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Diffstat (limited to 'libs/ode-0.16.1/OPCODE/Ice/IcePoint.h')
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1 files changed, 530 insertions, 0 deletions
diff --git a/libs/ode-0.16.1/OPCODE/Ice/IcePoint.h b/libs/ode-0.16.1/OPCODE/Ice/IcePoint.h new file mode 100644 index 0000000..7c8a931 --- /dev/null +++ b/libs/ode-0.16.1/OPCODE/Ice/IcePoint.h @@ -0,0 +1,530 @@ +/////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////// +/** + * Contains code for 3D vectors. + * \file IcePoint.h + * \author Pierre Terdiman + * \date April, 4, 2000 + */ +/////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////// + +/////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////// +// Include Guard +#ifndef __ICEPOINT_H__ +#define __ICEPOINT_H__ + + // Forward declarations + class HPoint; + class Plane; + class Matrix3x3; + class Matrix4x4; + + #define CROSS2D(a, b) (a.x*b.y - b.x*a.y) + + const float EPSILON2 = 1.0e-20f; + + class ICEMATHS_API Point + { + public: + + //! Empty constructor + inline_ Point() {} + //! Constructor from a single float +// inline_ Point(float val) : x(val), y(val), z(val) {} +// Removed since it introduced the nasty "Point T = *Matrix4x4.GetTrans();" bug....... + //! Constructor from floats + template<typename toffsetfloat> + inline_ Point(toffsetfloat xx, toffsetfloat yy, toffsetfloat zz) : x((float)xx), y((float)yy), z((float)zz) {} + //! Constructor from array + inline_ Point(const float f[3]) : x(f[X]), y(f[Y]), z(f[Z]) {} + //! Copy constructor + inline_ Point(const Point& p) : x(p.x), y(p.y), z(p.z) {} + //! Destructor + inline_ ~Point() {} + + //! Clears the vector + inline_ Point& Zero() { x = y = z = 0.0f; return *this; } + + //! + infinity + inline_ Point& SetPlusInfinity() { x = y = z = MAX_FLOAT; return *this; } + //! - infinity + inline_ Point& SetMinusInfinity() { x = y = z = MIN_FLOAT; return *this; } + + //! Sets positive unit random vector + Point& PositiveUnitRandomVector(); + //! Sets unit random vector + Point& UnitRandomVector(); + + //! Assignment from values + template<typename toffsetfloat> + inline_ Point& Set(toffsetfloat xx, toffsetfloat yy, toffsetfloat zz) { x = (float)xx; y = (float)yy; z = (float)zz; return *this; } + //! Assignment from array + inline_ Point& Set(const float f[3]) { x = f[X]; y = f[Y]; z = f[Z]; return *this; } + //! Assignment from another point + inline_ Point& Set(const Point& src) { x = src.x; y = src.y; z = src.z; return *this; } + + //! Adds a vector + inline_ Point& Add(const Point& p) { x += p.x; y += p.y; z += p.z; return *this; } + //! Adds a vector + inline_ Point& Add(float xx, float yy, float zz) { x += xx; y += yy; z += zz; return *this; } + //! Adds a vector + inline_ Point& Add(const float f[3]) { x += f[X]; y += f[Y]; z += f[Z]; return *this; } + //! Adds vectors + inline_ Point& Add(const Point& p, const Point& q) { x = p.x+q.x; y = p.y+q.y; z = p.z+q.z; return *this; } + + //! Subtracts a vector + inline_ Point& Sub(const Point& p) { x -= p.x; y -= p.y; z -= p.z; return *this; } + //! Subtracts a vector + inline_ Point& Sub(float xx, float yy, float zz) { x -= xx; y -= yy; z -= zz; return *this; } + //! Subtracts a vector + inline_ Point& Sub(const float f[3]) { x -= f[X]; y -= f[Y]; z -= f[Z]; return *this; } + //! Subtracts vectors + inline_ Point& Sub(const Point& p, const Point& q) { x = p.x-q.x; y = p.y-q.y; z = p.z-q.z; return *this; } + + //! this = -this + inline_ Point& Neg() { x = -x; y = -y; z = -z; return *this; } + //! this = -a + inline_ Point& Neg(const Point& a) { x = -a.x; y = -a.y; z = -a.z; return *this; } + + //! Multiplies by a scalar + inline_ Point& Mult(float s) { x *= s; y *= s; z *= s; return *this; } + + //! this = a * scalar + inline_ Point& Mult(const Point& a, float scalar) + { + x = a.x * scalar; + y = a.y * scalar; + z = a.z * scalar; + return *this; + } + + //! this = a + b * scalar + inline_ Point& Mac(const Point& a, const Point& b, float scalar) + { + x = a.x + b.x * scalar; + y = a.y + b.y * scalar; + z = a.z + b.z * scalar; + return *this; + } + + //! this = this + a * scalar + inline_ Point& Mac(const Point& a, float scalar) + { + x += a.x * scalar; + y += a.y * scalar; + z += a.z * scalar; + return *this; + } + + //! this = a - b * scalar + inline_ Point& Msc(const Point& a, const Point& b, float scalar) + { + x = a.x - b.x * scalar; + y = a.y - b.y * scalar; + z = a.z - b.z * scalar; + return *this; + } + + //! this = this - a * scalar + inline_ Point& Msc(const Point& a, float scalar) + { + x -= a.x * scalar; + y -= a.y * scalar; + z -= a.z * scalar; + return *this; + } + + //! this = a + b * scalarb + c * scalarc + inline_ Point& Mac2(const Point& a, const Point& b, float scalarb, const Point& c, float scalarc) + { + x = a.x + b.x * scalarb + c.x * scalarc; + y = a.y + b.y * scalarb + c.y * scalarc; + z = a.z + b.z * scalarb + c.z * scalarc; + return *this; + } + + //! this = a - b * scalarb - c * scalarc + inline_ Point& Msc2(const Point& a, const Point& b, float scalarb, const Point& c, float scalarc) + { + x = a.x - b.x * scalarb - c.x * scalarc; + y = a.y - b.y * scalarb - c.y * scalarc; + z = a.z - b.z * scalarb - c.z * scalarc; + return *this; + } + + //! this = mat * a + inline_ Point& Mult(const Matrix3x3& mat, const Point& a); + + //! this = mat1 * a1 + mat2 * a2 + inline_ Point& Mult2(const Matrix3x3& mat1, const Point& a1, const Matrix3x3& mat2, const Point& a2); + + //! this = this + mat * a + inline_ Point& Mac(const Matrix3x3& mat, const Point& a); + + //! this = transpose(mat) * a + inline_ Point& TransMult(const Matrix3x3& mat, const Point& a); + + //! Linear interpolate between two vectors: this = a + t * (b - a) + inline_ Point& Lerp(const Point& a, const Point& b, float t) + { + x = a.x + t * (b.x - a.x); + y = a.y + t * (b.y - a.y); + z = a.z + t * (b.z - a.z); + return *this; + } + + //! Hermite interpolate between p1 and p2. p0 and p3 are used for finding gradient at p1 and p2. + //! this = p0 * (2t^2 - t^3 - t)/2 + //! + p1 * (3t^3 - 5t^2 + 2)/2 + //! + p2 * (4t^2 - 3t^3 + t)/2 + //! + p3 * (t^3 - t^2)/2 + inline_ Point& Herp(const Point& p0, const Point& p1, const Point& p2, const Point& p3, float t) + { + float t2 = t * t; + float t3 = t2 * t; + float kp0 = (2.0f * t2 - t3 - t) * 0.5f; + float kp1 = (3.0f * t3 - 5.0f * t2 + 2.0f) * 0.5f; + float kp2 = (4.0f * t2 - 3.0f * t3 + t) * 0.5f; + float kp3 = (t3 - t2) * 0.5f; + x = p0.x * kp0 + p1.x * kp1 + p2.x * kp2 + p3.x * kp3; + y = p0.y * kp0 + p1.y * kp1 + p2.y * kp2 + p3.y * kp3; + z = p0.z * kp0 + p1.z * kp1 + p2.z * kp2 + p3.z * kp3; + return *this; + } + + //! this = rotpos * r + linpos + inline_ Point& Transform(const Point& r, const Matrix3x3& rotpos, const Point& linpos); + + //! this = trans(rotpos) * (r - linpos) + inline_ Point& InvTransform(const Point& r, const Matrix3x3& rotpos, const Point& linpos); + + //! Returns MIN(x, y, z); + inline_ float Min() const { return MIN(x, MIN(y, z)); } + //! Returns MAX(x, y, z); + inline_ float Max() const { return MAX(x, MAX(y, z)); } + //! Sets each element to be componentwise minimum + inline_ Point& Min(const Point& p) { x = MIN(x, p.x); y = MIN(y, p.y); z = MIN(z, p.z); return *this; } + //! Sets each element to be componentwise maximum + inline_ Point& Max(const Point& p) { x = MAX(x, p.x); y = MAX(y, p.y); z = MAX(z, p.z); return *this; } + + //! Clamps each element + inline_ Point& Clamp(float min, float max) + { + if(x<min) x=min; if(x>max) x=max; + if(y<min) y=min; if(y>max) y=max; + if(z<min) z=min; if(z>max) z=max; + return *this; + } + + //! Computes square magnitude + inline_ float SquareMagnitude() const { return x*x + y*y + z*z; } + //! Computes magnitude + inline_ float Magnitude() const { return sqrtf(x*x + y*y + z*z); } + //! Computes volume + inline_ float Volume() const { return x * y * z; } + + //! Checks the point is near zero + inline_ bool ApproxZero() const { return SquareMagnitude() < EPSILON2; } + + //! Tests for exact zero vector + inline_ BOOL IsZero() const + { + if(IR(x) || IR(y) || IR(z)) return FALSE; + return TRUE; + } + + //! Checks point validity + inline_ BOOL IsValid() const + { + if(!IsValidFloat(x)) return FALSE; + if(!IsValidFloat(y)) return FALSE; + if(!IsValidFloat(z)) return FALSE; + return TRUE; + } + + //! Slighty moves the point + void Tweak(udword coord_mask, udword tweak_mask) + { + if(coord_mask&1) { udword Dummy = IR(x); Dummy^=tweak_mask; x = FR(Dummy); } + if(coord_mask&2) { udword Dummy = IR(y); Dummy^=tweak_mask; y = FR(Dummy); } + if(coord_mask&4) { udword Dummy = IR(z); Dummy^=tweak_mask; z = FR(Dummy); } + } + + #define TWEAKMASK 0x3fffff + #define TWEAKNOTMASK ~TWEAKMASK + //! Slighty moves the point out + inline_ void TweakBigger() + { + udword Dummy = (IR(x)&TWEAKNOTMASK); if(!IS_NEGATIVE_FLOAT(x)) Dummy+=TWEAKMASK+1; x = FR(Dummy); + Dummy = (IR(y)&TWEAKNOTMASK); if(!IS_NEGATIVE_FLOAT(y)) Dummy+=TWEAKMASK+1; y = FR(Dummy); + Dummy = (IR(z)&TWEAKNOTMASK); if(!IS_NEGATIVE_FLOAT(z)) Dummy+=TWEAKMASK+1; z = FR(Dummy); + } + + //! Slighty moves the point in + inline_ void TweakSmaller() + { + udword Dummy = (IR(x)&TWEAKNOTMASK); if(IS_NEGATIVE_FLOAT(x)) Dummy+=TWEAKMASK+1; x = FR(Dummy); + Dummy = (IR(y)&TWEAKNOTMASK); if(IS_NEGATIVE_FLOAT(y)) Dummy+=TWEAKMASK+1; y = FR(Dummy); + Dummy = (IR(z)&TWEAKNOTMASK); if(IS_NEGATIVE_FLOAT(z)) Dummy+=TWEAKMASK+1; z = FR(Dummy); + } + + //! Normalizes the vector + inline_ Point& Normalize() + { + float M = x*x + y*y + z*z; + if(M) + { + M = 1.0f / sqrtf(M); + x *= M; + y *= M; + z *= M; + } + return *this; + } + + //! Sets vector length + inline_ Point& SetLength(float length) + { + float NewLength = length / Magnitude(); + x *= NewLength; + y *= NewLength; + z *= NewLength; + return *this; + } + + //! Clamps vector length + inline_ Point& ClampLength(float limit_length) + { + if(limit_length>=0.0f) // Magnitude must be positive + { + float CurrentSquareLength = SquareMagnitude(); + + if(CurrentSquareLength > limit_length * limit_length) + { + float Coeff = limit_length / sqrtf(CurrentSquareLength); + x *= Coeff; + y *= Coeff; + z *= Coeff; + } + } + return *this; + } + + //! Computes distance to another point + inline_ float Distance(const Point& b) const + { + return sqrtf((x - b.x)*(x - b.x) + (y - b.y)*(y - b.y) + (z - b.z)*(z - b.z)); + } + + //! Computes square distance to another point + inline_ float SquareDistance(const Point& b) const + { + return ((x - b.x)*(x - b.x) + (y - b.y)*(y - b.y) + (z - b.z)*(z - b.z)); + } + + //! Dot product dp = this|a + inline_ float Dot(const Point& p) const { return p.x * x + p.y * y + p.z * z; } + + //! Cross product this = a x b + inline_ Point& Cross(const Point& a, const Point& b) + { + x = a.y * b.z - a.z * b.y; + y = a.z * b.x - a.x * b.z; + z = a.x * b.y - a.y * b.x; + return *this; + } + + //! Vector code ( bitmask = sign(z) | sign(y) | sign(x) ) + inline_ udword VectorCode() const + { + return (IR(x)>>31) | ((IR(y)&SIGN_BITMASK)>>30) | ((IR(z)&SIGN_BITMASK)>>29); + } + + //! Returns largest axis + inline_ PointComponent LargestAxis() const + { + const float* Vals = &x; + PointComponent m = X; + if(Vals[Y] > Vals[m]) m = Y; + if(Vals[Z] > Vals[m]) m = Z; + return m; + } + + //! Returns closest axis + inline_ PointComponent ClosestAxis() const + { + const float* Vals = &x; + PointComponent m = X; + if(AIR(Vals[Y]) > AIR(Vals[m])) m = Y; + if(AIR(Vals[Z]) > AIR(Vals[m])) m = Z; + return m; + } + + //! Returns smallest axis + inline_ PointComponent SmallestAxis() const + { + const float* Vals = &x; + PointComponent m = X; + if(Vals[Y] < Vals[m]) m = Y; + if(Vals[Z] < Vals[m]) m = Z; + return m; + } + + //! Refracts the point + Point& Refract(const Point& eye, const Point& n, float refractindex, Point& refracted); + + //! Projects the point onto a plane + Point& ProjectToPlane(const Plane& p); + + //! Projects the point onto the screen + void ProjectToScreen(float halfrenderwidth, float halfrenderheight, const Matrix4x4& mat, HPoint& projected) const; + + //! Unfolds the point onto a plane according to edge(a,b) + Point& Unfold(Plane& p, Point& a, Point& b); + + //! Hash function from Ville Miettinen + inline_ udword GetHashValue() const + { + const udword* h = (const udword*)(this); + udword f = (h[0]+h[1]*11-(h[2]*17)) & 0x7fffffff; // avoid problems with +-0 + return (f>>22)^(f>>12)^(f); + } + + //! Stuff magic values in the point, marking it as explicitely not used. + void SetNotUsed(); + //! Checks the point is marked as not used + BOOL IsNotUsed() const; + + // Arithmetic operators + + //! Unary operator for Point Negate = - Point + inline_ Point operator-() const { return Point(-x, -y, -z); } + + //! Operator for Point Plus = Point + Point. + inline_ Point operator+(const Point& p) const { return Point(x + p.x, y + p.y, z + p.z); } + //! Operator for Point Minus = Point - Point. + inline_ Point operator-(const Point& p) const { return Point(x - p.x, y - p.y, z - p.z); } + + //! Operator for Point Mul = Point * Point. + inline_ Point operator*(const Point& p) const { return Point(x * p.x, y * p.y, z * p.z); } + //! Operator for Point Scale = Point * float. + inline_ Point operator*(float s) const { return Point(x * s, y * s, z * s ); } + //! Operator for Point Scale = float * Point. + inline_ friend Point operator*(float s, const Point& p) { return Point(s * p.x, s * p.y, s * p.z); } + + //! Operator for Point Div = Point / Point. + inline_ Point operator/(const Point& p) const { return Point(x / p.x, y / p.y, z / p.z); } + //! Operator for Point Scale = Point / float. + inline_ Point operator/(float s) const { s = 1.0f / s; return Point(x * s, y * s, z * s); } + //! Operator for Point Scale = float / Point. + inline_ friend Point operator/(float s, const Point& p) { return Point(s / p.x, s / p.y, s / p.z); } + + //! Operator for float DotProd = Point | Point. + inline_ float operator|(const Point& p) const { return x*p.x + y*p.y + z*p.z; } + //! Operator for Point VecProd = Point ^ Point. + inline_ Point operator^(const Point& p) const + { + return Point( + y * p.z - z * p.y, + z * p.x - x * p.z, + x * p.y - y * p.x ); + } + + //! Operator for Point += Point. + inline_ Point& operator+=(const Point& p) { x += p.x; y += p.y; z += p.z; return *this; } + //! Operator for Point += float. + inline_ Point& operator+=(float s) { x += s; y += s; z += s; return *this; } + + //! Operator for Point -= Point. + inline_ Point& operator-=(const Point& p) { x -= p.x; y -= p.y; z -= p.z; return *this; } + //! Operator for Point -= float. + inline_ Point& operator-=(float s) { x -= s; y -= s; z -= s; return *this; } + + //! Operator for Point *= Point. + inline_ Point& operator*=(const Point& p) { x *= p.x; y *= p.y; z *= p.z; return *this; } + //! Operator for Point *= float. + inline_ Point& operator*=(float s) { x *= s; y *= s; z *= s; return *this; } + + //! Operator for Point /= Point. + inline_ Point& operator/=(const Point& p) { x /= p.x; y /= p.y; z /= p.z; return *this; } + //! Operator for Point /= float. + inline_ Point& operator/=(float s) { s = 1.0f/s; x *= s; y *= s; z *= s; return *this; } + + // Logical operators + + //! Operator for "if(Point==Point)" + inline_ bool operator==(const Point& p) const { return ( (IR(x)==IR(p.x))&&(IR(y)==IR(p.y))&&(IR(z)==IR(p.z))); } + //! Operator for "if(Point!=Point)" + inline_ bool operator!=(const Point& p) const { return ( (IR(x)!=IR(p.x))||(IR(y)!=IR(p.y))||(IR(z)!=IR(p.z))); } + + // Arithmetic operators + + //! Operator for Point Mul = Point * Matrix3x3. + inline_ Point operator*(const Matrix3x3& mat) const + { + class ShadowMatrix3x3{ public: float m[3][3]; }; // To allow inlining + const ShadowMatrix3x3* Mat = (const ShadowMatrix3x3*)&mat; + + return Point( + x * Mat->m[0][0] + y * Mat->m[1][0] + z * Mat->m[2][0], + x * Mat->m[0][1] + y * Mat->m[1][1] + z * Mat->m[2][1], + x * Mat->m[0][2] + y * Mat->m[1][2] + z * Mat->m[2][2] ); + } + + //! Operator for Point Mul = Point * Matrix4x4. + inline_ Point operator*(const Matrix4x4& mat) const + { + class ShadowMatrix4x4{ public: float m[4][4]; }; // To allow inlining + const ShadowMatrix4x4* Mat = (const ShadowMatrix4x4*)&mat; + + return Point( + x * Mat->m[0][0] + y * Mat->m[1][0] + z * Mat->m[2][0] + Mat->m[3][0], + x * Mat->m[0][1] + y * Mat->m[1][1] + z * Mat->m[2][1] + Mat->m[3][1], + x * Mat->m[0][2] + y * Mat->m[1][2] + z * Mat->m[2][2] + Mat->m[3][2]); + } + + //! Operator for Point *= Matrix3x3. + inline_ Point& operator*=(const Matrix3x3& mat) + { + class ShadowMatrix3x3{ public: float m[3][3]; }; // To allow inlining + const ShadowMatrix3x3* Mat = (const ShadowMatrix3x3*)&mat; + + float xp = x * Mat->m[0][0] + y * Mat->m[1][0] + z * Mat->m[2][0]; + float yp = x * Mat->m[0][1] + y * Mat->m[1][1] + z * Mat->m[2][1]; + float zp = x * Mat->m[0][2] + y * Mat->m[1][2] + z * Mat->m[2][2]; + + x = xp; y = yp; z = zp; + + return *this; + } + + //! Operator for Point *= Matrix4x4. + inline_ Point& operator*=(const Matrix4x4& mat) + { + class ShadowMatrix4x4{ public: float m[4][4]; }; // To allow inlining + const ShadowMatrix4x4* Mat = (const ShadowMatrix4x4*)&mat; + + float xp = x * Mat->m[0][0] + y * Mat->m[1][0] + z * Mat->m[2][0] + Mat->m[3][0]; + float yp = x * Mat->m[0][1] + y * Mat->m[1][1] + z * Mat->m[2][1] + Mat->m[3][1]; + float zp = x * Mat->m[0][2] + y * Mat->m[1][2] + z * Mat->m[2][2] + Mat->m[3][2]; + + x = xp; y = yp; z = zp; + + return *this; + } + + // Cast operators + + //! Cast a Point to a HPoint. w is set to zero. + operator HPoint() const; + + inline_ operator const float*() const { return &x; } + inline_ operator float*() { return &x; } + + public: + float x, y, z; + }; + + FUNCTION ICEMATHS_API void Normalize1(Point& a); + FUNCTION ICEMATHS_API void Normalize2(Point& a); + +#endif //__ICEPOINT_H__ |