001    // --- BEGIN LICENSE BLOCK ---
002    /* 
003     * Copyright (c) 2009, Mikio L. Braun
004     * All rights reserved.
005     * 
006     * Redistribution and use in source and binary forms, with or without
007     * modification, are permitted provided that the following conditions are
008     * met:
009     * 
010     *     * Redistributions of source code must retain the above copyright
011     *       notice, this list of conditions and the following disclaimer.
012     * 
013     *     * Redistributions in binary form must reproduce the above
014     *       copyright notice, this list of conditions and the following
015     *       disclaimer in the documentation and/or other materials provided
016     *       with the distribution.
017     * 
018     *     * Neither the name of the Technische Universit??t Berlin nor the
019     *       names of its contributors may be used to endorse or promote
020     *       products derived from this software without specific prior
021     *       written permission.
022     * 
023     * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
024     * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
025     * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
026     * A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
027     * HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
028     * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
029     * LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
030     * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
031     * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
032     * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
033     * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
034     */
035    // --- END LICENSE BLOCK ---
036    
037    package org.jblas.la;
038     
039    import java.lang.Math;
040    
041    /**
042     * This class provides the functions from java.lang.Math for matrices. The
043     * functions are applied to each element of the matrix.
044     * 
045     * @author Mikio Braun
046     */
047    public class MatrixFunctions {
048    
049            /*#
050            def mapfct(f); <<-EOS
051               for (int i = 0; i < x.length; i++)
052                  x.put(i, (double) #{f}(x.get(i)));
053               return x;
054               EOS
055            end
056            
057            def cmapfct(f); <<-EOS
058               for (int i = 0; i < x.length; i++)
059                  x.put(i, x.get(i).#{f}());
060               return x;
061               EOS
062            end
063            #*/
064    
065            /**
066             * Sets all elements in this matrix to their absolute values. Note
067             * that this operation is in-place.
068             * @see MatrixFunctions#abs(DoubleMatrix)
069             * @return this matrix
070             */
071            public static DoubleMatrix absi(DoubleMatrix x) { 
072                    /*# mapfct('Math.abs') #*/
073    //RJPP-BEGIN------------------------------------------------------------
074               for (int i = 0; i < x.length; i++)
075                  x.put(i, (double) Math.abs(x.get(i)));
076               return x;
077    //RJPP-END--------------------------------------------------------------
078            }
079            
080            public static ComplexDoubleMatrix absi(ComplexDoubleMatrix x) {
081                    /*# cmapfct('abs') #*/
082    //RJPP-BEGIN------------------------------------------------------------
083               for (int i = 0; i < x.length; i++)
084                  x.put(i, x.get(i).abs());
085               return x;
086    //RJPP-END--------------------------------------------------------------
087            }
088            
089            /**
090             * Applies the trigonometric <i>arccosine</i> function element wise on this
091             * matrix. Note that this is an in-place operation.
092             * @see MatrixFunctions#acos(DoubleMatrix)
093             * @return this matrix
094             */
095            public static DoubleMatrix acosi(DoubleMatrix x) { 
096                    /*# mapfct('Math.acos') #*/
097    //RJPP-BEGIN------------------------------------------------------------
098               for (int i = 0; i < x.length; i++)
099                  x.put(i, (double) Math.acos(x.get(i)));
100               return x;
101    //RJPP-END--------------------------------------------------------------
102            }
103            
104            /**
105             * Applies the trigonometric <i>arcsine</i> function element wise on this
106             * matrix. Note that this is an in-place operation.
107             * @see MatrixFunctions#asin(DoubleMatrix)
108             * @return this matrix
109             */     
110            public static DoubleMatrix asini(DoubleMatrix x) { 
111                    /*# mapfct('Math.asin') #*/
112    //RJPP-BEGIN------------------------------------------------------------
113               for (int i = 0; i < x.length; i++)
114                  x.put(i, (double) Math.asin(x.get(i)));
115               return x;
116    //RJPP-END--------------------------------------------------------------
117            }
118            
119            /**
120             * Applies the trigonometric <i>arctangend</i> function element wise on this
121             * matrix. Note that this is an in-place operation.
122             * @see MatrixFunctions#atan(DoubleMatrix)
123             * @return this matrix
124             */             
125            public static DoubleMatrix atani(DoubleMatrix x) { 
126                    /*# mapfct('Math.atan') #*/
127    //RJPP-BEGIN------------------------------------------------------------
128               for (int i = 0; i < x.length; i++)
129                  x.put(i, (double) Math.atan(x.get(i)));
130               return x;
131    //RJPP-END--------------------------------------------------------------
132            }
133            
134            /**
135             * Applies the <i>cube root</i> function element wise on this
136             * matrix. Note that this is an in-place operation.
137             * @see MatrixFunctions#cbrt(DoubleMatrix)
138             * @return this matrix
139             */             
140            public static DoubleMatrix cbrti(DoubleMatrix x) { 
141                    /*# mapfct('Math.cbrt') #*/
142    //RJPP-BEGIN------------------------------------------------------------
143               for (int i = 0; i < x.length; i++)
144                  x.put(i, (double) Math.cbrt(x.get(i)));
145               return x;
146    //RJPP-END--------------------------------------------------------------
147            }
148            
149            /**
150             * Element-wise round up by applying the <i>ceil</i> function on each 
151             * element. Note that this is an in-place operation.
152             * @see MatrixFunctions#ceil(DoubleMatrix)
153             * @return this matrix
154             */             
155            public static DoubleMatrix ceili(DoubleMatrix x) { 
156                    /*# mapfct('Math.ceil') #*/
157    //RJPP-BEGIN------------------------------------------------------------
158               for (int i = 0; i < x.length; i++)
159                  x.put(i, (double) Math.ceil(x.get(i)));
160               return x;
161    //RJPP-END--------------------------------------------------------------
162            }
163            
164            /**
165             * Applies the <i>cosine</i> function element-wise on this
166             * matrix. Note that this is an in-place operation.
167             * @see MatrixFunctions#cos(DoubleMatrix)
168             * @return this matrix
169             */
170            public static DoubleMatrix cosi(DoubleMatrix x) { 
171                    /*# mapfct('Math.cos') #*/
172    //RJPP-BEGIN------------------------------------------------------------
173               for (int i = 0; i < x.length; i++)
174                  x.put(i, (double) Math.cos(x.get(i)));
175               return x;
176    //RJPP-END--------------------------------------------------------------
177            }
178            
179            /**
180             * Applies the <i>hyperbolic cosine</i> function element-wise on this
181             * matrix. Note that this is an in-place operation.
182             * @see MatrixFunctions#cosh(DoubleMatrix)
183             * @return this matrix
184             */     
185            public static DoubleMatrix coshi(DoubleMatrix x) { 
186                    /*# mapfct('Math.cosh') #*/
187    //RJPP-BEGIN------------------------------------------------------------
188               for (int i = 0; i < x.length; i++)
189                  x.put(i, (double) Math.cosh(x.get(i)));
190               return x;
191    //RJPP-END--------------------------------------------------------------
192            }
193            
194            /**
195             * Applies the <i>exponential</i> function element-wise on this
196             * matrix. Note that this is an in-place operation.
197             * @see MatrixFunctions#exp(DoubleMatrix)
198             * @return this matrix
199             */             
200            public static DoubleMatrix expi(DoubleMatrix x) { 
201                    /*# mapfct('Math.exp') #*/
202    //RJPP-BEGIN------------------------------------------------------------
203               for (int i = 0; i < x.length; i++)
204                  x.put(i, (double) Math.exp(x.get(i)));
205               return x;
206    //RJPP-END--------------------------------------------------------------
207            }
208            
209            /**
210             * Element-wise round down by applying the <i>floor</i> function on each 
211             * element. Note that this is an in-place operation.
212             * @see MatrixFunctions#floor(DoubleMatrix)
213             * @return this matrix
214             */             
215            public static DoubleMatrix floori(DoubleMatrix x) { 
216                    /*# mapfct('Math.floor') #*/
217    //RJPP-BEGIN------------------------------------------------------------
218               for (int i = 0; i < x.length; i++)
219                  x.put(i, (double) Math.floor(x.get(i)));
220               return x;
221    //RJPP-END--------------------------------------------------------------
222            }
223            
224            /**
225             * Applies the <i>natural logarithm</i> function element-wise on this
226             * matrix. Note that this is an in-place operation.
227             * @see MatrixFunctions#log(DoubleMatrix)
228             * @return this matrix
229             */             
230            public static DoubleMatrix logi(DoubleMatrix x) {
231                    /*# mapfct('Math.log') #*/
232    //RJPP-BEGIN------------------------------------------------------------
233               for (int i = 0; i < x.length; i++)
234                  x.put(i, (double) Math.log(x.get(i)));
235               return x;
236    //RJPP-END--------------------------------------------------------------
237            }
238            
239            /**
240             * Applies the <i>logarithm with basis to 10</i> element-wise on this
241             * matrix. Note that this is an in-place operation.
242             * @see MatrixFunctions#log10(DoubleMatrix)
243             * @return this matrix
244             */
245            public static DoubleMatrix log10i(DoubleMatrix x) {
246                    /*# mapfct('Math.log10') #*/
247    //RJPP-BEGIN------------------------------------------------------------
248               for (int i = 0; i < x.length; i++)
249                  x.put(i, (double) Math.log10(x.get(i)));
250               return x;
251    //RJPP-END--------------------------------------------------------------
252            }
253            
254            /**
255             * Element-wise power function. Replaces each element with its
256             * power of <tt>d</tt>.Note that this is an in-place operation.
257             * @param d the exponent
258             * @see MatrixFunctions#pow(DoubleMatrix,double)
259             * @return this matrix
260             */     
261            public static DoubleMatrix powi(DoubleMatrix x, double d) {
262                    if (d == 2.0)
263                            return x.muli(x);
264                    else {
265                            for (int i = 0; i < x.length; i++)
266                                    x.put(i, (double) Math.pow(x.get(i), d));
267                            return x;
268                    }
269            }
270    
271        public static DoubleMatrix powi(double base, DoubleMatrix x) {
272            for (int i = 0; i < x.length; i++)
273                x.put(i, (double) Math.pow(base, x.get(i)));
274            return x;
275        }
276    
277        public static DoubleMatrix powi(DoubleMatrix x, DoubleMatrix e) {
278            x.checkLength(e.length);
279            for (int i = 0; i < x.length; i++)
280                x.put(i, (double) Math.pow(x.get(i), e.get(i)));
281            return x;
282        }
283    
284        public static DoubleMatrix signumi(DoubleMatrix x) {
285                    /*# mapfct('Math.signum') #*/
286    //RJPP-BEGIN------------------------------------------------------------
287               for (int i = 0; i < x.length; i++)
288                  x.put(i, (double) Math.signum(x.get(i)));
289               return x;
290    //RJPP-END--------------------------------------------------------------
291            }
292            
293            public static DoubleMatrix sini(DoubleMatrix x) { 
294                    /*# mapfct('Math.sin') #*/
295    //RJPP-BEGIN------------------------------------------------------------
296               for (int i = 0; i < x.length; i++)
297                  x.put(i, (double) Math.sin(x.get(i)));
298               return x;
299    //RJPP-END--------------------------------------------------------------
300            }
301    
302            public static DoubleMatrix sinhi(DoubleMatrix x) { 
303                    /*# mapfct('Math.sinh') #*/
304    //RJPP-BEGIN------------------------------------------------------------
305               for (int i = 0; i < x.length; i++)
306                  x.put(i, (double) Math.sinh(x.get(i)));
307               return x;
308    //RJPP-END--------------------------------------------------------------
309            }
310            public static DoubleMatrix sqrti(DoubleMatrix x) { 
311                    /*# mapfct('Math.sqrt') #*/
312    //RJPP-BEGIN------------------------------------------------------------
313               for (int i = 0; i < x.length; i++)
314                  x.put(i, (double) Math.sqrt(x.get(i)));
315               return x;
316    //RJPP-END--------------------------------------------------------------
317            }
318            public static DoubleMatrix tani(DoubleMatrix x) {
319                    /*# mapfct('Math.tan') #*/
320    //RJPP-BEGIN------------------------------------------------------------
321               for (int i = 0; i < x.length; i++)
322                  x.put(i, (double) Math.tan(x.get(i)));
323               return x;
324    //RJPP-END--------------------------------------------------------------
325            }
326            public static DoubleMatrix tanhi(DoubleMatrix x) {
327                    /*# mapfct('Math.tanh') #*/
328    //RJPP-BEGIN------------------------------------------------------------
329               for (int i = 0; i < x.length; i++)
330                  x.put(i, (double) Math.tanh(x.get(i)));
331               return x;
332    //RJPP-END--------------------------------------------------------------
333            }
334    
335            /**
336             * Returns a copy of this matrix where all elements are set to their
337             * absolute values. 
338             * @see MatrixFunctions#absi(DoubleMatrix)
339             * @return copy of this matrix
340             */
341            public static DoubleMatrix abs(DoubleMatrix x) { return absi(x.dup()); }
342            
343            /**
344             * Returns a copy of this matrix where the trigonometric <i>acos</i> function is applied
345             * element wise.
346             * @see MatrixFunctions#acosi(DoubleMatrix)
347             * @return copy of this matrix
348             */
349            public static DoubleMatrix acos(DoubleMatrix x)   { return acosi(x.dup()); }
350            public static DoubleMatrix asin(DoubleMatrix x)   { return asini(x.dup()); }
351            public static DoubleMatrix atan(DoubleMatrix x)   { return atani(x.dup()); }
352            public static DoubleMatrix cbrt(DoubleMatrix x)   { return cbrti(x.dup()); }
353        public static DoubleMatrix ceil(DoubleMatrix x)   { return ceili(x.dup()); }
354        public static DoubleMatrix cos(DoubleMatrix x)    { return cosi(x.dup()); }
355        public static DoubleMatrix cosh(DoubleMatrix x)   { return coshi(x.dup()); }
356        public static DoubleMatrix exp(DoubleMatrix x)    { return expi(x.dup()); }
357        public static DoubleMatrix floor(DoubleMatrix x)  { return floori(x.dup()); }
358        public static DoubleMatrix log(DoubleMatrix x)    { return logi(x.dup()); }
359        public static DoubleMatrix log10(DoubleMatrix x)  { return log10i(x.dup()); }
360        public static double pow(double x, double y) { return (double)Math.pow(x, y); }
361        public static DoubleMatrix pow(DoubleMatrix x, double e) { return powi(x.dup(), e); }
362        public static DoubleMatrix pow(double b, DoubleMatrix x) { return powi(b, x.dup()); }
363        public static DoubleMatrix pow(DoubleMatrix x, DoubleMatrix e) { return powi(x.dup(), e); }
364        public static DoubleMatrix signum(DoubleMatrix x) { return signumi(x.dup()); }
365        public static DoubleMatrix sin(DoubleMatrix x)    { return sini(x.dup()); }
366        public static DoubleMatrix sinh(DoubleMatrix x)   { return sinhi(x.dup()); }
367        public static DoubleMatrix sqrt(DoubleMatrix x)   { return sqrti(x.dup()); }
368        public static DoubleMatrix tan(DoubleMatrix x)    { return tani(x.dup()); }
369        public static DoubleMatrix tanh(DoubleMatrix x)   { return tanhi(x.dup()); }
370    
371        /*# %w{abs acos asin atan cbrt ceil cos cosh exp floor log log10 signum sin sinh sqrt tan tanh}.map do |fct| <<-EOS
372        public static double #{fct}(double x) { return (double)Math.#{fct}(x); }
373        EOS
374            end   
375         #*/
376    //RJPP-BEGIN------------------------------------------------------------
377        public static double abs(double x) { return (double)Math.abs(x); }
378        public static double acos(double x) { return (double)Math.acos(x); }
379        public static double asin(double x) { return (double)Math.asin(x); }
380        public static double atan(double x) { return (double)Math.atan(x); }
381        public static double cbrt(double x) { return (double)Math.cbrt(x); }
382        public static double ceil(double x) { return (double)Math.ceil(x); }
383        public static double cos(double x) { return (double)Math.cos(x); }
384        public static double cosh(double x) { return (double)Math.cosh(x); }
385        public static double exp(double x) { return (double)Math.exp(x); }
386        public static double floor(double x) { return (double)Math.floor(x); }
387        public static double log(double x) { return (double)Math.log(x); }
388        public static double log10(double x) { return (double)Math.log10(x); }
389        public static double signum(double x) { return (double)Math.signum(x); }
390        public static double sin(double x) { return (double)Math.sin(x); }
391        public static double sinh(double x) { return (double)Math.sinh(x); }
392        public static double sqrt(double x) { return (double)Math.sqrt(x); }
393        public static double tan(double x) { return (double)Math.tan(x); }
394        public static double tanh(double x) { return (double)Math.tanh(x); }
395    //RJPP-END--------------------------------------------------------------
396        
397    //BEGIN
398      // The code below has been automatically generated.
399      // DO NOT EDIT!
400    
401            /*#
402            def mapfct(f); <<-EOS
403               for (int i = 0; i < x.length; i++)
404                  x.put(i, (float) #{f}(x.get(i)));
405               return x;
406               EOS
407            end
408            
409            def cmapfct(f); <<-EOS
410               for (int i = 0; i < x.length; i++)
411                  x.put(i, x.get(i).#{f}());
412               return x;
413               EOS
414            end
415            #*/
416    
417            /**
418             * Sets all elements in this matrix to their absolute values. Note
419             * that this operation is in-place.
420             * @see MatrixFunctions#abs(FloatMatrix)
421             * @return this matrix
422             */
423            public static FloatMatrix absi(FloatMatrix x) { 
424                    /*# mapfct('Math.abs') #*/
425    //RJPP-BEGIN------------------------------------------------------------
426               for (int i = 0; i < x.length; i++)
427                  x.put(i, (float) Math.abs(x.get(i)));
428               return x;
429    //RJPP-END--------------------------------------------------------------
430            }
431            
432            public static ComplexFloatMatrix absi(ComplexFloatMatrix x) {
433                    /*# cmapfct('abs') #*/
434    //RJPP-BEGIN------------------------------------------------------------
435               for (int i = 0; i < x.length; i++)
436                  x.put(i, x.get(i).abs());
437               return x;
438    //RJPP-END--------------------------------------------------------------
439            }
440            
441            /**
442             * Applies the trigonometric <i>arccosine</i> function element wise on this
443             * matrix. Note that this is an in-place operation.
444             * @see MatrixFunctions#acos(FloatMatrix)
445             * @return this matrix
446             */
447            public static FloatMatrix acosi(FloatMatrix x) { 
448                    /*# mapfct('Math.acos') #*/
449    //RJPP-BEGIN------------------------------------------------------------
450               for (int i = 0; i < x.length; i++)
451                  x.put(i, (float) Math.acos(x.get(i)));
452               return x;
453    //RJPP-END--------------------------------------------------------------
454            }
455            
456            /**
457             * Applies the trigonometric <i>arcsine</i> function element wise on this
458             * matrix. Note that this is an in-place operation.
459             * @see MatrixFunctions#asin(FloatMatrix)
460             * @return this matrix
461             */     
462            public static FloatMatrix asini(FloatMatrix x) { 
463                    /*# mapfct('Math.asin') #*/
464    //RJPP-BEGIN------------------------------------------------------------
465               for (int i = 0; i < x.length; i++)
466                  x.put(i, (float) Math.asin(x.get(i)));
467               return x;
468    //RJPP-END--------------------------------------------------------------
469            }
470            
471            /**
472             * Applies the trigonometric <i>arctangend</i> function element wise on this
473             * matrix. Note that this is an in-place operation.
474             * @see MatrixFunctions#atan(FloatMatrix)
475             * @return this matrix
476             */             
477            public static FloatMatrix atani(FloatMatrix x) { 
478                    /*# mapfct('Math.atan') #*/
479    //RJPP-BEGIN------------------------------------------------------------
480               for (int i = 0; i < x.length; i++)
481                  x.put(i, (float) Math.atan(x.get(i)));
482               return x;
483    //RJPP-END--------------------------------------------------------------
484            }
485            
486            /**
487             * Applies the <i>cube root</i> function element wise on this
488             * matrix. Note that this is an in-place operation.
489             * @see MatrixFunctions#cbrt(FloatMatrix)
490             * @return this matrix
491             */             
492            public static FloatMatrix cbrti(FloatMatrix x) { 
493                    /*# mapfct('Math.cbrt') #*/
494    //RJPP-BEGIN------------------------------------------------------------
495               for (int i = 0; i < x.length; i++)
496                  x.put(i, (float) Math.cbrt(x.get(i)));
497               return x;
498    //RJPP-END--------------------------------------------------------------
499            }
500            
501            /**
502             * Element-wise round up by applying the <i>ceil</i> function on each 
503             * element. Note that this is an in-place operation.
504             * @see MatrixFunctions#ceil(FloatMatrix)
505             * @return this matrix
506             */             
507            public static FloatMatrix ceili(FloatMatrix x) { 
508                    /*# mapfct('Math.ceil') #*/
509    //RJPP-BEGIN------------------------------------------------------------
510               for (int i = 0; i < x.length; i++)
511                  x.put(i, (float) Math.ceil(x.get(i)));
512               return x;
513    //RJPP-END--------------------------------------------------------------
514            }
515            
516            /**
517             * Applies the <i>cosine</i> function element-wise on this
518             * matrix. Note that this is an in-place operation.
519             * @see MatrixFunctions#cos(FloatMatrix)
520             * @return this matrix
521             */
522            public static FloatMatrix cosi(FloatMatrix x) { 
523                    /*# mapfct('Math.cos') #*/
524    //RJPP-BEGIN------------------------------------------------------------
525               for (int i = 0; i < x.length; i++)
526                  x.put(i, (float) Math.cos(x.get(i)));
527               return x;
528    //RJPP-END--------------------------------------------------------------
529            }
530            
531            /**
532             * Applies the <i>hyperbolic cosine</i> function element-wise on this
533             * matrix. Note that this is an in-place operation.
534             * @see MatrixFunctions#cosh(FloatMatrix)
535             * @return this matrix
536             */     
537            public static FloatMatrix coshi(FloatMatrix x) { 
538                    /*# mapfct('Math.cosh') #*/
539    //RJPP-BEGIN------------------------------------------------------------
540               for (int i = 0; i < x.length; i++)
541                  x.put(i, (float) Math.cosh(x.get(i)));
542               return x;
543    //RJPP-END--------------------------------------------------------------
544            }
545            
546            /**
547             * Applies the <i>exponential</i> function element-wise on this
548             * matrix. Note that this is an in-place operation.
549             * @see MatrixFunctions#exp(FloatMatrix)
550             * @return this matrix
551             */             
552            public static FloatMatrix expi(FloatMatrix x) { 
553                    /*# mapfct('Math.exp') #*/
554    //RJPP-BEGIN------------------------------------------------------------
555               for (int i = 0; i < x.length; i++)
556                  x.put(i, (float) Math.exp(x.get(i)));
557               return x;
558    //RJPP-END--------------------------------------------------------------
559            }
560            
561            /**
562             * Element-wise round down by applying the <i>floor</i> function on each 
563             * element. Note that this is an in-place operation.
564             * @see MatrixFunctions#floor(FloatMatrix)
565             * @return this matrix
566             */             
567            public static FloatMatrix floori(FloatMatrix x) { 
568                    /*# mapfct('Math.floor') #*/
569    //RJPP-BEGIN------------------------------------------------------------
570               for (int i = 0; i < x.length; i++)
571                  x.put(i, (float) Math.floor(x.get(i)));
572               return x;
573    //RJPP-END--------------------------------------------------------------
574            }
575            
576            /**
577             * Applies the <i>natural logarithm</i> function element-wise on this
578             * matrix. Note that this is an in-place operation.
579             * @see MatrixFunctions#log(FloatMatrix)
580             * @return this matrix
581             */             
582            public static FloatMatrix logi(FloatMatrix x) {
583                    /*# mapfct('Math.log') #*/
584    //RJPP-BEGIN------------------------------------------------------------
585               for (int i = 0; i < x.length; i++)
586                  x.put(i, (float) Math.log(x.get(i)));
587               return x;
588    //RJPP-END--------------------------------------------------------------
589            }
590            
591            /**
592             * Applies the <i>logarithm with basis to 10</i> element-wise on this
593             * matrix. Note that this is an in-place operation.
594             * @see MatrixFunctions#log10(FloatMatrix)
595             * @return this matrix
596             */
597            public static FloatMatrix log10i(FloatMatrix x) {
598                    /*# mapfct('Math.log10') #*/
599    //RJPP-BEGIN------------------------------------------------------------
600               for (int i = 0; i < x.length; i++)
601                  x.put(i, (float) Math.log10(x.get(i)));
602               return x;
603    //RJPP-END--------------------------------------------------------------
604            }
605            
606            /**
607             * Element-wise power function. Replaces each element with its
608             * power of <tt>d</tt>.Note that this is an in-place operation.
609             * @param d the exponent
610             * @see MatrixFunctions#pow(FloatMatrix,float)
611             * @return this matrix
612             */     
613            public static FloatMatrix powi(FloatMatrix x, float d) {
614                    if (d == 2.0f)
615                            return x.muli(x);
616                    else {
617                            for (int i = 0; i < x.length; i++)
618                                    x.put(i, (float) Math.pow(x.get(i), d));
619                            return x;
620                    }
621            }
622    
623        public static FloatMatrix powi(float base, FloatMatrix x) {
624            for (int i = 0; i < x.length; i++)
625                x.put(i, (float) Math.pow(base, x.get(i)));
626            return x;
627        }
628    
629        public static FloatMatrix powi(FloatMatrix x, FloatMatrix e) {
630            x.checkLength(e.length);
631            for (int i = 0; i < x.length; i++)
632                x.put(i, (float) Math.pow(x.get(i), e.get(i)));
633            return x;
634        }
635    
636        public static FloatMatrix signumi(FloatMatrix x) {
637                    /*# mapfct('Math.signum') #*/
638    //RJPP-BEGIN------------------------------------------------------------
639               for (int i = 0; i < x.length; i++)
640                  x.put(i, (float) Math.signum(x.get(i)));
641               return x;
642    //RJPP-END--------------------------------------------------------------
643            }
644            
645            public static FloatMatrix sini(FloatMatrix x) { 
646                    /*# mapfct('Math.sin') #*/
647    //RJPP-BEGIN------------------------------------------------------------
648               for (int i = 0; i < x.length; i++)
649                  x.put(i, (float) Math.sin(x.get(i)));
650               return x;
651    //RJPP-END--------------------------------------------------------------
652            }
653    
654            public static FloatMatrix sinhi(FloatMatrix x) { 
655                    /*# mapfct('Math.sinh') #*/
656    //RJPP-BEGIN------------------------------------------------------------
657               for (int i = 0; i < x.length; i++)
658                  x.put(i, (float) Math.sinh(x.get(i)));
659               return x;
660    //RJPP-END--------------------------------------------------------------
661            }
662            public static FloatMatrix sqrti(FloatMatrix x) { 
663                    /*# mapfct('Math.sqrt') #*/
664    //RJPP-BEGIN------------------------------------------------------------
665               for (int i = 0; i < x.length; i++)
666                  x.put(i, (float) Math.sqrt(x.get(i)));
667               return x;
668    //RJPP-END--------------------------------------------------------------
669            }
670            public static FloatMatrix tani(FloatMatrix x) {
671                    /*# mapfct('Math.tan') #*/
672    //RJPP-BEGIN------------------------------------------------------------
673               for (int i = 0; i < x.length; i++)
674                  x.put(i, (float) Math.tan(x.get(i)));
675               return x;
676    //RJPP-END--------------------------------------------------------------
677            }
678            public static FloatMatrix tanhi(FloatMatrix x) {
679                    /*# mapfct('Math.tanh') #*/
680    //RJPP-BEGIN------------------------------------------------------------
681               for (int i = 0; i < x.length; i++)
682                  x.put(i, (float) Math.tanh(x.get(i)));
683               return x;
684    //RJPP-END--------------------------------------------------------------
685            }
686    
687            /**
688             * Returns a copy of this matrix where all elements are set to their
689             * absolute values. 
690             * @see MatrixFunctions#absi(FloatMatrix)
691             * @return copy of this matrix
692             */
693            public static FloatMatrix abs(FloatMatrix x) { return absi(x.dup()); }
694            
695            /**
696             * Returns a copy of this matrix where the trigonometric <i>acos</i> function is applied
697             * element wise.
698             * @see MatrixFunctions#acosi(FloatMatrix)
699             * @return copy of this matrix
700             */
701            public static FloatMatrix acos(FloatMatrix x)   { return acosi(x.dup()); }
702            public static FloatMatrix asin(FloatMatrix x)   { return asini(x.dup()); }
703            public static FloatMatrix atan(FloatMatrix x)   { return atani(x.dup()); }
704            public static FloatMatrix cbrt(FloatMatrix x)   { return cbrti(x.dup()); }
705        public static FloatMatrix ceil(FloatMatrix x)   { return ceili(x.dup()); }
706        public static FloatMatrix cos(FloatMatrix x)    { return cosi(x.dup()); }
707        public static FloatMatrix cosh(FloatMatrix x)   { return coshi(x.dup()); }
708        public static FloatMatrix exp(FloatMatrix x)    { return expi(x.dup()); }
709        public static FloatMatrix floor(FloatMatrix x)  { return floori(x.dup()); }
710        public static FloatMatrix log(FloatMatrix x)    { return logi(x.dup()); }
711        public static FloatMatrix log10(FloatMatrix x)  { return log10i(x.dup()); }
712        public static float pow(float x, float y) { return (float)Math.pow(x, y); }
713        public static FloatMatrix pow(FloatMatrix x, float e) { return powi(x.dup(), e); }
714        public static FloatMatrix pow(float b, FloatMatrix x) { return powi(b, x.dup()); }
715        public static FloatMatrix pow(FloatMatrix x, FloatMatrix e) { return powi(x.dup(), e); }
716        public static FloatMatrix signum(FloatMatrix x) { return signumi(x.dup()); }
717        public static FloatMatrix sin(FloatMatrix x)    { return sini(x.dup()); }
718        public static FloatMatrix sinh(FloatMatrix x)   { return sinhi(x.dup()); }
719        public static FloatMatrix sqrt(FloatMatrix x)   { return sqrti(x.dup()); }
720        public static FloatMatrix tan(FloatMatrix x)    { return tani(x.dup()); }
721        public static FloatMatrix tanh(FloatMatrix x)   { return tanhi(x.dup()); }
722    
723        /*# %w{abs acos asin atan cbrt ceil cos cosh exp floor log log10 signum sin sinh sqrt tan tanh}.map do |fct| <<-EOS
724        public static float #{fct}(float x) { return (float)Math.#{fct}(x); }
725        EOS
726            end   
727         #*/
728    //RJPP-BEGIN------------------------------------------------------------
729        public static float abs(float x) { return (float)Math.abs(x); }
730        public static float acos(float x) { return (float)Math.acos(x); }
731        public static float asin(float x) { return (float)Math.asin(x); }
732        public static float atan(float x) { return (float)Math.atan(x); }
733        public static float cbrt(float x) { return (float)Math.cbrt(x); }
734        public static float ceil(float x) { return (float)Math.ceil(x); }
735        public static float cos(float x) { return (float)Math.cos(x); }
736        public static float cosh(float x) { return (float)Math.cosh(x); }
737        public static float exp(float x) { return (float)Math.exp(x); }
738        public static float floor(float x) { return (float)Math.floor(x); }
739        public static float log(float x) { return (float)Math.log(x); }
740        public static float log10(float x) { return (float)Math.log10(x); }
741        public static float signum(float x) { return (float)Math.signum(x); }
742        public static float sin(float x) { return (float)Math.sin(x); }
743        public static float sinh(float x) { return (float)Math.sinh(x); }
744        public static float sqrt(float x) { return (float)Math.sqrt(x); }
745        public static float tan(float x) { return (float)Math.tan(x); }
746        public static float tanh(float x) { return (float)Math.tanh(x); }
747    //RJPP-END--------------------------------------------------------------
748        
749    //END
750    }