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Diffstat (limited to 'source/blender/blenlib/intern/math_geom.c')
-rw-r--r--source/blender/blenlib/intern/math_geom.c64
1 files changed, 64 insertions, 0 deletions
diff --git a/source/blender/blenlib/intern/math_geom.c b/source/blender/blenlib/intern/math_geom.c
index e8ccef4d55e..dca9d4204c3 100644
--- a/source/blender/blenlib/intern/math_geom.c
+++ b/source/blender/blenlib/intern/math_geom.c
@@ -911,6 +911,70 @@ int isect_seg_seg_v2(const float v1[2], const float v2[2], const float v3[2], co
return ISECT_LINE_LINE_NONE;
}
+/* Returns a point on each segment that is closest to the other. */
+void isect_seg_seg_v3(
+ const float a0[3], const float a1[3],
+ const float b0[3], const float b1[3],
+ float r_a[3], float r_b[3])
+{
+ float fac_a, fac_b;
+ float a_dir[3], b_dir[3], a0b0[3], crs_ab[3];
+ sub_v3_v3v3(a_dir, a1, a0);
+ sub_v3_v3v3(b_dir, b1, b0);
+ sub_v3_v3v3(a0b0, b0, a0);
+ cross_v3_v3v3(crs_ab, b_dir, a_dir);
+ const float nlen = len_squared_v3(crs_ab);
+
+ if (nlen == 0.0f) {
+ /* Parallel Lines */
+ /* In this case return any point that
+ * is between the closest segments. */
+ float a0b1[3], a1b0[3], len_a, len_b, fac1, fac2;
+ sub_v3_v3v3(a0b1, b1, a0);
+ sub_v3_v3v3(a1b0, b0, a1);
+ len_a = len_squared_v3(a_dir);
+ len_b = len_squared_v3(b_dir);
+
+ if (len_a) {
+ fac1 = dot_v3v3(a0b0, a_dir);
+ fac2 = dot_v3v3(a0b1, a_dir);
+ CLAMP(fac1, 0.0f, len_a);
+ CLAMP(fac2, 0.0f, len_a);
+ fac_a = (fac1 + fac2) / (2 * len_a);
+ }
+ else {
+ fac_a = 0.0f;
+ }
+
+ if (len_b) {
+ fac1 = -dot_v3v3(a0b0, b_dir);
+ fac2 = -dot_v3v3(a1b0, b_dir);
+ CLAMP(fac1, 0.0f, len_b);
+ CLAMP(fac2, 0.0f, len_b);
+ fac_b = (fac1 + fac2) / (2 * len_b);
+ }
+ else {
+ fac_b = 0.0f;
+ }
+ }
+ else {
+ float c[3], cray[3];
+ sub_v3_v3v3(c, crs_ab, a0b0);
+
+ cross_v3_v3v3(cray, c, b_dir);
+ fac_a = dot_v3v3(cray, crs_ab) / nlen;
+
+ cross_v3_v3v3(cray, c, a_dir);
+ fac_b = dot_v3v3(cray, crs_ab) / nlen;
+
+ CLAMP(fac_a, 0.0f, 1.0f);
+ CLAMP(fac_b, 0.0f, 1.0f);
+ }
+
+ madd_v3_v3v3fl(r_a, a0, a_dir, fac_a);
+ madd_v3_v3v3fl(r_b, b0, b_dir, fac_b);
+}
+
/**
* Get intersection point of two 2D segments.
*