From 81bb6873f1c0291fecbf6e429ad15ac3db66a4c0 Mon Sep 17 00:00:00 2001 From: Aki Date: Tue, 12 Mar 2024 22:07:03 +0100 Subject: Legal notices updated Rename contrib -> third-party intendes to express the origin and purpose of that part of the code better. I plan to readd contrib/ again but with more in-project things like bash-completions, dev workflow scripts etc. --- third-party/Opcode/Ice/IceMatrix4x4.cpp | 135 ++++++++++++++++++++++++++++++++ 1 file changed, 135 insertions(+) create mode 100644 third-party/Opcode/Ice/IceMatrix4x4.cpp (limited to 'third-party/Opcode/Ice/IceMatrix4x4.cpp') diff --git a/third-party/Opcode/Ice/IceMatrix4x4.cpp b/third-party/Opcode/Ice/IceMatrix4x4.cpp new file mode 100644 index 0000000..f9d8997 --- /dev/null +++ b/third-party/Opcode/Ice/IceMatrix4x4.cpp @@ -0,0 +1,135 @@ +/////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////// +/** + * Contains code for 4x4 matrices. + * \file IceMatrix4x4.cpp + * \author Pierre Terdiman + * \date April, 4, 2000 + */ +/////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////// + +/////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////// +/** + * 4x4 matrix. + * DirectX-compliant, ie row-column order, ie m[Row][Col]. + * Same as: + * m11 m12 m13 m14 first row. + * m21 m22 m23 m24 second row. + * m31 m32 m33 m34 third row. + * m41 m42 m43 m44 fourth row. + * Translation is (m41, m42, m43), (m14, m24, m34, m44) = (0, 0, 0, 1). + * Stored in memory as m11 m12 m13 m14 m21... + * + * Multiplication rules: + * + * [x'y'z'1] = [xyz1][M] + * + * x' = x*m11 + y*m21 + z*m31 + m41 + * y' = x*m12 + y*m22 + z*m32 + m42 + * z' = x*m13 + y*m23 + z*m33 + m43 + * 1' = 0 + 0 + 0 + m44 + * + * \class Matrix4x4 + * \author Pierre Terdiman + * \version 1.0 + */ +/////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////// + +/////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////// +// Precompiled Header +#include "StdAfx.h" + +using namespace IceMaths; + +/////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////// +/** + * Inverts a PR matrix. (which only contains a rotation and a translation) + * This is faster and less subject to FPU errors than the generic inversion code. + * + * \relates Matrix4x4 + * \fn InvertPRMatrix(Matrix4x4& dest, const Matrix4x4& src) + * \param dest [out] destination matrix + * \param src [in] source matrix + */ +/////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////// +ICEMATHS_API void IceMaths::InvertPRMatrix(Matrix4x4& dest, const Matrix4x4& src) +{ + dest.m[0][0] = src.m[0][0]; + dest.m[1][0] = src.m[0][1]; + dest.m[2][0] = src.m[0][2]; + dest.m[3][0] = -(src.m[3][0]*src.m[0][0] + src.m[3][1]*src.m[0][1] + src.m[3][2]*src.m[0][2]); + + dest.m[0][1] = src.m[1][0]; + dest.m[1][1] = src.m[1][1]; + dest.m[2][1] = src.m[1][2]; + dest.m[3][1] = -(src.m[3][0]*src.m[1][0] + src.m[3][1]*src.m[1][1] + src.m[3][2]*src.m[1][2]); + + dest.m[0][2] = src.m[2][0]; + dest.m[1][2] = src.m[2][1]; + dest.m[2][2] = src.m[2][2]; + dest.m[3][2] = -(src.m[3][0]*src.m[2][0] + src.m[3][1]*src.m[2][1] + src.m[3][2]*src.m[2][2]); + + dest.m[0][3] = 0.0f; + dest.m[1][3] = 0.0f; + dest.m[2][3] = 0.0f; + dest.m[3][3] = 1.0f; +} + +/////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////// +// Compute the cofactor of the Matrix at a specified location +/////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////// +float Matrix4x4::CoFactor(udword row, udword col) const +{ + return (( m[(row+1)&3][(col+1)&3]*m[(row+2)&3][(col+2)&3]*m[(row+3)&3][(col+3)&3] + + m[(row+1)&3][(col+2)&3]*m[(row+2)&3][(col+3)&3]*m[(row+3)&3][(col+1)&3] + + m[(row+1)&3][(col+3)&3]*m[(row+2)&3][(col+1)&3]*m[(row+3)&3][(col+2)&3]) + - (m[(row+3)&3][(col+1)&3]*m[(row+2)&3][(col+2)&3]*m[(row+1)&3][(col+3)&3] + + m[(row+3)&3][(col+2)&3]*m[(row+2)&3][(col+3)&3]*m[(row+1)&3][(col+1)&3] + + m[(row+3)&3][(col+3)&3]*m[(row+2)&3][(col+1)&3]*m[(row+1)&3][(col+2)&3])) * ((row + col) & 1 ? -1.0f : +1.0f); +} + +/////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////// +// Compute the determinant of the Matrix +/////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////// +float Matrix4x4::Determinant() const +{ + return m[0][0] * CoFactor(0, 0) + + m[0][1] * CoFactor(0, 1) + + m[0][2] * CoFactor(0, 2) + + m[0][3] * CoFactor(0, 3); +} + +/////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////// +// Compute the inverse of the matrix +/////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////// +Matrix4x4& Matrix4x4::Invert() +{ + float Det = Determinant(); + Matrix4x4 Temp; + + if(fabsf(Det) < MATRIX4X4_EPSILON) + return *this; // The matrix is not invertible! Singular case! + + float IDet = 1.0f / Det; + + Temp.m[0][0] = CoFactor(0,0) * IDet; + Temp.m[1][0] = CoFactor(0,1) * IDet; + Temp.m[2][0] = CoFactor(0,2) * IDet; + Temp.m[3][0] = CoFactor(0,3) * IDet; + Temp.m[0][1] = CoFactor(1,0) * IDet; + Temp.m[1][1] = CoFactor(1,1) * IDet; + Temp.m[2][1] = CoFactor(1,2) * IDet; + Temp.m[3][1] = CoFactor(1,3) * IDet; + Temp.m[0][2] = CoFactor(2,0) * IDet; + Temp.m[1][2] = CoFactor(2,1) * IDet; + Temp.m[2][2] = CoFactor(2,2) * IDet; + Temp.m[3][2] = CoFactor(2,3) * IDet; + Temp.m[0][3] = CoFactor(3,0) * IDet; + Temp.m[1][3] = CoFactor(3,1) * IDet; + Temp.m[2][3] = CoFactor(3,2) * IDet; + Temp.m[3][3] = CoFactor(3,3) * IDet; + + *this = Temp; + + return *this; +} + -- cgit v1.1