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  • chipmunk几何算法

    /* Copyright (c) 2007 Scott Lembcke
    *
    * Permission is hereby granted, free of charge, to any person obtaining a copy
    * of this software and associated documentation files (the "Software"), to deal
    * in the Software without restriction, including without limitation the rights
    * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
    * copies of the Software, and to permit persons to whom the Software is
    * furnished to do so, subject to the following conditions:
    *
    * The above copyright notice and this permission notice shall be included in
    * all copies or substantial portions of the Software.
    *
    * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
    * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
    * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
    * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
    * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
    * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
    * SOFTWARE.
    */

    #include <stdio.h>
    #include <string.h>
    #include <stdarg.h>

    #include "chipmunk_private.h"

    void
    cpMessage(const char *condition, const char *file, int line, cpBool isError, cpBool isHardError, const char *message, ...)
    {
    fprintf(stderr, (isError ? "Aborting due to Chipmunk error: " : "Chipmunk warning: "));

    va_list vargs;
    va_start(vargs, message); {
    vfprintf(stderr, message, vargs);
    fprintf(stderr, " ");
    } va_end(vargs);

    fprintf(stderr, " Failed condition: %s ", condition);
    fprintf(stderr, " Source:%s:%d ", file, line);

    if(isError) abort();
    }

    #define STR(s) #s
    #define XSTR(s) STR(s)

    const char *cpVersionString = XSTR(CP_VERSION_MAJOR)"."XSTR(CP_VERSION_MINOR)"."XSTR(CP_VERSION_RELEASE);

    void
    cpInitChipmunk(void)
    {
    cpAssertWarn(cpFalse, "cpInitChipmunk is deprecated and no longer required. It will be removed in the future.");
    }

    //MARK: Misc Functions

    cpFloat
    cpMomentForCircle(cpFloat m, cpFloat r1, cpFloat r2, cpVect offset)
    {
    return m*(0.5f*(r1*r1 + r2*r2) + cpvlengthsq(offset));
    }

    cpFloat
    cpAreaForCircle(cpFloat r1, cpFloat r2)
    {
    return (cpFloat)M_PI*cpfabs(r1*r1 - r2*r2);
    }

    cpFloat
    cpMomentForSegment(cpFloat m, cpVect a, cpVect b)
    {
    cpVect offset = cpvmult(cpvadd(a, b), 0.5f);
    return m*(cpvdistsq(b, a)/12.0f + cpvlengthsq(offset));
    }

    cpFloat
    cpAreaForSegment(cpVect a, cpVect b, cpFloat r)
    {
    return r*((cpFloat)M_PI*r + 2.0f*cpvdist(a, b));
    }

    cpFloat
    cpMomentForPoly(cpFloat m, const int numVerts, const cpVect *verts, cpVect offset)
    {
    cpFloat sum1 = 0.0f;
    cpFloat sum2 = 0.0f;
    for(int i=0; i<numVerts; i++){
    cpVect v1 = cpvadd(verts[i], offset);
    cpVect v2 = cpvadd(verts[(i+1)%numVerts], offset);

    cpFloat a = cpvcross(v2, v1);
    cpFloat b = cpvdot(v1, v1) + cpvdot(v1, v2) + cpvdot(v2, v2);

    sum1 += a*b;
    sum2 += a;
    }

    return (m*sum1)/(6.0f*sum2);
    }

    cpFloat
    cpAreaForPoly(const int numVerts, const cpVect *verts)
    {
    cpFloat area = 0.0f;
    for(int i=0; i<numVerts; i++){
    area += cpvcross(verts[i], verts[(i+1)%numVerts]);
    }

    return -area/2.0f;
    }

    cpVect
    cpCentroidForPoly(const int numVerts, const cpVect *verts)
    {
    cpFloat sum = 0.0f;
    cpVect vsum = cpvzero;

    for(int i=0; i<numVerts; i++){
    cpVect v1 = verts[i];
    cpVect v2 = verts[(i+1)%numVerts];
    cpFloat cross = cpvcross(v1, v2);

    sum += cross;
    vsum = cpvadd(vsum, cpvmult(cpvadd(v1, v2), cross));
    }

    return cpvmult(vsum, 1.0f/(3.0f*sum));
    }

    void
    cpRecenterPoly(const int numVerts, cpVect *verts){
    cpVect centroid = cpCentroidForPoly(numVerts, verts);

    for(int i=0; i<numVerts; i++){
    verts[i] = cpvsub(verts[i], centroid);
    }
    }

    cpFloat
    cpMomentForBox(cpFloat m, cpFloat width, cpFloat height)
    {
    return m*(width*width + height*height)/12.0f;
    }

    cpFloat
    cpMomentForBox2(cpFloat m, cpBB box)
    {
    cpFloat width = box.r - box.l;
    cpFloat height = box.t - box.b;
    cpVect offset = cpvmult(cpv(box.l + box.r, box.b + box.t), 0.5f);

    // TODO NaN when offset is 0 and m is INFINITY
    return cpMomentForBox(m, width, height) + m*cpvlengthsq(offset);
    }

    //MARK: Quick Hull

    void
    cpLoopIndexes(cpVect *verts, int count, int *start, int *end)
    {
    (*start) = (*end) = 0;
    cpVect min = verts[0];
    cpVect max = min;

    for(int i=1; i<count; i++){
    cpVect v = verts[i];

    if(v.x < min.x || (v.x == min.x && v.y < min.y)){
    min = v;
    (*start) = i;
    } else if(v.x > max.x || (v.x == max.x && v.y > max.y)){
    max = v;
    (*end) = i;
    }
    }
    }

    #define SWAP(__A__, __B__) {cpVect __TMP__ = __A__; __A__ = __B__; __B__ = __TMP__;}

    static int
    QHullPartition(cpVect *verts, int count, cpVect a, cpVect b, cpFloat tol)
    {
    if(count == 0) return 0;

    cpFloat max = 0;
    int pivot = 0;

    cpVect delta = cpvsub(b, a);
    cpFloat valueTol = tol*cpvlength(delta);

    int head = 0;
    for(int tail = count-1; head <= tail;){
    cpFloat value = cpvcross(delta, cpvsub(verts[head], a));
    if(value > valueTol){
    if(value > max){
    max = value;
    pivot = head;
    }

    head++;
    } else {
    SWAP(verts[head], verts[tail]);
    tail--;
    }
    }

    // move the new pivot to the front if it's not already there.
    if(pivot != 0) SWAP(verts[0], verts[pivot]);
    return head;
    }

    static int
    QHullReduce(cpFloat tol, cpVect *verts, int count, cpVect a, cpVect pivot, cpVect b, cpVect *result)
    {
    if(count < 0){
    return 0;
    } else if(count == 0) {
    result[0] = pivot;
    return 1;
    } else {
    int left_count = QHullPartition(verts, count, a, pivot, tol);
    int index = QHullReduce(tol, verts + 1, left_count - 1, a, verts[0], pivot, result);

    result[index++] = pivot;

    int right_count = QHullPartition(verts + left_count, count - left_count, pivot, b, tol);
    return index + QHullReduce(tol, verts + left_count + 1, right_count - 1, pivot, verts[left_count], b, result + index);
    }
    }

    // QuickHull seemed like a neat algorithm, and efficient-ish for large input sets.
    // My implementation performs an in place reduction using the result array as scratch space.
    int
    cpConvexHull(int count, cpVect *verts, cpVect *result, int *first, cpFloat tol)
    {
    if(result){
    // Copy the line vertexes into the empty part of the result polyline to use as a scratch buffer.
    memcpy(result, verts, count*sizeof(cpVect));
    } else {
    // If a result array was not specified, reduce the input instead.
    result = verts;
    }

    // Degenerate case, all poins are the same.
    int start, end;
    cpLoopIndexes(verts, count, &start, &end);
    if(start == end){
    if(first) (*first) = 0;
    return 1;
    }

    SWAP(result[0], result[start]);
    SWAP(result[1], result[end == 0 ? start : end]);

    cpVect a = result[0];
    cpVect b = result[1];

    if(first) (*first) = start;
    int resultCount = QHullReduce(tol, result + 2, count - 2, a, b, a, result + 1) + 1;
    cpAssertSoft(cpPolyValidate(result, resultCount),
    "Internal error: cpConvexHull() and cpPolyValidate() did not agree."
    "Please report this error with as much info as you can.");
    return resultCount;
    }

    //MARK: Alternate Block Iterators

    #if defined(__has_extension)
    #if __has_extension(blocks)

    static void IteratorFunc(void *ptr, void (^block)(void *ptr)){block(ptr);}

    void cpSpaceEachBody_b(cpSpace *space, void (^block)(cpBody *body)){
    cpSpaceEachBody(space, (cpSpaceBodyIteratorFunc)IteratorFunc, block);
    }

    void cpSpaceEachShape_b(cpSpace *space, void (^block)(cpShape *shape)){
    cpSpaceEachShape(space, (cpSpaceShapeIteratorFunc)IteratorFunc, block);
    }

    void cpSpaceEachConstraint_b(cpSpace *space, void (^block)(cpConstraint *constraint)){
    cpSpaceEachConstraint(space, (cpSpaceConstraintIteratorFunc)IteratorFunc, block);
    }

    static void BodyIteratorFunc(cpBody *body, void *ptr, void (^block)(void *ptr)){block(ptr);}

    void cpBodyEachShape_b(cpBody *body, void (^block)(cpShape *shape)){
    cpBodyEachShape(body, (cpBodyShapeIteratorFunc)BodyIteratorFunc, block);
    }

    void cpBodyEachConstraint_b(cpBody *body, void (^block)(cpConstraint *constraint)){
    cpBodyEachConstraint(body, (cpBodyConstraintIteratorFunc)BodyIteratorFunc, block);
    }

    void cpBodyEachArbiter_b(cpBody *body, void (^block)(cpArbiter *arbiter)){
    cpBodyEachArbiter(body, (cpBodyArbiterIteratorFunc)BodyIteratorFunc, block);
    }

    static void NearestPointQueryIteratorFunc(cpShape *shape, cpFloat distance, cpVect point, cpSpaceNearestPointQueryBlock block){block(shape, distance, point);}
    void cpSpaceNearestPointQuery_b(cpSpace *space, cpVect point, cpFloat maxDistance, cpLayers layers, cpGroup group, cpSpaceNearestPointQueryBlock block){
    cpSpaceNearestPointQuery(space, point, maxDistance, layers, group, (cpSpaceNearestPointQueryFunc)NearestPointQueryIteratorFunc, block);
    }

    static void SegmentQueryIteratorFunc(cpShape *shape, cpFloat t, cpVect n, cpSpaceSegmentQueryBlock block){block(shape, t, n);}
    void cpSpaceSegmentQuery_b(cpSpace *space, cpVect start, cpVect end, cpLayers layers, cpGroup group, cpSpaceSegmentQueryBlock block){
    cpSpaceSegmentQuery(space, start, end, layers, group, (cpSpaceSegmentQueryFunc)SegmentQueryIteratorFunc, block);
    }

    void cpSpaceBBQuery_b(cpSpace *space, cpBB bb, cpLayers layers, cpGroup group, cpSpaceBBQueryBlock block){
    cpSpaceBBQuery(space, bb, layers, group, (cpSpaceBBQueryFunc)IteratorFunc, block);
    }

    static void ShapeQueryIteratorFunc(cpShape *shape, cpContactPointSet *points, cpSpaceShapeQueryBlock block){block(shape, points);}
    cpBool cpSpaceShapeQuery_b(cpSpace *space, cpShape *shape, cpSpaceShapeQueryBlock block){
    return cpSpaceShapeQuery(space, shape, (cpSpaceShapeQueryFunc)ShapeQueryIteratorFunc, block);
    }

    #endif
    #endif

    #include "chipmunk_ffi.h"

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  • 原文地址:https://www.cnblogs.com/decode1234/p/7183599.html
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