#include #include #include #include #include #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 /* Common Block Declarations */ struct { integer infot, noutc; logical ok, lerr; } infoc_; #define infoc_1 infoc_ struct { char srnamt[12]; } srnamc_; #define srnamc_1 srnamc_ /* Table of constant values */ static doublecomplex c_b1 = {0.,0.}; static doublecomplex c_b2 = {1.,0.}; static integer c__1 = 1; static integer c__65 = 65; static doublereal c_b92 = 1.; 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[9][13] = { "cblas_zgemm ", "cblas_zhemm ", "cblas_zsymm ", "cblas_ztrmm ", "cblas_ztrsm ", "cblas_zherk ", "cblas_zsyrk ", "cblas_zher2k", "cblas_zsyr2k"}; /* System generated locals */ integer i__1, i__2, i__3, i__4, i__5; doublereal d__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(); /* Local variables */ static integer nalf, idim[9]; static logical same; static integer nbet, ntra; static logical rewi; extern /* Subroutine */ int zchk1_(), zchk2_(), zchk3_(), zchk4_(), zchk5_(); static doublecomplex c__[4225] /* was [65][65] */; static doublereal g[65]; static integer i__, j; extern doublereal ddiff_(); static integer n; static logical fatal; static doublecomplex w[130]; static logical trace; static integer nidim; extern /* Subroutine */ int zmmch_(); static char snaps[32]; static integer isnum; static logical ltest[9]; static doublecomplex 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 doublereal thresh; static logical rorder; static integer layout; static logical ltestt, tsterr; extern /* Subroutine */ int cz3chke_(); static doublecomplex alf[7], bet[7]; static doublereal eps, err; extern logical lze_(); char tmpchar; /* Test program for the COMPLEX*16 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 9 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 22 lines: */ /* 'CBLAT3.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 */ /* (0.0,0.0) (1.0,0.0) (0.7,-0.9) VALUES OF ALPHA */ /* 3 NUMBER OF VALUES OF BETA */ /* (0.0,0.0) (1.0,0.0) (1.3,-1.1) VALUES OF BETA */ /* ZGEMM T PUT F FOR NO TEST. SAME COLUMNS. */ /* ZHEMM T PUT F FOR NO TEST. SAME COLUMNS. */ /* ZSYMM T PUT F FOR NO TEST. SAME COLUMNS. */ /* ZTRMM T PUT F FOR NO TEST. SAME COLUMNS. */ /* ZTRSM T PUT F FOR NO TEST. SAME COLUMNS. */ /* ZHERK T PUT F FOR NO TEST. SAME COLUMNS. */ /* ZSYRK T PUT F FOR NO TEST. SAME COLUMNS. */ /* ZHER2K T PUT F FOR NO TEST. SAME COLUMNS. */ /* ZSYR2K 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 snapshot 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) { /* o__1.oerr = 0; o__1.ounit = ntra; o__1.ofnmlen = 32; o__1.ofnm = snaps; o__1.orl = 0; o__1.osta = "NEW"; 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); sfatal=FALSE_; if (tmpchar=='T')sfatal=TRUE_; /* Read the flag that indicates whether error exits are to be tested. */ fgets(line,80,stdin); sscanf(line,"%c",&tmpchar); 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,"%lf",&thresh); /* Read and check the parameter values for the tests. */ /* Values of N */ fgets(line,80,stdin); #ifdef USE64BITINT sscanf(line,"%d",&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,"(%lf,%lf) (%lf,%lf) (%lf,%lf) (%lf,%lf) (%lf,%lf) (%lf,%lf) (%lf,%lf)",&alf[0].r,&alf[0].i,&alf[1].r,&alf[1].i,&alf[2].r,&alf[2].i,&alf[3].r,&alf[3].i, &alf[4].r,&alf[4].i,&alf[5].r,&alf[5].i,&alf[6].r,&alf[6].i); /* 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,"(%lf,%lf) (%lf,%lf) (%lf,%lf) (%lf,%lf) (%lf,%lf) (%lf,%lf) (%lf,%lf)",&bet[0].r,&bet[0].i,&bet[1].r,&bet[1].i,&bet[2].r,&bet[2].i,&bet[3].r,&bet[3].i, &bet[4].r,&bet[4].i,&bet[5].r,&bet[5].i,&bet[6].r,&bet[6].i); /* Report values of parameters. */ printf("TESTS OF THE DOUBLE PRECISION COMPLEX 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(" (%lf,%lf)",alf[i__-1].r,alf[i__-1].i); printf("\n"); printf(" FOR BETA"); for (i__ =1; i__ <=nbet;++i__) printf(" (%lf,%lf)",bet[i__-1].r,bet[i__-1].i); printf("\n"); if (! tsterr) { printf(" ERROR-EXITS WILL NOT BE TESTED\n"); } printf("ROUTINES PASS COMPUTATIONAL TESTS IF TEST RATIO IS LESS THAN %lf\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__ <= 9; ++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: /* cl__1.cerr = 0; cl__1.cunit = 5; cl__1.csta = 0; f_clos(&cl__1);*/ /* Compute EPS (the machine precision). */ eps = 1.; L70: d__1 = eps + 1.; if (ddiff_(&d__1, &c_b92) == 0.) { goto L80; } eps *= .5; goto L70; L80: eps += eps; printf("RELATIVE MACHINE PRECISION IS TAKEN TO BE %9.1g\n",eps); /* Check the reliability of ZMMCH 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__) { i__3 = i__ + j * 65 - 66; /* Computing MAX */ i__5 = i__ - j + 1; i__4 = f2cmax(i__5,0); ab[i__3].r = (doublereal) i__4, ab[i__3].i = 0.; /* L90: */ } i__2 = j + 4224; ab[i__2].r = (doublereal) j, ab[i__2].i = 0.; i__2 = (j + 65) * 65 - 65; ab[i__2].r = (doublereal) j, ab[i__2].i = 0.; i__2 = j - 1; c__[i__2].r = 0., c__[i__2].i = 0.; /* L100: */ } i__1 = n; for (j = 1; j <= i__1; ++j) { i__2 = j - 1; i__3 = j * ((j + 1) * j) / 2 - (j + 1) * j * (j - 1) / 3; cc[i__2].r = (doublereal) i__3, cc[i__2].i = 0.; /* L110: */ } /* CC holds the exact result. On exit from ZMMCH CT holds */ /* the result computed by ZMMCH. */ *(unsigned char *)transa = 'N'; *(unsigned char *)transb = 'N'; zmmch_(transa, transb, &n, &c__1, &n, &c_b2, ab, &c__65, &ab[4225], & c__65, &c_b1, c__, &c__65, ct, g, cc, &c__65, &eps, &err, &fatal, &c__6, &c_true, (ftnlen)1, (ftnlen)1); same = lze_(cc, ct, &n); if (! same || err != 0.) { printf("ERROR IN ZMMCH - IN-LINE DOT PRODUCTS ARE BEING EVALUATED WRONGLY\n"); printf("ZMMCH 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 = 'C'; zmmch_(transa, transb, &n, &c__1, &n, &c_b2, ab, &c__65, &ab[4225], & c__65, &c_b1, c__, &c__65, ct, g, cc, &c__65, &eps, &err, &fatal, &c__6, &c_true, (ftnlen)1, (ftnlen)1); same = lze_(cc, ct, &n); if (! same || err != 0.) { printf("ERROR IN ZMMCH - IN-LINE DOT PRODUCTS ARE BEING EVALUATED WRONGLY\n"); printf("ZMMCH 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) { i__2 = j + 4224; i__3 = n - j + 1; ab[i__2].r = (doublereal) i__3, ab[i__2].i = 0.; i__2 = (j + 65) * 65 - 65; i__3 = n - j + 1; ab[i__2].r = (doublereal) i__3, ab[i__2].i = 0.; /* L120: */ } i__1 = n; for (j = 1; j <= i__1; ++j) { i__2 = n - j; i__3 = j * ((j + 1) * j) / 2 - (j + 1) * j * (j - 1) / 3; cc[i__2].r = (doublereal) i__3, cc[i__2].i = 0.; /* L130: */ } *(unsigned char *)transa = 'C'; *(unsigned char *)transb = 'N'; zmmch_(transa, transb, &n, &c__1, &n, &c_b2, ab, &c__65, &ab[4225], & c__65, &c_b1, c__, &c__65, ct, g, cc, &c__65, &eps, &err, &fatal, &c__6, &c_true, (ftnlen)1, (ftnlen)1); same = lze_(cc, ct, &n); if (! same || err != 0.) { printf("ERROR IN ZMMCH - IN-LINE DOT PRODUCTS ARE BEING EVALUATED WRONGLY\n"); printf("ZMMCH 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 = 'C'; zmmch_(transa, transb, &n, &c__1, &n, &c_b2, ab, &c__65, &ab[4225], & c__65, &c_b1, c__, &c__65, ct, g, cc, &c__65, &eps, &err, &fatal, &c__6, &c_true, (ftnlen)1, (ftnlen)1); same = lze_(cc, ct, &n); if (! same || err != 0.) { printf("ERROR IN ZMMCH - IN-LINE DOT PRODUCTS ARE BEING EVALUATED WRONGLY\n"); printf("ZMMCH 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 <= 9; ++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) { cz3chke_(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 L150; case 4: goto L160; case 5: goto L160; case 6: goto L170; case 7: goto L170; case 8: goto L180; case 9: goto L180; } /* Test ZGEMM, 01. */ L140: if (corder) { zchk1_(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) { zchk1_(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 ZHEMM, 02, ZSYMM, 03. */ L150: if (corder) { zchk2_(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) { zchk2_(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 ZTRMM, 04, ZTRSM, 05. */ L160: if (corder) { zchk3_(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) { zchk3_(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 ZHERK, 06, ZSYRK, 07. */ L170: if (corder) { zchk4_(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) { zchk4_(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 ZHER2K, 08, ZSYR2K, 09. */ L180: if (corder) { zchk5_(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) { zchk5_(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) { /* cl__1.cerr = 0; cl__1.cunit = ntra; cl__1.csta = 0; f_clos(&cl__1);*/ } /* cl__1.cerr = 0; cl__1.cunit = 6; cl__1.csta = 0; f_clos(&cl__1);*/ exit(0); /* End of ZBLAT3. */ } /* MAIN__ */ /* Subroutine */ int zchk1_(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; doublereal *eps, *thresh; integer *nout, *ntra; logical *trace, *rewi, *fatal; integer *nidim, *idim, *nalf; doublecomplex *alf; integer *nbet; doublecomplex *bet; integer *nmax; doublecomplex *a, *aa, *as, *b, *bb, *bs, *c__, *cc, *cs, *ct; doublereal *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, i__7, i__8; /* Local variables */ static doublecomplex beta; static integer ldas, ldbs, ldcs; static logical same, null; static integer i__, k, m, n; static doublecomplex alpha; static logical isame[13], trana, tranb; extern /* Subroutine */ int zmake_(); static integer nargs; extern /* Subroutine */ int zmmch_(); static logical reset; static integer ia, ib; extern /* Subroutine */ int zprcn1_(); static integer ma, mb, na, nb, nc, ik, im, in, ks, ms, ns; extern /* Subroutine */ int czgemm_(); static char tranas[1], tranbs[1], transa[1], transb[1]; static doublereal errmax; extern logical lzeres_(); static integer ica, icb, laa, lbb, lda, lcc, ldb, ldc; static doublecomplex als, bls; static doublereal err; extern logical lze_(); /* Tests ZGEMM. */ /* 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 = 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. */ zmake_("ge", " ", " ", &ma, &na, &a[a_offset], nmax, &aa[ 1], &lda, &reset, &c_b1, (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. */ zmake_("ge", " ", " ", &mb, &nb, &b[b_offset], nmax, & bb[1], &ldb, &reset, &c_b1, (ftnlen)2, ( ftnlen)1, (ftnlen)1); i__4 = *nalf; for (ia = 1; ia <= i__4; ++ia) { i__5 = ia; alpha.r = alf[i__5].r, alpha.i = alf[i__5].i; i__5 = *nbet; for (ib = 1; ib <= i__5; ++ib) { i__6 = ib; beta.r = bet[i__6].r, beta.i = bet[i__6].i; /* Generate the matrix C. */ zmake_("ge", " ", " ", &m, &n, &c__[c_offset], nmax, &cc[1], &ldc, &reset, &c_b1, ( 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.r = alpha.r, als.i = alpha.i; i__6 = laa; for (i__ = 1; i__ <= i__6; ++i__) { i__7 = i__; i__8 = i__; as[i__7].r = aa[i__8].r, as[i__7].i = aa[ i__8].i; /* L10: */ } ldas = lda; i__6 = lbb; for (i__ = 1; i__ <= i__6; ++i__) { i__7 = i__; i__8 = i__; bs[i__7].r = bb[i__8].r, bs[i__7].i = bb[ i__8].i; /* L20: */ } ldbs = ldb; bls.r = beta.r, bls.i = beta.i; i__6 = lcc; for (i__ = 1; i__ <= i__6; ++i__) { i__7 = i__; i__8 = i__; cs[i__7].r = cc[i__8].r, cs[i__7].i = cc[ i__8].i; /* L30: */ } ldcs = ldc; /* Call the subroutine. */ if (*trace) { zprcn1_(ntra, &nc, sname, iorder, transa, transb, &m, &n, &k, &alpha, &lda, &ldb, &beta, &ldc, (ftnlen)12, ( ftnlen)1, (ftnlen)1); } if (*rewi) { /* al__1.aerr = 0; al__1.aunit = *ntra; f_rew(&al__1);*/ } czgemm_(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.r == alpha.r && als.i == alpha.i; isame[6] = lze_(&as[1], &aa[1], &laa); isame[7] = ldas == lda; isame[8] = lze_(&bs[1], &bb[1], &lbb); isame[9] = ldbs == ldb; isame[10] = bls.r == beta.r && bls.i == beta.i; if (null) { isame[11] = lze_(&cs[1], &cc[1], &lcc); } else { isame[11] = lzeres_("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. */ zmmch_(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 = f2cmax(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); zprcn1_(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, ',', F4.1, '), A,', I3, ', B,', I3, */ /* $ ',(', F4.1, ',', F4.1, '), C,', I3, ').' ) */ /* End of ZCHK1. */ } /* zchk1_ */ /* Subroutine */ int zprcn1_(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; doublecomplex *alpha; integer *lda, *ldb; doublecomplex *beta; integer *ldc; ftnlen sname_len; ftnlen transa_len; ftnlen transb_len; { /* 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 (%4.1lf,%4.1lf) , A, %d, B, %d, (%4.1lf,%4.1lf) , C, %d.\n",*m,*n,*k,alpha->r,alpha->i,*lda,*ldb,beta->r,beta->i,*ldc); return 0; } /* zprcn1_ */ /* Subroutine */ int zchk2_(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; doublereal *eps, *thresh; integer *nout, *ntra; logical *trace, *rewi, *fatal; integer *nidim, *idim, *nalf; doublecomplex *alf; integer *nbet; doublecomplex *bet; integer *nmax; doublecomplex *a, *aa, *as, *b, *bb, *bs, *c__, *cc, *cs, *ct; doublereal *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, i__6, i__7; /* Local variables */ static doublecomplex beta; static integer ldas, ldbs, ldcs; static logical same; static char side[1]; static logical isconj, left, null; static char uplo[1]; static integer i__, m, n; static doublecomplex alpha; static logical isame[13]; static char sides[1]; extern /* Subroutine */ int zmake_(); static integer nargs; extern /* Subroutine */ int zmmch_(); static logical reset; static char uplos[1]; static integer ia, ib; extern /* Subroutine */ int zprcn2_(); static integer na, nc, im, in, ms, ns; extern /* Subroutine */ int czhemm_(); static doublereal errmax; extern logical lzeres_(); extern /* Subroutine */ int czsymm_(); static integer laa, lbb, lda, lcc, ldb, ldc, ics; static doublecomplex als, bls; static integer icu; static doublereal err; extern logical lze_(); /* Tests ZHEMM and ZSYMM. */ /* 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 .. */ isconj = s_cmp(sname + 7, "he", (ftnlen)2, (ftnlen)2) == 0; nargs = 12; nc = 0; reset = TRUE_; errmax = 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. */ zmake_("ge", " ", " ", &m, &n, &b[b_offset], nmax, &bb[1], &ldb, & reset, &c_b1, (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 hermitian or symmetric matrix A. */ zmake_(sname + 7, uplo, " ", &na, &na, &a[a_offset], nmax, &aa[1], &lda, &reset, &c_b1, (ftnlen)2, (ftnlen) 1, (ftnlen)1); i__3 = *nalf; for (ia = 1; ia <= i__3; ++ia) { i__4 = ia; alpha.r = alf[i__4].r, alpha.i = alf[i__4].i; i__4 = *nbet; for (ib = 1; ib <= i__4; ++ib) { i__5 = ib; beta.r = bet[i__5].r, beta.i = bet[i__5].i; /* Generate the matrix C. */ zmake_("ge", " ", " ", &m, &n, &c__[c_offset], nmax, &cc[1], &ldc, &reset, &c_b1, ( 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.r = alpha.r, als.i = alpha.i; i__5 = laa; for (i__ = 1; i__ <= i__5; ++i__) { i__6 = i__; i__7 = i__; as[i__6].r = aa[i__7].r, as[i__6].i = aa[i__7] .i; /* L10: */ } ldas = lda; i__5 = lbb; for (i__ = 1; i__ <= i__5; ++i__) { i__6 = i__; i__7 = i__; bs[i__6].r = bb[i__7].r, bs[i__6].i = bb[i__7] .i; /* L20: */ } ldbs = ldb; bls.r = beta.r, bls.i = beta.i; i__5 = lcc; for (i__ = 1; i__ <= i__5; ++i__) { i__6 = i__; i__7 = i__; cs[i__6].r = cc[i__7].r, cs[i__6].i = cc[i__7] .i; /* L30: */ } ldcs = ldc; /* Call the subroutine. */ if (*trace) { zprcn2_(ntra, &nc, sname, iorder, side, uplo, &m, &n, &alpha, &lda, &ldb, &beta, & ldc, (ftnlen)12, (ftnlen)1, (ftnlen)1) ; } if (*rewi) { /* al__1.aerr = 0; al__1.aunit = *ntra; f_rew(&al__1);*/ } if (isconj) { czhemm_(iorder, side, uplo, &m, &n, &alpha, & aa[1], &lda, &bb[1], &ldb, &beta, &cc[ 1], &ldc, (ftnlen)1, (ftnlen)1); } else { czsymm_(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.r == alpha.r && als.i == alpha.i; isame[5] = lze_(&as[1], &aa[1], &laa); isame[6] = ldas == lda; isame[7] = lze_(&bs[1], &bb[1], &lbb); isame[8] = ldbs == ldb; isame[9] = bls.r == beta.r && bls.i == beta.i; if (null) { isame[10] = lze_(&cs[1], &cc[1], &lcc); } else { isame[10] = lzeres_("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) { zmmch_("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 { zmmch_("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 = f2cmax(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); zprcn2_(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, ',', F4.1, '), A,', I3, ', B,', I3, ',(', F4.1, */ /* $ ',', F4.1, '), C,', I3, ') .' ) */ /* End of ZCHK2. */ } /* zchk2_ */ /* Subroutine */ int zprcn2_(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; doublecomplex *alpha; integer *lda, *ldb; doublecomplex *beta; integer *ldc; ftnlen sname_len; ftnlen side_len; ftnlen uplo_len; { /* 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 (%4.1lf,%4.1lf) , A, %d, B, %d, (%4.1lf,%4.1lf) , C, %d.\n",*m,*n,alpha->r,alpha->i,*lda,*ldb,beta->r,beta->i,*ldc); return 0; } /* zprcn2_ */ /* Subroutine */ int zchk3_(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; doublereal *eps, *thresh; integer *nout, *ntra; logical *trace, *rewi, *fatal; integer *nidim, *idim, *nalf; doublecomplex *alf; integer *nmax; doublecomplex *a, *aa, *as, *b, *bb, *bs, *ct; doublereal *g; doublecomplex *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, i__6, i__7; doublecomplex z__1; /* 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 doublecomplex alpha; static char diags[1]; static logical isame[13]; static char sides[1]; extern /* Subroutine */ int zmake_(); static integer nargs; extern /* Subroutine */ int zmmch_(); static logical reset; static char uplos[1]; static integer ia, na; extern /* Subroutine */ int zprcn3_(); static integer nc, im, in, ms, ns; static char tranas[1], transa[1]; static doublereal errmax; extern logical lzeres_(); extern /* Subroutine */ int cztrmm_(), cztrsm_(); static integer laa, icd, lbb, lda, ldb, ics; static doublecomplex als; static integer ict, icu; static doublereal err; extern logical lze_(); /* Tests ZTRMM and ZTRSM. */ /* 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 = 0.; /* Set up zero matrix for ZMMCH. */ i__1 = *nmax; for (j = 1; j <= i__1; ++j) { i__2 = *nmax; for (i__ = 1; i__ <= i__2; ++i__) { i__3 = i__ + j * c_dim1; c__[i__3].r = 0., c__[i__3].i = 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) { i__4 = ia; alpha.r = alf[i__4].r, alpha.i = alf[i__4].i; /* Generate the matrix A. */ zmake_("tr", uplo, diag, &na, &na, &a[ a_offset], nmax, &aa[1], &lda, &reset, &c_b1, (ftnlen)2, (ftnlen)1, (ftnlen) 1); /* Generate the matrix B. */ zmake_("ge", " ", " ", &m, &n, &b[b_offset], nmax, &bb[1], &ldb, &reset, &c_b1, ( 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.r = alpha.r, als.i = alpha.i; i__4 = laa; for (i__ = 1; i__ <= i__4; ++i__) { i__5 = i__; i__6 = i__; as[i__5].r = aa[i__6].r, as[i__5].i = aa[ i__6].i; /* L30: */ } ldas = lda; i__4 = lbb; for (i__ = 1; i__ <= i__4; ++i__) { i__5 = i__; i__6 = i__; bs[i__5].r = bb[i__6].r, bs[i__5].i = bb[ i__6].i; /* L40: */ } ldbs = ldb; /* Call the subroutine. */ if (s_cmp(sname + 9, "mm", (ftnlen)2, (ftnlen) 2) == 0) { if (*trace) { zprcn3_(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) { /* al__1.aerr = 0; al__1.aunit = *ntra; f_rew(&al__1);*/ } cztrmm_(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) { zprcn3_(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) { /* al__1.aerr = 0; al__1.aunit = *ntra; f_rew(&al__1);*/ } cztrsm_(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.r == alpha.r && als.i == alpha.i; isame[7] = lze_(&as[1], &aa[1], &laa); isame[8] = ldas == lda; if (null) { isame[9] = lze_(&bs[1], &bb[1], &lbb); } else { isame[9] = lzeres_("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) { zmmch_(transa, "N", &m, &n, &m, & alpha, &a[a_offset], nmax, &b[b_offset], nmax, & c_b1, &c__[c_offset], nmax, &ct[1], &g[1], &bb[ 1], &ldb, eps, &err, fatal, nout, &c_true, ( ftnlen)1, (ftnlen)1); } else { zmmch_("N", transa, &m, &n, &n, & alpha, &b[b_offset], nmax, &a[a_offset], nmax, & c_b1, &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__) { i__6 = i__ + j * c_dim1; i__7 = i__ + (j - 1) * ldb; c__[i__6].r = bb[i__7].r, c__[i__6].i = bb[i__7].i; i__6 = i__ + (j - 1) * ldb; i__7 = i__ + j * b_dim1; z__1.r = alpha.r * b[i__7].r - alpha.i * b[i__7].i, z__1.i = alpha.r * b[i__7].i + alpha.i * b[ i__7].r; bb[i__6].r = z__1.r, bb[i__6].i = z__1.i; /* L60: */ } /* L70: */ } if (left) { zmmch_(transa, "N", &m, &n, &m, & c_b2, &a[a_offset], nmax, &c__[c_offset], nmax, & c_b1, &b[b_offset], nmax, &ct[1], &g[1], &bb[1], & ldb, eps, &err, fatal, nout, &c_false, (ftnlen)1, (ftnlen)1); } else { zmmch_("N", transa, &m, &n, &n, & c_b2, &c__[c_offset], nmax, &a[a_offset], nmax, &c_b1, &b[b_offset], nmax, &ct[1], &g[1], &bb[1], & ldb, eps, &err, fatal, nout, &c_false, (ftnlen)1, (ftnlen)1); } } errmax = f2cmax(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) { zprcn3_(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, ',', F4.1, '), A,', I3, ', B,', I3, ') ', */ /* $ ' .' ) */ /* End of ZCHK3. */ } /* zchk3_ */ /* Subroutine */ int zprcn3_(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; doublecomplex *alpha; integer *lda, *ldb; ftnlen sname_len; ftnlen side_len; ftnlen uplo_len; ftnlen transa_len; ftnlen diag_len; { /* 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)14); } else { s_copy(crc, " CblasColMajor", (ftnlen)14, (ftnlen)14); } printf("%6d: %s %s %s %s\n",*nc,sname,crc,cs,cu); printf(" %s %s %d %d (%4.1lf,%4.1lf) A %d B %d\n",ca,cd,*m,*n,alpha->r,alpha->i,*lda,*ldb); return 0; } /* zprcn3_ */ /* Subroutine */ int zchk4_(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; doublereal *eps, *thresh; integer *nout, *ntra; logical *trace, *rewi, *fatal; integer *nidim, *idim, *nalf; doublecomplex *alf; integer *nbet; doublecomplex *bet; integer *nmax; doublecomplex *a, *aa, *as, *b, *bb, *bs, *c__, *cc, *cs, *ct; doublereal *g; integer *iorder; ftnlen sname_len; { /* Initialized data */ static char icht[2+1] = "NC"; 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, i__6, i__7; doublecomplex z__1; /* Local variables */ static doublecomplex beta; static integer ldas, ldcs; static logical same, isconj; static doublecomplex bets; static doublereal rals; static logical tran, null; static char uplo[1]; static integer i__, j, k, n; static doublecomplex alpha; static doublereal rbeta; static logical isame[13]; extern /* Subroutine */ int zmake_(); static integer nargs; extern /* Subroutine */ int zmmch_(); static doublereal rbets; static logical reset; static char trans[1]; static logical upper; static char uplos[1]; static integer ia, ib, jc, ma, na; extern /* Subroutine */ int zprcn4_(); static integer nc; extern /* Subroutine */ int zprcn6_(); static integer ik, in, jj, lj, ks, ns; static doublereal ralpha; extern /* Subroutine */ int czherk_(); static doublereal errmax; extern logical lzeres_(); static char transs[1], transt[1]; extern /* Subroutine */ int czsyrk_(); static integer laa, lda, lcc, ldc; static doublecomplex als; static integer ict, icu; static doublereal err; extern logical lze_(); /* Tests ZHERK and ZSYRK. */ /* 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 .. */ isconj = s_cmp(sname + 7, "he", (ftnlen)2, (ftnlen)2) == 0; nargs = 10; nc = 0; reset = TRUE_; errmax = 0.; rals = 1.; rbets = 1.; 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; i__2 = *nidim; for (ik = 1; ik <= i__2; ++ik) { k = idim[ik]; for (ict = 1; ict <= 2; ++ict) { *(unsigned char *)trans = *(unsigned char *)&icht[ict - 1]; tran = *(unsigned char *)trans == 'C'; if (tran && ! isconj) { *(unsigned char *)trans = 'T'; } 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. */ zmake_("ge", " ", " ", &ma, &na, &a[a_offset], nmax, &aa[1], & lda, &reset, &c_b1, (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) { i__4 = ia; alpha.r = alf[i__4].r, alpha.i = alf[i__4].i; if (isconj) { ralpha = alpha.r; z__1.r = ralpha, z__1.i = 0.; alpha.r = z__1.r, alpha.i = z__1.i; } i__4 = *nbet; for (ib = 1; ib <= i__4; ++ib) { i__5 = ib; beta.r = bet[i__5].r, beta.i = bet[i__5].i; if (isconj) { rbeta = beta.r; z__1.r = rbeta, z__1.i = 0.; beta.r = z__1.r, beta.i = z__1.i; } null = n <= 0; if (isconj) { null = null ||( (k <= 0 || ralpha == 0.) && rbeta == 1.); } /* Generate the matrix C. */ zmake_(sname + 7, uplo, " ", &n, &n, &c__[ c_offset], nmax, &cc[1], &ldc, &reset, & c_b1, (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; if (isconj) { rals = ralpha; } else { als.r = alpha.r, als.i = alpha.i; } i__5 = laa; for (i__ = 1; i__ <= i__5; ++i__) { i__6 = i__; i__7 = i__; as[i__6].r = aa[i__7].r, as[i__6].i = aa[i__7] .i; /* L10: */ } ldas = lda; if (isconj) { rbets = rbeta; } else { bets.r = beta.r, bets.i = beta.i; } i__5 = lcc; for (i__ = 1; i__ <= i__5; ++i__) { i__6 = i__; i__7 = i__; cs[i__6].r = cc[i__7].r, cs[i__6].i = cc[i__7] .i; /* L20: */ } ldcs = ldc; /* Call the subroutine. */ if (isconj) { if (*trace) { zprcn6_(ntra, &nc, sname, iorder, uplo, trans, &n, &k, &ralpha, &lda, & rbeta, &ldc, (ftnlen)12, (ftnlen) 1, (ftnlen)1); } if (*rewi) { /* al__1.aerr = 0; al__1.aunit = *ntra; f_rew(&al__1);*/ } czherk_(iorder, uplo, trans, &n, &k, &ralpha, &aa[1], &lda, &rbeta, &cc[1], &ldc, ( ftnlen)1, (ftnlen)1); } else { if (*trace) { zprcn4_(ntra, &nc, sname, iorder, uplo, trans, &n, &k, &alpha, &lda, & beta, &ldc, (ftnlen)12, (ftnlen)1, (ftnlen)1); } if (*rewi) { /* al__1.aerr = 0; al__1.aunit = *ntra; f_rew(&al__1);*/ } czsyrk_(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; if (isconj) { isame[4] = rals == ralpha; } else { isame[4] = als.r == alpha.r && als.i == alpha.i; } isame[5] = lze_(&as[1], &aa[1], &laa); isame[6] = ldas == lda; if (isconj) { isame[7] = rbets == rbeta; } else { isame[7] = bets.r == beta.r && bets.i == beta.i; } if (null) { isame[8] = lze_(&cs[1], &cc[1], &lcc); } else { isame[8] = lzeres_(sname + 7, 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. */ if (isconj) { *(unsigned char *)transt = 'C'; } else { *(unsigned char *)transt = 'T'; } 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) { zmmch_(transt, "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 { zmmch_("N", transt, &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 = f2cmax(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); if (isconj) { zprcn6_(nout, &nc, sname, iorder, uplo, trans, &n, &k, &ralpha, &lda, &rbeta, &ldc, (ftnlen)12, (ftnlen)1, (ftnlen)1); } else { zprcn4_(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, ') ', */ /* $ ' .' ) */ /* 9993 FORMAT(1X, I6, ': ', A12,'(', 2( '''', A1, ''',' ), 2( I3, ',' ), */ /* $ '(', F4.1, ',', F4.1, ') , A,', I3, ',(', F4.1, ',', F4.1, */ /* $ '), C,', I3, ') .' ) */ /* End of CCHK4. */ } /* zchk4_ */ /* Subroutine */ int zprcn4_(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; doublecomplex *alpha; integer *lda; doublecomplex *beta; integer *ldc; ftnlen sname_len; ftnlen uplo_len; ftnlen transa_len; { /* 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 (%4.1lf,%4.1lf) A %d (%4.1lf,%4.1lf) C %d\n",*n,*k,alpha->r,alpha->i,*lda,beta->r,beta->i,*ldc); return 0; } /* zprcn4_ */ /* Subroutine */ int zprcn6_(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; doublereal *alpha; integer *lda; doublereal *beta; integer *ldc; ftnlen sname_len; ftnlen uplo_len; ftnlen transa_len; { /* 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 %4.1lf A %d %4.1lf C %d\n",*n,*k,*alpha,*lda,*beta,*ldc); return 0; } /* zprcn6_ */ /* Subroutine */ int zchk5_(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; doublereal *eps, *thresh; integer *nout, *ntra; logical *trace, *rewi, *fatal; integer *nidim, *idim, *nalf; doublecomplex *alf; integer *nbet; doublecomplex *bet; integer *nmax; doublecomplex *ab, *aa, *as, *bb, *bs, *c__, *cc, *cs, *ct; doublereal *g; doublecomplex *w; integer *iorder; ftnlen sname_len; { /* Initialized data */ static char icht[2+1] = "NC"; 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; doublecomplex z__1, z__2; /* Local variables */ static integer jjab; static doublecomplex beta; static integer ldas, ldbs, ldcs; static logical same, isconj; static doublecomplex bets; static logical tran, null; static char uplo[1]; static integer i__, j, k, n; static doublecomplex alpha; static doublereal rbeta; static logical isame[13]; extern /* Subroutine */ int zmake_(); static integer nargs; extern /* Subroutine */ int zmmch_(); static doublereal rbets; static logical reset; static char trans[1]; static logical upper; static char uplos[1]; static integer ia, ib, jc, ma, na, nc; extern /* Subroutine */ int zprcn5_(), zprcn7_(); static integer ik, in, jj, lj, ks, ns; static doublereal errmax; extern logical lzeres_(); static char transs[1], transt[1]; extern /* Subroutine */ int czher2k_(); static integer laa, lbb, lda, lcc, ldb, ldc; static doublecomplex als; static integer ict, icu; extern /* Subroutine */ int czsyr2k_(); static doublereal err; extern logical lze_(); /* Tests ZHER2K and ZSYR2K. */ /* 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 .. */ isconj = s_cmp(sname + 7, "he", (ftnlen)2, (ftnlen)2) == 0; nargs = 12; nc = 0; reset = TRUE_; errmax = 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; i__2 = *nidim; for (ik = 1; ik <= i__2; ++ik) { k = idim[ik]; for (ict = 1; ict <= 2; ++ict) { *(unsigned char *)trans = *(unsigned char *)&icht[ict - 1]; tran = *(unsigned char *)trans == 'C'; if (tran && ! isconj) { *(unsigned char *)trans = 'T'; } 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; zmake_("ge", " ", " ", &ma, &na, &ab[1], &i__3, &aa[1], & lda, &reset, &c_b1, (ftnlen)2, (ftnlen)1, (ftnlen) 1); } else { zmake_("ge", " ", " ", &ma, &na, &ab[1], nmax, &aa[1], & lda, &reset, &c_b1, (ftnlen)2, (ftnlen)1, (ftnlen) 1); } /* Generate the matrix B. */ ldb = lda; lbb = laa; if (tran) { i__3 = *nmax << 1; zmake_("ge", " ", " ", &ma, &na, &ab[k + 1], &i__3, &bb[1] , &ldb, &reset, &c_b1, (ftnlen)2, (ftnlen)1, ( ftnlen)1); } else { zmake_("ge", " ", " ", &ma, &na, &ab[k * *nmax + 1], nmax, &bb[1], &ldb, &reset, &c_b1, (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) { i__4 = ia; alpha.r = alf[i__4].r, alpha.i = alf[i__4].i; i__4 = *nbet; for (ib = 1; ib <= i__4; ++ib) { i__5 = ib; beta.r = bet[i__5].r, beta.i = bet[i__5].i; if (isconj) { rbeta = beta.r; z__1.r = rbeta, z__1.i = 0.; beta.r = z__1.r, beta.i = z__1.i; } null = n <= 0; if (isconj) { null = null ||( (k <= 0 || (alpha.r == 0. && alpha.i == 0.)) && rbeta == 1.); } /* Generate the matrix C. */ zmake_(sname + 7, uplo, " ", &n, &n, &c__[ c_offset], nmax, &cc[1], &ldc, &reset, & c_b1, (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.r = alpha.r, als.i = alpha.i; i__5 = laa; for (i__ = 1; i__ <= i__5; ++i__) { i__6 = i__; i__7 = i__; as[i__6].r = aa[i__7].r, as[i__6].i = aa[i__7] .i; /* L10: */ } ldas = lda; i__5 = lbb; for (i__ = 1; i__ <= i__5; ++i__) { i__6 = i__; i__7 = i__; bs[i__6].r = bb[i__7].r, bs[i__6].i = bb[i__7] .i; /* L20: */ } ldbs = ldb; if (isconj) { rbets = rbeta; } else { bets.r = beta.r, bets.i = beta.i; } i__5 = lcc; for (i__ = 1; i__ <= i__5; ++i__) { i__6 = i__; i__7 = i__; cs[i__6].r = cc[i__7].r, cs[i__6].i = cc[i__7] .i; /* L30: */ } ldcs = ldc; /* Call the subroutine. */ if (isconj) { if (*trace) { zprcn7_(ntra, &nc, sname, iorder, uplo, trans, &n, &k, &alpha, &lda, &ldb, &rbeta, &ldc, (ftnlen)12, ( ftnlen)1, (ftnlen)1); } if (*rewi) { /* al__1.aerr = 0; al__1.aunit = *ntra; f_rew(&al__1);*/ } czher2k_(iorder, uplo, trans, &n, &k, &alpha, &aa[1], &lda, &bb[1], &ldb, &rbeta, & cc[1], &ldc, (ftnlen)1, (ftnlen)1); } else { if (*trace) { zprcn5_(ntra, &nc, sname, iorder, uplo, trans, &n, &k, &alpha, &lda, &ldb, &beta, &ldc, (ftnlen)12, (ftnlen) 1, (ftnlen)1); } if (*rewi) { /* al__1.aerr = 0; al__1.aunit = *ntra; f_rew(&al__1);*/ } czsyr2k_(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.r == alpha.r && als.i == alpha.i; isame[5] = lze_(&as[1], &aa[1], &laa); isame[6] = ldas == lda; isame[7] = lze_(&bs[1], &bb[1], &lbb); isame[8] = ldbs == ldb; if (isconj) { isame[9] = rbets == rbeta; } else { isame[9] = bets.r == beta.r && bets.i == beta.i; } if (null) { isame[10] = lze_(&cs[1], &cc[1], &lcc); } else { isame[10] = lzeres_("he", 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. */ if (isconj) { *(unsigned char *)transt = 'C'; } else { *(unsigned char *)transt = 'T'; } 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__) { i__7 = i__; i__8 = ((j - 1) << 1) * *nmax + k + i__; z__1.r = alpha.r * ab[i__8].r - alpha.i * ab[i__8].i, z__1.i = alpha.r * ab[ i__8].i + alpha.i * ab[ i__8].r; w[i__7].r = z__1.r, w[i__7].i = z__1.i; if (isconj) { i__7 = k + i__; d_cnjg(&z__2, &alpha); i__8 = ((j - 1) << 1) * *nmax + i__; z__1.r = z__2.r * ab[i__8].r - z__2.i * ab[i__8].i, z__1.i = z__2.r * ab[i__8].i + z__2.i * ab[ i__8].r; w[i__7].r = z__1.r, w[i__7].i = z__1.i; } else { i__7 = k + i__; i__8 = ((j - 1) << 1) * *nmax + i__; z__1.r = alpha.r * ab[i__8].r - alpha.i * ab[i__8] .i, z__1.i = alpha.r * ab[i__8].i + alpha.i * ab[i__8].r; w[i__7].r = z__1.r, w[i__7].i = z__1.i; } /* L50: */ } i__6 = k << 1; i__7 = *nmax << 1; i__8 = *nmax << 1; zmmch_(transt, "N", &lj, &c__1, &i__6, &c_b2, &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__) { if (isconj) { i__7 = i__; d_cnjg(&z__2, &ab[(k + i__ - 1) * *nmax + j]); z__1.r = alpha.r * z__2.r - alpha.i * z__2.i, z__1.i = alpha.r * z__2.i + alpha.i * z__2.r; w[i__7].r = z__1.r, w[i__7].i = z__1.i; i__7 = k + i__; i__8 = (i__ - 1) * *nmax + j; z__2.r = alpha.r * ab[i__8].r - alpha.i * ab[i__8] .i, z__2.i = alpha.r * ab[i__8].i + alpha.i * ab[i__8].r; d_cnjg(&z__1, &z__2); w[i__7].r = z__1.r, w[i__7].i = z__1.i; } else { i__7 = i__; i__8 = (k + i__ - 1) * *nmax + j; z__1.r = alpha.r * ab[i__8].r - alpha.i * ab[i__8] .i, z__1.i = alpha.r * ab[i__8].i + alpha.i * ab[i__8].r; w[i__7].r = z__1.r, w[i__7].i = z__1.i; i__7 = k + i__; i__8 = (i__ - 1) * *nmax + j; z__1.r = alpha.r * ab[i__8].r - alpha.i * ab[i__8] .i, z__1.i = alpha.r * ab[i__8].i + alpha.i * ab[i__8].r; w[i__7].r = z__1.r, w[i__7].i = z__1.i; } /* L60: */ } i__6 = k << 1; i__7 = *nmax << 1; zmmch_("N", "N", &lj, &c__1, &i__6, & c_b2, &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 = f2cmax(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); if (isconj) { zprcn7_(nout, &nc, sname, iorder, uplo, trans, &n, &k, &alpha, &lda, & ldb, &rbeta, &ldc, (ftnlen)12, (ftnlen)1, (ftnlen)1); } else { zprcn5_(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, ',', F4.1, '), A,', I3, ', B,', I3, ',', F4.1, */ /* $ ', C,', I3, ') .' ) */ /* 9993 FORMAT(1X, I6, ': ', A12,'(', 2( '''', A1, ''',' ), 2( I3, ',' ), */ /* $ '(', F4.1, ',', F4.1, '), A,', I3, ', B,', I3, ',(', F4.1, */ /* $ ',', F4.1, '), C,', I3, ') .' ) */ /* End of ZCHK5. */ } /* zchk5_ */ /* Subroutine */ int zprcn5_(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; doublecomplex *alpha; integer *lda, *ldb; doublecomplex *beta; integer *ldc; ftnlen sname_len; ftnlen uplo_len; ftnlen transa_len; { /* 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 (%4.1lf,%4.1lf) , A, %d, B, %d, (%4.1lf,%4.1lf) , C, %d.\n",*n,*k,alpha->r,alpha->i,*lda,*ldb,beta->r,beta->i,*ldc); return 0; } /* zprcn5_ */ /* Subroutine */ int zprcn7_(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; doublecomplex *alpha; integer *lda, *ldb; doublereal *beta; integer *ldc; ftnlen sname_len; ftnlen uplo_len; ftnlen transa_len; { /* 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 (%4.1lf,%4.1lf), A, %d, B, %d, %4.1lf, C, %d.\n",*n,*k,alpha->r,alpha->i,*lda,*ldb,*beta,*ldc); return 0; } /* zprcn7_ */ /* Subroutine */ int zmake_(type__, uplo, diag, m, n, a, nmax, aa, lda, reset, transl, type_len, uplo_len, diag_len) char *type__, *uplo, *diag; integer *m, *n; doublecomplex *a; integer *nmax; doublecomplex *aa; integer *lda; logical *reset; doublecomplex *transl; ftnlen type_len; ftnlen uplo_len; ftnlen diag_len; { /* System generated locals */ integer a_dim1, a_offset, i__1, i__2, i__3, i__4; doublereal d__1; doublecomplex z__1, z__2; /* Local variables */ static integer ibeg, iend; extern /* Double Complex */ VOID zbeg_(); static logical unit; static integer i__, j; static logical lower, upper; static integer jj; static logical gen, her, 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', 'he', '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 .. */ /* .. Intrinsic 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; her = s_cmp(type__, "he", (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 = (her || sym || tri) && *(unsigned char *)uplo == 'U'; lower = (her || 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)) { i__3 = i__ + j * a_dim1; zbeg_(&z__2, reset); z__1.r = z__2.r + transl->r, z__1.i = z__2.i + transl->i; a[i__3].r = z__1.r, a[i__3].i = z__1.i; if (i__ != j) { /* Set some elements to zero */ if (*n > 3 && j == *n / 2) { i__3 = i__ + j * a_dim1; a[i__3].r = 0., a[i__3].i = 0.; } if (her) { i__3 = j + i__ * a_dim1; d_cnjg(&z__1, &a[i__ + j * a_dim1]); a[i__3].r = z__1.r, a[i__3].i = z__1.i; } else if (sym) { i__3 = j + i__ * a_dim1; i__4 = i__ + j * a_dim1; a[i__3].r = a[i__4].r, a[i__3].i = a[i__4].i; } else if (tri) { i__3 = j + i__ * a_dim1; a[i__3].r = 0., a[i__3].i = 0.; } } } /* L10: */ } if (her) { i__2 = j + j * a_dim1; i__3 = j + j * a_dim1; d__1 = a[i__3].r; z__1.r = d__1, z__1.i = 0.; a[i__2].r = z__1.r, a[i__2].i = z__1.i; } if (tri) { i__2 = j + j * a_dim1; i__3 = j + j * a_dim1; z__1.r = a[i__3].r + 1., z__1.i = a[i__3].i + 0.; a[i__2].r = z__1.r, a[i__2].i = z__1.i; } if (unit) { i__2 = j + j * a_dim1; a[i__2].r = 1., a[i__2].i = 0.; } /* 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__) { i__3 = i__ + (j - 1) * *lda; i__4 = i__ + j * a_dim1; aa[i__3].r = a[i__4].r, aa[i__3].i = a[i__4].i; /* L30: */ } i__2 = *lda; for (i__ = *m + 1; i__ <= i__2; ++i__) { i__3 = i__ + (j - 1) * *lda; aa[i__3].r = -1e10, aa[i__3].i = 1e10; /* L40: */ } /* L50: */ } } else if (s_cmp(type__, "he", (ftnlen)2, (ftnlen)2) == 0 || 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__) { i__3 = i__ + (j - 1) * *lda; aa[i__3].r = -1e10, aa[i__3].i = 1e10; /* L60: */ } i__2 = iend; for (i__ = ibeg; i__ <= i__2; ++i__) { i__3 = i__ + (j - 1) * *lda; i__4 = i__ + j * a_dim1; aa[i__3].r = a[i__4].r, aa[i__3].i = a[i__4].i; /* L70: */ } i__2 = *lda; for (i__ = iend + 1; i__ <= i__2; ++i__) { i__3 = i__ + (j - 1) * *lda; aa[i__3].r = -1e10, aa[i__3].i = 1e10; /* L80: */ } if (her) { jj = j + (j - 1) * *lda; i__2 = jj; i__3 = jj; d__1 = aa[i__3].r; z__1.r = d__1, z__1.i = -1e10; aa[i__2].r = z__1.r, aa[i__2].i = z__1.i; } /* L90: */ } } return 0; /* End of ZMAKE. */ } /* zmake_ */ /* Subroutine */ int zmmch_(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; doublecomplex *alpha, *a; integer *lda; doublecomplex *b; integer *ldb; doublecomplex *beta, *c__; integer *ldc; doublecomplex *ct; doublereal *g; doublecomplex *cc; integer *ldcc; doublereal *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, i__4, i__5, i__6, i__7; doublereal d__1, d__2, d__3, d__4, d__5, d__6; doublecomplex z__1, z__2, z__3, z__4; double sqrt(); /* Local variables */ static doublereal erri; static integer i__, j, k; static logical trana, tranb, ctrana, ctranb; /* 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 .. */ /* .. Statement Functions .. */ /* .. Statement Function definitions .. */ /* .. 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'; ctrana = *(unsigned char *)transa == 'C'; ctranb = *(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__) { i__3 = i__; ct[i__3].r = 0., ct[i__3].i = 0.; g[i__] = 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__) { i__4 = i__; i__5 = i__; i__6 = i__ + k * a_dim1; i__7 = k + j * b_dim1; z__2.r = a[i__6].r * b[i__7].r - a[i__6].i * b[i__7].i, z__2.i = a[i__6].r * b[i__7].i + a[i__6].i * b[ i__7].r; z__1.r = ct[i__5].r + z__2.r, z__1.i = ct[i__5].i + z__2.i; ct[i__4].r = z__1.r, ct[i__4].i = z__1.i; i__4 = i__ + k * a_dim1; i__5 = k + j * b_dim1; g[i__] += ((d__1 = a[i__4].r, abs(d__1)) + (d__2 = d_imag( &a[i__ + k * a_dim1]), abs(d__2))) * ((d__3 = b[ i__5].r, abs(d__3)) + (d__4 = d_imag(&b[k + j * b_dim1]), abs(d__4))); /* L20: */ } /* L30: */ } } else if (trana && ! tranb) { if (ctrana) { i__2 = *kk; for (k = 1; k <= i__2; ++k) { i__3 = *m; for (i__ = 1; i__ <= i__3; ++i__) { i__4 = i__; i__5 = i__; d_cnjg(&z__3, &a[k + i__ * a_dim1]); i__6 = k + j * b_dim1; z__2.r = z__3.r * b[i__6].r - z__3.i * b[i__6].i, z__2.i = z__3.r * b[i__6].i + z__3.i * b[i__6] .r; z__1.r = ct[i__5].r + z__2.r, z__1.i = ct[i__5].i + z__2.i; ct[i__4].r = z__1.r, ct[i__4].i = z__1.i; i__4 = k + i__ * a_dim1; i__5 = k + j * b_dim1; g[i__] += ((d__1 = a[i__4].r, abs(d__1)) + (d__2 = d_imag(&a[k + i__ * a_dim1]), abs(d__2))) * (( d__3 = b[i__5].r, abs(d__3)) + (d__4 = d_imag( &b[k + j * b_dim1]), abs(d__4))); /* L40: */ } /* L50: */ } } else { i__2 = *kk; for (k = 1; k <= i__2; ++k) { i__3 = *m; for (i__ = 1; i__ <= i__3; ++i__) { i__4 = i__; i__5 = i__; i__6 = k + i__ * a_dim1; i__7 = k + j * b_dim1; z__2.r = a[i__6].r * b[i__7].r - a[i__6].i * b[i__7] .i, z__2.i = a[i__6].r * b[i__7].i + a[i__6] .i * b[i__7].r; z__1.r = ct[i__5].r + z__2.r, z__1.i = ct[i__5].i + z__2.i; ct[i__4].r = z__1.r, ct[i__4].i = z__1.i; i__4 = k + i__ * a_dim1; i__5 = k + j * b_dim1; g[i__] += ((d__1 = a[i__4].r, abs(d__1)) + (d__2 = d_imag(&a[k + i__ * a_dim1]), abs(d__2))) * (( d__3 = b[i__5].r, abs(d__3)) + (d__4 = d_imag( &b[k + j * b_dim1]), abs(d__4))); /* L60: */ } /* L70: */ } } } else if (! trana && tranb) { if (ctranb) { i__2 = *kk; for (k = 1; k <= i__2; ++k) { i__3 = *m; for (i__ = 1; i__ <= i__3; ++i__) { i__4 = i__; i__5 = i__; i__6 = i__ + k * a_dim1; d_cnjg(&z__3, &b[j + k * b_dim1]); z__2.r = a[i__6].r * z__3.r - a[i__6].i * z__3.i, z__2.i = a[i__6].r * z__3.i + a[i__6].i * z__3.r; z__1.r = ct[i__5].r + z__2.r, z__1.i = ct[i__5].i + z__2.i; ct[i__4].r = z__1.r, ct[i__4].i = z__1.i; i__4 = i__ + k * a_dim1; i__5 = j + k * b_dim1; g[i__] += ((d__1 = a[i__4].r, abs(d__1)) + (d__2 = d_imag(&a[i__ + k * a_dim1]), abs(d__2))) * (( d__3 = b[i__5].r, abs(d__3)) + (d__4 = d_imag( &b[j + k * b_dim1]), abs(d__4))); /* L80: */ } /* L90: */ } } else { i__2 = *kk; for (k = 1; k <= i__2; ++k) { i__3 = *m; for (i__ = 1; i__ <= i__3; ++i__) { i__4 = i__; i__5 = i__; i__6 = i__ + k * a_dim1; i__7 = j + k * b_dim1; z__2.r = a[i__6].r * b[i__7].r - a[i__6].i * b[i__7] .i, z__2.i = a[i__6].r * b[i__7].i + a[i__6] .i * b[i__7].r; z__1.r = ct[i__5].r + z__2.r, z__1.i = ct[i__5].i + z__2.i; ct[i__4].r = z__1.r, ct[i__4].i = z__1.i; i__4 = i__ + k * a_dim1; i__5 = j + k * b_dim1; g[i__] += ((d__1 = a[i__4].r, abs(d__1)) + (d__2 = d_imag(&a[i__ + k * a_dim1]), abs(d__2))) * (( d__3 = b[i__5].r, abs(d__3)) + (d__4 = d_imag( &b[j + k * b_dim1]), abs(d__4))); /* L100: */ } /* L110: */ } } } else if (trana && tranb) { if (ctrana) { if (ctranb) { i__2 = *kk; for (k = 1; k <= i__2; ++k) { i__3 = *m; for (i__ = 1; i__ <= i__3; ++i__) { i__4 = i__; i__5 = i__; d_cnjg(&z__3, &a[k + i__ * a_dim1]); d_cnjg(&z__4, &b[j + k * b_dim1]); z__2.r = z__3.r * z__4.r - z__3.i * z__4.i, z__2.i = z__3.r * z__4.i + z__3.i * z__4.r; z__1.r = ct[i__5].r + z__2.r, z__1.i = ct[i__5].i + z__2.i; ct[i__4].r = z__1.r, ct[i__4].i = z__1.i; i__4 = k + i__ * a_dim1; i__5 = j + k * b_dim1; g[i__] += ((d__1 = a[i__4].r, abs(d__1)) + (d__2 = d_imag(&a[k + i__ * a_dim1]), abs(d__2))) * ((d__3 = b[i__5].r, abs(d__3)) + (d__4 = d_imag(&b[j + k * b_dim1]), abs(d__4))); /* L120: */ } /* L130: */ } } else { i__2 = *kk; for (k = 1; k <= i__2; ++k) { i__3 = *m; for (i__ = 1; i__ <= i__3; ++i__) { i__4 = i__; i__5 = i__; d_cnjg(&z__3, &a[k + i__ * a_dim1]); i__6 = j + k * b_dim1; z__2.r = z__3.r * b[i__6].r - z__3.i * b[i__6].i, z__2.i = z__3.r * b[i__6].i + z__3.i * b[ i__6].r; z__1.r = ct[i__5].r + z__2.r, z__1.i = ct[i__5].i + z__2.i; ct[i__4].r = z__1.r, ct[i__4].i = z__1.i; i__4 = k + i__ * a_dim1; i__5 = j + k * b_dim1; g[i__] += ((d__1 = a[i__4].r, abs(d__1)) + (d__2 = d_imag(&a[k + i__ * a_dim1]), abs(d__2))) * ((d__3 = b[i__5].r, abs(d__3)) + (d__4 = d_imag(&b[j + k * b_dim1]), abs(d__4))); /* L140: */ } /* L150: */ } } } else { if (ctranb) { i__2 = *kk; for (k = 1; k <= i__2; ++k) { i__3 = *m; for (i__ = 1; i__ <= i__3; ++i__) { i__4 = i__; i__5 = i__; i__6 = k + i__ * a_dim1; d_cnjg(&z__3, &b[j + k * b_dim1]); z__2.r = a[i__6].r * z__3.r - a[i__6].i * z__3.i, z__2.i = a[i__6].r * z__3.i + a[i__6].i * z__3.r; z__1.r = ct[i__5].r + z__2.r, z__1.i = ct[i__5].i + z__2.i; ct[i__4].r = z__1.r, ct[i__4].i = z__1.i; i__4 = k + i__ * a_dim1; i__5 = j + k * b_dim1; g[i__] += ((d__1 = a[i__4].r, abs(d__1)) + (d__2 = d_imag(&a[k + i__ * a_dim1]), abs(d__2))) * ((d__3 = b[i__5].r, abs(d__3)) + (d__4 = d_imag(&b[j + k * b_dim1]), abs(d__4))); /* L160: */ } /* L170: */ } } else { i__2 = *kk; for (k = 1; k <= i__2; ++k) { i__3 = *m; for (i__ = 1; i__ <= i__3; ++i__) { i__4 = i__; i__5 = i__; i__6 = k + i__ * a_dim1; i__7 = j + k * b_dim1; z__2.r = a[i__6].r * b[i__7].r - a[i__6].i * b[ i__7].i, z__2.i = a[i__6].r * b[i__7].i + a[i__6].i * b[i__7].r; z__1.r = ct[i__5].r + z__2.r, z__1.i = ct[i__5].i + z__2.i; ct[i__4].r = z__1.r, ct[i__4].i = z__1.i; i__4 = k + i__ * a_dim1; i__5 = j + k * b_dim1; g[i__] += ((d__1 = a[i__4].r, abs(d__1)) + (d__2 = d_imag(&a[k + i__ * a_dim1]), abs(d__2))) * ((d__3 = b[i__5].r, abs(d__3)) + (d__4 = d_imag(&b[j + k * b_dim1]), abs(d__4))); /* L180: */ } /* L190: */ } } } } i__2 = *m; for (i__ = 1; i__ <= i__2; ++i__) { i__3 = i__; i__4 = i__; z__2.r = alpha->r * ct[i__4].r - alpha->i * ct[i__4].i, z__2.i = alpha->r * ct[i__4].i + alpha->i * ct[i__4].r; i__5 = i__ + j * c_dim1; z__3.r = beta->r * c__[i__5].r - beta->i * c__[i__5].i, z__3.i = beta->r * c__[i__5].i + beta->i * c__[i__5].r; z__1.r = z__2.r + z__3.r, z__1.i = z__2.i + z__3.i; ct[i__3].r = z__1.r, ct[i__3].i = z__1.i; i__3 = i__ + j * c_dim1; g[i__] = ((d__1 = alpha->r, abs(d__1)) + (d__2 = d_imag(alpha), abs(d__2))) * g[i__] + ((d__3 = beta->r, abs(d__3)) + ( d__4 = d_imag(beta), abs(d__4))) * ((d__5 = c__[i__3].r, abs(d__5)) + (d__6 = d_imag(&c__[i__ + j * c_dim1]), abs( d__6))); /* L200: */ } /* Compute the error ratio for this result. */ *err = 0.; i__2 = *m; for (i__ = 1; i__ <= i__2; ++i__) { i__3 = i__; i__4 = i__ + j * cc_dim1; z__2.r = ct[i__3].r - cc[i__4].r, z__2.i = ct[i__3].i - cc[i__4] .i; z__1.r = z__2.r, z__1.i = z__2.i; erri = ((d__1 = z__1.r, abs(d__1)) + (d__2 = d_imag(&z__1), abs( d__2))) / *eps; if (g[i__] != 0.) { erri /= g[i__]; } *err = f2cmax(*err,erri); if (*err * sqrt(*eps) >= 1.) { goto L230; } /* L210: */ } /* L220: */ } /* If the loop completes, all results are at least half accurate. */ goto L250; /* Report fatal error. */ L230: *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) (%15.6g,%15.6g)\n",i__,ct[i__].r,ct[i__].i,cc[i__+j*cc_dim1].r,cc[i__+j*cc_dim1].i); } else { printf("%7d (%15.6g,%15.6g) (%15.6g,%15.6g)\n",i__,cc[i__+j*cc_dim1].r,cc[i__+j*cc_dim1].i,ct[i__].r,ct[i__].i); } /* L240: */ } if (*n > 1) { printf(" THESE ARE THE RESULTS FOR COLUMN %d\n",j); } L250: return 0; /* End of ZMMCH. */ } /* zmmch_ */ logical lze_(ri, rj, lr) doublecomplex *ri, *rj; integer *lr; { /* System generated locals */ integer i__1, i__2, i__3; 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__) { i__2 = i__; i__3 = i__; if (ri[i__2].r != rj[i__3].r || ri[i__2].i != rj[i__3].i) { goto L20; } /* L10: */ } ret_val = TRUE_; goto L30; L20: ret_val = FALSE_; L30: return ret_val; /* End of LZE. */ } /* lze_ */ logical lzeres_(type__, uplo, m, n, aa, as, lda, type_len, uplo_len) char *type__, *uplo; integer *m, *n; doublecomplex *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, i__3, i__4; logical ret_val; /* Local variables */ static integer ibeg, iend, i__, j; static logical upper; /* Tests if selected elements in two arrays are equal. */ /* TYPE is 'ge' or 'he' 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__) { i__3 = i__ + j * aa_dim1; i__4 = i__ + j * as_dim1; if (aa[i__3].r != as[i__4].r || aa[i__3].i != as[i__4].i) { goto L70; } /* L10: */ } /* L20: */ } } else if (s_cmp(type__, "he", (ftnlen)2, (ftnlen)2) == 0 || 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__) { i__3 = i__ + j * aa_dim1; i__4 = i__ + j * as_dim1; if (aa[i__3].r != as[i__4].r || aa[i__3].i != as[i__4].i) { goto L70; } /* L30: */ } i__2 = *lda; for (i__ = iend + 1; i__ <= i__2; ++i__) { i__3 = i__ + j * aa_dim1; i__4 = i__ + j * as_dim1; if (aa[i__3].r != as[i__4].r || aa[i__3].i != as[i__4].i) { goto L70; } /* L40: */ } /* L50: */ } } /* 60 CONTINUE */ ret_val = TRUE_; goto L80; L70: ret_val = FALSE_; L80: return ret_val; /* End of LZERES. */ } /* lzeres_ */ /* Double Complex */ VOID zbeg_( ret_val, reset) doublecomplex * ret_val; logical *reset; { /* System generated locals */ doublereal d__1, d__2; doublecomplex z__1; /* Local variables */ static integer i__, j, ic, mi, mj; /* Generates complex numbers as pairs of 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 .. */ /* .. Intrinsic Functions .. */ /* .. Executable Statements .. */ if (*reset) { /* Initialize local variables. */ mi = 891; mj = 457; i__ = 7; j = 7; ic = 0; *reset = FALSE_; } /* The sequence of values of I or J is bounded between 1 and 999. */ /* If initial I or J = 1,2,3,6,7 or 9, the period will be 50. */ /* If initial I or J = 4 or 8, the period will be 25. */ /* If initial I or J = 5, the period will be 10. */ /* IC is used to break up the period by skipping 1 value of I or J */ /* in 6. */ ++ic; L10: i__ *= mi; j *= mj; i__ -= i__ / 1000 * 1000; j -= j / 1000 * 1000; if (ic >= 5) { ic = 0; goto L10; } d__1 = (i__ - 500) / 1001.; d__2 = (j - 500) / 1001.; z__1.r = d__1, z__1.i = d__2; ret_val->r = z__1.r, ret_val->i = z__1.i; return ; /* End of ZBEG. */ } /* zbeg_ */ doublereal ddiff_(x, y) doublereal *x, *y; { /* System generated locals */ doublereal 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 DDIFF. */ } /* ddiff_ */ /* Main program alias */ /*int zblat3_ () { MAIN__ (); }*/