Audacity  2.2.2
Matrix.cpp File Reference
`#include <stdlib.h>`
`#include <math.h>`
`#include <wx/defs.h>`
`#include "Matrix.h"`

Go to the source code of this file.

## Functions

Matrix IdentityMatrix (unsigned N)

Vector operator+ (const Vector &left, const Vector &right)

Vector operator- (const Vector &left, const Vector &right)

Vector operator* (const Vector &left, const Vector &right)

Vector operator* (const Vector &left, double right)

Vector VectorSubset (const Vector &other, unsigned start, unsigned len)

Vector VectorConcatenate (const Vector &left, const Vector &right)

Vector operator* (const Vector &left, const Matrix &right)

Vector operator* (const Matrix &left, const Vector &right)

Matrix operator+ (const Matrix &left, const Matrix &right)

Matrix operator* (const Matrix &left, const double right)

Matrix ScalarMultiply (const Matrix &left, const Matrix &right)

Matrix MatrixMultiply (const Matrix &left, const Matrix &right)

Matrix MatrixSubset (const Matrix &input, unsigned startRow, unsigned numRows, unsigned startCol, unsigned numCols)

Matrix MatrixConcatenateCols (const Matrix &left, const Matrix &right)

Matrix TransposeMatrix (const Matrix &other)

bool InvertMatrix (const Matrix &input, Matrix &Minv)

## Function Documentation

 Matrix IdentityMatrix ( unsigned N )

Definition at line 127 of file Matrix.cpp.

Referenced by InvertMatrix().

128 {
129  Matrix M(N, N);
130  for(unsigned i = 0; i < N; i++)
131  M[i][i] = 1.0;
132  return M;
133 }
Holds a matrix of doubles and supports arithmetic, subsetting, and matrix inversion. Used by InterpolateAudio.
Definition: Matrix.h:57
 bool InvertMatrix ( const Matrix & input, Matrix & Minv )

Definition at line 289 of file Matrix.cpp.

References Matrix::Cols(), IdentityMatrix(), Matrix::Rows(), and Matrix::SwapRows().

Referenced by InterpolateAudio().

290 {
291  // Very straightforward implementation of
292  // Gauss-Jordan elimination to invert a matrix.
293  // Returns true if successful
294
295  wxASSERT(input.Rows() == input.Cols());
296  auto N = input.Rows();
297
298  Matrix M = input;
299  Minv = IdentityMatrix(N);
300
301  // Do the elimination one column at a time
302  for(unsigned i = 0; i < N; i++) {
303  // Pivot the row with the largest absolute value in
304  // column i, into row i
305  double absmax = 0.0;
306  unsigned int argmax = 0;
307
308  for(unsigned j = i; j < N; j++)
309  if (fabs(M[j][i]) > absmax) {
310  absmax = fabs(M[j][i]);
311  argmax = j;
312  }
313
314  // If no row has a nonzero value in that column,
315  // the matrix is singular and we have to give up.
316  if (absmax == 0)
317  return false;
318
319  if (i != argmax) {
320  M.SwapRows(i, argmax);
321  Minv.SwapRows(i, argmax);
322  }
323
324  // Divide this row by the value of M[i][i]
325  double factor = 1.0 / M[i][i];
326  M[i] = M[i] * factor;
327  Minv[i] = Minv[i] * factor;
328
329  // Eliminate the rest of the column
330  for(unsigned j = 0; j < N; j++) {
331  if (j == i)
332  continue;
333  if (fabs(M[j][i]) > 0) {
334  // Subtract a multiple of row i from row j
335  double factor = M[j][i];
336  for(unsigned k = 0; k < N; k++) {
337  M[j][k] -= (M[i][k] * factor);
338  Minv[j][k] -= (Minv[i][k] * factor);
339  }
340  }
341  }
342  }
343
344  return true;
345 }
void SwapRows(unsigned i, unsigned j)
Definition: Matrix.cpp:122
unsigned Rows() const
Definition: Matrix.h:68
Matrix IdentityMatrix(unsigned N)
Definition: Matrix.cpp:127
Holds a matrix of doubles and supports arithmetic, subsetting, and matrix inversion. Used by InterpolateAudio.
Definition: Matrix.h:57
unsigned Cols() const
Definition: Matrix.h:69
 Matrix MatrixConcatenateCols ( const Matrix & left, const Matrix & right )

Definition at line 267 of file Matrix.cpp.

References Matrix::Cols(), and Matrix::Rows().

Referenced by InterpolateAudio().

268 {
269  wxASSERT(left.Rows() == right.Rows());
270  Matrix M(left.Rows(), left.Cols() + right.Cols());
271  for(unsigned i = 0; i < left.Rows(); i++) {
272  for(unsigned j = 0; j < left.Cols(); j++)
273  M[i][j] = left[i][j];
274  for(unsigned j = 0; j < right.Cols(); j++)
275  M[i][j+left.Cols()] = right[i][j];
276  }
277  return M;
278 }
unsigned Rows() const
Definition: Matrix.h:68
Holds a matrix of doubles and supports arithmetic, subsetting, and matrix inversion. Used by InterpolateAudio.
Definition: Matrix.h:57
unsigned Cols() const
Definition: Matrix.h:69
 Matrix MatrixMultiply ( const Matrix & left, const Matrix & right )

Definition at line 243 of file Matrix.cpp.

References Matrix::Cols(), and Matrix::Rows().

Referenced by InterpolateAudio().

244 {
245  wxASSERT(left.Cols() == right.Rows());
246  Matrix M(left.Rows(), right.Cols());
247  for(unsigned i = 0; i < left.Rows(); i++)
248  for(unsigned j = 0; j < right.Cols(); j++) {
249  M[i][j] = 0.0;
250  for(unsigned k = 0; k < left.Cols(); k++)
251  M[i][j] += left[i][k] * right[k][j];
252  }
253  return M;
254 }
unsigned Rows() const
Definition: Matrix.h:68
Holds a matrix of doubles and supports arithmetic, subsetting, and matrix inversion. Used by InterpolateAudio.
Definition: Matrix.h:57
unsigned Cols() const
Definition: Matrix.h:69
 Matrix MatrixSubset ( const Matrix & input, unsigned startRow, unsigned numRows, unsigned startCol, unsigned numCols )

Definition at line 256 of file Matrix.cpp.

Referenced by InterpolateAudio().

259 {
260  Matrix M(numRows, numCols);
261  for(unsigned i = 0; i < numRows; i++)
262  for(unsigned j = 0; j < numCols; j++)
263  M[i][j] = input[startRow+i][startCol+j];
264  return M;
265 }
Holds a matrix of doubles and supports arithmetic, subsetting, and matrix inversion. Used by InterpolateAudio.
Definition: Matrix.h:57
 Vector operator* ( const Vector & left, const Vector & right )

Definition at line 153 of file Matrix.cpp.

References Vector::Len().

154 {
155  wxASSERT(left.Len() == right.Len());
156  Vector v(left.Len());
157  for(unsigned i = 0; i < left.Len(); i++)
158  v[i] = left[i] * right[i];
159  return v;
160 }
unsigned Len() const
Definition: Matrix.h:48
Holds a matrix of doubles and supports arithmetic operations, including Vector-Matrix operations...
Definition: Matrix.h:33
 Vector operator* ( const Vector & left, double right )

Definition at line 162 of file Matrix.cpp.

References Vector::Len().

163 {
164  Vector v(left.Len());
165  for(unsigned i = 0; i < left.Len(); i++)
166  v[i] = left[i] * right;
167  return v;
168 }
unsigned Len() const
Definition: Matrix.h:48
Holds a matrix of doubles and supports arithmetic operations, including Vector-Matrix operations...
Definition: Matrix.h:33
 Vector operator* ( const Vector & left, const Matrix & right )

Definition at line 188 of file Matrix.cpp.

References Matrix::Cols(), Vector::Len(), and Matrix::Rows().

189 {
190  wxASSERT(left.Len() == right.Rows());
191  Vector v(right.Cols());
192  for(unsigned i = 0; i < right.Cols(); i++) {
193  v[i] = 0.0;
194  for(unsigned j = 0; j < right.Rows(); j++)
195  v[i] += left[j] * right[j][i];
196  }
197  return v;
198 }
unsigned Len() const
Definition: Matrix.h:48
unsigned Rows() const
Definition: Matrix.h:68
unsigned Cols() const
Definition: Matrix.h:69
Holds a matrix of doubles and supports arithmetic operations, including Vector-Matrix operations...
Definition: Matrix.h:33
 Vector operator* ( const Matrix & left, const Vector & right )

Definition at line 200 of file Matrix.cpp.

References Matrix::Cols(), Vector::Len(), and Matrix::Rows().

201 {
202  wxASSERT(left.Cols() == right.Len());
203  Vector v(left.Rows());
204  for(unsigned i = 0; i < left.Rows(); i++) {
205  v[i] = 0.0;
206  for(unsigned j = 0; j < left.Cols(); j++)
207  v[i] += left[i][j] * right[j];
208  }
209  return v;
210 }
unsigned Len() const
Definition: Matrix.h:48
unsigned Rows() const
Definition: Matrix.h:68
unsigned Cols() const
Definition: Matrix.h:69
Holds a matrix of doubles and supports arithmetic operations, including Vector-Matrix operations...
Definition: Matrix.h:33
 Matrix operator* ( const Matrix & left, const double right )

Definition at line 223 of file Matrix.cpp.

References Matrix::Cols(), and Matrix::Rows().

224 {
225  Matrix M(left.Rows(), left.Cols());
226  for(unsigned i = 0; i < left.Rows(); i++)
227  for(unsigned j = 0; j < left.Cols(); j++)
228  M[i][j] = left[i][j] * right;
229  return M;
230 }
unsigned Rows() const
Definition: Matrix.h:68
Holds a matrix of doubles and supports arithmetic, subsetting, and matrix inversion. Used by InterpolateAudio.
Definition: Matrix.h:57
unsigned Cols() const
Definition: Matrix.h:69
 Vector operator+ ( const Vector & left, const Vector & right )

Definition at line 135 of file Matrix.cpp.

References Vector::Len().

136 {
137  wxASSERT(left.Len() == right.Len());
138  Vector v(left.Len());
139  for(unsigned i = 0; i < left.Len(); i++)
140  v[i] = left[i] + right[i];
141  return v;
142 }
unsigned Len() const
Definition: Matrix.h:48
Holds a matrix of doubles and supports arithmetic operations, including Vector-Matrix operations...
Definition: Matrix.h:33
 Matrix operator+ ( const Matrix & left, const Matrix & right )

Definition at line 212 of file Matrix.cpp.

References Matrix::Cols(), and Matrix::Rows().

213 {
214  wxASSERT(left.Rows() == right.Rows());
215  wxASSERT(left.Cols() == right.Cols());
216  Matrix M(left.Rows(), left.Cols());
217  for(unsigned i = 0; i < left.Rows(); i++)
218  for(unsigned j = 0; j < left.Cols(); j++)
219  M[i][j] = left[i][j] + right[i][j];
220  return M;
221 }
unsigned Rows() const
Definition: Matrix.h:68
Holds a matrix of doubles and supports arithmetic, subsetting, and matrix inversion. Used by InterpolateAudio.
Definition: Matrix.h:57
unsigned Cols() const
Definition: Matrix.h:69
 Vector operator- ( const Vector & left, const Vector & right )

Definition at line 144 of file Matrix.cpp.

References Vector::Len().

145 {
146  wxASSERT(left.Len() == right.Len());
147  Vector v(left.Len());
148  for(unsigned i = 0; i < left.Len(); i++)
149  v[i] = left[i] - right[i];
150  return v;
151 }
unsigned Len() const
Definition: Matrix.h:48
Holds a matrix of doubles and supports arithmetic operations, including Vector-Matrix operations...
Definition: Matrix.h:33
 Matrix ScalarMultiply ( const Matrix & left, const Matrix & right )

Definition at line 232 of file Matrix.cpp.

References Matrix::Cols(), and Matrix::Rows().

233 {
234  wxASSERT(left.Rows() == right.Rows());
235  wxASSERT(left.Cols() == right.Cols());
236  Matrix M(left.Rows(), left.Cols());
237  for(unsigned i = 0; i < left.Rows(); i++)
238  for(unsigned j = 0; j < left.Cols(); j++)
239  M[i][j] = left[i][j] * right[i][j];
240  return M;
241 }
unsigned Rows() const
Definition: Matrix.h:68
Holds a matrix of doubles and supports arithmetic, subsetting, and matrix inversion. Used by InterpolateAudio.
Definition: Matrix.h:57
unsigned Cols() const
Definition: Matrix.h:69
 Matrix TransposeMatrix ( const Matrix & other )

Definition at line 280 of file Matrix.cpp.

References Matrix::Cols(), and Matrix::Rows().

Referenced by InterpolateAudio().

281 {
282  Matrix M(other.Cols(), other.Rows());
283  for(unsigned i = 0; i < other.Rows(); i++)
284  for(unsigned j = 0; j < other.Cols(); j++)
285  M[j][i] = other[i][j];
286  return M;
287 }
unsigned Rows() const
Definition: Matrix.h:68
Holds a matrix of doubles and supports arithmetic, subsetting, and matrix inversion. Used by InterpolateAudio.
Definition: Matrix.h:57
unsigned Cols() const
Definition: Matrix.h:69
 Vector VectorConcatenate ( const Vector & left, const Vector & right )

Definition at line 178 of file Matrix.cpp.

References Vector::Len().

Referenced by InterpolateAudio().

179 {
180  Vector v(left.Len() + right.Len());
181  for(unsigned i = 0; i < left.Len(); i++)
182  v[i] = left[i];
183  for(unsigned i = 0; i < right.Len(); i++)
184  v[i + left.Len()] = right[i];
185  return v;
186 }
unsigned Len() const
Definition: Matrix.h:48
Holds a matrix of doubles and supports arithmetic operations, including Vector-Matrix operations...
Definition: Matrix.h:33
 Vector VectorSubset ( const Vector & other, unsigned start, unsigned len )

Definition at line 170 of file Matrix.cpp.

Referenced by InterpolateAudio().

171 {
172  Vector v(len);
173  for(unsigned i = 0; i < len; i++)
174  v[i] = other[start+i];
175  return v;
176 }
Holds a matrix of doubles and supports arithmetic operations, including Vector-Matrix operations...
Definition: Matrix.h:33