1: *> \brief \b ILAENV
2: *
3: * =========== DOCUMENTATION ===========
4: *
5: * Online html documentation available at
6: * http://www.netlib.org/lapack/explore-html/
7: *
8: *> \htmlonly
9: *> Download ILAENV + dependencies
10: *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/ilaenv.f">
11: *> [TGZ]</a>
12: *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/ilaenv.f">
13: *> [ZIP]</a>
14: *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/ilaenv.f">
15: *> [TXT]</a>
16: *> \endhtmlonly
17: *
18: * Definition:
19: * ===========
20: *
21: * INTEGER FUNCTION ILAENV( ISPEC, NAME, OPTS, N1, N2, N3, N4 )
22: *
23: * .. Scalar Arguments ..
24: * CHARACTER*( * ) NAME, OPTS
25: * INTEGER ISPEC, N1, N2, N3, N4
26: * ..
27: *
28: *
29: *> \par Purpose:
30: * =============
31: *>
32: *> \verbatim
33: *>
34: *> ILAENV is called from the LAPACK routines to choose problem-dependent
35: *> parameters for the local environment. See ISPEC for a description of
36: *> the parameters.
37: *>
38: *> ILAENV returns an INTEGER
39: *> if ILAENV >= 0: ILAENV returns the value of the parameter specified by ISPEC
40: *> if ILAENV < 0: if ILAENV = -k, the k-th argument had an illegal value.
41: *>
42: *> This version provides a set of parameters which should give good,
43: *> but not optimal, performance on many of the currently available
44: *> computers. Users are encouraged to modify this subroutine to set
45: *> the tuning parameters for their particular machine using the option
46: *> and problem size information in the arguments.
47: *>
48: *> This routine will not function correctly if it is converted to all
49: *> lower case. Converting it to all upper case is allowed.
50: *> \endverbatim
51: *
52: * Arguments:
53: * ==========
54: *
55: *> \param[in] ISPEC
56: *> \verbatim
57: *> ISPEC is INTEGER
58: *> Specifies the parameter to be returned as the value of
59: *> ILAENV.
60: *> = 1: the optimal blocksize; if this value is 1, an unblocked
61: *> algorithm will give the best performance.
62: *> = 2: the minimum block size for which the block routine
63: *> should be used; if the usable block size is less than
64: *> this value, an unblocked routine should be used.
65: *> = 3: the crossover point (in a block routine, for N less
66: *> than this value, an unblocked routine should be used)
67: *> = 4: the number of shifts, used in the nonsymmetric
68: *> eigenvalue routines (DEPRECATED)
69: *> = 5: the minimum column dimension for blocking to be used;
70: *> rectangular blocks must have dimension at least k by m,
71: *> where k is given by ILAENV(2,...) and m by ILAENV(5,...)
72: *> = 6: the crossover point for the SVD (when reducing an m by n
73: *> matrix to bidiagonal form, if max(m,n)/min(m,n) exceeds
74: *> this value, a QR factorization is used first to reduce
75: *> the matrix to a triangular form.)
76: *> = 7: the number of processors
77: *> = 8: the crossover point for the multishift QR method
78: *> for nonsymmetric eigenvalue problems (DEPRECATED)
79: *> = 9: maximum size of the subproblems at the bottom of the
80: *> computation tree in the divide-and-conquer algorithm
81: *> (used by xGELSD and xGESDD)
82: *> =10: ieee NaN arithmetic can be trusted not to trap
83: *> =11: infinity arithmetic can be trusted not to trap
84: *> 12 <= ISPEC <= 16:
85: *> xHSEQR or one of its subroutines,
86: *> see IPARMQ for detailed explanation
87: *> \endverbatim
88: *>
89: *> \param[in] NAME
90: *> \verbatim
91: *> NAME is CHARACTER*(*)
92: *> The name of the calling subroutine, in either upper case or
93: *> lower case.
94: *> \endverbatim
95: *>
96: *> \param[in] OPTS
97: *> \verbatim
98: *> OPTS is CHARACTER*(*)
99: *> The character options to the subroutine NAME, concatenated
100: *> into a single character string. For example, UPLO = 'U',
101: *> TRANS = 'T', and DIAG = 'N' for a triangular routine would
102: *> be specified as OPTS = 'UTN'.
103: *> \endverbatim
104: *>
105: *> \param[in] N1
106: *> \verbatim
107: *> N1 is INTEGER
108: *> \endverbatim
109: *>
110: *> \param[in] N2
111: *> \verbatim
112: *> N2 is INTEGER
113: *> \endverbatim
114: *>
115: *> \param[in] N3
116: *> \verbatim
117: *> N3 is INTEGER
118: *> \endverbatim
119: *>
120: *> \param[in] N4
121: *> \verbatim
122: *> N4 is INTEGER
123: *> Problem dimensions for the subroutine NAME; these may not all
124: *> be required.
125: *> \endverbatim
126: *
127: * Authors:
128: * ========
129: *
130: *> \author Univ. of Tennessee
131: *> \author Univ. of California Berkeley
132: *> \author Univ. of Colorado Denver
133: *> \author NAG Ltd.
134: *
135: *> \date November 2011
136: *
137: *> \ingroup auxOTHERauxiliary
138: *
139: *> \par Further Details:
140: * =====================
141: *>
142: *> \verbatim
143: *>
144: *> The following conventions have been used when calling ILAENV from the
145: *> LAPACK routines:
146: *> 1) OPTS is a concatenation of all of the character options to
147: *> subroutine NAME, in the same order that they appear in the
148: *> argument list for NAME, even if they are not used in determining
149: *> the value of the parameter specified by ISPEC.
150: *> 2) The problem dimensions N1, N2, N3, N4 are specified in the order
151: *> that they appear in the argument list for NAME. N1 is used
152: *> first, N2 second, and so on, and unused problem dimensions are
153: *> passed a value of -1.
154: *> 3) The parameter value returned by ILAENV is checked for validity in
155: *> the calling subroutine. For example, ILAENV is used to retrieve
156: *> the optimal blocksize for STRTRI as follows:
157: *>
158: *> NB = ILAENV( 1, 'STRTRI', UPLO // DIAG, N, -1, -1, -1 )
159: *> IF( NB.LE.1 ) NB = MAX( 1, N )
160: *> \endverbatim
161: *>
162: * =====================================================================
163: INTEGER FUNCTION ILAENV( ISPEC, NAME, OPTS, N1, N2, N3, N4 )
164: *
165: * -- LAPACK auxiliary routine (version 3.4.0) --
166: * -- LAPACK is a software package provided by Univ. of Tennessee, --
167: * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
168: * November 2011
169: *
170: * .. Scalar Arguments ..
171: CHARACTER*( * ) NAME, OPTS
172: INTEGER ISPEC, N1, N2, N3, N4
173: * ..
174: *
175: * =====================================================================
176: *
177: * .. Local Scalars ..
178: INTEGER I, IC, IZ, NB, NBMIN, NX
179: LOGICAL CNAME, SNAME
180: CHARACTER C1*1, C2*2, C4*2, C3*3, SUBNAM*6
181: * ..
182: * .. Intrinsic Functions ..
183: INTRINSIC CHAR, ICHAR, INT, MIN, REAL
184: * ..
185: * .. External Functions ..
186: INTEGER IEEECK, IPARMQ
187: EXTERNAL IEEECK, IPARMQ
188: * ..
189: * .. Executable Statements ..
190: *
191: GO TO ( 10, 10, 10, 80, 90, 100, 110, 120,
192: $ 130, 140, 150, 160, 160, 160, 160, 160 )ISPEC
193: *
194: * Invalid value for ISPEC
195: *
196: ILAENV = -1
197: RETURN
198: *
199: 10 CONTINUE
200: *
201: * Convert NAME to upper case if the first character is lower case.
202: *
203: ILAENV = 1
204: SUBNAM = NAME
205: IC = ICHAR( SUBNAM( 1: 1 ) )
206: IZ = ICHAR( 'Z' )
207: IF( IZ.EQ.90 .OR. IZ.EQ.122 ) THEN
208: *
209: * ASCII character set
210: *
211: IF( IC.GE.97 .AND. IC.LE.122 ) THEN
212: SUBNAM( 1: 1 ) = CHAR( IC-32 )
213: DO 20 I = 2, 6
214: IC = ICHAR( SUBNAM( I: I ) )
215: IF( IC.GE.97 .AND. IC.LE.122 )
216: $ SUBNAM( I: I ) = CHAR( IC-32 )
217: 20 CONTINUE
218: END IF
219: *
220: ELSE IF( IZ.EQ.233 .OR. IZ.EQ.169 ) THEN
221: *
222: * EBCDIC character set
223: *
224: IF( ( IC.GE.129 .AND. IC.LE.137 ) .OR.
225: $ ( IC.GE.145 .AND. IC.LE.153 ) .OR.
226: $ ( IC.GE.162 .AND. IC.LE.169 ) ) THEN
227: SUBNAM( 1: 1 ) = CHAR( IC+64 )
228: DO 30 I = 2, 6
229: IC = ICHAR( SUBNAM( I: I ) )
230: IF( ( IC.GE.129 .AND. IC.LE.137 ) .OR.
231: $ ( IC.GE.145 .AND. IC.LE.153 ) .OR.
232: $ ( IC.GE.162 .AND. IC.LE.169 ) )SUBNAM( I:
233: $ I ) = CHAR( IC+64 )
234: 30 CONTINUE
235: END IF
236: *
237: ELSE IF( IZ.EQ.218 .OR. IZ.EQ.250 ) THEN
238: *
239: * Prime machines: ASCII+128
240: *
241: IF( IC.GE.225 .AND. IC.LE.250 ) THEN
242: SUBNAM( 1: 1 ) = CHAR( IC-32 )
243: DO 40 I = 2, 6
244: IC = ICHAR( SUBNAM( I: I ) )
245: IF( IC.GE.225 .AND. IC.LE.250 )
246: $ SUBNAM( I: I ) = CHAR( IC-32 )
247: 40 CONTINUE
248: END IF
249: END IF
250: *
251: C1 = SUBNAM( 1: 1 )
252: SNAME = C1.EQ.'S' .OR. C1.EQ.'D'
253: CNAME = C1.EQ.'C' .OR. C1.EQ.'Z'
254: IF( .NOT.( CNAME .OR. SNAME ) )
255: $ RETURN
256: C2 = SUBNAM( 2: 3 )
257: C3 = SUBNAM( 4: 6 )
258: C4 = C3( 2: 3 )
259: *
260: GO TO ( 50, 60, 70 )ISPEC
261: *
262: 50 CONTINUE
263: *
264: * ISPEC = 1: block size
265: *
266: * In these examples, separate code is provided for setting NB for
267: * real and complex. We assume that NB will take the same value in
268: * single or double precision.
269: *
270: NB = 1
271: *
272: IF( C2.EQ.'GE' ) THEN
273: IF( C3.EQ.'TRF' ) THEN
274: IF( SNAME ) THEN
275: NB = 64
276: ELSE
277: NB = 64
278: END IF
279: ELSE IF( C3.EQ.'QRF' .OR. C3.EQ.'RQF' .OR. C3.EQ.'LQF' .OR.
280: $ C3.EQ.'QLF' ) THEN
281: IF( SNAME ) THEN
282: NB = 32
283: ELSE
284: NB = 32
285: END IF
286: ELSE IF( C3.EQ.'HRD' ) THEN
287: IF( SNAME ) THEN
288: NB = 32
289: ELSE
290: NB = 32
291: END IF
292: ELSE IF( C3.EQ.'BRD' ) THEN
293: IF( SNAME ) THEN
294: NB = 32
295: ELSE
296: NB = 32
297: END IF
298: ELSE IF( C3.EQ.'TRI' ) THEN
299: IF( SNAME ) THEN
300: NB = 64
301: ELSE
302: NB = 64
303: END IF
304: END IF
305: ELSE IF( C2.EQ.'PO' ) THEN
306: IF( C3.EQ.'TRF' ) THEN
307: IF( SNAME ) THEN
308: NB = 64
309: ELSE
310: NB = 64
311: END IF
312: END IF
313: ELSE IF( C2.EQ.'SY' ) THEN
314: IF( C3.EQ.'TRF' ) THEN
315: IF( SNAME ) THEN
316: NB = 64
317: ELSE
318: NB = 64
319: END IF
320: ELSE IF( SNAME .AND. C3.EQ.'TRD' ) THEN
321: NB = 32
322: ELSE IF( SNAME .AND. C3.EQ.'GST' ) THEN
323: NB = 64
324: END IF
325: ELSE IF( CNAME .AND. C2.EQ.'HE' ) THEN
326: IF( C3.EQ.'TRF' ) THEN
327: NB = 64
328: ELSE IF( C3.EQ.'TRD' ) THEN
329: NB = 32
330: ELSE IF( C3.EQ.'GST' ) THEN
331: NB = 64
332: END IF
333: ELSE IF( SNAME .AND. C2.EQ.'OR' ) THEN
334: IF( C3( 1: 1 ).EQ.'G' ) THEN
335: IF( C4.EQ.'QR' .OR. C4.EQ.'RQ' .OR. C4.EQ.'LQ' .OR. C4.EQ.
336: $ 'QL' .OR. C4.EQ.'HR' .OR. C4.EQ.'TR' .OR. C4.EQ.'BR' )
337: $ THEN
338: NB = 32
339: END IF
340: ELSE IF( C3( 1: 1 ).EQ.'M' ) THEN
341: IF( C4.EQ.'QR' .OR. C4.EQ.'RQ' .OR. C4.EQ.'LQ' .OR. C4.EQ.
342: $ 'QL' .OR. C4.EQ.'HR' .OR. C4.EQ.'TR' .OR. C4.EQ.'BR' )
343: $ THEN
344: NB = 32
345: END IF
346: END IF
347: ELSE IF( CNAME .AND. C2.EQ.'UN' ) THEN
348: IF( C3( 1: 1 ).EQ.'G' ) THEN
349: IF( C4.EQ.'QR' .OR. C4.EQ.'RQ' .OR. C4.EQ.'LQ' .OR. C4.EQ.
350: $ 'QL' .OR. C4.EQ.'HR' .OR. C4.EQ.'TR' .OR. C4.EQ.'BR' )
351: $ THEN
352: NB = 32
353: END IF
354: ELSE IF( C3( 1: 1 ).EQ.'M' ) THEN
355: IF( C4.EQ.'QR' .OR. C4.EQ.'RQ' .OR. C4.EQ.'LQ' .OR. C4.EQ.
356: $ 'QL' .OR. C4.EQ.'HR' .OR. C4.EQ.'TR' .OR. C4.EQ.'BR' )
357: $ THEN
358: NB = 32
359: END IF
360: END IF
361: ELSE IF( C2.EQ.'GB' ) THEN
362: IF( C3.EQ.'TRF' ) THEN
363: IF( SNAME ) THEN
364: IF( N4.LE.64 ) THEN
365: NB = 1
366: ELSE
367: NB = 32
368: END IF
369: ELSE
370: IF( N4.LE.64 ) THEN
371: NB = 1
372: ELSE
373: NB = 32
374: END IF
375: END IF
376: END IF
377: ELSE IF( C2.EQ.'PB' ) THEN
378: IF( C3.EQ.'TRF' ) THEN
379: IF( SNAME ) THEN
380: IF( N2.LE.64 ) THEN
381: NB = 1
382: ELSE
383: NB = 32
384: END IF
385: ELSE
386: IF( N2.LE.64 ) THEN
387: NB = 1
388: ELSE
389: NB = 32
390: END IF
391: END IF
392: END IF
393: ELSE IF( C2.EQ.'TR' ) THEN
394: IF( C3.EQ.'TRI' ) THEN
395: IF( SNAME ) THEN
396: NB = 64
397: ELSE
398: NB = 64
399: END IF
400: END IF
401: ELSE IF( C2.EQ.'LA' ) THEN
402: IF( C3.EQ.'UUM' ) THEN
403: IF( SNAME ) THEN
404: NB = 64
405: ELSE
406: NB = 64
407: END IF
408: END IF
409: ELSE IF( SNAME .AND. C2.EQ.'ST' ) THEN
410: IF( C3.EQ.'EBZ' ) THEN
411: NB = 1
412: END IF
413: END IF
414: ILAENV = NB
415: RETURN
416: *
417: 60 CONTINUE
418: *
419: * ISPEC = 2: minimum block size
420: *
421: NBMIN = 2
422: IF( C2.EQ.'GE' ) THEN
423: IF( C3.EQ.'QRF' .OR. C3.EQ.'RQF' .OR. C3.EQ.'LQF' .OR. C3.EQ.
424: $ 'QLF' ) THEN
425: IF( SNAME ) THEN
426: NBMIN = 2
427: ELSE
428: NBMIN = 2
429: END IF
430: ELSE IF( C3.EQ.'HRD' ) THEN
431: IF( SNAME ) THEN
432: NBMIN = 2
433: ELSE
434: NBMIN = 2
435: END IF
436: ELSE IF( C3.EQ.'BRD' ) THEN
437: IF( SNAME ) THEN
438: NBMIN = 2
439: ELSE
440: NBMIN = 2
441: END IF
442: ELSE IF( C3.EQ.'TRI' ) THEN
443: IF( SNAME ) THEN
444: NBMIN = 2
445: ELSE
446: NBMIN = 2
447: END IF
448: END IF
449: ELSE IF( C2.EQ.'SY' ) THEN
450: IF( C3.EQ.'TRF' ) THEN
451: IF( SNAME ) THEN
452: NBMIN = 8
453: ELSE
454: NBMIN = 8
455: END IF
456: ELSE IF( SNAME .AND. C3.EQ.'TRD' ) THEN
457: NBMIN = 2
458: END IF
459: ELSE IF( CNAME .AND. C2.EQ.'HE' ) THEN
460: IF( C3.EQ.'TRD' ) THEN
461: NBMIN = 2
462: END IF
463: ELSE IF( SNAME .AND. C2.EQ.'OR' ) THEN
464: IF( C3( 1: 1 ).EQ.'G' ) THEN
465: IF( C4.EQ.'QR' .OR. C4.EQ.'RQ' .OR. C4.EQ.'LQ' .OR. C4.EQ.
466: $ 'QL' .OR. C4.EQ.'HR' .OR. C4.EQ.'TR' .OR. C4.EQ.'BR' )
467: $ THEN
468: NBMIN = 2
469: END IF
470: ELSE IF( C3( 1: 1 ).EQ.'M' ) THEN
471: IF( C4.EQ.'QR' .OR. C4.EQ.'RQ' .OR. C4.EQ.'LQ' .OR. C4.EQ.
472: $ 'QL' .OR. C4.EQ.'HR' .OR. C4.EQ.'TR' .OR. C4.EQ.'BR' )
473: $ THEN
474: NBMIN = 2
475: END IF
476: END IF
477: ELSE IF( CNAME .AND. C2.EQ.'UN' ) THEN
478: IF( C3( 1: 1 ).EQ.'G' ) THEN
479: IF( C4.EQ.'QR' .OR. C4.EQ.'RQ' .OR. C4.EQ.'LQ' .OR. C4.EQ.
480: $ 'QL' .OR. C4.EQ.'HR' .OR. C4.EQ.'TR' .OR. C4.EQ.'BR' )
481: $ THEN
482: NBMIN = 2
483: END IF
484: ELSE IF( C3( 1: 1 ).EQ.'M' ) THEN
485: IF( C4.EQ.'QR' .OR. C4.EQ.'RQ' .OR. C4.EQ.'LQ' .OR. C4.EQ.
486: $ 'QL' .OR. C4.EQ.'HR' .OR. C4.EQ.'TR' .OR. C4.EQ.'BR' )
487: $ THEN
488: NBMIN = 2
489: END IF
490: END IF
491: END IF
492: ILAENV = NBMIN
493: RETURN
494: *
495: 70 CONTINUE
496: *
497: * ISPEC = 3: crossover point
498: *
499: NX = 0
500: IF( C2.EQ.'GE' ) THEN
501: IF( C3.EQ.'QRF' .OR. C3.EQ.'RQF' .OR. C3.EQ.'LQF' .OR. C3.EQ.
502: $ 'QLF' ) THEN
503: IF( SNAME ) THEN
504: NX = 128
505: ELSE
506: NX = 128
507: END IF
508: ELSE IF( C3.EQ.'HRD' ) THEN
509: IF( SNAME ) THEN
510: NX = 128
511: ELSE
512: NX = 128
513: END IF
514: ELSE IF( C3.EQ.'BRD' ) THEN
515: IF( SNAME ) THEN
516: NX = 128
517: ELSE
518: NX = 128
519: END IF
520: END IF
521: ELSE IF( C2.EQ.'SY' ) THEN
522: IF( SNAME .AND. C3.EQ.'TRD' ) THEN
523: NX = 32
524: END IF
525: ELSE IF( CNAME .AND. C2.EQ.'HE' ) THEN
526: IF( C3.EQ.'TRD' ) THEN
527: NX = 32
528: END IF
529: ELSE IF( SNAME .AND. C2.EQ.'OR' ) THEN
530: IF( C3( 1: 1 ).EQ.'G' ) THEN
531: IF( C4.EQ.'QR' .OR. C4.EQ.'RQ' .OR. C4.EQ.'LQ' .OR. C4.EQ.
532: $ 'QL' .OR. C4.EQ.'HR' .OR. C4.EQ.'TR' .OR. C4.EQ.'BR' )
533: $ THEN
534: NX = 128
535: END IF
536: END IF
537: ELSE IF( CNAME .AND. C2.EQ.'UN' ) THEN
538: IF( C3( 1: 1 ).EQ.'G' ) THEN
539: IF( C4.EQ.'QR' .OR. C4.EQ.'RQ' .OR. C4.EQ.'LQ' .OR. C4.EQ.
540: $ 'QL' .OR. C4.EQ.'HR' .OR. C4.EQ.'TR' .OR. C4.EQ.'BR' )
541: $ THEN
542: NX = 128
543: END IF
544: END IF
545: END IF
546: ILAENV = NX
547: RETURN
548: *
549: 80 CONTINUE
550: *
551: * ISPEC = 4: number of shifts (used by xHSEQR)
552: *
553: ILAENV = 6
554: RETURN
555: *
556: 90 CONTINUE
557: *
558: * ISPEC = 5: minimum column dimension (not used)
559: *
560: ILAENV = 2
561: RETURN
562: *
563: 100 CONTINUE
564: *
565: * ISPEC = 6: crossover point for SVD (used by xGELSS and xGESVD)
566: *
567: ILAENV = INT( REAL( MIN( N1, N2 ) )*1.6E0 )
568: RETURN
569: *
570: 110 CONTINUE
571: *
572: * ISPEC = 7: number of processors (not used)
573: *
574: ILAENV = 1
575: RETURN
576: *
577: 120 CONTINUE
578: *
579: * ISPEC = 8: crossover point for multishift (used by xHSEQR)
580: *
581: ILAENV = 50
582: RETURN
583: *
584: 130 CONTINUE
585: *
586: * ISPEC = 9: maximum size of the subproblems at the bottom of the
587: * computation tree in the divide-and-conquer algorithm
588: * (used by xGELSD and xGESDD)
589: *
590: ILAENV = 25
591: RETURN
592: *
593: 140 CONTINUE
594: *
595: * ISPEC = 10: ieee NaN arithmetic can be trusted not to trap
596: *
597: * ILAENV = 0
598: ILAENV = 1
599: IF( ILAENV.EQ.1 ) THEN
600: ILAENV = IEEECK( 1, 0.0, 1.0 )
601: END IF
602: RETURN
603: *
604: 150 CONTINUE
605: *
606: * ISPEC = 11: infinity arithmetic can be trusted not to trap
607: *
608: * ILAENV = 0
609: ILAENV = 1
610: IF( ILAENV.EQ.1 ) THEN
611: ILAENV = IEEECK( 0, 0.0, 1.0 )
612: END IF
613: RETURN
614: *
615: 160 CONTINUE
616: *
617: * 12 <= ISPEC <= 16: xHSEQR or one of its subroutines.
618: *
619: ILAENV = IPARMQ( ISPEC, NAME, OPTS, N1, N2, N3, N4 )
620: RETURN
621: *
622: * End of ILAENV
623: *
624: END
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