diff options
Diffstat (limited to 'src/math')
-rw-r--r-- | src/math/Matrix.h | 148 | ||||
-rw-r--r-- | src/math/Vector.h | 6 | ||||
-rw-r--r-- | src/math/Vector2D.h | 3 | ||||
-rw-r--r-- | src/math/math.cpp | 139 |
4 files changed, 174 insertions, 122 deletions
diff --git a/src/math/Matrix.h b/src/math/Matrix.h index 05a6eb03..bfe85afa 100644 --- a/src/math/Matrix.h +++ b/src/math/Matrix.h @@ -125,6 +125,24 @@ public: m_matrix.pos.y = 0.0f; m_matrix.pos.z = 0.0f; } + void Scale(float scale) + { + // GTA treats this as 4x4 floats + m_matrix.right.x *= scale; + m_matrix.right.y *= scale; + m_matrix.right.z *= scale; + m_matrix.up.x *= scale; + m_matrix.up.y *= scale; + m_matrix.up.z *= scale; + m_matrix.at.x *= scale; + m_matrix.at.y *= scale; + m_matrix.at.z *= scale; + m_matrix.pos.x *= scale; + m_matrix.pos.y *= scale; + m_matrix.pos.z *= scale; + m_matrix.flags = 0; + } + void SetRotateXOnly(float angle){ float c = Cos(angle); @@ -192,40 +210,10 @@ public: m_matrix.pos.y = 0.0f; m_matrix.pos.z = 0.0f; } - void SetRotate(float xAngle, float yAngle, float zAngle) { - float cX = Cos(xAngle); - float sX = Sin(xAngle); - float cY = Cos(yAngle); - float sY = Sin(yAngle); - float cZ = Cos(zAngle); - float sZ = Sin(zAngle); - - m_matrix.right.x = cZ * cY - (sZ * sX) * sY; - m_matrix.right.y = (cZ * sX) * sY + sZ * cY; - m_matrix.right.z = -cX * sY; + void SetRotate(float xAngle, float yAngle, float zAngle); + void Rotate(float x, float y, float z); - m_matrix.up.x = -sZ * cX; - m_matrix.up.y = cZ * cX; - m_matrix.up.z = sX; - - m_matrix.at.x = (sZ * sX) * cY + cZ * sY; - m_matrix.at.y = sZ * sY - (cZ * sX) * cY; - m_matrix.at.z = cX * cY; - - m_matrix.pos.x = 0.0f; - m_matrix.pos.y = 0.0f; - m_matrix.pos.z = 0.0f; - } - void Reorthogonalise(void){ - CVector &r = GetRight(); - CVector &f = GetForward(); - CVector &u = GetUp(); - u = CrossProduct(r, f); - u.Normalise(); - r = CrossProduct(f, u); - r.Normalise(); - f = CrossProduct(u, r); - } + void Reorthogonalise(void); void CopyOnlyMatrix(CMatrix *other){ m_matrix = other->m_matrix; } @@ -245,35 +233,13 @@ public: } }; -inline CMatrix& -Invert(const CMatrix &src, CMatrix &dst) -{ - // GTA handles this as a raw 4x4 orthonormal matrix - // and trashes the RW flags, let's not do that - // actual copy of librw code: - RwMatrix *d = &dst.m_matrix; - const RwMatrix *s = &src.m_matrix; - d->right.x = s->right.x; - d->right.y = s->up.x; - d->right.z = s->at.x; - d->up.x = s->right.y; - d->up.y = s->up.y; - d->up.z = s->at.y; - d->at.x = s->right.z; - d->at.y = s->up.z; - d->at.z = s->at.z; - d->pos.x = -(s->pos.x*s->right.x + - s->pos.y*s->right.y + - s->pos.z*s->right.z); - d->pos.y = -(s->pos.x*s->up.x + - s->pos.y*s->up.y + - s->pos.z*s->up.z); - d->pos.z = -(s->pos.x*s->at.x + - s->pos.y*s->at.y + - s->pos.z*s->at.z); - d->flags = rwMATRIXTYPEORTHONORMAL; - return dst; -} + +CMatrix &Invert(const CMatrix &src, CMatrix &dst); +CVector operator*(const CMatrix &mat, const CVector &vec); +CMatrix operator*(const CMatrix &m1, const CMatrix &m2); +CVector MultiplyInverse(const CMatrix &mat, const CVector &vec); +CVector Multiply3x3(const CMatrix &mat, const CVector &vec); +CVector Multiply3x3(const CVector &vec, const CMatrix &mat); inline CMatrix Invert(const CMatrix &matrix) @@ -282,64 +248,6 @@ Invert(const CMatrix &matrix) return Invert(matrix, inv); } -inline CVector -operator*(const CMatrix &mat, const CVector &vec) -{ - return CVector( - mat.m_matrix.right.x * vec.x + mat.m_matrix.up.x * vec.y + mat.m_matrix.at.x * vec.z + mat.m_matrix.pos.x, - mat.m_matrix.right.y * vec.x + mat.m_matrix.up.y * vec.y + mat.m_matrix.at.y * vec.z + mat.m_matrix.pos.y, - mat.m_matrix.right.z * vec.x + mat.m_matrix.up.z * vec.y + mat.m_matrix.at.z * vec.z + mat.m_matrix.pos.z); -} - -inline CMatrix -operator*(const CMatrix &m1, const CMatrix &m2) -{ - CMatrix out; - RwMatrix *dst = &out.m_matrix; - const RwMatrix *src1 = &m1.m_matrix; - const RwMatrix *src2 = &m2.m_matrix; - dst->right.x = src1->right.x*src2->right.x + src1->up.x*src2->right.y + src1->at.x*src2->right.z; - dst->right.y = src1->right.y*src2->right.x + src1->up.y*src2->right.y + src1->at.y*src2->right.z; - dst->right.z = src1->right.z*src2->right.x + src1->up.z*src2->right.y + src1->at.z*src2->right.z; - dst->up.x = src1->right.x*src2->up.x + src1->up.x*src2->up.y + src1->at.x*src2->up.z; - dst->up.y = src1->right.y*src2->up.x + src1->up.y*src2->up.y + src1->at.y*src2->up.z; - dst->up.z = src1->right.z*src2->up.x + src1->up.z*src2->up.y + src1->at.z*src2->up.z; - dst->at.x = src1->right.x*src2->at.x + src1->up.x*src2->at.y + src1->at.x*src2->at.z; - dst->at.y = src1->right.y*src2->at.x + src1->up.y*src2->at.y + src1->at.y*src2->at.z; - dst->at.z = src1->right.z*src2->at.x + src1->up.z*src2->at.y + src1->at.z*src2->at.z; - dst->pos.x = src1->right.x*src2->pos.x + src1->up.x*src2->pos.y + src1->at.x*src2->pos.z + src1->pos.x; - dst->pos.y = src1->right.y*src2->pos.x + src1->up.y*src2->pos.y + src1->at.y*src2->pos.z + src1->pos.y; - dst->pos.z = src1->right.z*src2->pos.x + src1->up.z*src2->pos.y + src1->at.z*src2->pos.z + src1->pos.z; - return out; -} - -inline CVector -MultiplyInverse(const CMatrix &mat, const CVector &vec) -{ - CVector v(vec.x - mat.m_matrix.pos.x, vec.y - mat.m_matrix.pos.y, vec.z - mat.m_matrix.pos.z); - return CVector( - mat.m_matrix.right.x * v.x + mat.m_matrix.right.y * v.y + mat.m_matrix.right.z * v.z, - mat.m_matrix.up.x * v.x + mat.m_matrix.up.y * v.y + mat.m_matrix.up.z * v.z, - mat.m_matrix.at.x * v.x + mat.m_matrix.at.y * v.y + mat.m_matrix.at.z * v.z); -} - -inline CVector -Multiply3x3(const CMatrix &mat, const CVector &vec) -{ - return CVector( - mat.m_matrix.right.x * vec.x + mat.m_matrix.up.x * vec.y + mat.m_matrix.at.x * vec.z, - mat.m_matrix.right.y * vec.x + mat.m_matrix.up.y * vec.y + mat.m_matrix.at.y * vec.z, - mat.m_matrix.right.z * vec.x + mat.m_matrix.up.z * vec.y + mat.m_matrix.at.z * vec.z); -} - -inline CVector -Multiply3x3(const CVector &vec, const CMatrix &mat) -{ - return CVector( - mat.m_matrix.right.x * vec.x + mat.m_matrix.right.y * vec.y + mat.m_matrix.right.z * vec.z, - mat.m_matrix.up.x * vec.x + mat.m_matrix.up.y * vec.y + mat.m_matrix.up.z * vec.z, - mat.m_matrix.at.x * vec.x + mat.m_matrix.at.y * vec.y + mat.m_matrix.at.z * vec.z); -} class CCompressedMatrixNotAligned { diff --git a/src/math/Vector.h b/src/math/Vector.h index f794a57f..42087339 100644 --- a/src/math/Vector.h +++ b/src/math/Vector.h @@ -31,7 +31,7 @@ public: void Normalise(void) { float sq = MagnitudeSqr(); if(sq > 0.0f){ - float invsqrt = 1.0f/Sqrt(sq); // CMaths::RecipSqrt + float invsqrt = RecipSqrt(sq); x *= invsqrt; y *= invsqrt; z *= invsqrt; @@ -71,6 +71,10 @@ public: return CVector(-x, -y, -z); } + const bool operator==(CVector const &right) { + return x == right.x && y == right.y && z == right.z; + } + bool IsZero(void) { return x == 0.0f && y == 0.0f && z == 0.0f; } }; diff --git a/src/math/Vector2D.h b/src/math/Vector2D.h index e6b04c14..c8835ec0 100644 --- a/src/math/Vector2D.h +++ b/src/math/Vector2D.h @@ -7,13 +7,14 @@ public: CVector2D(void) {} CVector2D(float x, float y) : x(x), y(y) {} CVector2D(const CVector &v) : x(v.x), y(v.y) {} + float Heading(void) const { return Atan2(-x, y); } float Magnitude(void) const { return Sqrt(x*x + y*y); } float MagnitudeSqr(void) const { return x*x + y*y; } void Normalise(void){ float sq = MagnitudeSqr(); if(sq > 0.0f){ - float invsqrt = 1.0f/Sqrt(sq); + float invsqrt = RecipSqrt(sq); x *= invsqrt; y *= invsqrt; }else diff --git a/src/math/math.cpp b/src/math/math.cpp index c1199fcc..e8b7d933 100644 --- a/src/math/math.cpp +++ b/src/math/math.cpp @@ -5,6 +5,145 @@ // TODO: move more stuff into here void +CMatrix::SetRotate(float xAngle, float yAngle, float zAngle) +{ + float cX = Cos(xAngle); + float sX = Sin(xAngle); + float cY = Cos(yAngle); + float sY = Sin(yAngle); + float cZ = Cos(zAngle); + float sZ = Sin(zAngle); + + m_matrix.right.x = cZ * cY - (sZ * sX) * sY; + m_matrix.right.y = (cZ * sX) * sY + sZ * cY; + m_matrix.right.z = -cX * sY; + + m_matrix.up.x = -sZ * cX; + m_matrix.up.y = cZ * cX; + m_matrix.up.z = sX; + + m_matrix.at.x = (sZ * sX) * cY + cZ * sY; + m_matrix.at.y = sZ * sY - (cZ * sX) * cY; + m_matrix.at.z = cX * cY; + + m_matrix.pos.x = 0.0f; + m_matrix.pos.y = 0.0f; + m_matrix.pos.z = 0.0f; +} + +void +CMatrix::Rotate(float x, float y, float z) +{ + // TODO? do this directly without creating another matrix + CMatrix rot; + rot.SetRotate(x, y, z); + *this = rot * *this; +} + +void +CMatrix::Reorthogonalise(void) +{ + CVector &r = GetRight(); + CVector &f = GetForward(); + CVector &u = GetUp(); + u = CrossProduct(r, f); + u.Normalise(); + r = CrossProduct(f, u); + r.Normalise(); + f = CrossProduct(u, r); +} + +CMatrix& +Invert(const CMatrix &src, CMatrix &dst) +{ + // GTA handles this as a raw 4x4 orthonormal matrix + // and trashes the RW flags, let's not do that + // actual copy of librw code: + RwMatrix *d = &dst.m_matrix; + const RwMatrix *s = &src.m_matrix; + d->right.x = s->right.x; + d->right.y = s->up.x; + d->right.z = s->at.x; + d->up.x = s->right.y; + d->up.y = s->up.y; + d->up.z = s->at.y; + d->at.x = s->right.z; + d->at.y = s->up.z; + d->at.z = s->at.z; + d->pos.x = -(s->pos.x*s->right.x + + s->pos.y*s->right.y + + s->pos.z*s->right.z); + d->pos.y = -(s->pos.x*s->up.x + + s->pos.y*s->up.y + + s->pos.z*s->up.z); + d->pos.z = -(s->pos.x*s->at.x + + s->pos.y*s->at.y + + s->pos.z*s->at.z); + d->flags = rwMATRIXTYPEORTHONORMAL; + return dst; +} + +CVector +operator*(const CMatrix &mat, const CVector &vec) +{ + return CVector( + mat.m_matrix.right.x * vec.x + mat.m_matrix.up.x * vec.y + mat.m_matrix.at.x * vec.z + mat.m_matrix.pos.x, + mat.m_matrix.right.y * vec.x + mat.m_matrix.up.y * vec.y + mat.m_matrix.at.y * vec.z + mat.m_matrix.pos.y, + mat.m_matrix.right.z * vec.x + mat.m_matrix.up.z * vec.y + mat.m_matrix.at.z * vec.z + mat.m_matrix.pos.z); +} + +CMatrix +operator*(const CMatrix &m1, const CMatrix &m2) +{ + CMatrix out; + RwMatrix *dst = &out.m_matrix; + const RwMatrix *src1 = &m1.m_matrix; + const RwMatrix *src2 = &m2.m_matrix; + dst->right.x = src1->right.x*src2->right.x + src1->up.x*src2->right.y + src1->at.x*src2->right.z; + dst->right.y = src1->right.y*src2->right.x + src1->up.y*src2->right.y + src1->at.y*src2->right.z; + dst->right.z = src1->right.z*src2->right.x + src1->up.z*src2->right.y + src1->at.z*src2->right.z; + dst->up.x = src1->right.x*src2->up.x + src1->up.x*src2->up.y + src1->at.x*src2->up.z; + dst->up.y = src1->right.y*src2->up.x + src1->up.y*src2->up.y + src1->at.y*src2->up.z; + dst->up.z = src1->right.z*src2->up.x + src1->up.z*src2->up.y + src1->at.z*src2->up.z; + dst->at.x = src1->right.x*src2->at.x + src1->up.x*src2->at.y + src1->at.x*src2->at.z; + dst->at.y = src1->right.y*src2->at.x + src1->up.y*src2->at.y + src1->at.y*src2->at.z; + dst->at.z = src1->right.z*src2->at.x + src1->up.z*src2->at.y + src1->at.z*src2->at.z; + dst->pos.x = src1->right.x*src2->pos.x + src1->up.x*src2->pos.y + src1->at.x*src2->pos.z + src1->pos.x; + dst->pos.y = src1->right.y*src2->pos.x + src1->up.y*src2->pos.y + src1->at.y*src2->pos.z + src1->pos.y; + dst->pos.z = src1->right.z*src2->pos.x + src1->up.z*src2->pos.y + src1->at.z*src2->pos.z + src1->pos.z; + return out; +} + +CVector +MultiplyInverse(const CMatrix &mat, const CVector &vec) +{ + CVector v(vec.x - mat.m_matrix.pos.x, vec.y - mat.m_matrix.pos.y, vec.z - mat.m_matrix.pos.z); + return CVector( + mat.m_matrix.right.x * v.x + mat.m_matrix.right.y * v.y + mat.m_matrix.right.z * v.z, + mat.m_matrix.up.x * v.x + mat.m_matrix.up.y * v.y + mat.m_matrix.up.z * v.z, + mat.m_matrix.at.x * v.x + mat.m_matrix.at.y * v.y + mat.m_matrix.at.z * v.z); +} + +CVector +Multiply3x3(const CMatrix &mat, const CVector &vec) +{ + return CVector( + mat.m_matrix.right.x * vec.x + mat.m_matrix.up.x * vec.y + mat.m_matrix.at.x * vec.z, + mat.m_matrix.right.y * vec.x + mat.m_matrix.up.y * vec.y + mat.m_matrix.at.y * vec.z, + mat.m_matrix.right.z * vec.x + mat.m_matrix.up.z * vec.y + mat.m_matrix.at.z * vec.z); +} + +CVector +Multiply3x3(const CVector &vec, const CMatrix &mat) +{ + return CVector( + mat.m_matrix.right.x * vec.x + mat.m_matrix.right.y * vec.y + mat.m_matrix.right.z * vec.z, + mat.m_matrix.up.x * vec.x + mat.m_matrix.up.y * vec.y + mat.m_matrix.up.z * vec.z, + mat.m_matrix.at.x * vec.x + mat.m_matrix.at.y * vec.y + mat.m_matrix.at.z * vec.z); +} + + +void CQuaternion::Slerp(const CQuaternion &q1, const CQuaternion &q2, float theta, float invSin, float t) { if(theta == 0.0f) |