- pyapi mathutils.geometry.intersect_plane_plane

- isect_plane_plane_v3 uses better method
- minor refactor - arg name changes & some args as const.
This commit is contained in:
Campbell Barton 2011-11-20 05:56:21 +00:00
parent acf30220c9
commit e5f40a1aac
4 changed files with 206 additions and 139 deletions

@ -456,7 +456,7 @@ static void camera_to_frame_view_cb(const float co[3], void *user_data)
unsigned int i;
for (i= 0; i < 4; i++) {
float nd= -dist_to_plane_v3(co, data->frame_tx[i], data->normal_tx[i]);
float nd= dist_to_plane_v3(co, data->frame_tx[i], data->normal_tx[i]);
if (nd < data->dist_vals[i]) {
data->dist_vals[i]= nd;
}
@ -530,55 +530,49 @@ int camera_view_frame_fit_to_scene(Scene *scene, struct View3D *v3d, Object *cam
mul_v3_v3fl(plane_tx[i], data_cb.normal_tx[i], data_cb.dist_vals[i]);
}
if ( (isect_plane_plane_v3(plane_isect_1, plane_isect_1_no,
plane_tx[0], data_cb.normal_tx[0],
plane_tx[2], data_cb.normal_tx[2]) == 0) ||
(isect_plane_plane_v3(plane_isect_2, plane_isect_2_no,
plane_tx[1], data_cb.normal_tx[1],
plane_tx[3], data_cb.normal_tx[3]) == 0))
isect_plane_plane_v3(plane_isect_1, plane_isect_1_no,
plane_tx[0], data_cb.normal_tx[0],
plane_tx[2], data_cb.normal_tx[2]);
isect_plane_plane_v3(plane_isect_2, plane_isect_2_no,
plane_tx[1], data_cb.normal_tx[1],
plane_tx[3], data_cb.normal_tx[3]);
add_v3_v3v3(plane_isect_1_other, plane_isect_1, plane_isect_1_no);
add_v3_v3v3(plane_isect_2_other, plane_isect_2, plane_isect_2_no);
if (isect_line_line_v3(plane_isect_1, plane_isect_1_other,
plane_isect_2, plane_isect_2_other,
plane_isect_pt_1, plane_isect_pt_2) == 0)
{
/* this is very unlikely */
return FALSE;
}
else {
float cam_plane_no[3]= {0.0f, 0.0f, -1.0f};
float plane_isect_delta[3];
float plane_isect_delta_len;
add_v3_v3v3(plane_isect_1_other, plane_isect_1, plane_isect_1_no);
add_v3_v3v3(plane_isect_2_other, plane_isect_2, plane_isect_2_no);
mul_m3_v3(rot_obmat, cam_plane_no);
if (isect_line_line_v3(plane_isect_1, plane_isect_1_other,
plane_isect_2, plane_isect_2_other,
plane_isect_pt_1, plane_isect_pt_2) == 0)
{
return FALSE;
sub_v3_v3v3(plane_isect_delta, plane_isect_pt_2, plane_isect_pt_1);
plane_isect_delta_len= len_v3(plane_isect_delta);
if (dot_v3v3(plane_isect_delta, cam_plane_no) > 0.0f) {
copy_v3_v3(r_co, plane_isect_pt_1);
/* offset shift */
normalize_v3(plane_isect_1_no);
madd_v3_v3fl(r_co, plane_isect_1_no, shift[1] * -plane_isect_delta_len);
}
else {
float cam_plane_no[3]= {0.0f, 0.0f, -1.0f};
float plane_isect_delta[3];
float plane_isect_delta_len;
copy_v3_v3(r_co, plane_isect_pt_2);
mul_m3_v3(rot_obmat, cam_plane_no);
sub_v3_v3v3(plane_isect_delta, plane_isect_pt_2, plane_isect_pt_1);
plane_isect_delta_len= len_v3(plane_isect_delta);
if (dot_v3v3(plane_isect_delta, cam_plane_no) > 0.0f) {
copy_v3_v3(r_co, plane_isect_pt_1);
/* offset shift */
normalize_v3(plane_isect_1_no);
madd_v3_v3fl(r_co, plane_isect_1_no, shift[1] * -plane_isect_delta_len);
}
else {
copy_v3_v3(r_co, plane_isect_pt_2);
/* offset shift */
normalize_v3(plane_isect_2_no);
madd_v3_v3fl(r_co, plane_isect_2_no, shift[0] * -plane_isect_delta_len);
}
return TRUE;
/* offset shift */
normalize_v3(plane_isect_2_no);
madd_v3_v3fl(r_co, plane_isect_2_no, shift[0] * -plane_isect_delta_len);
}
return TRUE;
}
}
}

@ -60,6 +60,7 @@ float dist_to_line_v2(const float p[2], const float l1[2], const float l2[2]);
float dist_to_line_segment_v2(const float p[2], const float l1[2], const float l2[2]);
void closest_to_line_segment_v2(float closest[2], const float p[2], const float l1[2], const float l2[2]);
float dist_to_plane_normalized_v3(const float p[3], const float plane_co[3], const float plane_no_unit[3]);
float dist_to_plane_v3(const float p[3], const float plane_co[3], const float plane_no[3]);
float dist_to_line_segment_v3(const float p[3], const float l1[3], const float l2[3]);
float closest_to_line_v3(float r[3], const float p[3], const float l1[3], const float l2[3]);
@ -96,12 +97,13 @@ int isect_line_line_v3(const float v1[3], const float v2[3],
float i1[3], float i2[3]);
int isect_line_line_strict_v3(const float v1[3], const float v2[3],
const float v3[3], const float v4[3],
float vi[3], float *lambda);
float vi[3], float *r_lambda);
/*if clip is nonzero, will only return true if lambda is >= 0.0
(i.e. intersection point is along positive d)*/
int isect_ray_plane_v3(float p1[3], float d[3], float v0[3],
float v1[3], float v2[3], float *lambda, int clip);
int isect_ray_plane_v3(const float p1[3], const float d[3],
const float v0[3], const float v1[3], const float v2[3],
float *r_lambda, const int clip);
/**
* Intersect line/plane, optionally treat line as directional (like a ray) with the no_flip argument.
@ -126,19 +128,19 @@ int isect_line_plane_v3(float out[3], const float l1[3], const float l2[3],
* @param plane_b_co The point on the second plane.
* @param plane_b_no The normal of the second plane.
*/
int isect_plane_plane_v3(float r_isect_co[3], float r_isect_no[3],
const float plane_a_co[3], const float plane_a_no[3],
const float plane_b_co[3], const float plane_b_no[3]);
void isect_plane_plane_v3(float r_isect_co[3], float r_isect_no[3],
const float plane_a_co[3], const float plane_a_no[3],
const float plane_b_co[3], const float plane_b_no[3]);
/* line/ray triangle */
int isect_line_tri_v3(const float p1[3], const float p2[3],
const float v0[3], const float v1[3], const float v2[3], float *lambda, float uv[2]);
const float v0[3], const float v1[3], const float v2[3], float *r_lambda, float r_uv[2]);
int isect_ray_tri_v3(const float p1[3], const float d[3],
const float v0[3], const float v1[3], const float v2[3], float *lambda, float uv[2]);
const float v0[3], const float v1[3], const float v2[3], float *r_lambda, float r_uv[2]);
int isect_ray_tri_threshold_v3(const float p1[3], const float d[3],
const float v0[3], const float v1[3], const float v2[3], float *lambda, float uv[2], const float threshold);
const float v0[3], const float v1[3], const float v2[3], float *r_lambda, float r_uv[2], const float threshold);
int isect_ray_tri_epsilon_v3(const float p1[3], const float d[3],
const float v0[3], const float v1[3], const float v2[3], float *lambda, float uv[2], const float epsilon);
const float v0[3], const float v1[3], const float v2[3], float *r_lambda, float r_uv[2], const float epsilon);
/* point in polygon */
int isect_point_quad_v2(const float p[2], const float a[2], const float b[2], const float c[2], const float d[2]);
@ -148,16 +150,16 @@ int isect_point_tri_v2_int(const int x1, const int y1, const int x2, const int y
int isect_point_tri_prism_v3(const float p[3], const float v1[3], const float v2[3], const float v3[3]);
void isect_point_quad_uv_v2(const float v0[2], const float v1[2], const float v2[2], const float v3[2],
const float pt[2], float *uv);
const float pt[2], float r_uv[2]);
void isect_point_face_uv_v2(const int isquad, const float v0[2], const float v1[2], const float v2[2],
const float v3[2], const float pt[2], float *uv);
const float v3[2], const float pt[2], float r_uv[2]);
/* other */
int isect_sweeping_sphere_tri_v3(const float p1[3], const float p2[3], const float radius,
const float v0[3], const float v1[3], const float v2[3], float *lambda, float ipoint[3]);
const float v0[3], const float v1[3], const float v2[3], float *r_lambda, float ipoint[3]);
int isect_axial_line_tri_v3(const int axis, const float co1[3], const float co2[3],
const float v0[3], const float v1[3], const float v2[3], float *lambda);
const float v0[3], const float v1[3], const float v2[3], float *r_lambda);
int isect_aabb_aabb_v3(const float min1[3], const float max1[3], const float min2[3], const float max2[3]);
@ -184,7 +186,7 @@ void barycentric_transform(float pt_tar[3], float const pt_src[3],
void barycentric_weights_v2(const float v1[2], const float v2[2], const float v3[2],
const float co[2], float w[3]);
void resolve_tri_uv(float uv[2], const float st[2], const float st0[2], const float st1[2], const float st2[2]);
void resolve_tri_uv(float r_uv[2], const float st[2], const float st0[2], const float st1[2], const float st2[2]);
void resolve_quad_uv(float uv[2], const float st[2], const float st0[2], const float st1[2], const float st2[2], const float st3[2]);
/***************************** View & Projection *****************************/

@ -238,6 +238,15 @@ void closest_to_line_segment_v3(float closest[3], const float v1[3], const float
}
/* signed distance from the point to the plane in 3D */
float dist_to_plane_normalized_v3(const float p[3], const float plane_co[3], const float plane_no_unit[3])
{
float plane_co_other[3];
add_v3_v3v3(plane_co_other, plane_co, plane_no_unit);
return line_point_factor_v3(p, plane_co, plane_co_other);
}
float dist_to_plane_v3(const float p[3], const float plane_co[3], const float plane_no[3])
{
float plane_no_unit[3];
@ -246,7 +255,7 @@ float dist_to_plane_v3(const float p[3], const float plane_co[3], const float pl
normalize_v3_v3(plane_no_unit, plane_no);
add_v3_v3v3(plane_co_other, plane_co, plane_no_unit);
return -line_point_factor_v3(p, plane_co, plane_co_other);
return line_point_factor_v3(p, plane_co, plane_co_other);
}
/* distance v1 to line-piece v2-v3 in 3D */
@ -601,7 +610,9 @@ int isect_point_quad_v2(const float pt[2], const float v1[2], const float v2[2],
test if the line starting at p1 ending at p2 intersects the triangle v0..v2
return non zero if it does
*/
int isect_line_tri_v3(const float p1[3], const float p2[3], const float v0[3], const float v1[3], const float v2[3], float *lambda, float uv[2])
int isect_line_tri_v3(const float p1[3], const float p2[3],
const float v0[3], const float v1[3], const float v2[3],
float *r_lambda, float r_uv[2])
{
float p[3], s[3], d[3], e1[3], e2[3], q[3];
@ -626,12 +637,12 @@ int isect_line_tri_v3(const float p1[3], const float p2[3], const float v0[3], c
v = f * dot_v3v3(d, q);
if ((v < 0.0f)||((u + v) > 1.0f)) return 0;
*lambda = f * dot_v3v3(e2, q);
if ((*lambda < 0.0f)||(*lambda > 1.0f)) return 0;
*r_lambda = f * dot_v3v3(e2, q);
if ((*r_lambda < 0.0f)||(*r_lambda > 1.0f)) return 0;
if(uv) {
uv[0]= u;
uv[1]= v;
if(r_uv) {
r_uv[0]= u;
r_uv[1]= v;
}
return 1;
@ -640,7 +651,9 @@ int isect_line_tri_v3(const float p1[3], const float p2[3], const float v0[3], c
test if the ray starting at p1 going in d direction intersects the triangle v0..v2
return non zero if it does
*/
int isect_ray_tri_v3(const float p1[3], const float d[3], const float v0[3], const float v1[3], const float v2[3], float *lambda, float uv[2])
int isect_ray_tri_v3(const float p1[3], const float d[3],
const float v0[3], const float v1[3], const float v2[3],
float *r_lambda, float r_uv[2])
{
float p[3], s[3], e1[3], e2[3], q[3];
float a, f, u, v;
@ -665,18 +678,20 @@ int isect_ray_tri_v3(const float p1[3], const float d[3], const float v0[3], con
v = f * dot_v3v3(d, q);
if ((v < 0.0f)||((u + v) > 1.0f)) return 0;
*lambda = f * dot_v3v3(e2, q);
if ((*lambda < 0.0f)) return 0;
*r_lambda = f * dot_v3v3(e2, q);
if ((*r_lambda < 0.0f)) return 0;
if(uv) {
uv[0]= u;
uv[1]= v;
if(r_uv) {
r_uv[0]= u;
r_uv[1]= v;
}
return 1;
}
int isect_ray_plane_v3(float p1[3], float d[3], float v0[3], float v1[3], float v2[3], float *lambda, int clip)
int isect_ray_plane_v3(const float p1[3], const float d[3],
const float v0[3], const float v1[3], const float v2[3],
float *r_lambda, const int clip)
{
float p[3], s[3], e1[3], e2[3], q[3];
float a, f;
@ -700,13 +715,15 @@ int isect_ray_plane_v3(float p1[3], float d[3], float v0[3], float v1[3], float
/* v = f * dot_v3v3(d, q); */ /*UNUSED*/
*lambda = f * dot_v3v3(e2, q);
if (clip && (*lambda < 0.0f)) return 0;
*r_lambda = f * dot_v3v3(e2, q);
if (clip && (*r_lambda < 0.0f)) return 0;
return 1;
}
int isect_ray_tri_epsilon_v3(const float p1[3], const float d[3], const float v0[3], const float v1[3], const float v2[3], float *lambda, float uv[2], const float epsilon)
int isect_ray_tri_epsilon_v3(const float p1[3], const float d[3],
const float v0[3], const float v1[3], const float v2[3],
float *r_lambda, float uv[2], const float epsilon)
{
float p[3], s[3], e1[3], e2[3], q[3];
float a, f, u, v;
@ -729,8 +746,8 @@ int isect_ray_tri_epsilon_v3(const float p1[3], const float d[3], const float v0
v = f * dot_v3v3(d, q);
if ((v < -epsilon)||((u + v) > 1.0f+epsilon)) return 0;
*lambda = f * dot_v3v3(e2, q);
if ((*lambda < 0.0f)) return 0;
*r_lambda = f * dot_v3v3(e2, q);
if ((*r_lambda < 0.0f)) return 0;
if(uv) {
uv[0]= u;
@ -740,7 +757,9 @@ int isect_ray_tri_epsilon_v3(const float p1[3], const float d[3], const float v0
return 1;
}
int isect_ray_tri_threshold_v3(const float p1[3], const float d[3], const float v0[3], const float v1[3], const float v2[3], float *lambda, float *uv, const float threshold)
int isect_ray_tri_threshold_v3(const float p1[3], const float d[3],
const float v0[3], const float v1[3], const float v2[3],
float *r_lambda, float r_uv[2], const float threshold)
{
float p[3], s[3], e1[3], e2[3], q[3];
float a, f, u, v;
@ -757,8 +776,8 @@ int isect_ray_tri_threshold_v3(const float p1[3], const float d[3], const float
sub_v3_v3v3(s, p1, v0);
cross_v3_v3v3(q, s, e1);
*lambda = f * dot_v3v3(e2, q);
if ((*lambda < 0.0f)) return 0;
*r_lambda = f * dot_v3v3(e2, q);
if ((*r_lambda < 0.0f)) return 0;
u = f * dot_v3v3(s, p);
v = f * dot_v3v3(d, q);
@ -782,9 +801,9 @@ int isect_ray_tri_threshold_v3(const float p1[3], const float d[3], const float
return 0;
}
if(uv) {
uv[0]= u;
uv[1]= v;
if(r_uv) {
r_uv[0]= u;
r_uv[1]= v;
}
return 1;
@ -833,24 +852,16 @@ int isect_line_plane_v3(float out[3], const float l1[3], const float l2[3], cons
}
}
int isect_plane_plane_v3(float r_isect_co[3], float r_isect_no[3],
/* note: return normal isnt unit length */
void isect_plane_plane_v3(float r_isect_co[3], float r_isect_no[3],
const float plane_a_co[3], const float plane_a_no[3],
const float plane_b_co[3], const float plane_b_no[3])
{
float p1_co_other[3], p2_co_other[3];
float isect_co_dummy[3];
cross_v3_v3v3(r_isect_no, plane_a_no, plane_b_no);
cross_v3_v3v3(p1_co_other, plane_a_no, r_isect_no);
cross_v3_v3v3(p2_co_other, plane_b_no, r_isect_no);
add_v3_v3(p1_co_other, plane_a_co);
add_v3_v3(p2_co_other, plane_b_co);
/* we could use either ix_1, ix_2 - doesnt matter in this case */
return isect_line_line_v3(plane_a_co, p1_co_other,
plane_b_co, p2_co_other,
r_isect_co, isect_co_dummy);
float plane_a_co_other[3];
cross_v3_v3v3(r_isect_no, plane_a_no, plane_b_no); /* direction is simply the cross product */
cross_v3_v3v3(plane_a_co_other, plane_a_no, r_isect_no);
add_v3_v3(plane_a_co_other, plane_a_co);
isect_line_plane_v3(r_isect_co, plane_a_co, plane_a_co_other, plane_b_co, plane_b_no, FALSE);
}
@ -893,7 +904,10 @@ static int getLowestRoot(const float a, const float b, const float c, const floa
return 0;
}
int isect_sweeping_sphere_tri_v3(const float p1[3], const float p2[3], const float radius, const float v0[3], const float v1[3], const float v2[3], float *lambda, float ipoint[3])
int isect_sweeping_sphere_tri_v3(
const float p1[3], const float p2[3], const float radius,
const float v0[3], const float v1[3], const float v2[3],
float *r_lambda, float ipoint[3])
{
float e1[3], e2[3], e3[3], point[3], vel[3], /*dist[3],*/ nor[3], temp[3], bv[3];
float a, b, c, d, e, x, y, z, radius2=radius*radius;
@ -960,14 +974,14 @@ int isect_sweeping_sphere_tri_v3(const float p1[3], const float p2[3], const flo
if(z <= 0.0f && (x >= 0.0f && y >= 0.0f))
{
//(((unsigned int)z)& ~(((unsigned int)x)|((unsigned int)y))) & 0x80000000){
*lambda=t0;
*r_lambda=t0;
copy_v3_v3(ipoint,point);
return 1;
}
}
*lambda=1.0f;
*r_lambda=1.0f;
/*---test points---*/
a=dot_v3v3(vel,vel);
@ -977,7 +991,7 @@ int isect_sweeping_sphere_tri_v3(const float p1[3], const float p2[3], const flo
b=2.0f*dot_v3v3(vel,temp);
c=dot_v3v3(temp,temp)-radius2;
if(getLowestRoot(a, b, c, *lambda, lambda))
if(getLowestRoot(a, b, c, *r_lambda, r_lambda))
{
copy_v3_v3(ipoint,v0);
found_by_sweep=1;
@ -988,7 +1002,7 @@ int isect_sweeping_sphere_tri_v3(const float p1[3], const float p2[3], const flo
b=2.0f*dot_v3v3(vel,temp);
c=dot_v3v3(temp,temp)-radius2;
if(getLowestRoot(a, b, c, *lambda, lambda))
if(getLowestRoot(a, b, c, *r_lambda, r_lambda))
{
copy_v3_v3(ipoint,v1);
found_by_sweep=1;
@ -999,7 +1013,7 @@ int isect_sweeping_sphere_tri_v3(const float p1[3], const float p2[3], const flo
b=2.0f*dot_v3v3(vel,temp);
c=dot_v3v3(temp,temp)-radius2;
if(getLowestRoot(a, b, c, *lambda, lambda))
if(getLowestRoot(a, b, c, *r_lambda, r_lambda))
{
copy_v3_v3(ipoint,v2);
found_by_sweep=1;
@ -1020,13 +1034,13 @@ int isect_sweeping_sphere_tri_v3(const float p1[3], const float p2[3], const flo
b=2.0f*(elen2*dot_v3v3(vel,bv)-edotv*edotbv);
c=elen2*(radius2-dot_v3v3(bv,bv))+edotbv*edotbv;
if(getLowestRoot(a, b, c, *lambda, &newLambda))
if(getLowestRoot(a, b, c, *r_lambda, &newLambda))
{
e=(edotv*newLambda-edotbv)/elen2;
if(e >= 0.0f && e <= 1.0f)
{
*lambda = newLambda;
*r_lambda = newLambda;
copy_v3_v3(ipoint,e1);
mul_v3_fl(ipoint,e);
add_v3_v3(ipoint, v0);
@ -1044,13 +1058,13 @@ int isect_sweeping_sphere_tri_v3(const float p1[3], const float p2[3], const flo
b=2.0f*(elen2*dot_v3v3(vel,bv)-edotv*edotbv);
c=elen2*(radius2-dot_v3v3(bv,bv))+edotbv*edotbv;
if(getLowestRoot(a, b, c, *lambda, &newLambda))
if(getLowestRoot(a, b, c, *r_lambda, &newLambda))
{
e=(edotv*newLambda-edotbv)/elen2;
if(e >= 0.0f && e <= 1.0f)
{
*lambda = newLambda;
*r_lambda = newLambda;
copy_v3_v3(ipoint,e2);
mul_v3_fl(ipoint,e);
add_v3_v3(ipoint, v0);
@ -1073,13 +1087,13 @@ int isect_sweeping_sphere_tri_v3(const float p1[3], const float p2[3], const flo
b=2.0f*(elen2*dot_v3v3(vel,bv)-edotv*edotbv);
c=elen2*(radius2-dot_v3v3(bv,bv))+edotbv*edotbv;
if(getLowestRoot(a, b, c, *lambda, &newLambda))
if(getLowestRoot(a, b, c, *r_lambda, &newLambda))
{
e=(edotv*newLambda-edotbv)/elen2;
if(e >= 0.0f && e <= 1.0f)
{
*lambda = newLambda;
*r_lambda = newLambda;
copy_v3_v3(ipoint,e3);
mul_v3_fl(ipoint,e);
add_v3_v3(ipoint, v1);
@ -1090,7 +1104,8 @@ int isect_sweeping_sphere_tri_v3(const float p1[3], const float p2[3], const flo
return found_by_sweep;
}
int isect_axial_line_tri_v3(const int axis, const float p1[3], const float p2[3], const float v0[3], const float v1[3], const float v2[3], float *lambda)
int isect_axial_line_tri_v3(const int axis, const float p1[3], const float p2[3],
const float v0[3], const float v1[3], const float v2[3], float *r_lambda)
{
float p[3], e1[3], e2[3];
float u, v, f;
@ -1127,9 +1142,9 @@ int isect_axial_line_tri_v3(const int axis, const float p1[3], const float p2[3]
if ((u < 0.0f) || ((u + v) > 1.0f)) return 0;
*lambda = (p[a0]+u*e1[a0]+v*e2[a0])/(p2[a0]-p1[a0]);
*r_lambda = (p[a0]+u*e1[a0]+v*e2[a0])/(p2[a0]-p1[a0]);
if ((*lambda < 0.0f) || (*lambda > 1.0f)) return 0;
if ((*r_lambda < 0.0f) || (*r_lambda > 1.0f)) return 0;
return 1;
}
@ -1203,7 +1218,7 @@ int isect_line_line_v3(const float v1[3], const float v2[3], const float v3[3],
/* Intersection point strictly between the two lines
* 0 when no intersection is found
* */
int isect_line_line_strict_v3(const float v1[3], const float v2[3], const float v3[3], const float v4[3], float vi[3], float *lambda)
int isect_line_line_strict_v3(const float v1[3], const float v2[3], const float v3[3], const float v4[3], float vi[3], float *r_lambda)
{
float a[3], b[3], c[3], ab[3], cb[3], ca[3], dir1[3], dir2[3];
float d;
@ -1237,12 +1252,9 @@ int isect_line_line_strict_v3(const float v1[3], const float v2[3], const float
{
mul_v3_fl(a, f1);
add_v3_v3v3(vi, v1, a);
if (lambda != NULL)
{
*lambda = f1;
}
if (r_lambda) *r_lambda = f1;
return 1; /* intersection found */
}
else
@ -1306,7 +1318,7 @@ float line_point_factor_v2(const float p[2], const float l1[2], const float l2[2
}
/* Similar to LineIntersectsTriangleUV, except it operates on a quad and in 2d, assumes point is in quad */
void isect_point_quad_uv_v2(const float v0[2], const float v1[2], const float v2[2], const float v3[2], const float pt[2], float *uv)
void isect_point_quad_uv_v2(const float v0[2], const float v1[2], const float v2[2], const float v3[2], const float pt[2], float r_uv[2])
{
float x0,y0, x1,y1, wtot, v2d[2], w1, w2;
@ -1331,7 +1343,7 @@ void isect_point_quad_uv_v2(const float v0[2], const float v1[2], const float v2
wtot = w1+w2;
/*w1 = w1/wtot;*/
/*w2 = w2/wtot;*/
uv[0] = w1/wtot;
r_uv[0] = w1/wtot;
} else {
/* lines are parallel, lambda_cp_line_ex is 3d grrr */
/*printf("\tparallel1\n");*/
@ -1353,7 +1365,7 @@ void isect_point_quad_uv_v2(const float v0[2], const float v1[2], const float v2
v2d[1] = pt[1]-pt_on_line[1];
w2 = len_v2(v2d);
wtot = w1+w2;
uv[0] = w1/wtot;
r_uv[0] = w1/wtot;
}
/* Same as above to calc the uv[1] value, alternate calculation */
@ -1371,7 +1383,7 @@ void isect_point_quad_uv_v2(const float v0[2], const float v1[2], const float v2
v2d[1] = y1-v1[1];
w2 = len_v2(v2d);
wtot = w1+w2;
uv[1] = w1/wtot;
r_uv[1] = w1/wtot;
} else {
/* lines are parallel, lambda_cp_line_ex is 3d grrr */
/*printf("\tparallel2\n");*/
@ -1394,23 +1406,23 @@ void isect_point_quad_uv_v2(const float v0[2], const float v1[2], const float v2
v2d[1] = pt[1]-pt_on_line[1];
w2 = len_v2(v2d);
wtot = w1+w2;
uv[1] = w1/wtot;
r_uv[1] = w1/wtot;
}
/* may need to flip UV's here */
}
/* same as above but does tri's and quads, tri's are a bit of a hack */
void isect_point_face_uv_v2(const int isquad, const float v0[2], const float v1[2], const float v2[2], const float v3[2], const float pt[2], float *uv)
void isect_point_face_uv_v2(const int isquad, const float v0[2], const float v1[2], const float v2[2], const float v3[2], const float pt[2], float r_uv[2])
{
if (isquad) {
isect_point_quad_uv_v2(v0, v1, v2, v3, pt, uv);
isect_point_quad_uv_v2(v0, v1, v2, v3, pt, r_uv);
}
else {
/* not for quads, use for our abuse of LineIntersectsTriangleUV */
float p1_3d[3], p2_3d[3], v0_3d[3], v1_3d[3], v2_3d[3], lambda;
p1_3d[0] = p2_3d[0] = uv[0];
p1_3d[1] = p2_3d[1] = uv[1];
p1_3d[0] = p2_3d[0] = r_uv[0];
p1_3d[1] = p2_3d[1] = r_uv[1];
p1_3d[2] = 1.0f;
p2_3d[2] = -1.0f;
v0_3d[2] = v1_3d[2] = v2_3d[2] = 0.0;
@ -1427,7 +1439,7 @@ void isect_point_face_uv_v2(const int isquad, const float v0[2], const float v1[
copy_v2_v2(v2_3d, v2);
/* Doing this in 3D is not nice */
isect_line_tri_v3(p1_3d, p2_3d, v0_3d, v1_3d, v2_3d, &lambda, uv);
isect_line_tri_v3(p1_3d, p2_3d, v0_3d, v1_3d, v2_3d, &lambda, r_uv);
}
}
@ -1993,7 +2005,7 @@ void interp_cubic_v3(float x[3], float v[3], const float x1[3], const float v1[3
#define IS_ZERO(x) ((x>(-DBL_EPSILON) && x<DBL_EPSILON) ? 1 : 0)
/* Barycentric reverse */
void resolve_tri_uv(float uv[2], const float st[2], const float st0[2], const float st1[2], const float st2[2])
void resolve_tri_uv(float r_uv[2], const float st[2], const float st0[2], const float st1[2], const float st2[2])
{
/* find UV such that
t= u*t0 + v*t1 + (1-u-v)*t2
@ -2005,13 +2017,13 @@ void resolve_tri_uv(float uv[2], const float st[2], const float st0[2], const fl
if(IS_ZERO(det)==0) { /* det should never be zero since the determinant is the signed ST area of the triangle. */
const double x[]= {st[0]-st2[0], st[1]-st2[1]};
uv[0]= (float)((d*x[0] - b*x[1])/det);
uv[1]= (float)(((-c)*x[0] + a*x[1])/det);
} else zero_v2(uv);
r_uv[0]= (float)((d*x[0] - b*x[1])/det);
r_uv[1]= (float)(((-c)*x[0] + a*x[1])/det);
} else zero_v2(r_uv);
}
/* bilinear reverse */
void resolve_quad_uv(float uv[2], const float st[2], const float st0[2], const float st1[2], const float st2[2], const float st3[2])
void resolve_quad_uv(float r_uv[2], const float st[2], const float st0[2], const float st1[2], const float st2[2], const float st3[2])
{
const double signed_area= (st0[0]*st1[1] - st0[1]*st1[0]) + (st1[0]*st2[1] - st1[1]*st2[0]) +
(st2[0]*st3[1] - st2[1]*st3[0]) + (st3[0]*st0[1] - st3[1]*st0[0]);
@ -2029,25 +2041,25 @@ void resolve_quad_uv(float uv[2], const float st[2], const float st0[2], const f
const double denom= a - 2*b + fC;
// clear outputs
zero_v2(uv);
zero_v2(r_uv);
if(IS_ZERO(denom)!=0) {
const double fDen= a-fC;
if(IS_ZERO(fDen)==0)
uv[0]= (float)(a / fDen);
r_uv[0]= (float)(a / fDen);
} else {
const double desc_sq= b*b - a*fC;
const double desc= sqrt(desc_sq<0.0?0.0:desc_sq);
const double s= signed_area>0 ? (-1.0) : 1.0;
uv[0]= (float)(( (a-b) + s * desc ) / denom);
r_uv[0]= (float)(( (a-b) + s * desc ) / denom);
}
/* find UV such that
fST = (1-u)(1-v)*ST0 + u*(1-v)*ST1 + u*v*ST2 + (1-u)*v*ST3 */
{
const double denom_s= (1-uv[0])*(st0[0]-st3[0]) + uv[0]*(st1[0]-st2[0]);
const double denom_t= (1-uv[0])*(st0[1]-st3[1]) + uv[0]*(st1[1]-st2[1]);
const double denom_s= (1-r_uv[0])*(st0[0]-st3[0]) + r_uv[0]*(st1[0]-st2[0]);
const double denom_t= (1-r_uv[0])*(st0[1]-st3[1]) + r_uv[0]*(st1[1]-st2[1]);
int i= 0; double denom= denom_s;
if(fabs(denom_s)<fabs(denom_t)) {
@ -2056,7 +2068,7 @@ void resolve_quad_uv(float uv[2], const float st[2], const float st0[2], const f
}
if(IS_ZERO(denom)==0)
uv[1]= (float) (( (1.0f-uv[0])*(st0[i]-st[i]) + uv[0]*(st1[i]-st[i]) ) / denom);
r_uv[1]= (float) (( (1.0f-r_uv[0])*(st0[i]-st[i]) + r_uv[0]*(st1[i]-st[i]) ) / denom);
}
}

@ -497,6 +497,65 @@ static PyObject *M_Geometry_intersect_line_plane(PyObject *UNUSED(self), PyObjec
}
}
PyDoc_STRVAR(M_Geometry_intersect_plane_plane_doc,
".. function:: intersect_plane_plane(plane_a_co, plane_a_no, plane_b_co, plane_b_no)\n"
"\n"
" Return the intersection between two planes\n"
"\n"
" :arg plane_a_co: Point on the first plane\n"
" :type plane_a_co: :class:`mathutils.Vector`\n"
" :arg plane_a_no: Normal of the first plane\n"
" :type plane_a_no: :class:`mathutils.Vector`\n"
" :arg plane_b_co: Point on the second plane\n"
" :type plane_b_co: :class:`mathutils.Vector`\n"
" :arg plane_b_no: Normal of the second plane\n"
" :type plane_b_no: :class:`mathutils.Vector`\n"
" :return: The line of the intersection represented as a point and a vector\n"
" :rtype: tuple pair of :class:`mathutils.Vector`\n"
);
static PyObject *M_Geometry_intersect_plane_plane(PyObject *UNUSED(self), PyObject* args)
{
PyObject *ret;
VectorObject *plane_a_co, *plane_a_no, *plane_b_co, *plane_b_no;
float isect_co[3];
float isect_no[3];
if (!PyArg_ParseTuple(args, "O!O!O!O!|i:intersect_plane_plane",
&vector_Type, &plane_a_co,
&vector_Type, &plane_a_no,
&vector_Type, &plane_b_co,
&vector_Type, &plane_b_no))
{
return NULL;
}
if ( BaseMath_ReadCallback(plane_a_co) == -1 ||
BaseMath_ReadCallback(plane_a_no) == -1 ||
BaseMath_ReadCallback(plane_b_co) == -1 ||
BaseMath_ReadCallback(plane_b_no) == -1)
{
return NULL;
}
if (ELEM4(2, plane_a_co->size, plane_a_no->size, plane_b_co->size, plane_b_no->size)) {
PyErr_SetString(PyExc_ValueError,
"geometry.intersect_plane_plane(...): "
" can't use 2D Vectors");
return NULL;
}
isect_plane_plane_v3(isect_co, isect_no,
plane_a_co->vec, plane_a_no->vec,
plane_b_co->vec, plane_b_no->vec);
normalize_v3(isect_no);
ret= PyTuple_New(2);
PyTuple_SET_ITEM(ret, 0, newVectorObject(isect_co, 3, Py_NEW, NULL));
PyTuple_SET_ITEM(ret, 1, newVectorObject(isect_no, 3, Py_NEW, NULL));
return ret;
}
PyDoc_STRVAR(M_Geometry_intersect_line_sphere_doc,
".. function:: intersect_line_sphere(line_a, line_b, sphere_co, sphere_radius, clip=True)\n"
@ -1211,7 +1270,7 @@ static PyMethodDef M_Geometry_methods[]= {
{"intersect_line_line", (PyCFunction) M_Geometry_intersect_line_line, METH_VARARGS, M_Geometry_intersect_line_line_doc},
{"intersect_line_line_2d", (PyCFunction) M_Geometry_intersect_line_line_2d, METH_VARARGS, M_Geometry_intersect_line_line_2d_doc},
{"intersect_line_plane", (PyCFunction) M_Geometry_intersect_line_plane, METH_VARARGS, M_Geometry_intersect_line_plane_doc},
/* TODO: isect_plane_plane_v3 --> intersect_plane_plane */
{"intersect_plane_plane", (PyCFunction) M_Geometry_intersect_plane_plane, METH_VARARGS, M_Geometry_intersect_plane_plane_doc},
{"intersect_line_sphere", (PyCFunction) M_Geometry_intersect_line_sphere, METH_VARARGS, M_Geometry_intersect_line_sphere_doc},
{"intersect_line_sphere_2d", (PyCFunction) M_Geometry_intersect_line_sphere_2d, METH_VARARGS, M_Geometry_intersect_line_sphere_2d_doc},
{"distance_point_to_plane", (PyCFunction) M_Geometry_distance_point_to_plane, METH_VARARGS, M_Geometry_distance_point_to_plane_doc},