/usr/include/synfig-1.0/synfig/matrix.h is in libsynfig-dev 1.2.1-0ubuntu4.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 | /* === S Y N F I G ========================================================= */
/*! \file matrix.h
** \brief Matrix definitions for 2D affine transformations
**
** $Id$
**
** \legal
** Copyright (c) 2008 Carlos López & Chirs Moore
**
** This package is free software; you can redistribute it and/or
** modify it under the terms of the GNU General Public License as
** published by the Free Software Foundation; either version 2 of
** the License, or (at your option) any later version.
**
** This package is distributed in the hope that it will be useful,
** but WITHOUT ANY WARRANTY; without even the implied warranty of
** MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
** General Public License for more details.
** \endlegal
*/
/* ========================================================================= */
/* === S T A R T =========================================================== */
#ifndef __SYNFIG_MATRIX_H
#define __SYNFIG_MATRIX_H
/* === H E A D E R S ======================================================= */
#include "angle.h"
#include "real.h"
#include "vector.h"
#include "string.h"
#include <cassert>
#include <cmath>
#include <iostream>
#include <ETL/stringf>
/* === M A C R O S ========================================================= */
#define COUT_MATRIX(m) \
cout<<"["<<m.m00<<"]["<<m.m01<<"]["<<m.m02<<"]"<<endl; \
cout<<"["<<m.m10<<"]["<<m.m11<<"]["<<m.m12<<"]"<<endl; \
cout<<"["<<m.m20<<"]["<<m.m21<<"]["<<m.m22<<"]"<<endl
/* === T Y P E D E F S ===================================================== */
/* === C L A S S E S & S T R U C T S ======================================= */
namespace synfig {
/*! \class Matrix2
** \todo writeme (Matrix 2x2)
*/
class Matrix2
{
public:
typedef Real value_type;
public:
//! The matrix array
union {
value_type m[2][2];
struct
{
value_type m00, m01;
value_type m10, m11;
};
};
//!Default constructor makes an identity matrix
Matrix2(): m00(1.0), m01(0.0), m10(0.0), m11(1.0) { }
Matrix2(value_type m00, value_type m01, value_type m10, value_type m11):
m00(m00), m01(m01), m10(m10), m11(m11) { }
Matrix2(const Vector &axis_x, const Vector &axis_y):
m00(axis_x[0]), m01(axis_x[1]), m10(axis_y[0]), m11(axis_y[1]) { }
Vector get_axis_x()const { return Vector(m00, m01); }
Vector get_axis_y()const { return Vector(m10, m11); }
//!set_identity member. Set an identity matrix
Matrix2 &set_identity()
{ return *this = Matrix2(); }
bool is_identity() const
{ return *this == Matrix2(); }
//!set_scale member function. Sets a scale matrix
//! @param sx Scale by X axis
//! @param sy Scale by Y axis
//! @return A matrix reference filled with the sx, sy values
Matrix2 &set_scale(const value_type &sx, const value_type &sy);
//!set_scale member fucntion. Sets a scale matrix
//! @param sxy Scale by X and Y axis
//! @return A matrix reference filled with the sxy values
Matrix2 &set_scale(const value_type &sxy)
{ return set_scale(sxy, sxy); }
//!set_scale member fucntion. Sets a scale matrix
//! @param s Vector that defines the scale
//! @return A matrix reference filled with the proper scale parameters
Matrix2 &set_scale(const Vector &s)
{ return set_scale(s[0], s[1]); }
//!set_rotate member function. Sets a rotate matrix
//! @param a Rotation angle counter clockwise
//! @return A matrix reference filled with the proper rotation parameters
Matrix2 &set_rotate(const Angle &a);
void get_transformed(value_type &out_x, value_type &out_y, const value_type x, const value_type y)const;
//!get_transformed member function.
//! @param v 2D Vector to transform
//! @return The Vector result
Vector get_transformed(const Vector &v)const
{ Vector vv; get_transformed(vv[0], vv[1], v[0], v[1]); return vv; }
bool operator==(const Matrix2 &rhs) const;
bool operator!=(const Matrix2 &rhs) const
{ return !(*this == rhs); }
//! operator*=. Multiplication and assignment of one matrix by another
//! @param rhs the right hand side of the multiplication operation
//! @return the modified resulting matrix
Matrix2 operator*=(const Matrix2 &rhs);
//! operator*=. Multiplication and assignment of one matrix by a scalar
//! @param rhs the number to multiply by
//! @return the modifed resulting matrix
Matrix2 operator*=(const value_type &rhs);
//! operator+=. Sum and assignment of two matrixes
//! @param rhs the matrix to sum
//! @return modified matrix with the summed matrix
Matrix2 operator+=(const Matrix2 &rhs);
//! operator*. Multiplication of one matrix by another
//! @param rhs the right hand side of the multiplication operation
//! @return the resulting matrix
Matrix2 operator*(const Matrix2 &rhs)const
{ return Matrix2(*this) *= rhs; }
//! operator*. Multiplication of one matrix by a number
//! @param rhs the number to multiply by
//! @return the resulting matrix
Matrix2 operator*(const value_type &rhs)const
{ return Matrix2(*this) *= rhs; }
//! operator+. Sum two matrixes
//! @param rhs the matrix to sum
//! @return the resulting matrix
Matrix2 operator+(const Matrix2 &rhs)const
{ return Matrix2(*this) += rhs; }
bool is_invertible()const;
Matrix2 &invert();
//!Get the string of the Matrix
//!@return String type. A string representation of the matrix
//!components.
String get_string(int spaces = 0, String before = String(), String after = String())const;
};
/*! \class Matrix3
** \todo writeme (Matrix 3x3)
*/
class Matrix3
{
public:
typedef Real value_type;
public:
//! The matrix array
union {
value_type m[3][3];
struct
{
value_type m00, m01, m02;
value_type m10, m11, m12;
value_type m20, m21, m22;
};
};
// Index convention
// 00 01 02
// 10 11 12
// 20 21 22
// vectors are premultiplied when the matrix transformation is applied
// we consider the vectors as [1]x[3] arrays.
// [1]x[3] * [3]x[3] = [1]x[3]
// vector * matrix = vector
// In affine transformation matrixes the values of
// m02=0, m12=0 and m22=1 for non projective transformations.
//!Default constructor makes an identity matrix
Matrix3():
m00(1.0), m01(0.0), m02(0.0),
m10(0.0), m11(1.0), m12(0.0),
m20(0.0), m21(0.0), m22(1.0) { }
Matrix3(
value_type m00, value_type m01, value_type m02,
value_type m10, value_type m11, value_type m12,
value_type m20, value_type m21, value_type m22
):
m00(m00), m01(m01), m02(m02),
m10(m10), m11(m11), m12(m12),
m20(m20), m21(m21), m22(m22)
{ }
Matrix3(Vector axis_x, Vector axis_y, Vector offset):
m00(axis_x[0]), m01(axis_x[1]), m02(0.0),
m10(axis_y[0]), m11(axis_y[1]), m12(0.0),
m20(offset[0]), m21(offset[1]), m22(1.0)
{ }
Vector get_axis_x()const { return Vector(m00, m01); }
Vector get_axis_y()const { return Vector(m10, m11); }
Vector get_offset()const { return Vector(m20, m21); }
//!set_identity member. Set an identity matrix
Matrix3 &set_identity()
{ return *this = Matrix3(); }
bool is_identity() const
{ return *this == Matrix3(); }
//!set_scale member function. Sets a scale matrix
//! @param sx Scale by X axis
//! @param sy Scale by Y axis
//! @return A matrix reference filled with the sx, sy values
Matrix3 &set_scale(const value_type &sx, const value_type &sy);
//!set_scale member fucntion. Sets a scale matrix
//! @param sxy Scale by X and Y axis
//! @return A matrix reference filled with the sxy values
Matrix3 &set_scale(const value_type &sxy)
{ return set_scale(sxy, sxy); }
//!set_scale member fucntion. Sets a scale matrix
//! @param s Vector that defines the scale
//! @return A matrix reference filled with the proper scale parameters
Matrix3 &set_scale(const Vector &s)
{ return set_scale(s[0], s[1]); }
//!set_rotate member function. Sets a rotate matrix
//! @param a Rotation angle counter clockwise
//! @return A matrix reference filled with the proper rotation parameters
Matrix3 &set_rotate(const Angle &a);
//!translate member function. Sets a translate matrix
//! @param t Vector that defines the translation
//! @return A matrix reference filled with the proper translation parameters
Matrix3 &set_translate(const Vector &t)
{ return set_translate(t[0], t[1]); }
//!translate member function. Sets a translate matrix
//! @param x Scalar that defines the x component of the translation
//! @param y Scalar that defines the y component of the translation
//! @return A matrix reference filled with the proper translation parameters
Matrix3 &set_translate(value_type x, value_type y);
void get_transformed(value_type &out_x, value_type &out_y, const value_type x, const value_type y, bool translate = true)const;
//!get_transformed member function.
//! @param v 2D Vector to transform
//! @return The Vector result
Vector get_transformed(const Vector &v, bool translate = true)const
{ Vector vv; get_transformed(vv[0], vv[1], v[0], v[1], translate); return vv; }
bool operator==(const Matrix3 &rhs) const;
bool operator!=(const Matrix3 &rhs) const
{ return !(*this == rhs); }
//! operator*=. Multiplication and assignment of one matrix by another
//! @param rhs the right hand side of the multiplication operation
//! @return the modified resulting matrix
Matrix3 operator*=(const Matrix3 &rhs);
//! operator*=. Multiplication and assignment of one matrix by a scalar
//! @param rhs the number to multiply by
//! @return the modifed resulting matrix
Matrix3 operator*=(const value_type &rhs);
//! operator+=. Sum and assignment of two matrixes
//! @param rhs the matrix to sum
//! @return modified matrix with the summed matrix
Matrix3 operator+=(const Matrix3 &rhs);
//! operator*. Multiplication of one matrix by another
//! @param rhs the right hand side of the multiplication operation
//! @return the resulting matrix
Matrix3 operator*(const Matrix3 &rhs)const
{ return Matrix3(*this) *= rhs; }
//! operator*. Multiplication of one matrix by a number
//! @param rhs the number to multiply by
//! @return the resulting matrix
Matrix3 operator*(const value_type &rhs)const
{ return Matrix3(*this) *= rhs; }
//! operator+. Sum two matrixes
//! @param rhs the matrix to sum
//! @return the resulting matrix
Matrix3 operator+(const Matrix3 &rhs)const
{ return Matrix3(*this) += rhs; }
bool is_invertible()const;
// (m00 m01 0) 1 ( m11 ) ( -m01 ) ( 0 )
// inverse (m10 m11 0) = ----- x ( -m10 ) ( m00 ) ( 0 )
// (m20 m21 1) m00m11-m01m10 (m10m21-m11m20) (m01m20-m00m21) (m00m11-m01m10)
Matrix3 &invert();
//!Get the string of the Matrix
//!@return String type. A string representation of the matrix
//!components.
String get_string(int spaces = 0, String before = String(), String after = String())const;
};
typedef Matrix3 Matrix;
}; // END of namespace synfig
#endif
|