OpenBLAS/ctest/c_sblat3c.c

3653 lines
94 KiB
C

#include <math.h>
#include <stdlib.h>
#include <string.h>
#include <stdio.h>
#include <complex.h>
#ifdef complex
#undef complex
#endif
#ifdef I
#undef I
#endif
#include "common.h"
typedef blasint integer;
typedef unsigned int uinteger;
typedef char *address;
typedef short int shortint;
typedef float real;
typedef double doublereal;
typedef struct { real r, i; } complex;
typedef struct { doublereal r, i; } doublecomplex;
#ifdef _MSC_VER
static inline _Fcomplex Cf(complex *z) {_Fcomplex zz={z->r , z->i}; return zz;}
static inline _Dcomplex Cd(doublecomplex *z) {_Dcomplex zz={z->r , z->i};return zz;}
static inline _Fcomplex * _pCf(complex *z) {return (_Fcomplex*)z;}
static inline _Dcomplex * _pCd(doublecomplex *z) {return (_Dcomplex*)z;}
#else
static inline _Complex float Cf(complex *z) {return z->r + z->i*_Complex_I;}
static inline _Complex double Cd(doublecomplex *z) {return z->r + z->i*_Complex_I;}
static inline _Complex float * _pCf(complex *z) {return (_Complex float*)z;}
static inline _Complex double * _pCd(doublecomplex *z) {return (_Complex double*)z;}
#endif
#define pCf(z) (*_pCf(z))
#define pCd(z) (*_pCd(z))
typedef int logical;
typedef short int shortlogical;
typedef char logical1;
typedef char integer1;
#define TRUE_ (1)
#define FALSE_ (0)
/* Extern is for use with -E */
#ifndef Extern
#define Extern extern
#endif
/* I/O stuff */
typedef int flag;
typedef int ftnlen;
typedef int ftnint;
/*external read, write*/
typedef struct
{ flag cierr;
ftnint ciunit;
flag ciend;
char *cifmt;
ftnint cirec;
} cilist;
/*internal read, write*/
typedef struct
{ flag icierr;
char *iciunit;
flag iciend;
char *icifmt;
ftnint icirlen;
ftnint icirnum;
} icilist;
/*open*/
typedef struct
{ flag oerr;
ftnint ounit;
char *ofnm;
ftnlen ofnmlen;
char *osta;
char *oacc;
char *ofm;
ftnint orl;
char *oblnk;
} olist;
/*close*/
typedef struct
{ flag cerr;
ftnint cunit;
char *csta;
} cllist;
/*rewind, backspace, endfile*/
typedef struct
{ flag aerr;
ftnint aunit;
} alist;
/* inquire */
typedef struct
{ flag inerr;
ftnint inunit;
char *infile;
ftnlen infilen;
ftnint *inex; /*parameters in standard's order*/
ftnint *inopen;
ftnint *innum;
ftnint *innamed;
char *inname;
ftnlen innamlen;
char *inacc;
ftnlen inacclen;
char *inseq;
ftnlen inseqlen;
char *indir;
ftnlen indirlen;
char *infmt;
ftnlen infmtlen;
char *inform;
ftnint informlen;
char *inunf;
ftnlen inunflen;
ftnint *inrecl;
ftnint *innrec;
char *inblank;
ftnlen inblanklen;
} inlist;
#define VOID void
union Multitype { /* for multiple entry points */
integer1 g;
shortint h;
integer i;
/* longint j; */
real r;
doublereal d;
complex c;
doublecomplex z;
};
typedef union Multitype Multitype;
struct Vardesc { /* for Namelist */
char *name;
char *addr;
ftnlen *dims;
int type;
};
typedef struct Vardesc Vardesc;
struct Namelist {
char *name;
Vardesc **vars;
int nvars;
};
typedef struct Namelist Namelist;
#define abs(x) ((x) >= 0 ? (x) : -(x))
#define dabs(x) (fabs(x))
#define f2cmin(a,b) ((a) <= (b) ? (a) : (b))
#define f2cmax(a,b) ((a) >= (b) ? (a) : (b))
#define dmin(a,b) (f2cmin(a,b))
#define dmax(a,b) (f2cmax(a,b))
#define bit_test(a,b) ((a) >> (b) & 1)
#define bit_clear(a,b) ((a) & ~((uinteger)1 << (b)))
#define bit_set(a,b) ((a) | ((uinteger)1 << (b)))
#define abort_() { sig_die("Fortran abort routine called", 1); }
#define c_abs(z) (cabsf(Cf(z)))
#define c_cos(R,Z) { pCf(R)=ccos(Cf(Z)); }
#ifdef _MSC_VER
#define c_div(c, a, b) {Cf(c)._Val[0] = (Cf(a)._Val[0]/Cf(b)._Val[0]); Cf(c)._Val[1]=(Cf(a)._Val[1]/Cf(b)._Val[1]);}
#define z_div(c, a, b) {Cd(c)._Val[0] = (Cd(a)._Val[0]/Cd(b)._Val[0]); Cd(c)._Val[1]=(Cd(a)._Val[1]/Cd(b)._Val[1]);}
#else
#define c_div(c, a, b) {pCf(c) = Cf(a)/Cf(b);}
#define z_div(c, a, b) {pCd(c) = Cd(a)/Cd(b);}
#endif
#define c_exp(R, Z) {pCf(R) = cexpf(Cf(Z));}
#define c_log(R, Z) {pCf(R) = clogf(Cf(Z));}
#define c_sin(R, Z) {pCf(R) = csinf(Cf(Z));}
//#define c_sqrt(R, Z) {*(R) = csqrtf(Cf(Z));}
#define c_sqrt(R, Z) {pCf(R) = csqrtf(Cf(Z));}
#define d_abs(x) (fabs(*(x)))
#define d_acos(x) (acos(*(x)))
#define d_asin(x) (asin(*(x)))
#define d_atan(x) (atan(*(x)))
#define d_atn2(x, y) (atan2(*(x),*(y)))
#define d_cnjg(R, Z) { pCd(R) = conj(Cd(Z)); }
#define r_cnjg(R, Z) { pCf(R) = conjf(Cf(Z)); }
#define d_cos(x) (cos(*(x)))
#define d_cosh(x) (cosh(*(x)))
#define d_dim(__a, __b) ( *(__a) > *(__b) ? *(__a) - *(__b) : 0.0 )
#define d_exp(x) (exp(*(x)))
#define d_imag(z) (cimag(Cd(z)))
#define r_imag(z) (cimagf(Cf(z)))
#define d_int(__x) (*(__x)>0 ? floor(*(__x)) : -floor(- *(__x)))
#define r_int(__x) (*(__x)>0 ? floor(*(__x)) : -floor(- *(__x)))
#define d_lg10(x) ( 0.43429448190325182765 * log(*(x)) )
#define r_lg10(x) ( 0.43429448190325182765 * log(*(x)) )
#define d_log(x) (log(*(x)))
#define d_mod(x, y) (fmod(*(x), *(y)))
#define u_nint(__x) ((__x)>=0 ? floor((__x) + .5) : -floor(.5 - (__x)))
#define d_nint(x) u_nint(*(x))
#define u_sign(__a,__b) ((__b) >= 0 ? ((__a) >= 0 ? (__a) : -(__a)) : -((__a) >= 0 ? (__a) : -(__a)))
#define d_sign(a,b) u_sign(*(a),*(b))
#define r_sign(a,b) u_sign(*(a),*(b))
#define d_sin(x) (sin(*(x)))
#define d_sinh(x) (sinh(*(x)))
#define d_sqrt(x) (sqrt(*(x)))
#define d_tan(x) (tan(*(x)))
#define d_tanh(x) (tanh(*(x)))
#define i_abs(x) abs(*(x))
#define i_dnnt(x) ((integer)u_nint(*(x)))
#define i_len(s, n) (n)
#define i_nint(x) ((integer)u_nint(*(x)))
#define i_sign(a,b) ((integer)u_sign((integer)*(a),(integer)*(b)))
#define pow_dd(ap, bp) ( pow(*(ap), *(bp)))
#define pow_si(B,E) spow_ui(*(B),*(E))
#define pow_ri(B,E) spow_ui(*(B),*(E))
#define pow_di(B,E) dpow_ui(*(B),*(E))
#define pow_zi(p, a, b) {pCd(p) = zpow_ui(Cd(a), *(b));}
#define pow_ci(p, a, b) {pCf(p) = cpow_ui(Cf(a), *(b));}
#define pow_zz(R,A,B) {pCd(R) = cpow(Cd(A),*(B));}
#define s_cat(lpp, rpp, rnp, np, llp) { ftnlen i, nc, ll; char *f__rp, *lp; ll = (llp); lp = (lpp); for(i=0; i < (int)*(np); ++i) { nc = ll; if((rnp)[i] < nc) nc = (rnp)[i]; ll -= nc; f__rp = (rpp)[i]; while(--nc >= 0) *lp++ = *(f__rp)++; } while(--ll >= 0) *lp++ = ' '; }
#define s_cmp(a,b,c,d) ((integer)strncmp((a),(b),f2cmin((c),(d))))
#define s_copy(A,B,C,D) { int __i,__m; for (__i=0, __m=f2cmin((C),(D)); __i<__m && (B)[__i] != 0; ++__i) (A)[__i] = (B)[__i]; }
#define sig_die(s, kill) { exit(1); }
#define s_stop(s, n) {exit(0);}
#define z_abs(z) (cabs(Cd(z)))
#define z_exp(R, Z) {pCd(R) = cexp(Cd(Z));}
#define z_sqrt(R, Z) {pCd(R) = csqrt(Cd(Z));}
#define myexit_() break;
#define mycycle_() continue;
#define myceiling_(w) {ceil(w)}
#define myhuge_(w) {HUGE_VAL}
//#define mymaxloc_(w,s,e,n) {if (sizeof(*(w)) == sizeof(double)) dmaxloc_((w),*(s),*(e),n); else dmaxloc_((w),*(s),*(e),n);}
#define mymaxloc_(w,s,e,n) dmaxloc_(w,*(s),*(e),n)
/* procedure parameter types for -A and -C++ */
#define F2C_proc_par_types 1
#ifdef __cplusplus
typedef logical (*L_fp)(...);
#else
typedef logical (*L_fp)();
#endif
#if 0
static float spow_ui(float x, integer n) {
float pow=1.0; unsigned long int u;
if(n != 0) {
if(n < 0) n = -n, x = 1/x;
for(u = n; ; ) {
if(u & 01) pow *= x;
if(u >>= 1) x *= x;
else break;
}
}
return pow;
}
static double dpow_ui(double x, integer n) {
double pow=1.0; unsigned long int u;
if(n != 0) {
if(n < 0) n = -n, x = 1/x;
for(u = n; ; ) {
if(u & 01) pow *= x;
if(u >>= 1) x *= x;
else break;
}
}
return pow;
}
#ifdef _MSC_VER
static _Fcomplex cpow_ui(complex x, integer n) {
complex pow={1.0,0.0}; unsigned long int u;
if(n != 0) {
if(n < 0) n = -n, x.r = 1/x.r, x.i=1/x.i;
for(u = n; ; ) {
if(u & 01) pow.r *= x.r, pow.i *= x.i;
if(u >>= 1) x.r *= x.r, x.i *= x.i;
else break;
}
}
_Fcomplex p={pow.r, pow.i};
return p;
}
#else
static _Complex float cpow_ui(_Complex float x, integer n) {
_Complex float pow=1.0; unsigned long int u;
if(n != 0) {
if(n < 0) n = -n, x = 1/x;
for(u = n; ; ) {
if(u & 01) pow *= x;
if(u >>= 1) x *= x;
else break;
}
}
return pow;
}
#endif
#ifdef _MSC_VER
static _Dcomplex zpow_ui(_Dcomplex x, integer n) {
_Dcomplex pow={1.0,0.0}; unsigned long int u;
if(n != 0) {
if(n < 0) n = -n, x._Val[0] = 1/x._Val[0], x._Val[1] =1/x._Val[1];
for(u = n; ; ) {
if(u & 01) pow._Val[0] *= x._Val[0], pow._Val[1] *= x._Val[1];
if(u >>= 1) x._Val[0] *= x._Val[0], x._Val[1] *= x._Val[1];
else break;
}
}
_Dcomplex p = {pow._Val[0], pow._Val[1]};
return p;
}
#else
static _Complex double zpow_ui(_Complex double x, integer n) {
_Complex double pow=1.0; unsigned long int u;
if(n != 0) {
if(n < 0) n = -n, x = 1/x;
for(u = n; ; ) {
if(u & 01) pow *= x;
if(u >>= 1) x *= x;
else break;
}
}
return pow;
}
#endif
static integer pow_ii(integer x, integer n) {
integer pow; unsigned long int u;
if (n <= 0) {
if (n == 0 || x == 1) pow = 1;
else if (x != -1) pow = x == 0 ? 1/x : 0;
else n = -n;
}
if ((n > 0) || !(n == 0 || x == 1 || x != -1)) {
u = n;
for(pow = 1; ; ) {
if(u & 01) pow *= x;
if(u >>= 1) x *= x;
else break;
}
}
return pow;
}
static integer dmaxloc_(double *w, integer s, integer e, integer *n)
{
double m; integer i, mi;
for(m=w[s-1], mi=s, i=s+1; i<=e; i++)
if (w[i-1]>m) mi=i ,m=w[i-1];
return mi-s+1;
}
static integer smaxloc_(float *w, integer s, integer e, integer *n)
{
float m; integer i, mi;
for(m=w[s-1], mi=s, i=s+1; i<=e; i++)
if (w[i-1]>m) mi=i ,m=w[i-1];
return mi-s+1;
}
#endif
/* -- translated by f2c (version 20000121).
You must link the resulting object file with the libraries:
-lf2c -lm (in that order)
*/
/* Common Block Declarations */
struct {
integer infot, noutc;
logical ok;
} infoc_;
#define infoc_1 infoc_
struct {
char srnamt[12];
} srnamc_;
#define srnamc_1 srnamc_
/* Table of constant values */
static integer c__1 = 1;
static integer c__65 = 65;
static real c_b89 = (float)1.;
static real c_b103 = (float)0.;
static integer c__6 = 6;
static logical c_true = TRUE_;
static integer c__0 = 0;
static logical c_false = FALSE_;
/* Main program MAIN__() */ int main()
{
/* Initialized data */
static char snames[6][13] = {"cblas_sgemm ", "cblas_ssymm ", "cblas_strmm ", "cblas_strsm ", "cblas_ssyrk ", "cblas_ssyr2k"};
/* System generated locals */
integer i__1, i__2, i__3;
real r__1;
/* Builtin functions */
integer s_rsle(), do_lio(), e_rsle(), f_open(), s_wsfe(), do_fio(),
e_wsfe(), s_wsle(), e_wsle(), s_rsfe(), e_rsfe();
integer f_clos();
/* Local variables */
static integer nalf, idim[9];
static logical same;
static integer nbet, ntra;
static logical rewi;
extern /* Subroutine */ int schk1_(), schk2_(), schk3_(), schk4_(),
schk5_();
static real c__[4225] /* was [65][65] */, g[65];
static integer i__, j, n;
static logical fatal;
static real w[130];
extern doublereal sdiff_();
static logical trace;
static integer nidim;
extern /* Subroutine */ int smmch_();
static char snaps[32];
static integer isnum;
static logical ltest[6];
static real aa[4225], ab[8450] /* was [65][130] */, bb[4225], cc[
4225], as[4225], bs[4225], cs[4225], ct[65];
static logical sfatal, corder;
static char snamet[12], transa[1], transb[1];
static real thresh;
static logical rorder;
static integer layout;
static logical ltestt, tsterr;
extern /* Subroutine */ int cs3chke_();
static real alf[7], bet[7];
extern logical lse_();
static real eps, err;
char tmpchar;
/* Test program for the REAL Level 3 Blas. */
/* The program must be driven by a short data file. The first 13 records */
/* of the file are read using list-directed input, the last 6 records */
/* are read using the format ( A12, L2 ). An annotated example of a data */
/* file can be obtained by deleting the first 3 characters from the */
/* following 19 lines: */
/* 'SBLAT3.SNAP' NAME OF SNAPSHOT OUTPUT FILE */
/* -1 UNIT NUMBER OF SNAPSHOT FILE (NOT USED IF .LT. 0) */
/* F LOGICAL FLAG, T TO REWIND SNAPSHOT FILE AFTER EACH RECORD. */
/* F LOGICAL FLAG, T TO STOP ON FAILURES. */
/* T LOGICAL FLAG, T TO TEST ERROR EXITS. */
/* 2 0 TO TEST COLUMN-MAJOR, 1 TO TEST ROW-MAJOR, 2 TO TEST BOTH */
/* 16.0 THRESHOLD VALUE OF TEST RATIO */
/* 6 NUMBER OF VALUES OF N */
/* 0 1 2 3 5 9 VALUES OF N */
/* 3 NUMBER OF VALUES OF ALPHA */
/* 0.0 1.0 0.7 VALUES OF ALPHA */
/* 3 NUMBER OF VALUES OF BETA */
/* 0.0 1.0 1.3 VALUES OF BETA */
/* cblas_sgemm T PUT F FOR NO TEST. SAME COLUMNS. */
/* cblas_ssymm T PUT F FOR NO TEST. SAME COLUMNS. */
/* cblas_strmm T PUT F FOR NO TEST. SAME COLUMNS. */
/* cblas_strsm T PUT F FOR NO TEST. SAME COLUMNS. */
/* cblas_ssyrk T PUT F FOR NO TEST. SAME COLUMNS. */
/* cblas_ssyr2k T PUT F FOR NO TEST. SAME COLUMNS. */
/* See: */
/* Dongarra J. J., Du Croz J. J., Duff I. S. and Hammarling S. */
/* A Set of Level 3 Basic Linear Algebra Subprograms. */
/* Technical Memorandum No.88 (Revision 1), Mathematics and */
/* Computer Science Division, Argonne National Laboratory, 9700 */
/* South Cass Avenue, Argonne, Illinois 60439, US. */
/* -- Written on 8-February-1989. */
/* Jack Dongarra, Argonne National Laboratory. */
/* Iain Duff, AERE Harwell. */
/* Jeremy Du Croz, Numerical Algorithms Group Ltd. */
/* Sven Hammarling, Numerical Algorithms Group Ltd. */
/* .. Parameters .. */
/* .. Local Scalars .. */
/* .. Local Arrays .. */
/* .. External Functions .. */
/* .. External Subroutines .. */
/* .. Intrinsic Functions .. */
/* .. Scalars in Common .. */
/* .. Common blocks .. */
/* .. Data statements .. */
/* .. Executable Statements .. */
infoc_1.noutc = 6;
/* Read name and unit number for summary output file and open file. */
char line[80];
fgets(line,80,stdin);
sscanf(line,"'%s'",snaps);
fgets(line,80,stdin);
#ifdef USE64BITINT
sscanf(line,"%ld",&ntra);
#else
sscanf(line,"%d",&ntra);
#endif
trace = ntra >= 0;
if (trace) {
/* OPEN( NTRA, FILE = SNAPS, STATUS = 'NEW' ) */
/* o__1.ounit = ntra;
o__1.ofnmlen = 32;
o__1.ofnm = snaps;
o__1.orl = 0;
o__1.osta = 0;
o__1.oacc = 0;
o__1.ofm = 0;
o__1.oblnk = 0;
f_open(&o__1);*/
}
/* Read the flag that directs rewinding of the snapshot file. */
fgets(line,80,stdin);
sscanf(line,"%d",&rewi);
rewi = rewi && trace;
/* Read the flag that directs stopping on any failure. */
fgets(line,80,stdin);
sscanf(line,"%c",&tmpchar);
/* Read the flag that indicates whether error exits are to be tested. */
sfatal=FALSE_;
if (tmpchar=='T')sfatal=TRUE_;
fgets(line,80,stdin);
sscanf(line,"%c",&tmpchar);
/* Read the flag that indicates whether error exits are to be tested. */
tsterr=FALSE_;
if (tmpchar=='T')tsterr=TRUE_;
/* Read the flag that indicates whether row-major data layout to be tested. */
fgets(line,80,stdin);
sscanf(line,"%d",&layout);
/* Read the threshold value of the test ratio */
fgets(line,80,stdin);
sscanf(line,"%f",&thresh);
/* Read and check the parameter values for the tests. */
/* Values of N */
fgets(line,80,stdin);
#ifdef USE64BITINT
sscanf(line,"%ld",&nidim);
#else
sscanf(line,"%d",&nidim);
#endif
if (nidim < 1 || nidim > 9) {
fprintf(stderr,"NUMBER OF VALUES OF N IS LESS THAN 1 OR GREATER THAN 9");
goto L220;
}
fgets(line,80,stdin);
#ifdef USE64BITINT
sscanf(line,"%ld %ld %ld %ld %ld %ld %ld %ld %ld",&idim[0],&idim[1],&idim[2],
&idim[3],&idim[4],&idim[5],&idim[6],&idim[7],&idim[8]);
#else
sscanf(line,"%d %d %d %d %d %d %d %d %d",&idim[0],&idim[1],&idim[2],
&idim[3],&idim[4],&idim[5],&idim[6],&idim[7],&idim[8]);
#endif
i__1 = nidim;
for (i__ = 1; i__ <= i__1; ++i__) {
if (idim[i__ - 1] < 0 || idim[i__ - 1] > 65) {
fprintf(stderr,"VALUE OF N IS LESS THAN 0 OR GREATER THAN 65\n");
goto L220;
}
/* L10: */
}
/* Values of ALPHA */
fgets(line,80,stdin);
#ifdef USE64BITINT
sscanf(line,"%ld",&nalf);
#else
sscanf(line,"%d",&nalf);
#endif
if (nalf < 1 || nalf > 7) {
fprintf(stderr,"VALUE OF ALPHA IS LESS THAN 0 OR GREATER THAN 7\n");
goto L220;
}
fgets(line,80,stdin);
sscanf(line,"%f %f %f %f %f %f %f",&alf[0],&alf[1],&alf[2],&alf[3],&alf[4],&alf[5],&alf[6]);
/* Values of BETA */
fgets(line,80,stdin);
#ifdef USE64BITINT
sscanf(line,"%ld",&nbet);
#else
sscanf(line,"%d",&nbet);
#endif
if (nalf < 1 || nbet > 7) {
fprintf(stderr,"VALUE OF BETA IS LESS THAN 0 OR GREATER THAN 7\n");
goto L220;
}
fgets(line,80,stdin);
sscanf(line,"%f %f %f %f %f %f %f",&bet[0],&bet[1],&bet[2],&bet[3],&bet[4],&bet[5],&bet[6]);
/* Report values of parameters. */
printf("TESTS OF THE REAL LEVEL 3 BLAS\nTHE FOLLOWING PARAMETER VALUES WILL BE USED:\n");
printf(" FOR N");
for (i__ =1; i__ <=nidim;++i__) printf(" %d",idim[i__-1]);
printf("\n");
printf(" FOR ALPHA");
for (i__ =1; i__ <=nalf;++i__) printf(" %f",alf[i__-1]);
printf("\n");
printf(" FOR BETA");
for (i__ =1; i__ <=nbet;++i__) printf(" %f",bet[i__-1]);
printf("\n");
if (! tsterr) {
printf(" ERROR-EXITS WILL NOT BE TESTED\n");
}
printf("ROUTINES PASS COMPUTATIONAL TESTS IF TEST RATIO IS LESS THAN %f\n",thresh);
rorder = FALSE_;
corder = FALSE_;
if (layout == 2) {
rorder = TRUE_;
corder = TRUE_;
printf("COLUMN-MAJOR AND ROW-MAJOR DATA LAYOUTS ARE TESTED\n");
} else if (layout == 1) {
rorder = TRUE_;
printf("ROW-MAJOR DATA LAYOUT IS TESTED\n");
} else if (layout == 0) {
corder = TRUE_;
printf("COLUMN-MAJOR DATA LAYOUT IS TESTED\n");
}
/* Read names of subroutines and flags which indicate */
/* whether they are to be tested. */
for (i__ = 1; i__ <= 6; ++i__) {
ltest[i__ - 1] = FALSE_;
/* L20: */
}
L30:
if (! fgets(line,80,stdin)) {
goto L60;
}
i__1 = sscanf(line,"%12c %c",snamet,&tmpchar);
ltestt=FALSE_;
if (tmpchar=='T')ltestt=TRUE_;
if (i__1 < 2) {
goto L60;
}
for (i__ = 1; i__ <= 9; ++i__) {
if (s_cmp(snamet, snames[i__ - 1] , (ftnlen)12, (ftnlen)12) ==
0) {
goto L50;
}
/* L40: */
}
printf("SUBPROGRAM NAME %s NOT RECOGNIZED\n****** TESTS ABANDONED ******\n",snamet);
exit(1);
L50:
ltest[i__ - 1] = ltestt;
goto L30;
L60:
// f_clos(&cl__1);
/* Compute EPS (the machine precision). */
eps = (float)1.;
L70:
r__1 = eps + (float)1.;
if (sdiff_(&r__1, &c_b89) == (float)0.) {
goto L80;
}
eps *= (float).5;
goto L70;
L80:
eps += eps;
printf("RELATIVE MACHINE PRECISION IS TAKEN TO BE %9.1g\n",eps);
/* Check the reliability of SMMCH using exact data. */
n = 32;
i__1 = n;
for (j = 1; j <= i__1; ++j) {
i__2 = n;
for (i__ = 1; i__ <= i__2; ++i__) {
/* Computing MAX */
i__3 = i__ - j + 1;
ab[i__ + j * 65 - 66] = (real) f2cmax(i__3,0);
/* L90: */
}
ab[j + 4224] = (real) j;
ab[(j + 65) * 65 - 65] = (real) j;
c__[j - 1] = (float)0.;
/* L100: */
}
i__1 = n;
for (j = 1; j <= i__1; ++j) {
cc[j - 1] = (real) (j * ((j + 1) * j) / 2 - (j + 1) * j * (j - 1) / 3)
;
/* L110: */
}
/* CC holds the exact result. On exit from SMMCH CT holds */
/* the result computed by SMMCH. */
*(unsigned char *)transa = 'N';
*(unsigned char *)transb = 'N';
smmch_(transa, transb, &n, &c__1, &n, &c_b89, ab, &c__65, &ab[4225], &
c__65, &c_b103, c__, &c__65, ct, g, cc, &c__65, &eps, &err, &
fatal, &c__6, &c_true, (ftnlen)1, (ftnlen)1);
same = lse_(cc, ct, &n);
if (! same || err != (float)0.) {
printf("ERROR IN SMMCH - IN-LINE DOT PRODUCTS ARE BEING EVALUATED WRONGLY\n");
printf("SMMCH WAS CALLED WITH TRANSA = %s AND TRANSB = %s\n", transa,transb);
printf("AND RETURNED SAME = %c AND ERR = %12.3f.\n",(same==FALSE_? 'F':'T'),err);
printf("THIS MAY BE DUE TO FAULTS IN THE ARITHMETIC OR THE COMPILER.\n");
printf("****** TESTS ABANDONED ******\n");
exit(1);
}
*(unsigned char *)transb = 'T';
smmch_(transa, transb, &n, &c__1, &n, &c_b89, ab, &c__65, &ab[4225], &
c__65, &c_b103, c__, &c__65, ct, g, cc, &c__65, &eps, &err, &
fatal, &c__6, &c_true, (ftnlen)1, (ftnlen)1);
same = lse_(cc, ct, &n);
if (! same || err != (float)0.) {
printf("ERROR IN SMMCH - IN-LINE DOT PRODUCTS ARE BEING EVALUATED WRONGLY\n");
printf("SMMCH WAS CALLED WITH TRANSA = %s AND TRANSB = %s\n", transa,transb);
printf("AND RETURNED SAME = %c AND ERR = %12.3f.\n",(same==FALSE_? 'F':'T'),err);
printf("THIS MAY BE DUE TO FAULTS IN THE ARITHMETIC OR THE COMPILER.\n");
printf("****** TESTS ABANDONED ******\n");
exit(1);
}
i__1 = n;
for (j = 1; j <= i__1; ++j) {
ab[j + 4224] = (real) (n - j + 1);
ab[(j + 65) * 65 - 65] = (real) (n - j + 1);
/* L120: */
}
i__1 = n;
for (j = 1; j <= i__1; ++j) {
cc[n - j] = (real) (j * ((j + 1) * j) / 2 - (j + 1) * j * (j - 1) / 3)
;
/* L130: */
}
*(unsigned char *)transa = 'T';
*(unsigned char *)transb = 'N';
smmch_(transa, transb, &n, &c__1, &n, &c_b89, ab, &c__65, &ab[4225], &
c__65, &c_b103, c__, &c__65, ct, g, cc, &c__65, &eps, &err, &
fatal, &c__6, &c_true, (ftnlen)1, (ftnlen)1);
same = lse_(cc, ct, &n);
if (! same || err != (float)0.) {
printf("ERROR IN SMMCH - IN-LINE DOT PRODUCTS ARE BEING EVALUATED WRONGLY\n");
printf("SMMCH WAS CALLED WITH TRANSA = %s AND TRANSB = %s\n", transa,transb);
printf("AND RETURNED SAME = %c AND ERR = %12.3f.\n",(same==FALSE_? 'F':'T'),err);
printf("THIS MAY BE DUE TO FAULTS IN THE ARITHMETIC OR THE COMPILER.\n");
printf("****** TESTS ABANDONED ******\n");
exit(1);
}
*(unsigned char *)transb = 'T';
smmch_(transa, transb, &n, &c__1, &n, &c_b89, ab, &c__65, &ab[4225], &
c__65, &c_b103, c__, &c__65, ct, g, cc, &c__65, &eps, &err, &
fatal, &c__6, &c_true, (ftnlen)1, (ftnlen)1);
same = lse_(cc, ct, &n);
if (! same || err != (float)0.) {
printf("ERROR IN SMMCH - IN-LINE DOT PRODUCTS ARE BEING EVALUATED WRONGLY\n");
printf("SMMCH WAS CALLED WITH TRANSA = %s AND TRANSB = %s\n", transa,transb);
printf("AND RETURNED SAME = %c AND ERR = %12.3f.\n",(same==FALSE_? 'F':'T'),err);
printf("THIS MAY BE DUE TO FAULTS IN THE ARITHMETIC OR THE COMPILER.\n");
printf("****** TESTS ABANDONED ******\n");
exit(1);
}
/* Test each subroutine in turn. */
for (isnum = 1; isnum <= 6; ++isnum) {
if (! ltest[isnum - 1]) {
/* Subprogram is not to be tested. */
printf("%12s WAS NOT TESTED\n",snames[isnum-1]);
} else {
s_copy(srnamc_1.srnamt, snames[isnum - 1], (ftnlen)12, (
ftnlen)12);
/* Test error exits. */
if (tsterr) {
cs3chke_(snames[isnum - 1], (ftnlen)12);
}
/* Test computations. */
infoc_1.infot = 0;
infoc_1.ok = TRUE_;
fatal = FALSE_;
switch ((int)isnum) {
case 1: goto L140;
case 2: goto L150;
case 3: goto L160;
case 4: goto L160;
case 5: goto L170;
case 6: goto L180;
}
/* Test SGEMM, 01. */
L140:
if (corder) {
schk1_(snames[isnum - 1], &eps, &thresh, &c__6, &ntra,
&trace, &rewi, &fatal, &nidim, idim, &nalf, alf, &
nbet, bet, &c__65, ab, aa, as, &ab[4225], bb, bs, c__,
cc, cs, ct, g, &c__0, (ftnlen)12);
}
if (rorder) {
schk1_(snames[isnum - 1], &eps, &thresh, &c__6, &ntra,
&trace, &rewi, &fatal, &nidim, idim, &nalf, alf, &
nbet, bet, &c__65, ab, aa, as, &ab[4225], bb, bs, c__,
cc, cs, ct, g, &c__1, (ftnlen)12);
}
goto L190;
/* Test SSYMM, 02. */
L150:
if (corder) {
schk2_(snames[isnum - 1], &eps, &thresh, &c__6, &ntra,
&trace, &rewi, &fatal, &nidim, idim, &nalf, alf, &
nbet, bet, &c__65, ab, aa, as, &ab[4225], bb, bs, c__,
cc, cs, ct, g, &c__0, (ftnlen)12);
}
if (rorder) {
schk2_(snames[isnum - 1], &eps, &thresh, &c__6, &ntra,
&trace, &rewi, &fatal, &nidim, idim, &nalf, alf, &
nbet, bet, &c__65, ab, aa, as, &ab[4225], bb, bs, c__,
cc, cs, ct, g, &c__1, (ftnlen)12);
}
goto L190;
/* Test STRMM, 03, STRSM, 04. */
L160:
if (corder) {
schk3_(snames[isnum - 1], &eps, &thresh, &c__6, &ntra,
&trace, &rewi, &fatal, &nidim, idim, &nalf, alf, &
c__65, ab, aa, as, &ab[4225], bb, bs, ct, g, c__, &
c__0, (ftnlen)12);
}
if (rorder) {
schk3_(snames[isnum - 1], &eps, &thresh, &c__6, &ntra,
&trace, &rewi, &fatal, &nidim, idim, &nalf, alf, &
c__65, ab, aa, as, &ab[4225], bb, bs, ct, g, c__, &
c__1, (ftnlen)12);
}
goto L190;
/* Test SSYRK, 05. */
L170:
if (corder) {
schk4_(snames[isnum - 1], &eps, &thresh, &c__6, &ntra,
&trace, &rewi, &fatal, &nidim, idim, &nalf, alf, &
nbet, bet, &c__65, ab, aa, as, &ab[4225], bb, bs, c__,
cc, cs, ct, g, &c__0, (ftnlen)12);
}
if (rorder) {
schk4_(snames[isnum - 1], &eps, &thresh, &c__6, &ntra,
&trace, &rewi, &fatal, &nidim, idim, &nalf, alf, &
nbet, bet, &c__65, ab, aa, as, &ab[4225], bb, bs, c__,
cc, cs, ct, g, &c__1, (ftnlen)12);
}
goto L190;
/* Test SSYR2K, 06. */
L180:
if (corder) {
schk5_(snames[isnum - 1], &eps, &thresh, &c__6, &ntra,
&trace, &rewi, &fatal, &nidim, idim, &nalf, alf, &
nbet, bet, &c__65, ab, aa, as, bb, bs, c__, cc, cs,
ct, g, w, &c__0, (ftnlen)12);
}
if (rorder) {
schk5_(snames[isnum - 1], &eps, &thresh, &c__6, &ntra,
&trace, &rewi, &fatal, &nidim, idim, &nalf, alf, &
nbet, bet, &c__65, ab, aa, as, bb, bs, c__, cc, cs,
ct, g, w, &c__1, (ftnlen)12);
}
goto L190;
L190:
if (fatal && sfatal) {
goto L210;
}
}
/* L200: */
}
printf("\nEND OF TESTS\n");
goto L230;
L210:
printf("\n****** FATAL ERROR - TESTS ABANDONED ******\n");
goto L230;
L220:
printf("AMEND DATA FILE OR INCREASE ARRAY SIZES IN PROGRAM\n");
printf("****** TESTS ABANDONED ******\n");
L230:
if (trace) {
// f_clos(&cl__1);
}
// f_clos(&cl__1);
exit(0);
/* End of SBLAT3. */
} /* MAIN__ */
/* Subroutine */ int schk1_(sname, eps, thresh, nout, ntra, trace, rewi,
fatal, nidim, idim, nalf, alf, nbet, bet, nmax, a, aa, as, b, bb, bs,
c__, cc, cs, ct, g, iorder, sname_len)
char *sname;
real *eps, *thresh;
integer *nout, *ntra;
logical *trace, *rewi, *fatal;
integer *nidim, *idim, *nalf;
real *alf;
integer *nbet;
real *bet;
integer *nmax;
real *a, *aa, *as, *b, *bb, *bs, *c__, *cc, *cs, *ct, *g;
integer *iorder;
ftnlen sname_len;
{
/* Initialized data */
static char ich[3+1] = "NTC";
/* System generated locals */
integer a_dim1, a_offset, b_dim1, b_offset, c_dim1, c_offset, i__1, i__2,
i__3, i__4, i__5, i__6;
/* Builtin functions */
integer f_rew(), s_wsfe(), e_wsfe(), do_fio();
/* Local variables */
static real beta;
static integer ldas, ldbs, ldcs;
static logical same, null;
static integer i__, k, m, n;
static real alpha;
static logical isame[13];
static logical trana, tranb;
static integer nargs;
static logical reset;
extern /* Subroutine */ void sprcn1_();
extern /* Subroutine */ int smake_();
extern /* Subroutine */ int smmch_();
static integer ia, ib, ma, mb, na, nb, nc, ik, im, in, ks, ms, ns;
extern /* Subroutine */ int csgemm_();
static char tranas[1], tranbs[1], transa[1], transb[1];
static real errmax;
extern logical lseres_();
extern logical lse_();
static integer ica, icb, laa, lbb, lda, lcc, ldb, ldc;
static real als, bls;
extern logical lse_();
static real err;
/* Tests SGEMM. */
/* Auxiliary routine for test program for Level 3 Blas. */
/* -- Written on 8-February-1989. */
/* Jack Dongarra, Argonne National Laboratory. */
/* Iain Duff, AERE Harwell. */
/* Jeremy Du Croz, Numerical Algorithms Group Ltd. */
/* Sven Hammarling, Numerical Algorithms Group Ltd. */
/* .. Parameters .. */
/* .. Scalar Arguments .. */
/* .. Array Arguments .. */
/* .. Local Scalars .. */
/* .. Local Arrays .. */
/* .. External Functions .. */
/* .. External Subroutines .. */
/* .. Intrinsic Functions .. */
/* .. Scalars in Common .. */
/* .. Common blocks .. */
/* .. Data statements .. */
/* Parameter adjustments */
--idim;
--alf;
--bet;
--g;
--ct;
--cs;
--cc;
c_dim1 = *nmax;
c_offset = 1 + c_dim1 * 1;
c__ -= c_offset;
--bs;
--bb;
b_dim1 = *nmax;
b_offset = 1 + b_dim1 * 1;
b -= b_offset;
--as;
--aa;
a_dim1 = *nmax;
a_offset = 1 + a_dim1 * 1;
a -= a_offset;
/* Function Body */
/* .. Executable Statements .. */
nargs = 13;
nc = 0;
reset = TRUE_;
errmax = (float)0.;
i__1 = *nidim;
for (im = 1; im <= i__1; ++im) {
m = idim[im];
i__2 = *nidim;
for (in = 1; in <= i__2; ++in) {
n = idim[in];
/* Set LDC to 1 more than minimum value if room. */
ldc = m;
if (ldc < *nmax) {
++ldc;
}
/* Skip tests if not enough room. */
if (ldc > *nmax) {
goto L100;
}
lcc = ldc * n;
null = n <= 0 || m <= 0;
i__3 = *nidim;
for (ik = 1; ik <= i__3; ++ik) {
k = idim[ik];
for (ica = 1; ica <= 3; ++ica) {
*(unsigned char *)transa = *(unsigned char *)&ich[ica - 1]
;
trana = *(unsigned char *)transa == 'T' || *(unsigned
char *)transa == 'C';
if (trana) {
ma = k;
na = m;
} else {
ma = m;
na = k;
}
/* Set LDA to 1 more than minimum value if room. */
lda = ma;
if (lda < *nmax) {
++lda;
}
/* Skip tests if not enough room. */
if (lda > *nmax) {
goto L80;
}
laa = lda * na;
/* Generate the matrix A. */
smake_("GE", " ", " ", &ma, &na, &a[a_offset], nmax, &aa[
1], &lda, &reset, &c_b103, (ftnlen)2, (ftnlen)1, (
ftnlen)1);
for (icb = 1; icb <= 3; ++icb) {
*(unsigned char *)transb = *(unsigned char *)&ich[icb
- 1];
tranb = *(unsigned char *)transb == 'T' || *(unsigned
char *)transb == 'C';
if (tranb) {
mb = n;
nb = k;
} else {
mb = k;
nb = n;
}
/* Set LDB to 1 more than minimum value if room. */
ldb = mb;
if (ldb < *nmax) {
++ldb;
}
/* Skip tests if not enough room. */
if (ldb > *nmax) {
goto L70;
}
lbb = ldb * nb;
/* Generate the matrix B. */
smake_("GE", " ", " ", &mb, &nb, &b[b_offset], nmax, &
bb[1], &ldb, &reset, &c_b103, (ftnlen)2, (
ftnlen)1, (ftnlen)1);
i__4 = *nalf;
for (ia = 1; ia <= i__4; ++ia) {
alpha = alf[ia];
i__5 = *nbet;
for (ib = 1; ib <= i__5; ++ib) {
beta = bet[ib];
/* Generate the matrix C. */
smake_("GE", " ", " ", &m, &n, &c__[c_offset],
nmax, &cc[1], &ldc, &reset, &c_b103,
(ftnlen)2, (ftnlen)1, (ftnlen)1);
++nc;
/* Save every datum before calling the */
/* subroutine. */
*(unsigned char *)tranas = *(unsigned char *)
transa;
*(unsigned char *)tranbs = *(unsigned char *)
transb;
ms = m;
ns = n;
ks = k;
als = alpha;
i__6 = laa;
for (i__ = 1; i__ <= i__6; ++i__) {
as[i__] = aa[i__];
/* L10: */
}
ldas = lda;
i__6 = lbb;
for (i__ = 1; i__ <= i__6; ++i__) {
bs[i__] = bb[i__];
/* L20: */
}
ldbs = ldb;
bls = beta;
i__6 = lcc;
for (i__ = 1; i__ <= i__6; ++i__) {
cs[i__] = cc[i__];
/* L30: */
}
ldcs = ldc;
/* Call the subroutine. */
if (*trace) {
sprcn1_(ntra, &nc, sname, iorder, transa,
transb, &m, &n, &k, &alpha, &lda,
&ldb, &beta, &ldc, (ftnlen)12, (
ftnlen)1, (ftnlen)1);
}
if (*rewi) {
// f_rew(&al__1);
}
csgemm_(iorder, transa, transb, &m, &n, &k, &
alpha, &aa[1], &lda, &bb[1], &ldb, &
beta, &cc[1], &ldc, (ftnlen)1, (
ftnlen)1);
/* Check if error-exit was taken incorrectly. */
if (! infoc_1.ok) {
printf(" *** FATAL ERROR - ERROR-CALL MYEXIT TAKEN ON VALID CALL\n");
*fatal = TRUE_;
goto L120;
}
/* See what data changed inside subroutines. */
isame[0] = *(unsigned char *)transa == *(
unsigned char *)tranas;
isame[1] = *(unsigned char *)transb == *(
unsigned char *)tranbs;
isame[2] = ms == m;
isame[3] = ns == n;
isame[4] = ks == k;
isame[5] = als == alpha;
isame[6] = lse_(&as[1], &aa[1], &laa);
isame[7] = ldas == lda;
isame[8] = lse_(&bs[1], &bb[1], &lbb);
isame[9] = ldbs == ldb;
isame[10] = bls == beta;
if (null) {
isame[11] = lse_(&cs[1], &cc[1], &lcc);
} else {
isame[11] = lseres_("GE", " ", &m, &n, &
cs[1], &cc[1], &ldc, (ftnlen)2, (
ftnlen)1);
}
isame[12] = ldcs == ldc;
/* If data was incorrectly changed, report */
/* and return. */
same = TRUE_;
i__6 = nargs;
for (i__ = 1; i__ <= i__6; ++i__) {
same = same && isame[i__ - 1];
if (! isame[i__ - 1]) {
printf(" ******* FATAL ERROR - PARAMETER NUMBER %d WAS CHANGED INCORRECTLY *******\n",i__);
}
/* L40: */
}
if (! same) {
*fatal = TRUE_;
goto L120;
}
if (! null) {
/* Check the result. */
smmch_(transa, transb, &m, &n, &k, &alpha,
&a[a_offset], nmax, &b[b_offset],
nmax, &beta, &c__[c_offset],
nmax, &ct[1], &g[1], &cc[1], &ldc,
eps, &err, fatal, nout, &c_true,
(ftnlen)1, (ftnlen)1);
errmax = dmax(errmax,err);
/* If got really bad answer, report and */
/* return. */
if (*fatal) {
goto L120;
}
}
/* L50: */
}
/* L60: */
}
L70:
;
}
L80:
;
}
/* L90: */
}
L100:
;
}
/* L110: */
}
/* Report result. */
if (errmax < *thresh) {
if (*iorder == 0) {
printf("%s PASSED THE COLUMN-MAJOR COMPUTATIONAL TESTS (%d CALLS)\n",sname,nc);
}
if (*iorder == 1) {
printf("%s PASSED THE ROW-MAJOR COMPUTATIONAL TESTS (%d CALLS)\n",sname,nc);
}
} else {
if (*iorder == 0) {
printf("%s COMPLETED THE COLUMN-MAJOR COMPUTATIONAL TESTS (%d CALLS)/n",sname,nc);
printf("***** BUT WITH MAXIMUM TEST RATIO %8.2f - SUSPECT *******/n",errmax);
}
if (*iorder == 1) {
printf("%s COMPLETED THE ROW-MAJOR COMPUTATIONAL TESTS (%d CALLS)/n",sname,nc);
printf("***** BUT WITH MAXIMUM TEST RATIO %8.2f - SUSPECT *******/n",errmax);
}
}
goto L130;
L120:
printf(" ******* %s FAILED ON CALL NUMBER:\n",sname);
sprcn1_(nout, &nc, sname, iorder, transa, transb, &m, &n, &k, &alpha, &
lda, &ldb, &beta, &ldc, (ftnlen)12, (ftnlen)1, (ftnlen)1);
L130:
return 0;
/* 9995 FORMAT( 1X, I6, ': ', A12,'(''', A1, ''',''', A1, ''',', */
/* $ 3( I3, ',' ), F4.1, ', A,', I3, ', B,', I3, ',', F4.1, ', ', */
/* $ 'C,', I3, ').' ) */
/* End of SCHK1. */
} /* schk1_ */
/* Subroutine */ void sprcn1_(nout, nc, sname, iorder, transa, transb, m, n, k,
alpha, lda, ldb, beta, ldc, sname_len, transa_len, transb_len)
integer *nout, *nc;
char *sname;
integer *iorder;
char *transa, *transb;
integer *m, *n, *k;
real *alpha;
integer *lda, *ldb;
real *beta;
integer *ldc;
ftnlen sname_len;
ftnlen transa_len;
ftnlen transb_len;
{
/* Builtin functions */
integer s_wsfe(), do_fio(), e_wsfe();
/* Local variables */
static char crc[14], cta[14], ctb[14];
if (*(unsigned char *)transa == 'N') {
s_copy(cta, " CblasNoTrans", (ftnlen)14, (ftnlen)14);
} else if (*(unsigned char *)transa == 'T') {
s_copy(cta, " CblasTrans", (ftnlen)14, (ftnlen)14);
} else {
s_copy(cta, "CblasConjTrans", (ftnlen)14, (ftnlen)14);
}
if (*(unsigned char *)transb == 'N') {
s_copy(ctb, " CblasNoTrans", (ftnlen)14, (ftnlen)14);
} else if (*(unsigned char *)transb == 'T') {
s_copy(ctb, " CblasTrans", (ftnlen)14, (ftnlen)14);
} else {
s_copy(ctb, "CblasConjTrans", (ftnlen)14, (ftnlen)14);
}
if (*iorder == 1) {
s_copy(crc, " CblasRowMajor", (ftnlen)14, (ftnlen)14);
} else {
s_copy(crc, " CblasColMajor", (ftnlen)14, (ftnlen)14);
}
printf("%6d: %s %s %s %s\n",*nc,sname,crc,cta,ctb);
printf("%d %d %d %4.1f A, %d, B, %d, %4.1f, C, %d.\n",*m,*n,*k,*alpha,*lda,*ldb,*beta,*ldc);
} /* sprcn1_ */
/* Subroutine */ int schk2_(sname, eps, thresh, nout, ntra, trace, rewi,
fatal, nidim, idim, nalf, alf, nbet, bet, nmax, a, aa, as, b, bb, bs,
c__, cc, cs, ct, g, iorder, sname_len)
char *sname;
real *eps, *thresh;
integer *nout, *ntra;
logical *trace, *rewi, *fatal;
integer *nidim, *idim, *nalf;
real *alf;
integer *nbet;
real *bet;
integer *nmax;
real *a, *aa, *as, *b, *bb, *bs, *c__, *cc, *cs, *ct, *g;
integer *iorder;
ftnlen sname_len;
{
/* Initialized data */
static char ichs[2+1] = "LR";
static char ichu[2+1] = "UL";
/* System generated locals */
integer a_dim1, a_offset, b_dim1, b_offset, c_dim1, c_offset, i__1, i__2,
i__3, i__4, i__5;
/* Builtin functions */
integer f_rew(), s_wsfe(), e_wsfe(), do_fio();
/* Local variables */
static real beta;
static integer ldas, ldbs, ldcs;
static logical same;
static char side[1];
static logical left, null;
static char uplo[1];
static integer i__, m, n;
static real alpha;
static logical isame[13];
static char sides[1];
static integer nargs;
static logical reset;
static char uplos[1];
static integer ia, ib, na, nc, im, in, ms, ns;
static real errmax;
extern logical lseres_();
extern /* Subroutine */ int cssymm_();
extern void sprcn2_();
extern int smake_();
extern int smmch_();
static integer laa, lbb, lda, lcc, ldb, ldc, ics;
static real als, bls;
static integer icu;
extern logical lse_();
static real err;
/* Tests SSYMM. */
/* Auxiliary routine for test program for Level 3 Blas. */
/* -- Written on 8-February-1989. */
/* Jack Dongarra, Argonne National Laboratory. */
/* Iain Duff, AERE Harwell. */
/* Jeremy Du Croz, Numerical Algorithms Group Ltd. */
/* Sven Hammarling, Numerical Algorithms Group Ltd. */
/* .. Parameters .. */
/* .. Scalar Arguments .. */
/* .. Array Arguments .. */
/* .. Local Scalars .. */
/* .. Local Arrays .. */
/* .. External Functions .. */
/* .. External Subroutines .. */
/* .. Intrinsic Functions .. */
/* .. Scalars in Common .. */
/* .. Common blocks .. */
/* .. Data statements .. */
/* Parameter adjustments */
--idim;
--alf;
--bet;
--g;
--ct;
--cs;
--cc;
c_dim1 = *nmax;
c_offset = 1 + c_dim1 * 1;
c__ -= c_offset;
--bs;
--bb;
b_dim1 = *nmax;
b_offset = 1 + b_dim1 * 1;
b -= b_offset;
--as;
--aa;
a_dim1 = *nmax;
a_offset = 1 + a_dim1 * 1;
a -= a_offset;
/* Function Body */
/* .. Executable Statements .. */
nargs = 12;
nc = 0;
reset = TRUE_;
errmax = (float)0.;
i__1 = *nidim;
for (im = 1; im <= i__1; ++im) {
m = idim[im];
i__2 = *nidim;
for (in = 1; in <= i__2; ++in) {
n = idim[in];
/* Set LDC to 1 more than minimum value if room. */
ldc = m;
if (ldc < *nmax) {
++ldc;
}
/* Skip tests if not enough room. */
if (ldc > *nmax) {
goto L90;
}
lcc = ldc * n;
null = n <= 0 || m <= 0;
/* Set LDB to 1 more than minimum value if room. */
ldb = m;
if (ldb < *nmax) {
++ldb;
}
/* Skip tests if not enough room. */
if (ldb > *nmax) {
goto L90;
}
lbb = ldb * n;
/* Generate the matrix B. */
smake_("GE", " ", " ", &m, &n, &b[b_offset], nmax, &bb[1], &ldb, &
reset, &c_b103, (ftnlen)2, (ftnlen)1, (ftnlen)1);
for (ics = 1; ics <= 2; ++ics) {
*(unsigned char *)side = *(unsigned char *)&ichs[ics - 1];
left = *(unsigned char *)side == 'L';
if (left) {
na = m;
} else {
na = n;
}
/* Set LDA to 1 more than minimum value if room. */
lda = na;
if (lda < *nmax) {
++lda;
}
/* Skip tests if not enough room. */
if (lda > *nmax) {
goto L80;
}
laa = lda * na;
for (icu = 1; icu <= 2; ++icu) {
*(unsigned char *)uplo = *(unsigned char *)&ichu[icu - 1];
/* Generate the symmetric matrix A. */
smake_("SY", uplo, " ", &na, &na, &a[a_offset], nmax, &aa[
1], &lda, &reset, &c_b103, (ftnlen)2, (ftnlen)1, (
ftnlen)1);
i__3 = *nalf;
for (ia = 1; ia <= i__3; ++ia) {
alpha = alf[ia];
i__4 = *nbet;
for (ib = 1; ib <= i__4; ++ib) {
beta = bet[ib];
/* Generate the matrix C. */
smake_("GE", " ", " ", &m, &n, &c__[c_offset],
nmax, &cc[1], &ldc, &reset, &c_b103, (
ftnlen)2, (ftnlen)1, (ftnlen)1);
++nc;
/* Save every datum before calling the */
/* subroutine. */
*(unsigned char *)sides = *(unsigned char *)side;
*(unsigned char *)uplos = *(unsigned char *)uplo;
ms = m;
ns = n;
als = alpha;
i__5 = laa;
for (i__ = 1; i__ <= i__5; ++i__) {
as[i__] = aa[i__];
/* L10: */
}
ldas = lda;
i__5 = lbb;
for (i__ = 1; i__ <= i__5; ++i__) {
bs[i__] = bb[i__];
/* L20: */
}
ldbs = ldb;
bls = beta;
i__5 = lcc;
for (i__ = 1; i__ <= i__5; ++i__) {
cs[i__] = cc[i__];
/* L30: */
}
ldcs = ldc;
/* Call the subroutine. */
if (*trace) {
sprcn2_(ntra, &nc, sname, iorder, side, uplo,
&m, &n, &alpha, &lda, &ldb, &beta, &
ldc, (ftnlen)12, (ftnlen)1, (ftnlen)1)
;
}
if (*rewi) {
// f_rew(&al__1);
}
cssymm_(iorder, side, uplo, &m, &n, &alpha, &aa[1]
, &lda, &bb[1], &ldb, &beta, &cc[1], &ldc,
(ftnlen)1, (ftnlen)1);
/* Check if error-exit was taken incorrectly. */
if (! infoc_1.ok) {
printf("*** FATAL ERROR - ERROR-CALL MYEXIT TAKEN ON VALID CALL\n");
*fatal = TRUE_;
goto L110;
}
/* See what data changed inside subroutines. */
isame[0] = *(unsigned char *)sides == *(unsigned
char *)side;
isame[1] = *(unsigned char *)uplos == *(unsigned
char *)uplo;
isame[2] = ms == m;
isame[3] = ns == n;
isame[4] = als == alpha;
isame[5] = lse_(&as[1], &aa[1], &laa);
isame[6] = ldas == lda;
isame[7] = lse_(&bs[1], &bb[1], &lbb);
isame[8] = ldbs == ldb;
isame[9] = bls == beta;
if (null) {
isame[10] = lse_(&cs[1], &cc[1], &lcc);
} else {
isame[10] = lseres_("GE", " ", &m, &n, &cs[1],
&cc[1], &ldc, (ftnlen)2, (ftnlen)1);
}
isame[11] = ldcs == ldc;
/* If data was incorrectly changed, report and */
/* return. */
same = TRUE_;
i__5 = nargs;
for (i__ = 1; i__ <= i__5; ++i__) {
same = same && isame[i__ - 1];
if (! isame[i__ - 1]) {
printf(" ******* FATAL ERROR - PARAMETER NUMBER %d WAS CHANGED INCORRECTLY *******\n",i__);
}
/* L40: */
}
if (! same) {
*fatal = TRUE_;
goto L110;
}
if (! null) {
/* Check the result. */
if (left) {
smmch_("N", "N", &m, &n, &m, &alpha, &a[
a_offset], nmax, &b[b_offset],
nmax, &beta, &c__[c_offset], nmax,
&ct[1], &g[1], &cc[1], &ldc, eps,
&err, fatal, nout, &c_true, (
ftnlen)1, (ftnlen)1);
} else {
smmch_("N", "N", &m, &n, &n, &alpha, &b[
b_offset], nmax, &a[a_offset],
nmax, &beta, &c__[c_offset], nmax,
&ct[1], &g[1], &cc[1], &ldc, eps,
&err, fatal, nout, &c_true, (
ftnlen)1, (ftnlen)1);
}
errmax = dmax(errmax,err);
/* If got really bad answer, report and */
/* return. */
if (*fatal) {
goto L110;
}
}
/* L50: */
}
/* L60: */
}
/* L70: */
}
L80:
;
}
L90:
;
}
/* L100: */
}
/* Report result. */
if (errmax < *thresh) {
if (*iorder == 0) {
printf("%s PASSED THE COLUMN-MAJOR COMPUTATIONAL TESTS (%d CALLS)\n",sname,nc);
}
if (*iorder == 1) {
printf("%s PASSED THE ROW-MAJOR COMPUTATIONAL TESTS (%d CALLS)\n",sname,nc);
}
} else {
if (*iorder == 0) {
printf("%s COMPLETED THE COLUMN-MAJOR COMPUTATIONAL TESTS (%d CALLS)/n",sname,nc);
printf("***** BUT WITH MAXIMUM TEST RATIO %8.2f - SUSPECT *******/n",errmax);
}
if (*iorder == 1) {
printf("%s COMPLETED THE ROW-MAJOR COMPUTATIONAL TESTS (%d CALLS)/n",sname,nc);
printf("***** BUT WITH MAXIMUM TEST RATIO %8.2f - SUSPECT *******/n",errmax);
}
}
goto L120;
L110:
printf(" ******* %s FAILED ON CALL NUMBER:\n",sname);
sprcn2_(nout, &nc, sname, iorder, side, uplo, &m, &n, &alpha, &lda, &ldb,
&beta, &ldc, (ftnlen)12, (ftnlen)1, (ftnlen)1);
L120:
return 0;
/* 9995 FORMAT( 1X, I6, ': ', A12,'(', 2( '''', A1, ''',' ), 2( I3, ',' ), */
/* $ F4.1, ', A,', I3, ', B,', I3, ',', F4.1, ', C,', I3, ') ', */
/* $ ' .' ) */
/* End of SCHK2. */
} /* schk2_ */
/* Subroutine */ void sprcn2_(nout, nc, sname, iorder, side, uplo, m, n, alpha,
lda, ldb, beta, ldc, sname_len, side_len, uplo_len)
integer *nout, *nc;
char *sname;
integer *iorder;
char *side, *uplo;
integer *m, *n;
real *alpha;
integer *lda, *ldb;
real *beta;
integer *ldc;
ftnlen sname_len;
ftnlen side_len;
ftnlen uplo_len;
{
/* Builtin functions */
integer s_wsfe(), do_fio(), e_wsfe();
/* Local variables */
static char cs[14], cu[14], crc[14];
if (*(unsigned char *)side == 'L') {
s_copy(cs, " CblasLeft", (ftnlen)14, (ftnlen)14);
} else {
s_copy(cs, " CblasRight", (ftnlen)14, (ftnlen)14);
}
if (*(unsigned char *)uplo == 'U') {
s_copy(cu, " CblasUpper", (ftnlen)14, (ftnlen)14);
} else {
s_copy(cu, " CblasLower", (ftnlen)14, (ftnlen)14);
}
if (*iorder == 1) {
s_copy(crc, " CblasRowMajor", (ftnlen)14, (ftnlen)14);
} else {
s_copy(crc, " CblasColMajor", (ftnlen)14, (ftnlen)14);
}
printf("%6d: %s %s %s %s\n",*nc,sname,crc,cs,cu);
printf("%d %d %4.1f A, %d, B, %d, %4.1f C, %d.\n",*m,*n,*alpha,*lda,*ldb,*beta,*ldc);
} /* sprcn2_ */
/* Subroutine */ int schk3_(sname, eps, thresh, nout, ntra, trace, rewi,
fatal, nidim, idim, nalf, alf, nmax, a, aa, as, b, bb, bs, ct, g, c__,
iorder, sname_len)
char *sname;
real *eps, *thresh;
integer *nout, *ntra;
logical *trace, *rewi, *fatal;
integer *nidim, *idim, *nalf;
real *alf;
integer *nmax;
real *a, *aa, *as, *b, *bb, *bs, *ct, *g, *c__;
integer *iorder;
ftnlen sname_len;
{
/* Initialized data */
static char ichu[2+1] = "UL";
static char icht[3+1] = "NTC";
static char ichd[2+1] = "UN";
static char ichs[2+1] = "LR";
/* System generated locals */
integer a_dim1, a_offset, b_dim1, b_offset, c_dim1, c_offset, i__1, i__2,
i__3, i__4, i__5;
/* Builtin functions */
integer f_rew(), s_wsfe(), e_wsfe(), do_fio();
/* Local variables */
static char diag[1];
static integer ldas, ldbs;
static logical same;
static char side[1];
static logical left, null;
static char uplo[1];
static integer i__, j, m, n;
static real alpha;
static char diags[1];
static logical isame[13];
static char sides[1];
static integer nargs;
static logical reset;
static char uplos[1];
extern /* Subroutine */ void sprcn3_();
static integer ia, na, nc, im, in, ms, ns;
static char tranas[1], transa[1];
static real errmax;
extern int smake_();
extern int smmch_();
extern logical lseres_();
extern /* Subroutine */ int cstrmm_(), cstrsm_();
static integer laa, icd, lbb, lda, ldb, ics;
static real als;
static integer ict, icu;
extern logical lse_();
static real err;
/* Tests STRMM and STRSM. */
/* Auxiliary routine for test program for Level 3 Blas. */
/* -- Written on 8-February-1989. */
/* Jack Dongarra, Argonne National Laboratory. */
/* Iain Duff, AERE Harwell. */
/* Jeremy Du Croz, Numerical Algorithms Group Ltd. */
/* Sven Hammarling, Numerical Algorithms Group Ltd. */
/* .. Parameters .. */
/* .. Scalar Arguments .. */
/* .. Array Arguments .. */
/* .. Local Scalars .. */
/* .. Local Arrays .. */
/* .. External Functions .. */
/* .. External Subroutines .. */
/* .. Intrinsic Functions .. */
/* .. Scalars in Common .. */
/* .. Common blocks .. */
/* .. Data statements .. */
/* Parameter adjustments */
--idim;
--alf;
c_dim1 = *nmax;
c_offset = 1 + c_dim1 * 1;
c__ -= c_offset;
--g;
--ct;
--bs;
--bb;
b_dim1 = *nmax;
b_offset = 1 + b_dim1 * 1;
b -= b_offset;
--as;
--aa;
a_dim1 = *nmax;
a_offset = 1 + a_dim1 * 1;
a -= a_offset;
/* Function Body */
/* .. Executable Statements .. */
nargs = 11;
nc = 0;
reset = TRUE_;
errmax = (float)0.;
/* Set up zero matrix for SMMCH. */
i__1 = *nmax;
for (j = 1; j <= i__1; ++j) {
i__2 = *nmax;
for (i__ = 1; i__ <= i__2; ++i__) {
c__[i__ + j * c_dim1] = (float)0.;
/* L10: */
}
/* L20: */
}
i__1 = *nidim;
for (im = 1; im <= i__1; ++im) {
m = idim[im];
i__2 = *nidim;
for (in = 1; in <= i__2; ++in) {
n = idim[in];
/* Set LDB to 1 more than minimum value if room. */
ldb = m;
if (ldb < *nmax) {
++ldb;
}
/* Skip tests if not enough room. */
if (ldb > *nmax) {
goto L130;
}
lbb = ldb * n;
null = m <= 0 || n <= 0;
for (ics = 1; ics <= 2; ++ics) {
*(unsigned char *)side = *(unsigned char *)&ichs[ics - 1];
left = *(unsigned char *)side == 'L';
if (left) {
na = m;
} else {
na = n;
}
/* Set LDA to 1 more than minimum value if room. */
lda = na;
if (lda < *nmax) {
++lda;
}
/* Skip tests if not enough room. */
if (lda > *nmax) {
goto L130;
}
laa = lda * na;
for (icu = 1; icu <= 2; ++icu) {
*(unsigned char *)uplo = *(unsigned char *)&ichu[icu - 1];
for (ict = 1; ict <= 3; ++ict) {
*(unsigned char *)transa = *(unsigned char *)&icht[
ict - 1];
for (icd = 1; icd <= 2; ++icd) {
*(unsigned char *)diag = *(unsigned char *)&ichd[
icd - 1];
i__3 = *nalf;
for (ia = 1; ia <= i__3; ++ia) {
alpha = alf[ia];
/* Generate the matrix A. */
smake_("TR", uplo, diag, &na, &na, &a[
a_offset], nmax, &aa[1], &lda, &reset,
&c_b103, (ftnlen)2, (ftnlen)1, (
ftnlen)1);
/* Generate the matrix B. */
smake_("GE", " ", " ", &m, &n, &b[b_offset],
nmax, &bb[1], &ldb, &reset, &c_b103, (
ftnlen)2, (ftnlen)1, (ftnlen)1);
++nc;
/* Save every datum before calling the */
/* subroutine. */
*(unsigned char *)sides = *(unsigned char *)
side;
*(unsigned char *)uplos = *(unsigned char *)
uplo;
*(unsigned char *)tranas = *(unsigned char *)
transa;
*(unsigned char *)diags = *(unsigned char *)
diag;
ms = m;
ns = n;
als = alpha;
i__4 = laa;
for (i__ = 1; i__ <= i__4; ++i__) {
as[i__] = aa[i__];
/* L30: */
}
ldas = lda;
i__4 = lbb;
for (i__ = 1; i__ <= i__4; ++i__) {
bs[i__] = bb[i__];
/* L40: */
}
ldbs = ldb;
/* Call the subroutine. */
if (s_cmp(sname + 9, "mm", (ftnlen)2, (ftnlen)
2) == 0) {
if (*trace) {
sprcn3_(ntra, &nc, sname, iorder,
side, uplo, transa, diag, &m,
&n, &alpha, &lda, &ldb, (
ftnlen)12, (ftnlen)1, (ftnlen)
1, (ftnlen)1, (ftnlen)1);
}
if (*rewi) {
// f_rew(&al__1);
}
cstrmm_(iorder, side, uplo, transa, diag,
&m, &n, &alpha, &aa[1], &lda, &bb[
1], &ldb, (ftnlen)1, (ftnlen)1, (
ftnlen)1, (ftnlen)1);
} else if (s_cmp(sname + 9, "sm", (ftnlen)2, (
ftnlen)2) == 0) {
if (*trace) {
sprcn3_(ntra, &nc, sname, iorder,
side, uplo, transa, diag, &m,
&n, &alpha, &lda, &ldb, (
ftnlen)12, (ftnlen)1, (ftnlen)
1, (ftnlen)1, (ftnlen)1);
}
if (*rewi) {
// f_rew(&al__1);
}
cstrsm_(iorder, side, uplo, transa, diag,
&m, &n, &alpha, &aa[1], &lda, &bb[
1], &ldb, (ftnlen)1, (ftnlen)1, (
ftnlen)1, (ftnlen)1);
}
/* Check if error-exit was taken incorrectly. */
if (! infoc_1.ok) {
printf("*** FATAL ERROR - ERROR-CALL MYEXIT TAKEN ON VALID CALL\n");
*fatal = TRUE_;
goto L150;
}
/* See what data changed inside subroutines. */
isame[0] = *(unsigned char *)sides == *(
unsigned char *)side;
isame[1] = *(unsigned char *)uplos == *(
unsigned char *)uplo;
isame[2] = *(unsigned char *)tranas == *(
unsigned char *)transa;
isame[3] = *(unsigned char *)diags == *(
unsigned char *)diag;
isame[4] = ms == m;
isame[5] = ns == n;
isame[6] = als == alpha;
isame[7] = lse_(&as[1], &aa[1], &laa);
isame[8] = ldas == lda;
if (null) {
isame[9] = lse_(&bs[1], &bb[1], &lbb);
} else {
isame[9] = lseres_("GE", " ", &m, &n, &bs[
1], &bb[1], &ldb, (ftnlen)2, (
ftnlen)1);
}
isame[10] = ldbs == ldb;
/* If data was incorrectly changed, report and */
/* return. */
same = TRUE_;
i__4 = nargs;
for (i__ = 1; i__ <= i__4; ++i__) {
same = same && isame[i__ - 1];
if (! isame[i__ - 1]) {
printf(" ******* FATAL ERROR - PARAMETER NUMBER %d WAS CHANGED INCORRECTLY *******\n",i__);
}
/* L50: */
}
if (! same) {
*fatal = TRUE_;
goto L150;
}
if (! null) {
if (s_cmp(sname + 9, "mm", (ftnlen)2, (
ftnlen)2) == 0) {
/* Check the result. */
if (left) {
smmch_(transa, "N", &m, &n, &m, &
alpha, &a[a_offset], nmax,
&b[b_offset], nmax, &
c_b103, &c__[c_offset],
nmax, &ct[1], &g[1], &bb[
1], &ldb, eps, &err,
fatal, nout, &c_true, (
ftnlen)1, (ftnlen)1);
} else {
smmch_("N", transa, &m, &n, &n, &
alpha, &b[b_offset], nmax,
&a[a_offset], nmax, &
c_b103, &c__[c_offset],
nmax, &ct[1], &g[1], &bb[
1], &ldb, eps, &err,
fatal, nout, &c_true, (
ftnlen)1, (ftnlen)1);
}
} else if (s_cmp(sname + 9, "sm", (ftnlen)
2, (ftnlen)2) == 0) {
/* Compute approximation to original */
/* matrix. */
i__4 = n;
for (j = 1; j <= i__4; ++j) {
i__5 = m;
for (i__ = 1; i__ <= i__5; ++i__)
{
c__[i__ + j * c_dim1] = bb[i__ + (j - 1) * ldb];
bb[i__ + (j - 1) * ldb] = alpha * b[i__ + j *
b_dim1];
/* L60: */
}
/* L70: */
}
if (left) {
smmch_(transa, "N", &m, &n, &m, &
c_b89, &a[a_offset], nmax,
&c__[c_offset], nmax, &
c_b103, &b[b_offset],
nmax, &ct[1], &g[1], &bb[
1], &ldb, eps, &err,
fatal, nout, &c_false, (
ftnlen)1, (ftnlen)1);
} else {
smmch_("N", transa, &m, &n, &n, &
c_b89, &c__[c_offset],
nmax, &a[a_offset], nmax,
&c_b103, &b[b_offset],
nmax, &ct[1], &g[1], &bb[
1], &ldb, eps, &err,
fatal, nout, &c_false, (
ftnlen)1, (ftnlen)1);
}
}
errmax = dmax(errmax,err);
/* If got really bad answer, report and */
/* return. */
if (*fatal) {
goto L150;
}
}
/* L80: */
}
/* L90: */
}
/* L100: */
}
/* L110: */
}
/* L120: */
}
L130:
;
}
/* L140: */
}
/* Report result. */
if (errmax < *thresh) {
if (*iorder == 0) {
printf("%s PASSED THE COLUMN-MAJOR COMPUTATIONAL TESTS (%d CALLS)\n",sname,nc);
}
if (*iorder == 1) {
printf("%s PASSED THE ROW-MAJOR COMPUTATIONAL TESTS (%d CALLS)\n",sname,nc);
}
} else {
if (*iorder == 0) {
printf("%s COMPLETED THE COLUMN-MAJOR COMPUTATIONAL TESTS (%d CALLS)/n",sname,nc);
printf("***** BUT WITH MAXIMUM TEST RATIO %8.2f - SUSPECT *******/n",errmax);
}
if (*iorder == 1) {
printf("%s COMPLETED THE ROW-MAJOR COMPUTATIONAL TESTS (%d CALLS)/n",sname,nc);
printf("***** BUT WITH MAXIMUM TEST RATIO %8.2f - SUSPECT *******/n",errmax);
}
}
goto L160;
L150:
printf(" ******* %s FAILED ON CALL NUMBER:\n",sname);
if (*trace) {
sprcn3_(ntra, &nc, sname, iorder, side, uplo, transa, diag, &m, &n, &
alpha, &lda, &ldb, (ftnlen)12, (ftnlen)1, (ftnlen)1, (ftnlen)
1, (ftnlen)1);
}
L160:
return 0;
/* 9995 FORMAT( 1X, I6, ': ', A12,'(', 4( '''', A1, ''',' ), 2( I3, ',' ), */
/* $ F4.1, ', A,', I3, ', B,', I3, ') .' ) */
/* End of SCHK3. */
} /* schk3_ */
/* Subroutine */ void sprcn3_(nout, nc, sname, iorder, side, uplo, transa,
diag, m, n, alpha, lda, ldb, sname_len, side_len, uplo_len,
transa_len, diag_len)
integer *nout, *nc;
char *sname;
integer *iorder;
char *side, *uplo, *transa, *diag;
integer *m, *n;
real *alpha;
integer *lda, *ldb;
ftnlen sname_len;
ftnlen side_len;
ftnlen uplo_len;
ftnlen transa_len;
ftnlen diag_len;
{
/* Builtin functions */
integer s_wsfe(), do_fio(), e_wsfe();
/* Local variables */
static char ca[14], cd[14], cs[14], cu[14], crc[14];
if (*(unsigned char *)side == 'L') {
s_copy(cs, " CblasLeft", (ftnlen)14, (ftnlen)14);
} else {
s_copy(cs, " CblasRight", (ftnlen)14, (ftnlen)14);
}
if (*(unsigned char *)uplo == 'U') {
s_copy(cu, " CblasUpper", (ftnlen)14, (ftnlen)14);
} else {
s_copy(cu, " CblasLower", (ftnlen)14, (ftnlen)14);
}
if (*(unsigned char *)transa == 'N') {
s_copy(ca, " CblasNoTrans", (ftnlen)14, (ftnlen)14);
} else if (*(unsigned char *)transa == 'T') {
s_copy(ca, " CblasTrans", (ftnlen)14, (ftnlen)14);
} else {
s_copy(ca, "CblasConjTrans", (ftnlen)14, (ftnlen)14);
}
if (*(unsigned char *)diag == 'N') {
s_copy(cd, " CblasNonUnit", (ftnlen)14, (ftnlen)14);
} else {
s_copy(cd, " CblasUnit", (ftnlen)14, (ftnlen)14);
}
if (*iorder == 1) {
s_copy(crc, "CblasRowMajor", (ftnlen)14, (ftnlen)13);
} else {
s_copy(crc, "CblasColMajor", (ftnlen)14, (ftnlen)13);
}
printf("%6d: %s %s %s %s\n",*nc,sname,crc,cs,cu);
printf(" %s %s %d %d %4.1f A %d B %d\n",ca,cd,*m,*n,*alpha,*lda,*ldb);
} /* sprcn3_ */
/* Subroutine */ int schk4_(sname, eps, thresh, nout, ntra, trace, rewi,
fatal, nidim, idim, nalf, alf, nbet, bet, nmax, a, aa, as, b, bb, bs,
c__, cc, cs, ct, g, iorder, sname_len)
char *sname;
real *eps, *thresh;
integer *nout, *ntra;
logical *trace, *rewi, *fatal;
integer *nidim, *idim, *nalf;
real *alf;
integer *nbet;
real *bet;
integer *nmax;
real *a, *aa, *as, *b, *bb, *bs, *c__, *cc, *cs, *ct, *g;
integer *iorder;
ftnlen sname_len;
{
/* Initialized data */
static char icht[3+1] = "NTC";
static char ichu[2+1] = "UL";
/* System generated locals */
integer a_dim1, a_offset, b_dim1, b_offset, c_dim1, c_offset, i__1, i__2,
i__3, i__4, i__5;
/* Builtin functions */
integer f_rew(), s_wsfe(), e_wsfe(), do_fio();
/* Local variables */
static real beta;
static integer ldas, ldcs;
static logical same;
static real bets;
static logical tran, null;
static char uplo[1];
static integer i__, j, k, n;
static real alpha;
static logical isame[13];
static integer nargs;
static logical reset;
static char trans[1];
static logical upper;
static char uplos[1];
extern /* Subroutine */ void sprcn4_();
extern /* Subroutine */ int smake_();
extern /* Subroutine */ int smmch_();
static integer ia, ib, jc, ma, na, nc, ik, in, jj, lj, ks, ns;
static real errmax;
extern logical lseres_();
static char transs[1];
extern /* Subroutine */ int cssyrk_();
static integer laa, lda, lcc, ldc;
static real als;
static integer ict, icu;
extern logical lse_();
static real err;
/* Tests SSYRK. */
/* Auxiliary routine for test program for Level 3 Blas. */
/* -- Written on 8-February-1989. */
/* Jack Dongarra, Argonne National Laboratory. */
/* Iain Duff, AERE Harwell. */
/* Jeremy Du Croz, Numerical Algorithms Group Ltd. */
/* Sven Hammarling, Numerical Algorithms Group Ltd. */
/* .. Parameters .. */
/* .. Scalar Arguments .. */
/* .. Array Arguments .. */
/* .. Local Scalars .. */
/* .. Local Arrays .. */
/* .. External Functions .. */
/* .. External Subroutines .. */
/* .. Intrinsic Functions .. */
/* .. Scalars in Common .. */
/* .. Common blocks .. */
/* .. Data statements .. */
/* Parameter adjustments */
--idim;
--alf;
--bet;
--g;
--ct;
--cs;
--cc;
c_dim1 = *nmax;
c_offset = 1 + c_dim1 * 1;
c__ -= c_offset;
--bs;
--bb;
b_dim1 = *nmax;
b_offset = 1 + b_dim1 * 1;
b -= b_offset;
--as;
--aa;
a_dim1 = *nmax;
a_offset = 1 + a_dim1 * 1;
a -= a_offset;
/* Function Body */
/* .. Executable Statements .. */
nargs = 10;
nc = 0;
reset = TRUE_;
errmax = (float)0.;
i__1 = *nidim;
for (in = 1; in <= i__1; ++in) {
n = idim[in];
/* Set LDC to 1 more than minimum value if room. */
ldc = n;
if (ldc < *nmax) {
++ldc;
}
/* Skip tests if not enough room. */
if (ldc > *nmax) {
goto L100;
}
lcc = ldc * n;
null = n <= 0;
i__2 = *nidim;
for (ik = 1; ik <= i__2; ++ik) {
k = idim[ik];
for (ict = 1; ict <= 3; ++ict) {
*(unsigned char *)trans = *(unsigned char *)&icht[ict - 1];
tran = *(unsigned char *)trans == 'T' || *(unsigned char *)
trans == 'C';
if (tran) {
ma = k;
na = n;
} else {
ma = n;
na = k;
}
/* Set LDA to 1 more than minimum value if room. */
lda = ma;
if (lda < *nmax) {
++lda;
}
/* Skip tests if not enough room. */
if (lda > *nmax) {
goto L80;
}
laa = lda * na;
/* Generate the matrix A. */
smake_("GE", " ", " ", &ma, &na, &a[a_offset], nmax, &aa[1], &
lda, &reset, &c_b103, (ftnlen)2, (ftnlen)1, (ftnlen)1)
;
for (icu = 1; icu <= 2; ++icu) {
*(unsigned char *)uplo = *(unsigned char *)&ichu[icu - 1];
upper = *(unsigned char *)uplo == 'U';
i__3 = *nalf;
for (ia = 1; ia <= i__3; ++ia) {
alpha = alf[ia];
i__4 = *nbet;
for (ib = 1; ib <= i__4; ++ib) {
beta = bet[ib];
/* Generate the matrix C. */
smake_("SY", uplo, " ", &n, &n, &c__[c_offset],
nmax, &cc[1], &ldc, &reset, &c_b103, (
ftnlen)2, (ftnlen)1, (ftnlen)1);
++nc;
/* Save every datum before calling the subroutine. */
*(unsigned char *)uplos = *(unsigned char *)uplo;
*(unsigned char *)transs = *(unsigned char *)
trans;
ns = n;
ks = k;
als = alpha;
i__5 = laa;
for (i__ = 1; i__ <= i__5; ++i__) {
as[i__] = aa[i__];
/* L10: */
}
ldas = lda;
bets = beta;
i__5 = lcc;
for (i__ = 1; i__ <= i__5; ++i__) {
cs[i__] = cc[i__];
/* L20: */
}
ldcs = ldc;
/* Call the subroutine. */
if (*trace) {
sprcn4_(ntra, &nc, sname, iorder, uplo, trans,
&n, &k, &alpha, &lda, &beta, &ldc, (
ftnlen)12, (ftnlen)1, (ftnlen)1);
}
if (*rewi) {
// f_rew(&al__1);
}
cssyrk_(iorder, uplo, trans, &n, &k, &alpha, &aa[
1], &lda, &beta, &cc[1], &ldc, (ftnlen)1,
(ftnlen)1);
/* Check if error-exit was taken incorrectly. */
if (! infoc_1.ok) {
printf("*** FATAL ERROR - ERROR-CALL MYEXIT TAKEN ON VALID CALL\n");
*fatal = TRUE_;
goto L120;
}
/* See what data changed inside subroutines. */
isame[0] = *(unsigned char *)uplos == *(unsigned
char *)uplo;
isame[1] = *(unsigned char *)transs == *(unsigned
char *)trans;
isame[2] = ns == n;
isame[3] = ks == k;
isame[4] = als == alpha;
isame[5] = lse_(&as[1], &aa[1], &laa);
isame[6] = ldas == lda;
isame[7] = bets == beta;
if (null) {
isame[8] = lse_(&cs[1], &cc[1], &lcc);
} else {
isame[8] = lseres_("SY", uplo, &n, &n, &cs[1],
&cc[1], &ldc, (ftnlen)2, (ftnlen)1);
}
isame[9] = ldcs == ldc;
/* If data was incorrectly changed, report and */
/* return. */
same = TRUE_;
i__5 = nargs;
for (i__ = 1; i__ <= i__5; ++i__) {
same = same && isame[i__ - 1];
if (! isame[i__ - 1]) {
printf(" ******* FATAL ERROR - PARAMETER NUMBER %d WAS CHANGED INCORRECTLY *******\n",i__);
}
/* L30: */
}
if (! same) {
*fatal = TRUE_;
goto L120;
}
if (! null) {
/* Check the result column by column. */
jc = 1;
i__5 = n;
for (j = 1; j <= i__5; ++j) {
if (upper) {
jj = 1;
lj = j;
} else {
jj = j;
lj = n - j + 1;
}
if (tran) {
smmch_("T", "N", &lj, &c__1, &k, &
alpha, &a[jj * a_dim1 + 1],
nmax, &a[j * a_dim1 + 1],
nmax, &beta, &c__[jj + j *
c_dim1], nmax, &ct[1], &g[1],
&cc[jc], &ldc, eps, &err,
fatal, nout, &c_true, (ftnlen)
1, (ftnlen)1);
} else {
smmch_("N", "T", &lj, &c__1, &k, &
alpha, &a[jj + a_dim1], nmax,
&a[j + a_dim1], nmax, &beta, &
c__[jj + j * c_dim1], nmax, &
ct[1], &g[1], &cc[jc], &ldc,
eps, &err, fatal, nout, &
c_true, (ftnlen)1, (ftnlen)1);
}
if (upper) {
jc += ldc;
} else {
jc = jc + ldc + 1;
}
errmax = dmax(errmax,err);
/* If got really bad answer, report and */
/* return. */
if (*fatal) {
goto L110;
}
/* L40: */
}
}
/* L50: */
}
/* L60: */
}
/* L70: */
}
L80:
;
}
/* L90: */
}
L100:
;
}
/* Report result. */
if (errmax < *thresh) {
if (*iorder == 0) {
printf("%s PASSED THE COLUMN-MAJOR COMPUTATIONAL TESTS (%d CALLS)\n",sname,nc);
}
if (*iorder == 1) {
printf("%s PASSED THE ROW-MAJOR COMPUTATIONAL TESTS (%d CALLS)\n",sname,nc);
}
} else {
if (*iorder == 0) {
printf("%s COMPLETED THE COLUMN-MAJOR COMPUTATIONAL TESTS (%d CALLS)/n",sname,nc);
printf("***** BUT WITH MAXIMUM TEST RATIO %8.2f - SUSPECT *******/n",errmax);
}
if (*iorder == 1) {
printf("%s COMPLETED THE ROW-MAJOR COMPUTATIONAL TESTS (%d CALLS)/n",sname,nc);
printf("***** BUT WITH MAXIMUM TEST RATIO %8.2f - SUSPECT *******/n",errmax);
}
}
goto L130;
L110:
if (n > 1) {
printf(" THESE ARE THE RESULTS FOR COLUMN %d:\n",j);
}
L120:
printf(" ******* %s FAILED ON CALL NUMBER:\n",sname);
sprcn4_(nout, &nc, sname, iorder, uplo, trans, &n, &k, &alpha, &lda, &
beta, &ldc, (ftnlen)12, (ftnlen)1, (ftnlen)1);
L130:
return 0;
/* 9994 FORMAT( 1X, I6, ': ', A12,'(', 2( '''', A1, ''',' ), 2( I3, ',' ), */
/* $ F4.1, ', A,', I3, ',', F4.1, ', C,', I3, ') .' ) */
/* End of SCHK4. */
} /* schk4_ */
/* Subroutine */ void sprcn4_(nout, nc, sname, iorder, uplo, transa, n, k,
alpha, lda, beta, ldc, sname_len, uplo_len, transa_len)
integer *nout, *nc;
char *sname;
integer *iorder;
char *uplo, *transa;
integer *n, *k;
real *alpha;
integer *lda;
real *beta;
integer *ldc;
ftnlen sname_len;
ftnlen uplo_len;
ftnlen transa_len;
{
/* Builtin functions */
integer s_wsfe(), do_fio(), e_wsfe();
/* Local variables */
static char ca[14], cu[14], crc[14];
if (*(unsigned char *)uplo == 'U') {
s_copy(cu, " CblasUpper", (ftnlen)14, (ftnlen)14);
} else {
s_copy(cu, " CblasLower", (ftnlen)14, (ftnlen)14);
}
if (*(unsigned char *)transa == 'N') {
s_copy(ca, " CblasNoTrans", (ftnlen)14, (ftnlen)14);
} else if (*(unsigned char *)transa == 'T') {
s_copy(ca, " CblasTrans", (ftnlen)14, (ftnlen)14);
} else {
s_copy(ca, "CblasConjTrans", (ftnlen)14, (ftnlen)14);
}
if (*iorder == 1) {
s_copy(crc, " CblasRowMajor", (ftnlen)14, (ftnlen)14);
} else {
s_copy(crc, " CblasColMajor", (ftnlen)14, (ftnlen)14);
}
printf("%6d: %s %s %s %s\n",*nc,sname,crc,cu,ca);
printf("( %d %d %4.1f A %d %4.1f C %d\n",*n,*k,*alpha,*lda,*beta,*ldc);
} /* sprcn4_ */
/* Subroutine */ int schk5_(sname, eps, thresh, nout, ntra, trace, rewi,
fatal, nidim, idim, nalf, alf, nbet, bet, nmax, ab, aa, as, bb, bs,
c__, cc, cs, ct, g, w, iorder, sname_len)
char *sname;
real *eps, *thresh;
integer *nout, *ntra;
logical *trace, *rewi, *fatal;
integer *nidim, *idim, *nalf;
real *alf;
integer *nbet;
real *bet;
integer *nmax;
real *ab, *aa, *as, *bb, *bs, *c__, *cc, *cs, *ct, *g, *w;
integer *iorder;
ftnlen sname_len;
{
/* Initialized data */
static char icht[3+1] = "NTC";
static char ichu[2+1] = "UL";
/* System generated locals */
integer c_dim1, c_offset, i__1, i__2, i__3, i__4, i__5, i__6, i__7, i__8;
/* Builtin functions */
integer f_rew(), s_wsfe(), e_wsfe(), do_fio();
/* Local variables */
static integer jjab;
static real beta;
static integer ldas, ldbs, ldcs;
static logical same;
static real bets;
static logical tran, null;
static char uplo[1];
static integer i__, j, k, n;
static real alpha;
static logical isame[13];
static integer nargs;
static logical reset;
static char trans[1];
static logical upper;
static char uplos[1];
static integer ia, ib;
extern /* Subroutine */ void sprcn5_();
static integer jc, ma, na, nc, ik, in, jj, lj, ks, ns;
static real errmax;
extern logical lseres_();
extern int smake_();
static char transs[1];
static integer laa, lbb, lda, lcc, ldb, ldc;
static real als;
static integer ict, icu;
extern /* Subroutine */ int cssyr2k_();
extern logical lse_();
extern int smmch_();
static real err;
/* Tests SSYR2K. */
/* Auxiliary routine for test program for Level 3 Blas. */
/* -- Written on 8-February-1989. */
/* Jack Dongarra, Argonne National Laboratory. */
/* Iain Duff, AERE Harwell. */
/* Jeremy Du Croz, Numerical Algorithms Group Ltd. */
/* Sven Hammarling, Numerical Algorithms Group Ltd. */
/* .. Parameters .. */
/* .. Scalar Arguments .. */
/* .. Array Arguments .. */
/* .. Local Scalars .. */
/* .. Local Arrays .. */
/* .. External Functions .. */
/* .. External Subroutines .. */
/* .. Intrinsic Functions .. */
/* .. Scalars in Common .. */
/* .. Common blocks .. */
/* .. Data statements .. */
/* Parameter adjustments */
--idim;
--alf;
--bet;
--w;
--g;
--ct;
--cs;
--cc;
c_dim1 = *nmax;
c_offset = 1 + c_dim1 * 1;
c__ -= c_offset;
--bs;
--bb;
--as;
--aa;
--ab;
/* Function Body */
/* .. Executable Statements .. */
nargs = 12;
nc = 0;
reset = TRUE_;
errmax = (float)0.;
i__1 = *nidim;
for (in = 1; in <= i__1; ++in) {
n = idim[in];
/* Set LDC to 1 more than minimum value if room. */
ldc = n;
if (ldc < *nmax) {
++ldc;
}
/* Skip tests if not enough room. */
if (ldc > *nmax) {
goto L130;
}
lcc = ldc * n;
null = n <= 0;
i__2 = *nidim;
for (ik = 1; ik <= i__2; ++ik) {
k = idim[ik];
for (ict = 1; ict <= 3; ++ict) {
*(unsigned char *)trans = *(unsigned char *)&icht[ict - 1];
tran = *(unsigned char *)trans == 'T' || *(unsigned char *)
trans == 'C';
if (tran) {
ma = k;
na = n;
} else {
ma = n;
na = k;
}
/* Set LDA to 1 more than minimum value if room. */
lda = ma;
if (lda < *nmax) {
++lda;
}
/* Skip tests if not enough room. */
if (lda > *nmax) {
goto L110;
}
laa = lda * na;
/* Generate the matrix A. */
if (tran) {
i__3 = *nmax << 1;
smake_("GE", " ", " ", &ma, &na, &ab[1], &i__3, &aa[1], &
lda, &reset, &c_b103, (ftnlen)2, (ftnlen)1, (
ftnlen)1);
} else {
smake_("GE", " ", " ", &ma, &na, &ab[1], nmax, &aa[1], &
lda, &reset, &c_b103, (ftnlen)2, (ftnlen)1, (
ftnlen)1);
}
/* Generate the matrix B. */
ldb = lda;
lbb = laa;
if (tran) {
i__3 = *nmax << 1;
smake_("GE", " ", " ", &ma, &na, &ab[k + 1], &i__3, &bb[1]
, &ldb, &reset, &c_b103, (ftnlen)2, (ftnlen)1, (
ftnlen)1);
} else {
smake_("GE", " ", " ", &ma, &na, &ab[k * *nmax + 1], nmax,
&bb[1], &ldb, &reset, &c_b103, (ftnlen)2, (
ftnlen)1, (ftnlen)1);
}
for (icu = 1; icu <= 2; ++icu) {
*(unsigned char *)uplo = *(unsigned char *)&ichu[icu - 1];
upper = *(unsigned char *)uplo == 'U';
i__3 = *nalf;
for (ia = 1; ia <= i__3; ++ia) {
alpha = alf[ia];
i__4 = *nbet;
for (ib = 1; ib <= i__4; ++ib) {
beta = bet[ib];
/* Generate the matrix C. */
smake_("SY", uplo, " ", &n, &n, &c__[c_offset],
nmax, &cc[1], &ldc, &reset, &c_b103, (
ftnlen)2, (ftnlen)1, (ftnlen)1);
++nc;
/* Save every datum before calling the subroutine. */
*(unsigned char *)uplos = *(unsigned char *)uplo;
*(unsigned char *)transs = *(unsigned char *)
trans;
ns = n;
ks = k;
als = alpha;
i__5 = laa;
for (i__ = 1; i__ <= i__5; ++i__) {
as[i__] = aa[i__];
/* L10: */
}
ldas = lda;
i__5 = lbb;
for (i__ = 1; i__ <= i__5; ++i__) {
bs[i__] = bb[i__];
/* L20: */
}
ldbs = ldb;
bets = beta;
i__5 = lcc;
for (i__ = 1; i__ <= i__5; ++i__) {
cs[i__] = cc[i__];
/* L30: */
}
ldcs = ldc;
/* Call the subroutine. */
if (*trace) {
sprcn5_(ntra, &nc, sname, iorder, uplo, trans,
&n, &k, &alpha, &lda, &ldb, &beta, &
ldc, (ftnlen)12, (ftnlen)1, (ftnlen)1)
;
}
if (*rewi) {
// f_rew(&al__1);
}
cssyr2k_(iorder, uplo, trans, &n, &k, &alpha, &aa[
1], &lda, &bb[1], &ldb, &beta, &cc[1], &
ldc, (ftnlen)1, (ftnlen)1);
/* Check if error-exit was taken incorrectly. */
if (! infoc_1.ok) {
printf("*** FATAL ERROR - ERROR-CALL MYEXIT TAKEN ON VALID CALL\n");
*fatal = TRUE_;
goto L150;
}
/* See what data changed inside subroutines. */
isame[0] = *(unsigned char *)uplos == *(unsigned
char *)uplo;
isame[1] = *(unsigned char *)transs == *(unsigned
char *)trans;
isame[2] = ns == n;
isame[3] = ks == k;
isame[4] = als == alpha;
isame[5] = lse_(&as[1], &aa[1], &laa);
isame[6] = ldas == lda;
isame[7] = lse_(&bs[1], &bb[1], &lbb);
isame[8] = ldbs == ldb;
isame[9] = bets == beta;
if (null) {
isame[10] = lse_(&cs[1], &cc[1], &lcc);
} else {
isame[10] = lseres_("SY", uplo, &n, &n, &cs[1]
, &cc[1], &ldc, (ftnlen)2, (ftnlen)1);
}
isame[11] = ldcs == ldc;
/* If data was incorrectly changed, report and */
/* return. */
same = TRUE_;
i__5 = nargs;
for (i__ = 1; i__ <= i__5; ++i__) {
same = same && isame[i__ - 1];
if (! isame[i__ - 1]) {
printf(" ******* FATAL ERROR - PARAMETER NUMBER %d WAS CHANGED INCORRECTLY *******\n",i__);
}
/* L40: */
}
if (! same) {
*fatal = TRUE_;
goto L150;
}
if (! null) {
/* Check the result column by column. */
jjab = 1;
jc = 1;
i__5 = n;
for (j = 1; j <= i__5; ++j) {
if (upper) {
jj = 1;
lj = j;
} else {
jj = j;
lj = n - j + 1;
}
if (tran) {
i__6 = k;
for (i__ = 1; i__ <= i__6; ++i__) {
w[i__] = ab[((j - 1) << 1) * *nmax
+ k + i__];
w[k + i__] = ab[((j - 1) << 1) * *
nmax + i__];
/* L50: */
}
i__6 = k << 1;
i__7 = *nmax << 1;
i__8 = *nmax << 1;
smmch_("T", "N", &lj, &c__1, &i__6, &
alpha, &ab[jjab], &i__7, &w[1]
, &i__8, &beta, &c__[jj + j *
c_dim1], nmax, &ct[1], &g[1],
&cc[jc], &ldc, eps, &err,
fatal, nout, &c_true, (ftnlen)
1, (ftnlen)1);
} else {
i__6 = k;
for (i__ = 1; i__ <= i__6; ++i__) {
w[i__] = ab[(k + i__ - 1) * *nmax
+ j];
w[k + i__] = ab[(i__ - 1) * *nmax
+ j];
/* L60: */
}
i__6 = k << 1;
i__7 = *nmax << 1;
smmch_("N", "N", &lj, &c__1, &i__6, &
alpha, &ab[jj], nmax, &w[1], &
i__7, &beta, &c__[jj + j *
c_dim1], nmax, &ct[1], &g[1],
&cc[jc], &ldc, eps, &err,
fatal, nout, &c_true, (ftnlen)
1, (ftnlen)1);
}
if (upper) {
jc += ldc;
} else {
jc = jc + ldc + 1;
if (tran) {
jjab += *nmax << 1;
}
}
errmax = dmax(errmax,err);
/* If got really bad answer, report and */
/* return. */
if (*fatal) {
goto L140;
}
/* L70: */
}
}
/* L80: */
}
/* L90: */
}
/* L100: */
}
L110:
;
}
/* L120: */
}
L130:
;
}
/* Report result. */
if (errmax < *thresh) {
if (*iorder == 0) {
printf("%s PASSED THE COLUMN-MAJOR COMPUTATIONAL TESTS (%d CALLS)\n",sname,nc);
}
if (*iorder == 1) {
printf("%s PASSED THE ROW-MAJOR COMPUTATIONAL TESTS (%d CALLS)\n",sname,nc);
}
} else {
if (*iorder == 0) {
printf("%s COMPLETED THE COLUMN-MAJOR COMPUTATIONAL TESTS (%d CALLS)/n",sname,nc);
printf("***** BUT WITH MAXIMUM TEST RATIO %8.2f - SUSPECT *******/n",errmax);
}
if (*iorder == 1) {
printf("%s COMPLETED THE ROW-MAJOR COMPUTATIONAL TESTS (%d CALLS)/n",sname,nc);
printf("***** BUT WITH MAXIMUM TEST RATIO %8.2f - SUSPECT *******/n",errmax);
}
}
goto L160;
L140:
if (n > 1) {
printf(" THESE ARE THE RESULTS FOR COLUMN %d:\n",j);
}
L150:
printf(" ******* %s FAILED ON CALL NUMBER:\n",sname);
sprcn5_(nout, &nc, sname, iorder, uplo, trans, &n, &k, &alpha, &lda, &ldb,
&beta, &ldc, (ftnlen)12, (ftnlen)1, (ftnlen)1);
L160:
return 0;
/* 9994 FORMAT( 1X, I6, ': ', A12,'(', 2( '''', A1, ''',' ), 2( I3, ',' ), */
/* $ F4.1, ', A,', I3, ', B,', I3, ',', F4.1, ', C,', I3, ') ', */
/* $ ' .' ) */
/* End of SCHK5. */
} /* schk5_ */
/* Subroutine */ void sprcn5_(nout, nc, sname, iorder, uplo, transa, n, k,
alpha, lda, ldb, beta, ldc, sname_len, uplo_len, transa_len)
integer *nout, *nc;
char *sname;
integer *iorder;
char *uplo, *transa;
integer *n, *k;
real *alpha;
integer *lda, *ldb;
real *beta;
integer *ldc;
ftnlen sname_len;
ftnlen uplo_len;
ftnlen transa_len;
{
/* Builtin functions */
integer s_wsfe(), do_fio(), e_wsfe();
/* Local variables */
static char ca[14], cu[14], crc[14];
if (*(unsigned char *)uplo == 'U') {
s_copy(cu, " CblasUpper", (ftnlen)14, (ftnlen)14);
} else {
s_copy(cu, " CblasLower", (ftnlen)14, (ftnlen)14);
}
if (*(unsigned char *)transa == 'N') {
s_copy(ca, " CblasNoTrans", (ftnlen)14, (ftnlen)14);
} else if (*(unsigned char *)transa == 'T') {
s_copy(ca, " CblasTrans", (ftnlen)14, (ftnlen)14);
} else {
s_copy(ca, "CblasConjTrans", (ftnlen)14, (ftnlen)14);
}
if (*iorder == 1) {
s_copy(crc, " CblasRowMajor", (ftnlen)14, (ftnlen)14);
} else {
s_copy(crc, " CblasColMajor", (ftnlen)14, (ftnlen)14);
}
printf("%6d: %s %s %s %s\n",*nc,sname,crc,cu,ca);
printf("%d %d %4.1f , A, %d, B, %d, %4.1f , C, %d.\n",*n,*k,*alpha,*lda,*ldb,*beta,*ldc);
} /* sprcn5_ */
/* Subroutine */ int smake_(type__, uplo, diag, m, n, a, nmax, aa, lda, reset,
transl, type_len, uplo_len, diag_len)
char *type__, *uplo, *diag;
integer *m, *n;
real *a;
integer *nmax;
real *aa;
integer *lda;
logical *reset;
real *transl;
ftnlen type_len;
ftnlen uplo_len;
ftnlen diag_len;
{
/* System generated locals */
integer a_dim1, a_offset, i__1, i__2;
/* Builtin functions */
/* Local variables */
static integer ibeg, iend;
extern doublereal sbeg_();
static logical unit;
static integer i__, j;
static logical lower, upper, gen, tri, sym;
/* Generates values for an M by N matrix A. */
/* Stores the values in the array AA in the data structure required */
/* by the routine, with unwanted elements set to rogue value. */
/* TYPE is 'GE', 'SY' or 'TR'. */
/* Auxiliary routine for test program for Level 3 Blas. */
/* -- Written on 8-February-1989. */
/* Jack Dongarra, Argonne National Laboratory. */
/* Iain Duff, AERE Harwell. */
/* Jeremy Du Croz, Numerical Algorithms Group Ltd. */
/* Sven Hammarling, Numerical Algorithms Group Ltd. */
/* .. Parameters .. */
/* .. Scalar Arguments .. */
/* .. Array Arguments .. */
/* .. Local Scalars .. */
/* .. External Functions .. */
/* .. Executable Statements .. */
/* Parameter adjustments */
a_dim1 = *nmax;
a_offset = 1 + a_dim1 * 1;
a -= a_offset;
--aa;
/* Function Body */
gen = s_cmp(type__, "GE", (ftnlen)2, (ftnlen)2) == 0;
sym = s_cmp(type__, "SY", (ftnlen)2, (ftnlen)2) == 0;
tri = s_cmp(type__, "TR", (ftnlen)2, (ftnlen)2) == 0;
upper = (sym || tri) && *(unsigned char *)uplo == 'U';
lower = (sym || tri) && *(unsigned char *)uplo == 'L';
unit = tri && *(unsigned char *)diag == 'U';
/* Generate data in array A. */
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
i__2 = *m;
for (i__ = 1; i__ <= i__2; ++i__) {
if (gen || (upper && i__ <= j) || (lower && i__ >= j)) {
a[i__ + j * a_dim1] = sbeg_(reset) + *transl;
if (i__ != j) {
/* Set some elements to zero */
if (*n > 3 && j == *n / 2) {
a[i__ + j * a_dim1] = (float)0.;
}
if (sym) {
a[j + i__ * a_dim1] = a[i__ + j * a_dim1];
} else if (tri) {
a[j + i__ * a_dim1] = (float)0.;
}
}
}
/* L10: */
}
if (tri) {
a[j + j * a_dim1] += (float)1.;
}
if (unit) {
a[j + j * a_dim1] = (float)1.;
}
/* L20: */
}
/* Store elements in array AS in data structure required by routine. */
if (s_cmp(type__, "GE", (ftnlen)2, (ftnlen)2) == 0) {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
i__2 = *m;
for (i__ = 1; i__ <= i__2; ++i__) {
aa[i__ + (j - 1) * *lda] = a[i__ + j * a_dim1];
/* L30: */
}
i__2 = *lda;
for (i__ = *m + 1; i__ <= i__2; ++i__) {
aa[i__ + (j - 1) * *lda] = (float)-1e10;
/* L40: */
}
/* L50: */
}
} else if (s_cmp(type__, "SY", (ftnlen)2, (ftnlen)2) == 0 || s_cmp(type__,
"TR", (ftnlen)2, (ftnlen)2) == 0) {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
if (upper) {
ibeg = 1;
if (unit) {
iend = j - 1;
} else {
iend = j;
}
} else {
if (unit) {
ibeg = j + 1;
} else {
ibeg = j;
}
iend = *n;
}
i__2 = ibeg - 1;
for (i__ = 1; i__ <= i__2; ++i__) {
aa[i__ + (j - 1) * *lda] = (float)-1e10;
/* L60: */
}
i__2 = iend;
for (i__ = ibeg; i__ <= i__2; ++i__) {
aa[i__ + (j - 1) * *lda] = a[i__ + j * a_dim1];
/* L70: */
}
i__2 = *lda;
for (i__ = iend + 1; i__ <= i__2; ++i__) {
aa[i__ + (j - 1) * *lda] = (float)-1e10;
/* L80: */
}
/* L90: */
}
}
return 0;
/* End of SMAKE. */
} /* smake_ */
/* Subroutine */ int smmch_(transa, transb, m, n, kk, alpha, a, lda, b, ldb,
beta, c__, ldc, ct, g, cc, ldcc, eps, err, fatal, nout, mv,
transa_len, transb_len)
char *transa, *transb;
integer *m, *n, *kk;
real *alpha, *a;
integer *lda;
real *b;
integer *ldb;
real *beta, *c__;
integer *ldc;
real *ct, *g, *cc;
integer *ldcc;
real *eps, *err;
logical *fatal;
integer *nout;
logical *mv;
ftnlen transa_len;
ftnlen transb_len;
{
/* System generated locals */
integer a_dim1, a_offset, b_dim1, b_offset, c_dim1, c_offset, cc_dim1,
cc_offset, i__1, i__2, i__3;
real r__1, r__2;
/* Builtin functions */
double sqrt();
integer s_wsfe(), e_wsfe(), do_fio();
/* Local variables */
static real erri;
static integer i__, j, k;
static logical trana, tranb;
/* Checks the results of the computational tests. */
/* Auxiliary routine for test program for Level 3 Blas. */
/* -- Written on 8-February-1989. */
/* Jack Dongarra, Argonne National Laboratory. */
/* Iain Duff, AERE Harwell. */
/* Jeremy Du Croz, Numerical Algorithms Group Ltd. */
/* Sven Hammarling, Numerical Algorithms Group Ltd. */
/* .. Parameters .. */
/* .. Scalar Arguments .. */
/* .. Array Arguments .. */
/* .. Local Scalars .. */
/* .. Intrinsic Functions .. */
/* .. Executable Statements .. */
/* Parameter adjustments */
a_dim1 = *lda;
a_offset = 1 + a_dim1 * 1;
a -= a_offset;
b_dim1 = *ldb;
b_offset = 1 + b_dim1 * 1;
b -= b_offset;
c_dim1 = *ldc;
c_offset = 1 + c_dim1 * 1;
c__ -= c_offset;
--ct;
--g;
cc_dim1 = *ldcc;
cc_offset = 1 + cc_dim1 * 1;
cc -= cc_offset;
/* Function Body */
trana = *(unsigned char *)transa == 'T' || *(unsigned char *)transa ==
'C';
tranb = *(unsigned char *)transb == 'T' || *(unsigned char *)transb ==
'C';
/* Compute expected result, one column at a time, in CT using data */
/* in A, B and C. */
/* Compute gauges in G. */
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
i__2 = *m;
for (i__ = 1; i__ <= i__2; ++i__) {
ct[i__] = (float)0.;
g[i__] = (float)0.;
/* L10: */
}
if (! trana && ! tranb) {
i__2 = *kk;
for (k = 1; k <= i__2; ++k) {
i__3 = *m;
for (i__ = 1; i__ <= i__3; ++i__) {
ct[i__] += a[i__ + k * a_dim1] * b[k + j * b_dim1];
g[i__] += (r__1 = a[i__ + k * a_dim1], dabs(r__1)) * (
r__2 = b[k + j * b_dim1], dabs(r__2));
/* L20: */
}
/* L30: */
}
} else if (trana && ! tranb) {
i__2 = *kk;
for (k = 1; k <= i__2; ++k) {
i__3 = *m;
for (i__ = 1; i__ <= i__3; ++i__) {
ct[i__] += a[k + i__ * a_dim1] * b[k + j * b_dim1];
g[i__] += (r__1 = a[k + i__ * a_dim1], dabs(r__1)) * (
r__2 = b[k + j * b_dim1], dabs(r__2));
/* L40: */
}
/* L50: */
}
} else if (! trana && tranb) {
i__2 = *kk;
for (k = 1; k <= i__2; ++k) {
i__3 = *m;
for (i__ = 1; i__ <= i__3; ++i__) {
ct[i__] += a[i__ + k * a_dim1] * b[j + k * b_dim1];
g[i__] += (r__1 = a[i__ + k * a_dim1], dabs(r__1)) * (
r__2 = b[j + k * b_dim1], dabs(r__2));
/* L60: */
}
/* L70: */
}
} else if (trana && tranb) {
i__2 = *kk;
for (k = 1; k <= i__2; ++k) {
i__3 = *m;
for (i__ = 1; i__ <= i__3; ++i__) {
ct[i__] += a[k + i__ * a_dim1] * b[j + k * b_dim1];
g[i__] += (r__1 = a[k + i__ * a_dim1], dabs(r__1)) * (
r__2 = b[j + k * b_dim1], dabs(r__2));
/* L80: */
}
/* L90: */
}
}
i__2 = *m;
for (i__ = 1; i__ <= i__2; ++i__) {
ct[i__] = *alpha * ct[i__] + *beta * c__[i__ + j * c_dim1];
g[i__] = dabs(*alpha) * g[i__] + dabs(*beta) * (r__1 = c__[i__ +
j * c_dim1], dabs(r__1));
/* L100: */
}
/* Compute the error ratio for this result. */
*err = (float)0.;
i__2 = *m;
for (i__ = 1; i__ <= i__2; ++i__) {
erri = (r__1 = ct[i__] - cc[i__ + j * cc_dim1], dabs(r__1)) / *
eps;
if (g[i__] != (float)0.) {
erri /= g[i__];
}
*err = dmax(*err,erri);
if (*err * sqrt(*eps) >= (float)1.) {
goto L130;
}
/* L110: */
}
/* L120: */
}
/* If the loop completes, all results are at least half accurate. */
goto L150;
/* Report fatal error. */
L130:
*fatal = TRUE_;
printf(" ******* FATAL ERROR - COMPUTED RESULT IS LESS THAN HALF ACCURATE *******\n");
printf(" EXPECTED RESULT COMPUTED RESULT\n");
i__1 = *m;
for (i__ = 1; i__ <= i__1; ++i__) {
if (*mv) {
printf("%7d %15.6g %15.6g\n",i__,ct[i__],cc[i__+j*cc_dim1]);
} else {
printf("%7d %15.6g %15.6g\n",i__,cc[i__+j*cc_dim1],ct[i__]);
}
/* L140: */
}
if (*n > 1) {
printf(" THESE ARE THE RESULTS FOR COLUMN %d\n",j);
}
L150:
return 0;
/* End of SMMCH. */
} /* smmch_ */
logical lse_(ri, rj, lr)
real *ri, *rj;
integer *lr;
{
/* System generated locals */
integer i__1;
logical ret_val;
/* Local variables */
static integer i__;
/* Tests if two arrays are identical. */
/* Auxiliary routine for test program for Level 3 Blas. */
/* -- Written on 8-February-1989. */
/* Jack Dongarra, Argonne National Laboratory. */
/* Iain Duff, AERE Harwell. */
/* Jeremy Du Croz, Numerical Algorithms Group Ltd. */
/* Sven Hammarling, Numerical Algorithms Group Ltd. */
/* .. Scalar Arguments .. */
/* .. Array Arguments .. */
/* .. Local Scalars .. */
/* .. Executable Statements .. */
/* Parameter adjustments */
--rj;
--ri;
/* Function Body */
i__1 = *lr;
for (i__ = 1; i__ <= i__1; ++i__) {
if (ri[i__] != rj[i__]) {
goto L20;
}
/* L10: */
}
ret_val = TRUE_;
goto L30;
L20:
ret_val = FALSE_;
L30:
return ret_val;
/* End of LSE. */
} /* lse_ */
logical lseres_(type__, uplo, m, n, aa, as, lda, type_len, uplo_len)
char *type__, *uplo;
integer *m, *n;
real *aa, *as;
integer *lda;
ftnlen type_len;
ftnlen uplo_len;
{
/* System generated locals */
integer aa_dim1, aa_offset, as_dim1, as_offset, i__1, i__2;
logical ret_val;
/* Builtin functions */
/* Local variables */
static integer ibeg, iend, i__, j;
static logical upper;
/* Tests if selected elements in two arrays are equal. */
/* TYPE is 'GE' or 'SY'. */
/* Auxiliary routine for test program for Level 3 Blas. */
/* -- Written on 8-February-1989. */
/* Jack Dongarra, Argonne National Laboratory. */
/* Iain Duff, AERE Harwell. */
/* Jeremy Du Croz, Numerical Algorithms Group Ltd. */
/* Sven Hammarling, Numerical Algorithms Group Ltd. */
/* .. Scalar Arguments .. */
/* .. Array Arguments .. */
/* .. Local Scalars .. */
/* .. Executable Statements .. */
/* Parameter adjustments */
as_dim1 = *lda;
as_offset = 1 + as_dim1 * 1;
as -= as_offset;
aa_dim1 = *lda;
aa_offset = 1 + aa_dim1 * 1;
aa -= aa_offset;
/* Function Body */
upper = *(unsigned char *)uplo == 'U';
if (s_cmp(type__, "GE", (ftnlen)2, (ftnlen)2) == 0) {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
i__2 = *lda;
for (i__ = *m + 1; i__ <= i__2; ++i__) {
if (aa[i__ + j * aa_dim1] != as[i__ + j * as_dim1]) {
goto L70;
}
/* L10: */
}
/* L20: */
}
} else if (s_cmp(type__, "SY", (ftnlen)2, (ftnlen)2) == 0) {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
if (upper) {
ibeg = 1;
iend = j;
} else {
ibeg = j;
iend = *n;
}
i__2 = ibeg - 1;
for (i__ = 1; i__ <= i__2; ++i__) {
if (aa[i__ + j * aa_dim1] != as[i__ + j * as_dim1]) {
goto L70;
}
/* L30: */
}
i__2 = *lda;
for (i__ = iend + 1; i__ <= i__2; ++i__) {
if (aa[i__ + j * aa_dim1] != as[i__ + j * as_dim1]) {
goto L70;
}
/* L40: */
}
/* L50: */
}
}
/* 60 CONTINUE */
ret_val = TRUE_;
goto L80;
L70:
ret_val = FALSE_;
L80:
return ret_val;
/* End of LSERES. */
} /* lseres_ */
doublereal sbeg_(reset)
logical *reset;
{
/* System generated locals */
real ret_val;
/* Local variables */
static integer i__, ic, mi;
/* Generates random numbers uniformly distributed between -0.5 and 0.5. */
/* Auxiliary routine for test program for Level 3 Blas. */
/* -- Written on 8-February-1989. */
/* Jack Dongarra, Argonne National Laboratory. */
/* Iain Duff, AERE Harwell. */
/* Jeremy Du Croz, Numerical Algorithms Group Ltd. */
/* Sven Hammarling, Numerical Algorithms Group Ltd. */
/* .. Scalar Arguments .. */
/* .. Local Scalars .. */
/* .. Save statement .. */
/* .. Executable Statements .. */
if (*reset) {
/* Initialize local variables. */
mi = 891;
i__ = 7;
ic = 0;
*reset = FALSE_;
}
/* The sequence of values of I is bounded between 1 and 999. */
/* If initial I = 1,2,3,6,7 or 9, the period will be 50. */
/* If initial I = 4 or 8, the period will be 25. */
/* If initial I = 5, the period will be 10. */
/* IC is used to break up the period by skipping 1 value of I in 6. */
++ic;
L10:
i__ *= mi;
i__ -= i__ / 1000 * 1000;
if (ic >= 5) {
ic = 0;
goto L10;
}
ret_val = (i__ - 500) / (float)1001.;
return ret_val;
/* End of SBEG. */
} /* sbeg_ */
doublereal sdiff_(x, y)
real *x, *y;
{
/* System generated locals */
real ret_val;
/* Auxiliary routine for test program for Level 3 Blas. */
/* -- Written on 8-February-1989. */
/* Jack Dongarra, Argonne National Laboratory. */
/* Iain Duff, AERE Harwell. */
/* Jeremy Du Croz, Numerical Algorithms Group Ltd. */
/* Sven Hammarling, Numerical Algorithms Group Ltd. */
/* .. Scalar Arguments .. */
/* .. Executable Statements .. */
ret_val = *x - *y;
return ret_val;
/* End of SDIFF. */
} /* sdiff_ */
/* Main program alias */ /*int sblat3_ () { MAIN__ (); }*/