VTK  9.2.6
vtkMatrix4x4.h
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1/*=========================================================================
2
3 Program: Visualization Toolkit
4 Module: vtkMatrix4x4.h
5
6 Copyright (c) Ken Martin, Will Schroeder, Bill Lorensen
7 All rights reserved.
8 See Copyright.txt or http://www.kitware.com/Copyright.htm for details.
9
10 This software is distributed WITHOUT ANY WARRANTY; without even
11 the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
12 PURPOSE. See the above copyright notice for more information.
13
14=========================================================================*/
44#ifndef vtkMatrix4x4_h
45#define vtkMatrix4x4_h
46
47#include "vtkCommonMathModule.h" // For export macro
48#include "vtkObject.h"
49
50class VTKCOMMONMATH_EXPORT vtkMatrix4x4 : public vtkObject
51{
52public:
54 double Element[4][4];
55
59 static vtkMatrix4x4* New();
60
61 vtkTypeMacro(vtkMatrix4x4, vtkObject);
62 void PrintSelf(ostream& os, vtkIndent indent) override;
63
69 {
70 vtkMatrix4x4::DeepCopy(*this->Element, source);
71 this->Modified();
72 }
73
78 static void DeepCopy(double destination[16], const vtkMatrix4x4* source)
79 {
80 vtkMatrix4x4::DeepCopy(destination, *source->Element);
81 }
82
87 static void DeepCopy(double destination[16], const double source[16]);
88
93 void DeepCopy(const double elements[16])
94 {
95 this->DeepCopy(*this->Element, elements);
96 this->Modified();
97 }
98
102 void Zero()
103 {
104 vtkMatrix4x4::Zero(*this->Element);
105 this->Modified();
106 }
107 static void Zero(double elements[16]);
108
112 void Identity()
113 {
114 vtkMatrix4x4::Identity(*this->Element);
115 this->Modified();
116 }
117 static void Identity(double elements[16]);
118
122 bool IsIdentity();
123
128 static void Invert(const vtkMatrix4x4* in, vtkMatrix4x4* out)
129 {
131 out->Modified();
132 }
133 void Invert() { vtkMatrix4x4::Invert(this, this); }
134 static void Invert(const double inElements[16], double outElements[16]);
135
139 static void Transpose(const vtkMatrix4x4* in, vtkMatrix4x4* out)
140 {
142 out->Modified();
143 }
144 void Transpose() { vtkMatrix4x4::Transpose(this, this); }
145 static void Transpose(const double inElements[16], double outElements[16]);
146
148
151 static void MatrixFromRotation(double angle, double x, double y, double z, vtkMatrix4x4* result);
152 static void MatrixFromRotation(double angle, double x, double y, double z, double matrix[16]);
154
161 static void PoseToMatrix(double pos[3], double ori[4], vtkMatrix4x4* mat);
162
167 void MultiplyPoint(const float in[4], float out[4])
168 {
169 vtkMatrix4x4::MultiplyPoint(*this->Element, in, out);
170 }
171 void MultiplyPoint(const double in[4], double out[4])
172 {
173 vtkMatrix4x4::MultiplyPoint(*this->Element, in, out);
174 }
175
176 static void MultiplyPoint(const double elements[16], const float in[4], float out[4]);
177 static void MultiplyPoint(const double elements[16], const double in[4], double out[4]);
178
182 float* MultiplyPoint(const float in[4]) VTK_SIZEHINT(4) { return this->MultiplyFloatPoint(in); }
183 double* MultiplyPoint(const double in[4]) VTK_SIZEHINT(4)
184 {
185 return this->MultiplyDoublePoint(in);
186 }
187 float* MultiplyFloatPoint(const float in[4]) VTK_SIZEHINT(4)
188 {
189 this->MultiplyPoint(in, this->FloatPoint);
190 return this->FloatPoint;
191 }
192 double* MultiplyDoublePoint(const double in[4]) VTK_SIZEHINT(4)
193 {
194 this->MultiplyPoint(in, this->DoublePoint);
195 return this->DoublePoint;
196 }
197
199
202 static void Multiply4x4(const vtkMatrix4x4* a, const vtkMatrix4x4* b, vtkMatrix4x4* c);
203 static void Multiply4x4(const double a[16], const double b[16], double c[16]);
204 static void Multiply4x4(const double a[16], const double b[16], float c[16]);
205 static void MultiplyAndTranspose4x4(const double a[16], const double b[16], float c[16]);
207
211 void Adjoint(const vtkMatrix4x4* in, vtkMatrix4x4* out)
212 {
214 }
215 static void Adjoint(const double inElements[16], double outElements[16]);
216
220 double Determinant() { return vtkMatrix4x4::Determinant(*this->Element); }
221 static double Determinant(const double elements[16]);
222
226 void SetElement(int i, int j, double value);
227
231 double GetElement(int i, int j) const { return this->Element[i][j]; }
232
236 double* GetData() { return *this->Element; }
237
241 const double* GetData() const { return *this->Element; }
242
243protected:
245 ~vtkMatrix4x4() override = default;
246
247 float FloatPoint[4];
248 double DoublePoint[4];
249
250private:
251 vtkMatrix4x4(const vtkMatrix4x4&) = delete;
252 void operator=(const vtkMatrix4x4&) = delete;
253};
254
255//----------------------------------------------------------------------------
256// Multiplies matrices a and b and stores the result in c.
257inline void vtkMatrix4x4::Multiply4x4(const double a[16], const double b[16], double c[16])
258{
259 double tmp[16];
260
261 for (int i = 0; i < 16; i += 4)
262 {
263 for (int j = 0; j < 4; j++)
264 {
265 tmp[i + j] =
266 a[i + 0] * b[j + 0] + a[i + 1] * b[j + 4] + a[i + 2] * b[j + 8] + a[i + 3] * b[j + 12];
267 }
268 }
269
270 for (int k = 0; k < 16; k++)
271 {
272 c[k] = tmp[k];
273 }
274}
275
276//----------------------------------------------------------------------------
277// Multiplies matrices a and b and stores the result in c.
278inline void vtkMatrix4x4::Multiply4x4(const double a[16], const double b[16], float c[16])
279{
280 for (int i = 0; i < 16; i += 4)
281 {
282 for (int j = 0; j < 4; j++)
283 {
284 c[i + j] =
285 a[i + 0] * b[j + 0] + a[i + 1] * b[j + 4] + a[i + 2] * b[j + 8] + a[i + 3] * b[j + 12];
286 }
287 }
288}
289
290//----------------------------------------------------------------------------
291// Multiplies matrices a and b and stores the result in c.
293 const double a[16], const double b[16], float c[16])
294{
295 for (int i = 0; i < 4; i++)
296 {
297 for (int j = 0; j < 4; j++)
298 {
299 int it4 = i * 4;
300 c[i + j * 4] = a[it4 + 0] * b[j + 0] + a[it4 + 1] * b[j + 4] + a[it4 + 2] * b[j + 8] +
301 a[it4 + 3] * b[j + 12];
302 }
303 }
304}
305
306//----------------------------------------------------------------------------
308{
310}
311
312//----------------------------------------------------------------------------
313inline void vtkMatrix4x4::SetElement(int i, int j, double value)
314{
315 if (this->Element[i][j] != value)
316 {
317 this->Element[i][j] = value;
318 this->Modified();
319 }
320}
321
322//----------------------------------------------------------------------------
324{
325 double* M = *this->Element;
326 return M[0] == 1.0 && M[1] == 0.0 && M[2] == 0.0 && M[3] == 0.0 && M[4] == 0.0 && M[5] == 1.0 &&
327 M[6] == 0.0 && M[7] == 0.0 && M[8] == 0.0 && M[9] == 0.0 && M[10] == 1.0 && M[11] == 0.0 &&
328 M[12] == 0.0 && M[13] == 0.0 && M[14] == 0.0 && M[15] == 1.0;
329}
330
331#endif
a simple class to control print indentation
Definition vtkIndent.h:49
represent and manipulate 4x4 transformation matrices
static void Transpose(const double inElements[16], double outElements[16])
static double Determinant(const double elements[16])
void DeepCopy(const vtkMatrix4x4 *source)
Set the elements of the matrix to the same values as the elements of the given source matrix.
static vtkMatrix4x4 * New()
Construct a 4x4 identity matrix.
void DeepCopy(const double elements[16])
Non-static member function.
double GetElement(int i, int j) const
Returns the element i,j from the matrix.
static void MatrixFromRotation(double angle, double x, double y, double z, double matrix[16])
Construct a matrix from a rotation.
double * MultiplyDoublePoint(const double in[4])
void PrintSelf(ostream &os, vtkIndent indent) override
Methods invoked by print to print information about the object including superclasses.
static void Multiply4x4(const vtkMatrix4x4 *a, const vtkMatrix4x4 *b, vtkMatrix4x4 *c)
Multiplies matrices a and b and stores the result in c.
void MultiplyPoint(const double in[4], double out[4])
static void Adjoint(const double inElements[16], double outElements[16])
void MultiplyPoint(const float in[4], float out[4])
Multiply a homogeneous coordinate by this matrix, i.e.
void Adjoint(const vtkMatrix4x4 *in, vtkMatrix4x4 *out)
Compute adjoint of the matrix and put it into out.
void Identity()
Set equal to Identity matrix.
static void MatrixFromRotation(double angle, double x, double y, double z, vtkMatrix4x4 *result)
Construct a matrix from a rotation.
double Determinant()
Compute the determinant of the matrix and return it.
void SetElement(int i, int j, double value)
Sets the element i,j in the matrix.
static void DeepCopy(double destination[16], const vtkMatrix4x4 *source)
Set the elements of the given destination buffer to the same values as the elements of the given sour...
void Zero()
Set all of the elements to zero.
double * GetData()
Returns the raw double array holding the matrix.
double Element[4][4]
The internal data is public for historical reasons. Do not use!
static void MultiplyAndTranspose4x4(const double a[16], const double b[16], float c[16])
Multiplies matrices a and b and stores the result in c.
static void DeepCopy(double destination[16], const double source[16])
Copies the given source buffer to the given destination buffer.
static void Invert(const double inElements[16], double outElements[16])
static void Invert(const vtkMatrix4x4 *in, vtkMatrix4x4 *out)
Matrix Inversion (adapted from Richard Carling in "Graphics Gems," Academic Press,...
static void PoseToMatrix(double pos[3], double ori[4], vtkMatrix4x4 *mat)
Given an orientation and position this function will fill in a matrix representing the transformation...
float * MultiplyPoint(const float in[4])
For use in Java or Python.
double * MultiplyPoint(const double in[4])
float * MultiplyFloatPoint(const float in[4])
static void Identity(double elements[16])
static void MultiplyPoint(const double elements[16], const double in[4], double out[4])
static void Zero(double elements[16])
static void Transpose(const vtkMatrix4x4 *in, vtkMatrix4x4 *out)
Transpose the matrix and put it into out.
const double * GetData() const
Returns the raw double array holding the matrix.
~vtkMatrix4x4() override=default
static void MultiplyPoint(const double elements[16], const float in[4], float out[4])
bool IsIdentity()
Returns true if this matrix is equal to the identity matrix.
abstract base class for most VTK objects
Definition vtkObject.h:72
virtual void Modified()
Update the modification time for this object.
boost::graph_traits< vtkGraph * >::vertex_descriptor source(boost::graph_traits< vtkGraph * >::edge_descriptor e, vtkGraph *)
#define VTK_SIZEHINT(...)