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source: branches/HeuristicLab.Problems.GaussianProcessTuning/ILNumerics.2.14.4735.573/Storage/ILDenseStorage.cs @ 10903

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Last change on this file since 10903 was 9102, checked in by gkronber, 12 years ago
#1967: ILNumerics source for experimentation
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1	///
2	/// This file is part of ILNumerics Community Edition.
3	///
4	/// ILNumerics Community Edition - high performance computing for applications.
5	/// Copyright (C) 2006 - 2012 Haymo Kutschbach, http://ilnumerics.net
6	///
7	/// ILNumerics Community Edition is free software: you can redistribute it and/or modify
8	/// it under the terms of the GNU General Public License version 3 as published by
9	/// the Free Software Foundation.
10	///
11	/// ILNumerics Community Edition is distributed in the hope that it will be useful,
12	/// but WITHOUT ANY WARRANTY; without even the implied warranty of
13	/// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
14	/// GNU General Public License for more details.
15	///
16	/// You should have received a copy of the GNU General Public License
17	/// along with ILNumerics Community Edition. See the file License.txt in the root
18	/// of your distribution package. If not, see <http://www.gnu.org/licenses/>.
19	///
20	/// In addition this software uses the following components and/or licenses:
21	///
22	/// =================================================================================
23	/// The Open Toolkit Library License
24	///
25	/// Copyright (c) 2006 - 2009 the Open Toolkit library.
26	///
27	/// Permission is hereby granted, free of charge, to any person obtaining a copy
28	/// of this software and associated documentation files (the "Software"), to deal
29	/// in the Software without restriction, including without limitation the rights to
30	/// use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of
31	/// the Software, and to permit persons to whom the Software is furnished to do
32	/// so, subject to the following conditions:
33	///
34	/// The above copyright notice and this permission notice shall be included in all
35	/// copies or substantial portions of the Software.
36	///
37	/// =================================================================================
38	///
39
40	using System;
41	using System.Collections.Generic;
42	using System.Text;
43	using System.IO;
44	using System.Runtime.Serialization;
45	using System.Runtime.CompilerServices;
46	using System.Numerics;
47	using ILNumerics.Misc;
48	using ILNumerics.Data;
49	using ILNumerics.Exceptions;
50	using System.Linq.Expressions;
51
52	namespace ILNumerics.Storage {
53
54	/// <summary>
55	/// The class realizes an internal storage wrapper. It stores the internal data array
56	/// and the dimension specifications for both: ILRetArray and ILDenseStorage (reference and solid).
57	/// </summary>
58	[System.Diagnostics.DebuggerTypeProxy(typeof(ILNumerics.Misc.ILArrayDebuggerProxy<>))]
59	[System.Diagnostics.DebuggerDisplay("{ShortInfo(),nq}")]
60	[Serializable]
61	internal partial class ILDenseStorage<ElementType> : ILStorage<ElementType> {
62
63	#region attributes
64	/// <summary>
65	/// Internal storage object. Contains the final System.Array storage and a reference counter.
66	/// </summary>
67	[System.Diagnostics.DebuggerBrowsable(System.Diagnostics.DebuggerBrowsableState.Never)]
68	protected ILCountableArray<ElementType> m_data;
69	#endregion
70
71	#region properties
72
73	/// <summary>
74	/// number of storages referencing the current data array
75	/// </summary>
76	internal int ReferenceCount {
77	get {
78	return m_data.ReferenceCount;
79	}
80	}
81
82	/// <summary>
83	/// Determine, if this storage has already been disposed.
84	/// </summary>
85	internal override bool IsDisposed {
86	get {
87	return m_data == null;
88	}
89	}
90	protected ILCountableArray<ElementType> Data {
91	get {
92	return m_data;
93	}
94	set {
95	ILCountableArray<ElementType> old = m_data;
96	m_data = value;
97	m_data.IncreaseReference();
98	if (old != null)
99	old.DecreaseReference();
100	}
101	}
102	/// <summary>
103	/// Get minimum and maximum value of all elements - if these exist.
104	/// </summary>
105	/// <param name="minValue">Output: minimum value.</param>
106	/// <param name="maxValue">Output: maximum value.</param>
107	/// <returns>True if the limits exists and could be computed, false otherwise.</returns>
108	/// <remarks>Empty arrays will return false. The output parameter will be default(type).</remarks>
109	internal override bool GetLimits(out ElementType minValue, out ElementType maxValue) {
110	return GetLimits(out minValue, out maxValue, true);
111	}
112	/// <summary>
113	/// Get minimum and maximum value of all elements - if existing
114	/// </summary>
115	/// <param name="minValue">Output: minimum value.</param>
116	/// <param name="maxValue">Output: maximum value.</param>
117	/// <param name="includeInfNaNs">true: recognize Inf, NaN values; false: ignore those values</param>
118	/// <returns>True if the limits exists and could be computed, false otherwise.</returns>
119	/// <remarks>Empty arrays will return false. The output parameter will be default(ElementType) then.</remarks>
120	internal override bool GetLimits(out ElementType minValue, out ElementType maxValue, bool includeInfNaNs) {
121	minValue = default(ElementType);
122	maxValue = default(ElementType);
123	if (m_size.NumberOfElements == 0)
124	return false;
125	if (false) {
126
127
128	} else if (this is ILDenseStorage<double> ) {
129	double [] data = ( double [])(object) GetArrayForRead();
130	double curVal;
131	double curMin = Double.PositiveInfinity ;
132	double curMax = Double.NegativeInfinity ;
133	int curMinInd = 0;
134	int curMaxInd = 0;
135	int len = m_size.NumberOfElements;
136
137	for (int i = 0; i < len; i++) {
138	curVal = data[i];
139
140	if (double.IsInfinity(curVal)) continue;
141	if (curVal < curMin) {
142	curMin = curVal;
143	curMinInd = i;
144	}
145	if (curVal > curMax) {
146	curMax = curVal;
147	curMaxInd = i;
148	}
149	}
150	maxValue = m_data.Data[curMaxInd];
151	minValue = m_data.Data[curMinInd];
152	return (curMax > Double.NegativeInfinity \|\| curMin < Double.PositiveInfinity );
153
154	#region HYCALPER AUTO GENERATED CODE
155
156
157	} else if (this is ILDenseStorage<fcomplex> ) {
158	fcomplex [] data = ( fcomplex [])(object) GetArrayForRead();
159	fcomplex curVal;
160	fcomplex curMin = new fcomplex(float.PositiveInfinity,float.PositiveInfinity) ;
161	fcomplex curMax = new fcomplex(float.NegativeInfinity,float.NegativeInfinity) ;
162	int curMinInd = 0;
163	int curMaxInd = 0;
164	int len = m_size.NumberOfElements;
165
166	for (int i = 0; i < len; i++) {
167	curVal = data[i];
168	if (fcomplex.IsInfinity(curVal)) continue;
169	if (curVal < curMin) {
170	curMin = curVal;
171	curMinInd = i;
172	}
173	if (curVal > curMax) {
174	curMax = curVal;
175	curMaxInd = i;
176	}
177	}
178	maxValue = m_data.Data[curMaxInd];
179	minValue = m_data.Data[curMinInd];
180	return (curMax > new fcomplex(float.NegativeInfinity,float.NegativeInfinity) \|\| curMin < new fcomplex(float.NegativeInfinity,float.NegativeInfinity) );
181
182	} else if (this is ILDenseStorage<complex> ) {
183	complex [] data = ( complex [])(object) GetArrayForRead();
184	complex curVal;
185	complex curMin = new complex(Double.PositiveInfinity,Double.PositiveInfinity) ;
186	complex curMax = new complex(Double.NegativeInfinity,Double.NegativeInfinity) ;
187	int curMinInd = 0;
188	int curMaxInd = 0;
189	int len = m_size.NumberOfElements;
190
191	for (int i = 0; i < len; i++) {
192	curVal = data[i];
193	if (complex.IsInfinity(curVal)) continue;
194	if (curVal < curMin) {
195	curMin = curVal;
196	curMinInd = i;
197	}
198	if (curVal > curMax) {
199	curMax = curVal;
200	curMaxInd = i;
201	}
202	}
203	maxValue = m_data.Data[curMaxInd];
204	minValue = m_data.Data[curMinInd];
205	return (curMax > new complex(Double.NegativeInfinity,Double.NegativeInfinity) \|\| curMin < new complex(Double.NegativeInfinity,Double.NegativeInfinity) );
206
207	} else if (this is ILDenseStorage<byte> ) {
208	byte [] data = ( byte [])(object) GetArrayForRead();
209	byte curVal;
210	byte curMin = Byte.MaxValue ;
211	byte curMax = Byte.MinValue ;
212	int curMinInd = 0;
213	int curMaxInd = 0;
214	int len = m_size.NumberOfElements;
215
216	for (int i = 0; i < len; i++) {
217	curVal = data[i];
218
219	if (curVal < curMin) {
220	curMin = curVal;
221	curMinInd = i;
222	}
223	if (curVal > curMax) {
224	curMax = curVal;
225	curMaxInd = i;
226	}
227	}
228	maxValue = m_data.Data[curMaxInd];
229	minValue = m_data.Data[curMinInd];
230	return (curMax > Byte.MinValue \|\| curMin < Byte.MinValue );
231
232	} else if (this is ILDenseStorage<Int64> ) {
233	Int64 [] data = ( Int64 [])(object) GetArrayForRead();
234	Int64 curVal;
235	Int64 curMin = Int64.MaxValue ;
236	Int64 curMax = Int64.MinValue ;
237	int curMinInd = 0;
238	int curMaxInd = 0;
239	int len = m_size.NumberOfElements;
240
241	for (int i = 0; i < len; i++) {
242	curVal = data[i];
243
244	if (curVal < curMin) {
245	curMin = curVal;
246	curMinInd = i;
247	}
248	if (curVal > curMax) {
249	curMax = curVal;
250	curMaxInd = i;
251	}
252	}
253	maxValue = m_data.Data[curMaxInd];
254	minValue = m_data.Data[curMinInd];
255	return (curMax > Int64.MinValue \|\| curMin < Int64.MinValue );
256
257	} else if (this is ILDenseStorage<Int32> ) {
258	Int32 [] data = ( Int32 [])(object) GetArrayForRead();
259	Int32 curVal;
260	Int32 curMin = Int32.MaxValue ;
261	Int32 curMax = Int32.MinValue ;
262	int curMinInd = 0;
263	int curMaxInd = 0;
264	int len = m_size.NumberOfElements;
265
266	for (int i = 0; i < len; i++) {
267	curVal = data[i];
268
269	if (curVal < curMin) {
270	curMin = curVal;
271	curMinInd = i;
272	}
273	if (curVal > curMax) {
274	curMax = curVal;
275	curMaxInd = i;
276	}
277	}
278	maxValue = m_data.Data[curMaxInd];
279	minValue = m_data.Data[curMinInd];
280	return (curMax > Int32.MinValue \|\| curMin < Int32.MinValue );
281
282	} else if (this is ILDenseStorage<float> ) {
283	float [] data = ( float [])(object) GetArrayForRead();
284	float curVal;
285	float curMin = float.PositiveInfinity ;
286	float curMax = float.NegativeInfinity ;
287	int curMinInd = 0;
288	int curMaxInd = 0;
289	int len = m_size.NumberOfElements;
290
291	for (int i = 0; i < len; i++) {
292	curVal = data[i];
293	if(float.IsInfinity(curVal)) continue;
294	if (curVal < curMin) {
295	curMin = curVal;
296	curMinInd = i;
297	}
298	if (curVal > curMax) {
299	curMax = curVal;
300	curMaxInd = i;
301	}
302	}
303	maxValue = m_data.Data[curMaxInd];
304	minValue = m_data.Data[curMinInd];
305	return (curMax > float.NegativeInfinity \|\| curMin < float.NegativeInfinity );
306
307	#endregion HYCALPER AUTO GENERATED CODE
308	} else if ((typeof(ElementType) is IComparable<ElementType>)) {
309	ElementType[] tmpArr = GetArrayForRead();
310	for (int i = 0; i < m_size.NumberOfElements; i++) {
311	ElementType val = tmpArr[i];
312	if (((IComparable<ElementType>)val).CompareTo(minValue) < 0)
313	minValue = val;
314	if (((IComparable<ElementType>)val).CompareTo(minValue) > 0)
315	maxValue = val;
316	}
317	return true;
318	}
319	return false;
320	}
321	#endregion
322
323	#region overriding object.ToString(), Equals()
324	/// <summary>
325	/// Write information about the ILDenseStorage to string.
326	/// </summary>
327	/// <returns>String containing general information about the current instance of
328	/// ILDenseStorage and the formatted elements' values.</returns>
329	/// <remarks>If the number of elements exceeds a certain amount, the display will be abreviated.</remarks>
330	public override string ToString() {
331	return ValuesToString(0).ToString();
332	}
333	/// <summary>
334	/// print formated values to string
335	/// </summary>
336	/// <param name="maxLength">Maximum number of characters per line. 0: no limit</param>
337	/// <returns>StringBuilder object filled with formated values.</returns>
338	internal override StringBuilder ValuesToString(int maxLength) {
339	StringBuilder s = new StringBuilder();
340	if (maxLength <= 0) maxLength = int.MaxValue;
341	//if (m_dimensions.NumberOfElements > 100000) {
342	// s.Append(String.Format("({0})", m_dimensions.ToString()));
343	// return s;
344	//}
345	if (m_size.NumberOfElements < 1)
346	return new StringBuilder("(Empty)");
347	int[] acc = new int[m_size.NumberOfDimensions];
348	int d;
349	String sElement;
350	int elemLength = 10;
351	//string format = "{0,20: E13;-E13; 0.0 } ";
352	int curLineLength = 0, curRowsCount = 0;
353	int maxRows = (maxLength == int.MaxValue) ? int.MaxValue : 500; // limit data rows in debugger view
354	if (false) {
355
356
357	} else if (this.Data.Data.GetType() == typeof( double [] )) {
358	#region
359	double element;
360	double [] elements = (this.Data.Data as double []);
361	elemLength = 10 ;
362
363	double scaling = getScalingForPrint();
364	elemLength++;
365	while (acc[m_size.NumberOfDimensions - 1] <
366	m_size[m_size.NumberOfDimensions - 1]) {
367	// show only two first dimensions at the same time ...
368	// print header
369	if (m_size.NumberOfDimensions > 2 \|\| scaling != 1) {
370	if (s.Length > 0) s.Append(Environment.NewLine);
371	s.Append("(:,:");
372	for (d = 2; d < m_size.NumberOfDimensions; d++)
373	s.Append(String.Format(",{0}", acc[d]));
374	s.Append(") " + ((scaling!=1.0)? (scaling.ToString("e0") + " * "):""));
375	}
376	// show this for 2 leading dimensions
377	for (int d0 = 0; d0 < m_size[0]; d0++) {
378	if (++curRowsCount > maxRows) {
379	s.Append(Environment.NewLine + "( ... more rows exist)");
380	return s;
381	}
382	if (s.Length > 0) s.Append(Environment.NewLine);
383	acc[0] = d0; curLineLength = 0;
384	for (int d1 = 0; d1 < m_size[1]; d1++) {
385	acc[1] = d1;
386	element = elements [m_size.IndexFromArray(acc)];
387	if (!Object.ReferenceEquals(element,null)) {
388
389	sElement = String.Format ((scaling == 1 && (int)element == element) ? "{0} " : "{0:f5} ", element / scaling).PadLeft(elemLength);
390	} else {
391	sElement = "(null)".PadLeft(elemLength);
392	}
393	curLineLength += sElement.Length;
394	if (curLineLength > maxLength - " ...".Length) {
395	s.Append(" ...");
396	break;
397	} else {
398	s.Append(sElement);
399	}
400	}
401	}
402	// increase higher dimension
403	d = 2;
404	while (d <= m_size.NumberOfDimensions - 1) {
405	acc[d]++;
406	if (acc[d] < m_size[d]) break;
407	acc[d] = 0;
408	d++;
409	}
410	if (d >= m_size.NumberOfDimensions) break;
411	}
412	#endregion
413
414	#region HYCALPER AUTO GENERATED CODE
415
416
417	} else if (this.Data.Data.GetType() == typeof( float [] )) {
418	#region
419	float element;
420	float [] elements = (this.Data.Data as float []);
421	elemLength = 5 ;
422	float scaling = (float)getScalingForPrint();
423	elemLength++;
424	while (acc[m_size.NumberOfDimensions - 1] <
425	m_size[m_size.NumberOfDimensions - 1]) {
426	// show only two first dimensions at the same time ...
427	// print header
428	if (m_size.NumberOfDimensions > 2 \|\| scaling != 1) {
429	if (s.Length > 0) s.Append(Environment.NewLine);
430	s.Append("(:,:");
431	for (d = 2; d < m_size.NumberOfDimensions; d++)
432	s.Append(String.Format(",{0}", acc[d]));
433	s.Append(") " + ((scaling!=1.0)? (scaling.ToString("e0") + " * "):""));
434	}
435	// show this for 2 leading dimensions
436	for (int d0 = 0; d0 < m_size[0]; d0++) {
437	if (++curRowsCount > maxRows) {
438	s.Append(Environment.NewLine + "( ... more rows exist)");
439	return s;
440	}
441	if (s.Length > 0) s.Append(Environment.NewLine);
442	acc[0] = d0; curLineLength = 0;
443	for (int d1 = 0; d1 < m_size[1]; d1++) {
444	acc[1] = d1;
445	element = elements [m_size.IndexFromArray(acc)];
446	if (!Object.ReferenceEquals(element,null)) {
447	sElement = String.Format ("{0:f5} ", element / scaling).PadLeft(elemLength);
448	} else {
449	sElement = "(null)".PadLeft(elemLength);
450	}
451	curLineLength += sElement.Length;
452	if (curLineLength > maxLength - " ...".Length) {
453	s.Append(" ...");
454	break;
455	} else {
456	s.Append(sElement);
457	}
458	}
459	}
460	// increase higher dimension
461	d = 2;
462	while (d <= m_size.NumberOfDimensions - 1) {
463	acc[d]++;
464	if (acc[d] < m_size[d]) break;
465	acc[d] = 0;
466	d++;
467	}
468	if (d >= m_size.NumberOfDimensions) break;
469	}
470	#endregion
471
472	} else if (this.Data.Data.GetType() == typeof( fcomplex [] )) {
473	#region
474	fcomplex element;
475	fcomplex [] elements = (this.Data.Data as fcomplex []);
476	elemLength = 24 ;
477	float scaling = (float)getScalingForPrint();
478	elemLength++;
479	while (acc[m_size.NumberOfDimensions - 1] <
480	m_size[m_size.NumberOfDimensions - 1]) {
481	// show only two first dimensions at the same time ...
482	// print header
483	if (m_size.NumberOfDimensions > 2 \|\| scaling != 1) {
484	if (s.Length > 0) s.Append(Environment.NewLine);
485	s.Append("(:,:");
486	for (d = 2; d < m_size.NumberOfDimensions; d++)
487	s.Append(String.Format(",{0}", acc[d]));
488	s.Append(") " + ((scaling!=1.0)? (scaling.ToString("e0") + " * "):""));
489	}
490	// show this for 2 leading dimensions
491	for (int d0 = 0; d0 < m_size[0]; d0++) {
492	if (++curRowsCount > maxRows) {
493	s.Append(Environment.NewLine + "( ... more rows exist)");
494	return s;
495	}
496	if (s.Length > 0) s.Append(Environment.NewLine);
497	acc[0] = d0; curLineLength = 0;
498	for (int d1 = 0; d1 < m_size[1]; d1++) {
499	acc[1] = d1;
500	element = elements [m_size.IndexFromArray(acc)];
501	if (!Object.ReferenceEquals(element,null)) {
502	sElement = String.Format ("{0} ", (element / scaling).ToString(5)).PadLeft(elemLength);
503	} else {
504	sElement = "(null)".PadLeft(elemLength);
505	}
506	curLineLength += sElement.Length;
507	if (curLineLength > maxLength - " ...".Length) {
508	s.Append(" ...");
509	break;
510	} else {
511	s.Append(sElement);
512	}
513	}
514	}
515	// increase higher dimension
516	d = 2;
517	while (d <= m_size.NumberOfDimensions - 1) {
518	acc[d]++;
519	if (acc[d] < m_size[d]) break;
520	acc[d] = 0;
521	d++;
522	}
523	if (d >= m_size.NumberOfDimensions) break;
524	}
525	#endregion
526
527	} else if (this.Data.Data.GetType() == typeof( complex [] )) {
528	#region
529	complex element;
530	complex [] elements = (this.Data.Data as complex []);
531	elemLength = 36 ;
532	double scaling = getScalingForPrint();
533	elemLength++;
534	while (acc[m_size.NumberOfDimensions - 1] <
535	m_size[m_size.NumberOfDimensions - 1]) {
536	// show only two first dimensions at the same time ...
537	// print header
538	if (m_size.NumberOfDimensions > 2 \|\| scaling != 1) {
539	if (s.Length > 0) s.Append(Environment.NewLine);
540	s.Append("(:,:");
541	for (d = 2; d < m_size.NumberOfDimensions; d++)
542	s.Append(String.Format(",{0}", acc[d]));
543	s.Append(") " + ((scaling!=1.0)? (scaling.ToString("e0") + " * "):""));
544	}
545	// show this for 2 leading dimensions
546	for (int d0 = 0; d0 < m_size[0]; d0++) {
547	if (++curRowsCount > maxRows) {
548	s.Append(Environment.NewLine + "( ... more rows exist)");
549	return s;
550	}
551	if (s.Length > 0) s.Append(Environment.NewLine);
552	acc[0] = d0; curLineLength = 0;
553	for (int d1 = 0; d1 < m_size[1]; d1++) {
554	acc[1] = d1;
555	element = elements [m_size.IndexFromArray(acc)];
556	if (!Object.ReferenceEquals(element,null)) {
557	sElement = String.Format ("{0} ", (element / scaling).ToString(5)).PadLeft(elemLength);
558	} else {
559	sElement = "(null)".PadLeft(elemLength);
560	}
561	curLineLength += sElement.Length;
562	if (curLineLength > maxLength - " ...".Length) {
563	s.Append(" ...");
564	break;
565	} else {
566	s.Append(sElement);
567	}
568	}
569	}
570	// increase higher dimension
571	d = 2;
572	while (d <= m_size.NumberOfDimensions - 1) {
573	acc[d]++;
574	if (acc[d] < m_size[d]) break;
575	acc[d] = 0;
576	d++;
577	}
578	if (d >= m_size.NumberOfDimensions) break;
579	}
580	#endregion
581
582	} else if (this.Data.Data.GetType() == typeof( Complex [] )) {
583	#region
584	Complex element;
585	Complex [] elements = (this.Data.Data as Complex []);
586	elemLength = 36 ;
587	double scaling = getScalingForPrint();
588	elemLength++;
589	while (acc[m_size.NumberOfDimensions - 1] <
590	m_size[m_size.NumberOfDimensions - 1]) {
591	// show only two first dimensions at the same time ...
592	// print header
593	if (m_size.NumberOfDimensions > 2 \|\| scaling != 1) {
594	if (s.Length > 0) s.Append(Environment.NewLine);
595	s.Append("(:,:");
596	for (d = 2; d < m_size.NumberOfDimensions; d++)
597	s.Append(String.Format(",{0}", acc[d]));
598	s.Append(") " + ((scaling!=1.0)? (scaling.ToString("e0") + " * "):""));
599	}
600	// show this for 2 leading dimensions
601	for (int d0 = 0; d0 < m_size[0]; d0++) {
602	if (++curRowsCount > maxRows) {
603	s.Append(Environment.NewLine + "( ... more rows exist)");
604	return s;
605	}
606	if (s.Length > 0) s.Append(Environment.NewLine);
607	acc[0] = d0; curLineLength = 0;
608	for (int d1 = 0; d1 < m_size[1]; d1++) {
609	acc[1] = d1;
610	element = elements [m_size.IndexFromArray(acc)];
611	if (!Object.ReferenceEquals(element,null)) {
612	sElement = String.Format ("{0} ", ComplexHelper(element / scaling,5)).PadLeft(elemLength);
613	} else {
614	sElement = "(null)".PadLeft(elemLength);
615	}
616	curLineLength += sElement.Length;
617	if (curLineLength > maxLength - " ...".Length) {
618	s.Append(" ...");
619	break;
620	} else {
621	s.Append(sElement);
622	}
623	}
624	}
625	// increase higher dimension
626	d = 2;
627	while (d <= m_size.NumberOfDimensions - 1) {
628	acc[d]++;
629	if (acc[d] < m_size[d]) break;
630	acc[d] = 0;
631	d++;
632	}
633	if (d >= m_size.NumberOfDimensions) break;
634	}
635	#endregion
636
637	} else if (this.Data.Data.GetType() == typeof( byte [] )) {
638	#region
639	byte element;
640	byte [] elements = (this.Data.Data as byte []);
641	elemLength = 3 ;
642	double scaling = 1.0;
643	elemLength++;
644	while (acc[m_size.NumberOfDimensions - 1] <
645	m_size[m_size.NumberOfDimensions - 1]) {
646	// show only two first dimensions at the same time ...
647	// print header
648	if (m_size.NumberOfDimensions > 2 \|\| scaling != 1) {
649	if (s.Length > 0) s.Append(Environment.NewLine);
650	s.Append("(:,:");
651	for (d = 2; d < m_size.NumberOfDimensions; d++)
652	s.Append(String.Format(",{0}", acc[d]));
653	s.Append(") " + ((scaling!=1.0)? (scaling.ToString("e0") + " * "):""));
654	}
655	// show this for 2 leading dimensions
656	for (int d0 = 0; d0 < m_size[0]; d0++) {
657	if (++curRowsCount > maxRows) {
658	s.Append(Environment.NewLine + "( ... more rows exist)");
659	return s;
660	}
661	if (s.Length > 0) s.Append(Environment.NewLine);
662	acc[0] = d0; curLineLength = 0;
663	for (int d1 = 0; d1 < m_size[1]; d1++) {
664	acc[1] = d1;
665	element = elements [m_size.IndexFromArray(acc)];
666	if (!Object.ReferenceEquals(element,null)) {
667	sElement = String.Format ("{0,3:G} ", element).PadLeft(elemLength);
668	} else {
669	sElement = "(null)".PadLeft(elemLength);
670	}
671	curLineLength += sElement.Length;
672	if (curLineLength > maxLength - " ...".Length) {
673	s.Append(" ...");
674	break;
675	} else {
676	s.Append(sElement);
677	}
678	}
679	}
680	// increase higher dimension
681	d = 2;
682	while (d <= m_size.NumberOfDimensions - 1) {
683	acc[d]++;
684	if (acc[d] < m_size[d]) break;
685	acc[d] = 0;
686	d++;
687	}
688	if (d >= m_size.NumberOfDimensions) break;
689	}
690	#endregion
691
692	} else if (this.Data.Data.GetType() == typeof( char [] )) {
693	#region
694	char element;
695	char [] elements = (this.Data.Data as char []);
696	elemLength = 3 ;
697	double scaling = 1.0;
698	elemLength++;
699	while (acc[m_size.NumberOfDimensions - 1] <
700	m_size[m_size.NumberOfDimensions - 1]) {
701	// show only two first dimensions at the same time ...
702	// print header
703	if (m_size.NumberOfDimensions > 2 \|\| scaling != 1) {
704	if (s.Length > 0) s.Append(Environment.NewLine);
705	s.Append("(:,:");
706	for (d = 2; d < m_size.NumberOfDimensions; d++)
707	s.Append(String.Format(",{0}", acc[d]));
708	s.Append(") " + ((scaling!=1.0)? (scaling.ToString("e0") + " * "):""));
709	}
710	// show this for 2 leading dimensions
711	for (int d0 = 0; d0 < m_size[0]; d0++) {
712	if (++curRowsCount > maxRows) {
713	s.Append(Environment.NewLine + "( ... more rows exist)");
714	return s;
715	}
716	if (s.Length > 0) s.Append(Environment.NewLine);
717	acc[0] = d0; curLineLength = 0;
718	for (int d1 = 0; d1 < m_size[1]; d1++) {
719	acc[1] = d1;
720	element = elements [m_size.IndexFromArray(acc)];
721	if (!Object.ReferenceEquals(element,null)) {
722	sElement = String.Format ("{0,3:G} ", element).PadLeft(elemLength);
723	} else {
724	sElement = "(null)".PadLeft(elemLength);
725	}
726	curLineLength += sElement.Length;
727	if (curLineLength > maxLength - " ...".Length) {
728	s.Append(" ...");
729	break;
730	} else {
731	s.Append(sElement);
732	}
733	}
734	}
735	// increase higher dimension
736	d = 2;
737	while (d <= m_size.NumberOfDimensions - 1) {
738	acc[d]++;
739	if (acc[d] < m_size[d]) break;
740	acc[d] = 0;
741	d++;
742	}
743	if (d >= m_size.NumberOfDimensions) break;
744	}
745	#endregion
746
747	} else if (this.Data.Data.GetType() == typeof( UInt64 [] )) {
748	#region
749	UInt64 element;
750	UInt64 [] elements = (this.Data.Data as UInt64 []);
751	elemLength = 18 ;
752	double scaling = 1.0;
753	elemLength++;
754	while (acc[m_size.NumberOfDimensions - 1] <
755	m_size[m_size.NumberOfDimensions - 1]) {
756	// show only two first dimensions at the same time ...
757	// print header
758	if (m_size.NumberOfDimensions > 2 \|\| scaling != 1) {
759	if (s.Length > 0) s.Append(Environment.NewLine);
760	s.Append("(:,:");
761	for (d = 2; d < m_size.NumberOfDimensions; d++)
762	s.Append(String.Format(",{0}", acc[d]));
763	s.Append(") " + ((scaling!=1.0)? (scaling.ToString("e0") + " * "):""));
764	}
765	// show this for 2 leading dimensions
766	for (int d0 = 0; d0 < m_size[0]; d0++) {
767	if (++curRowsCount > maxRows) {
768	s.Append(Environment.NewLine + "( ... more rows exist)");
769	return s;
770	}
771	if (s.Length > 0) s.Append(Environment.NewLine);
772	acc[0] = d0; curLineLength = 0;
773	for (int d1 = 0; d1 < m_size[1]; d1++) {
774	acc[1] = d1;
775	element = elements [m_size.IndexFromArray(acc)];
776	if (!Object.ReferenceEquals(element,null)) {
777	sElement = String.Format ("{0,18:G} ", element).PadLeft(elemLength);
778	} else {
779	sElement = "(null)".PadLeft(elemLength);
780	}
781	curLineLength += sElement.Length;
782	if (curLineLength > maxLength - " ...".Length) {
783	s.Append(" ...");
784	break;
785	} else {
786	s.Append(sElement);
787	}
788	}
789	}
790	// increase higher dimension
791	d = 2;
792	while (d <= m_size.NumberOfDimensions - 1) {
793	acc[d]++;
794	if (acc[d] < m_size[d]) break;
795	acc[d] = 0;
796	d++;
797	}
798	if (d >= m_size.NumberOfDimensions) break;
799	}
800	#endregion
801
802	} else if (this.Data.Data.GetType() == typeof( UInt32 [] )) {
803	#region
804	UInt32 element;
805	UInt32 [] elements = (this.Data.Data as UInt32 []);
806	elemLength = 10 ;
807	double scaling = 1.0;
808	elemLength++;
809	while (acc[m_size.NumberOfDimensions - 1] <
810	m_size[m_size.NumberOfDimensions - 1]) {
811	// show only two first dimensions at the same time ...
812	// print header
813	if (m_size.NumberOfDimensions > 2 \|\| scaling != 1) {
814	if (s.Length > 0) s.Append(Environment.NewLine);
815	s.Append("(:,:");
816	for (d = 2; d < m_size.NumberOfDimensions; d++)
817	s.Append(String.Format(",{0}", acc[d]));
818	s.Append(") " + ((scaling!=1.0)? (scaling.ToString("e0") + " * "):""));
819	}
820	// show this for 2 leading dimensions
821	for (int d0 = 0; d0 < m_size[0]; d0++) {
822	if (++curRowsCount > maxRows) {
823	s.Append(Environment.NewLine + "( ... more rows exist)");
824	return s;
825	}
826	if (s.Length > 0) s.Append(Environment.NewLine);
827	acc[0] = d0; curLineLength = 0;
828	for (int d1 = 0; d1 < m_size[1]; d1++) {
829	acc[1] = d1;
830	element = elements [m_size.IndexFromArray(acc)];
831	if (!Object.ReferenceEquals(element,null)) {
832	sElement = String.Format ("{0,10:G} ", element).PadLeft(elemLength);
833	} else {
834	sElement = "(null)".PadLeft(elemLength);
835	}
836	curLineLength += sElement.Length;
837	if (curLineLength > maxLength - " ...".Length) {
838	s.Append(" ...");
839	break;
840	} else {
841	s.Append(sElement);
842	}
843	}
844	}
845	// increase higher dimension
846	d = 2;
847	while (d <= m_size.NumberOfDimensions - 1) {
848	acc[d]++;
849	if (acc[d] < m_size[d]) break;
850	acc[d] = 0;
851	d++;
852	}
853	if (d >= m_size.NumberOfDimensions) break;
854	}
855	#endregion
856
857	} else if (this.Data.Data.GetType() == typeof( UInt16 [] )) {
858	#region
859	UInt16 element;
860	UInt16 [] elements = (this.Data.Data as UInt16 []);
861	elemLength = 5 ;
862	double scaling = 1.0;
863	elemLength++;
864	while (acc[m_size.NumberOfDimensions - 1] <
865	m_size[m_size.NumberOfDimensions - 1]) {
866	// show only two first dimensions at the same time ...
867	// print header
868	if (m_size.NumberOfDimensions > 2 \|\| scaling != 1) {
869	if (s.Length > 0) s.Append(Environment.NewLine);
870	s.Append("(:,:");
871	for (d = 2; d < m_size.NumberOfDimensions; d++)
872	s.Append(String.Format(",{0}", acc[d]));
873	s.Append(") " + ((scaling!=1.0)? (scaling.ToString("e0") + " * "):""));
874	}
875	// show this for 2 leading dimensions
876	for (int d0 = 0; d0 < m_size[0]; d0++) {
877	if (++curRowsCount > maxRows) {
878	s.Append(Environment.NewLine + "( ... more rows exist)");
879	return s;
880	}
881	if (s.Length > 0) s.Append(Environment.NewLine);
882	acc[0] = d0; curLineLength = 0;
883	for (int d1 = 0; d1 < m_size[1]; d1++) {
884	acc[1] = d1;
885	element = elements [m_size.IndexFromArray(acc)];
886	if (!Object.ReferenceEquals(element,null)) {
887	sElement = String.Format ("{0,5:G} ", element).PadLeft(elemLength);
888	} else {
889	sElement = "(null)".PadLeft(elemLength);
890	}
891	curLineLength += sElement.Length;
892	if (curLineLength > maxLength - " ...".Length) {
893	s.Append(" ...");
894	break;
895	} else {
896	s.Append(sElement);
897	}
898	}
899	}
900	// increase higher dimension
901	d = 2;
902	while (d <= m_size.NumberOfDimensions - 1) {
903	acc[d]++;
904	if (acc[d] < m_size[d]) break;
905	acc[d] = 0;
906	d++;
907	}
908	if (d >= m_size.NumberOfDimensions) break;
909	}
910	#endregion
911
912	} else if (this.Data.Data.GetType() == typeof( Int64 [] )) {
913	#region
914	Int64 element;
915	Int64 [] elements = (this.Data.Data as Int64 []);
916	elemLength = 18 ;
917	double scaling = 1.0;
918	elemLength++;
919	while (acc[m_size.NumberOfDimensions - 1] <
920	m_size[m_size.NumberOfDimensions - 1]) {
921	// show only two first dimensions at the same time ...
922	// print header
923	if (m_size.NumberOfDimensions > 2 \|\| scaling != 1) {
924	if (s.Length > 0) s.Append(Environment.NewLine);
925	s.Append("(:,:");
926	for (d = 2; d < m_size.NumberOfDimensions; d++)
927	s.Append(String.Format(",{0}", acc[d]));
928	s.Append(") " + ((scaling!=1.0)? (scaling.ToString("e0") + " * "):""));
929	}
930	// show this for 2 leading dimensions
931	for (int d0 = 0; d0 < m_size[0]; d0++) {
932	if (++curRowsCount > maxRows) {
933	s.Append(Environment.NewLine + "( ... more rows exist)");
934	return s;
935	}
936	if (s.Length > 0) s.Append(Environment.NewLine);
937	acc[0] = d0; curLineLength = 0;
938	for (int d1 = 0; d1 < m_size[1]; d1++) {
939	acc[1] = d1;
940	element = elements [m_size.IndexFromArray(acc)];
941	if (!Object.ReferenceEquals(element,null)) {
942	sElement = String.Format ("{0,18:G} ", element).PadLeft(elemLength);
943	} else {
944	sElement = "(null)".PadLeft(elemLength);
945	}
946	curLineLength += sElement.Length;
947	if (curLineLength > maxLength - " ...".Length) {
948	s.Append(" ...");
949	break;
950	} else {
951	s.Append(sElement);
952	}
953	}
954	}
955	// increase higher dimension
956	d = 2;
957	while (d <= m_size.NumberOfDimensions - 1) {
958	acc[d]++;
959	if (acc[d] < m_size[d]) break;
960	acc[d] = 0;
961	d++;
962	}
963	if (d >= m_size.NumberOfDimensions) break;
964	}
965	#endregion
966
967	} else if (this.Data.Data.GetType() == typeof( Int32 [] )) {
968	#region
969	Int32 element;
970	Int32 [] elements = (this.Data.Data as Int32 []);
971	elemLength = 10 ;
972	double scaling = 1.0;
973	elemLength++;
974	while (acc[m_size.NumberOfDimensions - 1] <
975	m_size[m_size.NumberOfDimensions - 1]) {
976	// show only two first dimensions at the same time ...
977	// print header
978	if (m_size.NumberOfDimensions > 2 \|\| scaling != 1) {
979	if (s.Length > 0) s.Append(Environment.NewLine);
980	s.Append("(:,:");
981	for (d = 2; d < m_size.NumberOfDimensions; d++)
982	s.Append(String.Format(",{0}", acc[d]));
983	s.Append(") " + ((scaling!=1.0)? (scaling.ToString("e0") + " * "):""));
984	}
985	// show this for 2 leading dimensions
986	for (int d0 = 0; d0 < m_size[0]; d0++) {
987	if (++curRowsCount > maxRows) {
988	s.Append(Environment.NewLine + "( ... more rows exist)");
989	return s;
990	}
991	if (s.Length > 0) s.Append(Environment.NewLine);
992	acc[0] = d0; curLineLength = 0;
993	for (int d1 = 0; d1 < m_size[1]; d1++) {
994	acc[1] = d1;
995	element = elements [m_size.IndexFromArray(acc)];
996	if (!Object.ReferenceEquals(element,null)) {
997	sElement = String.Format ("{0,10:G} ", element).PadLeft(elemLength);
998	} else {
999	sElement = "(null)".PadLeft(elemLength);
1000	}
1001	curLineLength += sElement.Length;
1002	if (curLineLength > maxLength - " ...".Length) {
1003	s.Append(" ...");
1004	break;
1005	} else {
1006	s.Append(sElement);
1007	}
1008	}
1009	}
1010	// increase higher dimension
1011	d = 2;
1012	while (d <= m_size.NumberOfDimensions - 1) {
1013	acc[d]++;
1014	if (acc[d] < m_size[d]) break;
1015	acc[d] = 0;
1016	d++;
1017	}
1018	if (d >= m_size.NumberOfDimensions) break;
1019	}
1020	#endregion
1021
1022	} else if (this.Data.Data.GetType() == typeof( Int16 [] )) {
1023	#region
1024	Int16 element;
1025	Int16 [] elements = (this.Data.Data as Int16 []);
1026	elemLength = 5 ;
1027	double scaling = 1.0;
1028	elemLength++;
1029	while (acc[m_size.NumberOfDimensions - 1] <
1030	m_size[m_size.NumberOfDimensions - 1]) {
1031	// show only two first dimensions at the same time ...
1032	// print header
1033	if (m_size.NumberOfDimensions > 2 \|\| scaling != 1) {
1034	if (s.Length > 0) s.Append(Environment.NewLine);
1035	s.Append("(:,:");
1036	for (d = 2; d < m_size.NumberOfDimensions; d++)
1037	s.Append(String.Format(",{0}", acc[d]));
1038	s.Append(") " + ((scaling!=1.0)? (scaling.ToString("e0") + " * "):""));
1039	}
1040	// show this for 2 leading dimensions
1041	for (int d0 = 0; d0 < m_size[0]; d0++) {
1042	if (++curRowsCount > maxRows) {
1043	s.Append(Environment.NewLine + "( ... more rows exist)");
1044	return s;
1045	}
1046	if (s.Length > 0) s.Append(Environment.NewLine);
1047	acc[0] = d0; curLineLength = 0;
1048	for (int d1 = 0; d1 < m_size[1]; d1++) {
1049	acc[1] = d1;
1050	element = elements [m_size.IndexFromArray(acc)];
1051	if (!Object.ReferenceEquals(element,null)) {
1052	sElement = String.Format ("{0,5:G} ", element).PadLeft(elemLength);
1053	} else {
1054	sElement = "(null)".PadLeft(elemLength);
1055	}
1056	curLineLength += sElement.Length;
1057	if (curLineLength > maxLength - " ...".Length) {
1058	s.Append(" ...");
1059	break;
1060	} else {
1061	s.Append(sElement);
1062	}
1063	}
1064	}
1065	// increase higher dimension
1066	d = 2;
1067	while (d <= m_size.NumberOfDimensions - 1) {
1068	acc[d]++;
1069	if (acc[d] < m_size[d]) break;
1070	acc[d] = 0;
1071	d++;
1072	}
1073	if (d >= m_size.NumberOfDimensions) break;
1074	}
1075	#endregion
1076
1077	} else if (this.Data.Data.GetType() == typeof( ILStorage [] )) {
1078	#region
1079	ILStorage element;
1080	ILStorage [] elements = (this.Data.Data as ILStorage []);
1081	elemLength = 0 ;
1082	double scaling = 1.0;
1083	for (int i = 0; i < m_size.NumberOfElements; i++) {
1084	element = elements[i];
1085	int l = (element == null)? 6 : element.ShortInfo().Length;
1086	if (l > elemLength) elemLength = l;
1087	}
1088
1089	elemLength++;
1090	while (acc[m_size.NumberOfDimensions - 1] <
1091	m_size[m_size.NumberOfDimensions - 1]) {
1092	// show only two first dimensions at the same time ...
1093	// print header
1094	if (m_size.NumberOfDimensions > 2 \|\| scaling != 1) {
1095	if (s.Length > 0) s.Append(Environment.NewLine);
1096	s.Append("(:,:");
1097	for (d = 2; d < m_size.NumberOfDimensions; d++)
1098	s.Append(String.Format(",{0}", acc[d]));
1099	s.Append(") " + ((scaling!=1.0)? (scaling.ToString("e0") + " * "):""));
1100	}
1101	// show this for 2 leading dimensions
1102	for (int d0 = 0; d0 < m_size[0]; d0++) {
1103	if (++curRowsCount > maxRows) {
1104	s.Append(Environment.NewLine + "( ... more rows exist)");
1105	return s;
1106	}
1107	if (s.Length > 0) s.Append(Environment.NewLine);
1108	acc[0] = d0; curLineLength = 0;
1109	for (int d1 = 0; d1 < m_size[1]; d1++) {
1110	acc[1] = d1;
1111	element = elements [m_size.IndexFromArray(acc)];
1112	if (!Object.ReferenceEquals(element,null)) {
1113	sElement = element.ShortInfo().PadRight(elemLength);
1114	} else {
1115	sElement = "(null)".PadLeft(elemLength);
1116	}
1117	curLineLength += sElement.Length;
1118	if (curLineLength > maxLength - " ...".Length) {
1119	s.Append(" ...");
1120	break;
1121	} else {
1122	s.Append(sElement);
1123	}
1124	}
1125	}
1126	// increase higher dimension
1127	d = 2;
1128	while (d <= m_size.NumberOfDimensions - 1) {
1129	acc[d]++;
1130	if (acc[d] < m_size[d]) break;
1131	acc[d] = 0;
1132	d++;
1133	}
1134	if (d >= m_size.NumberOfDimensions) break;
1135	}
1136	#endregion
1137
1138	} else if (this.Data.Data.GetType() == typeof( object [] )) {
1139	#region
1140	object element;
1141	object [] elements = (this.Data.Data as object []);
1142	elemLength = 18 ;
1143	double scaling = 1.0;
1144	elemLength++;
1145	while (acc[m_size.NumberOfDimensions - 1] <
1146	m_size[m_size.NumberOfDimensions - 1]) {
1147	// show only two first dimensions at the same time ...
1148	// print header
1149	if (m_size.NumberOfDimensions > 2 \|\| scaling != 1) {
1150	if (s.Length > 0) s.Append(Environment.NewLine);
1151	s.Append("(:,:");
1152	for (d = 2; d < m_size.NumberOfDimensions; d++)
1153	s.Append(String.Format(",{0}", acc[d]));
1154	s.Append(") " + ((scaling!=1.0)? (scaling.ToString("e0") + " * "):""));
1155	}
1156	// show this for 2 leading dimensions
1157	for (int d0 = 0; d0 < m_size[0]; d0++) {
1158	if (++curRowsCount > maxRows) {
1159	s.Append(Environment.NewLine + "( ... more rows exist)");
1160	return s;
1161	}
1162	if (s.Length > 0) s.Append(Environment.NewLine);
1163	acc[0] = d0; curLineLength = 0;
1164	for (int d1 = 0; d1 < m_size[1]; d1++) {
1165	acc[1] = d1;
1166	element = elements [m_size.IndexFromArray(acc)];
1167	if (!Object.ReferenceEquals(element,null)) {
1168	sElement = String.Format ("{0} ", element).PadLeft(elemLength);
1169	} else {
1170	sElement = "(null)".PadLeft(elemLength);
1171	}
1172	curLineLength += sElement.Length;
1173	if (curLineLength > maxLength - " ...".Length) {
1174	s.Append(" ...");
1175	break;
1176	} else {
1177	s.Append(sElement);
1178	}
1179	}
1180	}
1181	// increase higher dimension
1182	d = 2;
1183	while (d <= m_size.NumberOfDimensions - 1) {
1184	acc[d]++;
1185	if (acc[d] < m_size[d]) break;
1186	acc[d] = 0;
1187	d++;
1188	}
1189	if (d >= m_size.NumberOfDimensions) break;
1190	}
1191	#endregion
1192
1193	#endregion HYCALPER AUTO GENERATED CODE
1194	} else if (this is ILDenseStorage<string> ) {
1195	#region
1196	string element;
1197	string[] elements = (this.Data.Data as string[]);
1198	elemLength = 18;
1199	int maxElemLength = 50; // todo: may better be a setting? abreviate after as many chars
1200	elemLength++;
1201	while (acc[m_size.NumberOfDimensions - 1] <
1202	m_size[m_size.NumberOfDimensions - 1]) {
1203	// show only two first dimensions at the same time ...
1204	// print header
1205	if (m_size.NumberOfDimensions > 2) {
1206	if (s.Length > 0) s.Append(Environment.NewLine);
1207	s.Append("(:,:");
1208	for (d = 2; d < m_size.NumberOfDimensions; d++)
1209	s.Append(String.Format(",{0}", acc[d]));
1210	s.Append(") ");
1211	}
1212	// show this for 2 leading dimensions
1213	for (int d0 = 0; d0 < m_size[0]; d0++) {
1214	if (++curRowsCount > maxRows) {
1215	s.Append(Environment.NewLine + "( ... more rows exist)");
1216	return s;
1217	}
1218	if (s.Length > 0) s.Append(Environment.NewLine);
1219	acc[0] = d0; curLineLength = 0;
1220	for (int d1 = 0; d1 < m_size[1]; d1++) {
1221	acc[1] = d1;
1222	element = elements[m_size.IndexFromArray(acc)];
1223	if (!Object.ReferenceEquals(element, null)) {
1224	if (element.Length > maxElemLength) {
1225	sElement = element.Substring(0,maxElemLength - 3) + "...";
1226	} else {
1227	sElement = String.Format("{0} ", element).PadLeft(elemLength);
1228	}
1229	} else {
1230	sElement = "(null)".PadLeft(elemLength);
1231	}
1232	curLineLength += sElement.Length;
1233	if (curLineLength > maxLength - " ...".Length) {
1234	s.Append(" ...");
1235	break;
1236	} else {
1237	s.Append(sElement);
1238	}
1239	}
1240	}
1241	// increase higher dimension
1242	d = 2;
1243	while (d <= m_size.NumberOfDimensions - 1) {
1244	acc[d]++;
1245	if (acc[d] < m_size[d]) break;
1246	acc[d] = 0;
1247	d++;
1248	}
1249	if (d >= m_size.NumberOfDimensions) break;
1250	}
1251	#endregion
1252	} else {
1253	return new StringBuilder ("(Unknown data type.)");
1254	}
1255	return s;
1256	}
1257	private double getScalingForPrint() {
1258	ElementType min, max;
1259	if (GetLimits(out min, out max, false)) {
1260	try {
1261	double scaling = Math.Max(
1262	Math.Abs(double.Parse(min.ToString())),
1263	Math.Abs( double.Parse(max.ToString()))
1264	);
1265	if (scaling == 0 \|\| (scaling > 1e-1 && scaling < 1e1))
1266	scaling = 1;
1267	scaling = Math.Pow(10,Math.Floor(Math.Log10(scaling)));
1268	if (scaling < 10000 && scaling >= 1)
1269	scaling = 1;
1270	return scaling;
1271	} catch (Exception) {
1272	return 1.0;
1273	}
1274	} else {
1275	return 1.0;
1276	}
1277	}
1278	private int GetTypedElementStringProperties(double scaling, out string format) {
1279	format = "E+00000000000000;0.0;-E+00000000000000";
1280	if (this is ILDenseStorage<double>) {
1281	return double.MaxValue.ToString().Length;
1282	} else if (this is ILDenseStorage<float>) {
1283	return float.MaxValue.ToString().Length;
1284	} else if (this is ILDenseStorage<Complex>) {
1285	return double.MaxValue.ToString().Length * 2 + 2;
1286	} else if (this is ILDenseStorage<complex>) {
1287	return double.MaxValue.ToString().Length * 2 + 2;
1288	} else if (this is ILDenseStorage<fcomplex>) {
1289	return float.MaxValue.ToString().Length * 2 + 2;
1290	} else if (this is ILDenseStorage<char>) {
1291	return char.MaxValue.ToString().Length;
1292	} else if (this is ILDenseStorage<byte>) {
1293	return byte.MaxValue.ToString().Length;
1294	} else if (this is ILDenseStorage<Int16>) {
1295	return Int16.MaxValue.ToString().Length;
1296	} else if (this is ILDenseStorage<Int32>) {
1297	return Int32.MaxValue.ToString().Length;
1298	} else if (this is ILDenseStorage<Int64>) {
1299	return Int64.MaxValue.ToString().Length;
1300	} else if (this is ILDenseStorage<UInt16>) {
1301	return UInt16.MaxValue.ToString().Length;
1302	} else if (this is ILDenseStorage<UInt32>) {
1303	return UInt32.MaxValue.ToString().Length;
1304	} else if (this is ILDenseStorage<UInt64>) {
1305	return UInt64.MaxValue.ToString().Length;
1306	} else
1307	return 10;
1308	}
1309	private string ComplexHelper(Complex a, int digits) {
1310	if (digits < 1) return "";
1311	if (a.Imaginary >= 0) {
1312	return String.Format("{0:f10}+{1:f10}", a.Real, a.Imaginary);
1313	} else {
1314	return String.Format("{0:f10}-{1:f10}", a.Real, -a.Imaginary);
1315	}
1316	}
1317	/// <summary>
1318	/// Check if the content of this array equals the content of obj.
1319	/// </summary>
1320	/// <param name="obj">storage containing the values with which to compare this array.</param>
1321	/// <returns>True if all elements contained in obj are equal to the
1322	/// elements of this array, false otherwise.</returns>
1323	/// <remarks>This method compares the object references of corresponding elements.
1324	/// The size and type of both arrays must match. Otherwise false will be returned.</remarks>
1325	internal override bool Equals(object obj) {
1326	if (object.Equals(obj,null)) return false;
1327	if (obj is ElementType)
1328	if (Size.NumberOfElements == 1
1329	&& obj.ToString() == GetValueTyped(0).ToString())
1330	return true;
1331	else
1332	return false;
1333	ILDenseStorage<ElementType> denseStorage = obj as ILDenseStorage<ElementType>;
1334	if (object.Equals(denseStorage,null))
1335	return false;
1336	return Equals(denseStorage);
1337	}
1338	/// <summary>
1339	/// Test if this dense storage equals another dense storage.
1340	/// </summary>
1341	/// <param name="A">storage to compare this storage with</param>
1342	/// <returns>True if all elements and dimension sizes match, false otherwise.</returns>
1343	internal bool Equals(ILDenseStorage<ElementType> A) {
1344	if (A == null) return false;
1345	if (!A.Size.IsSameSize(m_size))
1346	return false;
1347	int len = m_size.NumberOfElements;
1348	if (typeof(ElementType).IsValueType) {
1349	for (int i = 0; i < len;i++) {
1350	if (!GetValueTyped(i).Equals(A.GetValueTyped(i)))
1351	return false;
1352	}
1353	} else {
1354	// references may contain null element values!
1355	for (int i = 0; i < len;i++) {
1356	ElementType t1 = GetValueTyped(i);
1357	if (t1 == null) {
1358	if (!A.GetValueTyped(i).Equals(null))
1359	return false;
1360	} else {
1361	if (!t1.Equals(A.GetValueTyped(i)))
1362	return false;
1363	}
1364	}
1365	}
1366	return true;
1367	}
1368	/// <summary>
1369	/// generate a hash code based on the current arrays values
1370	/// </summary>
1371	/// <returns>hash code</returns>
1372	/// <remarks>The hashcode is generated by taking the values currently stored in the array into account.
1373	/// Therefore, the function must iterate over all elements in the array - which makes it somehow a expensive
1374	/// operation. Take this into account, if you consider using large arrays in collections like dictionaries
1375	/// or hashtables, which make great use of hash codes.</remarks>
1376	public override int GetHashCode() {
1377	if (IsDisposed) return base.GetHashCode();
1378	int ret = Size.GetHashCode();
1379	ElementType[] data = GetArrayForRead();
1380	ret = (ret * 17) + data.Length;
1381	foreach (ElementType t in data) {
1382	ret = unchecked( ret * 17 );
1383	if (t != null)
1384	ret = unchecked(ret + t.GetHashCode());
1385	}
1386	return (int)ret;
1387	}
1388	#endregion
1389
1390	#region subarray + range get / set
1391	/// <summary>
1392	/// Alter values specified by range.
1393	/// </summary>
1394	/// <param name="range">ILRange specifying the dimensions/indices to be altered.</param>
1395	/// <param name="values">new values</param>
1396	/// <remarks>
1397	/// The values pointed to by range will be replaced with the values
1398	/// found in 'values'. Important: the range cannot specify indices outside of my dimensions!
1399	/// Therefore, the storage must have been expanded in advance, if needed!</remarks>
1400	public virtual void SetRange(ILRange range, ILDenseStorage<ElementType> values) {
1401	if (range.Size.NumberOfElements == 0) return;
1402	int rangeDimLen = range.RangeArray.Length,higherDimSum = 0;
1403	int leadDimLenRange = range[0].Count, leadDimLen = m_size[0];
1404	int d, outElemCount = range.Size.NumberOfElements;
1405	ElementType[] myArr = GetArrayForWrite();
1406	int[] idxArr = new int[rangeDimLen]; // used to store current position inside higher dims
1407	ILIntList[] rng = range.RangeArray;
1408	int[] seqDistances = m_size.GetSequentialIndexDistances(range.Size.NumberOfDimensions);
1409	int[] inFullDim = new int[rangeDimLen];
1410	// initialize higher dimension summand and inFullDim[] flag array
1411	for (int i = 1; i < idxArr.Length; i++) {
1412	if (rng[i][0] < 0) {
1413	inFullDim[i] = rng[i][0];
1414	} else {
1415	inFullDim[i] = 0;
1416	higherDimSum += seqDistances[i] * rng[i][0];
1417	}
1418	}
1419	//for (int lIdx = 0; lIdx < leadDimLenRange; lIdx ++) {
1420	// retArr[curPosOut++] = myArr[higherDimSum + rleadDim[lIdx]];
1421	//}
1422	if (values.Size.NumberOfElements == 1) {
1423	#region scalar case
1424	ElementType scalar = values.GetValueTyped(0);
1425	while (true) {
1426	// copy along leading dimension
1427	for (int i = 0; i < rng[0].Count; i++) {
1428	if (rng[0][i] < 0) {
1429	for (int c = -rng[0][i]; c-- >= 0; ) {
1430	// we need a upward counter variable anyway, initialized with
1431	// higherDimSum. So we simply take that and reset it after the loop:
1432	myArr[ higherDimSum++ ] = scalar;
1433	}
1434	higherDimSum += (rng[0][i]-1); // negative value in rng!
1435	} else {
1436	myArr[ higherDimSum + rng[0][i] ] = scalar;
1437	}
1438
1439	}
1440
1441	// increase higher dims
1442	d = 1;
1443	while (d < idxArr.Length) {
1444	if (inFullDim[d] < 0) {
1445	higherDimSum += seqDistances[d];
1446	inFullDim[d]++;
1447	break;
1448	}
1449
1450	if (rng[d][idxArr[d]] >= 0) {
1451	higherDimSum -= (rng[d][idxArr[d]] * seqDistances[d]);
1452	} else {
1453	higherDimSum += (rng[d][idxArr[d]] * seqDistances[d]);
1454	}
1455	idxArr[d]++;
1456	if (idxArr[d] == rng[d].Count) {
1457	idxArr[d] = 0;
1458	if (rng[d][0] < 0) {
1459	inFullDim[d] = rng[d][idxArr[d]];
1460	} else {
1461	higherDimSum += (rng[d][0] * seqDistances[d]);
1462	}
1463	d++;
1464	} else if (rng[d][idxArr[d]] < 0) {
1465	inFullDim[d] = rng[d][idxArr[d]];
1466	break;
1467	} else {
1468	higherDimSum += seqDistances[d] * rng[d][idxArr[d]];
1469	break;
1470	}
1471
1472	}
1473	if (d >= idxArr.Length)
1474	break;
1475	}
1476	#endregion
1477	} else {
1478	#region non scalar case
1479	ElementType [] valuesArr = values.GetArrayForRead();
1480	int valuesPos = 0;
1481	while (true) {
1482	// copy along leading dimension
1483	for (int i = 0; i < rng[0].Count; i++) {
1484	if (rng[0][i] < 0) {
1485	for (int c = -rng[0][i]; c-- >= 0; ) {
1486	myArr[ higherDimSum++ ] = valuesArr[ valuesPos++ ];
1487	}
1488	higherDimSum += (rng[0][i]-1); // negative value in rng!
1489	} else {
1490	myArr[ higherDimSum + rng[0][i] ] = valuesArr[ valuesPos++ ];
1491	}
1492	}
1493
1494	// increase higher dims
1495	d = 1;
1496	while (d < idxArr.Length) {
1497	if (inFullDim[d] < 0) {
1498	higherDimSum += seqDistances[d];
1499	inFullDim[d]++;
1500	break;
1501	}
1502
1503	if (rng[d][idxArr[d]] >= 0) {
1504	higherDimSum -= (rng[d][idxArr[d]] * seqDistances[d]);
1505	} else {
1506	higherDimSum += (rng[d][idxArr[d]] * seqDistances[d]);
1507	}
1508	idxArr[d]++;
1509	if (idxArr[d] == rng[d].Count) {
1510	idxArr[d] = 0;
1511	if (rng[d][idxArr[d]] < 0) {
1512	inFullDim[d] = rng[d][idxArr[d]];
1513	} else {
1514	higherDimSum += (rng[d][0] * seqDistances[d]);
1515	}
1516	d++;
1517	} else if (rng[d][idxArr[d]] < 0) {
1518	inFullDim[d] = rng[d][idxArr[d]];
1519	break;
1520	} else {
1521	higherDimSum += seqDistances[d] * rng[d][idxArr[d]];
1522	break;
1523	}
1524
1525	}
1526	if (d >= idxArr.Length)
1527	break;
1528	}
1529	#endregion
1530	}
1531	}
1532
1533	internal virtual void SetRangeFull(ILDenseStorage<ElementType> values) {
1534	if (values.Size.NumberOfElements != 1 && values.Size.NumberOfElements != Size.NumberOfElements)
1535	throw new ILArgumentException("source and destination array must have the same number of arguments");
1536	ElementType[] myArr = GetArrayForWrite();
1537	if (values.Size.NumberOfElements == 1) {
1538	ElementType scal = values.GetValueTyped(0);
1539	for (int i = 0; i < myArr.Length; i++) {
1540	myArr[i] = scal;
1541	}
1542	} else {
1543	ElementType[] valArr = values.GetArrayForRead();
1544	System.Array.Copy(valArr,myArr,Size.NumberOfElements);
1545	}
1546	}
1547
1548
1549
1550	/// <summary>
1551	/// Alter elements of this storage adressed by sequential indices
1552	/// </summary>
1553	/// <param name="indices">array specifying the elements to be altered, sequential indexing</param>
1554	/// <param name="values">ILBaseArray of the same type than this array, holding the new values.
1555	/// The number of elements of storage must match the
1556	/// number of elements of indices. The only exception to this rule is if 'values' is a scalar array. The
1557	/// single value of 'values' is than used to set all elements addressed by 'indices'.</param>
1558	/// <remarks><para>For empty arrays, scalar or vectors, indices outside the current bounds for
1559	/// this array will expand this array to the size neccessary.
1560	/// For other arrays the sequential indices given must fit inside this arrays dimensions. </para></remarks>
1561	public virtual void SetRange(ILBaseArray<double> indices, ILDenseStorage<ElementType> values) {
1562	//if (object.Equals(indices,null))
1563	// throw new ILArgumentException("indices given must not be null");
1564	if (object.Equals(values, null))
1565	throw new ILArgumentException("values given must not be null. Use A[ind] = null; if removal was intended.");
1566	using (ILScope.Enter(indices)) {
1567	#region set full shortcut
1568	if (indices is ILFullRange \|\| object.Equals(indices, null)) {
1569	int pos;
1570	ElementType[] myArray = GetArrayForWrite();
1571	if (values.Size.NumberOfElements == 1) {
1572	pos = Size.NumberOfElements;
1573	ElementType val = values.GetValueTyped(0);
1574	while (pos-- > 0)
1575	myArray[pos] = val;
1576	} else {
1577	if (values.Size.NumberOfElements != Size.NumberOfElements)
1578	throw new ILArgumentException("number of elements in source must match number of elements in destination array");
1579	pos = 0;
1580	foreach (ElementType val in values) {
1581	myArray[pos++] = val;
1582	}
1583	}
1584	} else if (indices.Size.NumberOfElements != values.Size.NumberOfElements
1585	&& values.Size.NumberOfElements != 1)
1586	throw new ILArgumentException("number of elements in source must match number of elements in destination array");
1587	#endregion
1588	if (indices.IsEmpty)
1589	return;
1590	if (indices.Storage is ILDenseStorage< double>) {
1591
1592	double maxIndex, minIndex;
1593	ILDenseStorage< double> indStorage = indices.Storage as ILDenseStorage< double>;
1594	indStorage.GetLimits(out minIndex, out maxIndex);
1595	if (minIndex < 0)
1596	throw new ILArgumentException("sequential indices can not be negative");
1597	if ((int)maxIndex >= m_size.NumberOfElements) {
1598	// handle resize
1599	if (m_size.NumberOfDimensions == 2) {
1600	if (m_size.NumberOfElements <= 1) {
1601	// scalar or empty -> expand along 1
1602	ExpandArray(new int[] { (int)maxIndex + 1, 1 });
1603	} else if (m_size[0] > 1 && m_size[1] == 1) {
1604	ExpandArray(new int[] { (int)maxIndex + 1, 1 });
1605	} else if (m_size[0] == 1 && m_size[1] > 1) {
1606	ExpandArray(new int[] { 1, (int)maxIndex + 1 });
1607	} else
1608	throw new ILArgumentException("resizing array via sequential index access is supported for empty, scalar or vector only");
1609	} else
1610	throw new ILArgumentException("resizing array via sequential index access is supported for empty, scalar or vector only");
1611	}
1612	ElementType[] myArray = GetArrayForWrite();
1613
1614	double[] indArray = indStorage.GetArrayForRead();
1615
1616	int len = indices.Size.NumberOfElements;
1617	if (values.Size.NumberOfElements == 1) {
1618	ElementType scalarElement = values.GetValueTyped(0);
1619	for (int i = 0; i < len; ) {
1620	myArray[(int)indArray[i++]] = scalarElement;
1621	}
1622	} else {
1623	ElementType[] valArray = values.GetArrayForRead();
1624	for (int i = 0; i < len; ) {
1625	myArray[(int)indArray[i]] = valArray[i++];
1626	}
1627	}
1628	} else {
1629	throw new ILArgumentException("storage type of given indices is not supported");
1630	}
1631	}
1632	}
1633
1634	#region HYCALPER AUTO GENERATED CODE
1635
1636
1637	/// <summary>
1638	/// Alter elements of this storage adressed by sequential indices
1639	/// </summary>
1640	/// <param name="indices">array specifying the elements to be altered, sequential indexing</param>
1641	/// <param name="values">ILBaseArray of the same type than this array, holding the new values.
1642	/// The number of elements of storage must match the
1643	/// number of elements of indices. The only exception to this rule is if 'values' is a scalar array. The
1644	/// single value of 'values' is than used to set all elements addressed by 'indices'.</param>
1645	/// <remarks><para>For empty arrays, scalar or vectors, indices outside the current bounds for
1646	/// this array will expand this array to the size neccessary.
1647	/// For other arrays the sequential indices given must fit inside this arrays dimensions. </para></remarks>
1648	public virtual void SetRange(ILBaseArray<Int64> indices, ILDenseStorage<ElementType> values) {
1649	//if (object.Equals(indices,null))
1650	// throw new ILArgumentException("indices given must not be null");
1651	if (object.Equals(values, null))
1652	throw new ILArgumentException("values given must not be null. Use A[ind] = null; if removal was intended.");
1653	using (ILScope.Enter(indices)) {
1654	#region set full shortcut
1655	if (indices is ILFullRange \|\| object.Equals(indices, null)) {
1656	int pos;
1657	ElementType[] myArray = GetArrayForWrite();
1658	if (values.Size.NumberOfElements == 1) {
1659	pos = Size.NumberOfElements;
1660	ElementType val = values.GetValueTyped(0);
1661	while (pos-- > 0)
1662	myArray[pos] = val;
1663	} else {
1664	if (values.Size.NumberOfElements != Size.NumberOfElements)
1665	throw new ILArgumentException("number of elements in source must match number of elements in destination array");
1666	pos = 0;
1667	foreach (ElementType val in values) {
1668	myArray[pos++] = val;
1669	}
1670	}
1671	} else if (indices.Size.NumberOfElements != values.Size.NumberOfElements
1672	&& values.Size.NumberOfElements != 1)
1673	throw new ILArgumentException("number of elements in source must match number of elements in destination array");
1674	#endregion
1675	if (indices.IsEmpty)
1676	return;
1677	if (indices.Storage is ILDenseStorage< Int64>) {
1678
1679	Int64 maxIndex, minIndex;
1680	ILDenseStorage< Int64> indStorage = indices.Storage as ILDenseStorage< Int64>;
1681	indStorage.GetLimits(out minIndex, out maxIndex);
1682	if (minIndex < 0)
1683	throw new ILArgumentException("sequential indices can not be negative");
1684	if ((int)maxIndex >= m_size.NumberOfElements) {
1685	// handle resize
1686	if (m_size.NumberOfDimensions == 2) {
1687	if (m_size.NumberOfElements <= 1) {
1688	// scalar or empty -> expand along 1
1689	ExpandArray(new int[] { (int)maxIndex + 1, 1 });
1690	} else if (m_size[0] > 1 && m_size[1] == 1) {
1691	ExpandArray(new int[] { (int)maxIndex + 1, 1 });
1692	} else if (m_size[0] == 1 && m_size[1] > 1) {
1693	ExpandArray(new int[] { 1, (int)maxIndex + 1 });
1694	} else
1695	throw new ILArgumentException("resizing array via sequential index access is supported for empty, scalar or vector only");
1696	} else
1697	throw new ILArgumentException("resizing array via sequential index access is supported for empty, scalar or vector only");
1698	}
1699	ElementType[] myArray = GetArrayForWrite();
1700
1701	Int64[] indArray = indStorage.GetArrayForRead();
1702
1703	int len = indices.Size.NumberOfElements;
1704	if (values.Size.NumberOfElements == 1) {
1705	ElementType scalarElement = values.GetValueTyped(0);
1706	for (int i = 0; i < len; ) {
1707	myArray[(int)indArray[i++]] = scalarElement;
1708	}
1709	} else {
1710	ElementType[] valArray = values.GetArrayForRead();
1711	for (int i = 0; i < len; ) {
1712	myArray[(int)indArray[i]] = valArray[i++];
1713	}
1714	}
1715	} else {
1716	throw new ILArgumentException("storage type of given indices is not supported");
1717	}
1718	}
1719	}
1720
1721	/// <summary>
1722	/// Alter elements of this storage adressed by sequential indices
1723	/// </summary>
1724	/// <param name="indices">array specifying the elements to be altered, sequential indexing</param>
1725	/// <param name="values">ILBaseArray of the same type than this array, holding the new values.
1726	/// The number of elements of storage must match the
1727	/// number of elements of indices. The only exception to this rule is if 'values' is a scalar array. The
1728	/// single value of 'values' is than used to set all elements addressed by 'indices'.</param>
1729	/// <remarks><para>For empty arrays, scalar or vectors, indices outside the current bounds for
1730	/// this array will expand this array to the size neccessary.
1731	/// For other arrays the sequential indices given must fit inside this arrays dimensions. </para></remarks>
1732	public virtual void SetRange(ILBaseArray<Int32> indices, ILDenseStorage<ElementType> values) {
1733	//if (object.Equals(indices,null))
1734	// throw new ILArgumentException("indices given must not be null");
1735	if (object.Equals(values, null))
1736	throw new ILArgumentException("values given must not be null. Use A[ind] = null; if removal was intended.");
1737	using (ILScope.Enter(indices)) {
1738	#region set full shortcut
1739	if (indices is ILFullRange \|\| object.Equals(indices, null)) {
1740	int pos;
1741	ElementType[] myArray = GetArrayForWrite();
1742	if (values.Size.NumberOfElements == 1) {
1743	pos = Size.NumberOfElements;
1744	ElementType val = values.GetValueTyped(0);
1745	while (pos-- > 0)
1746	myArray[pos] = val;
1747	} else {
1748	if (values.Size.NumberOfElements != Size.NumberOfElements)
1749	throw new ILArgumentException("number of elements in source must match number of elements in destination array");
1750	pos = 0;
1751	foreach (ElementType val in values) {
1752	myArray[pos++] = val;
1753	}
1754	}
1755	} else if (indices.Size.NumberOfElements != values.Size.NumberOfElements
1756	&& values.Size.NumberOfElements != 1)
1757	throw new ILArgumentException("number of elements in source must match number of elements in destination array");
1758	#endregion
1759	if (indices.IsEmpty)
1760	return;
1761	if (indices.Storage is ILDenseStorage< Int32>) {
1762
1763	Int32 maxIndex, minIndex;
1764	ILDenseStorage< Int32> indStorage = indices.Storage as ILDenseStorage< Int32>;
1765	indStorage.GetLimits(out minIndex, out maxIndex);
1766	if (minIndex < 0)
1767	throw new ILArgumentException("sequential indices can not be negative");
1768	if ((int)maxIndex >= m_size.NumberOfElements) {
1769	// handle resize
1770	if (m_size.NumberOfDimensions == 2) {
1771	if (m_size.NumberOfElements <= 1) {
1772	// scalar or empty -> expand along 1
1773	ExpandArray(new int[] { (int)maxIndex + 1, 1 });
1774	} else if (m_size[0] > 1 && m_size[1] == 1) {
1775	ExpandArray(new int[] { (int)maxIndex + 1, 1 });
1776	} else if (m_size[0] == 1 && m_size[1] > 1) {
1777	ExpandArray(new int[] { 1, (int)maxIndex + 1 });
1778	} else
1779	throw new ILArgumentException("resizing array via sequential index access is supported for empty, scalar or vector only");
1780	} else
1781	throw new ILArgumentException("resizing array via sequential index access is supported for empty, scalar or vector only");
1782	}
1783	ElementType[] myArray = GetArrayForWrite();
1784
1785	Int32[] indArray = indStorage.GetArrayForRead();
1786
1787	int len = indices.Size.NumberOfElements;
1788	if (values.Size.NumberOfElements == 1) {
1789	ElementType scalarElement = values.GetValueTyped(0);
1790	for (int i = 0; i < len; ) {
1791	myArray[(int)indArray[i++]] = scalarElement;
1792	}
1793	} else {
1794	ElementType[] valArray = values.GetArrayForRead();
1795	for (int i = 0; i < len; ) {
1796	myArray[(int)indArray[i]] = valArray[i++];
1797	}
1798	}
1799	} else {
1800	throw new ILArgumentException("storage type of given indices is not supported");
1801	}
1802	}
1803	}
1804
1805	/// <summary>
1806	/// Alter elements of this storage adressed by sequential indices
1807	/// </summary>
1808	/// <param name="indices">array specifying the elements to be altered, sequential indexing</param>
1809	/// <param name="values">ILBaseArray of the same type than this array, holding the new values.
1810	/// The number of elements of storage must match the
1811	/// number of elements of indices. The only exception to this rule is if 'values' is a scalar array. The
1812	/// single value of 'values' is than used to set all elements addressed by 'indices'.</param>
1813	/// <remarks><para>For empty arrays, scalar or vectors, indices outside the current bounds for
1814	/// this array will expand this array to the size neccessary.
1815	/// For other arrays the sequential indices given must fit inside this arrays dimensions. </para></remarks>
1816	public virtual void SetRange(ILBaseArray<Int16> indices, ILDenseStorage<ElementType> values) {
1817	//if (object.Equals(indices,null))
1818	// throw new ILArgumentException("indices given must not be null");
1819	if (object.Equals(values, null))
1820	throw new ILArgumentException("values given must not be null. Use A[ind] = null; if removal was intended.");
1821	using (ILScope.Enter(indices)) {
1822	#region set full shortcut
1823	if (indices is ILFullRange \|\| object.Equals(indices, null)) {
1824	int pos;
1825	ElementType[] myArray = GetArrayForWrite();
1826	if (values.Size.NumberOfElements == 1) {
1827	pos = Size.NumberOfElements;
1828	ElementType val = values.GetValueTyped(0);
1829	while (pos-- > 0)
1830	myArray[pos] = val;
1831	} else {
1832	if (values.Size.NumberOfElements != Size.NumberOfElements)
1833	throw new ILArgumentException("number of elements in source must match number of elements in destination array");
1834	pos = 0;
1835	foreach (ElementType val in values) {
1836	myArray[pos++] = val;
1837	}
1838	}
1839	} else if (indices.Size.NumberOfElements != values.Size.NumberOfElements
1840	&& values.Size.NumberOfElements != 1)
1841	throw new ILArgumentException("number of elements in source must match number of elements in destination array");
1842	#endregion
1843	if (indices.IsEmpty)
1844	return;
1845	if (indices.Storage is ILDenseStorage< Int16>) {
1846
1847	Int16 maxIndex, minIndex;
1848	ILDenseStorage< Int16> indStorage = indices.Storage as ILDenseStorage< Int16>;
1849	indStorage.GetLimits(out minIndex, out maxIndex);
1850	if (minIndex < 0)
1851	throw new ILArgumentException("sequential indices can not be negative");
1852	if ((int)maxIndex >= m_size.NumberOfElements) {
1853	// handle resize
1854	if (m_size.NumberOfDimensions == 2) {
1855	if (m_size.NumberOfElements <= 1) {
1856	// scalar or empty -> expand along 1
1857	ExpandArray(new int[] { (int)maxIndex + 1, 1 });
1858	} else if (m_size[0] > 1 && m_size[1] == 1) {
1859	ExpandArray(new int[] { (int)maxIndex + 1, 1 });
1860	} else if (m_size[0] == 1 && m_size[1] > 1) {
1861	ExpandArray(new int[] { 1, (int)maxIndex + 1 });
1862	} else
1863	throw new ILArgumentException("resizing array via sequential index access is supported for empty, scalar or vector only");
1864	} else
1865	throw new ILArgumentException("resizing array via sequential index access is supported for empty, scalar or vector only");
1866	}
1867	ElementType[] myArray = GetArrayForWrite();
1868
1869	Int16[] indArray = indStorage.GetArrayForRead();
1870
1871	int len = indices.Size.NumberOfElements;
1872	if (values.Size.NumberOfElements == 1) {
1873	ElementType scalarElement = values.GetValueTyped(0);
1874	for (int i = 0; i < len; ) {
1875	myArray[(int)indArray[i++]] = scalarElement;
1876	}
1877	} else {
1878	ElementType[] valArray = values.GetArrayForRead();
1879	for (int i = 0; i < len; ) {
1880	myArray[(int)indArray[i]] = valArray[i++];
1881	}
1882	}
1883	} else {
1884	throw new ILArgumentException("storage type of given indices is not supported");
1885	}
1886	}
1887	}
1888
1889	/// <summary>
1890	/// Alter elements of this storage adressed by sequential indices
1891	/// </summary>
1892	/// <param name="indices">array specifying the elements to be altered, sequential indexing</param>
1893	/// <param name="values">ILBaseArray of the same type than this array, holding the new values.
1894	/// The number of elements of storage must match the
1895	/// number of elements of indices. The only exception to this rule is if 'values' is a scalar array. The
1896	/// single value of 'values' is than used to set all elements addressed by 'indices'.</param>
1897	/// <remarks><para>For empty arrays, scalar or vectors, indices outside the current bounds for
1898	/// this array will expand this array to the size neccessary.
1899	/// For other arrays the sequential indices given must fit inside this arrays dimensions. </para></remarks>
1900	public virtual void SetRange(ILBaseArray<float> indices, ILDenseStorage<ElementType> values) {
1901	//if (object.Equals(indices,null))
1902	// throw new ILArgumentException("indices given must not be null");
1903	if (object.Equals(values, null))
1904	throw new ILArgumentException("values given must not be null. Use A[ind] = null; if removal was intended.");
1905	using (ILScope.Enter(indices)) {
1906	#region set full shortcut
1907	if (indices is ILFullRange \|\| object.Equals(indices, null)) {
1908	int pos;
1909	ElementType[] myArray = GetArrayForWrite();
1910	if (values.Size.NumberOfElements == 1) {
1911	pos = Size.NumberOfElements;
1912	ElementType val = values.GetValueTyped(0);
1913	while (pos-- > 0)
1914	myArray[pos] = val;
1915	} else {
1916	if (values.Size.NumberOfElements != Size.NumberOfElements)
1917	throw new ILArgumentException("number of elements in source must match number of elements in destination array");
1918	pos = 0;
1919	foreach (ElementType val in values) {
1920	myArray[pos++] = val;
1921	}
1922	}
1923	} else if (indices.Size.NumberOfElements != values.Size.NumberOfElements
1924	&& values.Size.NumberOfElements != 1)
1925	throw new ILArgumentException("number of elements in source must match number of elements in destination array");
1926	#endregion
1927	if (indices.IsEmpty)
1928	return;
1929	if (indices.Storage is ILDenseStorage< float>) {
1930
1931	float maxIndex, minIndex;
1932	ILDenseStorage< float> indStorage = indices.Storage as ILDenseStorage< float>;
1933	indStorage.GetLimits(out minIndex, out maxIndex);
1934	if (minIndex < 0)
1935	throw new ILArgumentException("sequential indices can not be negative");
1936	if ((int)maxIndex >= m_size.NumberOfElements) {
1937	// handle resize
1938	if (m_size.NumberOfDimensions == 2) {
1939	if (m_size.NumberOfElements <= 1) {
1940	// scalar or empty -> expand along 1
1941	ExpandArray(new int[] { (int)maxIndex + 1, 1 });
1942	} else if (m_size[0] > 1 && m_size[1] == 1) {
1943	ExpandArray(new int[] { (int)maxIndex + 1, 1 });
1944	} else if (m_size[0] == 1 && m_size[1] > 1) {
1945	ExpandArray(new int[] { 1, (int)maxIndex + 1 });
1946	} else
1947	throw new ILArgumentException("resizing array via sequential index access is supported for empty, scalar or vector only");
1948	} else
1949	throw new ILArgumentException("resizing array via sequential index access is supported for empty, scalar or vector only");
1950	}
1951	ElementType[] myArray = GetArrayForWrite();
1952
1953	float[] indArray = indStorage.GetArrayForRead();
1954
1955	int len = indices.Size.NumberOfElements;
1956	if (values.Size.NumberOfElements == 1) {
1957	ElementType scalarElement = values.GetValueTyped(0);
1958	for (int i = 0; i < len; ) {
1959	myArray[(int)indArray[i++]] = scalarElement;
1960	}
1961	} else {
1962	ElementType[] valArray = values.GetArrayForRead();
1963	for (int i = 0; i < len; ) {
1964	myArray[(int)indArray[i]] = valArray[i++];
1965	}
1966	}
1967	} else {
1968	throw new ILArgumentException("storage type of given indices is not supported");
1969	}
1970	}
1971	}
1972
1973	#endregion HYCALPER AUTO GENERATED CODE
1974
1975	/// <summary>
1976	/// Create referencing or solid array from this array, with shifted dimensions.
1977	/// </summary>
1978	/// <param name="shift">Number of dimensions to shift the array.</param>
1979	/// <returns>Shifted ILDenseStorage of the same type.</returns>
1980	/// <remarks><para>Shift is done 'to the left'.</para></remarks>
1981	public virtual ILDenseStorage<ElementType> ShiftDimensions (int shift) {
1982	return CreateShiftedStorage(shift);
1983	}
1984
1985	#endregion
1986
1987	#region Reshape, Concat, Repmat - overriding ILBaseArray<ElementType>
1988
1989	/// <summary>
1990	/// reshape <b>this</b> storage
1991	/// </summary>
1992	/// <param name="newDimensions">new dimensions of the storage.</param>
1993	/// <remarks><para>This storage will be changed! The operation is cheap, since the
1994	/// number of elements (and their values) do not change. The same countable array
1995	/// is used in conjunction with a new dimension specifier. </para>
1996	/// </remarks>
1997	/// <exception cref="ILNumerics.Exceptions.ILArgumentException">If the number of elements in 'newDimension'
1998	/// do not match the number of elements in this storage.</exception>
1999	internal void Reshape(ILSize newDimensions) {
2000	if (newDimensions.NumberOfElements != m_size.NumberOfElements)
2001	throw new ILArgumentSizeException ("the number of elements must not change");
2002	m_size = newDimensions;
2003	}
2004	/// <summary>
2005	/// reshape <b>this</b> storage
2006	/// </summary>
2007	/// <param name="dims">new dimension length of the storage.</param>
2008	/// <remarks><para>This storage will be changed! The operation is cheap, since the
2009	/// number of elements (and their values) do not change. The same underlying storage
2010	/// is used in conjunction with the new dimension specifier.</para>
2011	/// </remarks>
2012	/// <exception cref="ILNumerics.Exceptions.ILArgumentException">If the number of elements in 'newDimension'
2013	/// do not match the number of elements in this storage.</exception>
2014	public void Reshape(params int[] dims) {
2015	ILSize newDimension = new ILSize(dims);
2016	Reshape(newDimension);
2017	}
2018	/// <summary>
2019	/// concatenate this storage
2020	/// </summary>
2021	/// <param name="A">n dimensional storage</param>
2022	/// <param name="dim">Index of dimension along which to concatenate the arrays.
2023	/// If dim is larger than the number of dimensions of one of the arrays
2024	/// its value will be used in modulus.</param>
2025	/// <returns>Array having the size of both input arrays laid beside one
2026	/// another along the <paramref name="dim"/>'s-dimension</returns>
2027	/// <remarks>The array returned will be a copy of both arrays involved. None
2028	/// of the input arrays will be altered.</remarks>
2029	public virtual ILDenseStorage<ElementType> Concat(ILDenseStorage<ElementType> A, int dim) {
2030	ILSize inDim = A.m_size;
2031	for (int i = 0; i < Math.Max(inDim.NumberOfDimensions, m_size.NumberOfDimensions); i++) {
2032	if (i != dim)
2033	if (m_size[i] != inDim[i])
2034	throw new ILArgumentSizeException("the length of dimensions of both arrays (except the dimension "
2035	+ "to be concatenated) must match");
2036	}
2037	// concatenate
2038	if (inDim.NumberOfElements == 1 && m_size.NumberOfElements == 1) {
2039	// both scalars
2040	int[] dims = new int[2] { 1, 1 };
2041	dims[dim] = 2;
2042	ElementType[] retArr = ILMemoryPool.Pool.New<ElementType>(2);
2043	retArr[0] = m_data.Data[0];
2044	retArr[1] = A.m_data.Data[0];
2045	return CreateSelf(retArr, new ILSize(dims));
2046	}
2047	int lenOutArr = m_size.NumberOfElements + inDim.NumberOfElements;
2048	int[] retDims = m_size.ToIntArray(dim+1);
2049	retDims[dim] += inDim[dim];
2050	ILSize retDimension = new ILSize(retDims);
2051	ElementType[] retData = ILMemoryPool.Pool.New<ElementType>(retDimension.NumberOfElements);
2052	ElementType[] myData = GetArrayForRead();
2053	ElementType[] inData = A.GetArrayForRead();
2054
2055	int len1 = m_size.SequentialIndexDistance(dim + 1);
2056	int len2 = inDim.SequentialIndexDistance(dim + 1);
2057	int posOutArr = 0, inPos = 0, myPos = 0;
2058	while (posOutArr < lenOutArr) {
2059	for (int i = 0; i < len1; i++)
2060	retData[posOutArr++] = myData[myPos++];
2061	for (int i = 0; i < len2; i++)
2062	retData[posOutArr++] = inData[inPos++];
2063	}
2064	return CreateSelf(retData,retDimension);
2065	}
2066
2067	/// <summary>
2068	/// Replicate this storage to create a larger array.
2069	/// </summary>
2070	/// <param name="sizes">Sizes description. This may be a
2071	/// list or an array of integer values. If the number of elements in <paramref name="sizes"/> is
2072	/// less the number of dimensions in this array, the trailing dimensions will
2073	/// be set to 1 (singleton dimensions). On the other hand, if the number specified
2074	/// is larger then the number of dimensions of this array, the result
2075	/// will have its number of dimensions extended accordingly. </param>
2076	/// <returns>array which is made out of multiple copies of this array along
2077	/// specified dimensions, according to <paramref name="sizes"/>.</returns>
2078	internal virtual ILDenseStorage<ElementType> Repmat(params int[] sizes) {
2079	if (m_size.NumberOfElements == 0)
2080	return CreateSelf(new ILSize(sizes));
2081	ILRightSideRange rsRange = new ILRightSideRange(m_size, sizes);
2082	return CreateSubarrayStorage(rsRange);
2083
2084
2085	// experimental: via subindexing full dimensions
2086	//ILBaseArray[] dimArrays = new ILBaseArray[dims.Length];
2087	//for (int i = 0; i < dimArrays.Length; i++) {
2088	// dimArrays[i] = ILMath.cell(ILMath.full)[ILMath.zeros(1,dims[i])];
2089	//}
2090	//return Subarray(dimArrays);
2091
2092	//build return dimensions
2093	//int[] newDim = new int[Math.Max(dims.Length, m_dimensions.NumberOfDimensions)];
2094	//for (int d = 0; d < newDim.Length; d++) {
2095	// if (d < dims.Length) {
2096	// newDim[d] = m_dimensions[d] * dims[d];
2097	// } else {
2098	// newDim[d] = m_dimensions[d];
2099	// }
2100	//}
2101	//ILSize outDim = new ILSize(true, newDim);
2102	//if (m_dimensions.NumberOfElements == 0 \|\| outDim.NumberOfElements == 0)
2103	// return new ILDenseStorage<ElementType>(new ILCountableArray<ElementType>(0), outDim);
2104	//ILDenseStorage<ElementType> ret = new ILDenseStorage<ElementType>(
2105	// new ILCountableArray<ElementType>(outDim.NumberOfElements), outDim);
2106	//ElementType[] retArray = ret.GetArrayForWrite();
2107	//ElementType[] myArray = GetArrayForRead();
2108	//int[] outStrides = outDim.GetSequentialIndexDistances(m_dimensions.NumberOfDimensions);
2109	//int[] myStrides = m_dimensions.GetSequentialIndexDistances(m_dimensions.NumberOfDimensions);
2110	//retArray[0] = myArray[0];
2111	//if (outDim.NumberOfElements < ILNumerics.Settings.s_minParallelElement1Count) {
2112	// for (int outPos = 1; outPos < outDim.NumberOfElements; ) {
2113	// int inPos = 0;
2114	// for (int d = m_dimensions.NumberOfDimensions; d-- > 0; ) {
2115	// inPos += ((outPos / outStrides[d]) % m_dimensions[d])
2116	// * myStrides[d];
2117	// }
2118	// retArray[outPos++] = myArray[inPos];
2119	// }
2120	//} else {
2121	// System.Threading.Tasks.Parallel.For(1,outDim.NumberOfElements, i => {
2122	// int inPos = 0;
2123	// for (int d = m_dimensions.NumberOfDimensions; d-- > 0; ) {
2124	// inPos += ((i / outStrides[d]) % m_dimensions[d])
2125	// * myStrides[d];
2126	// }
2127	// retArray[i] = myArray[inPos];
2128	// });
2129	//}
2130	//return ret;
2131	}
2132
2133	/// <summary>
2134	/// Remove individual parts of a dimension from <b>this</b> storage
2135	/// </summary>
2136	/// <param name="dimension">index of the dimension, where <c>indices</c> are to be removed</param>
2137	/// <param name="indices">indices to be removed from <paramref name="dimension"/>, -1 for "wipe" (make this an empty storage)</param>
2138	/// <remarks>The function directly operates on <b>this</b> storage! After the function returns,
2139	/// this storage may have its dimensions changed!</remarks>
2140	internal virtual void Remove(int dimension, ILIntList indices) {
2141	using (ILScope.Enter()) {
2142	if (dimension >= Size.NumberOfDimensions)
2143	throw new ILArgumentException("index out of range");
2144	if (dimension == -1) {
2145	Data = new ILCountableArray<ElementType>(0);
2146	m_size = ILSize.Empty00;
2147	return;
2148	}
2149	// TODO: may should be replaced with a faster (&fancier? ) version... ??
2150	ILBaseArray[] dims = new ILBaseArray[Size.NumberOfDimensions];
2151	ILIntList keepInd = ILIntList.Create();
2152	ILIntList remvInd = indices;
2153	int max = Size[dimension];
2154	foreach (int i in indices)
2155	if (i >= max \|\| i < 0) throw new ILArgumentException("removal index out of range");
2156	for (int i = 0; i < max; i++) {
2157	if (!remvInd.Contains(i)) {
2158	keepInd.Add(i);
2159	}
2160	}
2161	// we give the indices to _keep_ to the subarray function
2162	int keepIndCount = keepInd.Count;
2163	ILArray<int> remIndices = ILMath.array<int>(keepInd.GetArray(), new ILSize(1, keepIndCount));
2164	if (remIndices.Size.NumberOfElements == Size[dimension]) {
2165	// nothing to do
2166	return;
2167	}
2168	for (int i = 0; i < dims.Length; i++) {
2169	dims[i] = ILMath.full;
2170	}
2171	dims[dimension] = remIndices;
2172	ILDenseStorage<ElementType> ret = Subarray(dims);
2173	Dispose(); // this will for reference element types (e.g. ILCell) also dispose the removed elements
2174
2175	Data = ret.Data;
2176	m_size = ret.Size;
2177
2178	}
2179	}
2180
2181	#endregion
2182
2183	#region serialize
2184	/// <summary>
2185	/// Prepare for serialization.
2186	/// </summary>
2187	/// <param name="context">Streaming Context - provided by the formatter.</param>
2188	/// <remarks>nothing to do here</remarks>
2189	[OnSerializing]
2190	private void OnSerialize(StreamingContext context) {
2191	}
2192
2193	/// <summary>
2194	/// Post operations aftre deserializing is finished.
2195	/// </summary>
2196	/// <param name="context">Streaming context provided by the formatter.</param>
2197	/// <remarks>nothing to do here</remarks>
2198	[OnDeserialized]
2199	void OnDeserialized(StreamingContext context) {
2200	}
2201
2202	#endregion
2203
2204	#region single element access
2205
2206	/// <summary>
2207	/// Get single value from this storage.
2208	/// </summary>
2209	/// <param name="idx">Integer array holding the dimension specifier</param>
2210	/// <returns>Element at the position pointed to by idx.</returns>
2211	internal override object GetValue(params int[] idx) {
2212	return GetValueTyped(idx);
2213	}
2214	/// <summary>
2215	/// Get single value from this storage.
2216	/// </summary>
2217	/// <param name="idx">Integer array holding the dimension specifier</param>
2218	/// <returns>Element at the position pointed to by idx.</returns>
2219	internal override ElementType GetValueTyped(params int[] idx) {
2220	if (idx.Length == 1)
2221	return m_data.Data[idx[0]];
2222	int destIdx = idx[0], d, highDims;
2223	if (destIdx >= m_size[0] \|\| destIdx < 0)
2224	throw new ILArgumentException("GetValue: index out of bound for dimensions: 0");
2225	int [] seqDist = m_size.GetSequentialIndexDistances(0);
2226	if (idx.Length <= m_size.NumberOfDimensions) {
2227	for (d = 1; d < idx.Length - 1; d++) {
2228	if (idx[d] >= m_size[d] \|\| idx[d] < 0)
2229	throw new ILArgumentException("GetValue: index out of bound for dimensions: " + d.ToString());
2230	destIdx += idx[d] * seqDist[d];
2231	}
2232	for (highDims = idx[d]; d<m_size.NumberOfDimensions && highDims > 0; d++) {
2233	destIdx += (highDims % m_size[d]) * seqDist[d];
2234	highDims /= m_size[d];
2235	}
2236	if (highDims > 0) throw new ILArgumentException ("GetValue: index out of bound!");
2237	return m_data.Data[destIdx];
2238	} else {
2239	highDims = m_size.NumberOfDimensions;
2240	for (d = 1; d < highDims; d++) {
2241	if (idx[d] >= m_size[d] \|\| idx[d] < 0)
2242	throw new ILArgumentException("GetValue: index out of bound for dimensions: " + d.ToString());
2243	destIdx += idx[d] * seqDist[d];
2244	}
2245	for (; d<idx.Length; d++) {
2246	if (idx[d] != 0)
2247	throw new ILArgumentException("GetValue: index out of bound for dimension: " + d.ToString() + ". Trailing indices must be 0!");
2248	}
2249	return m_data.Data[destIdx];
2250	}
2251	}
2252	internal override ILStorage GetValueAsStorage(params int[] innerIndices) {
2253	return new ILDenseStorage<ElementType>(new ElementType[1] { GetValueTyped(innerIndices) }, ILSize.Scalar1_1);
2254	}
2255	internal override ILBaseArray GetAsBaseArray() {
2256	return new ILRetArray<ElementType>((ILDenseStorage<ElementType>)Clone());
2257	}
2258
2259	/// <summary>
2260	/// Get single value from this storage by a single sequential access.
2261	/// </summary>
2262	/// <param name="idx">Integer array holding the dimension specifier
2263	/// pointing to the value.</param>
2264	/// <param name="dims">Out value: return position mapped to dimensions.</param>
2265	/// <returns>Object in the position pointed to by idx.</returns>
2266	/// <remarks>dims is the final position into the array for the sequential index specification <c>idx</c>.</remarks>
2267	internal override object GetValueSeq(int idx, ref int[] dims) {
2268	int IdxCpy = idx;
2269	for (int d = 0; d<m_size.NumberOfDimensions; d++) {
2270	dims[d] = (IdxCpy % m_size[d]);
2271	IdxCpy /= m_size[d]; // must go to end, to fully clear dims
2272	}
2273	return m_data.Data[idx];
2274	}
2275	/// <summary>
2276	/// Set single value to element at the specified index.
2277	/// </summary>
2278	/// <param name="value">New value.</param>
2279	/// <param name="idx">Index of the element to be altered.</param>
2280	internal override void SetValue(object value, params int[] idx) {
2281	try {
2282	SetValueTyped((ElementType)value, idx);
2283	} catch (InvalidCastException) {
2284	SetValueTyped((ElementType)Convert.ChangeType(value, typeof(ElementType)), idx);
2285	}
2286	}
2287	/// <summary>
2288	/// Set value of element at the specified position.
2289	/// </summary>
2290	/// <param name="value">new value</param>
2291	/// <param name="idx">position of the element to be altered</param>
2292	/// <remarks><para>This function does support automatic expansion of the array
2293	/// if indices lay outside the dimension limits of the array. However, because
2294	/// of ambiguity reasons this is not reliable supported for vector sized arrays.</para></remarks>
2295	internal override void SetValueTyped(ElementType value, params int[] idx) {
2296	try {
2297	if (idx.Length < 2) {
2298	if (idx.Length == 1) {
2299	if (idx[0] >= m_size.NumberOfElements)
2300	throw new IndexOutOfRangeException();
2301	GetArrayForWrite()[idx[0]] = value;
2302	}
2303	return;
2304	}
2305	int i = m_size.IndexFromArray(idx);
2306	if (i >= m_size.NumberOfElements)
2307	throw new IndexOutOfRangeException();
2308	GetArrayForWrite()[i] = (ElementType)value;
2309	} catch (Exception exc) {
2310	if (exc is ILArgumentException
2311	\|\| exc is IndexOutOfRangeException ) {
2312	// expanding ?
2313	int [] dimensions = m_size.ToIntArray(Math.Max(idx.Length,m_size.NumberOfDimensions));
2314	bool mustExpand = false;
2315	int i = m_size.IndexFromArray(ref mustExpand, ref dimensions, idx);
2316	if (mustExpand) {
2317	ExpandArray(dimensions);
2318	m_data.Data[i] = value;
2319	} else {
2320	throw;
2321	}
2322	}
2323	}
2324	}
2325
2326	/// <summary>
2327	/// [depricated] Convert index array into sequential index for storage access.
2328	/// </summary>
2329	/// <param name="idx">int array with dimension specification.</param>
2330	/// <returns>Index of requested value inside the solid storage. This
2331	/// value can directly be used to query the corresponding value via GetArrayForRead()[return_value].
2332	/// </returns>
2333	/// <remarks><b>This function is deprecated! Use <see cref="ILNumerics.ILSize.IndexFromArray(int[])"/> instead!</b><br/>
2334	/// If the length of idx is smaler than the number of dimensions
2335	/// of this storage, the trailing dimensions will be replaced with "0". I.e
2336	/// the first index of each non specified dimension will be used.
2337	/// If length of idx is larger than the dimensions of this storage, the behavior
2338	/// is undefined. Therefore this function should be enclosed in try, catch blocks
2339	/// to handle this case!</remarks>
2340	internal int getBaseIndex(params int[] idx) {
2341	// arghs! -> ugly! piuh!!
2342	if (idx == null) throw new ILArgumentException("indices specified must not be null");
2343	if (idx.Length < m_size.NumberOfDimensions) {
2344	bool dummy;
2345	int [] tmp = ILMemoryPool.Pool.New<int>(m_size.NumberOfDimensions,true, out dummy);
2346	for (int i = 0; i < idx.Length; i++) {
2347	tmp[i] = idx[i];
2348	}
2349	return m_size.IndexFromArray(tmp);
2350	}
2351	return m_size.IndexFromArray(idx);
2352	}
2353	/// <summary>
2354	/// [depricated] Convert index array into sequential index for storage access. Ommit any bound checking.
2355	/// </summary>
2356	/// <param name="idx">int array with dimensions specification.</param>
2357	/// <param name="MustExpand">Output parameter. On return determine, if the index
2358	/// specification points outside of the dimensions of this ILDenseStorage and the array
2359	/// must be expanded before accessing elements on that position.</param>
2360	/// <param name="dimensions">if the array was found to be expanded, this are the
2361	/// needed dimension sizes for the new array. The sizes are computed from the range
2362	/// specification given.</param>
2363	/// <returns>Index of requested value inside the solid storage. This
2364	/// value may directly be used to query the value via m_data[return_value].
2365	/// The value returned is valid for solid storages as well as for reference
2366	/// storages.
2367	/// </returns>
2368	/// <remarks>
2369	/// <para>idx must be not null and must contain at least one element.</para>
2370	/// <para>If the length of idx is smaler than the number of dimensions
2371	/// of this storage, the trailing dimensions will be replaced with "0". I.e
2372	/// the first index of each non specified dimensions will be used.
2373	/// If length of idx is larger than the dimensions of this storage, the index of
2374	/// the expanded array will be returned.</para></remarks>
2375	internal int getBaseIndex(ref bool MustExpand, ref int[] dimensions, params int[] idx) {
2376	int destIdx = 0;
2377	if (idx.Length == 1) {
2378	destIdx = idx[0];
2379	if (destIdx < 0)
2380	throw new ILArgumentException("check index for dimension 0!");
2381	if (destIdx >= m_size.NumberOfElements) {
2382	MustExpand = true;
2383	dimensions[0] = destIdx + 1;
2384	}
2385	return destIdx;
2386	}
2387	return m_size.IndexFromArray(ref MustExpand, ref dimensions, idx);
2388	}
2389	/// <summary>
2390	/// Copy values of all elements into System.Array.
2391	/// </summary>
2392	/// <param name="result">System.Array, holding all element values of this ILDenseStorage.</param>
2393	/// <remarks>The System.Array may be predefined. If its length is sufficient, it will be used and
2394	/// its leading elements will be overwritten when function returns. If 'result' is null or has too few elements,
2395	/// it will be recreated from the ILNumerics memory pool.</remarks>
2396	public void ExportValues(ref ElementType[] result) {
2397	if (result == null \|\| result.Length < m_size.NumberOfElements)
2398	result = ILMemoryPool.Pool.New<ElementType>(m_size.NumberOfElements);
2399	int pos = 0;
2400	foreach (ElementType v in this) {
2401	result[pos++] = v;
2402	}
2403	}
2404	/// <summary>
2405	/// Get direct reference to inner System.Array storage for <b>write access</b>
2406	/// </summary>
2407	/// <returns>reference to inner System.Array</returns>
2408	/// <remarks>Altering this array can be done directly. If necessary, the array is detached before
2409	/// returned. Watch the column order format of storages in ILNumerics! Keep in minds, the length
2410	/// of the array may exceeds the number of elements.
2411	/// <para>Accessing the inner system array directly should be left to ILNumerics experts only!
2412	/// Unless you really know, what you are doing, you should rather use the higher order access
2413	/// methods provided by ILArray<T>! (You have been warned!)</para></remarks>
2414	internal ElementType[] GetArrayForWrite() {
2415	if (m_data.ReferenceCount > 1) {
2416	Detach();
2417	}
2418	return m_data.Data;
2419	}
2420	/// <summary>
2421	/// Get direct reference to inner System.Array storage for <b>read access</b>
2422	/// </summary>
2423	/// <returns>reference to inner System.Array for reading</returns>
2424	/// <remarks>This method is provided for experts only! Altering elements of this
2425	/// array may cause the data to be invalidated or corrupted! Use this array only for reading! Note
2426	/// the ILNumerics array storage format (column major). Keep in mind, the length
2427	/// of the array may exceeds the number of elements!
2428	/// <para>Accessing the inner system array directly should be left to ILNumerics experts only!
2429	/// Unless you really know, what you are doing, you should rather use the higher order access
2430	/// methods provided by ILArray<T>! (You have been warned!)</para></remarks>
2431	internal ElementType[] GetArrayForRead() {
2432	//if (PendingTasks > 0)
2433	// System.Threading.SpinWait.SpinUntil(() => { return PendingTasks == 0; });
2434	return m_data.Data;
2435	}
2436
2437	#endregion
2438
2439	/// <summary>
2440	/// Create lazy,shallow copy of this array
2441	/// </summary>
2442	/// <returns>ILDenseStorage as copy of this storage.</returns>
2443	/// <remarks>The ILDenseStorage object returned will be of the same size and type than this object.
2444	/// <para>The copy is done lazy. This means, the new storage will at first share the memory
2445	/// with that storage. This will take almost no memory / processor time. As soon as attempts
2446	/// are made to <b>alter</b> the new storage, it will be detached from this storage and use own memeory.</para></remarks>
2447	internal override ILStorage Clone() {
2448	return CreateSelf(m_data,m_size);
2449	}
2450	internal ILCountableArray<ElementType> GetDataArray() {
2451	return m_data;
2452	}
2453	internal virtual void IndexSubrange(ILDenseStorage<ElementType> value, ILBaseArray[] range) {
2454	using (ILScope.Enter(range)) {
2455	if (Object.ReferenceEquals(value, null) \|\| value.Size.NumberOfElements == 0) {
2456	#region remove
2457	if (range == null) return;
2458
2459	ILLeftSideRange rng = new ILLeftSideRange(Size, range);
2460	if (rng.Expanding) {
2461	throw new ILArgumentException("invalid range for removal specified");
2462	}
2463	if (rng.Size.NumberOfElements == 0) {
2464	return;
2465	}
2466	int nonFullDims = 0;
2467	int dimIdx = -1;
2468	// check validity
2469	for (int i = 0; i < rng.RangeArray.Length; i++) {
2470	if (rng[i].Count != 1 \|\| rng[i][0] >= 0) {
2471	if (++nonFullDims > 1)
2472	throw new ILArgumentException("for removal only one dimension can be 'non-full'");
2473	dimIdx = i;
2474	foreach (int ind in rng[i]) {
2475	if (ind < 0) {
2476	throw new ILArgumentException("invalid removal indices: all but at most one dimensions must be specified as 'full'. check dimension #" + i.ToString());
2477	}
2478	}
2479	}
2480	}
2481	// remove
2482	ILSize newDim = new ILSize(Size.ToIntArrayEx(rng.RangeArray.Length));
2483	ILSize oldDimensions = Size;
2484	try {
2485	Reshape(newDim); // <- cheap!
2486	if (dimIdx >= 0) {
2487	Remove(dimIdx, rng[dimIdx]); // <- expensive!
2488	} else {
2489	// all dims full specified
2490	Remove(dimIdx, null); // <- expensive!
2491	}
2492	} catch (Exception) {
2493	Reshape(oldDimensions);
2494	throw;
2495	}
2496	#endregion
2497	} else {
2498	#region setrange
2499	if (range == null \|\| range.Length == 0) {
2500	return;
2501	} else if (range.Length == 1) {
2502	if (range[0] is ILDenseArray<double>) {
2503	SetRange(range[0] as ILDenseArray<double>, value);
2504	return;
2505	} else if (range[0] is ILDenseArray<string>) {
2506	// special case? A[":;0:3;0:end;..."] -> multiple dimensions given as single string
2507	string indStr = (string)(range[0] as ILDenseArray<string>).GetValue(0);
2508	string[] dimParts = indStr.Split(';');
2509	if (dimParts.Length == 0) {
2510	// empty range given
2511	return;
2512	} else if (dimParts.Length > 1) {
2513	range = new ILBaseArray[dimParts.Length];
2514	for (int i = 0; i < dimParts.Length; i++) {
2515	range[i] = dimParts[i];
2516	}
2517	// re-enter function to push the new arrays into scope
2518	IndexSubrange(value,range);
2519	return;
2520	} else {
2521	ILBaseArray indices = ILRange.ParseDimension(indStr, Size.NumberOfElements);
2522	if (indices is ILBaseArray<Misc.ILFullRange>) {
2523	SetRangeFull(value);
2524	} else {
2525	SetRange(indices as ILDenseArray<int>, value);
2526	}
2527	return;
2528	}
2529	} else if (range[0] is ILDenseArray<float>) {
2530	SetRange(range[0] as ILDenseArray<float>, value);
2531	return;
2532	} else if (range[0] is ILDenseArray<Int32>) {
2533	SetRange(range[0] as ILDenseArray<Int32>, value);
2534	return;
2535	} else if (range[0] is ILDenseArray<Int64>) {
2536	SetRange(range[0] as ILDenseArray<Int64>, value);
2537	return;
2538	} else if (range[0] is ILLogical) {
2539	SetRange(ILNumerics.ILMath.find(range[0] as ILLogical), value);
2540	return;
2541	} else if (range[0] is ILRetLogical) {
2542	SetRange(ILNumerics.ILMath.find(range[0] as ILRetLogical), value);
2543	return;
2544	}
2545	}
2546	ILLeftSideRange rng = new ILLeftSideRange(Size, range);
2547	if (rng.Expanding) {
2548	ExpandArray(rng);
2549	}
2550	SetRange(rng, value);
2551	#endregion
2552	}
2553	}
2554	}
2555
2556	#region IEnumerable<ILBaseArray<ElementType>> Member
2557
2558	/// <summary>
2559	/// enumerator returning elements as ElementType
2560	/// </summary>
2561	public override IEnumerator<ElementType> GetEnumerator ( ) {
2562	int len = m_size.NumberOfElements;
2563	ElementType[] myData = GetArrayForRead();
2564	for (int i = 0; i < len; i++)
2565	yield return myData[i];
2566	}
2567	#endregion
2568
2569	#region private helper
2570	/// <summary>
2571	/// helper function to gather some parameters for partial dimension removal
2572	/// </summary>
2573	/// <param name="rng">object with index specifications. May be of
2574	/// type ILBaseArray[] with numeric arrays or a string array according
2575	/// to the format of <see cref="ILNumerics.Storage.ILRange"/>.
2576	/// </param>
2577	/// <param name="dimensionIdx">Out parameter: index of dimension the indices to be removed lie in.</param>
2578	/// <param name="indices">Indices to be removed.</param>
2579	/// <param name="dimensions">Dimension structure, can be used to reshape the storage <b>before</b> the removal</param>
2580	/// <remarks>If range comprises a range dimension specification which is smaller than
2581	/// the actual number of dimension of this storage, the storage must be reshaped in advance of the removal.
2582	/// This reshaping proccess will <b>not</b> be done inside this function! However
2583	/// the <c>dimension</c> value returned reflects the size of the storage before removing and therefore
2584	/// can be utilized for reshaping the storage.</remarks>
2585	/// <exception cref="ILNumerics.Exceptions.ILArgumentException">If:<list type="bullet">
2586	/// <item>The length of range exceeds the dimensions of this storage.</item>
2587	/// <item>More than one or less than one dimension of <c>range</c> was not null.</item>
2588	/// <item>The type of range was invalid, or</item>
2589	/// <item>Range is of type <see cref="ILNumerics.ILBaseArray"/>, but the element type is not numeric</item>
2590	/// </list></exception>
2591	internal void ExtractRemovalParameter(ILBaseArray[] rng, out int dimensionIdx, ref ILIntList indices, out ILSize dimensions) {
2592	dimensionIdx = 0;
2593	dimensions = null;
2594	if (rng.Length > m_size.NumberOfDimensions)
2595	throw new ILArgumentException("Error removing: dimension specification exceeds matrix dimensions.");
2596	int specCount = 0;
2597	int tmp = 0;
2598	if (rng.Length == 1 && rng[0] is ILBaseArray<string>) {
2599	string allRangeString = (string)(rng[0] as ILBaseArray<string>).GetValue(0);
2600	string[] ranges = allRangeString.Split(';');
2601	if (ranges.Length > 1) {
2602	rng = new ILBaseArray[ranges.Length];
2603	for (int i = 0; i < ranges.Length; i++) {
2604	rng[i] = ranges[i];
2605	}
2606	}
2607	}
2608	int[] outDim = Size.GetReshapedSize(rng.Length);
2609	for (int i = 0; i < rng.Length; i++) {
2610	if (object.Equals(rng[i], null)) {
2611	// nothing to remove
2612	if (indices != null) {
2613	indices.Clear();
2614	}
2615	return;
2616	} else if (!rng[i].IsEmpty) {
2617	if (rng[i] is ILDenseArray<string>) {
2618	string stringVal = (rng[i] as ILDenseArray<string>).GetValue(0);
2619	ILBaseArray indFromString = ILRange.ParseDimension(stringVal,outDim[i]);
2620	if (!(indFromString is ILBaseArray<ILFullRange>)) {
2621	if (specCount++ > 0) {
2622	throw new ILArgumentException("only one dimension can be non-fully specified for removal");
2623	}
2624	dimensionIdx = i;
2625	indices = new ILIntList(indFromString as ILDenseArray<int>);
2626	}
2627	continue;
2628	}
2629	dimensionIdx = i;
2630	if (specCount++ > 0) {
2631	throw new ILArgumentException("only one dimension can be non-fully specified for removal");
2632	}
2633	if (rng[i] is ILBaseArray<Expression>) {
2634	// A[end + ...] given
2635	Expression expr = (rng[i] as ILBaseArray<Expression>).GetValue(0);
2636	int exprVal = ILExpression.Evaluate(expr, Size[i] - 1);
2637	indices = ILIntList.Create();
2638	for (int p = 0; p < tmp; p++) {
2639	indices.Add(exprVal);
2640	}
2641	} else if (rng[i] is ILLogical) {
2642	ILArray<double> ind = ILNumerics.ILMath.find((ILLogical) rng[i]);
2643	tmp = ind.Size.NumberOfElements;
2644	indices = ILIntList.Create();
2645	for (int p = 0; p < tmp; p++) {
2646	indices.Add((int)ind.GetValue(p));
2647	}
2648	} else if (rng[i] is ILRetLogical) {
2649	ILArray<double> ind = ILNumerics.ILMath.find((ILRetLogical) rng[i]);
2650	tmp = ind.Size.NumberOfElements;
2651	indices = ILIntList.Create();
2652	for (int p = 0; p < tmp; p++) {
2653	indices.Add((int)ind.GetValue(p));
2654	}
2655
2656	/* !HC:TYPELIST:
2657	<hycalper>
2658	<type>
2659	<source locate="after">
2660	inArr1
2661	</source>
2662	<destination>float</destination>
2663	<destination>Int16</destination>
2664	<destination>Int32</destination>
2665	<destination>Int64</destination>
2666	<destination>byte</destination>
2667	</type>
2668	</hycalper>
2669	*/
2670
2671	} else if (rng[i] is ILDenseArray<double> ) {
2672	ILDenseArray<double> ind = rng[i] as ILDenseArray<double> ;
2673	tmp = ind.Size.NumberOfElements;
2674	indices = ILIntList.Create();
2675	for (int p = 0; p < tmp; p++) {
2676	indices.Add((int)ind.GetValue(p));
2677	}
2678
2679	#region HYCALPER AUTO GENERATED CODE
2680
2681	/* !HC:TYPELIST:
2682
2683	*/
2684
2685	} else if (rng[i] is ILDenseArray<byte> ) {
2686	ILDenseArray<byte> ind = rng[i] as ILDenseArray<byte> ;
2687	tmp = ind.Size.NumberOfElements;
2688	indices = ILIntList.Create();
2689	for (int p = 0; p < tmp; p++) {
2690	indices.Add((int)ind.GetValue(p));
2691	}
2692	/* !HC:TYPELIST:
2693
2694	*/
2695
2696	} else if (rng[i] is ILDenseArray<Int64> ) {
2697	ILDenseArray<Int64> ind = rng[i] as ILDenseArray<Int64> ;
2698	tmp = ind.Size.NumberOfElements;
2699	indices = ILIntList.Create();
2700	for (int p = 0; p < tmp; p++) {
2701	indices.Add((int)ind.GetValue(p));
2702	}
2703	/* !HC:TYPELIST:
2704
2705	*/
2706
2707	} else if (rng[i] is ILDenseArray<Int32> ) {
2708	ILDenseArray<Int32> ind = rng[i] as ILDenseArray<Int32> ;
2709	tmp = ind.Size.NumberOfElements;
2710	indices = ILIntList.Create();
2711	for (int p = 0; p < tmp; p++) {
2712	indices.Add((int)ind.GetValue(p));
2713	}
2714	/* !HC:TYPELIST:
2715
2716	*/
2717
2718	} else if (rng[i] is ILDenseArray<Int16> ) {
2719	ILDenseArray<Int16> ind = rng[i] as ILDenseArray<Int16> ;
2720	tmp = ind.Size.NumberOfElements;
2721	indices = ILIntList.Create();
2722	for (int p = 0; p < tmp; p++) {
2723	indices.Add((int)ind.GetValue(p));
2724	}
2725	/* !HC:TYPELIST:
2726
2727	*/
2728
2729	} else if (rng[i] is ILDenseArray<float> ) {
2730	ILDenseArray<float> ind = rng[i] as ILDenseArray<float> ;
2731	tmp = ind.Size.NumberOfElements;
2732	indices = ILIntList.Create();
2733	for (int p = 0; p < tmp; p++) {
2734	indices.Add((int)ind.GetValue(p));
2735	}
2736
2737	#endregion HYCALPER AUTO GENERATED CODE
2738	} else
2739	throw new ILArgumentTypeException("error removing: invalid dimensions specifier, dimension #" + i.ToString());
2740	}
2741	}
2742	if (indices == null) {
2743	dimensionIdx = 0;
2744	dimensions = m_size;
2745	//indices = new int[0] { };
2746	return;
2747	}
2748	// if only one dimension specified -> make row vector
2749	//if (rng.Length < 2) {
2750	// outDim[1] = outDim[0];
2751	// outDim[0] = 1;
2752	// dimensionIdx = 1;
2753	//}
2754	dimensions = new ILSize(outDim);
2755	}
2756
2757	/// <summary>
2758	/// Expanded <b>this</b> storage for index addressing outside of my dimensions
2759	/// </summary>
2760	/// <param name="range">range specification with size for destination array</param>
2761	internal void ExpandArray (ILLeftSideRange range) {
2762	int[] outDims;
2763	int i= 0;
2764	ILSize outDimensions;
2765	if (range.Size.NumberOfDimensions > m_size.NumberOfDimensions) {
2766	outDims = new int[range.Size.NumberOfDimensions];
2767	for (; i < m_size.NumberOfDimensions; i ++) {
2768	outDims[i] = (range.ExpandDimensions[i] > m_size[i]) ?
2769	range.ExpandDimensions[i] : m_size[i];
2770	}
2771	for(; i < range.Size.NumberOfDimensions; i++)
2772	outDims[i] = range.ExpandDimensions[i];
2773	} else {
2774	outDims = new int[m_size.NumberOfDimensions];
2775	for (; i < range.Size.NumberOfDimensions; i ++) {
2776	outDims[i] = (range.ExpandDimensions[i] > m_size[i]) ?
2777	range.ExpandDimensions[i] : m_size[i];
2778	}
2779	for(; i < m_size.NumberOfDimensions; i++)
2780	outDims[i] = m_size[i];
2781	}
2782	outDimensions = new ILSize(outDims);
2783	ElementType [] outData = ILMemoryPool.Pool.New<ElementType>(outDimensions.NumberOfElements);
2784	// transfer old data to new array
2785	int [] tmpIdx = new int[outDims.Length];
2786	for (i = 0; i < m_size.NumberOfElements; i++) {
2787	ElementType tmp = (ElementType)GetValueSeq(i,ref tmpIdx);
2788	outData[outDimensions.IndexFromArray(tmpIdx)] = tmp;
2789	}
2790	// exchange my data
2791	Data = new ILCountableArray<ElementType>(outData, outDimensions.NumberOfElements);
2792	m_size = outDimensions;
2793	}
2794	/// <summary>
2795	/// Expand <b>this</b> storage for index addressing outside of my dimensions
2796	/// </summary>
2797	/// <param name="indices">sizes of dimensions for the new storage</param>
2798	protected void ExpandArray(int[] indices) {
2799	if (indices.Length == 2 && (indices[0] * indices[1] == 0)) {
2800	if (indices[0] > 0)
2801	indices[1] = 1;
2802	else if (indices[1] > 0)
2803	indices[0] = 1;
2804	}
2805	ILSize outDimensions = new ILSize(indices);
2806	bool cleared;
2807	ElementType [] outData = ILMemoryPool.Pool.New<ElementType>(outDimensions.NumberOfElements,true,out cleared);
2808	// transfer old data to new array
2809	int [] tmpIdx = new int[indices.Length];
2810	for (int i = 0; i < m_size.NumberOfElements; i++) {
2811	ElementType tmpData = (ElementType)GetValueSeq(i,ref tmpIdx);
2812	outData[outDimensions.IndexFromArray(tmpIdx)] = tmpData;
2813	}
2814	// replace with my data
2815	Data = new ILCountableArray<ElementType>(outData,outDimensions.NumberOfElements);
2816	m_size = outDimensions;
2817	}
2818	/// <summary>
2819	/// Copy upper triangular part of this array into new solid array.
2820	/// </summary>
2821	/// <param name="n">Length of first dimension of destination array.</param>
2822	/// <returns>Solid array of size [n x {ThisColumnCount})].</returns>
2823	internal ILDenseStorage<ElementType> copyUpperTriangle(int n) {
2824	ILDenseStorage<ElementType> ret = new ILDenseStorage<ElementType>(new ILSize(n,n));
2825	ElementType[] arr = ret.GetArrayForWrite();
2826	ElementType[] myData = GetArrayForRead();
2827	if (m_size[0] == n) {
2828	for (int rcount = 0 , pos = 0; rcount < n; rcount++) {
2829	for (int i = 0; i <= rcount; i++) {
2830	arr[pos] = myData[pos++];
2831	}
2832	pos += (n - rcount - 1);
2833	}
2834	} else {
2835	for (int rcount = 0 , posIn = 0, posOut = 0, lenA = m_size[0]; rcount < n; rcount++) {
2836	for (int i = 0; i <= rcount; i++) {
2837	arr[posOut++] = myData[posIn++];
2838	}
2839	posOut += (n - rcount - 1);
2840	posIn += (lenA - rcount - 1);
2841	}
2842	}
2843	return ret;
2844	}
2845	/// <summary>
2846	/// Copy lower triangular part of this array into new solid array.
2847	/// </summary>
2848	/// <returns>Solid array of same size than this array.</returns>
2849	/// <remarks>If this is not a 2D array, only the first dimension is referenced.</remarks>
2850	internal ILDenseStorage<ElementType> copyLowerTriangle() {
2851	int n = m_size[0],pos = 0;
2852	ILDenseStorage<ElementType> ret = new ILDenseStorage<ElementType>(new ILSize(n,n));
2853	ElementType[] arr = ret.GetArrayForRead();
2854	ElementType[] myData = GetArrayForRead();
2855	for (int c = 0; c < m_size[1]; c++) {
2856	pos += c;
2857	for (int r = c; r < n; r++,pos++) {
2858	arr[pos] = myData[pos];
2859	pos++;
2860	}
2861	}
2862	return ret;
2863	}
2864
2865	#endregion
2866
2867	}
2868	}

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