diff options
Diffstat (limited to 'thirdparty/b2d_convexdecomp')
-rw-r--r-- | thirdparty/b2d_convexdecomp/b2Glue.h | 174 | ||||
-rw-r--r-- | thirdparty/b2d_convexdecomp/b2Polygon.cpp | 1591 | ||||
-rw-r--r-- | thirdparty/b2d_convexdecomp/b2Polygon.h | 133 | ||||
-rw-r--r-- | thirdparty/b2d_convexdecomp/b2Triangle.cpp | 82 | ||||
-rw-r--r-- | thirdparty/b2d_convexdecomp/b2Triangle.h | 41 |
5 files changed, 0 insertions, 2021 deletions
diff --git a/thirdparty/b2d_convexdecomp/b2Glue.h b/thirdparty/b2d_convexdecomp/b2Glue.h deleted file mode 100644 index 175f75be75..0000000000 --- a/thirdparty/b2d_convexdecomp/b2Glue.h +++ /dev/null @@ -1,174 +0,0 @@ -/* -* Copyright (c) 2006-2009 Erin Catto http://www.gphysics.com -* -* This software is provided 'as-is', without any express or implied -* warranty. In no event will the authors be held liable for any damages -* arising from the use of this software. -* Permission is granted to anyone to use this software for any purpose, -* including commercial applications, and to alter it and redistribute it -* freely, subject to the following restrictions: -* 1. The origin of this software must not be misrepresented; you must not -* claim that you wrote the original software. If you use this software -* in a product, an acknowledgment in the product documentation would be -* appreciated but is not required. -* 2. Altered source versions must be plainly marked as such, and must not be -* misrepresented as being the original software. -* 3. This notice may not be removed or altered from any source distribution. -*/ - -#ifndef B2GLUE_H -#define B2GLUE_H - -#include "core/math/vector2.h" - -#include <limits.h> - -namespace b2ConvexDecomp { - -typedef real_t float32; -typedef int32_t int32; - -static inline float32 b2Sqrt(float32 val) { return Math::sqrt(val); } -#define b2_maxFloat FLT_MAX -#define b2_epsilon CMP_EPSILON -#define b2_pi 3.14159265359f -#define b2_maxPolygonVertices 16 -#define b2Max MAX -#define b2Min MIN -#define b2Clamp CLAMP -#define b2Abs ABS -/// A small length used as a collision and constraint tolerance. Usually it is -/// chosen to be numerically significant, but visually insignificant. -#define b2_linearSlop 0.005f - -/// A small angle used as a collision and constraint tolerance. Usually it is -/// chosen to be numerically significant, but visually insignificant. -#define b2_angularSlop (2.0f / 180.0f * b2_pi) - -/// A 2D column vector. -struct b2Vec2 -{ - /// Default constructor does nothing (for performance). - b2Vec2() {} - - /// Construct using coordinates. - b2Vec2(float32 x, float32 y) : x(x), y(y) {} - - /// Set this vector to all zeros. - void SetZero() { x = 0.0f; y = 0.0f; } - - /// Set this vector to some specified coordinates. - void Set(float32 x_, float32 y_) { x = x_; y = y_; } - - /// Negate this vector. - b2Vec2 operator -() const { b2Vec2 v; v.Set(-x, -y); return v; } - - /// Read from and indexed element. - float32 operator () (int32 i) const - { - return (&x)[i]; - } - - /// Write to an indexed element. - float32& operator () (int32 i) - { - return (&x)[i]; - } - - /// Add a vector to this vector. - void operator += (const b2Vec2& v) - { - x += v.x; y += v.y; - } - - /// Subtract a vector from this vector. - void operator -= (const b2Vec2& v) - { - x -= v.x; y -= v.y; - } - - /// Multiply this vector by a scalar. - void operator *= (float32 a) - { - x *= a; y *= a; - } - - /// Get the length of this vector (the norm). - float32 Length() const - { - return b2Sqrt(x * x + y * y); - } - - /// Get the length squared. For performance, use this instead of - /// b2Vec2::Length (if possible). - float32 LengthSquared() const - { - return x * x + y * y; - } - - bool operator==(const b2Vec2& p_v) const { - return x==p_v.x && y==p_v.y; - } - b2Vec2 operator+(const b2Vec2& p_v) const { - return b2Vec2(x+p_v.x,y+p_v.y); - } - b2Vec2 operator-(const b2Vec2& p_v) const { - return b2Vec2(x-p_v.x,y-p_v.y); - } - - b2Vec2 operator*(float32 f) const { - return b2Vec2(f*x,f*y); - } - - /// Convert this vector into a unit vector. Returns the length. - float32 Normalize() - { - float32 length = Length(); - if (length < b2_epsilon) - { - return 0.0f; - } - float32 invLength = 1.0f / length; - x *= invLength; - y *= invLength; - - return length; - } - - /* - /// Does this vector contain finite coordinates? - bool IsValid() const - { - return b2IsValid(x) && b2IsValid(y); - } - */ - - float32 x, y; -}; - -inline b2Vec2 operator*(float32 f,const b2Vec2& p_v) { - return b2Vec2(f*p_v.x,f*p_v.y); -} - -/// Perform the dot product on two vectors. -inline float32 b2Dot(const b2Vec2& a, const b2Vec2& b) -{ - return a.x * b.x + a.y * b.y; -} - -/// Perform the cross product on two vectors. In 2D this produces a scalar. -inline float32 b2Cross(const b2Vec2& a, const b2Vec2& b) -{ - return a.x * b.y - a.y * b.x; -} - -/// Perform the cross product on a vector and a scalar. In 2D this produces -/// a vector. -inline b2Vec2 b2Cross(const b2Vec2& a, float32 s) -{ - return b2Vec2(s * a.y, -s * a.x); -} - -} - -#endif diff --git a/thirdparty/b2d_convexdecomp/b2Polygon.cpp b/thirdparty/b2d_convexdecomp/b2Polygon.cpp deleted file mode 100644 index c80204ae21..0000000000 --- a/thirdparty/b2d_convexdecomp/b2Polygon.cpp +++ /dev/null @@ -1,1591 +0,0 @@ -/* - * Copyright (c) 2007 Eric Jordan - * - * This software is provided 'as-is', without any express or implied - * warranty. In no event will the authors be held liable for any damages - * arising from the use of this software. - * Permission is granted to anyone to use this software for any purpose, - * including commercial applications, and to alter it and redistribute it - * freely, subject to the following restrictions: - * 1. The origin of this software must not be misrepresented; you must not - * claim that you wrote the original software. If you use this software - * in a product, an acknowledgment in the product documentation would be - * appreciated but is not required. - * 2. Altered source versions must be plainly marked as such, and must not be - * misrepresented as being the original software. - * 3. This notice may not be removed or altered from any source distribution. - */ - -// This utility works with Box2d version 2.0 (or higher), and not with 1.4.3 - -#include "b2Triangle.h" -#include "b2Polygon.h" - -#include <math.h> -#include <limits.h> -#include <assert.h> -#define b2Assert assert - -namespace b2ConvexDecomp { - - -//If you're using 1.4.3, b2_toiSlop won't exist, so set this equal to 0 -static const float32 toiSlop = 0.0f; - -/* - * Check if the lines a0->a1 and b0->b1 cross. - * If they do, intersectionPoint will be filled - * with the point of crossing. - * - * Grazing lines should not return true. - */ -bool intersect(const b2Vec2& a0, const b2Vec2& a1, - const b2Vec2& b0, const b2Vec2& b1, - b2Vec2& intersectionPoint) { - - if (a0 == b0 || a0 == b1 || a1 == b0 || a1 == b1) return false; - float x1 = a0.x; float y1 = a0.y; - float x2 = a1.x; float y2 = a1.y; - float x3 = b0.x; float y3 = b0.y; - float x4 = b1.x; float y4 = b1.y; - - //AABB early exit - if (b2Max(x1,x2) < b2Min(x3,x4) || b2Max(x3,x4) < b2Min(x1,x2) ) return false; - if (b2Max(y1,y2) < b2Min(y3,y4) || b2Max(y3,y4) < b2Min(y1,y2) ) return false; - - float ua = ((x4 - x3) * (y1 - y3) - (y4 - y3) * (x1 - x3)); - float ub = ((x2 - x1) * (y1 - y3) - (y2 - y1) * (x1 - x3)); - float denom = (y4 - y3) * (x2 - x1) - (x4 - x3) * (y2 - y1); - if (b2Abs(denom) < CMP_EPSILON) { - //Lines are too close to parallel to call - return false; - } - ua /= denom; - ub /= denom; - - if ((0 < ua) && (ua < 1) && (0 < ub) && (ub < 1)) { - //if (intersectionPoint){ - intersectionPoint.x = (x1 + ua * (x2 - x1)); - intersectionPoint.y = (y1 + ua * (y2 - y1)); - //} - //printf("%f, %f -> %f, %f crosses %f, %f -> %f, %f\n",x1,y1,x2,y2,x3,y3,x4,y4); - return true; - } - - return false; -} - -/* - * True if line from a0->a1 intersects b0->b1 - */ -bool intersect(const b2Vec2& a0, const b2Vec2& a1, - const b2Vec2& b0, const b2Vec2& b1) { - b2Vec2 myVec(0.0f,0.0f); - return intersect(a0, a1, b0, b1, myVec); -} - -b2Polygon::b2Polygon(float32* _x, float32* _y, int32 nVert) { - nVertices = nVert; - x = new float32[nVertices]; - y = new float32[nVertices]; - for (int32 i = 0; i < nVertices; ++i) { - x[i] = _x[i]; - y[i] = _y[i]; - } - areaIsSet = false; -} - -b2Polygon::b2Polygon(b2Vec2* v, int32 nVert) { - nVertices = nVert; - x = new float32[nVertices]; - y = new float32[nVertices]; - for (int32 i = 0; i < nVertices; ++i) { - x[i] = v[i].x; - y[i] = v[i].y; - - } - areaIsSet = false; -} - -b2Polygon::b2Polygon() { - x = NULL; - y = NULL; - nVertices = 0; - areaIsSet = false; -} - -b2Polygon::~b2Polygon() { - //printf("About to delete poly with %d vertices\n",nVertices); - delete[] x; - delete[] y; -} - -float32 b2Polygon::GetArea() { - // TODO: fix up the areaIsSet caching so that it can be used - //if (areaIsSet) return area; - area = 0.0f; - - //First do wraparound - area += x[nVertices-1]*y[0]-x[0]*y[nVertices-1]; - for (int i=0; i<nVertices-1; ++i){ - area += x[i]*y[i+1]-x[i+1]*y[i]; - } - area *= .5f; - areaIsSet = true; - return area; -} - -bool b2Polygon::IsCCW() { - return (GetArea() > 0.0f); -} - -void b2Polygon::MergeParallelEdges(float32 tolerance) { - if (nVertices <= 3) return; //Can't do anything useful here to a triangle - bool* mergeMe = new bool[nVertices]; - int32 newNVertices = nVertices; - for (int32 i = 0; i < nVertices; ++i) { - int32 lower = (i == 0) ? (nVertices - 1) : (i - 1); - int32 middle = i; - int32 upper = (i == nVertices - 1) ? (0) : (i + 1); - float32 dx0 = x[middle] - x[lower]; - float32 dy0 = y[middle] - y[lower]; - float32 dx1 = x[upper] - x[middle]; - float32 dy1 = y[upper] - y[middle]; - float32 norm0 = sqrtf(dx0*dx0+dy0*dy0); - float32 norm1 = sqrtf(dx1*dx1+dy1*dy1); - if ( !(norm0 > 0.0f && norm1 > 0.0f) && newNVertices > 3 ) { - //Merge identical points - mergeMe[i] = true; - --newNVertices; - } - dx0 /= norm0; dy0 /= norm0; - dx1 /= norm1; dy1 /= norm1; - float32 cross = dx0 * dy1 - dx1 * dy0; - float32 dot = dx0 * dx1 + dy0 * dy1; - if (fabs(cross) < tolerance && dot > 0 && newNVertices > 3) { - mergeMe[i] = true; - --newNVertices; - } else { - mergeMe[i] = false; - } - } - if(newNVertices == nVertices || newNVertices == 0) { - delete[] mergeMe; - return; - } - float32* newx = new float32[newNVertices]; - float32* newy = new float32[newNVertices]; - int32 currIndex = 0; - for (int32 i=0; i < nVertices; ++i) { - if (mergeMe[i] || newNVertices == 0 || currIndex == newNVertices) continue; - b2Assert(currIndex < newNVertices); - newx[currIndex] = x[i]; - newy[currIndex] = y[i]; - ++currIndex; - } - delete[] x; - delete[] y; - delete[] mergeMe; - x = newx; - y = newy; - nVertices = newNVertices; - //printf("%d \n", newNVertices); -} - - /* - * Allocates and returns pointer to vector vertex array. - * Length of array is nVertices. - */ -b2Vec2* b2Polygon::GetVertexVecs() { - b2Vec2* out = new b2Vec2[nVertices]; - for (int32 i = 0; i < nVertices; ++i) { - out[i].Set(x[i], y[i]); - } - return out; -} - -b2Polygon::b2Polygon(b2Triangle& t) { - nVertices = 3; - x = new float[nVertices]; - y = new float[nVertices]; - for (int32 i = 0; i < nVertices; ++i) { - x[i] = t.x[i]; - y[i] = t.y[i]; - } -} - -void b2Polygon::Set(const b2Polygon& p) { - if (nVertices != p.nVertices){ - nVertices = p.nVertices; - delete[] x; - delete[] y; - x = new float32[nVertices]; - y = new float32[nVertices]; - } - - for (int32 i = 0; i < nVertices; ++i) { - x[i] = p.x[i]; - y[i] = p.y[i]; - } - areaIsSet = false; -} - - /* - * Assuming the polygon is simple, checks if it is convex. - */ -bool b2Polygon::IsConvex() { - bool isPositive = false; - for (int32 i = 0; i < nVertices; ++i) { - int32 lower = (i == 0) ? (nVertices - 1) : (i - 1); - int32 middle = i; - int32 upper = (i == nVertices - 1) ? (0) : (i + 1); - float32 dx0 = x[middle] - x[lower]; - float32 dy0 = y[middle] - y[lower]; - float32 dx1 = x[upper] - x[middle]; - float32 dy1 = y[upper] - y[middle]; - float32 cross = dx0 * dy1 - dx1 * dy0; - // Cross product should have same sign - // for each vertex if poly is convex. - bool newIsP = (cross >= 0) ? true : false; - if (i == 0) { - isPositive = newIsP; - } - else if (isPositive != newIsP) { - return false; - } - } - return true; -} - -/* - * Pulled from b2Shape.cpp, assertions removed - */ -static b2Vec2 PolyCentroid(const b2Vec2* vs, int32 count) -{ - b2Vec2 c; c.Set(0.0f, 0.0f); - float32 area = 0.0f; - - const float32 inv3 = 1.0f / 3.0f; - b2Vec2 pRef(0.0f, 0.0f); - for (int32 i = 0; i < count; ++i) - { - // Triangle vertices. - b2Vec2 p1 = pRef; - b2Vec2 p2 = vs[i]; - b2Vec2 p3 = i + 1 < count ? vs[i+1] : vs[0]; - - b2Vec2 e1 = p2 - p1; - b2Vec2 e2 = p3 - p1; - - float32 D = b2Cross(e1, e2); - - float32 triangleArea = 0.5f * D; - area += triangleArea; - - // Area weighted centroid - c += (p1 + p2 + p3) * triangleArea * inv3; - } - - // Centroid - c *= 1.0f / area; - return c; -} - - -/* - * Checks if polygon is valid for use in Box2d engine. - * Last ditch effort to ensure no invalid polygons are - * added to world geometry. - * - * Performs a full check, for simplicity, convexity, - * orientation, minimum angle, and volume. This won't - * be very efficient, and a lot of it is redundant when - * other tools in this section are used. - */ -bool b2Polygon::IsUsable(bool printErrors){ - int32 error = -1; - bool noError = true; - if (nVertices < 3 || nVertices > b2_maxPolygonVertices) {noError = false; error = 0;} - if (!IsConvex()) {noError = false; error = 1;} - if (!IsSimple()) {noError = false; error = 2;} - if (GetArea() < CMP_EPSILON) {noError = false; error = 3;} - - //Compute normals - b2Vec2* normals = new b2Vec2[nVertices]; - b2Vec2* vertices = new b2Vec2[nVertices]; - for (int32 i = 0; i < nVertices; ++i){ - vertices[i].Set(x[i],y[i]); - int32 i1 = i; - int32 i2 = i + 1 < nVertices ? i + 1 : 0; - b2Vec2 edge(x[i2]-x[i1],y[i2]-y[i1]); - normals[i] = b2Cross(edge, 1.0f); - normals[i].Normalize(); - } - - //Required side checks - for (int32 i=0; i<nVertices; ++i){ - int32 iminus = (i==0)?nVertices-1:i-1; - //int32 iplus = (i==nVertices-1)?0:i+1; - - //Parallel sides check - float32 cross = b2Cross(normals[iminus], normals[i]); - cross = b2Clamp(cross, -1.0f, 1.0f); - float32 angle = asinf(cross); - if(angle <= b2_angularSlop){ - noError = false; - error = 4; - break; - } - - //Too skinny check - for (int32 j=0; j<nVertices; ++j){ - if (j == i || j == (i + 1) % nVertices){ - continue; - } - float32 s = b2Dot(normals[i], vertices[j] - vertices[i]); - if (s >= -b2_linearSlop){ - noError = false; - error = 5; - } - } - - - b2Vec2 centroid = PolyCentroid(vertices,nVertices); - b2Vec2 n1 = normals[iminus]; - b2Vec2 n2 = normals[i]; - b2Vec2 v = vertices[i] - centroid; - - b2Vec2 d; - d.x = b2Dot(n1, v) - toiSlop; - d.y = b2Dot(n2, v) - toiSlop; - - // Shifting the edge inward by b2_toiSlop should - // not cause the plane to pass the centroid. - if ((d.x < 0.0f)||(d.y < 0.0f)){ - noError = false; - error = 6; - } - - } - delete[] vertices; - delete[] normals; - - if (!noError && printErrors){ - printf("Found invalid polygon, "); - switch(error){ - case 0: - printf("must have between 3 and %d vertices.\n",b2_maxPolygonVertices); - break; - case 1: - printf("must be convex.\n"); - break; - case 2: - printf("must be simple (cannot intersect itself).\n"); - break; - case 3: - printf("area is too small.\n"); - break; - case 4: - printf("sides are too close to parallel.\n"); - break; - case 5: - printf("polygon is too thin.\n"); - break; - case 6: - printf("core shape generation would move edge past centroid (too thin).\n"); - break; - default: - printf("don't know why.\n"); - } - } - return noError; -} - - -bool b2Polygon::IsUsable(){ - return IsUsable(B2_POLYGON_REPORT_ERRORS); -} - -//Check for edge crossings -bool b2Polygon::IsSimple() { - for (int32 i=0; i<nVertices; ++i){ - int32 iplus = (i+1 > nVertices-1)?0:i+1; - b2Vec2 a1(x[i],y[i]); - b2Vec2 a2(x[iplus],y[iplus]); - for (int32 j=i+1; j<nVertices; ++j){ - int32 jplus = (j+1 > nVertices-1)?0:j+1; - b2Vec2 b1(x[j],y[j]); - b2Vec2 b2(x[jplus],y[jplus]); - if (intersect(a1,a2,b1,b2)){ - return false; - } - } - } - return true; -} - - /* - * Tries to add a triangle to the polygon. Returns null if it can't connect - * properly, otherwise returns a pointer to the new Polygon. Assumes bitwise - * equality of joined vertex positions. - * - * Remember to delete the pointer afterwards. - * Todo: Make this return a b2Polygon instead - * of a pointer to a heap-allocated one. - * - * For internal use. - */ -b2Polygon* b2Polygon::Add(b2Triangle& t) { - // First, find vertices that connect - int32 firstP = -1; - int32 firstT = -1; - int32 secondP = -1; - int32 secondT = -1; - for (int32 i = 0; i < nVertices; i++) { - if (t.x[0] == x[i] && t.y[0] == y[i]) { - if (firstP == -1) { - firstP = i; - firstT = 0; - } - else { - secondP = i; - secondT = 0; - } - } - else if (t.x[1] == x[i] && t.y[1] == y[i]) { - if (firstP == -1) { - firstP = i; - firstT = 1; - } - else { - secondP = i; - secondT = 1; - } - } - else if (t.x[2] == x[i] && t.y[2] == y[i]) { - if (firstP == -1) { - firstP = i; - firstT = 2; - } - else { - secondP = i; - secondT = 2; - } - } - else { - } - } - // Fix ordering if first should be last vertex of poly - if (firstP == 0 && secondP == nVertices - 1) { - firstP = nVertices - 1; - secondP = 0; - } - - // Didn't find it - if (secondP == -1) { - return NULL; - } - - // Find tip index on triangle - int32 tipT = 0; - if (tipT == firstT || tipT == secondT) - tipT = 1; - if (tipT == firstT || tipT == secondT) - tipT = 2; - - float32* newx = new float[nVertices + 1]; - float32* newy = new float[nVertices + 1]; - int32 currOut = 0; - for (int32 i = 0; i < nVertices; i++) { - newx[currOut] = x[i]; - newy[currOut] = y[i]; - if (i == firstP) { - ++currOut; - newx[currOut] = t.x[tipT]; - newy[currOut] = t.y[tipT]; - } - ++currOut; - } - b2Polygon* result = new b2Polygon(newx, newy, nVertices+1); - delete[] newx; - delete[] newy; - return result; -} - - /** - * Adds this polygon to a PolyDef. - */ -#if 0 -void b2Polygon::AddTo(b2FixtureDef& pd) { - if (nVertices < 3) return; - - b2Assert(nVertices <= b2_maxPolygonVertices); - - b2Vec2* vecs = GetVertexVecs(); - b2Vec2* vecsToAdd = new b2Vec2[nVertices]; - - int32 offset = 0; - - b2PolygonShape *polyShape = new b2PolygonShape; - int32 ind; - - for (int32 i = 0; i < nVertices; ++i) { - - //Omit identical neighbors (including wraparound) - ind = i - offset; - if (vecs[i].x==vecs[remainder(i+1,nVertices)].x && - vecs[i].y==vecs[remainder(i+1,nVertices)].y){ - offset++; - continue; - } - - vecsToAdd[ind] = vecs[i]; - - } - - polyShape->Set((const b2Vec2*)vecsToAdd, ind+1); - pd.shape = polyShape; - - delete[] vecs; - delete[] vecsToAdd; -} -#endif - /** - * Finds and fixes "pinch points," points where two polygon - * vertices are at the same point. - * - * If a pinch point is found, pin is broken up into poutA and poutB - * and true is returned; otherwise, returns false. - * - * Mostly for internal use. - */ -bool ResolvePinchPoint(const b2Polygon& pin, b2Polygon& poutA, b2Polygon& poutB){ - if (pin.nVertices < 3) return false; - float32 tol = .001f; - bool hasPinchPoint = false; - int32 pinchIndexA = -1; - int32 pinchIndexB = -1; - for (int i=0; i<pin.nVertices; ++i){ - for (int j=i+1; j<pin.nVertices; ++j){ - //Don't worry about pinch points where the points - //are actually just dupe neighbors - if (b2Abs(pin.x[i]-pin.x[j])<tol&&b2Abs(pin.y[i]-pin.y[j])<tol&&j!=i+1){ - pinchIndexA = i; - pinchIndexB = j; - //printf("pinch: %f, %f == %f, %f\n",pin.x[i],pin.y[i],pin.x[j],pin.y[j]); - //printf("at indexes %d, %d\n",i,j); - hasPinchPoint = true; - break; - } - } - if (hasPinchPoint) break; - } - if (hasPinchPoint){ - //printf("Found pinch point\n"); - int32 sizeA = pinchIndexB - pinchIndexA; - if (sizeA == pin.nVertices) return false;//has dupe points at wraparound, not a problem here - float32* xA = new float32[sizeA]; - float32* yA = new float32[sizeA]; - for (int32 i=0; i < sizeA; ++i){ - int32 ind = remainder(pinchIndexA+i,pin.nVertices); - xA[i] = pin.x[ind]; - yA[i] = pin.y[ind]; - } - b2Polygon tempA(xA,yA,sizeA); - poutA.Set(tempA); - delete[] xA; - delete[] yA; - - int32 sizeB = pin.nVertices - sizeA; - float32* xB = new float32[sizeB]; - float32* yB = new float32[sizeB]; - for (int32 i=0; i<sizeB; ++i){ - int32 ind = remainder(pinchIndexB+i,pin.nVertices); - xB[i] = pin.x[ind]; - yB[i] = pin.y[ind]; - } - b2Polygon tempB(xB,yB,sizeB); - poutB.Set(tempB); - //printf("Size of a: %d, size of b: %d\n",sizeA,sizeB); - delete[] xB; - delete[] yB; - } - return hasPinchPoint; -} - - /** - * Triangulates a polygon using simple ear-clipping algorithm. Returns - * size of Triangle array unless the polygon can't be triangulated. - * This should only happen if the polygon self-intersects, - * though it will not _always_ return null for a bad polygon - it is the - * caller's responsibility to check for self-intersection, and if it - * doesn't, it should at least check that the return value is non-null - * before using. You're warned! - * - * Triangles may be degenerate, especially if you have identical points - * in the input to the algorithm. Check this before you use them. - * - * This is totally unoptimized, so for large polygons it should not be part - * of the simulation loop. - * - * Returns: - * -1 if algorithm fails (self-intersection most likely) - * 0 if there are not enough vertices to triangulate anything. - * Number of triangles if triangulation was successful. - * - * results will be filled with results - ear clipping always creates vNum - 2 - * or fewer (due to pinch point polygon snipping), so allocate an array of - * this size. - */ - -int32 TriangulatePolygon(float32* xv, float32* yv, int32 vNum, b2Triangle* results) { - if (vNum < 3) - return 0; - - //Recurse and split on pinch points - b2Polygon pA,pB; - b2Polygon pin(xv,yv,vNum); - if (ResolvePinchPoint(pin,pA,pB)){ - b2Triangle* mergeA = new b2Triangle[pA.nVertices]; - b2Triangle* mergeB = new b2Triangle[pB.nVertices]; - int32 nA = TriangulatePolygon(pA.x,pA.y,pA.nVertices,mergeA); - int32 nB = TriangulatePolygon(pB.x,pB.y,pB.nVertices,mergeB); - if (nA==-1 || nB==-1){ - delete[] mergeA; - delete[] mergeB; - return -1; - } - for (int32 i=0; i<nA; ++i){ - results[i].Set(mergeA[i]); - } - for (int32 i=0; i<nB; ++i){ - results[nA+i].Set(mergeB[i]); - } - delete[] mergeA; - delete[] mergeB; - return (nA+nB); - } - - b2Triangle* buffer = new b2Triangle[vNum-2]; - int32 bufferSize = 0; - float32* xrem = new float32[vNum]; - float32* yrem = new float32[vNum]; - for (int32 i = 0; i < vNum; ++i) { - xrem[i] = xv[i]; - yrem[i] = yv[i]; - } - - int xremLength = vNum; - - while (vNum > 3) { - // Find an ear - int32 earIndex = -1; - //float32 earVolume = -1.0f; - float32 earMaxMinCross = -10.0f; - for (int32 i = 0; i < vNum; ++i) { - if (IsEar(i, xrem, yrem, vNum)) { - int32 lower = remainder(i-1,vNum); - int32 upper = remainder(i+1,vNum); - b2Vec2 d1(xrem[upper]-xrem[i],yrem[upper]-yrem[i]); - b2Vec2 d2(xrem[i]-xrem[lower],yrem[i]-yrem[lower]); - b2Vec2 d3(xrem[lower]-xrem[upper],yrem[lower]-yrem[upper]); - - d1.Normalize(); - d2.Normalize(); - d3.Normalize(); - float32 cross12 = b2Abs( b2Cross(d1,d2) ); - float32 cross23 = b2Abs( b2Cross(d2,d3) ); - float32 cross31 = b2Abs( b2Cross(d3,d1) ); - //Find the maximum minimum angle - float32 minCross = b2Min(cross12, b2Min(cross23,cross31)); - if (minCross > earMaxMinCross){ - earIndex = i; - earMaxMinCross = minCross; - } - - /*//This bit chooses the ear with greatest volume first - float32 testVol = b2Abs( d1.x*d2.y-d2.x*d1.y ); - if (testVol > earVolume){ - earIndex = i; - earVolume = testVol; - }*/ - } - } - - // If we still haven't found an ear, we're screwed. - // Note: sometimes this is happening because the - // remaining points are collinear. Really these - // should just be thrown out without halting triangulation. - if (earIndex == -1){ - if (B2_POLYGON_REPORT_ERRORS){ - b2Polygon dump(xrem,yrem,vNum); - printf("Couldn't find an ear, dumping remaining poly:\n"); - dump.printFormatted(); - printf("Please submit this dump to ewjordan at Box2d forums\n"); - } - for (int32 i = 0; i < bufferSize; i++) { - results[i].Set(buffer[i]); - } - - delete[] buffer; - - if (bufferSize > 0) return bufferSize; - else return -1; - } - - // Clip off the ear: - // - remove the ear tip from the list - - --vNum; - float32* newx = new float32[vNum]; - float32* newy = new float32[vNum]; - int32 currDest = 0; - for (int32 i = 0; i < vNum; ++i) { - if (currDest == earIndex) ++currDest; - newx[i] = xrem[currDest]; - newy[i] = yrem[currDest]; - ++currDest; - } - - // - add the clipped triangle to the triangle list - int32 under = (earIndex == 0) ? (vNum) : (earIndex - 1); - int32 over = (earIndex == vNum) ? 0 : (earIndex + 1); - b2Triangle toAdd = b2Triangle(xrem[earIndex], yrem[earIndex], xrem[over], yrem[over], xrem[under], yrem[under]); - buffer[bufferSize].Set(toAdd); - ++bufferSize; - - // - replace the old list with the new one - delete[] xrem; - delete[] yrem; - xrem = newx; - yrem = newy; - } - - b2Triangle toAdd = b2Triangle(xrem[1], yrem[1], xrem[2], yrem[2], - xrem[0], yrem[0]); - buffer[bufferSize].Set(toAdd); - ++bufferSize; - - delete[] xrem; - delete[] yrem; - - b2Assert(bufferSize == xremLength-2); - - for (int32 i = 0; i < bufferSize; i++) { - results[i].Set(buffer[i]); - } - - delete[] buffer; - - return bufferSize; -} - - /** - * Turns a list of triangles into a list of convex polygons. Very simple - * method - start with a seed triangle, keep adding triangles to it until - * you can't add any more without making the polygon non-convex. - * - * Returns an integer telling how many polygons were created. Will fill - * polys array up to polysLength entries, which may be smaller or larger - * than the return value. - * - * Takes O(N*P) where P is the number of resultant polygons, N is triangle - * count. - * - * The final polygon list will not necessarily be minimal, though in - * practice it works fairly well. - */ -int32 PolygonizeTriangles(b2Triangle* triangulated, int32 triangulatedLength, b2Polygon* polys, int32 polysLength) { - int32 polyIndex = 0; - - if (triangulatedLength <= 0) { - return 0; - } - else { - int* covered = new int[triangulatedLength]; - for (int32 i = 0; i < triangulatedLength; ++i) { - covered[i] = 0; - //Check here for degenerate triangles - if ( ( (triangulated[i].x[0] == triangulated[i].x[1]) && (triangulated[i].y[0] == triangulated[i].y[1]) ) - || ( (triangulated[i].x[1] == triangulated[i].x[2]) && (triangulated[i].y[1] == triangulated[i].y[2]) ) - || ( (triangulated[i].x[0] == triangulated[i].x[2]) && (triangulated[i].y[0] == triangulated[i].y[2]) ) ) { - covered[i] = 1; - } - } - - bool notDone = true; - while (notDone) { - int32 currTri = -1; - for (int32 i = 0; i < triangulatedLength; ++i) { - if (covered[i]) - continue; - currTri = i; - break; - } - if (currTri == -1) { - notDone = false; - } - else { - b2Polygon poly(triangulated[currTri]); - covered[currTri] = 1; - int32 index = 0; - for (int32 i = 0; i < 2*triangulatedLength; ++i,++index) { - while (index >= triangulatedLength) index -= triangulatedLength; - if (covered[index]) { - continue; - } - b2Polygon* newP = poly.Add(triangulated[index]); - if (!newP) { - continue; - } - if (newP->nVertices > b2Polygon::maxVerticesPerPolygon) { - delete newP; - newP = NULL; - continue; - } - if (newP->IsConvex()) { //Or should it be IsUsable? Maybe re-write IsConvex to apply the angle threshold from Box2d - poly.Set(*newP); - delete newP; - newP = NULL; - covered[index] = 1; - } else { - delete newP; - newP = NULL; - } - } - if (polyIndex < polysLength){ - poly.MergeParallelEdges(b2_angularSlop); - //If identical points are present, a triangle gets - //borked by the MergeParallelEdges function, hence - //the vertex number check - if (poly.nVertices >= 3) polys[polyIndex].Set(poly); - //else printf("Skipping corrupt poly\n"); - } - if (poly.nVertices >= 3) polyIndex++; //Must be outside (polyIndex < polysLength) test - } - //printf("MEMCHECK: %d\n",_CrtCheckMemory()); - } - delete[] covered; - } - return polyIndex; -} - - /** - * Checks if vertex i is the tip of an ear in polygon defined by xv[] and - * yv[]. - * - * Assumes clockwise orientation of polygon...ick - */ -bool IsEar(int32 i, float32* xv, float32* yv, int32 xvLength) { - float32 dx0, dy0, dx1, dy1; - dx0 = dy0 = dx1 = dy1 = 0; - if (i >= xvLength || i < 0 || xvLength < 3) { - return false; - } - int32 upper = i + 1; - int32 lower = i - 1; - if (i == 0) { - dx0 = xv[0] - xv[xvLength - 1]; - dy0 = yv[0] - yv[xvLength - 1]; - dx1 = xv[1] - xv[0]; - dy1 = yv[1] - yv[0]; - lower = xvLength - 1; - } - else if (i == xvLength - 1) { - dx0 = xv[i] - xv[i - 1]; - dy0 = yv[i] - yv[i - 1]; - dx1 = xv[0] - xv[i]; - dy1 = yv[0] - yv[i]; - upper = 0; - } - else { - dx0 = xv[i] - xv[i - 1]; - dy0 = yv[i] - yv[i - 1]; - dx1 = xv[i + 1] - xv[i]; - dy1 = yv[i + 1] - yv[i]; - } - float32 cross = dx0 * dy1 - dx1 * dy0; - if (cross > 0) - return false; - b2Triangle myTri(xv[i], yv[i], xv[upper], yv[upper], - xv[lower], yv[lower]); - for (int32 j = 0; j < xvLength; ++j) { - if (j == i || j == lower || j == upper) - continue; - if (myTri.IsInside(xv[j], yv[j])) - return false; - } - return true; -} - -void ReversePolygon(b2Polygon& p){ - ReversePolygon(p.x,p.y,p.nVertices); -} - -void ReversePolygon(float* x, float* y, int n) { - if (n == 1) - return; - int32 low = 0; - int32 high = n - 1; - while (low < high) { - float32 buffer = x[low]; - x[low] = x[high]; - x[high] = buffer; - buffer = y[low]; - y[low] = y[high]; - y[high] = buffer; - ++low; - --high; - } -} - - /** - * Decomposes a non-convex polygon into a number of convex polygons, up - * to maxPolys (remaining pieces are thrown out, but the total number - * is returned, so the return value can be greater than maxPolys). - * - * Each resulting polygon will have no more than maxVerticesPerPolygon - * vertices (set to b2MaxPolyVertices by default, though you can change - * this). - * - * Returns -1 if operation fails (usually due to self-intersection of - * polygon). - */ -int32 DecomposeConvex(b2Polygon* p, b2Polygon* results, int32 maxPolys) { - if (p->nVertices < 3) return 0; - - b2Triangle* triangulated = new b2Triangle[p->nVertices - 2]; - int32 nTri; - if (p->IsCCW()) { - //printf("It is ccw \n"); - b2Polygon tempP; - tempP.Set(*p); - ReversePolygon(tempP.x, tempP.y, tempP.nVertices); - nTri = TriangulatePolygon(tempP.x, tempP.y, tempP.nVertices, triangulated); - //ReversePolygon(p->x, p->y, p->nVertices); //reset orientation - } else { - //printf("It is not ccw \n"); - nTri = TriangulatePolygon(p->x, p->y, p->nVertices, triangulated); - } - if (nTri < 1) { - //Still no luck? Oh well... - delete[] triangulated; - return -1; - } - int32 nPolys = PolygonizeTriangles(triangulated, nTri, results, maxPolys); - delete[] triangulated; - return nPolys; -} - - /** - * Decomposes a polygon into convex polygons and adds all pieces to a b2BodyDef - * using a prototype b2PolyDef. All fields of the prototype are used for every - * shape except the vertices (friction, restitution, density, etc). - * - * If you want finer control, you'll have to add everything by hand. - * - * This is the simplest method to add a complicated polygon to a body. - * - * Until Box2D's b2BodyDef behavior changes, this method returns a pointer to - * a heap-allocated array of b2PolyDefs, which must be deleted by the user - * after the b2BodyDef is added to the world. - */ -#if 0 -void DecomposeConvexAndAddTo(b2Polygon* p, b2Body* bd, b2FixtureDef* prototype) { - - if (p->nVertices < 3) return; - b2Polygon* decomposed = new b2Polygon[p->nVertices - 2]; //maximum number of polys - int32 nPolys = DecomposeConvex(p, decomposed, p->nVertices - 2); - //printf("npolys: %d",nPolys); - b2FixtureDef* pdarray = new b2FixtureDef[2*p->nVertices];//extra space in case of splits - int32 extra = 0; - for (int32 i = 0; i < nPolys; ++i) { - b2FixtureDef* toAdd = &pdarray[i+extra]; - *toAdd = *prototype; - //Hmm, shouldn't have to do all this... - /* - toAdd->type = prototype->type; - toAdd->friction = prototype->friction; - toAdd->restitution = prototype->restitution; - toAdd->density = prototype->density; - toAdd->userData = prototype->userData; - toAdd->categoryBits = prototype->categoryBits; - toAdd->maskBits = prototype->maskBits; - toAdd->groupIndex = prototype->groupIndex;//*/ - //decomposed[i].print(); - b2Polygon curr = decomposed[i]; - //TODO ewjordan: move this triangle handling to a better place so that - //it happens even if this convenience function is not called. - if (curr.nVertices == 3){ - //Check here for near-parallel edges, since we can't - //handle this in merge routine - for (int j=0; j<3; ++j){ - int32 lower = (j == 0) ? (curr.nVertices - 1) : (j - 1); - int32 middle = j; - int32 upper = (j == curr.nVertices - 1) ? (0) : (j + 1); - float32 dx0 = curr.x[middle] - curr.x[lower]; float32 dy0 = curr.y[middle] - curr.y[lower]; - float32 dx1 = curr.x[upper] - curr.x[middle]; float32 dy1 = curr.y[upper] - curr.y[middle]; - float32 norm0 = sqrtf(dx0*dx0+dy0*dy0); float32 norm1 = sqrtf(dx1*dx1+dy1*dy1); - if ( !(norm0 > 0.0f && norm1 > 0.0f) ) { - //Identical points, don't do anything! - goto Skip; - } - dx0 /= norm0; dy0 /= norm0; - dx1 /= norm1; dy1 /= norm1; - float32 cross = dx0 * dy1 - dx1 * dy0; - float32 dot = dx0*dx1 + dy0*dy1; - if (fabs(cross) < b2_angularSlop && dot > 0) { - //Angle too close, split the triangle across from this point. - //This is guaranteed to result in two triangles that satify - //the tolerance (one of the angles is 90 degrees) - float32 dx2 = curr.x[lower] - curr.x[upper]; float32 dy2 = curr.y[lower] - curr.y[upper]; - float32 norm2 = sqrtf(dx2*dx2+dy2*dy2); - if (norm2 == 0.0f) { - goto Skip; - } - dx2 /= norm2; dy2 /= norm2; - float32 thisArea = curr.GetArea(); - float32 thisHeight = 2.0f * thisArea / norm2; - float32 buffer2 = dx2; - dx2 = dy2; dy2 = -buffer2; - //Make two new polygons - //printf("dx2: %f, dy2: %f, thisHeight: %f, middle: %d\n",dx2,dy2,thisHeight,middle); - float32 newX1[3] = { curr.x[middle]+dx2*thisHeight, curr.x[lower], curr.x[middle] }; - float32 newY1[3] = { curr.y[middle]+dy2*thisHeight, curr.y[lower], curr.y[middle] }; - float32 newX2[3] = { newX1[0], curr.x[middle], curr.x[upper] }; - float32 newY2[3] = { newY1[0], curr.y[middle], curr.y[upper] }; - b2Polygon p1(newX1,newY1,3); - b2Polygon p2(newX2,newY2,3); - if (p1.IsUsable()){ - p1.AddTo(*toAdd); - - - bd->CreateFixture(toAdd); - ++extra; - } else if (B2_POLYGON_REPORT_ERRORS){ - printf("Didn't add unusable polygon. Dumping vertices:\n"); - p1.print(); - } - if (p2.IsUsable()){ - p2.AddTo(pdarray[i+extra]); - - bd->CreateFixture(toAdd); - } else if (B2_POLYGON_REPORT_ERRORS){ - printf("Didn't add unusable polygon. Dumping vertices:\n"); - p2.print(); - } - goto Skip; - } - } - - } - if (decomposed[i].IsUsable()){ - decomposed[i].AddTo(*toAdd); - - bd->CreateFixture((const b2FixtureDef*)toAdd); - } else if (B2_POLYGON_REPORT_ERRORS){ - printf("Didn't add unusable polygon. Dumping vertices:\n"); - decomposed[i].print(); - } -Skip: - ; - } - delete[] pdarray; - delete[] decomposed; - return;// pdarray; //needs to be deleted after body is created -} - -#endif - /** - * Find the convex hull of a point cloud using "Gift-wrap" algorithm - start - * with an extremal point, and walk around the outside edge by testing - * angles. - * - * Runs in O(N*S) time where S is number of sides of resulting polygon. - * Worst case: point cloud is all vertices of convex polygon -> O(N^2). - * - * There may be faster algorithms to do this, should you need one - - * this is just the simplest. You can get O(N log N) expected time if you - * try, I think, and O(N) if you restrict inputs to simple polygons. - * - * Returns null if number of vertices passed is less than 3. - * - * Results should be passed through convex decomposition afterwards - * to ensure that each shape has few enough points to be used in Box2d. - * - * FIXME?: May be buggy with colinear points on hull. Couldn't find a test - * case that resulted in wrong behavior. If one turns up, the solution is to - * supplement angle check with an equality resolver that always picks the - * longer edge. I think the current solution is working, though it sometimes - * creates an extra edge along a line. - */ - -b2Polygon ConvexHull(b2Vec2* v, int nVert) { - float32* cloudX = new float32[nVert]; - float32* cloudY = new float32[nVert]; - for (int32 i = 0; i < nVert; ++i) { - cloudX[i] = v[i].x; - cloudY[i] = v[i].y; - } - b2Polygon result = ConvexHull(cloudX, cloudY, nVert); - delete[] cloudX; - delete[] cloudY; - return result; -} - -b2Polygon ConvexHull(float32* cloudX, float32* cloudY, int32 nVert) { - b2Assert(nVert > 2); - int32* edgeList = new int32[nVert]; - int32 numEdges = 0; - - float32 minY = 1e10; - int32 minYIndex = nVert; - for (int32 i = 0; i < nVert; ++i) { - if (cloudY[i] < minY) { - minY = cloudY[i]; - minYIndex = i; - } - } - - int32 startIndex = minYIndex; - int32 winIndex = -1; - float32 dx = -1.0f; - float32 dy = 0.0f; - while (winIndex != minYIndex) { - float32 newdx = 0.0f; - float32 newdy = 0.0f; - float32 maxDot = -2.0f; - for (int32 i = 0; i < nVert; ++i) { - if (i == startIndex) - continue; - newdx = cloudX[i] - cloudX[startIndex]; - newdy = cloudY[i] - cloudY[startIndex]; - float32 nrm = sqrtf(newdx * newdx + newdy * newdy); - nrm = (nrm == 0.0f) ? 1.0f : nrm; - newdx /= nrm; - newdy /= nrm; - - //Cross and dot products act as proxy for angle - //without requiring inverse trig. - //FIXED: don't need cross test - //float32 newCross = newdx * dy - newdy * dx; - float32 newDot = newdx * dx + newdy * dy; - if (newDot > maxDot) {//newCross >= 0.0f && newDot > maxDot) { - maxDot = newDot; - winIndex = i; - } - } - edgeList[numEdges++] = winIndex; - dx = cloudX[winIndex] - cloudX[startIndex]; - dy = cloudY[winIndex] - cloudY[startIndex]; - float32 nrm = sqrtf(dx * dx + dy * dy); - nrm = (nrm == 0.0f) ? 1.0f : nrm; - dx /= nrm; - dy /= nrm; - startIndex = winIndex; - } - - float32* xres = new float32[numEdges]; - float32* yres = new float32[numEdges]; - for (int32 i = 0; i < numEdges; i++) { - xres[i] = cloudX[edgeList[i]]; - yres[i] = cloudY[edgeList[i]]; - //("%f, %f\n",xres[i],yres[i]); - } - - b2Polygon returnVal(xres, yres, numEdges); - - delete[] xres; - delete[] yres; - delete[] edgeList; - returnVal.MergeParallelEdges(b2_angularSlop); - return returnVal; -} - - -/* - * Given sines and cosines, tells if A's angle is less than B's on -Pi, Pi - * (in other words, is A "righter" than B) - */ -bool IsRighter(float32 sinA, float32 cosA, float32 sinB, float32 cosB){ - if (sinA < 0){ - if (sinB > 0 || cosA <= cosB) return true; - else return false; - } else { - if (sinB < 0 || cosA <= cosB) return false; - else return true; - } -} - -//Fix for obnoxious behavior for the % operator for negative numbers... -int32 remainder(int32 x, int32 modulus){ - int32 rem = x % modulus; - while (rem < 0){ - rem += modulus; - } - return rem; -} - -/* -Method: -Start at vertex with minimum y (pick maximum x one if there are two). -We aim our "lastDir" vector at (1.0, 0) -We look at the two rays going off from our start vertex, and follow whichever -has the smallest angle (in -Pi -> Pi) wrt lastDir ("rightest" turn) - -Loop until we hit starting vertex: - -We add our current vertex to the list. -We check the seg from current vertex to next vertex for intersections - - if no intersections, follow to next vertex and continue - - if intersections, pick one with minimum distance - - if more than one, pick one with "rightest" next point (two possibilities for each) - -*/ - -b2Polygon TraceEdge(b2Polygon* p){ - b2PolyNode* nodes = new b2PolyNode[p->nVertices*p->nVertices];//overkill, but sufficient (order of mag. is right) - int32 nNodes = 0; - - //Add base nodes (raw outline) - for (int32 i=0; i < p->nVertices; ++i){ - b2Vec2 pos(p->x[i],p->y[i]); - nodes[i].position = pos; - ++nNodes; - int32 iplus = (i==p->nVertices-1)?0:i+1; - int32 iminus = (i==0)?p->nVertices-1:i-1; - nodes[i].AddConnection(nodes[iplus]); - nodes[i].AddConnection(nodes[iminus]); - } - - //Process intersection nodes - horribly inefficient - bool dirty = true; - int counter = 0; - while (dirty){ - dirty = false; - for (int32 i=0; i < nNodes; ++i){ - for (int32 j=0; j < nodes[i].nConnected; ++j){ - for (int32 k=0; k < nNodes; ++k){ - if (k==i || &nodes[k] == nodes[i].connected[j]) continue; - for (int32 l=0; l < nodes[k].nConnected; ++l){ - - if ( nodes[k].connected[l] == nodes[i].connected[j] || - nodes[k].connected[l] == &nodes[i]) continue; - //Check intersection - b2Vec2 intersectPt; - //if (counter > 100) printf("checking intersection: %d, %d, %d, %d\n",i,j,k,l); - bool crosses = intersect(nodes[i].position,nodes[i].connected[j]->position, - nodes[k].position,nodes[k].connected[l]->position, - intersectPt); - if (crosses){ - /*if (counter > 100) { - printf("Found crossing at %f, %f\n",intersectPt.x, intersectPt.y); - printf("Locations: %f,%f - %f,%f | %f,%f - %f,%f\n", - nodes[i].position.x, nodes[i].position.y, - nodes[i].connected[j]->position.x, nodes[i].connected[j]->position.y, - nodes[k].position.x,nodes[k].position.y, - nodes[k].connected[l]->position.x,nodes[k].connected[l]->position.y); - printf("Memory addresses: %d, %d, %d, %d\n",(int)&nodes[i],(int)nodes[i].connected[j],(int)&nodes[k],(int)nodes[k].connected[l]); - }*/ - dirty = true; - //Destroy and re-hook connections at crossing point - b2PolyNode* connj = nodes[i].connected[j]; - b2PolyNode* connl = nodes[k].connected[l]; - nodes[i].connected[j]->RemoveConnection(nodes[i]); - nodes[i].RemoveConnection(*connj); - nodes[k].connected[l]->RemoveConnection(nodes[k]); - nodes[k].RemoveConnection(*connl); - nodes[nNodes] = b2PolyNode(intersectPt); - nodes[nNodes].AddConnection(nodes[i]); - nodes[i].AddConnection(nodes[nNodes]); - nodes[nNodes].AddConnection(nodes[k]); - nodes[k].AddConnection(nodes[nNodes]); - nodes[nNodes].AddConnection(*connj); - connj->AddConnection(nodes[nNodes]); - nodes[nNodes].AddConnection(*connl); - connl->AddConnection(nodes[nNodes]); - ++nNodes; - goto SkipOut; - } - } - } - } - } - SkipOut: - ++counter; - //if (counter > 100) printf("Counter: %d\n",counter); - } - - /* - // Debugging: check for connection consistency - for (int32 i=0; i<nNodes; ++i) { - int32 nConn = nodes[i].nConnected; - for (int32 j=0; j<nConn; ++j) { - if (nodes[i].connected[j]->nConnected == 0) b2Assert(false); - b2PolyNode* connect = nodes[i].connected[j]; - bool found = false; - for (int32 k=0; k<connect->nConnected; ++k) { - if (connect->connected[k] == &nodes[i]) found = true; - } - b2Assert(found); - } - }*/ - - //Collapse duplicate points - bool foundDupe = true; - int nActive = nNodes; - while (foundDupe){ - foundDupe = false; - for (int32 i=0; i < nNodes; ++i){ - if (nodes[i].nConnected == 0) continue; - for (int32 j=i+1; j < nNodes; ++j){ - if (nodes[j].nConnected == 0) continue; - b2Vec2 diff = nodes[i].position - nodes[j].position; - if (diff.LengthSquared() <= COLLAPSE_DIST_SQR){ - if (nActive <= 3) { - // -- GODOT start -- - delete[] nodes; - // -- GODOT end -- - return b2Polygon(); - } - //printf("Found dupe, %d left\n",nActive); - --nActive; - foundDupe = true; - b2PolyNode* inode = &nodes[i]; - b2PolyNode* jnode = &nodes[j]; - //Move all of j's connections to i, and orphan j - int32 njConn = jnode->nConnected; - for (int32 k=0; k < njConn; ++k){ - b2PolyNode* knode = jnode->connected[k]; - b2Assert(knode != jnode); - if (knode != inode) { - inode->AddConnection(*knode); - knode->AddConnection(*inode); - } - knode->RemoveConnection(*jnode); - //printf("knode %d on node %d now has %d connections\n",k,j,knode->nConnected); - //printf("Found duplicate point.\n"); - } - /* - printf("Orphaning node at address %d\n",(int)jnode); - for (int32 k=0; k<njConn; ++k) { - if (jnode->connected[k]->IsConnectedTo(*jnode)) printf("Problem!!!\n"); - } - for (int32 k=0; k < njConn; ++k){ - jnode->RemoveConnectionByIndex(k); - } - */ - jnode->nConnected = 0; - } - } - } - } - - /* - // Debugging: check for connection consistency - for (int32 i=0; i<nNodes; ++i) { - int32 nConn = nodes[i].nConnected; - printf("Node %d has %d connections\n",i,nConn); - for (int32 j=0; j<nConn; ++j) { - if (nodes[i].connected[j]->nConnected == 0) { - printf("Problem with node %d connection at address %d\n",i,(int)(nodes[i].connected[j])); - b2Assert(false); - } - b2PolyNode* connect = nodes[i].connected[j]; - bool found = false; - for (int32 k=0; k<connect->nConnected; ++k) { - if (connect->connected[k] == &nodes[i]) found = true; - } - if (!found) printf("Connection %d (of %d) on node %d (of %d) did not have reciprocal connection.\n",j,nConn,i,nNodes); - b2Assert(found); - } - }//*/ - - //Now walk the edge of the list - - //Find node with minimum y value (max x if equal) - float32 minY = 1e10; - float32 maxX = -1e10; - int32 minYIndex = -1; - for (int32 i = 0; i < nNodes; ++i) { - if (nodes[i].position.y < minY && nodes[i].nConnected > 1) { - minY = nodes[i].position.y; - minYIndex = i; - maxX = nodes[i].position.x; - } else if (nodes[i].position.y == minY && nodes[i].position.x > maxX && nodes[i].nConnected > 1) { - minYIndex = i; - maxX = nodes[i].position.x; - } - } - - b2Vec2 origDir(1.0f,0.0f); - b2Vec2* resultVecs = new b2Vec2[4*nNodes];// nodes may be visited more than once, unfortunately - change to growable array! - int32 nResultVecs = 0; - b2PolyNode* currentNode = &nodes[minYIndex]; - b2PolyNode* startNode = currentNode; - b2Assert(currentNode->nConnected > 0); - b2PolyNode* nextNode = currentNode->GetRightestConnection(origDir); - if (!nextNode) goto CleanUp; // Borked, clean up our mess and return - resultVecs[0] = startNode->position; - ++nResultVecs; - while (nextNode != startNode){ - if (nResultVecs > 4*nNodes){ - /* - printf("%d, %d, %d\n",(int)startNode,(int)currentNode,(int)nextNode); - printf("%f, %f -> %f, %f\n",currentNode->position.x,currentNode->position.y, nextNode->position.x, nextNode->position.y); - p->printFormatted(); - printf("Dumping connection graph: \n"); - for (int32 i=0; i<nNodes; ++i) { - printf("nodex[%d] = %f; nodey[%d] = %f;\n",i,nodes[i].position.x,i,nodes[i].position.y); - printf("//connected to\n"); - for (int32 j=0; j<nodes[i].nConnected; ++j) { - printf("connx[%d][%d] = %f; conny[%d][%d] = %f;\n",i,j,nodes[i].connected[j]->position.x, i,j,nodes[i].connected[j]->position.y); - } - } - printf("Dumping results thus far: \n"); - for (int32 i=0; i<nResultVecs; ++i) { - printf("x[%d]=map(%f,-3,3,0,width); y[%d] = map(%f,-3,3,height,0);\n",i,resultVecs[i].x,i,resultVecs[i].y); - } - //*/ - b2Assert(false); //nodes should never be visited four times apiece (proof?), so we've probably hit a loop...crap - } - resultVecs[nResultVecs++] = nextNode->position; - b2PolyNode* oldNode = currentNode; - currentNode = nextNode; - //printf("Old node connections = %d; address %d\n",oldNode->nConnected, (int)oldNode); - //printf("Current node connections = %d; address %d\n",currentNode->nConnected, (int)currentNode); - nextNode = currentNode->GetRightestConnection(oldNode); - if (!nextNode) goto CleanUp; // There was a problem, so jump out of the loop and use whatever garbage we've generated so far - //printf("nextNode address: %d\n",(int)nextNode); - } - - CleanUp: - - float32* xres = new float32[nResultVecs]; - float32* yres = new float32[nResultVecs]; - for (int32 i=0; i<nResultVecs; ++i){ - xres[i] = resultVecs[i].x; - yres[i] = resultVecs[i].y; - } - b2Polygon retval(xres,yres,nResultVecs); - delete[] resultVecs; - delete[] yres; - delete[] xres; - delete[] nodes; - return retval; -} - -b2PolyNode::b2PolyNode(){ - nConnected = 0; - visited = false; -} -b2PolyNode::b2PolyNode(b2Vec2& pos){ - position = pos; - nConnected = 0; - visited = false; -} - -void b2PolyNode::AddConnection(b2PolyNode& toMe){ - b2Assert(nConnected < MAX_CONNECTED); - // Ignore duplicate additions - for (int32 i=0; i<nConnected; ++i) { - if (connected[i] == &toMe) return; - } - connected[nConnected] = &toMe; - ++nConnected; -} - -void b2PolyNode::RemoveConnection(b2PolyNode& fromMe){ - bool isFound = false; - int32 foundIndex = -1; - for (int32 i=0; i<nConnected; ++i){ - if (&fromMe == connected[i]) {//.position == connected[i]->position){ - isFound = true; - foundIndex = i; - break; - } - } - b2Assert(isFound); - --nConnected; - //printf("nConnected: %d\n",nConnected); - for (int32 i=foundIndex; i < nConnected; ++i){ - connected[i] = connected[i+1]; - } -} -void b2PolyNode::RemoveConnectionByIndex(int32 index){ - --nConnected; - //printf("New nConnected = %d\n",nConnected); - for (int32 i=index; i < nConnected; ++i){ - connected[i] = connected[i+1]; - } -} -bool b2PolyNode::IsConnectedTo(b2PolyNode& me){ - bool isFound = false; - for (int32 i=0; i<nConnected; ++i){ - if (&me == connected[i]) {//.position == connected[i]->position){ - isFound = true; - break; - } - } - return isFound; -} -b2PolyNode* b2PolyNode::GetRightestConnection(b2PolyNode* incoming){ - if (nConnected == 0) b2Assert(false); // This means the connection graph is inconsistent - if (nConnected == 1) { - //b2Assert(false); - // Because of the possibility of collapsing nearby points, - // we may end up with "spider legs" dangling off of a region. - // The correct behavior here is to turn around. - return incoming; - } - b2Vec2 inDir = position - incoming->position; - float32 inLength = inDir.Normalize(); - b2Assert(inLength > CMP_EPSILON); - - b2PolyNode* result = NULL; - for (int32 i=0; i<nConnected; ++i){ - if (connected[i] == incoming) continue; - b2Vec2 testDir = connected[i]->position - position; - float32 testLengthSqr = testDir.LengthSquared(); - testDir.Normalize(); - /* - if (testLengthSqr < COLLAPSE_DIST_SQR) { - printf("Problem with connection %d\n",i); - printf("This node has %d connections\n",nConnected); - printf("That one has %d\n",connected[i]->nConnected); - if (this == connected[i]) printf("This points at itself.\n"); - }*/ - b2Assert (testLengthSqr >= COLLAPSE_DIST_SQR); - float32 myCos = b2Dot(inDir,testDir); - float32 mySin = b2Cross(inDir,testDir); - if (result){ - b2Vec2 resultDir = result->position - position; - resultDir.Normalize(); - float32 resCos = b2Dot(inDir,resultDir); - float32 resSin = b2Cross(inDir,resultDir); - if (IsRighter(mySin,myCos,resSin,resCos)){ - result = connected[i]; - } - } else{ - result = connected[i]; - } - } - if (B2_POLYGON_REPORT_ERRORS && !result) { - printf("nConnected = %d\n",nConnected); - for (int32 i=0; i<nConnected; ++i) { - printf("connected[%d] @ %d\n",i,0);//(int)connected[i]); - } - } - b2Assert(result); - - return result; -} - -b2PolyNode* b2PolyNode::GetRightestConnection(b2Vec2& incomingDir){ - b2Vec2 diff = position-incomingDir; - b2PolyNode temp(diff); - b2PolyNode* res = GetRightestConnection(&temp); - b2Assert(res); - return res; -} -} diff --git a/thirdparty/b2d_convexdecomp/b2Polygon.h b/thirdparty/b2d_convexdecomp/b2Polygon.h deleted file mode 100644 index c466e28f7e..0000000000 --- a/thirdparty/b2d_convexdecomp/b2Polygon.h +++ /dev/null @@ -1,133 +0,0 @@ -/* - * Copyright (c) 2007 Eric Jordan - * - * This software is provided 'as-is', without any express or implied - * warranty. In no event will the authors be held liable for any damages - * arising from the use of this software. - * Permission is granted to anyone to use this software for any purpose, - * including commercial applications, and to alter it and redistribute it - * freely, subject to the following restrictions: - * 1. The origin of this software must not be misrepresented; you must not - * claim that you wrote the original software. If you use this software - * in a product, an acknowledgment in the product documentation would be - * appreciated but is not required. - * 2. Altered source versions must be plainly marked as such, and must not be - * misrepresented as being the original software. - * 3. This notice may not be removed or altered from any source distribution. - */ - -#ifndef B2_POLYGON_H -#define B2_POLYGON_H - -#include "b2Triangle.h" -#include "stdio.h" -#include <string.h> -#include <limits.h> -namespace b2ConvexDecomp { - -static bool B2_POLYGON_REPORT_ERRORS = false; - -class b2Polygon; - -int32 remainder(int32 x, int32 modulus); -int32 TriangulatePolygon(float32* xv, float32* yv, int32 vNum, b2Triangle* results); -bool IsEar(int32 i, float32* xv, float32* yv, int32 xvLength); //Not for external use -int32 PolygonizeTriangles(b2Triangle* triangulated, int32 triangulatedLength, b2Polygon* polys, int32 polysLength); -int32 DecomposeConvex(b2Polygon* p, b2Polygon* results, int32 maxPolys); -//void DecomposeConvexAndAddTo(b2Polygon* p, b2Body* bd, b2FixtureDef* prototype); - -void ReversePolygon(float32* x, float32* y, int n); - -b2Polygon TraceEdge(b2Polygon* p); //For use with self-intersecting polygons, finds outline - -class b2Polygon { - -public: - const static int32 maxVerticesPerPolygon = b2_maxPolygonVertices; - - float32* x; //vertex arrays - float32* y; - int32 nVertices; - - float32 area; - bool areaIsSet; - - b2Polygon(float32* _x, float32* _y, int32 nVert); - b2Polygon(b2Vec2* v, int32 nVert); - b2Polygon(); - ~b2Polygon(); - - float32 GetArea(); - - void MergeParallelEdges(float32 tolerance); - b2Vec2* GetVertexVecs(); - b2Polygon(b2Triangle& t); - void Set(const b2Polygon& p); - bool IsConvex(); - bool IsCCW(); - bool IsUsable(bool printError); - bool IsUsable(); - bool IsSimple(); - // void AddTo(b2FixtureDef& pd); - - b2Polygon* Add(b2Triangle& t); - - void print(){ - printFormatted(); - /* - for (int32 i=0; i<nVertices; ++i){ - printf("i: %d, x:%f, y:%f\n",i,x[i],y[i]); - } - */ - } - - void printFormatted(){ - printf("float xv[] = {"); - for (int32 i=0; i<nVertices; ++i){ - printf("%ff,",x[i]); - } - printf("};\nfloat yv[] = {"); - for (int32 i=0; i<nVertices; ++i){ - printf("%ff,",y[i]); - } - printf("};\n"); - } - - b2Polygon(const b2Polygon& p){ - nVertices = p.nVertices; - area = p.area; - areaIsSet = p.areaIsSet; - x = new float32[nVertices]; - y = new float32[nVertices]; - memcpy(x, p.x, nVertices * sizeof(float32)); - memcpy(y, p.y, nVertices * sizeof(float32)); - } - - -}; - -const int32 MAX_CONNECTED = 32; -const float32 COLLAPSE_DIST_SQR = CMP_EPSILON*CMP_EPSILON;//0.1f;//1000*CMP_EPSILON*1000*CMP_EPSILON; - -class b2PolyNode{ -public: - b2Vec2 position; - b2PolyNode* connected[MAX_CONNECTED]; - int32 nConnected; - bool visited; - - b2PolyNode(b2Vec2& pos); - b2PolyNode(); - void AddConnection(b2PolyNode& toMe); - void RemoveConnection(b2PolyNode& fromMe); - void RemoveConnectionByIndex(int32 index); - bool IsConnectedTo(b2PolyNode& me); - b2PolyNode* GetRightestConnection(b2PolyNode* incoming); - b2PolyNode* GetRightestConnection(b2Vec2& incomingDir); -}; - - -b2Polygon ConvexHull(b2Vec2* v, int nVert); -b2Polygon ConvexHull(float32* cloudX, float32* cloudY, int32 nVert); -} -#endif diff --git a/thirdparty/b2d_convexdecomp/b2Triangle.cpp b/thirdparty/b2d_convexdecomp/b2Triangle.cpp deleted file mode 100644 index a0a30b9407..0000000000 --- a/thirdparty/b2d_convexdecomp/b2Triangle.cpp +++ /dev/null @@ -1,82 +0,0 @@ -/* - * Copyright (c) 2007 Eric Jordan - * - * This software is provided 'as-is', without any express or implied - * warranty. In no event will the authors be held liable for any damages - * arising from the use of this software. - * Permission is granted to anyone to use this software for any purpose, - * including commercial applications, and to alter it and redistribute it - * freely, subject to the following restrictions: - * 1. The origin of this software must not be misrepresented; you must not - * claim that you wrote the original software. If you use this software - * in a product, an acknowledgment in the product documentation would be - * appreciated but is not required. - * 2. Altered source versions must be plainly marked as such, and must not be - * misrepresented as being the original software. - * 3. This notice may not be removed or altered from any source distribution. - */ - -#include "b2Triangle.h" - -namespace b2ConvexDecomp { - -//Constructor automatically fixes orientation to ccw -b2Triangle::b2Triangle(float32 x1, float32 y1, float32 x2, float32 y2, float32 x3, float32 y3){ - x = new float32[3]; - y = new float32[3]; - float32 dx1 = x2-x1; - float32 dx2 = x3-x1; - float32 dy1 = y2-y1; - float32 dy2 = y3-y1; - float32 cross = dx1*dy2-dx2*dy1; - bool ccw = (cross>0); - if (ccw){ - x[0] = x1; x[1] = x2; x[2] = x3; - y[0] = y1; y[1] = y2; y[2] = y3; - } else{ - x[0] = x1; x[1] = x3; x[2] = x2; - y[0] = y1; y[1] = y3; y[2] = y2; - } -} - -b2Triangle::b2Triangle(){ - x = new float32[3]; - y = new float32[3]; -} - -b2Triangle::~b2Triangle(){ - delete[] x; - delete[] y; -} - -void b2Triangle::Set(const b2Triangle& toMe) { - for (int32 i=0; i<3; ++i) { - x[i] = toMe.x[i]; - y[i] = toMe.y[i]; - } -} - -bool b2Triangle::IsInside(float32 _x, float32 _y){ - if (_x < x[0] && _x < x[1] && _x < x[2]) return false; - if (_x > x[0] && _x > x[1] && _x > x[2]) return false; - if (_y < y[0] && _y < y[1] && _y < y[2]) return false; - if (_y > y[0] && _y > y[1] && _y > y[2]) return false; - - float32 vx2 = _x-x[0]; float32 vy2 = _y-y[0]; - float32 vx1 = x[1]-x[0]; float32 vy1 = y[1]-y[0]; - float32 vx0 = x[2]-x[0]; float32 vy0 = y[2]-y[0]; - - float32 dot00 = vx0*vx0+vy0*vy0; - float32 dot01 = vx0*vx1+vy0*vy1; - float32 dot02 = vx0*vx2+vy0*vy2; - float32 dot11 = vx1*vx1+vy1*vy1; - float32 dot12 = vx1*vx2+vy1*vy2; - float32 invDenom = 1.0f / (dot00*dot11 - dot01*dot01); - float32 u = (dot11*dot02 - dot01*dot12)*invDenom; - float32 v = (dot00*dot12 - dot01*dot02)*invDenom; - - return ((u>=0)&&(v>=0)&&(u+v<=1)); -} - - -} diff --git a/thirdparty/b2d_convexdecomp/b2Triangle.h b/thirdparty/b2d_convexdecomp/b2Triangle.h deleted file mode 100644 index 99ab5cba69..0000000000 --- a/thirdparty/b2d_convexdecomp/b2Triangle.h +++ /dev/null @@ -1,41 +0,0 @@ -/* - * Copyright (c) 2007 Eric Jordan - * - * This software is provided 'as-is', without any express or implied - * warranty. In no event will the authors be held liable for any damages - * arising from the use of this software. - * Permission is granted to anyone to use this software for any purpose, - * including commercial applications, and to alter it and redistribute it - * freely, subject to the following restrictions: - * 1. The origin of this software must not be misrepresented; you must not - * claim that you wrote the original software. If you use this software - * in a product, an acknowledgment in the product documentation would be - * appreciated but is not required. - * 2. Altered source versions must be plainly marked as such, and must not be - * misrepresented as being the original software. - * 3. This notice may not be removed or altered from any source distribution. - */ - -#ifndef B2_TRIANGLE_H -#define B2_TRIANGLE_H - -#include "b2Glue.h" - -namespace b2ConvexDecomp { - - - -class b2Triangle{ -public: - float* x; - float* y; - b2Triangle(); - b2Triangle(float32 x1, float32 y1, float32 x2, float32 y2, float32 x3, float32 y3); - ~b2Triangle(); - bool IsInside(float32 _x, float32 _y); - void Set(const b2Triangle& toMe); - -}; - -} -#endif |