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-rw-r--r--thirdparty/vhacd/src/btConvexHullComputer.cpp4274
1 files changed, 2209 insertions, 2065 deletions
diff --git a/thirdparty/vhacd/src/btConvexHullComputer.cpp b/thirdparty/vhacd/src/btConvexHullComputer.cpp
index 15956fc0c4..d3d749adbe 100644
--- a/thirdparty/vhacd/src/btConvexHullComputer.cpp
+++ b/thirdparty/vhacd/src/btConvexHullComputer.cpp
@@ -3,8 +3,8 @@ Copyright (c) 2011 Ole Kniemeyer, MAXON, www.maxon.net
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,
+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.
@@ -34,7 +34,7 @@ typedef unsigned long long int32_t uint64_t;
#endif
#ifdef _MSC_VER
-#pragma warning(disable : 4458)
+#pragma warning(disable:4458)
#endif
//The definition of USE_X86_64_ASM is moved into the build system. You can enable it manually by commenting out the following lines
@@ -49,2287 +49,2431 @@ typedef unsigned long long int32_t uint64_t;
#include <stdio.h>
#endif
-//GODOT ADDITION
-namespace VHACD {
-//
-
// Convex hull implementation based on Preparata and Hong
// Ole Kniemeyer, MAXON Computer GmbH
class btConvexHullInternal {
public:
- class Point64 {
- public:
- int64_t x;
- int64_t y;
- int64_t z;
-
- Point64(int64_t x, int64_t y, int64_t z) :
- x(x),
- y(y),
- z(z) {
- }
-
- bool isZero() {
- return (x == 0) && (y == 0) && (z == 0);
- }
-
- int64_t dot(const Point64 &b) const {
- return x * b.x + y * b.y + z * b.z;
- }
- };
-
- class Point32 {
- public:
- int32_t x;
- int32_t y;
- int32_t z;
- int32_t index;
-
- Point32() {
- }
-
- Point32(int32_t x, int32_t y, int32_t z) :
- x(x),
- y(y),
- z(z),
- index(-1) {
- }
-
- bool operator==(const Point32 &b) const {
- return (x == b.x) && (y == b.y) && (z == b.z);
- }
-
- bool operator!=(const Point32 &b) const {
- return (x != b.x) || (y != b.y) || (z != b.z);
- }
-
- bool isZero() {
- return (x == 0) && (y == 0) && (z == 0);
- }
-
- Point64 cross(const Point32 &b) const {
- return Point64(y * b.z - z * b.y, z * b.x - x * b.z, x * b.y - y * b.x);
- }
-
- Point64 cross(const Point64 &b) const {
- return Point64(y * b.z - z * b.y, z * b.x - x * b.z, x * b.y - y * b.x);
- }
-
- int64_t dot(const Point32 &b) const {
- return x * b.x + y * b.y + z * b.z;
- }
-
- int64_t dot(const Point64 &b) const {
- return x * b.x + y * b.y + z * b.z;
- }
-
- Point32 operator+(const Point32 &b) const {
- return Point32(x + b.x, y + b.y, z + b.z);
- }
-
- Point32 operator-(const Point32 &b) const {
- return Point32(x - b.x, y - b.y, z - b.z);
- }
- };
-
- class Int128 {
- public:
- uint64_t low;
- uint64_t high;
-
- Int128() {
- }
-
- Int128(uint64_t low, uint64_t high) :
- low(low),
- high(high) {
- }
-
- Int128(uint64_t low) :
- low(low),
- high(0) {
- }
-
- Int128(int64_t value) :
- low(value),
- high((value >= 0) ? 0 : (uint64_t)-1LL) {
- }
-
- static Int128 mul(int64_t a, int64_t b);
-
- static Int128 mul(uint64_t a, uint64_t b);
-
- Int128 operator-() const {
- return Int128((uint64_t) - (int64_t)low, ~high + (low == 0));
- }
-
- Int128 operator+(const Int128 &b) const {
+ class Point64 {
+ public:
+ int64_t x;
+ int64_t y;
+ int64_t z;
+
+ Point64(int64_t x, int64_t y, int64_t z)
+ : x(x)
+ , y(y)
+ , z(z)
+ {
+ }
+
+ bool isZero()
+ {
+ return (x == 0) && (y == 0) && (z == 0);
+ }
+
+ int64_t dot(const Point64& b) const
+ {
+ return x * b.x + y * b.y + z * b.z;
+ }
+ };
+
+ class Point32 {
+ public:
+ int32_t x;
+ int32_t y;
+ int32_t z;
+ int32_t index;
+
+ Point32()
+ {
+ }
+
+ Point32(int32_t x, int32_t y, int32_t z)
+ : x(x)
+ , y(y)
+ , z(z)
+ , index(-1)
+ {
+ }
+
+ bool operator==(const Point32& b) const
+ {
+ return (x == b.x) && (y == b.y) && (z == b.z);
+ }
+
+ bool operator!=(const Point32& b) const
+ {
+ return (x != b.x) || (y != b.y) || (z != b.z);
+ }
+
+ bool isZero()
+ {
+ return (x == 0) && (y == 0) && (z == 0);
+ }
+
+ Point64 cross(const Point32& b) const
+ {
+ return Point64(y * b.z - z * b.y, z * b.x - x * b.z, x * b.y - y * b.x);
+ }
+
+ Point64 cross(const Point64& b) const
+ {
+ return Point64(y * b.z - z * b.y, z * b.x - x * b.z, x * b.y - y * b.x);
+ }
+
+ int64_t dot(const Point32& b) const
+ {
+ return x * b.x + y * b.y + z * b.z;
+ }
+
+ int64_t dot(const Point64& b) const
+ {
+ return x * b.x + y * b.y + z * b.z;
+ }
+
+ Point32 operator+(const Point32& b) const
+ {
+ return Point32(x + b.x, y + b.y, z + b.z);
+ }
+
+ Point32 operator-(const Point32& b) const
+ {
+ return Point32(x - b.x, y - b.y, z - b.z);
+ }
+ };
+
+ class Int128 {
+ public:
+ uint64_t low;
+ uint64_t high;
+
+ Int128()
+ {
+ }
+
+ Int128(uint64_t low, uint64_t high)
+ : low(low)
+ , high(high)
+ {
+ }
+
+ Int128(uint64_t low)
+ : low(low)
+ , high(0)
+ {
+ }
+
+ Int128(int64_t value)
+ : low(value)
+ , high((value >= 0) ? 0 : (uint64_t)-1LL)
+ {
+ }
+
+ static Int128 mul(int64_t a, int64_t b);
+
+ static Int128 mul(uint64_t a, uint64_t b);
+
+ Int128 operator-() const
+ {
+ return Int128((uint64_t) - (int64_t)low, ~high + (low == 0));
+ }
+
+ Int128 operator+(const Int128& b) const
+ {
#ifdef USE_X86_64_ASM
- Int128 result;
- __asm__("addq %[bl], %[rl]\n\t"
- "adcq %[bh], %[rh]\n\t"
- : [rl] "=r"(result.low), [rh] "=r"(result.high)
- : "0"(low), "1"(high), [bl] "g"(b.low), [bh] "g"(b.high)
- : "cc");
- return result;
+ Int128 result;
+ __asm__("addq %[bl], %[rl]\n\t"
+ "adcq %[bh], %[rh]\n\t"
+ : [rl] "=r"(result.low), [rh] "=r"(result.high)
+ : "0"(low), "1"(high), [bl] "g"(b.low), [bh] "g"(b.high)
+ : "cc");
+ return result;
#else
- uint64_t lo = low + b.low;
- return Int128(lo, high + b.high + (lo < low));
+ uint64_t lo = low + b.low;
+ return Int128(lo, high + b.high + (lo < low));
#endif
- }
+ }
- Int128 operator-(const Int128 &b) const {
+ Int128 operator-(const Int128& b) const
+ {
#ifdef USE_X86_64_ASM
- Int128 result;
- __asm__("subq %[bl], %[rl]\n\t"
- "sbbq %[bh], %[rh]\n\t"
- : [rl] "=r"(result.low), [rh] "=r"(result.high)
- : "0"(low), "1"(high), [bl] "g"(b.low), [bh] "g"(b.high)
- : "cc");
- return result;
+ Int128 result;
+ __asm__("subq %[bl], %[rl]\n\t"
+ "sbbq %[bh], %[rh]\n\t"
+ : [rl] "=r"(result.low), [rh] "=r"(result.high)
+ : "0"(low), "1"(high), [bl] "g"(b.low), [bh] "g"(b.high)
+ : "cc");
+ return result;
#else
- return *this + -b;
+ return *this + -b;
#endif
- }
+ }
- Int128 &operator+=(const Int128 &b) {
+ Int128& operator+=(const Int128& b)
+ {
#ifdef USE_X86_64_ASM
- __asm__("addq %[bl], %[rl]\n\t"
- "adcq %[bh], %[rh]\n\t"
- : [rl] "=r"(low), [rh] "=r"(high)
- : "0"(low), "1"(high), [bl] "g"(b.low), [bh] "g"(b.high)
- : "cc");
+ __asm__("addq %[bl], %[rl]\n\t"
+ "adcq %[bh], %[rh]\n\t"
+ : [rl] "=r"(low), [rh] "=r"(high)
+ : "0"(low), "1"(high), [bl] "g"(b.low), [bh] "g"(b.high)
+ : "cc");
#else
- uint64_t lo = low + b.low;
- if (lo < low) {
- ++high;
- }
- low = lo;
- high += b.high;
+ uint64_t lo = low + b.low;
+ if (lo < low) {
+ ++high;
+ }
+ low = lo;
+ high += b.high;
#endif
- return *this;
- }
-
- Int128 &operator++() {
- if (++low == 0) {
- ++high;
- }
- return *this;
- }
-
- Int128 operator*(int64_t b) const;
-
- btScalar toScalar() const {
- return ((int64_t)high >= 0) ? btScalar(high) * (btScalar(0x100000000LL) * btScalar(0x100000000LL)) + btScalar(low) : -(-*this).toScalar();
- }
-
- int32_t getSign() const {
- return ((int64_t)high < 0) ? -1 : (high || low) ? 1 : 0;
- }
-
- bool operator<(const Int128 &b) const {
- return (high < b.high) || ((high == b.high) && (low < b.low));
- }
-
- int32_t ucmp(const Int128 &b) const {
- if (high < b.high) {
- return -1;
- }
- if (high > b.high) {
- return 1;
- }
- if (low < b.low) {
- return -1;
- }
- if (low > b.low) {
- return 1;
- }
- return 0;
- }
- };
-
- class Rational64 {
- private:
- uint64_t m_numerator;
- uint64_t m_denominator;
- int32_t sign;
-
- public:
- Rational64(int64_t numerator, int64_t denominator) {
- if (numerator > 0) {
- sign = 1;
- m_numerator = (uint64_t)numerator;
- } else if (numerator < 0) {
- sign = -1;
- m_numerator = (uint64_t)-numerator;
- } else {
- sign = 0;
- m_numerator = 0;
- }
- if (denominator > 0) {
- m_denominator = (uint64_t)denominator;
- } else if (denominator < 0) {
- sign = -sign;
- m_denominator = (uint64_t)-denominator;
- } else {
- m_denominator = 0;
- }
- }
-
- bool isNegativeInfinity() const {
- return (sign < 0) && (m_denominator == 0);
- }
-
- bool isNaN() const {
- return (sign == 0) && (m_denominator == 0);
- }
-
- int32_t compare(const Rational64 &b) const;
-
- btScalar toScalar() const {
- return sign * ((m_denominator == 0) ? SIMD_INFINITY : (btScalar)m_numerator / m_denominator);
- }
- };
-
- class Rational128 {
- private:
- Int128 numerator;
- Int128 denominator;
- int32_t sign;
- bool isInt64;
-
- public:
- Rational128(int64_t value) {
- if (value > 0) {
- sign = 1;
- this->numerator = value;
- } else if (value < 0) {
- sign = -1;
- this->numerator = -value;
- } else {
- sign = 0;
- this->numerator = (uint64_t)0;
- }
- this->denominator = (uint64_t)1;
- isInt64 = true;
- }
-
- Rational128(const Int128 &numerator, const Int128 &denominator) {
- sign = numerator.getSign();
- if (sign >= 0) {
- this->numerator = numerator;
- } else {
- this->numerator = -numerator;
- }
- int32_t dsign = denominator.getSign();
- if (dsign >= 0) {
- this->denominator = denominator;
- } else {
- sign = -sign;
- this->denominator = -denominator;
- }
- isInt64 = false;
- }
-
- int32_t compare(const Rational128 &b) const;
-
- int32_t compare(int64_t b) const;
-
- btScalar toScalar() const {
- return sign * ((denominator.getSign() == 0) ? SIMD_INFINITY : numerator.toScalar() / denominator.toScalar());
- }
- };
-
- class PointR128 {
- public:
- Int128 x;
- Int128 y;
- Int128 z;
- Int128 denominator;
-
- PointR128() {
- }
-
- PointR128(Int128 x, Int128 y, Int128 z, Int128 denominator) :
- x(x),
- y(y),
- z(z),
- denominator(denominator) {
- }
-
- btScalar xvalue() const {
- return x.toScalar() / denominator.toScalar();
- }
-
- btScalar yvalue() const {
- return y.toScalar() / denominator.toScalar();
- }
-
- btScalar zvalue() const {
- return z.toScalar() / denominator.toScalar();
- }
- };
-
- class Edge;
- class Face;
-
- class Vertex {
- public:
- Vertex *next;
- Vertex *prev;
- Edge *edges;
- Face *firstNearbyFace;
- Face *lastNearbyFace;
- PointR128 point128;
- Point32 point;
- int32_t copy;
-
- Vertex() :
- next(NULL),
- prev(NULL),
- edges(NULL),
- firstNearbyFace(NULL),
- lastNearbyFace(NULL),
- copy(-1) {
- }
+ return *this;
+ }
+
+ Int128& operator++()
+ {
+ if (++low == 0) {
+ ++high;
+ }
+ return *this;
+ }
+
+ Int128 operator*(int64_t b) const;
+
+ btScalar toScalar() const
+ {
+ return ((int64_t)high >= 0) ? btScalar(high) * (btScalar(0x100000000LL) * btScalar(0x100000000LL)) + btScalar(low)
+ : -(-*this).toScalar();
+ }
+
+ int32_t getSign() const
+ {
+ return ((int64_t)high < 0) ? -1 : (high || low) ? 1 : 0;
+ }
+
+ bool operator<(const Int128& b) const
+ {
+ return (high < b.high) || ((high == b.high) && (low < b.low));
+ }
+
+ int32_t ucmp(const Int128& b) const
+ {
+ if (high < b.high) {
+ return -1;
+ }
+ if (high > b.high) {
+ return 1;
+ }
+ if (low < b.low) {
+ return -1;
+ }
+ if (low > b.low) {
+ return 1;
+ }
+ return 0;
+ }
+ };
+
+ class Rational64 {
+ private:
+ uint64_t m_numerator;
+ uint64_t m_denominator;
+ int32_t sign;
+
+ public:
+ Rational64(int64_t numerator, int64_t denominator)
+ {
+ if (numerator > 0) {
+ sign = 1;
+ m_numerator = (uint64_t)numerator;
+ }
+ else if (numerator < 0) {
+ sign = -1;
+ m_numerator = (uint64_t)-numerator;
+ }
+ else {
+ sign = 0;
+ m_numerator = 0;
+ }
+ if (denominator > 0) {
+ m_denominator = (uint64_t)denominator;
+ }
+ else if (denominator < 0) {
+ sign = -sign;
+ m_denominator = (uint64_t)-denominator;
+ }
+ else {
+ m_denominator = 0;
+ }
+ }
+
+ bool isNegativeInfinity() const
+ {
+ return (sign < 0) && (m_denominator == 0);
+ }
+
+ bool isNaN() const
+ {
+ return (sign == 0) && (m_denominator == 0);
+ }
+
+ int32_t compare(const Rational64& b) const;
+
+ btScalar toScalar() const
+ {
+ return sign * ((m_denominator == 0) ? SIMD_INFINITY : (btScalar)m_numerator / m_denominator);
+ }
+ };
+
+ class Rational128 {
+ private:
+ Int128 numerator;
+ Int128 denominator;
+ int32_t sign;
+ bool isInt64;
+
+ public:
+ Rational128(int64_t value)
+ {
+ if (value > 0) {
+ sign = 1;
+ this->numerator = value;
+ }
+ else if (value < 0) {
+ sign = -1;
+ this->numerator = -value;
+ }
+ else {
+ sign = 0;
+ this->numerator = (uint64_t)0;
+ }
+ this->denominator = (uint64_t)1;
+ isInt64 = true;
+ }
+
+ Rational128(const Int128& numerator, const Int128& denominator)
+ {
+ sign = numerator.getSign();
+ if (sign >= 0) {
+ this->numerator = numerator;
+ }
+ else {
+ this->numerator = -numerator;
+ }
+ int32_t dsign = denominator.getSign();
+ if (dsign >= 0) {
+ this->denominator = denominator;
+ }
+ else {
+ sign = -sign;
+ this->denominator = -denominator;
+ }
+ isInt64 = false;
+ }
+
+ int32_t compare(const Rational128& b) const;
+
+ int32_t compare(int64_t b) const;
+
+ btScalar toScalar() const
+ {
+ return sign * ((denominator.getSign() == 0) ? SIMD_INFINITY : numerator.toScalar() / denominator.toScalar());
+ }
+ };
+
+ class PointR128 {
+ public:
+ Int128 x;
+ Int128 y;
+ Int128 z;
+ Int128 denominator;
+
+ PointR128()
+ {
+ }
+
+ PointR128(Int128 x, Int128 y, Int128 z, Int128 denominator)
+ : x(x)
+ , y(y)
+ , z(z)
+ , denominator(denominator)
+ {
+ }
+
+ btScalar xvalue() const
+ {
+ return x.toScalar() / denominator.toScalar();
+ }
+
+ btScalar yvalue() const
+ {
+ return y.toScalar() / denominator.toScalar();
+ }
+
+ btScalar zvalue() const
+ {
+ return z.toScalar() / denominator.toScalar();
+ }
+ };
+
+ class Edge;
+ class Face;
+
+ class Vertex {
+ public:
+ Vertex* next;
+ Vertex* prev;
+ Edge* edges;
+ Face* firstNearbyFace;
+ Face* lastNearbyFace;
+ PointR128 point128;
+ Point32 point;
+ int32_t copy;
+
+ Vertex()
+ : next(NULL)
+ , prev(NULL)
+ , edges(NULL)
+ , firstNearbyFace(NULL)
+ , lastNearbyFace(NULL)
+ , copy(-1)
+ {
+ }
#ifdef DEBUG_CONVEX_HULL
- void print() {
- printf("V%d (%d, %d, %d)", point.index, point.x, point.y, point.z);
- }
+ void print()
+ {
+ printf("V%d (%d, %d, %d)", point.index, point.x, point.y, point.z);
+ }
- void printGraph();
+ void printGraph();
#endif
- Point32 operator-(const Vertex &b) const {
- return point - b.point;
- }
-
- Rational128 dot(const Point64 &b) const {
- return (point.index >= 0) ? Rational128(point.dot(b)) : Rational128(point128.x * b.x + point128.y * b.y + point128.z * b.z, point128.denominator);
- }
-
- btScalar xvalue() const {
- return (point.index >= 0) ? btScalar(point.x) : point128.xvalue();
- }
-
- btScalar yvalue() const {
- return (point.index >= 0) ? btScalar(point.y) : point128.yvalue();
- }
-
- btScalar zvalue() const {
- return (point.index >= 0) ? btScalar(point.z) : point128.zvalue();
- }
-
- void receiveNearbyFaces(Vertex *src) {
- if (lastNearbyFace) {
- lastNearbyFace->nextWithSameNearbyVertex = src->firstNearbyFace;
- } else {
- firstNearbyFace = src->firstNearbyFace;
- }
- if (src->lastNearbyFace) {
- lastNearbyFace = src->lastNearbyFace;
- }
- for (Face *f = src->firstNearbyFace; f; f = f->nextWithSameNearbyVertex) {
- btAssert(f->nearbyVertex == src);
- f->nearbyVertex = this;
- }
- src->firstNearbyFace = NULL;
- src->lastNearbyFace = NULL;
- }
- };
-
- class Edge {
- public:
- Edge *next;
- Edge *prev;
- Edge *reverse;
- Vertex *target;
- Face *face;
- int32_t copy;
-
- ~Edge() {
- next = NULL;
- prev = NULL;
- reverse = NULL;
- target = NULL;
- face = NULL;
- }
-
- void link(Edge *n) {
- btAssert(reverse->target == n->reverse->target);
- next = n;
- n->prev = this;
- }
+ Point32 operator-(const Vertex& b) const
+ {
+ return point - b.point;
+ }
+
+ Rational128 dot(const Point64& b) const
+ {
+ return (point.index >= 0) ? Rational128(point.dot(b))
+ : Rational128(point128.x * b.x + point128.y * b.y + point128.z * b.z, point128.denominator);
+ }
+
+ btScalar xvalue() const
+ {
+ return (point.index >= 0) ? btScalar(point.x) : point128.xvalue();
+ }
+
+ btScalar yvalue() const
+ {
+ return (point.index >= 0) ? btScalar(point.y) : point128.yvalue();
+ }
+
+ btScalar zvalue() const
+ {
+ return (point.index >= 0) ? btScalar(point.z) : point128.zvalue();
+ }
+
+ void receiveNearbyFaces(Vertex* src)
+ {
+ if (lastNearbyFace) {
+ lastNearbyFace->nextWithSameNearbyVertex = src->firstNearbyFace;
+ }
+ else {
+ firstNearbyFace = src->firstNearbyFace;
+ }
+ if (src->lastNearbyFace) {
+ lastNearbyFace = src->lastNearbyFace;
+ }
+ for (Face* f = src->firstNearbyFace; f; f = f->nextWithSameNearbyVertex) {
+ btAssert(f->nearbyVertex == src);
+ f->nearbyVertex = this;
+ }
+ src->firstNearbyFace = NULL;
+ src->lastNearbyFace = NULL;
+ }
+ };
+
+ class Edge {
+ public:
+ Edge* next;
+ Edge* prev;
+ Edge* reverse;
+ Vertex* target;
+ Face* face;
+ int32_t copy;
+
+ ~Edge()
+ {
+ next = NULL;
+ prev = NULL;
+ reverse = NULL;
+ target = NULL;
+ face = NULL;
+ }
+
+ void link(Edge* n)
+ {
+ btAssert(reverse->target == n->reverse->target);
+ next = n;
+ n->prev = this;
+ }
#ifdef DEBUG_CONVEX_HULL
- void print() {
- printf("E%p : %d -> %d, n=%p p=%p (0 %d\t%d\t%d) -> (%d %d %d)", this, reverse->target->point.index, target->point.index, next, prev,
- reverse->target->point.x, reverse->target->point.y, reverse->target->point.z, target->point.x, target->point.y, target->point.z);
- }
+ void print()
+ {
+ printf("E%p : %d -> %d, n=%p p=%p (0 %d\t%d\t%d) -> (%d %d %d)", this, reverse->target->point.index, target->point.index, next, prev,
+ reverse->target->point.x, reverse->target->point.y, reverse->target->point.z, target->point.x, target->point.y, target->point.z);
+ }
#endif
- };
-
- class Face {
- public:
- Face *next;
- Vertex *nearbyVertex;
- Face *nextWithSameNearbyVertex;
- Point32 origin;
- Point32 dir0;
- Point32 dir1;
-
- Face() :
- next(NULL),
- nearbyVertex(NULL),
- nextWithSameNearbyVertex(NULL) {
- }
-
- void init(Vertex *a, Vertex *b, Vertex *c) {
- nearbyVertex = a;
- origin = a->point;
- dir0 = *b - *a;
- dir1 = *c - *a;
- if (a->lastNearbyFace) {
- a->lastNearbyFace->nextWithSameNearbyVertex = this;
- } else {
- a->firstNearbyFace = this;
- }
- a->lastNearbyFace = this;
- }
-
- Point64 getNormal() {
- return dir0.cross(dir1);
- }
- };
-
- template <typename UWord, typename UHWord>
- class DMul {
- private:
- static uint32_t high(uint64_t value) {
- return (uint32_t)(value >> 32);
- }
-
- static uint32_t low(uint64_t value) {
- return (uint32_t)value;
- }
-
- static uint64_t mul(uint32_t a, uint32_t b) {
- return (uint64_t)a * (uint64_t)b;
- }
-
- static void shlHalf(uint64_t &value) {
- value <<= 32;
- }
-
- static uint64_t high(Int128 value) {
- return value.high;
- }
-
- static uint64_t low(Int128 value) {
- return value.low;
- }
-
- static Int128 mul(uint64_t a, uint64_t b) {
- return Int128::mul(a, b);
- }
-
- static void shlHalf(Int128 &value) {
- value.high = value.low;
- value.low = 0;
- }
-
- public:
- static void mul(UWord a, UWord b, UWord &resLow, UWord &resHigh) {
- UWord p00 = mul(low(a), low(b));
- UWord p01 = mul(low(a), high(b));
- UWord p10 = mul(high(a), low(b));
- UWord p11 = mul(high(a), high(b));
- UWord p0110 = UWord(low(p01)) + UWord(low(p10));
- p11 += high(p01);
- p11 += high(p10);
- p11 += high(p0110);
- shlHalf(p0110);
- p00 += p0110;
- if (p00 < p0110) {
- ++p11;
- }
- resLow = p00;
- resHigh = p11;
- }
- };
+ };
+
+ class Face {
+ public:
+ Face* next;
+ Vertex* nearbyVertex;
+ Face* nextWithSameNearbyVertex;
+ Point32 origin;
+ Point32 dir0;
+ Point32 dir1;
+
+ Face()
+ : next(NULL)
+ , nearbyVertex(NULL)
+ , nextWithSameNearbyVertex(NULL)
+ {
+ }
+
+ void init(Vertex* a, Vertex* b, Vertex* c)
+ {
+ nearbyVertex = a;
+ origin = a->point;
+ dir0 = *b - *a;
+ dir1 = *c - *a;
+ if (a->lastNearbyFace) {
+ a->lastNearbyFace->nextWithSameNearbyVertex = this;
+ }
+ else {
+ a->firstNearbyFace = this;
+ }
+ a->lastNearbyFace = this;
+ }
+
+ Point64 getNormal()
+ {
+ return dir0.cross(dir1);
+ }
+ };
+
+ template <typename UWord, typename UHWord>
+ class DMul {
+ private:
+ static uint32_t high(uint64_t value)
+ {
+ return (uint32_t)(value >> 32);
+ }
+
+ static uint32_t low(uint64_t value)
+ {
+ return (uint32_t)value;
+ }
+
+ static uint64_t mul(uint32_t a, uint32_t b)
+ {
+ return (uint64_t)a * (uint64_t)b;
+ }
+
+ static void shlHalf(uint64_t& value)
+ {
+ value <<= 32;
+ }
+
+ static uint64_t high(Int128 value)
+ {
+ return value.high;
+ }
+
+ static uint64_t low(Int128 value)
+ {
+ return value.low;
+ }
+
+ static Int128 mul(uint64_t a, uint64_t b)
+ {
+ return Int128::mul(a, b);
+ }
+
+ static void shlHalf(Int128& value)
+ {
+ value.high = value.low;
+ value.low = 0;
+ }
+
+ public:
+ static void mul(UWord a, UWord b, UWord& resLow, UWord& resHigh)
+ {
+ UWord p00 = mul(low(a), low(b));
+ UWord p01 = mul(low(a), high(b));
+ UWord p10 = mul(high(a), low(b));
+ UWord p11 = mul(high(a), high(b));
+ UWord p0110 = UWord(low(p01)) + UWord(low(p10));
+ p11 += high(p01);
+ p11 += high(p10);
+ p11 += high(p0110);
+ shlHalf(p0110);
+ p00 += p0110;
+ if (p00 < p0110) {
+ ++p11;
+ }
+ resLow = p00;
+ resHigh = p11;
+ }
+ };
private:
- class IntermediateHull {
- public:
- Vertex *minXy;
- Vertex *maxXy;
- Vertex *minYx;
- Vertex *maxYx;
-
- IntermediateHull() :
- minXy(NULL),
- maxXy(NULL),
- minYx(NULL),
- maxYx(NULL) {
- }
-
- void print();
- };
-
- enum Orientation { NONE,
- CLOCKWISE,
- COUNTER_CLOCKWISE };
-
- template <typename T>
- class PoolArray {
- private:
- T *array;
- int32_t size;
-
- public:
- PoolArray<T> *next;
-
- PoolArray(int32_t size) :
- size(size),
- next(NULL) {
- array = (T *)btAlignedAlloc(sizeof(T) * size, 16);
- }
-
- ~PoolArray() {
- btAlignedFree(array);
- }
-
- T *init() {
- T *o = array;
- for (int32_t i = 0; i < size; i++, o++) {
- o->next = (i + 1 < size) ? o + 1 : NULL;
- }
- return array;
- }
- };
-
- template <typename T>
- class Pool {
- private:
- PoolArray<T> *arrays;
- PoolArray<T> *nextArray;
- T *freeObjects;
- int32_t arraySize;
-
- public:
- Pool() :
- arrays(NULL),
- nextArray(NULL),
- freeObjects(NULL),
- arraySize(256) {
- }
-
- ~Pool() {
- while (arrays) {
- PoolArray<T> *p = arrays;
- arrays = p->next;
- p->~PoolArray<T>();
- btAlignedFree(p);
- }
- }
-
- void reset() {
- nextArray = arrays;
- freeObjects = NULL;
- }
-
- void setArraySize(int32_t arraySize) {
- this->arraySize = arraySize;
- }
-
- T *newObject() {
- T *o = freeObjects;
- if (!o) {
- PoolArray<T> *p = nextArray;
- if (p) {
- nextArray = p->next;
- } else {
- p = new (btAlignedAlloc(sizeof(PoolArray<T>), 16)) PoolArray<T>(arraySize);
- p->next = arrays;
- arrays = p;
- }
- o = p->init();
- }
- freeObjects = o->next;
- return new (o) T();
- };
-
- void freeObject(T *object) {
- object->~T();
- object->next = freeObjects;
- freeObjects = object;
- }
- };
-
- btVector3 scaling;
- btVector3 center;
- Pool<Vertex> vertexPool;
- Pool<Edge> edgePool;
- Pool<Face> facePool;
- btAlignedObjectArray<Vertex *> originalVertices;
- int32_t mergeStamp;
- int32_t minAxis;
- int32_t medAxis;
- int32_t maxAxis;
- int32_t usedEdgePairs;
- int32_t maxUsedEdgePairs;
-
- static Orientation getOrientation(const Edge *prev, const Edge *next, const Point32 &s, const Point32 &t);
- Edge *findMaxAngle(bool ccw, const Vertex *start, const Point32 &s, const Point64 &rxs, const Point64 &sxrxs, Rational64 &minCot);
- void findEdgeForCoplanarFaces(Vertex *c0, Vertex *c1, Edge *&e0, Edge *&e1, Vertex *stop0, Vertex *stop1);
-
- Edge *newEdgePair(Vertex *from, Vertex *to);
-
- void removeEdgePair(Edge *edge) {
- Edge *n = edge->next;
- Edge *r = edge->reverse;
-
- btAssert(edge->target && r->target);
-
- if (n != edge) {
- n->prev = edge->prev;
- edge->prev->next = n;
- r->target->edges = n;
- } else {
- r->target->edges = NULL;
- }
-
- n = r->next;
-
- if (n != r) {
- n->prev = r->prev;
- r->prev->next = n;
- edge->target->edges = n;
- } else {
- edge->target->edges = NULL;
- }
-
- edgePool.freeObject(edge);
- edgePool.freeObject(r);
- usedEdgePairs--;
- }
-
- void computeInternal(int32_t start, int32_t end, IntermediateHull &result);
-
- bool mergeProjection(IntermediateHull &h0, IntermediateHull &h1, Vertex *&c0, Vertex *&c1);
-
- void merge(IntermediateHull &h0, IntermediateHull &h1);
-
- btVector3 toBtVector(const Point32 &v);
-
- btVector3 getBtNormal(Face *face);
-
- bool shiftFace(Face *face, btScalar amount, btAlignedObjectArray<Vertex *> stack);
+ class IntermediateHull {
+ public:
+ Vertex* minXy;
+ Vertex* maxXy;
+ Vertex* minYx;
+ Vertex* maxYx;
+
+ IntermediateHull()
+ : minXy(NULL)
+ , maxXy(NULL)
+ , minYx(NULL)
+ , maxYx(NULL)
+ {
+ }
+
+ void print();
+ };
+
+ enum Orientation { NONE,
+ CLOCKWISE,
+ COUNTER_CLOCKWISE };
+
+ template <typename T>
+ class PoolArray {
+ private:
+ T* array;
+ int32_t size;
+
+ public:
+ PoolArray<T>* next;
+
+ PoolArray(int32_t size)
+ : size(size)
+ , next(NULL)
+ {
+ array = (T*)btAlignedAlloc(sizeof(T) * size, 16);
+ }
+
+ ~PoolArray()
+ {
+ btAlignedFree(array);
+ }
+
+ T* init()
+ {
+ T* o = array;
+ for (int32_t i = 0; i < size; i++, o++) {
+ o->next = (i + 1 < size) ? o + 1 : NULL;
+ }
+ return array;
+ }
+ };
+
+ template <typename T>
+ class Pool {
+ private:
+ PoolArray<T>* arrays;
+ PoolArray<T>* nextArray;
+ T* freeObjects;
+ int32_t arraySize;
+
+ public:
+ Pool()
+ : arrays(NULL)
+ , nextArray(NULL)
+ , freeObjects(NULL)
+ , arraySize(256)
+ {
+ }
+
+ ~Pool()
+ {
+ while (arrays) {
+ PoolArray<T>* p = arrays;
+ arrays = p->next;
+ p->~PoolArray<T>();
+ btAlignedFree(p);
+ }
+ }
+
+ void reset()
+ {
+ nextArray = arrays;
+ freeObjects = NULL;
+ }
+
+ void setArraySize(int32_t arraySize)
+ {
+ this->arraySize = arraySize;
+ }
+
+ T* newObject()
+ {
+ T* o = freeObjects;
+ if (!o) {
+ PoolArray<T>* p = nextArray;
+ if (p) {
+ nextArray = p->next;
+ }
+ else {
+ p = new (btAlignedAlloc(sizeof(PoolArray<T>), 16)) PoolArray<T>(arraySize);
+ p->next = arrays;
+ arrays = p;
+ }
+ o = p->init();
+ }
+ freeObjects = o->next;
+ return new (o) T();
+ };
+
+ void freeObject(T* object)
+ {
+ object->~T();
+ object->next = freeObjects;
+ freeObjects = object;
+ }
+ };
+
+ btVector3 scaling;
+ btVector3 center;
+ Pool<Vertex> vertexPool;
+ Pool<Edge> edgePool;
+ Pool<Face> facePool;
+ btAlignedObjectArray<Vertex*> originalVertices;
+ int32_t mergeStamp;
+ int32_t minAxis;
+ int32_t medAxis;
+ int32_t maxAxis;
+ int32_t usedEdgePairs;
+ int32_t maxUsedEdgePairs;
+
+ static Orientation getOrientation(const Edge* prev, const Edge* next, const Point32& s, const Point32& t);
+ Edge* findMaxAngle(bool ccw, const Vertex* start, const Point32& s, const Point64& rxs, const Point64& sxrxs, Rational64& minCot);
+ void findEdgeForCoplanarFaces(Vertex* c0, Vertex* c1, Edge*& e0, Edge*& e1, Vertex* stop0, Vertex* stop1);
+
+ Edge* newEdgePair(Vertex* from, Vertex* to);
+
+ void removeEdgePair(Edge* edge)
+ {
+ Edge* n = edge->next;
+ Edge* r = edge->reverse;
+
+ btAssert(edge->target && r->target);
+
+ if (n != edge) {
+ n->prev = edge->prev;
+ edge->prev->next = n;
+ r->target->edges = n;
+ }
+ else {
+ r->target->edges = NULL;
+ }
+
+ n = r->next;
+
+ if (n != r) {
+ n->prev = r->prev;
+ r->prev->next = n;
+ edge->target->edges = n;
+ }
+ else {
+ edge->target->edges = NULL;
+ }
+
+ edgePool.freeObject(edge);
+ edgePool.freeObject(r);
+ usedEdgePairs--;
+ }
+
+ void computeInternal(int32_t start, int32_t end, IntermediateHull& result);
+
+ bool mergeProjection(IntermediateHull& h0, IntermediateHull& h1, Vertex*& c0, Vertex*& c1);
+
+ void merge(IntermediateHull& h0, IntermediateHull& h1);
+
+ btVector3 toBtVector(const Point32& v);
+
+ btVector3 getBtNormal(Face* face);
+
+ bool shiftFace(Face* face, btScalar amount, btAlignedObjectArray<Vertex*> stack);
public:
- Vertex *vertexList;
+ Vertex* vertexList;
- void compute(const void *coords, bool doubleCoords, int32_t stride, int32_t count);
+ void compute(const void* coords, bool doubleCoords, int32_t stride, int32_t count);
- btVector3 getCoordinates(const Vertex *v);
+ btVector3 getCoordinates(const Vertex* v);
- btScalar shrink(btScalar amount, btScalar clampAmount);
+ btScalar shrink(btScalar amount, btScalar clampAmount);
};
-btConvexHullInternal::Int128 btConvexHullInternal::Int128::operator*(int64_t b) const {
- bool negative = (int64_t)high < 0;
- Int128 a = negative ? -*this : *this;
- if (b < 0) {
- negative = !negative;
- b = -b;
- }
- Int128 result = mul(a.low, (uint64_t)b);
- result.high += a.high * (uint64_t)b;
- return negative ? -result : result;
+btConvexHullInternal::Int128 btConvexHullInternal::Int128::operator*(int64_t b) const
+{
+ bool negative = (int64_t)high < 0;
+ Int128 a = negative ? -*this : *this;
+ if (b < 0) {
+ negative = !negative;
+ b = -b;
+ }
+ Int128 result = mul(a.low, (uint64_t)b);
+ result.high += a.high * (uint64_t)b;
+ return negative ? -result : result;
}
-btConvexHullInternal::Int128 btConvexHullInternal::Int128::mul(int64_t a, int64_t b) {
- Int128 result;
+btConvexHullInternal::Int128 btConvexHullInternal::Int128::mul(int64_t a, int64_t b)
+{
+ Int128 result;
#ifdef USE_X86_64_ASM
- __asm__("imulq %[b]"
- : "=a"(result.low), "=d"(result.high)
- : "0"(a), [b] "r"(b)
- : "cc");
- return result;
+ __asm__("imulq %[b]"
+ : "=a"(result.low), "=d"(result.high)
+ : "0"(a), [b] "r"(b)
+ : "cc");
+ return result;
#else
- bool negative = a < 0;
- if (negative) {
- a = -a;
- }
- if (b < 0) {
- negative = !negative;
- b = -b;
- }
- DMul<uint64_t, uint32_t>::mul((uint64_t)a, (uint64_t)b, result.low, result.high);
- return negative ? -result : result;
+ bool negative = a < 0;
+ if (negative) {
+ a = -a;
+ }
+ if (b < 0) {
+ negative = !negative;
+ b = -b;
+ }
+ DMul<uint64_t, uint32_t>::mul((uint64_t)a, (uint64_t)b, result.low, result.high);
+ return negative ? -result : result;
#endif
}
-btConvexHullInternal::Int128 btConvexHullInternal::Int128::mul(uint64_t a, uint64_t b) {
- Int128 result;
+btConvexHullInternal::Int128 btConvexHullInternal::Int128::mul(uint64_t a, uint64_t b)
+{
+ Int128 result;
#ifdef USE_X86_64_ASM
- __asm__("mulq %[b]"
- : "=a"(result.low), "=d"(result.high)
- : "0"(a), [b] "r"(b)
- : "cc");
+ __asm__("mulq %[b]"
+ : "=a"(result.low), "=d"(result.high)
+ : "0"(a), [b] "r"(b)
+ : "cc");
#else
- DMul<uint64_t, uint32_t>::mul(a, b, result.low, result.high);
+ DMul<uint64_t, uint32_t>::mul(a, b, result.low, result.high);
#endif
- return result;
+ return result;
}
-int32_t btConvexHullInternal::Rational64::compare(const Rational64 &b) const {
- if (sign != b.sign) {
- return sign - b.sign;
- } else if (sign == 0) {
- return 0;
- }
+int32_t btConvexHullInternal::Rational64::compare(const Rational64& b) const
+{
+ if (sign != b.sign) {
+ return sign - b.sign;
+ }
+ else if (sign == 0) {
+ return 0;
+ }
- // return (numerator * b.denominator > b.numerator * denominator) ? sign : (numerator * b.denominator < b.numerator * denominator) ? -sign : 0;
+// return (numerator * b.denominator > b.numerator * denominator) ? sign : (numerator * b.denominator < b.numerator * denominator) ? -sign : 0;
#ifdef USE_X86_64_ASM
- int32_t result;
- int64_t tmp;
- int64_t dummy;
- __asm__("mulq %[bn]\n\t"
- "movq %%rax, %[tmp]\n\t"
- "movq %%rdx, %%rbx\n\t"
- "movq %[tn], %%rax\n\t"
- "mulq %[bd]\n\t"
- "subq %[tmp], %%rax\n\t"
- "sbbq %%rbx, %%rdx\n\t" // rdx:rax contains 128-bit-difference "numerator*b.denominator - b.numerator*denominator"
- "setnsb %%bh\n\t" // bh=1 if difference is non-negative, bh=0 otherwise
- "orq %%rdx, %%rax\n\t"
- "setnzb %%bl\n\t" // bl=1 if difference if non-zero, bl=0 if it is zero
- "decb %%bh\n\t" // now bx=0x0000 if difference is zero, 0xff01 if it is negative, 0x0001 if it is positive (i.e., same sign as difference)
- "shll $16, %%ebx\n\t" // ebx has same sign as difference
- : "=&b"(result), [tmp] "=&r"(tmp), "=a"(dummy)
- : "a"(denominator), [bn] "g"(b.numerator), [tn] "g"(numerator), [bd] "g"(b.denominator)
- : "%rdx", "cc");
- return result ? result ^ sign // if sign is +1, only bit 0 of result is inverted, which does not change the sign of result (and cannot result in zero)
- // if sign is -1, all bits of result are inverted, which changes the sign of result (and again cannot result in zero)
- :
- 0;
+ int32_t result;
+ int64_t tmp;
+ int64_t dummy;
+ __asm__("mulq %[bn]\n\t"
+ "movq %%rax, %[tmp]\n\t"
+ "movq %%rdx, %%rbx\n\t"
+ "movq %[tn], %%rax\n\t"
+ "mulq %[bd]\n\t"
+ "subq %[tmp], %%rax\n\t"
+ "sbbq %%rbx, %%rdx\n\t" // rdx:rax contains 128-bit-difference "numerator*b.denominator - b.numerator*denominator"
+ "setnsb %%bh\n\t" // bh=1 if difference is non-negative, bh=0 otherwise
+ "orq %%rdx, %%rax\n\t"
+ "setnzb %%bl\n\t" // bl=1 if difference if non-zero, bl=0 if it is zero
+ "decb %%bh\n\t" // now bx=0x0000 if difference is zero, 0xff01 if it is negative, 0x0001 if it is positive (i.e., same sign as difference)
+ "shll $16, %%ebx\n\t" // ebx has same sign as difference
+ : "=&b"(result), [tmp] "=&r"(tmp), "=a"(dummy)
+ : "a"(denominator), [bn] "g"(b.numerator), [tn] "g"(numerator), [bd] "g"(b.denominator)
+ : "%rdx", "cc");
+ return result ? result ^ sign // if sign is +1, only bit 0 of result is inverted, which does not change the sign of result (and cannot result in zero)
+ // if sign is -1, all bits of result are inverted, which changes the sign of result (and again cannot result in zero)
+ : 0;
#else
- return sign * Int128::mul(m_numerator, b.m_denominator).ucmp(Int128::mul(m_denominator, b.m_numerator));
+ return sign * Int128::mul(m_numerator, b.m_denominator).ucmp(Int128::mul(m_denominator, b.m_numerator));
#endif
}
-int32_t btConvexHullInternal::Rational128::compare(const Rational128 &b) const {
- if (sign != b.sign) {
- return sign - b.sign;
- } else if (sign == 0) {
- return 0;
- }
- if (isInt64) {
- return -b.compare(sign * (int64_t)numerator.low);
- }
-
- Int128 nbdLow, nbdHigh, dbnLow, dbnHigh;
- DMul<Int128, uint64_t>::mul(numerator, b.denominator, nbdLow, nbdHigh);
- DMul<Int128, uint64_t>::mul(denominator, b.numerator, dbnLow, dbnHigh);
-
- int32_t cmp = nbdHigh.ucmp(dbnHigh);
- if (cmp) {
- return cmp * sign;
- }
- return nbdLow.ucmp(dbnLow) * sign;
+int32_t btConvexHullInternal::Rational128::compare(const Rational128& b) const
+{
+ if (sign != b.sign) {
+ return sign - b.sign;
+ }
+ else if (sign == 0) {
+ return 0;
+ }
+ if (isInt64) {
+ return -b.compare(sign * (int64_t)numerator.low);
+ }
+
+ Int128 nbdLow, nbdHigh, dbnLow, dbnHigh;
+ DMul<Int128, uint64_t>::mul(numerator, b.denominator, nbdLow, nbdHigh);
+ DMul<Int128, uint64_t>::mul(denominator, b.numerator, dbnLow, dbnHigh);
+
+ int32_t cmp = nbdHigh.ucmp(dbnHigh);
+ if (cmp) {
+ return cmp * sign;
+ }
+ return nbdLow.ucmp(dbnLow) * sign;
}
-int32_t btConvexHullInternal::Rational128::compare(int64_t b) const {
- if (isInt64) {
- int64_t a = sign * (int64_t)numerator.low;
- return (a > b) ? 1 : (a < b) ? -1 : 0;
- }
- if (b > 0) {
- if (sign <= 0) {
- return -1;
- }
- } else if (b < 0) {
- if (sign >= 0) {
- return 1;
- }
- b = -b;
- } else {
- return sign;
- }
-
- return numerator.ucmp(denominator * b) * sign;
+int32_t btConvexHullInternal::Rational128::compare(int64_t b) const
+{
+ if (isInt64) {
+ int64_t a = sign * (int64_t)numerator.low;
+ return (a > b) ? 1 : (a < b) ? -1 : 0;
+ }
+ if (b > 0) {
+ if (sign <= 0) {
+ return -1;
+ }
+ }
+ else if (b < 0) {
+ if (sign >= 0) {
+ return 1;
+ }
+ b = -b;
+ }
+ else {
+ return sign;
+ }
+
+ return numerator.ucmp(denominator * b) * sign;
}
-btConvexHullInternal::Edge *btConvexHullInternal::newEdgePair(Vertex *from, Vertex *to) {
- btAssert(from && to);
- Edge *e = edgePool.newObject();
- Edge *r = edgePool.newObject();
- e->reverse = r;
- r->reverse = e;
- e->copy = mergeStamp;
- r->copy = mergeStamp;
- e->target = to;
- r->target = from;
- e->face = NULL;
- r->face = NULL;
- usedEdgePairs++;
- if (usedEdgePairs > maxUsedEdgePairs) {
- maxUsedEdgePairs = usedEdgePairs;
- }
- return e;
+btConvexHullInternal::Edge* btConvexHullInternal::newEdgePair(Vertex* from, Vertex* to)
+{
+ btAssert(from && to);
+ Edge* e = edgePool.newObject();
+ Edge* r = edgePool.newObject();
+ e->reverse = r;
+ r->reverse = e;
+ e->copy = mergeStamp;
+ r->copy = mergeStamp;
+ e->target = to;
+ r->target = from;
+ e->face = NULL;
+ r->face = NULL;
+ usedEdgePairs++;
+ if (usedEdgePairs > maxUsedEdgePairs) {
+ maxUsedEdgePairs = usedEdgePairs;
+ }
+ return e;
}
-bool btConvexHullInternal::mergeProjection(IntermediateHull &h0, IntermediateHull &h1, Vertex *&c0, Vertex *&c1) {
- Vertex *v0 = h0.maxYx;
- Vertex *v1 = h1.minYx;
- if ((v0->point.x == v1->point.x) && (v0->point.y == v1->point.y)) {
- btAssert(v0->point.z < v1->point.z);
- Vertex *v1p = v1->prev;
- if (v1p == v1) {
- c0 = v0;
- if (v1->edges) {
- btAssert(v1->edges->next == v1->edges);
- v1 = v1->edges->target;
- btAssert(v1->edges->next == v1->edges);
- }
- c1 = v1;
- return false;
- }
- Vertex *v1n = v1->next;
- v1p->next = v1n;
- v1n->prev = v1p;
- if (v1 == h1.minXy) {
- if ((v1n->point.x < v1p->point.x) || ((v1n->point.x == v1p->point.x) && (v1n->point.y < v1p->point.y))) {
- h1.minXy = v1n;
- } else {
- h1.minXy = v1p;
- }
- }
- if (v1 == h1.maxXy) {
- if ((v1n->point.x > v1p->point.x) || ((v1n->point.x == v1p->point.x) && (v1n->point.y > v1p->point.y))) {
- h1.maxXy = v1n;
- } else {
- h1.maxXy = v1p;
- }
- }
- }
-
- v0 = h0.maxXy;
- v1 = h1.maxXy;
- Vertex *v00 = NULL;
- Vertex *v10 = NULL;
- int32_t sign = 1;
-
- for (int32_t side = 0; side <= 1; side++) {
- int32_t dx = (v1->point.x - v0->point.x) * sign;
- if (dx > 0) {
- while (true) {
- int32_t dy = v1->point.y - v0->point.y;
-
- Vertex *w0 = side ? v0->next : v0->prev;
- if (w0 != v0) {
- int32_t dx0 = (w0->point.x - v0->point.x) * sign;
- int32_t dy0 = w0->point.y - v0->point.y;
- if ((dy0 <= 0) && ((dx0 == 0) || ((dx0 < 0) && (dy0 * dx <= dy * dx0)))) {
- v0 = w0;
- dx = (v1->point.x - v0->point.x) * sign;
- continue;
- }
- }
-
- Vertex *w1 = side ? v1->next : v1->prev;
- if (w1 != v1) {
- int32_t dx1 = (w1->point.x - v1->point.x) * sign;
- int32_t dy1 = w1->point.y - v1->point.y;
- int32_t dxn = (w1->point.x - v0->point.x) * sign;
- if ((dxn > 0) && (dy1 < 0) && ((dx1 == 0) || ((dx1 < 0) && (dy1 * dx < dy * dx1)))) {
- v1 = w1;
- dx = dxn;
- continue;
- }
- }
-
- break;
- }
- } else if (dx < 0) {
- while (true) {
- int32_t dy = v1->point.y - v0->point.y;
-
- Vertex *w1 = side ? v1->prev : v1->next;
- if (w1 != v1) {
- int32_t dx1 = (w1->point.x - v1->point.x) * sign;
- int32_t dy1 = w1->point.y - v1->point.y;
- if ((dy1 >= 0) && ((dx1 == 0) || ((dx1 < 0) && (dy1 * dx <= dy * dx1)))) {
- v1 = w1;
- dx = (v1->point.x - v0->point.x) * sign;
- continue;
- }
- }
-
- Vertex *w0 = side ? v0->prev : v0->next;
- if (w0 != v0) {
- int32_t dx0 = (w0->point.x - v0->point.x) * sign;
- int32_t dy0 = w0->point.y - v0->point.y;
- int32_t dxn = (v1->point.x - w0->point.x) * sign;
- if ((dxn < 0) && (dy0 > 0) && ((dx0 == 0) || ((dx0 < 0) && (dy0 * dx < dy * dx0)))) {
- v0 = w0;
- dx = dxn;
- continue;
- }
- }
-
- break;
- }
- } else {
- int32_t x = v0->point.x;
- int32_t y0 = v0->point.y;
- Vertex *w0 = v0;
- Vertex *t;
- while (((t = side ? w0->next : w0->prev) != v0) && (t->point.x == x) && (t->point.y <= y0)) {
- w0 = t;
- y0 = t->point.y;
- }
- v0 = w0;
-
- int32_t y1 = v1->point.y;
- Vertex *w1 = v1;
- while (((t = side ? w1->prev : w1->next) != v1) && (t->point.x == x) && (t->point.y >= y1)) {
- w1 = t;
- y1 = t->point.y;
- }
- v1 = w1;
- }
-
- if (side == 0) {
- v00 = v0;
- v10 = v1;
-
- v0 = h0.minXy;
- v1 = h1.minXy;
- sign = -1;
- }
- }
-
- v0->prev = v1;
- v1->next = v0;
-
- v00->next = v10;
- v10->prev = v00;
-
- if (h1.minXy->point.x < h0.minXy->point.x) {
- h0.minXy = h1.minXy;
- }
- if (h1.maxXy->point.x >= h0.maxXy->point.x) {
- h0.maxXy = h1.maxXy;
- }
-
- h0.maxYx = h1.maxYx;
-
- c0 = v00;
- c1 = v10;
-
- return true;
+bool btConvexHullInternal::mergeProjection(IntermediateHull& h0, IntermediateHull& h1, Vertex*& c0, Vertex*& c1)
+{
+ Vertex* v0 = h0.maxYx;
+ Vertex* v1 = h1.minYx;
+ if ((v0->point.x == v1->point.x) && (v0->point.y == v1->point.y)) {
+ btAssert(v0->point.z < v1->point.z);
+ Vertex* v1p = v1->prev;
+ if (v1p == v1) {
+ c0 = v0;
+ if (v1->edges) {
+ btAssert(v1->edges->next == v1->edges);
+ v1 = v1->edges->target;
+ btAssert(v1->edges->next == v1->edges);
+ }
+ c1 = v1;
+ return false;
+ }
+ Vertex* v1n = v1->next;
+ v1p->next = v1n;
+ v1n->prev = v1p;
+ if (v1 == h1.minXy) {
+ if ((v1n->point.x < v1p->point.x) || ((v1n->point.x == v1p->point.x) && (v1n->point.y < v1p->point.y))) {
+ h1.minXy = v1n;
+ }
+ else {
+ h1.minXy = v1p;
+ }
+ }
+ if (v1 == h1.maxXy) {
+ if ((v1n->point.x > v1p->point.x) || ((v1n->point.x == v1p->point.x) && (v1n->point.y > v1p->point.y))) {
+ h1.maxXy = v1n;
+ }
+ else {
+ h1.maxXy = v1p;
+ }
+ }
+ }
+
+ v0 = h0.maxXy;
+ v1 = h1.maxXy;
+ Vertex* v00 = NULL;
+ Vertex* v10 = NULL;
+ int32_t sign = 1;
+
+ for (int32_t side = 0; side <= 1; side++) {
+ int32_t dx = (v1->point.x - v0->point.x) * sign;
+ if (dx > 0) {
+ while (true) {
+ int32_t dy = v1->point.y - v0->point.y;
+
+ Vertex* w0 = side ? v0->next : v0->prev;
+ if (w0 != v0) {
+ int32_t dx0 = (w0->point.x - v0->point.x) * sign;
+ int32_t dy0 = w0->point.y - v0->point.y;
+ if ((dy0 <= 0) && ((dx0 == 0) || ((dx0 < 0) && (dy0 * dx <= dy * dx0)))) {
+ v0 = w0;
+ dx = (v1->point.x - v0->point.x) * sign;
+ continue;
+ }
+ }
+
+ Vertex* w1 = side ? v1->next : v1->prev;
+ if (w1 != v1) {
+ int32_t dx1 = (w1->point.x - v1->point.x) * sign;
+ int32_t dy1 = w1->point.y - v1->point.y;
+ int32_t dxn = (w1->point.x - v0->point.x) * sign;
+ if ((dxn > 0) && (dy1 < 0) && ((dx1 == 0) || ((dx1 < 0) && (dy1 * dx < dy * dx1)))) {
+ v1 = w1;
+ dx = dxn;
+ continue;
+ }
+ }
+
+ break;
+ }
+ }
+ else if (dx < 0) {
+ while (true) {
+ int32_t dy = v1->point.y - v0->point.y;
+
+ Vertex* w1 = side ? v1->prev : v1->next;
+ if (w1 != v1) {
+ int32_t dx1 = (w1->point.x - v1->point.x) * sign;
+ int32_t dy1 = w1->point.y - v1->point.y;
+ if ((dy1 >= 0) && ((dx1 == 0) || ((dx1 < 0) && (dy1 * dx <= dy * dx1)))) {
+ v1 = w1;
+ dx = (v1->point.x - v0->point.x) * sign;
+ continue;
+ }
+ }
+
+ Vertex* w0 = side ? v0->prev : v0->next;
+ if (w0 != v0) {
+ int32_t dx0 = (w0->point.x - v0->point.x) * sign;
+ int32_t dy0 = w0->point.y - v0->point.y;
+ int32_t dxn = (v1->point.x - w0->point.x) * sign;
+ if ((dxn < 0) && (dy0 > 0) && ((dx0 == 0) || ((dx0 < 0) && (dy0 * dx < dy * dx0)))) {
+ v0 = w0;
+ dx = dxn;
+ continue;
+ }
+ }
+
+ break;
+ }
+ }
+ else {
+ int32_t x = v0->point.x;
+ int32_t y0 = v0->point.y;
+ Vertex* w0 = v0;
+ Vertex* t;
+ while (((t = side ? w0->next : w0->prev) != v0) && (t->point.x == x) && (t->point.y <= y0)) {
+ w0 = t;
+ y0 = t->point.y;
+ }
+ v0 = w0;
+
+ int32_t y1 = v1->point.y;
+ Vertex* w1 = v1;
+ while (((t = side ? w1->prev : w1->next) != v1) && (t->point.x == x) && (t->point.y >= y1)) {
+ w1 = t;
+ y1 = t->point.y;
+ }
+ v1 = w1;
+ }
+
+ if (side == 0) {
+ v00 = v0;
+ v10 = v1;
+
+ v0 = h0.minXy;
+ v1 = h1.minXy;
+ sign = -1;
+ }
+ }
+
+ v0->prev = v1;
+ v1->next = v0;
+
+ v00->next = v10;
+ v10->prev = v00;
+
+ if (h1.minXy->point.x < h0.minXy->point.x) {
+ h0.minXy = h1.minXy;
+ }
+ if (h1.maxXy->point.x >= h0.maxXy->point.x) {
+ h0.maxXy = h1.maxXy;
+ }
+
+ h0.maxYx = h1.maxYx;
+
+ c0 = v00;
+ c1 = v10;
+
+ return true;
}
-void btConvexHullInternal::computeInternal(int32_t start, int32_t end, IntermediateHull &result) {
- int32_t n = end - start;
- switch (n) {
- case 0:
- result.minXy = NULL;
- result.maxXy = NULL;
- result.minYx = NULL;
- result.maxYx = NULL;
- return;
- case 2: {
- Vertex *v = originalVertices[start];
- Vertex *w = v + 1;
- if (v->point != w->point) {
- int32_t dx = v->point.x - w->point.x;
- int32_t dy = v->point.y - w->point.y;
-
- if ((dx == 0) && (dy == 0)) {
- if (v->point.z > w->point.z) {
- Vertex *t = w;
- w = v;
- v = t;
- }
- btAssert(v->point.z < w->point.z);
- v->next = v;
- v->prev = v;
- result.minXy = v;
- result.maxXy = v;
- result.minYx = v;
- result.maxYx = v;
- } else {
- v->next = w;
- v->prev = w;
- w->next = v;
- w->prev = v;
-
- if ((dx < 0) || ((dx == 0) && (dy < 0))) {
- result.minXy = v;
- result.maxXy = w;
- } else {
- result.minXy = w;
- result.maxXy = v;
- }
-
- if ((dy < 0) || ((dy == 0) && (dx < 0))) {
- result.minYx = v;
- result.maxYx = w;
- } else {
- result.minYx = w;
- result.maxYx = v;
- }
- }
-
- Edge *e = newEdgePair(v, w);
- e->link(e);
- v->edges = e;
-
- e = e->reverse;
- e->link(e);
- w->edges = e;
-
- return;
- }
- }
- // lint -fallthrough
- case 1: {
- Vertex *v = originalVertices[start];
- v->edges = NULL;
- v->next = v;
- v->prev = v;
-
- result.minXy = v;
- result.maxXy = v;
- result.minYx = v;
- result.maxYx = v;
-
- return;
- }
- }
-
- int32_t split0 = start + n / 2;
- Point32 p = originalVertices[split0 - 1]->point;
- int32_t split1 = split0;
- while ((split1 < end) && (originalVertices[split1]->point == p)) {
- split1++;
- }
- computeInternal(start, split0, result);
- IntermediateHull hull1;
- computeInternal(split1, end, hull1);
+void btConvexHullInternal::computeInternal(int32_t start, int32_t end, IntermediateHull& result)
+{
+ int32_t n = end - start;
+ switch (n) {
+ case 0:
+ result.minXy = NULL;
+ result.maxXy = NULL;
+ result.minYx = NULL;
+ result.maxYx = NULL;
+ return;
+ case 2: {
+ Vertex* v = originalVertices[start];
+ Vertex* w = v + 1;
+ if (v->point != w->point) {
+ int32_t dx = v->point.x - w->point.x;
+ int32_t dy = v->point.y - w->point.y;
+
+ if ((dx == 0) && (dy == 0)) {
+ if (v->point.z > w->point.z) {
+ Vertex* t = w;
+ w = v;
+ v = t;
+ }
+ btAssert(v->point.z < w->point.z);
+ v->next = v;
+ v->prev = v;
+ result.minXy = v;
+ result.maxXy = v;
+ result.minYx = v;
+ result.maxYx = v;
+ }
+ else {
+ v->next = w;
+ v->prev = w;
+ w->next = v;
+ w->prev = v;
+
+ if ((dx < 0) || ((dx == 0) && (dy < 0))) {
+ result.minXy = v;
+ result.maxXy = w;
+ }
+ else {
+ result.minXy = w;
+ result.maxXy = v;
+ }
+
+ if ((dy < 0) || ((dy == 0) && (dx < 0))) {
+ result.minYx = v;
+ result.maxYx = w;
+ }
+ else {
+ result.minYx = w;
+ result.maxYx = v;
+ }
+ }
+
+ Edge* e = newEdgePair(v, w);
+ e->link(e);
+ v->edges = e;
+
+ e = e->reverse;
+ e->link(e);
+ w->edges = e;
+
+ return;
+ }
+ }
+ // lint -fallthrough
+ case 1: {
+ Vertex* v = originalVertices[start];
+ v->edges = NULL;
+ v->next = v;
+ v->prev = v;
+
+ result.minXy = v;
+ result.maxXy = v;
+ result.minYx = v;
+ result.maxYx = v;
+
+ return;
+ }
+ }
+
+ int32_t split0 = start + n / 2;
+ Point32 p = originalVertices[split0 - 1]->point;
+ int32_t split1 = split0;
+ while ((split1 < end) && (originalVertices[split1]->point == p)) {
+ split1++;
+ }
+ computeInternal(start, split0, result);
+ IntermediateHull hull1;
+ computeInternal(split1, end, hull1);
#ifdef DEBUG_CONVEX_HULL
- printf("\n\nMerge\n");
- result.print();
- hull1.print();
+ printf("\n\nMerge\n");
+ result.print();
+ hull1.print();
#endif
- merge(result, hull1);
+ merge(result, hull1);
#ifdef DEBUG_CONVEX_HULL
- printf("\n Result\n");
- result.print();
+ printf("\n Result\n");
+ result.print();
#endif
}
#ifdef DEBUG_CONVEX_HULL
-void btConvexHullInternal::IntermediateHull::print() {
- printf(" Hull\n");
- for (Vertex *v = minXy; v;) {
- printf(" ");
- v->print();
- if (v == maxXy) {
- printf(" maxXy");
- }
- if (v == minYx) {
- printf(" minYx");
- }
- if (v == maxYx) {
- printf(" maxYx");
- }
- if (v->next->prev != v) {
- printf(" Inconsistency");
- }
- printf("\n");
- v = v->next;
- if (v == minXy) {
- break;
- }
- }
- if (minXy) {
- minXy->copy = (minXy->copy == -1) ? -2 : -1;
- minXy->printGraph();
- }
+void btConvexHullInternal::IntermediateHull::print()
+{
+ printf(" Hull\n");
+ for (Vertex* v = minXy; v;) {
+ printf(" ");
+ v->print();
+ if (v == maxXy) {
+ printf(" maxXy");
+ }
+ if (v == minYx) {
+ printf(" minYx");
+ }
+ if (v == maxYx) {
+ printf(" maxYx");
+ }
+ if (v->next->prev != v) {
+ printf(" Inconsistency");
+ }
+ printf("\n");
+ v = v->next;
+ if (v == minXy) {
+ break;
+ }
+ }
+ if (minXy) {
+ minXy->copy = (minXy->copy == -1) ? -2 : -1;
+ minXy->printGraph();
+ }
}
-void btConvexHullInternal::Vertex::printGraph() {
- print();
- printf("\nEdges\n");
- Edge *e = edges;
- if (e) {
- do {
- e->print();
- printf("\n");
- e = e->next;
- } while (e != edges);
- do {
- Vertex *v = e->target;
- if (v->copy != copy) {
- v->copy = copy;
- v->printGraph();
- }
- e = e->next;
- } while (e != edges);
- }
+void btConvexHullInternal::Vertex::printGraph()
+{
+ print();
+ printf("\nEdges\n");
+ Edge* e = edges;
+ if (e) {
+ do {
+ e->print();
+ printf("\n");
+ e = e->next;
+ } while (e != edges);
+ do {
+ Vertex* v = e->target;
+ if (v->copy != copy) {
+ v->copy = copy;
+ v->printGraph();
+ }
+ e = e->next;
+ } while (e != edges);
+ }
}
#endif
-btConvexHullInternal::Orientation btConvexHullInternal::getOrientation(const Edge *prev, const Edge *next, const Point32 &s, const Point32 &t) {
- btAssert(prev->reverse->target == next->reverse->target);
- if (prev->next == next) {
- if (prev->prev == next) {
- Point64 n = t.cross(s);
- Point64 m = (*prev->target - *next->reverse->target).cross(*next->target - *next->reverse->target);
- btAssert(!m.isZero());
- int64_t dot = n.dot(m);
- btAssert(dot != 0);
- return (dot > 0) ? COUNTER_CLOCKWISE : CLOCKWISE;
- }
- return COUNTER_CLOCKWISE;
- } else if (prev->prev == next) {
- return CLOCKWISE;
- } else {
- return NONE;
- }
+btConvexHullInternal::Orientation btConvexHullInternal::getOrientation(const Edge* prev, const Edge* next, const Point32& s, const Point32& t)
+{
+ btAssert(prev->reverse->target == next->reverse->target);
+ if (prev->next == next) {
+ if (prev->prev == next) {
+ Point64 n = t.cross(s);
+ Point64 m = (*prev->target - *next->reverse->target).cross(*next->target - *next->reverse->target);
+ btAssert(!m.isZero());
+ int64_t dot = n.dot(m);
+ btAssert(dot != 0);
+ return (dot > 0) ? COUNTER_CLOCKWISE : CLOCKWISE;
+ }
+ return COUNTER_CLOCKWISE;
+ }
+ else if (prev->prev == next) {
+ return CLOCKWISE;
+ }
+ else {
+ return NONE;
+ }
}
-btConvexHullInternal::Edge *btConvexHullInternal::findMaxAngle(bool ccw, const Vertex *start, const Point32 &s, const Point64 &rxs, const Point64 &sxrxs, Rational64 &minCot) {
- Edge *minEdge = NULL;
+btConvexHullInternal::Edge* btConvexHullInternal::findMaxAngle(bool ccw, const Vertex* start, const Point32& s, const Point64& rxs, const Point64& sxrxs, Rational64& minCot)
+{
+ Edge* minEdge = NULL;
#ifdef DEBUG_CONVEX_HULL
- printf("find max edge for %d\n", start->point.index);
+ printf("find max edge for %d\n", start->point.index);
#endif
- Edge *e = start->edges;
- if (e) {
- do {
- if (e->copy > mergeStamp) {
- Point32 t = *e->target - *start;
- Rational64 cot(t.dot(sxrxs), t.dot(rxs));
+ Edge* e = start->edges;
+ if (e) {
+ do {
+ if (e->copy > mergeStamp) {
+ Point32 t = *e->target - *start;
+ Rational64 cot(t.dot(sxrxs), t.dot(rxs));
#ifdef DEBUG_CONVEX_HULL
- printf(" Angle is %f (%d) for ", (float)btAtan(cot.toScalar()), (int32_t)cot.isNaN());
- e->print();
+ printf(" Angle is %f (%d) for ", (float)btAtan(cot.toScalar()), (int32_t)cot.isNaN());
+ e->print();
#endif
- if (cot.isNaN()) {
- btAssert(ccw ? (t.dot(s) < 0) : (t.dot(s) > 0));
- } else {
- int32_t cmp;
- if (minEdge == NULL) {
- minCot = cot;
- minEdge = e;
- } else if ((cmp = cot.compare(minCot)) < 0) {
- minCot = cot;
- minEdge = e;
- } else if ((cmp == 0) && (ccw == (getOrientation(minEdge, e, s, t) == COUNTER_CLOCKWISE))) {
- minEdge = e;
- }
- }
+ if (cot.isNaN()) {
+ btAssert(ccw ? (t.dot(s) < 0) : (t.dot(s) > 0));
+ }
+ else {
+ int32_t cmp;
+ if (minEdge == NULL) {
+ minCot = cot;
+ minEdge = e;
+ }
+ else if ((cmp = cot.compare(minCot)) < 0) {
+ minCot = cot;
+ minEdge = e;
+ }
+ else if ((cmp == 0) && (ccw == (getOrientation(minEdge, e, s, t) == COUNTER_CLOCKWISE))) {
+ minEdge = e;
+ }
+ }
#ifdef DEBUG_CONVEX_HULL
- printf("\n");
+ printf("\n");
#endif
- }
- e = e->next;
- } while (e != start->edges);
- }
- return minEdge;
+ }
+ e = e->next;
+ } while (e != start->edges);
+ }
+ return minEdge;
}
-void btConvexHullInternal::findEdgeForCoplanarFaces(Vertex *c0, Vertex *c1, Edge *&e0, Edge *&e1, Vertex *stop0, Vertex *stop1) {
- Edge *start0 = e0;
- Edge *start1 = e1;
- Point32 et0 = start0 ? start0->target->point : c0->point;
- Point32 et1 = start1 ? start1->target->point : c1->point;
- Point32 s = c1->point - c0->point;
- Point64 normal = ((start0 ? start0 : start1)->target->point - c0->point).cross(s);
- int64_t dist = c0->point.dot(normal);
- btAssert(!start1 || (start1->target->point.dot(normal) == dist));
- Point64 perp = s.cross(normal);
- btAssert(!perp.isZero());
+void btConvexHullInternal::findEdgeForCoplanarFaces(Vertex* c0, Vertex* c1, Edge*& e0, Edge*& e1, Vertex* stop0, Vertex* stop1)
+{
+ Edge* start0 = e0;
+ Edge* start1 = e1;
+ Point32 et0 = start0 ? start0->target->point : c0->point;
+ Point32 et1 = start1 ? start1->target->point : c1->point;
+ Point32 s = c1->point - c0->point;
+ Point64 normal = ((start0 ? start0 : start1)->target->point - c0->point).cross(s);
+ int64_t dist = c0->point.dot(normal);
+ btAssert(!start1 || (start1->target->point.dot(normal) == dist));
+ Point64 perp = s.cross(normal);
+ btAssert(!perp.isZero());
#ifdef DEBUG_CONVEX_HULL
- printf(" Advancing %d %d (%p %p, %d %d)\n", c0->point.index, c1->point.index, start0, start1, start0 ? start0->target->point.index : -1, start1 ? start1->target->point.index : -1);
+ printf(" Advancing %d %d (%p %p, %d %d)\n", c0->point.index, c1->point.index, start0, start1, start0 ? start0->target->point.index : -1, start1 ? start1->target->point.index : -1);
#endif
- int64_t maxDot0 = et0.dot(perp);
- if (e0) {
- while (e0->target != stop0) {
- Edge *e = e0->reverse->prev;
- if (e->target->point.dot(normal) < dist) {
- break;
- }
- btAssert(e->target->point.dot(normal) == dist);
- if (e->copy == mergeStamp) {
- break;
- }
- int64_t dot = e->target->point.dot(perp);
- if (dot <= maxDot0) {
- break;
- }
- maxDot0 = dot;
- e0 = e;
- et0 = e->target->point;
- }
- }
-
- int64_t maxDot1 = et1.dot(perp);
- if (e1) {
- while (e1->target != stop1) {
- Edge *e = e1->reverse->next;
- if (e->target->point.dot(normal) < dist) {
- break;
- }
- btAssert(e->target->point.dot(normal) == dist);
- if (e->copy == mergeStamp) {
- break;
- }
- int64_t dot = e->target->point.dot(perp);
- if (dot <= maxDot1) {
- break;
- }
- maxDot1 = dot;
- e1 = e;
- et1 = e->target->point;
- }
- }
+ int64_t maxDot0 = et0.dot(perp);
+ if (e0) {
+ while (e0->target != stop0) {
+ Edge* e = e0->reverse->prev;
+ if (e->target->point.dot(normal) < dist) {
+ break;
+ }
+ btAssert(e->target->point.dot(normal) == dist);
+ if (e->copy == mergeStamp) {
+ break;
+ }
+ int64_t dot = e->target->point.dot(perp);
+ if (dot <= maxDot0) {
+ break;
+ }
+ maxDot0 = dot;
+ e0 = e;
+ et0 = e->target->point;
+ }
+ }
+
+ int64_t maxDot1 = et1.dot(perp);
+ if (e1) {
+ while (e1->target != stop1) {
+ Edge* e = e1->reverse->next;
+ if (e->target->point.dot(normal) < dist) {
+ break;
+ }
+ btAssert(e->target->point.dot(normal) == dist);
+ if (e->copy == mergeStamp) {
+ break;
+ }
+ int64_t dot = e->target->point.dot(perp);
+ if (dot <= maxDot1) {
+ break;
+ }
+ maxDot1 = dot;
+ e1 = e;
+ et1 = e->target->point;
+ }
+ }
#ifdef DEBUG_CONVEX_HULL
- printf(" Starting at %d %d\n", et0.index, et1.index);
+ printf(" Starting at %d %d\n", et0.index, et1.index);
#endif
- int64_t dx = maxDot1 - maxDot0;
- if (dx > 0) {
- while (true) {
- int64_t dy = (et1 - et0).dot(s);
-
- if (e0 && (e0->target != stop0)) {
- Edge *f0 = e0->next->reverse;
- if (f0->copy > mergeStamp) {
- int64_t dx0 = (f0->target->point - et0).dot(perp);
- int64_t dy0 = (f0->target->point - et0).dot(s);
- if ((dx0 == 0) ? (dy0 < 0) : ((dx0 < 0) && (Rational64(dy0, dx0).compare(Rational64(dy, dx)) >= 0))) {
- et0 = f0->target->point;
- dx = (et1 - et0).dot(perp);
- e0 = (e0 == start0) ? NULL : f0;
- continue;
- }
- }
- }
-
- if (e1 && (e1->target != stop1)) {
- Edge *f1 = e1->reverse->next;
- if (f1->copy > mergeStamp) {
- Point32 d1 = f1->target->point - et1;
- if (d1.dot(normal) == 0) {
- int64_t dx1 = d1.dot(perp);
- int64_t dy1 = d1.dot(s);
- int64_t dxn = (f1->target->point - et0).dot(perp);
- if ((dxn > 0) && ((dx1 == 0) ? (dy1 < 0) : ((dx1 < 0) && (Rational64(dy1, dx1).compare(Rational64(dy, dx)) > 0)))) {
- e1 = f1;
- et1 = e1->target->point;
- dx = dxn;
- continue;
- }
- } else {
- btAssert((e1 == start1) && (d1.dot(normal) < 0));
- }
- }
- }
-
- break;
- }
- } else if (dx < 0) {
- while (true) {
- int64_t dy = (et1 - et0).dot(s);
-
- if (e1 && (e1->target != stop1)) {
- Edge *f1 = e1->prev->reverse;
- if (f1->copy > mergeStamp) {
- int64_t dx1 = (f1->target->point - et1).dot(perp);
- int64_t dy1 = (f1->target->point - et1).dot(s);
- if ((dx1 == 0) ? (dy1 > 0) : ((dx1 < 0) && (Rational64(dy1, dx1).compare(Rational64(dy, dx)) <= 0))) {
- et1 = f1->target->point;
- dx = (et1 - et0).dot(perp);
- e1 = (e1 == start1) ? NULL : f1;
- continue;
- }
- }
- }
-
- if (e0 && (e0->target != stop0)) {
- Edge *f0 = e0->reverse->prev;
- if (f0->copy > mergeStamp) {
- Point32 d0 = f0->target->point - et0;
- if (d0.dot(normal) == 0) {
- int64_t dx0 = d0.dot(perp);
- int64_t dy0 = d0.dot(s);
- int64_t dxn = (et1 - f0->target->point).dot(perp);
- if ((dxn < 0) && ((dx0 == 0) ? (dy0 > 0) : ((dx0 < 0) && (Rational64(dy0, dx0).compare(Rational64(dy, dx)) < 0)))) {
- e0 = f0;
- et0 = e0->target->point;
- dx = dxn;
- continue;
- }
- } else {
- btAssert((e0 == start0) && (d0.dot(normal) < 0));
- }
- }
- }
-
- break;
- }
- }
+ int64_t dx = maxDot1 - maxDot0;
+ if (dx > 0) {
+ while (true) {
+ int64_t dy = (et1 - et0).dot(s);
+
+ if (e0 && (e0->target != stop0)) {
+ Edge* f0 = e0->next->reverse;
+ if (f0->copy > mergeStamp) {
+ int64_t dx0 = (f0->target->point - et0).dot(perp);
+ int64_t dy0 = (f0->target->point - et0).dot(s);
+ if ((dx0 == 0) ? (dy0 < 0) : ((dx0 < 0) && (Rational64(dy0, dx0).compare(Rational64(dy, dx)) >= 0))) {
+ et0 = f0->target->point;
+ dx = (et1 - et0).dot(perp);
+ e0 = (e0 == start0) ? NULL : f0;
+ continue;
+ }
+ }
+ }
+
+ if (e1 && (e1->target != stop1)) {
+ Edge* f1 = e1->reverse->next;
+ if (f1->copy > mergeStamp) {
+ Point32 d1 = f1->target->point - et1;
+ if (d1.dot(normal) == 0) {
+ int64_t dx1 = d1.dot(perp);
+ int64_t dy1 = d1.dot(s);
+ int64_t dxn = (f1->target->point - et0).dot(perp);
+ if ((dxn > 0) && ((dx1 == 0) ? (dy1 < 0) : ((dx1 < 0) && (Rational64(dy1, dx1).compare(Rational64(dy, dx)) > 0)))) {
+ e1 = f1;
+ et1 = e1->target->point;
+ dx = dxn;
+ continue;
+ }
+ }
+ else {
+ btAssert((e1 == start1) && (d1.dot(normal) < 0));
+ }
+ }
+ }
+
+ break;
+ }
+ }
+ else if (dx < 0) {
+ while (true) {
+ int64_t dy = (et1 - et0).dot(s);
+
+ if (e1 && (e1->target != stop1)) {
+ Edge* f1 = e1->prev->reverse;
+ if (f1->copy > mergeStamp) {
+ int64_t dx1 = (f1->target->point - et1).dot(perp);
+ int64_t dy1 = (f1->target->point - et1).dot(s);
+ if ((dx1 == 0) ? (dy1 > 0) : ((dx1 < 0) && (Rational64(dy1, dx1).compare(Rational64(dy, dx)) <= 0))) {
+ et1 = f1->target->point;
+ dx = (et1 - et0).dot(perp);
+ e1 = (e1 == start1) ? NULL : f1;
+ continue;
+ }
+ }
+ }
+
+ if (e0 && (e0->target != stop0)) {
+ Edge* f0 = e0->reverse->prev;
+ if (f0->copy > mergeStamp) {
+ Point32 d0 = f0->target->point - et0;
+ if (d0.dot(normal) == 0) {
+ int64_t dx0 = d0.dot(perp);
+ int64_t dy0 = d0.dot(s);
+ int64_t dxn = (et1 - f0->target->point).dot(perp);
+ if ((dxn < 0) && ((dx0 == 0) ? (dy0 > 0) : ((dx0 < 0) && (Rational64(dy0, dx0).compare(Rational64(dy, dx)) < 0)))) {
+ e0 = f0;
+ et0 = e0->target->point;
+ dx = dxn;
+ continue;
+ }
+ }
+ else {
+ btAssert((e0 == start0) && (d0.dot(normal) < 0));
+ }
+ }
+ }
+
+ break;
+ }
+ }
#ifdef DEBUG_CONVEX_HULL
- printf(" Advanced edges to %d %d\n", et0.index, et1.index);
+ printf(" Advanced edges to %d %d\n", et0.index, et1.index);
#endif
}
-void btConvexHullInternal::merge(IntermediateHull &h0, IntermediateHull &h1) {
- if (!h1.maxXy) {
- return;
- }
- if (!h0.maxXy) {
- h0 = h1;
- return;
- }
-
- mergeStamp--;
-
- Vertex *c0 = NULL;
- Edge *toPrev0 = NULL;
- Edge *firstNew0 = NULL;
- Edge *pendingHead0 = NULL;
- Edge *pendingTail0 = NULL;
- Vertex *c1 = NULL;
- Edge *toPrev1 = NULL;
- Edge *firstNew1 = NULL;
- Edge *pendingHead1 = NULL;
- Edge *pendingTail1 = NULL;
- Point32 prevPoint;
-
- if (mergeProjection(h0, h1, c0, c1)) {
- Point32 s = *c1 - *c0;
- Point64 normal = Point32(0, 0, -1).cross(s);
- Point64 t = s.cross(normal);
- btAssert(!t.isZero());
-
- Edge *e = c0->edges;
- Edge *start0 = NULL;
- if (e) {
- do {
- int64_t dot = (*e->target - *c0).dot(normal);
- btAssert(dot <= 0);
- if ((dot == 0) && ((*e->target - *c0).dot(t) > 0)) {
- if (!start0 || (getOrientation(start0, e, s, Point32(0, 0, -1)) == CLOCKWISE)) {
- start0 = e;
- }
- }
- e = e->next;
- } while (e != c0->edges);
- }
-
- e = c1->edges;
- Edge *start1 = NULL;
- if (e) {
- do {
- int64_t dot = (*e->target - *c1).dot(normal);
- btAssert(dot <= 0);
- if ((dot == 0) && ((*e->target - *c1).dot(t) > 0)) {
- if (!start1 || (getOrientation(start1, e, s, Point32(0, 0, -1)) == COUNTER_CLOCKWISE)) {
- start1 = e;
- }
- }
- e = e->next;
- } while (e != c1->edges);
- }
-
- if (start0 || start1) {
- findEdgeForCoplanarFaces(c0, c1, start0, start1, NULL, NULL);
- if (start0) {
- c0 = start0->target;
- }
- if (start1) {
- c1 = start1->target;
- }
- }
-
- prevPoint = c1->point;
- prevPoint.z++;
- } else {
- prevPoint = c1->point;
- prevPoint.x++;
- }
-
- Vertex *first0 = c0;
- Vertex *first1 = c1;
- bool firstRun = true;
-
- while (true) {
- Point32 s = *c1 - *c0;
- Point32 r = prevPoint - c0->point;
- Point64 rxs = r.cross(s);
- Point64 sxrxs = s.cross(rxs);
+void btConvexHullInternal::merge(IntermediateHull& h0, IntermediateHull& h1)
+{
+ if (!h1.maxXy) {
+ return;
+ }
+ if (!h0.maxXy) {
+ h0 = h1;
+ return;
+ }
+
+ mergeStamp--;
+
+ Vertex* c0 = NULL;
+ Edge* toPrev0 = NULL;
+ Edge* firstNew0 = NULL;
+ Edge* pendingHead0 = NULL;
+ Edge* pendingTail0 = NULL;
+ Vertex* c1 = NULL;
+ Edge* toPrev1 = NULL;
+ Edge* firstNew1 = NULL;
+ Edge* pendingHead1 = NULL;
+ Edge* pendingTail1 = NULL;
+ Point32 prevPoint;
+
+ if (mergeProjection(h0, h1, c0, c1)) {
+ Point32 s = *c1 - *c0;
+ Point64 normal = Point32(0, 0, -1).cross(s);
+ Point64 t = s.cross(normal);
+ btAssert(!t.isZero());
+
+ Edge* e = c0->edges;
+ Edge* start0 = NULL;
+ if (e) {
+ do {
+ int64_t dot = (*e->target - *c0).dot(normal);
+ btAssert(dot <= 0);
+ if ((dot == 0) && ((*e->target - *c0).dot(t) > 0)) {
+ if (!start0 || (getOrientation(start0, e, s, Point32(0, 0, -1)) == CLOCKWISE)) {
+ start0 = e;
+ }
+ }
+ e = e->next;
+ } while (e != c0->edges);
+ }
+
+ e = c1->edges;
+ Edge* start1 = NULL;
+ if (e) {
+ do {
+ int64_t dot = (*e->target - *c1).dot(normal);
+ btAssert(dot <= 0);
+ if ((dot == 0) && ((*e->target - *c1).dot(t) > 0)) {
+ if (!start1 || (getOrientation(start1, e, s, Point32(0, 0, -1)) == COUNTER_CLOCKWISE)) {
+ start1 = e;
+ }
+ }
+ e = e->next;
+ } while (e != c1->edges);
+ }
+
+ if (start0 || start1) {
+ findEdgeForCoplanarFaces(c0, c1, start0, start1, NULL, NULL);
+ if (start0) {
+ c0 = start0->target;
+ }
+ if (start1) {
+ c1 = start1->target;
+ }
+ }
+
+ prevPoint = c1->point;
+ prevPoint.z++;
+ }
+ else {
+ prevPoint = c1->point;
+ prevPoint.x++;
+ }
+
+ Vertex* first0 = c0;
+ Vertex* first1 = c1;
+ bool firstRun = true;
+
+ while (true) {
+ Point32 s = *c1 - *c0;
+ Point32 r = prevPoint - c0->point;
+ Point64 rxs = r.cross(s);
+ Point64 sxrxs = s.cross(rxs);
#ifdef DEBUG_CONVEX_HULL
- printf("\n Checking %d %d\n", c0->point.index, c1->point.index);
+ printf("\n Checking %d %d\n", c0->point.index, c1->point.index);
#endif
- Rational64 minCot0(0, 0);
- Edge *min0 = findMaxAngle(false, c0, s, rxs, sxrxs, minCot0);
- Rational64 minCot1(0, 0);
- Edge *min1 = findMaxAngle(true, c1, s, rxs, sxrxs, minCot1);
- if (!min0 && !min1) {
- Edge *e = newEdgePair(c0, c1);
- e->link(e);
- c0->edges = e;
-
- e = e->reverse;
- e->link(e);
- c1->edges = e;
- return;
- } else {
- int32_t cmp = !min0 ? 1 : !min1 ? -1 : minCot0.compare(minCot1);
+ Rational64 minCot0(0, 0);
+ Edge* min0 = findMaxAngle(false, c0, s, rxs, sxrxs, minCot0);
+ Rational64 minCot1(0, 0);
+ Edge* min1 = findMaxAngle(true, c1, s, rxs, sxrxs, minCot1);
+ if (!min0 && !min1) {
+ Edge* e = newEdgePair(c0, c1);
+ e->link(e);
+ c0->edges = e;
+
+ e = e->reverse;
+ e->link(e);
+ c1->edges = e;
+ return;
+ }
+ else {
+ int32_t cmp = !min0 ? 1 : !min1 ? -1 : minCot0.compare(minCot1);
#ifdef DEBUG_CONVEX_HULL
- printf(" -> Result %d\n", cmp);
+ printf(" -> Result %d\n", cmp);
#endif
- if (firstRun || ((cmp >= 0) ? !minCot1.isNegativeInfinity() : !minCot0.isNegativeInfinity())) {
- Edge *e = newEdgePair(c0, c1);
- if (pendingTail0) {
- pendingTail0->prev = e;
- } else {
- pendingHead0 = e;
- }
- e->next = pendingTail0;
- pendingTail0 = e;
-
- e = e->reverse;
- if (pendingTail1) {
- pendingTail1->next = e;
- } else {
- pendingHead1 = e;
- }
- e->prev = pendingTail1;
- pendingTail1 = e;
- }
-
- Edge *e0 = min0;
- Edge *e1 = min1;
+ if (firstRun || ((cmp >= 0) ? !minCot1.isNegativeInfinity() : !minCot0.isNegativeInfinity())) {
+ Edge* e = newEdgePair(c0, c1);
+ if (pendingTail0) {
+ pendingTail0->prev = e;
+ }
+ else {
+ pendingHead0 = e;
+ }
+ e->next = pendingTail0;
+ pendingTail0 = e;
+
+ e = e->reverse;
+ if (pendingTail1) {
+ pendingTail1->next = e;
+ }
+ else {
+ pendingHead1 = e;
+ }
+ e->prev = pendingTail1;
+ pendingTail1 = e;
+ }
+
+ Edge* e0 = min0;
+ Edge* e1 = min1;
#ifdef DEBUG_CONVEX_HULL
- printf(" Found min edges to %d %d\n", e0 ? e0->target->point.index : -1, e1 ? e1->target->point.index : -1);
+ printf(" Found min edges to %d %d\n", e0 ? e0->target->point.index : -1, e1 ? e1->target->point.index : -1);
#endif
- if (cmp == 0) {
- findEdgeForCoplanarFaces(c0, c1, e0, e1, NULL, NULL);
- }
-
- if ((cmp >= 0) && e1) {
- if (toPrev1) {
- for (Edge *e = toPrev1->next, *n = NULL; e != min1; e = n) {
- n = e->next;
- removeEdgePair(e);
- }
- }
-
- if (pendingTail1) {
- if (toPrev1) {
- toPrev1->link(pendingHead1);
- } else {
- min1->prev->link(pendingHead1);
- firstNew1 = pendingHead1;
- }
- pendingTail1->link(min1);
- pendingHead1 = NULL;
- pendingTail1 = NULL;
- } else if (!toPrev1) {
- firstNew1 = min1;
- }
-
- prevPoint = c1->point;
- c1 = e1->target;
- toPrev1 = e1->reverse;
- }
-
- if ((cmp <= 0) && e0) {
- if (toPrev0) {
- for (Edge *e = toPrev0->prev, *n = NULL; e != min0; e = n) {
- n = e->prev;
- removeEdgePair(e);
- }
- }
-
- if (pendingTail0) {
- if (toPrev0) {
- pendingHead0->link(toPrev0);
- } else {
- pendingHead0->link(min0->next);
- firstNew0 = pendingHead0;
- }
- min0->link(pendingTail0);
- pendingHead0 = NULL;
- pendingTail0 = NULL;
- } else if (!toPrev0) {
- firstNew0 = min0;
- }
-
- prevPoint = c0->point;
- c0 = e0->target;
- toPrev0 = e0->reverse;
- }
- }
-
- if ((c0 == first0) && (c1 == first1)) {
- if (toPrev0 == NULL) {
- pendingHead0->link(pendingTail0);
- c0->edges = pendingTail0;
- } else {
- for (Edge *e = toPrev0->prev, *n = NULL; e != firstNew0; e = n) {
- n = e->prev;
- removeEdgePair(e);
- }
- if (pendingTail0) {
- pendingHead0->link(toPrev0);
- firstNew0->link(pendingTail0);
- }
- }
-
- if (toPrev1 == NULL) {
- pendingTail1->link(pendingHead1);
- c1->edges = pendingTail1;
- } else {
- for (Edge *e = toPrev1->next, *n = NULL; e != firstNew1; e = n) {
- n = e->next;
- removeEdgePair(e);
- }
- if (pendingTail1) {
- toPrev1->link(pendingHead1);
- pendingTail1->link(firstNew1);
- }
- }
-
- return;
- }
-
- firstRun = false;
- }
+ if (cmp == 0) {
+ findEdgeForCoplanarFaces(c0, c1, e0, e1, NULL, NULL);
+ }
+
+ if ((cmp >= 0) && e1) {
+ if (toPrev1) {
+ for (Edge *e = toPrev1->next, *n = NULL; e != min1; e = n) {
+ n = e->next;
+ removeEdgePair(e);
+ }
+ }
+
+ if (pendingTail1) {
+ if (toPrev1) {
+ toPrev1->link(pendingHead1);
+ }
+ else {
+ min1->prev->link(pendingHead1);
+ firstNew1 = pendingHead1;
+ }
+ pendingTail1->link(min1);
+ pendingHead1 = NULL;
+ pendingTail1 = NULL;
+ }
+ else if (!toPrev1) {
+ firstNew1 = min1;
+ }
+
+ prevPoint = c1->point;
+ c1 = e1->target;
+ toPrev1 = e1->reverse;
+ }
+
+ if ((cmp <= 0) && e0) {
+ if (toPrev0) {
+ for (Edge *e = toPrev0->prev, *n = NULL; e != min0; e = n) {
+ n = e->prev;
+ removeEdgePair(e);
+ }
+ }
+
+ if (pendingTail0) {
+ if (toPrev0) {
+ pendingHead0->link(toPrev0);
+ }
+ else {
+ pendingHead0->link(min0->next);
+ firstNew0 = pendingHead0;
+ }
+ min0->link(pendingTail0);
+ pendingHead0 = NULL;
+ pendingTail0 = NULL;
+ }
+ else if (!toPrev0) {
+ firstNew0 = min0;
+ }
+
+ prevPoint = c0->point;
+ c0 = e0->target;
+ toPrev0 = e0->reverse;
+ }
+ }
+
+ if ((c0 == first0) && (c1 == first1)) {
+ if (toPrev0 == NULL) {
+ pendingHead0->link(pendingTail0);
+ c0->edges = pendingTail0;
+ }
+ else {
+ for (Edge *e = toPrev0->prev, *n = NULL; e != firstNew0; e = n) {
+ n = e->prev;
+ removeEdgePair(e);
+ }
+ if (pendingTail0) {
+ pendingHead0->link(toPrev0);
+ firstNew0->link(pendingTail0);
+ }
+ }
+
+ if (toPrev1 == NULL) {
+ pendingTail1->link(pendingHead1);
+ c1->edges = pendingTail1;
+ }
+ else {
+ for (Edge *e = toPrev1->next, *n = NULL; e != firstNew1; e = n) {
+ n = e->next;
+ removeEdgePair(e);
+ }
+ if (pendingTail1) {
+ toPrev1->link(pendingHead1);
+ pendingTail1->link(firstNew1);
+ }
+ }
+
+ return;
+ }
+
+ firstRun = false;
+ }
}
-static bool pointCmp(const btConvexHullInternal::Point32 &p, const btConvexHullInternal::Point32 &q) {
- return (p.y < q.y) || ((p.y == q.y) && ((p.x < q.x) || ((p.x == q.x) && (p.z < q.z))));
+static bool pointCmp(const btConvexHullInternal::Point32& p, const btConvexHullInternal::Point32& q)
+{
+ return (p.y < q.y) || ((p.y == q.y) && ((p.x < q.x) || ((p.x == q.x) && (p.z < q.z))));
}
-void btConvexHullInternal::compute(const void *coords, bool doubleCoords, int32_t stride, int32_t count) {
- btVector3 min(btScalar(1e30), btScalar(1e30), btScalar(1e30)), max(btScalar(-1e30), btScalar(-1e30), btScalar(-1e30));
- const char *ptr = (const char *)coords;
- if (doubleCoords) {
- for (int32_t i = 0; i < count; i++) {
- const double *v = (const double *)ptr;
- btVector3 p((btScalar)v[0], (btScalar)v[1], (btScalar)v[2]);
- ptr += stride;
- min.setMin(p);
- max.setMax(p);
- }
- } else {
- for (int32_t i = 0; i < count; i++) {
- const float *v = (const float *)ptr;
- btVector3 p(v[0], v[1], v[2]);
- ptr += stride;
- min.setMin(p);
- max.setMax(p);
- }
- }
-
- btVector3 s = max - min;
- maxAxis = s.maxAxis();
- minAxis = s.minAxis();
- if (minAxis == maxAxis) {
- minAxis = (maxAxis + 1) % 3;
- }
- medAxis = 3 - maxAxis - minAxis;
-
- s /= btScalar(10216);
- if (((medAxis + 1) % 3) != maxAxis) {
- s *= -1;
- }
- scaling = s;
-
- if (s[0] != 0) {
- s[0] = btScalar(1) / s[0];
- }
- if (s[1] != 0) {
- s[1] = btScalar(1) / s[1];
- }
- if (s[2] != 0) {
- s[2] = btScalar(1) / s[2];
- }
-
- center = (min + max) * btScalar(0.5);
-
- btAlignedObjectArray<Point32> points;
- points.resize(count);
- ptr = (const char *)coords;
- if (doubleCoords) {
- for (int32_t i = 0; i < count; i++) {
- const double *v = (const double *)ptr;
- btVector3 p((btScalar)v[0], (btScalar)v[1], (btScalar)v[2]);
- ptr += stride;
- p = (p - center) * s;
- points[i].x = (int32_t)p[medAxis];
- points[i].y = (int32_t)p[maxAxis];
- points[i].z = (int32_t)p[minAxis];
- points[i].index = i;
- }
- } else {
- for (int32_t i = 0; i < count; i++) {
- const float *v = (const float *)ptr;
- btVector3 p(v[0], v[1], v[2]);
- ptr += stride;
- p = (p - center) * s;
- points[i].x = (int32_t)p[medAxis];
- points[i].y = (int32_t)p[maxAxis];
- points[i].z = (int32_t)p[minAxis];
- points[i].index = i;
- }
- }
- points.quickSort(pointCmp);
-
- vertexPool.reset();
- vertexPool.setArraySize(count);
- originalVertices.resize(count);
- for (int32_t i = 0; i < count; i++) {
- Vertex *v = vertexPool.newObject();
- v->edges = NULL;
- v->point = points[i];
- v->copy = -1;
- originalVertices[i] = v;
- }
-
- points.clear();
-
- edgePool.reset();
- edgePool.setArraySize(6 * count);
-
- usedEdgePairs = 0;
- maxUsedEdgePairs = 0;
-
- mergeStamp = -3;
-
- IntermediateHull hull;
- computeInternal(0, count, hull);
- vertexList = hull.minXy;
+void btConvexHullInternal::compute(const void* coords, bool doubleCoords, int32_t stride, int32_t count)
+{
+ btVector3 min(btScalar(1e30), btScalar(1e30), btScalar(1e30)), max(btScalar(-1e30), btScalar(-1e30), btScalar(-1e30));
+ const char* ptr = (const char*)coords;
+ if (doubleCoords) {
+ for (int32_t i = 0; i < count; i++) {
+ const double* v = (const double*)ptr;
+ btVector3 p((btScalar)v[0], (btScalar)v[1], (btScalar)v[2]);
+ ptr += stride;
+ min.setMin(p);
+ max.setMax(p);
+ }
+ }
+ else {
+ for (int32_t i = 0; i < count; i++) {
+ const float* v = (const float*)ptr;
+ btVector3 p(v[0], v[1], v[2]);
+ ptr += stride;
+ min.setMin(p);
+ max.setMax(p);
+ }
+ }
+
+ btVector3 s = max - min;
+ maxAxis = s.maxAxis();
+ minAxis = s.minAxis();
+ if (minAxis == maxAxis) {
+ minAxis = (maxAxis + 1) % 3;
+ }
+ medAxis = 3 - maxAxis - minAxis;
+
+ s /= btScalar(10216);
+ if (((medAxis + 1) % 3) != maxAxis) {
+ s *= -1;
+ }
+ scaling = s;
+
+ if (s[0] != 0) {
+ s[0] = btScalar(1) / s[0];
+ }
+ if (s[1] != 0) {
+ s[1] = btScalar(1) / s[1];
+ }
+ if (s[2] != 0) {
+ s[2] = btScalar(1) / s[2];
+ }
+
+ center = (min + max) * btScalar(0.5);
+
+ btAlignedObjectArray<Point32> points;
+ points.resize(count);
+ ptr = (const char*)coords;
+ if (doubleCoords) {
+ for (int32_t i = 0; i < count; i++) {
+ const double* v = (const double*)ptr;
+ btVector3 p((btScalar)v[0], (btScalar)v[1], (btScalar)v[2]);
+ ptr += stride;
+ p = (p - center) * s;
+ points[i].x = (int32_t)p[medAxis];
+ points[i].y = (int32_t)p[maxAxis];
+ points[i].z = (int32_t)p[minAxis];
+ points[i].index = i;
+ }
+ }
+ else {
+ for (int32_t i = 0; i < count; i++) {
+ const float* v = (const float*)ptr;
+ btVector3 p(v[0], v[1], v[2]);
+ ptr += stride;
+ p = (p - center) * s;
+ points[i].x = (int32_t)p[medAxis];
+ points[i].y = (int32_t)p[maxAxis];
+ points[i].z = (int32_t)p[minAxis];
+ points[i].index = i;
+ }
+ }
+ points.quickSort(pointCmp);
+
+ vertexPool.reset();
+ vertexPool.setArraySize(count);
+ originalVertices.resize(count);
+ for (int32_t i = 0; i < count; i++) {
+ Vertex* v = vertexPool.newObject();
+ v->edges = NULL;
+ v->point = points[i];
+ v->copy = -1;
+ originalVertices[i] = v;
+ }
+
+ points.clear();
+
+ edgePool.reset();
+ edgePool.setArraySize(6 * count);
+
+ usedEdgePairs = 0;
+ maxUsedEdgePairs = 0;
+
+ mergeStamp = -3;
+
+ IntermediateHull hull;
+ computeInternal(0, count, hull);
+ vertexList = hull.minXy;
#ifdef DEBUG_CONVEX_HULL
- printf("max. edges %d (3v = %d)", maxUsedEdgePairs, 3 * count);
+ printf("max. edges %d (3v = %d)", maxUsedEdgePairs, 3 * count);
#endif
}
-btVector3 btConvexHullInternal::toBtVector(const Point32 &v) {
- btVector3 p;
- p[medAxis] = btScalar(v.x);
- p[maxAxis] = btScalar(v.y);
- p[minAxis] = btScalar(v.z);
- return p * scaling;
+btVector3 btConvexHullInternal::toBtVector(const Point32& v)
+{
+ btVector3 p;
+ p[medAxis] = btScalar(v.x);
+ p[maxAxis] = btScalar(v.y);
+ p[minAxis] = btScalar(v.z);
+ return p * scaling;
}
-btVector3 btConvexHullInternal::getBtNormal(Face *face) {
- return toBtVector(face->dir0).cross(toBtVector(face->dir1)).normalized();
+btVector3 btConvexHullInternal::getBtNormal(Face* face)
+{
+ return toBtVector(face->dir0).cross(toBtVector(face->dir1)).normalized();
}
-btVector3 btConvexHullInternal::getCoordinates(const Vertex *v) {
- btVector3 p;
- p[medAxis] = v->xvalue();
- p[maxAxis] = v->yvalue();
- p[minAxis] = v->zvalue();
- return p * scaling + center;
+btVector3 btConvexHullInternal::getCoordinates(const Vertex* v)
+{
+ btVector3 p;
+ p[medAxis] = v->xvalue();
+ p[maxAxis] = v->yvalue();
+ p[minAxis] = v->zvalue();
+ return p * scaling + center;
}
-btScalar btConvexHullInternal::shrink(btScalar amount, btScalar clampAmount) {
- if (!vertexList) {
- return 0;
- }
- int32_t stamp = --mergeStamp;
- btAlignedObjectArray<Vertex *> stack;
- vertexList->copy = stamp;
- stack.push_back(vertexList);
- btAlignedObjectArray<Face *> faces;
-
- Point32 ref = vertexList->point;
- Int128 hullCenterX(0, 0);
- Int128 hullCenterY(0, 0);
- Int128 hullCenterZ(0, 0);
- Int128 volume(0, 0);
-
- while (stack.size() > 0) {
- Vertex *v = stack[stack.size() - 1];
- stack.pop_back();
- Edge *e = v->edges;
- if (e) {
- do {
- if (e->target->copy != stamp) {
- e->target->copy = stamp;
- stack.push_back(e->target);
- }
- if (e->copy != stamp) {
- Face *face = facePool.newObject();
- face->init(e->target, e->reverse->prev->target, v);
- faces.push_back(face);
- Edge *f = e;
-
- Vertex *a = NULL;
- Vertex *b = NULL;
- do {
- if (a && b) {
- int64_t vol = (v->point - ref).dot((a->point - ref).cross(b->point - ref));
- btAssert(vol >= 0);
- Point32 c = v->point + a->point + b->point + ref;
- hullCenterX += vol * c.x;
- hullCenterY += vol * c.y;
- hullCenterZ += vol * c.z;
- volume += vol;
- }
-
- btAssert(f->copy != stamp);
- f->copy = stamp;
- f->face = face;
-
- a = b;
- b = f->target;
-
- f = f->reverse->prev;
- } while (f != e);
- }
- e = e->next;
- } while (e != v->edges);
- }
- }
-
- if (volume.getSign() <= 0) {
- return 0;
- }
-
- btVector3 hullCenter;
- hullCenter[medAxis] = hullCenterX.toScalar();
- hullCenter[maxAxis] = hullCenterY.toScalar();
- hullCenter[minAxis] = hullCenterZ.toScalar();
- hullCenter /= 4 * volume.toScalar();
- hullCenter *= scaling;
-
- int32_t faceCount = faces.size();
-
- if (clampAmount > 0) {
- btScalar minDist = SIMD_INFINITY;
- for (int32_t i = 0; i < faceCount; i++) {
- btVector3 normal = getBtNormal(faces[i]);
- btScalar dist = normal.dot(toBtVector(faces[i]->origin) - hullCenter);
- if (dist < minDist) {
- minDist = dist;
- }
- }
-
- if (minDist <= 0) {
- return 0;
- }
-
- amount = btMin(amount, minDist * clampAmount);
- }
-
- uint32_t seed = 243703;
- for (int32_t i = 0; i < faceCount; i++, seed = 1664525 * seed + 1013904223) {
- btSwap(faces[i], faces[seed % faceCount]);
- }
-
- for (int32_t i = 0; i < faceCount; i++) {
- if (!shiftFace(faces[i], amount, stack)) {
- return -amount;
- }
- }
-
- return amount;
+btScalar btConvexHullInternal::shrink(btScalar amount, btScalar clampAmount)
+{
+ if (!vertexList) {
+ return 0;
+ }
+ int32_t stamp = --mergeStamp;
+ btAlignedObjectArray<Vertex*> stack;
+ vertexList->copy = stamp;
+ stack.push_back(vertexList);
+ btAlignedObjectArray<Face*> faces;
+
+ Point32 ref = vertexList->point;
+ Int128 hullCenterX(0, 0);
+ Int128 hullCenterY(0, 0);
+ Int128 hullCenterZ(0, 0);
+ Int128 volume(0, 0);
+
+ while (stack.size() > 0) {
+ Vertex* v = stack[stack.size() - 1];
+ stack.pop_back();
+ Edge* e = v->edges;
+ if (e) {
+ do {
+ if (e->target->copy != stamp) {
+ e->target->copy = stamp;
+ stack.push_back(e->target);
+ }
+ if (e->copy != stamp) {
+ Face* face = facePool.newObject();
+ face->init(e->target, e->reverse->prev->target, v);
+ faces.push_back(face);
+ Edge* f = e;
+
+ Vertex* a = NULL;
+ Vertex* b = NULL;
+ do {
+ if (a && b) {
+ int64_t vol = (v->point - ref).dot((a->point - ref).cross(b->point - ref));
+ btAssert(vol >= 0);
+ Point32 c = v->point + a->point + b->point + ref;
+ hullCenterX += vol * c.x;
+ hullCenterY += vol * c.y;
+ hullCenterZ += vol * c.z;
+ volume += vol;
+ }
+
+ btAssert(f->copy != stamp);
+ f->copy = stamp;
+ f->face = face;
+
+ a = b;
+ b = f->target;
+
+ f = f->reverse->prev;
+ } while (f != e);
+ }
+ e = e->next;
+ } while (e != v->edges);
+ }
+ }
+
+ if (volume.getSign() <= 0) {
+ return 0;
+ }
+
+ btVector3 hullCenter;
+ hullCenter[medAxis] = hullCenterX.toScalar();
+ hullCenter[maxAxis] = hullCenterY.toScalar();
+ hullCenter[minAxis] = hullCenterZ.toScalar();
+ hullCenter /= 4 * volume.toScalar();
+ hullCenter *= scaling;
+
+ int32_t faceCount = faces.size();
+
+ if (clampAmount > 0) {
+ btScalar minDist = SIMD_INFINITY;
+ for (int32_t i = 0; i < faceCount; i++) {
+ btVector3 normal = getBtNormal(faces[i]);
+ btScalar dist = normal.dot(toBtVector(faces[i]->origin) - hullCenter);
+ if (dist < minDist) {
+ minDist = dist;
+ }
+ }
+
+ if (minDist <= 0) {
+ return 0;
+ }
+
+ amount = btMin(amount, minDist * clampAmount);
+ }
+
+ uint32_t seed = 243703;
+ for (int32_t i = 0; i < faceCount; i++, seed = 1664525 * seed + 1013904223) {
+ btSwap(faces[i], faces[seed % faceCount]);
+ }
+
+ for (int32_t i = 0; i < faceCount; i++) {
+ if (!shiftFace(faces[i], amount, stack)) {
+ return -amount;
+ }
+ }
+
+ return amount;
}
-bool btConvexHullInternal::shiftFace(Face *face, btScalar amount, btAlignedObjectArray<Vertex *> stack) {
- btVector3 origShift = getBtNormal(face) * -amount;
- if (scaling[0] != 0) {
- origShift[0] /= scaling[0];
- }
- if (scaling[1] != 0) {
- origShift[1] /= scaling[1];
- }
- if (scaling[2] != 0) {
- origShift[2] /= scaling[2];
- }
- Point32 shift((int32_t)origShift[medAxis], (int32_t)origShift[maxAxis], (int32_t)origShift[minAxis]);
- if (shift.isZero()) {
- return true;
- }
- Point64 normal = face->getNormal();
+bool btConvexHullInternal::shiftFace(Face* face, btScalar amount, btAlignedObjectArray<Vertex*> stack)
+{
+ btVector3 origShift = getBtNormal(face) * -amount;
+ if (scaling[0] != 0) {
+ origShift[0] /= scaling[0];
+ }
+ if (scaling[1] != 0) {
+ origShift[1] /= scaling[1];
+ }
+ if (scaling[2] != 0) {
+ origShift[2] /= scaling[2];
+ }
+ Point32 shift((int32_t)origShift[medAxis], (int32_t)origShift[maxAxis], (int32_t)origShift[minAxis]);
+ if (shift.isZero()) {
+ return true;
+ }
+ Point64 normal = face->getNormal();
#ifdef DEBUG_CONVEX_HULL
- printf("\nShrinking face (%d %d %d) (%d %d %d) (%d %d %d) by (%d %d %d)\n",
- face->origin.x, face->origin.y, face->origin.z, face->dir0.x, face->dir0.y, face->dir0.z, face->dir1.x, face->dir1.y, face->dir1.z, shift.x, shift.y, shift.z);
+ printf("\nShrinking face (%d %d %d) (%d %d %d) (%d %d %d) by (%d %d %d)\n",
+ face->origin.x, face->origin.y, face->origin.z, face->dir0.x, face->dir0.y, face->dir0.z, face->dir1.x, face->dir1.y, face->dir1.z, shift.x, shift.y, shift.z);
#endif
- int64_t origDot = face->origin.dot(normal);
- Point32 shiftedOrigin = face->origin + shift;
- int64_t shiftedDot = shiftedOrigin.dot(normal);
- btAssert(shiftedDot <= origDot);
- if (shiftedDot >= origDot) {
- return false;
- }
+ int64_t origDot = face->origin.dot(normal);
+ Point32 shiftedOrigin = face->origin + shift;
+ int64_t shiftedDot = shiftedOrigin.dot(normal);
+ btAssert(shiftedDot <= origDot);
+ if (shiftedDot >= origDot) {
+ return false;
+ }
- Edge *intersection = NULL;
+ Edge* intersection = NULL;
- Edge *startEdge = face->nearbyVertex->edges;
+ Edge* startEdge = face->nearbyVertex->edges;
#ifdef DEBUG_CONVEX_HULL
- printf("Start edge is ");
- startEdge->print();
- printf(", normal is (%lld %lld %lld), shifted dot is %lld\n", normal.x, normal.y, normal.z, shiftedDot);
+ printf("Start edge is ");
+ startEdge->print();
+ printf(", normal is (%lld %lld %lld), shifted dot is %lld\n", normal.x, normal.y, normal.z, shiftedDot);
#endif
- Rational128 optDot = face->nearbyVertex->dot(normal);
- int32_t cmp = optDot.compare(shiftedDot);
+ Rational128 optDot = face->nearbyVertex->dot(normal);
+ int32_t cmp = optDot.compare(shiftedDot);
#ifdef SHOW_ITERATIONS
- int32_t n = 0;
+ int32_t n = 0;
#endif
- if (cmp >= 0) {
- Edge *e = startEdge;
- do {
+ if (cmp >= 0) {
+ Edge* e = startEdge;
+ do {
#ifdef SHOW_ITERATIONS
- n++;
+ n++;
#endif
- Rational128 dot = e->target->dot(normal);
- btAssert(dot.compare(origDot) <= 0);
+ Rational128 dot = e->target->dot(normal);
+ btAssert(dot.compare(origDot) <= 0);
#ifdef DEBUG_CONVEX_HULL
- printf("Moving downwards, edge is ");
- e->print();
- printf(", dot is %f (%f %lld)\n", (float)dot.toScalar(), (float)optDot.toScalar(), shiftedDot);
+ printf("Moving downwards, edge is ");
+ e->print();
+ printf(", dot is %f (%f %lld)\n", (float)dot.toScalar(), (float)optDot.toScalar(), shiftedDot);
#endif
- if (dot.compare(optDot) < 0) {
- int32_t c = dot.compare(shiftedDot);
- optDot = dot;
- e = e->reverse;
- startEdge = e;
- if (c < 0) {
- intersection = e;
- break;
- }
- cmp = c;
- }
- e = e->prev;
- } while (e != startEdge);
-
- if (!intersection) {
- return false;
- }
- } else {
- Edge *e = startEdge;
- do {
+ if (dot.compare(optDot) < 0) {
+ int32_t c = dot.compare(shiftedDot);
+ optDot = dot;
+ e = e->reverse;
+ startEdge = e;
+ if (c < 0) {
+ intersection = e;
+ break;
+ }
+ cmp = c;
+ }
+ e = e->prev;
+ } while (e != startEdge);
+
+ if (!intersection) {
+ return false;
+ }
+ }
+ else {
+ Edge* e = startEdge;
+ do {
#ifdef SHOW_ITERATIONS
- n++;
+ n++;
#endif
- Rational128 dot = e->target->dot(normal);
- btAssert(dot.compare(origDot) <= 0);
+ Rational128 dot = e->target->dot(normal);
+ btAssert(dot.compare(origDot) <= 0);
#ifdef DEBUG_CONVEX_HULL
- printf("Moving upwards, edge is ");
- e->print();
- printf(", dot is %f (%f %lld)\n", (float)dot.toScalar(), (float)optDot.toScalar(), shiftedDot);
+ printf("Moving upwards, edge is ");
+ e->print();
+ printf(", dot is %f (%f %lld)\n", (float)dot.toScalar(), (float)optDot.toScalar(), shiftedDot);
#endif
- if (dot.compare(optDot) > 0) {
- cmp = dot.compare(shiftedDot);
- if (cmp >= 0) {
- intersection = e;
- break;
- }
- optDot = dot;
- e = e->reverse;
- startEdge = e;
- }
- e = e->prev;
- } while (e != startEdge);
-
- if (!intersection) {
- return true;
- }
- }
+ if (dot.compare(optDot) > 0) {
+ cmp = dot.compare(shiftedDot);
+ if (cmp >= 0) {
+ intersection = e;
+ break;
+ }
+ optDot = dot;
+ e = e->reverse;
+ startEdge = e;
+ }
+ e = e->prev;
+ } while (e != startEdge);
+
+ if (!intersection) {
+ return true;
+ }
+ }
#ifdef SHOW_ITERATIONS
- printf("Needed %d iterations to find initial intersection\n", n);
+ printf("Needed %d iterations to find initial intersection\n", n);
#endif
- if (cmp == 0) {
- Edge *e = intersection->reverse->next;
+ if (cmp == 0) {
+ Edge* e = intersection->reverse->next;
#ifdef SHOW_ITERATIONS
- n = 0;
+ n = 0;
#endif
- while (e->target->dot(normal).compare(shiftedDot) <= 0) {
+ while (e->target->dot(normal).compare(shiftedDot) <= 0) {
#ifdef SHOW_ITERATIONS
- n++;
+ n++;
#endif
- e = e->next;
- if (e == intersection->reverse) {
- return true;
- }
+ e = e->next;
+ if (e == intersection->reverse) {
+ return true;
+ }
#ifdef DEBUG_CONVEX_HULL
- printf("Checking for outwards edge, current edge is ");
- e->print();
- printf("\n");
+ printf("Checking for outwards edge, current edge is ");
+ e->print();
+ printf("\n");
#endif
- }
+ }
#ifdef SHOW_ITERATIONS
- printf("Needed %d iterations to check for complete containment\n", n);
+ printf("Needed %d iterations to check for complete containment\n", n);
#endif
- }
+ }
- Edge *firstIntersection = NULL;
- Edge *faceEdge = NULL;
- Edge *firstFaceEdge = NULL;
+ Edge* firstIntersection = NULL;
+ Edge* faceEdge = NULL;
+ Edge* firstFaceEdge = NULL;
#ifdef SHOW_ITERATIONS
- int32_t m = 0;
+ int32_t m = 0;
#endif
- while (true) {
+ while (true) {
#ifdef SHOW_ITERATIONS
- m++;
+ m++;
#endif
#ifdef DEBUG_CONVEX_HULL
- printf("Intersecting edge is ");
- intersection->print();
- printf("\n");
+ printf("Intersecting edge is ");
+ intersection->print();
+ printf("\n");
#endif
- if (cmp == 0) {
- Edge *e = intersection->reverse->next;
- startEdge = e;
+ if (cmp == 0) {
+ Edge* e = intersection->reverse->next;
+ startEdge = e;
#ifdef SHOW_ITERATIONS
- n = 0;
+ n = 0;
#endif
- while (true) {
+ while (true) {
#ifdef SHOW_ITERATIONS
- n++;
+ n++;
#endif
- if (e->target->dot(normal).compare(shiftedDot) >= 0) {
- break;
- }
- intersection = e->reverse;
- e = e->next;
- if (e == startEdge) {
- return true;
- }
- }
+ if (e->target->dot(normal).compare(shiftedDot) >= 0) {
+ break;
+ }
+ intersection = e->reverse;
+ e = e->next;
+ if (e == startEdge) {
+ return true;
+ }
+ }
#ifdef SHOW_ITERATIONS
- printf("Needed %d iterations to advance intersection\n", n);
+ printf("Needed %d iterations to advance intersection\n", n);
#endif
- }
+ }
#ifdef DEBUG_CONVEX_HULL
- printf("Advanced intersecting edge to ");
- intersection->print();
- printf(", cmp = %d\n", cmp);
+ printf("Advanced intersecting edge to ");
+ intersection->print();
+ printf(", cmp = %d\n", cmp);
#endif
- if (!firstIntersection) {
- firstIntersection = intersection;
- } else if (intersection == firstIntersection) {
- break;
- }
+ if (!firstIntersection) {
+ firstIntersection = intersection;
+ }
+ else if (intersection == firstIntersection) {
+ break;
+ }
- int32_t prevCmp = cmp;
- Edge *prevIntersection = intersection;
- Edge *prevFaceEdge = faceEdge;
+ int32_t prevCmp = cmp;
+ Edge* prevIntersection = intersection;
+ Edge* prevFaceEdge = faceEdge;
- Edge *e = intersection->reverse;
+ Edge* e = intersection->reverse;
#ifdef SHOW_ITERATIONS
- n = 0;
+ n = 0;
#endif
- while (true) {
+ while (true) {
#ifdef SHOW_ITERATIONS
- n++;
+ n++;
#endif
- e = e->reverse->prev;
- btAssert(e != intersection->reverse);
- cmp = e->target->dot(normal).compare(shiftedDot);
+ e = e->reverse->prev;
+ btAssert(e != intersection->reverse);
+ cmp = e->target->dot(normal).compare(shiftedDot);
#ifdef DEBUG_CONVEX_HULL
- printf("Testing edge ");
- e->print();
- printf(" -> cmp = %d\n", cmp);
+ printf("Testing edge ");
+ e->print();
+ printf(" -> cmp = %d\n", cmp);
#endif
- if (cmp >= 0) {
- intersection = e;
- break;
- }
- }
+ if (cmp >= 0) {
+ intersection = e;
+ break;
+ }
+ }
#ifdef SHOW_ITERATIONS
- printf("Needed %d iterations to find other intersection of face\n", n);
+ printf("Needed %d iterations to find other intersection of face\n", n);
#endif
- if (cmp > 0) {
- Vertex *removed = intersection->target;
- e = intersection->reverse;
- if (e->prev == e) {
- removed->edges = NULL;
- } else {
- removed->edges = e->prev;
- e->prev->link(e->next);
- e->link(e);
- }
+ if (cmp > 0) {
+ Vertex* removed = intersection->target;
+ e = intersection->reverse;
+ if (e->prev == e) {
+ removed->edges = NULL;
+ }
+ else {
+ removed->edges = e->prev;
+ e->prev->link(e->next);
+ e->link(e);
+ }
#ifdef DEBUG_CONVEX_HULL
- printf("1: Removed part contains (%d %d %d)\n", removed->point.x, removed->point.y, removed->point.z);
+ printf("1: Removed part contains (%d %d %d)\n", removed->point.x, removed->point.y, removed->point.z);
#endif
- Point64 n0 = intersection->face->getNormal();
- Point64 n1 = intersection->reverse->face->getNormal();
- int64_t m00 = face->dir0.dot(n0);
- int64_t m01 = face->dir1.dot(n0);
- int64_t m10 = face->dir0.dot(n1);
- int64_t m11 = face->dir1.dot(n1);
- int64_t r0 = (intersection->face->origin - shiftedOrigin).dot(n0);
- int64_t r1 = (intersection->reverse->face->origin - shiftedOrigin).dot(n1);
- Int128 det = Int128::mul(m00, m11) - Int128::mul(m01, m10);
- btAssert(det.getSign() != 0);
- Vertex *v = vertexPool.newObject();
- v->point.index = -1;
- v->copy = -1;
- v->point128 = PointR128(Int128::mul(face->dir0.x * r0, m11) - Int128::mul(face->dir0.x * r1, m01) + Int128::mul(face->dir1.x * r1, m00) - Int128::mul(face->dir1.x * r0, m10) + det * shiftedOrigin.x,
- Int128::mul(face->dir0.y * r0, m11) - Int128::mul(face->dir0.y * r1, m01) + Int128::mul(face->dir1.y * r1, m00) - Int128::mul(face->dir1.y * r0, m10) + det * shiftedOrigin.y,
- Int128::mul(face->dir0.z * r0, m11) - Int128::mul(face->dir0.z * r1, m01) + Int128::mul(face->dir1.z * r1, m00) - Int128::mul(face->dir1.z * r0, m10) + det * shiftedOrigin.z,
- det);
- v->point.x = (int32_t)v->point128.xvalue();
- v->point.y = (int32_t)v->point128.yvalue();
- v->point.z = (int32_t)v->point128.zvalue();
- intersection->target = v;
- v->edges = e;
-
- stack.push_back(v);
- stack.push_back(removed);
- stack.push_back(NULL);
- }
-
- if (cmp || prevCmp || (prevIntersection->reverse->next->target != intersection->target)) {
- faceEdge = newEdgePair(prevIntersection->target, intersection->target);
- if (prevCmp == 0) {
- faceEdge->link(prevIntersection->reverse->next);
- }
- if ((prevCmp == 0) || prevFaceEdge) {
- prevIntersection->reverse->link(faceEdge);
- }
- if (cmp == 0) {
- intersection->reverse->prev->link(faceEdge->reverse);
- }
- faceEdge->reverse->link(intersection->reverse);
- } else {
- faceEdge = prevIntersection->reverse->next;
- }
-
- if (prevFaceEdge) {
- if (prevCmp > 0) {
- faceEdge->link(prevFaceEdge->reverse);
- } else if (faceEdge != prevFaceEdge->reverse) {
- stack.push_back(prevFaceEdge->target);
- while (faceEdge->next != prevFaceEdge->reverse) {
- Vertex *removed = faceEdge->next->target;
- removeEdgePair(faceEdge->next);
- stack.push_back(removed);
+ Point64 n0 = intersection->face->getNormal();
+ Point64 n1 = intersection->reverse->face->getNormal();
+ int64_t m00 = face->dir0.dot(n0);
+ int64_t m01 = face->dir1.dot(n0);
+ int64_t m10 = face->dir0.dot(n1);
+ int64_t m11 = face->dir1.dot(n1);
+ int64_t r0 = (intersection->face->origin - shiftedOrigin).dot(n0);
+ int64_t r1 = (intersection->reverse->face->origin - shiftedOrigin).dot(n1);
+ Int128 det = Int128::mul(m00, m11) - Int128::mul(m01, m10);
+ btAssert(det.getSign() != 0);
+ Vertex* v = vertexPool.newObject();
+ v->point.index = -1;
+ v->copy = -1;
+ v->point128 = PointR128(Int128::mul(face->dir0.x * r0, m11) - Int128::mul(face->dir0.x * r1, m01)
+ + Int128::mul(face->dir1.x * r1, m00) - Int128::mul(face->dir1.x * r0, m10) + det * shiftedOrigin.x,
+ Int128::mul(face->dir0.y * r0, m11) - Int128::mul(face->dir0.y * r1, m01)
+ + Int128::mul(face->dir1.y * r1, m00) - Int128::mul(face->dir1.y * r0, m10) + det * shiftedOrigin.y,
+ Int128::mul(face->dir0.z * r0, m11) - Int128::mul(face->dir0.z * r1, m01)
+ + Int128::mul(face->dir1.z * r1, m00) - Int128::mul(face->dir1.z * r0, m10) + det * shiftedOrigin.z,
+ det);
+ v->point.x = (int32_t)v->point128.xvalue();
+ v->point.y = (int32_t)v->point128.yvalue();
+ v->point.z = (int32_t)v->point128.zvalue();
+ intersection->target = v;
+ v->edges = e;
+
+ stack.push_back(v);
+ stack.push_back(removed);
+ stack.push_back(NULL);
+ }
+
+ if (cmp || prevCmp || (prevIntersection->reverse->next->target != intersection->target)) {
+ faceEdge = newEdgePair(prevIntersection->target, intersection->target);
+ if (prevCmp == 0) {
+ faceEdge->link(prevIntersection->reverse->next);
+ }
+ if ((prevCmp == 0) || prevFaceEdge) {
+ prevIntersection->reverse->link(faceEdge);
+ }
+ if (cmp == 0) {
+ intersection->reverse->prev->link(faceEdge->reverse);
+ }
+ faceEdge->reverse->link(intersection->reverse);
+ }
+ else {
+ faceEdge = prevIntersection->reverse->next;
+ }
+
+ if (prevFaceEdge) {
+ if (prevCmp > 0) {
+ faceEdge->link(prevFaceEdge->reverse);
+ }
+ else if (faceEdge != prevFaceEdge->reverse) {
+ stack.push_back(prevFaceEdge->target);
+ while (faceEdge->next != prevFaceEdge->reverse) {
+ Vertex* removed = faceEdge->next->target;
+ removeEdgePair(faceEdge->next);
+ stack.push_back(removed);
#ifdef DEBUG_CONVEX_HULL
- printf("2: Removed part contains (%d %d %d)\n", removed->point.x, removed->point.y, removed->point.z);
+ printf("2: Removed part contains (%d %d %d)\n", removed->point.x, removed->point.y, removed->point.z);
#endif
- }
- stack.push_back(NULL);
- }
- }
- faceEdge->face = face;
- faceEdge->reverse->face = intersection->face;
-
- if (!firstFaceEdge) {
- firstFaceEdge = faceEdge;
- }
- }
+ }
+ stack.push_back(NULL);
+ }
+ }
+ faceEdge->face = face;
+ faceEdge->reverse->face = intersection->face;
+
+ if (!firstFaceEdge) {
+ firstFaceEdge = faceEdge;
+ }
+ }
#ifdef SHOW_ITERATIONS
- printf("Needed %d iterations to process all intersections\n", m);
+ printf("Needed %d iterations to process all intersections\n", m);
#endif
- if (cmp > 0) {
- firstFaceEdge->reverse->target = faceEdge->target;
- firstIntersection->reverse->link(firstFaceEdge);
- firstFaceEdge->link(faceEdge->reverse);
- } else if (firstFaceEdge != faceEdge->reverse) {
- stack.push_back(faceEdge->target);
- while (firstFaceEdge->next != faceEdge->reverse) {
- Vertex *removed = firstFaceEdge->next->target;
- removeEdgePair(firstFaceEdge->next);
- stack.push_back(removed);
+ if (cmp > 0) {
+ firstFaceEdge->reverse->target = faceEdge->target;
+ firstIntersection->reverse->link(firstFaceEdge);
+ firstFaceEdge->link(faceEdge->reverse);
+ }
+ else if (firstFaceEdge != faceEdge->reverse) {
+ stack.push_back(faceEdge->target);
+ while (firstFaceEdge->next != faceEdge->reverse) {
+ Vertex* removed = firstFaceEdge->next->target;
+ removeEdgePair(firstFaceEdge->next);
+ stack.push_back(removed);
#ifdef DEBUG_CONVEX_HULL
- printf("3: Removed part contains (%d %d %d)\n", removed->point.x, removed->point.y, removed->point.z);
+ printf("3: Removed part contains (%d %d %d)\n", removed->point.x, removed->point.y, removed->point.z);
#endif
- }
- stack.push_back(NULL);
- }
+ }
+ stack.push_back(NULL);
+ }
- btAssert(stack.size() > 0);
- vertexList = stack[0];
+ btAssert(stack.size() > 0);
+ vertexList = stack[0];
#ifdef DEBUG_CONVEX_HULL
- printf("Removing part\n");
+ printf("Removing part\n");
#endif
#ifdef SHOW_ITERATIONS
- n = 0;
+ n = 0;
#endif
- int32_t pos = 0;
- while (pos < stack.size()) {
- int32_t end = stack.size();
- while (pos < end) {
- Vertex *kept = stack[pos++];
+ int32_t pos = 0;
+ while (pos < stack.size()) {
+ int32_t end = stack.size();
+ while (pos < end) {
+ Vertex* kept = stack[pos++];
#ifdef DEBUG_CONVEX_HULL
- kept->print();
+ kept->print();
#endif
- bool deeper = false;
- Vertex *removed;
- while ((removed = stack[pos++]) != NULL) {
+ bool deeper = false;
+ Vertex* removed;
+ while ((removed = stack[pos++]) != NULL) {
#ifdef SHOW_ITERATIONS
- n++;
+ n++;
#endif
- kept->receiveNearbyFaces(removed);
- while (removed->edges) {
- if (!deeper) {
- deeper = true;
- stack.push_back(kept);
- }
- stack.push_back(removed->edges->target);
- removeEdgePair(removed->edges);
- }
- }
- if (deeper) {
- stack.push_back(NULL);
- }
- }
- }
+ kept->receiveNearbyFaces(removed);
+ while (removed->edges) {
+ if (!deeper) {
+ deeper = true;
+ stack.push_back(kept);
+ }
+ stack.push_back(removed->edges->target);
+ removeEdgePair(removed->edges);
+ }
+ }
+ if (deeper) {
+ stack.push_back(NULL);
+ }
+ }
+ }
#ifdef SHOW_ITERATIONS
- printf("Needed %d iterations to remove part\n", n);
+ printf("Needed %d iterations to remove part\n", n);
#endif
- stack.resize(0);
- face->origin = shiftedOrigin;
+ stack.resize(0);
+ face->origin = shiftedOrigin;
- return true;
+ return true;
}
-static int32_t getVertexCopy(btConvexHullInternal::Vertex *vertex, btAlignedObjectArray<btConvexHullInternal::Vertex *> &vertices) {
- int32_t index = vertex->copy;
- if (index < 0) {
- index = vertices.size();
- vertex->copy = index;
- vertices.push_back(vertex);
+static int32_t getVertexCopy(btConvexHullInternal::Vertex* vertex, btAlignedObjectArray<btConvexHullInternal::Vertex*>& vertices)
+{
+ int32_t index = vertex->copy;
+ if (index < 0) {
+ index = vertices.size();
+ vertex->copy = index;
+ vertices.push_back(vertex);
#ifdef DEBUG_CONVEX_HULL
- printf("Vertex %d gets index *%d\n", vertex->point.index, index);
+ printf("Vertex %d gets index *%d\n", vertex->point.index, index);
#endif
- }
- return index;
+ }
+ return index;
}
-btScalar btConvexHullComputer::compute(const void *coords, bool doubleCoords, int32_t stride, int32_t count, btScalar shrink, btScalar shrinkClamp) {
- if (count <= 0) {
- vertices.clear();
- edges.clear();
- faces.clear();
- return 0;
- }
-
- btConvexHullInternal hull;
- hull.compute(coords, doubleCoords, stride, count);
-
- btScalar shift = 0;
- if ((shrink > 0) && ((shift = hull.shrink(shrink, shrinkClamp)) < 0)) {
- vertices.clear();
- edges.clear();
- faces.clear();
- return shift;
- }
-
- vertices.resize(0);
- edges.resize(0);
- faces.resize(0);
-
- btAlignedObjectArray<btConvexHullInternal::Vertex *> oldVertices;
- getVertexCopy(hull.vertexList, oldVertices);
- int32_t copied = 0;
- while (copied < oldVertices.size()) {
- btConvexHullInternal::Vertex *v = oldVertices[copied];
- vertices.push_back(hull.getCoordinates(v));
- btConvexHullInternal::Edge *firstEdge = v->edges;
- if (firstEdge) {
- int32_t firstCopy = -1;
- int32_t prevCopy = -1;
- btConvexHullInternal::Edge *e = firstEdge;
- do {
- if (e->copy < 0) {
- int32_t s = edges.size();
- edges.push_back(Edge());
- edges.push_back(Edge());
- Edge *c = &edges[s];
- Edge *r = &edges[s + 1];
- e->copy = s;
- e->reverse->copy = s + 1;
- c->reverse = 1;
- r->reverse = -1;
- c->targetVertex = getVertexCopy(e->target, oldVertices);
- r->targetVertex = copied;
+btScalar btConvexHullComputer::compute(const void* coords, bool doubleCoords, int32_t stride, int32_t count, btScalar shrink, btScalar shrinkClamp)
+{
+ if (count <= 0) {
+ vertices.clear();
+ edges.clear();
+ faces.clear();
+ return 0;
+ }
+
+ btConvexHullInternal hull;
+ hull.compute(coords, doubleCoords, stride, count);
+
+ btScalar shift = 0;
+ if ((shrink > 0) && ((shift = hull.shrink(shrink, shrinkClamp)) < 0)) {
+ vertices.clear();
+ edges.clear();
+ faces.clear();
+ return shift;
+ }
+
+ vertices.resize(0);
+ edges.resize(0);
+ faces.resize(0);
+
+ btAlignedObjectArray<btConvexHullInternal::Vertex*> oldVertices;
+ getVertexCopy(hull.vertexList, oldVertices);
+ int32_t copied = 0;
+ while (copied < oldVertices.size()) {
+ btConvexHullInternal::Vertex* v = oldVertices[copied];
+ vertices.push_back(hull.getCoordinates(v));
+ btConvexHullInternal::Edge* firstEdge = v->edges;
+ if (firstEdge) {
+ int32_t firstCopy = -1;
+ int32_t prevCopy = -1;
+ btConvexHullInternal::Edge* e = firstEdge;
+ do {
+ if (e->copy < 0) {
+ int32_t s = edges.size();
+ edges.push_back(Edge());
+ edges.push_back(Edge());
+ Edge* c = &edges[s];
+ Edge* r = &edges[s + 1];
+ e->copy = s;
+ e->reverse->copy = s + 1;
+ c->reverse = 1;
+ r->reverse = -1;
+ c->targetVertex = getVertexCopy(e->target, oldVertices);
+ r->targetVertex = copied;
#ifdef DEBUG_CONVEX_HULL
- printf(" CREATE: Vertex *%d has edge to *%d\n", copied, c->getTargetVertex());
+ printf(" CREATE: Vertex *%d has edge to *%d\n", copied, c->getTargetVertex());
#endif
- }
- if (prevCopy >= 0) {
- edges[e->copy].next = prevCopy - e->copy;
- } else {
- firstCopy = e->copy;
- }
- prevCopy = e->copy;
- e = e->next;
- } while (e != firstEdge);
- edges[firstCopy].next = prevCopy - firstCopy;
- }
- copied++;
- }
-
- for (int32_t i = 0; i < copied; i++) {
- btConvexHullInternal::Vertex *v = oldVertices[i];
- btConvexHullInternal::Edge *firstEdge = v->edges;
- if (firstEdge) {
- btConvexHullInternal::Edge *e = firstEdge;
- do {
- if (e->copy >= 0) {
+ }
+ if (prevCopy >= 0) {
+ edges[e->copy].next = prevCopy - e->copy;
+ }
+ else {
+ firstCopy = e->copy;
+ }
+ prevCopy = e->copy;
+ e = e->next;
+ } while (e != firstEdge);
+ edges[firstCopy].next = prevCopy - firstCopy;
+ }
+ copied++;
+ }
+
+ for (int32_t i = 0; i < copied; i++) {
+ btConvexHullInternal::Vertex* v = oldVertices[i];
+ btConvexHullInternal::Edge* firstEdge = v->edges;
+ if (firstEdge) {
+ btConvexHullInternal::Edge* e = firstEdge;
+ do {
+ if (e->copy >= 0) {
#ifdef DEBUG_CONVEX_HULL
- printf("Vertex *%d has edge to *%d\n", i, edges[e->copy].getTargetVertex());
+ printf("Vertex *%d has edge to *%d\n", i, edges[e->copy].getTargetVertex());
#endif
- faces.push_back(e->copy);
- btConvexHullInternal::Edge *f = e;
- do {
+ faces.push_back(e->copy);
+ btConvexHullInternal::Edge* f = e;
+ do {
#ifdef DEBUG_CONVEX_HULL
- printf(" Face *%d\n", edges[f->copy].getTargetVertex());
+ printf(" Face *%d\n", edges[f->copy].getTargetVertex());
#endif
- f->copy = -1;
- f = f->reverse->prev;
- } while (f != e);
- }
- e = e->next;
- } while (e != firstEdge);
- }
- }
-
- return shift;
+ f->copy = -1;
+ f = f->reverse->prev;
+ } while (f != e);
+ }
+ e = e->next;
+ } while (e != firstEdge);
+ }
+ }
+
+ return shift;
}
-
-//GODOT ADDITION
-};
-//