#include "blaswrap.h" /* ilaenv.f -- translated by f2c (version 20061008). You must link the resulting object file with libf2c: on Microsoft Windows system, link with libf2c.lib; on Linux or Unix systems, link with .../path/to/libf2c.a -lm or, if you install libf2c.a in a standard place, with -lf2c -lm -- in that order, at the end of the command line, as in cc *.o -lf2c -lm Source for libf2c is in /netlib/f2c/libf2c.zip, e.g., http://www.netlib.org/f2c/libf2c.zip */ #include "f2c.h" /* Table of constant values */ static integer c__0 = 0; static real c_b163 = 0.f; static real c_b164 = 1.f; static integer c__1 = 1; integer ilaenv_(integer *ispec, char *name__, char *opts, integer *n1, integer *n2, integer *n3, integer *n4, ftnlen name_len, ftnlen opts_len) { /* System generated locals */ integer ret_val; /* Builtin functions Subroutine */ int s_copy(char *, char *, ftnlen, ftnlen); integer s_cmp(char *, char *, ftnlen, ftnlen); /* Local variables */ static integer i__; static char c1[1], c2[2], c3[3], c4[2]; static integer ic, nb, iz, nx; static logical cname; static integer nbmin; static logical sname; extern integer ieeeck_(integer *, real *, real *); static char subnam[6]; extern integer iparmq_(integer *, char *, char *, integer *, integer *, integer *, integer *, ftnlen, ftnlen); /* -- LAPACK auxiliary routine (version 3.1.1) -- Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. January 2007 Purpose ======= ILAENV is called from the LAPACK routines to choose problem-dependent parameters for the local environment. See ISPEC for a description of the parameters. ILAENV returns an INTEGER if ILAENV >= 0: ILAENV returns the value of the parameter specified by ISPEC if ILAENV < 0: if ILAENV = -k, the k-th argument had an illegal value. This version provides a set of parameters which should give good, but not optimal, performance on many of the currently available computers. Users are encouraged to modify this subroutine to set the tuning parameters for their particular machine using the option and problem size information in the arguments. This routine will not function correctly if it is converted to all lower case. Converting it to all upper case is allowed. Arguments ========= ISPEC (input) INTEGER Specifies the parameter to be returned as the value of ILAENV. = 1: the optimal blocksize; if this value is 1, an unblocked algorithm will give the best performance. = 2: the minimum block size for which the block routine should be used; if the usable block size is less than this value, an unblocked routine should be used. = 3: the crossover point (in a block routine, for N less than this value, an unblocked routine should be used) = 4: the number of shifts, used in the nonsymmetric eigenvalue routines (DEPRECATED) = 5: the minimum column dimension for blocking to be used; rectangular blocks must have dimension at least k by m, where k is given by ILAENV(2,...) and m by ILAENV(5,...) = 6: the crossover point for the SVD (when reducing an m by n matrix to bidiagonal form, if max(m,n)/min(m,n) exceeds this value, a QR factorization is used first to reduce the matrix to a triangular form.) = 7: the number of processors = 8: the crossover point for the multishift QR method for nonsymmetric eigenvalue problems (DEPRECATED) = 9: maximum size of the subproblems at the bottom of the computation tree in the divide-and-conquer algorithm (used by xGELSD and xGESDD) =10: ieee NaN arithmetic can be trusted not to trap =11: infinity arithmetic can be trusted not to trap 12 <= ISPEC <= 16: xHSEQR or one of its subroutines, see IPARMQ for detailed explanation NAME (input) CHARACTER*(*) The name of the calling subroutine, in either upper case or lower case. OPTS (input) CHARACTER*(*) The character options to the subroutine NAME, concatenated into a single character string. For example, UPLO = 'U', TRANS = 'T', and DIAG = 'N' for a triangular routine would be specified as OPTS = 'UTN'. N1 (input) INTEGER N2 (input) INTEGER N3 (input) INTEGER N4 (input) INTEGER Problem dimensions for the subroutine NAME; these may not all be required. Further Details =============== The following conventions have been used when calling ILAENV from the LAPACK routines: 1) OPTS is a concatenation of all of the character options to subroutine NAME, in the same order that they appear in the argument list for NAME, even if they are not used in determining the value of the parameter specified by ISPEC. 2) The problem dimensions N1, N2, N3, N4 are specified in the order that they appear in the argument list for NAME. N1 is used first, N2 second, and so on, and unused problem dimensions are passed a value of -1. 3) The parameter value returned by ILAENV is checked for validity in the calling subroutine. For example, ILAENV is used to retrieve the optimal blocksize for STRTRI as follows: NB = ILAENV( 1, 'STRTRI', UPLO // DIAG, N, -1, -1, -1 ) IF( NB.LE.1 ) NB = MAX( 1, N ) ===================================================================== */ switch (*ispec) { case 1: goto L10; case 2: goto L10; case 3: goto L10; case 4: goto L80; case 5: goto L90; case 6: goto L100; case 7: goto L110; case 8: goto L120; case 9: goto L130; case 10: goto L140; case 11: goto L150; case 12: goto L160; case 13: goto L160; case 14: goto L160; case 15: goto L160; case 16: goto L160; } /* Invalid value for ISPEC */ ret_val = -1; return ret_val; L10: /* Convert NAME to upper case if the first character is lower case. */ ret_val = 1; s_copy(subnam, name__, (ftnlen)6, name_len); ic = *(unsigned char *)subnam; iz = 'Z'; if (iz == 90 || iz == 122) { /* ASCII character set */ if (ic >= 97 && ic <= 122) { *(unsigned char *)subnam = (char) (ic - 32); for (i__ = 2; i__ <= 6; ++i__) { ic = *(unsigned char *)&subnam[i__ - 1]; if (ic >= 97 && ic <= 122) { *(unsigned char *)&subnam[i__ - 1] = (char) (ic - 32); } /* L20: */ } } } else if (iz == 233 || iz == 169) { /* EBCDIC character set */ if (ic >= 129 && ic <= 137 || ic >= 145 && ic <= 153 || ic >= 162 && ic <= 169) { *(unsigned char *)subnam = (char) (ic + 64); for (i__ = 2; i__ <= 6; ++i__) { ic = *(unsigned char *)&subnam[i__ - 1]; if (ic >= 129 && ic <= 137 || ic >= 145 && ic <= 153 || ic >= 162 && ic <= 169) { *(unsigned char *)&subnam[i__ - 1] = (char) (ic + 64); } /* L30: */ } } } else if (iz == 218 || iz == 250) { /* Prime machines: ASCII+128 */ if (ic >= 225 && ic <= 250) { *(unsigned char *)subnam = (char) (ic - 32); for (i__ = 2; i__ <= 6; ++i__) { ic = *(unsigned char *)&subnam[i__ - 1]; if (ic >= 225 && ic <= 250) { *(unsigned char *)&subnam[i__ - 1] = (char) (ic - 32); } /* L40: */ } } } *(unsigned char *)c1 = *(unsigned char *)subnam; sname = *(unsigned char *)c1 == 'S' || *(unsigned char *)c1 == 'D'; cname = *(unsigned char *)c1 == 'C' || *(unsigned char *)c1 == 'Z'; if (! (cname || sname)) { return ret_val; } s_copy(c2, subnam + 1, (ftnlen)2, (ftnlen)2); s_copy(c3, subnam + 3, (ftnlen)3, (ftnlen)3); s_copy(c4, c3 + 1, (ftnlen)2, (ftnlen)2); switch (*ispec) { case 1: goto L50; case 2: goto L60; case 3: goto L70; } L50: /* ISPEC = 1: block size In these examples, separate code is provided for setting NB for real and complex. We assume that NB will take the same value in single or double precision. */ nb = 1; if (s_cmp(c2, "GE", (ftnlen)2, (ftnlen)2) == 0) { if (s_cmp(c3, "TRF", (ftnlen)3, (ftnlen)3) == 0) { if (sname) { nb = 64; } else { nb = 64; } } else if (s_cmp(c3, "QRF", (ftnlen)3, (ftnlen)3) == 0 || s_cmp(c3, "RQF", (ftnlen)3, (ftnlen)3) == 0 || s_cmp(c3, "LQF", (ftnlen) 3, (ftnlen)3) == 0 || s_cmp(c3, "QLF", (ftnlen)3, (ftnlen)3) == 0) { if (sname) { nb = 32; } else { nb = 32; } } else if (s_cmp(c3, "HRD", (ftnlen)3, (ftnlen)3) == 0) { if (sname) { nb = 32; } else { nb = 32; } } else if (s_cmp(c3, "BRD", (ftnlen)3, (ftnlen)3) == 0) { if (sname) { nb = 32; } else { nb = 32; } } else if (s_cmp(c3, "TRI", (ftnlen)3, (ftnlen)3) == 0) { if (sname) { nb = 64; } else { nb = 64; } } } else if (s_cmp(c2, "PO", (ftnlen)2, (ftnlen)2) == 0) { if (s_cmp(c3, "TRF", (ftnlen)3, (ftnlen)3) == 0) { if (sname) { nb = 64; } else { nb = 64; } } } else if (s_cmp(c2, "SY", (ftnlen)2, (ftnlen)2) == 0) { if (s_cmp(c3, "TRF", (ftnlen)3, (ftnlen)3) == 0) { if (sname) { nb = 64; } else { nb = 64; } } else if (sname && s_cmp(c3, "TRD", (ftnlen)3, (ftnlen)3) == 0) { nb = 32; } else if (sname && s_cmp(c3, "GST", (ftnlen)3, (ftnlen)3) == 0) { nb = 64; } } else if (cname && s_cmp(c2, "HE", (ftnlen)2, (ftnlen)2) == 0) { if (s_cmp(c3, "TRF", (ftnlen)3, (ftnlen)3) == 0) { nb = 64; } else if (s_cmp(c3, "TRD", (ftnlen)3, (ftnlen)3) == 0) { nb = 32; } else if (s_cmp(c3, "GST", (ftnlen)3, (ftnlen)3) == 0) { nb = 64; } } else if (sname && s_cmp(c2, "OR", (ftnlen)2, (ftnlen)2) == 0) { if (*(unsigned char *)c3 == 'G') { if (s_cmp(c4, "QR", (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, "RQ", (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, "LQ", (ftnlen)2, ( ftnlen)2) == 0 || s_cmp(c4, "QL", (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, "HR", (ftnlen)2, (ftnlen)2) == 0 || s_cmp( c4, "TR", (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, "BR", ( ftnlen)2, (ftnlen)2) == 0) { nb = 32; } } else if (*(unsigned char *)c3 == 'M') { if (s_cmp(c4, "QR", (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, "RQ", (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, "LQ", (ftnlen)2, ( ftnlen)2) == 0 || s_cmp(c4, "QL", (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, "HR", (ftnlen)2, (ftnlen)2) == 0 || s_cmp( c4, "TR", (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, "BR", ( ftnlen)2, (ftnlen)2) == 0) { nb = 32; } } } else if (cname && s_cmp(c2, "UN", (ftnlen)2, (ftnlen)2) == 0) { if (*(unsigned char *)c3 == 'G') { if (s_cmp(c4, "QR", (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, "RQ", (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, "LQ", (ftnlen)2, ( ftnlen)2) == 0 || s_cmp(c4, "QL", (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, "HR", (ftnlen)2, (ftnlen)2) == 0 || s_cmp( c4, "TR", (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, "BR", ( ftnlen)2, (ftnlen)2) == 0) { nb = 32; } } else if (*(unsigned char *)c3 == 'M') { if (s_cmp(c4, "QR", (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, "RQ", (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, "LQ", (ftnlen)2, ( ftnlen)2) == 0 || s_cmp(c4, "QL", (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, "HR", (ftnlen)2, (ftnlen)2) == 0 || s_cmp( c4, "TR", (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, "BR", ( ftnlen)2, (ftnlen)2) == 0) { nb = 32; } } } else if (s_cmp(c2, "GB", (ftnlen)2, (ftnlen)2) == 0) { if (s_cmp(c3, "TRF", (ftnlen)3, (ftnlen)3) == 0) { if (sname) { if (*n4 <= 64) { nb = 1; } else { nb = 32; } } else { if (*n4 <= 64) { nb = 1; } else { nb = 32; } } } } else if (s_cmp(c2, "PB", (ftnlen)2, (ftnlen)2) == 0) { if (s_cmp(c3, "TRF", (ftnlen)3, (ftnlen)3) == 0) { if (sname) { if (*n2 <= 64) { nb = 1; } else { nb = 32; } } else { if (*n2 <= 64) { nb = 1; } else { nb = 32; } } } } else if (s_cmp(c2, "TR", (ftnlen)2, (ftnlen)2) == 0) { if (s_cmp(c3, "TRI", (ftnlen)3, (ftnlen)3) == 0) { if (sname) { nb = 64; } else { nb = 64; } } } else if (s_cmp(c2, "LA", (ftnlen)2, (ftnlen)2) == 0) { if (s_cmp(c3, "UUM", (ftnlen)3, (ftnlen)3) == 0) { if (sname) { nb = 64; } else { nb = 64; } } } else if (sname && s_cmp(c2, "ST", (ftnlen)2, (ftnlen)2) == 0) { if (s_cmp(c3, "EBZ", (ftnlen)3, (ftnlen)3) == 0) { nb = 1; } } ret_val = nb; return ret_val; L60: /* ISPEC = 2: minimum block size */ nbmin = 2; if (s_cmp(c2, "GE", (ftnlen)2, (ftnlen)2) == 0) { if (s_cmp(c3, "QRF", (ftnlen)3, (ftnlen)3) == 0 || s_cmp(c3, "RQF", ( ftnlen)3, (ftnlen)3) == 0 || s_cmp(c3, "LQF", (ftnlen)3, ( ftnlen)3) == 0 || s_cmp(c3, "QLF", (ftnlen)3, (ftnlen)3) == 0) { if (sname) { nbmin = 2; } else { nbmin = 2; } } else if (s_cmp(c3, "HRD", (ftnlen)3, (ftnlen)3) == 0) { if (sname) { nbmin = 2; } else { nbmin = 2; } } else if (s_cmp(c3, "BRD", (ftnlen)3, (ftnlen)3) == 0) { if (sname) { nbmin = 2; } else { nbmin = 2; } } else if (s_cmp(c3, "TRI", (ftnlen)3, (ftnlen)3) == 0) { if (sname) { nbmin = 2; } else { nbmin = 2; } } } else if (s_cmp(c2, "SY", (ftnlen)2, (ftnlen)2) == 0) { if (s_cmp(c3, "TRF", (ftnlen)3, (ftnlen)3) == 0) { if (sname) { nbmin = 8; } else { nbmin = 8; } } else if (sname && s_cmp(c3, "TRD", (ftnlen)3, (ftnlen)3) == 0) { nbmin = 2; } } else if (cname && s_cmp(c2, "HE", (ftnlen)2, (ftnlen)2) == 0) { if (s_cmp(c3, "TRD", (ftnlen)3, (ftnlen)3) == 0) { nbmin = 2; } } else if (sname && s_cmp(c2, "OR", (ftnlen)2, (ftnlen)2) == 0) { if (*(unsigned char *)c3 == 'G') { if (s_cmp(c4, "QR", (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, "RQ", (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, "LQ", (ftnlen)2, ( ftnlen)2) == 0 || s_cmp(c4, "QL", (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, "HR", (ftnlen)2, (ftnlen)2) == 0 || s_cmp( c4, "TR", (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, "BR", ( ftnlen)2, (ftnlen)2) == 0) { nbmin = 2; } } else if (*(unsigned char *)c3 == 'M') { if (s_cmp(c4, "QR", (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, "RQ", (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, "LQ", (ftnlen)2, ( ftnlen)2) == 0 || s_cmp(c4, "QL", (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, "HR", (ftnlen)2, (ftnlen)2) == 0 || s_cmp( c4, "TR", (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, "BR", ( ftnlen)2, (ftnlen)2) == 0) { nbmin = 2; } } } else if (cname && s_cmp(c2, "UN", (ftnlen)2, (ftnlen)2) == 0) { if (*(unsigned char *)c3 == 'G') { if (s_cmp(c4, "QR", (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, "RQ", (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, "LQ", (ftnlen)2, ( ftnlen)2) == 0 || s_cmp(c4, "QL", (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, "HR", (ftnlen)2, (ftnlen)2) == 0 || s_cmp( c4, "TR", (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, "BR", ( ftnlen)2, (ftnlen)2) == 0) { nbmin = 2; } } else if (*(unsigned char *)c3 == 'M') { if (s_cmp(c4, "QR", (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, "RQ", (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, "LQ", (ftnlen)2, ( ftnlen)2) == 0 || s_cmp(c4, "QL", (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, "HR", (ftnlen)2, (ftnlen)2) == 0 || s_cmp( c4, "TR", (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, "BR", ( ftnlen)2, (ftnlen)2) == 0) { nbmin = 2; } } } ret_val = nbmin; return ret_val; L70: /* ISPEC = 3: crossover point */ nx = 0; if (s_cmp(c2, "GE", (ftnlen)2, (ftnlen)2) == 0) { if (s_cmp(c3, "QRF", (ftnlen)3, (ftnlen)3) == 0 || s_cmp(c3, "RQF", ( ftnlen)3, (ftnlen)3) == 0 || s_cmp(c3, "LQF", (ftnlen)3, ( ftnlen)3) == 0 || s_cmp(c3, "QLF", (ftnlen)3, (ftnlen)3) == 0) { if (sname) { nx = 128; } else { nx = 128; } } else if (s_cmp(c3, "HRD", (ftnlen)3, (ftnlen)3) == 0) { if (sname) { nx = 128; } else { nx = 128; } } else if (s_cmp(c3, "BRD", (ftnlen)3, (ftnlen)3) == 0) { if (sname) { nx = 128; } else { nx = 128; } } } else if (s_cmp(c2, "SY", (ftnlen)2, (ftnlen)2) == 0) { if (sname && s_cmp(c3, "TRD", (ftnlen)3, (ftnlen)3) == 0) { nx = 32; } } else if (cname && s_cmp(c2, "HE", (ftnlen)2, (ftnlen)2) == 0) { if (s_cmp(c3, "TRD", (ftnlen)3, (ftnlen)3) == 0) { nx = 32; } } else if (sname && s_cmp(c2, "OR", (ftnlen)2, (ftnlen)2) == 0) { if (*(unsigned char *)c3 == 'G') { if (s_cmp(c4, "QR", (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, "RQ", (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, "LQ", (ftnlen)2, ( ftnlen)2) == 0 || s_cmp(c4, "QL", (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, "HR", (ftnlen)2, (ftnlen)2) == 0 || s_cmp( c4, "TR", (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, "BR", ( ftnlen)2, (ftnlen)2) == 0) { nx = 128; } } } else if (cname && s_cmp(c2, "UN", (ftnlen)2, (ftnlen)2) == 0) { if (*(unsigned char *)c3 == 'G') { if (s_cmp(c4, "QR", (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, "RQ", (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, "LQ", (ftnlen)2, ( ftnlen)2) == 0 || s_cmp(c4, "QL", (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, "HR", (ftnlen)2, (ftnlen)2) == 0 || s_cmp( c4, "TR", (ftnlen)2, (ftnlen)2) == 0 || s_cmp(c4, "BR", ( ftnlen)2, (ftnlen)2) == 0) { nx = 128; } } } ret_val = nx; return ret_val; L80: /* ISPEC = 4: number of shifts (used by xHSEQR) */ ret_val = 6; return ret_val; L90: /* ISPEC = 5: minimum column dimension (not used) */ ret_val = 2; return ret_val; L100: /* ISPEC = 6: crossover point for SVD (used by xGELSS and xGESVD) */ ret_val = (integer) ((real) min(*n1,*n2) * 1.6f); return ret_val; L110: /* ISPEC = 7: number of processors (not used) */ ret_val = 1; return ret_val; L120: /* ISPEC = 8: crossover point for multishift (used by xHSEQR) */ ret_val = 50; return ret_val; L130: /* ISPEC = 9: maximum size of the subproblems at the bottom of the computation tree in the divide-and-conquer algorithm (used by xGELSD and xGESDD) */ ret_val = 25; return ret_val; L140: /* ISPEC = 10: ieee NaN arithmetic can be trusted not to trap ILAENV = 0 */ ret_val = 1; if (ret_val == 1) { ret_val = ieeeck_(&c__0, &c_b163, &c_b164); } return ret_val; L150: /* ISPEC = 11: infinity arithmetic can be trusted not to trap ILAENV = 0 */ ret_val = 1; if (ret_val == 1) { ret_val = ieeeck_(&c__1, &c_b163, &c_b164); } return ret_val; L160: /* 12 <= ISPEC <= 16: xHSEQR or one of its subroutines. */ ret_val = iparmq_(ispec, name__, opts, n1, n2, n3, n4, name_len, opts_len) ; return ret_val; /* End of ILAENV */ } /* ilaenv_ */