From bec7c8c7aa951dd98ee4a7c14a434a4d0ac02688 Mon Sep 17 00:00:00 2001
From: Campbell Barton <ideasman42@gmail.com>
Date: Thu, 27 Mar 2014 11:48:18 +1100
Subject: [PATCH] BMesh: optimize BM_face_legal_splits for concave faces

---
 source/blender/blenlib/BLI_math_geom.h      |  1 +
 source/blender/blenlib/intern/math_geom.c   | 39 +++++++++++++++++++++
 source/blender/bmesh/intern/bmesh_polygon.c |  4 ++-
 3 files changed, 43 insertions(+), 1 deletion(-)

diff --git a/source/blender/blenlib/BLI_math_geom.h b/source/blender/blenlib/BLI_math_geom.h
index db71eeb8770..14357c06f78 100644
--- a/source/blender/blenlib/BLI_math_geom.h
+++ b/source/blender/blenlib/BLI_math_geom.h
@@ -73,6 +73,7 @@ float volume_tetrahedron_v3(const float v1[3], const float v2[3], const float v3
 
 int is_quad_convex_v3(const float v1[3], const float v2[3], const float v3[3], const float v4[3]);
 int is_quad_convex_v2(const float v1[2], const float v2[2], const float v3[2], const float v4[2]);
+int is_poly_convex_v2(const float verts[][2], unsigned int nr);
 
 /********************************* Distance **********************************/
 
diff --git a/source/blender/blenlib/intern/math_geom.c b/source/blender/blenlib/intern/math_geom.c
index 6a812814afe..ca9d3bb413f 100644
--- a/source/blender/blenlib/intern/math_geom.c
+++ b/source/blender/blenlib/intern/math_geom.c
@@ -3846,3 +3846,42 @@ int is_quad_convex_v2(const float v1[2], const float v2[2], const float v3[2], c
 	/* linetests, the 2 diagonals have to instersect to be convex */
 	return (isect_line_line_v2(v1, v3, v2, v4) > 0);
 }
+
+int is_poly_convex_v2(const float verts[][2], unsigned int nr)
+{
+	unsigned int sign_flag = 0;
+	unsigned int a;
+	const float *co_curr, *co_prev;
+	float dir_curr[2], dir_prev[2];
+
+	co_prev = verts[nr - 1];
+	co_curr = verts[0];
+
+	sub_v2_v2v2(dir_prev, verts[nr - 2], co_prev);
+
+	for (a = 0; a < nr; a++) {
+		float cross;
+
+		sub_v2_v2v2(dir_curr, co_prev, co_curr);
+
+		cross = cross_v2v2(dir_prev, dir_curr);
+
+		if (cross < 0.0f) {
+			sign_flag |= 1;
+		}
+		else if (cross > 0.0f) {
+			sign_flag |= 2;
+		}
+
+		if (sign_flag == (1 | 2)) {
+			return false;
+		}
+
+		copy_v2_v2(dir_prev, dir_curr);
+
+		co_prev = co_curr;
+		co_curr += 2;
+	}
+
+	return true;
+}
diff --git a/source/blender/bmesh/intern/bmesh_polygon.c b/source/blender/bmesh/intern/bmesh_polygon.c
index 3093cba663f..867c54ad4b8 100644
--- a/source/blender/bmesh/intern/bmesh_polygon.c
+++ b/source/blender/bmesh/intern/bmesh_polygon.c
@@ -1064,7 +1064,9 @@ void BM_face_legal_splits(BMFace *f, BMLoop *(*loops)[2], int len)
 	}
 
 	/* first test for completely convex face */
-
+	if (is_poly_convex_v2((const float (*)[2])projverts, f->len)) {
+		return;
+	}
 
 	for (i = 0, l = BM_FACE_FIRST_LOOP(f); i < f->len; i++, l = l->next) {
 		out[0] = max_ff(out[0], projverts[i][0]);