WSL/SLF GitLab Repository

Array3D.h 20.1 KB
Newer Older
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
/***********************************************************************************/
/*  Copyright 2009 WSL Institute for Snow and Avalanche Research    SLF-DAVOS      */
/***********************************************************************************/
/* This file is part of MeteoIO.
    MeteoIO is free software: you can redistribute it and/or modify
    it under the terms of the GNU Lesser General Public License as published by
    the Free Software Foundation, either version 3 of the License, or
    (at your option) any later version.

    MeteoIO 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 Lesser General Public License for more details.

    You should have received a copy of the GNU Lesser General Public License
    along with MeteoIO.  If not, see <http://www.gnu.org/licenses/>.
*/
#ifndef ARRAY3D_H
#define ARRAY3D_H

#include <meteoio/IOUtils.h>
#include <meteoio/IOExceptions.h>

#include <vector>
#include <limits>
#include <iostream>

#define NOSAFECHECKS

namespace mio {

template <class T> class Array3D;
template <class T> class Array3DProxy2;

/**
 * @class Array3DProxy
 * @brief The template class Array3DProxy is a helper class for the template class Array3D
38
 *        with the purpose of adding the [][] operator to Array3D
39
40
41
42
43
44
 *
 * @author Thomas Egger
 */
template <class T> class Array3DProxy {
 	public:
		friend class Array3D<T>;
45
46
		Array3DProxy2<T> operator[](const unsigned int& i_any) {
			return Array3DProxy2<T>(array3D, anx, i_any);
47
48
49
		}

 	private:
50
 		Array3DProxy(Array3D<T>& i_array3D, const unsigned int& i_anx) : array3D(i_array3D), anx(i_anx){}
51
52
53
54
55
56
57
58
59
60
61
62
63
64
		Array3D<T>& array3D;
		const unsigned int anx;
};

/**
 * @class Array3DProxy2
 * @brief The template class Array3DProxy2 is a helper class for the template class Array3D
 *        with the purpose of adding the [][][] operator to Array3D
 *
 * @author Thomas Egger
 */
template <class T> class Array3DProxy2 {
 	public:
		friend class Array3DProxy<T>;
65
66
		T& operator[](const unsigned int& i_anz) {
			return array3D(anx, any, i_anz);
67
68
69
		}

	private:
70
71
 		Array3DProxy2(Array3D<T>& i_array3D, const unsigned int& i_anx,
				    const unsigned int& i_any) : array3D(i_array3D), anx(i_anx), any(i_any){}
72
73
74
75
76
77
78
79
		Array3D<T>& array3D;
		const unsigned int anx;
		const unsigned int any;
}; 


/**
 * @class Array3D
80
81
82
 * @brief The template class Array3D is a 3D Array (Tensor) able to hold any type of object as datatype. 
 * It relies on the Array3DProxy2 class to provide the [][][] operator (slower than the (i,j,k) call).
 * @ingroup data_str
83
84
85
86
87
88
89
90
91
 * @date  2009-07-19
 * @author Thomas Egger
 */
template<class T> class Array3D {
	public:
		Array3D();

		/**
		* A constructor that can be used to create an Array3D object that is contained in the
92
93
94
95
96
97
98
99
100
		* one passed as i_array3D argument. The resulting Array3D object is a by value copy of
		* a subvolume of the volume spanned by the i_array3D
		* @param i_array3D array containing to extract the values from
		* @param i_nx lower left corner cell X index
		* @param i_ny lower left corner cell Y index
		* @param i_nz lower left corner cell Z index
		* @param i_ncols number of columns of the new array
		* @param i_nrows number of rows of the new array
		* @param i_ndepth number of depths of the new array
101
		*/
102
103
104
		Array3D(const Array3D<T>& i_array3D,
		        const unsigned int& i_nx, const unsigned int& i_ny, const unsigned int& i_nz,
		        const unsigned int& i_ncols, const unsigned int& i_nrows, const unsigned int& i_ndepth);
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124

		/**
		* A constructor that creates an array of a given size
		* @param anx number of columns of the new array
		* @param any number of rows of the new array
		* @param anz number of rows of the new array
		*/
		Array3D(const unsigned int& anx, const unsigned int& any, const unsigned int& anz);

		/**
		* A constructor that creates an array filled with constant values
		* @param anx number of columns of the new array
		* @param any number of rows of the new array
		* @param anz number of depths of the new array
		* @param init initial value to fill the array with
		*/
		Array3D(const unsigned int& anx, const unsigned int& any, const unsigned int& anz, const T& init);

		/**
		* A method that can be used to create an Array3D object that is contained in the
125
126
127
128
129
130
131
132
133
		* one passed as i_array3D argument. The resulting Array3D object is a by value copy of
		* a subvolume of the volume spanned by the i_array3D
		* @param i_array3D array containing to extract the values from
		* @param i_nx lower left corner cell X index
		* @param i_ny lower left corner cell Y index
		* @param i_nz lower left corner cell Z index
		* @param i_ncols number of columns of the new array
		* @param i_nrows number of rows of the new array
		* @param i_ndepth number of depths of the new array
134
		*/
135
136
137
		void subset(const Array3D<T>& i_array3D,
		            const unsigned int& i_nx, const unsigned int& i_ny, const unsigned int& i_nz,
		            const unsigned int& i_ncols, const unsigned int& i_nrows, const unsigned int& i_ndepth);
138
139
140
141

		void resize(const unsigned int& anx, const unsigned int& any, const unsigned int& anz);
		void resize(const unsigned int& anx, const unsigned int& any, const unsigned int& anz, const T& init);
		void size(unsigned int& anx, unsigned int& any, unsigned int& anz) const;
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
		void clear();

		/**
		* @brief returns the minimum value contained in the grid
		* @param flag_nodata specify how to process nodata values (see NODATA_HANLDING)
		* @return minimum value
		*/
		T getMin(const IOUtils::nodata_handling flag_nodata=IOUtils::PARSE_NODATA) const;
		/**
		* @brief returns the maximum value contained in the grid
		* @param flag_nodata specify how to process nodata values (see NODATA_HANLDING)
		* @return maximum value
		*/
		T getMax(const IOUtils::nodata_handling flag_nodata=IOUtils::PARSE_NODATA) const;
		/**
		* @brief returns the mean value contained in the grid
		* @param flag_nodata specify how to process nodata values (see NODATA_HANLDING)
		* @return mean value
		*/
		T getMean(const IOUtils::nodata_handling flag_nodata=IOUtils::PARSE_NODATA) const;
162
163
164
165
166
167
168
169
170
171
172
173
174
		/**
		* @brief returns the sum of values contained in the grid
		* @param flag_nodata specify how to process nodata values (see NODATA_HANLDING)
		* @return sum
		*/
		T getSum(const IOUtils::nodata_handling flag_nodata=IOUtils::PARSE_NODATA) const;
		/**
		* @brief returns the grid of the absolute value of values contained in the grid
		* @param flag_nodata specify how to process nodata values (see NODATA_HANLDING)
		* @return grid of abs(grid)
		*/
		const Array3D<T> getAbs(const IOUtils::nodata_handling flag_nodata=IOUtils::PARSE_NODATA) const;
		void abs(const IOUtils::nodata_handling flag_nodata=IOUtils::PARSE_NODATA);
175
176

		template<class P> friend std::ostream& operator<<(std::ostream& os, const Array3D<P>& array);
177
178
179
		
		T& operator ()(const unsigned int& i);
		const T operator ()(const unsigned int& i) const;
180
181
182
183
184
		T& operator ()(const unsigned int& x, const unsigned int& y, const unsigned int& z);
		const T operator ()(const unsigned int& x, const unsigned int& y, const unsigned int& z) const;
		Array3DProxy<T> operator[](const unsigned int& i);

		Array3D<T>& operator =(const Array3D<T>&);
185
		Array3D<T>& operator =(const T& value);
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
		
		Array3D<T>& operator+=(const T& rhs);
		const Array3D<T> operator+(const T& rhs);
		Array3D<T>& operator+=(const Array3D<T>& rhs);
		const Array3D<T> operator+(const Array3D<T>& rhs);

		Array3D<T>& operator-=(const T& rhs);
		const Array3D<T> operator-(const T& rhs);
		Array3D<T>& operator-=(const Array3D<T>& rhs);
		const Array3D<T> operator-(const Array3D<T>& rhs);

		Array3D<T>& operator*=(const T& rhs);
		const Array3D<T> operator*(const T& rhs);
		Array3D<T>& operator*=(const Array3D<T>& rhs);
		const Array3D<T> operator*(const Array3D<T>& rhs);

		Array3D<T>& operator/=(const T& rhs);
		const Array3D<T> operator/(const T& rhs);
		Array3D<T>& operator/=(const Array3D<T>& rhs);
		const Array3D<T> operator/(const Array3D<T>& rhs);

	protected:
		std::vector<T> vecData; ///< The actual objects are stored in a one-dimensional vector
		unsigned int nx;
		unsigned int ny;
		unsigned int nz;
		unsigned int nxny; //nx times ny
};

215
216
217
218
219
220
221
222
template<class T> T& Array3D<T>::operator()(const unsigned int& i) {
	return vecData[i];
}

template<class T> const T Array3D<T>::operator()(const unsigned int& i) const {
	return vecData[i];
}

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
template<class T> T& Array3D<T>::operator()(const unsigned int& x, const unsigned int& y, const unsigned int& z) {
#ifndef NOSAFECHECKS
	if ((x >= nx) || (y >= ny) || (z >= nz)) {
		throw IndexOutOfBoundsException("", AT);
	}
#endif

	//ROW-MAJOR alignment of the vector: fully C-compatible memory layout
	return vecData[x + y*nx + z*nxny];
}

template<class T> const T Array3D<T>::operator()(const unsigned int& x, const unsigned int& y, const unsigned int& z) const {
#ifndef NOSAFECHECKS
	if ((x >= nx) || (y >= ny) || (z >= nz)) {
		throw IndexOutOfBoundsException("", AT);
	}
#endif
	return vecData[x + y*nx + z*nxny];
}

template<class T> Array3DProxy<T> Array3D<T>::operator[](const unsigned int& i) {
	return Array3DProxy<T>(*this, i); 
}


template<class T> Array3D<T>::Array3D() {
	nx = ny = nz = nxny = 0;
}

252
253
254
template<class T> Array3D<T>::Array3D(const Array3D<T>& i_array3D,
                                      const unsigned int& i_nx, const unsigned int& i_ny, const unsigned int& i_nz,
                                      const unsigned int& i_ncols, const unsigned int& i_nrows, const unsigned int& i_ndepth)
255
{
256
	subset(i_array3D, i_nx, i_ny, i_nz, i_ncols, i_nrows, i_ndepth);
257
258
}

259
260
261
template<class T> void Array3D<T>::subset(const Array3D<T>& i_array3D,
                                     const unsigned int& i_nx, const unsigned int& i_ny, const unsigned int& i_nz,
                                     const unsigned int& i_ncols, const unsigned int& i_nrows, const unsigned int& i_ndepth)
262
263
{
	
264
	if (((i_nx+i_ncols) > i_array3D.nx) || ((i_ny+i_nrows) > i_array3D.ny) || ((i_nz+i_ndepth) > i_array3D.nz))
265
266
		throw IndexOutOfBoundsException("", AT);

267
	if ((i_ncols == 0) || (i_nrows == 0) || (i_ndepth == 0)) //the space has to make sense
268
269
		throw IndexOutOfBoundsException("", AT);

270
	resize(i_ncols, i_nrows, i_ndepth); //create new Array3D object
271
272
273
274
275
276

	//Copy by value subspace
	for (unsigned int ii=0; ii<nz; ii++) { 
		for (unsigned int jj=0; jj<ny; jj++) {
			for (unsigned int kk=0; kk<nx; kk++) {
				//Running through the vector in order of memory alignment
277
				operator()(kk,jj,ii) = i_array3D(i_nx+kk, i_ny+jj, i_nz+ii);
278
279
280
281
282
			}
		}
	}
}

283
284
template<class T> Array3D<T>::Array3D(const unsigned int& anx, const unsigned int& any, const unsigned int& anz) {
	resize(anx, any, anz);
285
286
}

287
288
template<class T> Array3D<T>::Array3D(const unsigned int& anx, const unsigned int& any, const unsigned int& anz, const T& init) {
	resize(anx, any, anz, init);
289
290
}

291
template<class T> void Array3D<T>::resize(const unsigned int& anx, const unsigned int& any, const unsigned int& anz) {
292
293
294
295
296
297
	clear();  //we won't be able to "rescue" old values, so we reset the whole vector
	vecData.resize(anx*any*anz);
	nx = anx;
	ny = any;
	nz = anz;
	nxny = nx*ny;
298
299
}

300
301
template<class T> void Array3D<T>::resize(const unsigned int& anx, const unsigned int& any, const unsigned int& anz, const T& init) {
	resize(anx, any, anz);
302
	std::fill(vecData.begin(), vecData.end(), init);
303
304
}

305
306
307
308
template<class T> void Array3D<T>::size(unsigned int& anx, unsigned int& any, unsigned int& anz) const {
	anx=nx;
	any=ny;
	anz=nz;
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
}

template<class T> void Array3D<T>::clear() {
	vecData.clear();
	nx = ny = nz = nxny = 0;
}

template<class T> std::ostream& operator<<(std::ostream& os, const Array3D<T>& array) {
	os << "<array3d>\n";
	for (unsigned int kk=0; kk<array.nz; kk++) {
		os << "depth[" << kk << "]\n";
		for(unsigned int ii=0; ii<array.nx; ii++) {
			for (unsigned int jj=0; jj<array.ny; jj++) {
				os << array(ii,jj,kk) << " ";
			}
			os << "\n";
		}
	}
	os << "</array3d>\n";
	return os;
}

template<class T> T Array3D<T>::getMin(const IOUtils::nodata_handling flag_nodata) const {

	T min = std::numeric_limits<T>::max();
334
335
	const unsigned int nxyz = ny*nx*nz;
	
336
	if(flag_nodata==IOUtils::RAW_NODATA) {
337
338
339
		for (unsigned int jj=0; jj<nxyz; jj++) {
			const T val = operator()(jj);
			if(val<min) min=val;
340
341
342
		}
		return min;
	} else if(flag_nodata==IOUtils::PARSE_NODATA) {
343
344
345
		for (unsigned int jj=0; jj<nxyz; jj++) {
			const T val = operator()(jj);
			if(val!=IOUtils::nodata && val<min) min=val;
346
347
348
349
350
351
352
353
354
355
356
		}
		if(min!=std::numeric_limits<T>::max()) return min;
		else return (T)IOUtils::nodata;
	} else {
		throw InvalidArgumentException("Unknown nodata_handling flag",AT);
	}
}

template<class T> T Array3D<T>::getMax(const IOUtils::nodata_handling flag_nodata) const {

	T max = -std::numeric_limits<T>::max();
357
358
	const unsigned int nxyz = ny*nx*nz;
	
359
	if(flag_nodata==IOUtils::RAW_NODATA) {
360
361
362
		for (unsigned int jj=0; jj<nxyz; jj++) {
			const T val = operator()(jj);
			if(val>max) max=val;
363
364
365
		}
		return max;
	} else if(flag_nodata==IOUtils::PARSE_NODATA) {
366
367
368
		for (unsigned int jj=0; jj<nxyz; jj++) {
			const T val = operator()(jj);
			if(val!=IOUtils::nodata && val>max) max=val;
369
370
371
372
373
374
375
376
377
378
379
		}
		if(max!=-std::numeric_limits<T>::max()) return max;
		else return (T)IOUtils::nodata;
	} else {
		throw InvalidArgumentException("Unknown nodata_handling flag",AT);
	}
}

template<class T> T Array3D<T>::getMean(const IOUtils::nodata_handling flag_nodata) const {

	T mean = 0;
380
381
	const unsigned int nxyz = nx*ny*nz;
	
382
	if(flag_nodata==IOUtils::RAW_NODATA) {
383
384
385
		for (unsigned int jj=0; jj<nxyz; jj++) {
			const T val = operator()(jj);
			mean += val;
386
		}
387
		if(nxyz>0) return mean/(T)(nxyz);
388
389
390
		else return (T)0;
	} else if(flag_nodata==IOUtils::PARSE_NODATA) {
		unsigned int count = 0;
391
392
393
394
395
		for (unsigned int jj=0; jj<nxyz; jj++) {
			const T val = operator()(jj);
			if(val!=IOUtils::nodata) {
				mean += val;
				count++;
396
397
398
399
400
401
402
403
404
			}
		}
		if(count>0) return mean/(T)(count);
		else return (T)IOUtils::nodata;
	} else {
		throw InvalidArgumentException("Unknown nodata_handling flag",AT);
	}
}

405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
template<class T> T Array3D<T>::getSum(const IOUtils::nodata_handling flag_nodata) const {

	T sum = 0;
	const unsigned int nxyz = nx*ny*nz;

	if(flag_nodata==IOUtils::RAW_NODATA) {
		for (unsigned int ii=0; ii<nxyz; ii++) {
			sum += vecData[ii];
		}
		return sum;
	} else if(flag_nodata==IOUtils::PARSE_NODATA) {
		bool empty=true;
		for (unsigned int ii=0; ii<nxyz; ii++) {
			const T val = vecData[ii];
			if(val!=IOUtils::nodata) {
				sum += val;
				empty=false;
			}
		}
		if(!empty) return sum;
		else return (T)IOUtils::nodata;
	} else {
		throw InvalidArgumentException("Unknown nodata_handling flag",AT);
	}
}

template<class T> void Array3D<T>::abs(const IOUtils::nodata_handling flag_nodata) {
	if(std::numeric_limits<T>::is_signed) {
		const unsigned int nxyz = nx*ny*nz;
		if(flag_nodata==IOUtils::RAW_NODATA) {
			for (unsigned int ii=0; ii<nxyz; ii++) {
				T& val = operator()(ii);
				if(val<0) val=-val;
			}
		} else if(flag_nodata==IOUtils::PARSE_NODATA) {
			for (unsigned int ii=0; ii<nxyz; ii++) {
				T& val = operator()(ii);
				if(val<0 && val!=IOUtils::nodata) val=-val;
			}
		} else {
			throw InvalidArgumentException("Unknown nodata_handling flag",AT);
		}
	}
}


template<class T> const Array3D<T> Array3D<T>::getAbs(const IOUtils::nodata_handling flag_nodata) const {
	Array3D<T> result = *this; //make a copy
	result.abs(flag_nodata); //already implemented

	return result;
}

458
459
460
461
462
463
464
465
466
467
468
469
//arithmetic operators
template<class T> Array3D<T>& Array3D<T>::operator=(const Array3D<T>& source) {
	if(this != &source) {
		nx = source.nx;
		ny = source.ny;
		nz = source.nz;
		nxny = source.nxny;
		vecData = source.vecData;
	}
	return *this;
}

470
471
472
473
474
template<class T> Array3D<T>& Array3D<T>::operator=(const T& value) {
	std::fill(vecData.begin(), vecData.end(), value);
	return *this;
}

475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
template<class T> Array3D<T>& Array3D<T>::operator+=(const Array3D<T>& rhs)
{
	//They have to have equal size
	if ((rhs.nx != nx) || (rhs.ny != ny) || (rhs.nz != nz))
		throw IOException("Trying to add two Array3D objects with different dimensions", AT);

	//Add to every single member of the Array3D<T>
	for (unsigned int ii=0; ii<nx; ii++) {
		for (unsigned int jj=0; jj<ny; jj++) {
			for(unsigned int kk=0; kk<nz; kk++) {
				operator()(ii,jj,kk) += rhs(ii,jj,kk);
			}
		}
	}

	return *this;
}

template<class T> const Array3D<T> Array3D<T>::operator+(const Array3D<T>& rhs)
{
	Array3D<T> result = *this; //make a copy
	result += rhs; //already implemented

	return result;
}

template<class T> Array3D<T>& Array3D<T>::operator+=(const T& rhs)
{
	//Add to every single member of the Array3D<T>
	for (unsigned int ii=0; ii<nx; ii++) {
		for (unsigned int jj=0; jj<ny; jj++) {
			for(unsigned int kk=0; kk<nz; kk++) {
				operator()(ii,jj,kk) += rhs;
			}
		}
	}

	return *this;
}

template<class T> const Array3D<T> Array3D<T>::operator+(const T& rhs)
{
	Array3D<T> result = *this;
	result += rhs; //already implemented

	return result;
}

template<class T> Array3D<T>& Array3D<T>::operator-=(const Array3D<T>& rhs)
{
	//They have to have equal size
	if ((rhs.nx != nx) || (rhs.ny != ny) || (rhs.nz != nz))
		throw IOException("Trying to substract two Array3D objects with different dimensions", AT);

	//Substract to every single member of the Array3D<T>
	for (unsigned int ii=0; ii<nx; ii++) {
		for (unsigned int jj=0; jj<ny; jj++) {
			for(unsigned int kk=0; kk<nz; kk++) {
				operator()(ii,jj,kk) -= rhs(ii,jj,kk);
			}
		}
	}

	return *this;
}

template<class T> const Array3D<T> Array3D<T>::operator-(const Array3D<T>& rhs)
{
	Array3D<T> result = *this; //make a copy
	result -= rhs; //already implemented

	return result;
}

template<class T> Array3D<T>& Array3D<T>::operator-=(const T& rhs)
{
	//Substract to every single member of the Array3D<T>
	for (unsigned int ii=0; ii<nx; ii++) {
		for (unsigned int jj=0; jj<ny; jj++) {
			for(unsigned int kk=0; kk<nz; kk++) {
				operator()(ii,jj,kk) -= rhs;
			}
		}
	}

	return *this;
}

template<class T> const Array3D<T> Array3D<T>::operator-(const T& rhs)
{
	Array3D<T> result = *this;
	result -= rhs; //already implemented

	return result;
}

template<class T> Array3D<T>& Array3D<T>::operator*=(const Array3D<T>& rhs)
{
	//They have to have equal size
	if ((rhs.nx != nx) || (rhs.ny != ny) || (rhs.nz != nz))
		throw IOException("Trying to multiply two Array3D objects with different dimensions", AT);

	//Multiply every single member of the Array3D<T>
	for (unsigned int ii=0; ii<nx; ii++) {
		for (unsigned int jj=0; jj<ny; jj++) {
			for(unsigned int kk=0; kk<nz; kk++) {
				operator()(ii,jj,kk) *= rhs(ii,jj,kk);
			}
		}
	}

	return *this;
}

template<class T> const Array3D<T> Array3D<T>::operator*(const Array3D<T>& rhs)
{
	Array3D<T> result = *this; //make a copy
	result *= rhs; //already implemented

	return result;
}

template<class T> Array3D<T>& Array3D<T>::operator*=(const T& rhs)
{
	//Multiply every single member of the Array3D<T>
	for (unsigned int ii=0; ii<nx; ii++) {
		for (unsigned int jj=0; jj<ny; jj++) {
			for(unsigned int kk=0; kk<nz; kk++) {
				operator()(ii,jj,kk) *= rhs;
			}
		}
	}

	return *this;
}

template<class T> const Array3D<T> Array3D<T>::operator*(const T& rhs)
{
	Array3D<T> result = *this;
	result *= rhs; //already implemented

	return result;
}

template<class T> Array3D<T>& Array3D<T>::operator/=(const Array3D<T>& rhs)
{
	//They have to have equal size
	if ((rhs.nx != nx) || (rhs.ny != ny) || (rhs.nz != nz))
		throw IOException("Trying to divide two Array3D objects with different dimensions", AT);

	//Divide every single member of the Array3D<T>
	for (unsigned int ii=0; ii<nx; ii++) {
		for (unsigned int jj=0; jj<ny; jj++) {
			for(unsigned int kk=0; kk<nz; kk++) {
				operator()(ii,jj,kk) /= rhs(ii,jj,kk);
			}
		}
	}

	return *this;
}

template<class T> const Array3D<T> Array3D<T>::operator/(const Array3D<T>& rhs)
{
	Array3D<T> result = *this; //make a copy
	result /= rhs; //already implemented

	return result;
}

template<class T> Array3D<T>& Array3D<T>::operator/=(const T& rhs)
{
	//Divide every single member of the Array3D<T>
	for (unsigned int ii=0; ii<nx; ii++) {
		for (unsigned int jj=0; jj<ny; jj++) {
			for(unsigned int kk=0; kk<nz; kk++) {
				operator()(ii,jj,kk) /= rhs;
			}
		}
	}

	return *this;
}

template<class T> const Array3D<T> Array3D<T>::operator/(const T& rhs)
{
	Array3D<T> result = *this;
	result /= rhs; //already implemented

	return result;
}

} //end namespace mio

#endif