v, const float *m)
+{
+ float x = v->x * m[0] + v->y * m[1] + v->z * m[2] + v->w * m[3];
+ float y = v->x * m[4] + v->y * m[5] + v->z * m[6] + v->w * m[7];
+ float z = v->x * m[8] + v->y * m[9] + v->z * m[10] + v->w * m[11];
+ v->w = v->x * m[12] + v->y * m[13] + v->z * m[14] + v->w * m[15];
+ v->x = x;
+ v->y = y;
+ v->z = z;
+}
+
+static inline void cgm_wmul_m34v4(cgm_vec4 *v, const float *m)
+{
+ float x = v->x * m[0] + v->y * m[4] + v->z * m[8] + v->w * m[12];
+ float y = v->x * m[1] + v->y * m[5] + v->z * m[9] + v->w * m[13];
+ v->z = v->x * m[2] + v->y * m[6] + v->z * m[10] + v->w * m[14];
+ v->x = x;
+ v->y = y;
+}
+
+static inline void cgm_wmul_v4m43(cgm_vec4 *v, const float *m)
+{
+ float x = v->x * m[0] + v->y * m[1] + v->z * m[2] + v->w * m[3];
+ float y = v->x * m[4] + v->y * m[5] + v->z * m[6] + v->w * m[7];
+ v->z = v->x * m[8] + v->y * m[9] + v->z * m[10] + v->w * m[11];
+ v->x = x;
+ v->y = y;
+}
+
+static inline void cgm_wmul_m3v4(cgm_vec4 *v, const float *m)
+{
+ float x = v->x * m[0] + v->y * m[4] + v->z * m[8];
+ float y = v->x * m[1] + v->y * m[5] + v->z * m[9];
+ v->z = v->x * m[2] + v->y * m[6] + v->z * m[10];
+ v->x = x;
+ v->y = y;
+}
+
+static inline void cgm_wmul_v4m3(cgm_vec4 *v, const float *m)
+{
+ float x = v->x * m[0] + v->y * m[1] + v->z * m[2];
+ float y = v->x * m[4] + v->y * m[5] + v->z * m[6];
+ v->z = v->x * m[8] + v->y * m[9] + v->z * m[10];
+ v->x = x;
+ v->y = y;
+}
+
+static inline float cgm_wdot(const cgm_vec4 *a, const cgm_vec4 *b)
+{
+ return a->x * b->x + a->y * b->y + a->z * b->z + a->w * b->w;
+}
+
+static inline float cgm_wlength(const cgm_vec4 *v)
+{
+ return sqrt(v->x * v->x + v->y * v->y + v->z * v->z + v->w * v->w);
+}
+
+static inline float cgm_wlength_sq(const cgm_vec4 *v)
+{
+ return v->x * v->x + v->y * v->y + v->z * v->z + v->w * v->w;
+}
+
+static inline float cgm_wdist(const cgm_vec4 *a, const cgm_vec4 *b)
+{
+ float dx = a->x - b->x;
+ float dy = a->y - b->y;
+ float dz = a->z - b->z;
+ float dw = a->w - b->w;
+ return sqrt(dx * dx + dy * dy + dz * dz + dw * dw);
+}
+
+static inline float cgm_wdist_sq(const cgm_vec4 *a, const cgm_vec4 *b)
+{
+ float dx = a->x - b->x;
+ float dy = a->y - b->y;
+ float dz = a->z - b->z;
+ float dw = a->w - b->w;
+ return dx * dx + dy * dy + dz * dz + dw * dw;
+}
+
+static inline void cgm_wnormalize(cgm_vec4 *v)
+{
+ float len = cgm_wlength(v);
+ if(len != 0.0f) {
+ float s = 1.0f / len;
+ v->x *= s;
+ v->y *= s;
+ v->z *= s;
+ v->w *= s;
+ }
+}
+
+static inline void cgm_wlerp(cgm_vec4 *res, const cgm_vec4 *a, const cgm_vec4 *b, float t)
+{
+ res->x = a->x + (b->x - a->x) * t;
+ res->y = a->y + (b->y - a->y) * t;
+ res->z = a->z + (b->z - a->z) * t;
+ res->w = a->w + (b->w - a->w) * t;
+}
--- /dev/null
+#include <stdlib.h>
+#include <string.h>
+#include "frac.h"
+#include "dynarr.h"
+
+static void destroy_cell(struct frac_cell *cell);
+
+int frac_init(struct fracture *frac)
+{
+ frac->mesh = 0;
+
+ if(!(frac->cells = dynarr_alloc(0, sizeof *frac->cells))) {
+ return -1;
+ }
+ return 0;
+}
+
+void frac_destroy(struct fracture *frac)
+{
+ int i, num;
+
+ if(!frac) return;
+
+ if(frac->cells) {
+ num = dynarr_size(frac->cells);
+ for(i=0; i<num; i++) {
+ destroy_cell(frac->cells + i);
+ }
+ dynarr_free(frac->cells);
+ }
+}
+
+static void destroy_cell(struct frac_cell *cell)
+{
+ if(!cell) return;
+
+ cmesh_free(cell->mesh);
+ dynarr_free(cell->planes);
+}
+
+void frac_mesh(struct fracture *frac, const struct cmesh *m)
+{
+ frac->mesh = (struct cmesh*)m;
+}
+
+int frac_point(struct fracture *frac, float x, float y, float z)
+{
+ struct frac_cell cell;
+ struct frac_cell *tmp;
+
+ cgm_vcons(&cell.pt, x, y, z);
+ if(!(cell.mesh = cmesh_alloc())) {
+ return -1;
+ }
+ if(!(cell.planes = dynarr_alloc(0, sizeof *cell.planes))) {
+ cmesh_free(cell.mesh);
+ return -1;
+ }
+ if(!(tmp = dynarr_push(frac->cells, &cell))) {
+ cmesh_free(cell.mesh);
+ dynarr_free(cell.planes);
+ return -1;
+ }
+ frac->cells = tmp;
+ return 0;
+}
+
+int frac_num_cells(struct fracture *frac)
+{
+ return dynarr_size(frac->cells);
+}
+
+int frac_gen_points(struct fracture *frac, int num)
+{
+ int i;
+ float x, y, z;
+ cgm_vec3 bbmin, bbmax, delta;
+
+ if(!frac || !frac->mesh) return -1;
+ if(!cmesh_poly_count(frac->mesh)) {
+ return -1;
+ }
+
+ cmesh_aabbox(frac->mesh, &bbmin, &bbmax);
+ delta = bbmax;
+ cgm_vsub(&delta, &bbmin);
+
+ for(i=0; i<num; i++) {
+ x = (float)rand() / RAND_MAX * delta.x + bbmin.x;
+ y = (float)rand() / RAND_MAX * delta.y + bbmin.y;
+ z = (float)rand() / RAND_MAX * delta.z + bbmin.z;
+
+ if(frac_point(frac, x, y, z) == -1) {
+ return -1;
+ }
+ }
+ return 0;
+}
+
+int frac_build_cells(struct fracture *frac)
+{
+ return -1;
+}
+
+int frac_build_shell(struct fracture *frac)
+{
+ return -1;
+}
+
+int frac_build_walls(struct fracture *frac)
+{
+ return -1;
+}
+
+int frac_build(struct fracture *frac)
+{
+ if(frac_build_cells(frac) == -1) {
+ return -1;
+ }
+ if(frac_build_shell(frac) == -1) {
+ return -1;
+ }
+ if(frac_build_walls(frac) == -1) {
+ return -1;
+ }
+ return 0;
+}
--- /dev/null
+#ifndef FRAC_H_
+#define FRAC_H_
+
+#include "cmesh.h"
+#include "cgmath/cgmath.h"
+
+struct frac_cell {
+ cgm_vec3 pt;
+ struct cmesh *mesh;
+ cgm_vec4 *planes; /* dynarr */
+};
+
+struct fracture {
+ struct cmesh *mesh; /* no ownership */
+ struct frac_cell *cells; /* dynarr */
+};
+
+int frac_init(struct fracture *frac);
+void frac_destroy(struct fracture *frac);
+
+/* fracture does not take ownership of the mesh, and does not modify it */
+void frac_mesh(struct fracture *frac, const struct cmesh *m);
+
+int frac_point(struct fracture *frac, float x, float y, float z);
+int frac_num_cells(struct fracture *frac);
+
+/* add a bunch of random points in the bounding box of the mesh */
+int frac_gen_points(struct fracture *frac, int num);
+
+/* construct the voronoi cells */
+int frac_build_cells(struct fracture *frac);
+/* generate the polygons for the outer shell of each cell */
+int frac_build_shell(struct fracture *frac);
+/* generate the polygons for the inner walls of the cells */
+int frac_build_walls(struct fracture *frac);
+
+/* perform all the steps in order */
+int frac_build(struct fracture *frac);
+
+
+#endif /* FRAC_H_ */
--- /dev/null
+#include "geom.h"
+
+float plane_dist(const struct plane *p, const cgm_vec3 *pt)
+{
+ return fabs(plane_sdist(p, pt));
+}
+
+float plane_sdist(const struct plane *p, const cgm_vec3 *pt)
+{
+ cgm_vec3 v = p->pt;
+ cgm_vsub(&v, pt);
+ return cgm_vdot(&v, &p->norm);
+}
+
+void midplane(struct plane *p, const cgm_vec3 *a, const cgm_vec3 *b)
+{
+ p->norm = *b;
+ cgm_vsub(&p->norm, a);
+ cgm_vnormalize(&p->norm);
+ p->pt.x = a->x + p->norm.x * 0.5f;
+ p->pt.y = a->y + p->norm.y * 0.5f;
+ p->pt.z = a->z + p->norm.z * 0.5f;
+}
--- /dev/null
+#ifndef GEOM_H_
+#define GEOM_H_
+
+#include "cgmath/cgmath.h"
+
+struct plane {
+ cgm_vec3 pt, norm;
+};
+
+float plane_dist(const struct plane *p, const cgm_vec3 *pt);
+float plane_sdist(const struct plane *p, const cgm_vec3 *pt);
+void midplane(struct plane *p, const cgm_vec3 *a, const cgm_vec3 *b);
+
+#endif /* GEOM_H_ */
projects / meshfrac / commitdiff