// // matrix23.cpp // Kraken Engine / Hydra // // Copyright 2023 Kearwood Gilbert. All rights reserved. // // Redistribution and use in source and binary forms, with or without modification, are // permitted provided that the following conditions are met: // // 1. Redistributions of source code must retain the above copyright notice, this list of // conditions and the following disclaimer. // // 2. Redistributions in binary form must reproduce the above copyright notice, this list // of conditions and the following disclaimer in the documentation and/or other materials // provided with the distribution. // // THIS SOFTWARE IS PROVIDED BY KEARWOOD GILBERT ''AS IS'' AND ANY EXPRESS OR IMPLIED // WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND // FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL KEARWOOD GILBERT OR // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR // CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR // SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON // ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING // NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF // ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. // // The views and conclusions contained in the software and documentation are those of the // authors and should not be interpreted as representing official policies, either expressed // or implied, of Kearwood Gilbert. // #include "../include/hydra.h" #include namespace kraken { void Matrix2x3::init() { // Default constructor - Initialize with an identity matrix static const float IDENTITY_MATRIX[] = { 1.0, 0.0, 0.0, 1.0, 0.0, 0.0 }; memcpy(c, IDENTITY_MATRIX, sizeof(float) * 6); } void Matrix2x3::init(float* pMat) { memcpy(c, pMat, sizeof(float) * 6); } void Matrix2x3::init(const Vector2& new_axis_x, const Vector2& new_axis_y, const Vector2& new_transform) { c[0] = new_axis_x.x; c[1] = new_axis_x.y; c[2] = new_axis_y.x; c[3] = new_axis_y.y; c[4] = new_transform.x; c[5] = new_transform.y; } void Matrix2x3::init(const Matrix2x3& m) { memcpy(c, m.c, sizeof(float) * 6); } float* Matrix2x3::getPointer() { return c; } float& Matrix2x3::operator[](unsigned i) { return c[i]; } float Matrix2x3::operator[](unsigned i) const { return c[i]; } // Overload comparison operator bool Matrix2x3::operator==(const Matrix2x3& m) const { return memcmp(c, m.c, sizeof(float) * 6) == 0; } // Overload compound multiply operator Matrix2x3& Matrix2x3::operator*=(const Matrix2x3& m) { float temp[6]; /* temp[0] = c[0] * m[0] + c[2] * m[1]; temp[1] = c[1] * m[0] + c[3] * m[1]; temp[2] = c[0] * m[2] + c[2] * m[3]; temp[3] = c[1] * m[2] + c[3] * m[3]; temp[4] = c[0] * m[4] + c[2] * m[5] + c[4]; temp[5] = c[1] * m[4] + c[3] * m[5] + c[5]; */ temp[0] = m[0] * c[0] + m[2] * c[1]; temp[1] = m[1] * c[0] + m[3] * c[1]; temp[2] = m[0] * c[2] + m[2] * c[3]; temp[3] = m[1] * c[2] + m[3] * c[3]; temp[4] = m[0] * c[4] + m[2] * c[5] + m[4]; temp[5] = m[1] * c[4] + m[3] * c[5] + m[5]; memcpy(c, temp, sizeof(float) * 6); return *this; } // Overload multiply operator Matrix2x3 Matrix2x3::operator*(const Matrix2x3& m) const { Matrix2x3 ret = *this; ret *= m; return ret; } /* Perform translation operations on a matrix */ void Matrix2x3::translate(float x, float y) { Matrix2x3 newMatrix; // Create new identity matrix newMatrix.init(); newMatrix.transform.x = x; newMatrix.transform.y = y; *this *= newMatrix; } void Matrix2x3::translate(const Vector2& v) { translate(v.x, v.y); } /* Rotate a matrix by an angle on a X, Y, or Z axis */ void Matrix2x3::rotate(float angle) { Matrix2x3 newMatrix; newMatrix.init(); newMatrix.c[0] = cosf(angle); newMatrix.c[1] = -sinf(angle); newMatrix.c[2] = -newMatrix.c[1]; newMatrix.c[3] = newMatrix.c[0]; *this *= newMatrix; } /* Scale matrix by separate x, y, and z amounts */ void Matrix2x3::scale(float x, float y) { Matrix2x3 newMatrix; // Create new identity matrix newMatrix.init(); newMatrix.c[0] = x; newMatrix.c[3] = y; *this *= newMatrix; } void Matrix2x3::scale(const Vector2& v) { scale(v.x, v.y); } /* Scale all dimensions equally */ void Matrix2x3::scale(float s) { scale(s, s); } /* Replace matrix with its inverse */ bool Matrix2x3::invert() { float det = c[0] * c[3] - c[1] * c[2]; if (det == 0) { return false; } float invdet = 1.0f / det; float tmp[6]; tmp[0] = c[3] * invdet; tmp[1] = -c[1] * invdet; tmp[2] = -c[2] * invdet; tmp[3] = c[0] * invdet; tmp[4] = (c[2] * c[5] - c[3] * c[4]) * invdet; tmp[5] = (c[1] * c[4] - c[0] * c[5]) * invdet; memcpy(c, tmp, sizeof(float) * 6); return true; } /* Dot Product, returning Vector2 */ Vector2 Matrix2x3::Dot(const Matrix2x3& m, const Vector2& v) { return Vector2::Create( v.c[0] * m.c[0] + v.c[1] * m.c[2] + m.c[4], v.c[0] * m.c[1] + v.c[1] * m.c[3] + m.c[5] ); } // Dot product without including translation; useful for transforming normals and tangents Vector2 Matrix2x3::DotNoTranslate(const Matrix2x3& m, const Vector2& v) { return Vector2::Create( v.c[0] * m.c[0] + v.c[1] * m.c[2], v.c[0] * m.c[1] + v.c[1] * m.c[3] ); } Matrix2x3 Matrix2x3::Invert(const Matrix2x3& m) { Matrix2x3 matInvert = m; matInvert.invert(); return matInvert; } Matrix2x3 Matrix2x3::Translation(const Vector2& v) { Matrix2x3 m; m.init(); m.transform.x = v.x; m.transform.y = v.y; return m; } Matrix2x3 Matrix2x3::Rotation(float angle) { Matrix2x3 m; m.init(); m.rotate(angle); return m; } Matrix2x3 Matrix2x3::Scaling(const Vector2& v) { Matrix2x3 m; m.init(); m.scale(v); return m; } Matrix2x3 Matrix2x3::Identity() { Matrix2x3 m; m.init(); return m; } } // namespace kraken