|
- #include <math.h>
- #include <stdlib.h>
- #include <string.h>
- #include <stdio.h>
- #include <complex.h>
- #ifdef complex
- #undef complex
- #endif
- #ifdef I
- #undef I
- #endif
-
- #if defined(_WIN64)
- typedef long long BLASLONG;
- typedef unsigned long long BLASULONG;
- #else
- typedef long BLASLONG;
- typedef unsigned long BLASULONG;
- #endif
-
- #ifdef LAPACK_ILP64
- typedef BLASLONG blasint;
- #if defined(_WIN64)
- #define blasabs(x) llabs(x)
- #else
- #define blasabs(x) labs(x)
- #endif
- #else
- typedef int blasint;
- #define blasabs(x) abs(x)
- #endif
-
- 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 blasint logical;
-
- 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]/df(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);}
- static char junk[] = "\n@(#)LIBF77 VERSION 19990503\n";
- #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++ */
-
-
- #ifdef __cplusplus
- typedef logical (*L_fp)(...);
- #else
- typedef logical (*L_fp)();
- #endif
-
- 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;
- }
- static inline void cdotc_(complex *z, integer *n_, complex *x, integer *incx_, complex *y, integer *incy_) {
- integer n = *n_, incx = *incx_, incy = *incy_, i;
- #ifdef _MSC_VER
- _Fcomplex zdotc = {0.0, 0.0};
- if (incx == 1 && incy == 1) {
- for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
- zdotc._Val[0] += conjf(Cf(&x[i]))._Val[0] * Cf(&y[i])._Val[0];
- zdotc._Val[1] += conjf(Cf(&x[i]))._Val[1] * Cf(&y[i])._Val[1];
- }
- } else {
- for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
- zdotc._Val[0] += conjf(Cf(&x[i*incx]))._Val[0] * Cf(&y[i*incy])._Val[0];
- zdotc._Val[1] += conjf(Cf(&x[i*incx]))._Val[1] * Cf(&y[i*incy])._Val[1];
- }
- }
- pCf(z) = zdotc;
- }
- #else
- _Complex float zdotc = 0.0;
- if (incx == 1 && incy == 1) {
- for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
- zdotc += conjf(Cf(&x[i])) * Cf(&y[i]);
- }
- } else {
- for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
- zdotc += conjf(Cf(&x[i*incx])) * Cf(&y[i*incy]);
- }
- }
- pCf(z) = zdotc;
- }
- #endif
- static inline void zdotc_(doublecomplex *z, integer *n_, doublecomplex *x, integer *incx_, doublecomplex *y, integer *incy_) {
- integer n = *n_, incx = *incx_, incy = *incy_, i;
- #ifdef _MSC_VER
- _Dcomplex zdotc = {0.0, 0.0};
- if (incx == 1 && incy == 1) {
- for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
- zdotc._Val[0] += conj(Cd(&x[i]))._Val[0] * Cd(&y[i])._Val[0];
- zdotc._Val[1] += conj(Cd(&x[i]))._Val[1] * Cd(&y[i])._Val[1];
- }
- } else {
- for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
- zdotc._Val[0] += conj(Cd(&x[i*incx]))._Val[0] * Cd(&y[i*incy])._Val[0];
- zdotc._Val[1] += conj(Cd(&x[i*incx]))._Val[1] * Cd(&y[i*incy])._Val[1];
- }
- }
- pCd(z) = zdotc;
- }
- #else
- _Complex double zdotc = 0.0;
- if (incx == 1 && incy == 1) {
- for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
- zdotc += conj(Cd(&x[i])) * Cd(&y[i]);
- }
- } else {
- for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
- zdotc += conj(Cd(&x[i*incx])) * Cd(&y[i*incy]);
- }
- }
- pCd(z) = zdotc;
- }
- #endif
- static inline void cdotu_(complex *z, integer *n_, complex *x, integer *incx_, complex *y, integer *incy_) {
- integer n = *n_, incx = *incx_, incy = *incy_, i;
- #ifdef _MSC_VER
- _Fcomplex zdotc = {0.0, 0.0};
- if (incx == 1 && incy == 1) {
- for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
- zdotc._Val[0] += Cf(&x[i])._Val[0] * Cf(&y[i])._Val[0];
- zdotc._Val[1] += Cf(&x[i])._Val[1] * Cf(&y[i])._Val[1];
- }
- } else {
- for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
- zdotc._Val[0] += Cf(&x[i*incx])._Val[0] * Cf(&y[i*incy])._Val[0];
- zdotc._Val[1] += Cf(&x[i*incx])._Val[1] * Cf(&y[i*incy])._Val[1];
- }
- }
- pCf(z) = zdotc;
- }
- #else
- _Complex float zdotc = 0.0;
- if (incx == 1 && incy == 1) {
- for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
- zdotc += Cf(&x[i]) * Cf(&y[i]);
- }
- } else {
- for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
- zdotc += Cf(&x[i*incx]) * Cf(&y[i*incy]);
- }
- }
- pCf(z) = zdotc;
- }
- #endif
- static inline void zdotu_(doublecomplex *z, integer *n_, doublecomplex *x, integer *incx_, doublecomplex *y, integer *incy_) {
- integer n = *n_, incx = *incx_, incy = *incy_, i;
- #ifdef _MSC_VER
- _Dcomplex zdotc = {0.0, 0.0};
- if (incx == 1 && incy == 1) {
- for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
- zdotc._Val[0] += Cd(&x[i])._Val[0] * Cd(&y[i])._Val[0];
- zdotc._Val[1] += Cd(&x[i])._Val[1] * Cd(&y[i])._Val[1];
- }
- } else {
- for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
- zdotc._Val[0] += Cd(&x[i*incx])._Val[0] * Cd(&y[i*incy])._Val[0];
- zdotc._Val[1] += Cd(&x[i*incx])._Val[1] * Cd(&y[i*incy])._Val[1];
- }
- }
- pCd(z) = zdotc;
- }
- #else
- _Complex double zdotc = 0.0;
- if (incx == 1 && incy == 1) {
- for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
- zdotc += Cd(&x[i]) * Cd(&y[i]);
- }
- } else {
- for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
- zdotc += Cd(&x[i*incx]) * Cd(&y[i*incy]);
- }
- }
- pCd(z) = zdotc;
- }
- #endif
- /* -- translated by f2c (version 20000121).
- You must link the resulting object file with the libraries:
- -lf2c -lm (in that order)
- */
-
-
-
-
- /* Table of constant values */
-
- static doublereal c_b23 = -1.;
- static doublereal c_b27 = 1.;
-
- /* > \brief \b DTFSM solves a matrix equation (one operand is a triangular matrix in RFP format). */
-
- /* =========== DOCUMENTATION =========== */
-
- /* Online html documentation available at */
- /* http://www.netlib.org/lapack/explore-html/ */
-
- /* > \htmlonly */
- /* > Download DTFSM + dependencies */
- /* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dtfsm.f
- "> */
- /* > [TGZ]</a> */
- /* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dtfsm.f
- "> */
- /* > [ZIP]</a> */
- /* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dtfsm.f
- "> */
- /* > [TXT]</a> */
- /* > \endhtmlonly */
-
- /* Definition: */
- /* =========== */
-
- /* SUBROUTINE DTFSM( TRANSR, SIDE, UPLO, TRANS, DIAG, M, N, ALPHA, A, */
- /* B, LDB ) */
-
- /* CHARACTER TRANSR, DIAG, SIDE, TRANS, UPLO */
- /* INTEGER LDB, M, N */
- /* DOUBLE PRECISION ALPHA */
- /* DOUBLE PRECISION A( 0: * ), B( 0: LDB-1, 0: * ) */
-
-
- /* > \par Purpose: */
- /* ============= */
- /* > */
- /* > \verbatim */
- /* > */
- /* > Level 3 BLAS like routine for A in RFP Format. */
- /* > */
- /* > DTFSM solves the matrix equation */
- /* > */
- /* > op( A )*X = alpha*B or X*op( A ) = alpha*B */
- /* > */
- /* > where alpha is a scalar, X and B are m by n matrices, A is a unit, or */
- /* > non-unit, upper or lower triangular matrix and op( A ) is one of */
- /* > */
- /* > op( A ) = A or op( A ) = A**T. */
- /* > */
- /* > A is in Rectangular Full Packed (RFP) Format. */
- /* > */
- /* > The matrix X is overwritten on B. */
- /* > \endverbatim */
-
- /* Arguments: */
- /* ========== */
-
- /* > \param[in] TRANSR */
- /* > \verbatim */
- /* > TRANSR is CHARACTER*1 */
- /* > = 'N': The Normal Form of RFP A is stored; */
- /* > = 'T': The Transpose Form of RFP A is stored. */
- /* > \endverbatim */
- /* > */
- /* > \param[in] SIDE */
- /* > \verbatim */
- /* > SIDE is CHARACTER*1 */
- /* > On entry, SIDE specifies whether op( A ) appears on the left */
- /* > or right of X as follows: */
- /* > */
- /* > SIDE = 'L' or 'l' op( A )*X = alpha*B. */
- /* > */
- /* > SIDE = 'R' or 'r' X*op( A ) = alpha*B. */
- /* > */
- /* > Unchanged on exit. */
- /* > \endverbatim */
- /* > */
- /* > \param[in] UPLO */
- /* > \verbatim */
- /* > UPLO is CHARACTER*1 */
- /* > On entry, UPLO specifies whether the RFP matrix A came from */
- /* > an upper or lower triangular matrix as follows: */
- /* > UPLO = 'U' or 'u' RFP A came from an upper triangular matrix */
- /* > UPLO = 'L' or 'l' RFP A came from a lower triangular matrix */
- /* > */
- /* > Unchanged on exit. */
- /* > \endverbatim */
- /* > */
- /* > \param[in] TRANS */
- /* > \verbatim */
- /* > TRANS is CHARACTER*1 */
- /* > On entry, TRANS specifies the form of op( A ) to be used */
- /* > in the matrix multiplication as follows: */
- /* > */
- /* > TRANS = 'N' or 'n' op( A ) = A. */
- /* > */
- /* > TRANS = 'T' or 't' op( A ) = A'. */
- /* > */
- /* > Unchanged on exit. */
- /* > \endverbatim */
- /* > */
- /* > \param[in] DIAG */
- /* > \verbatim */
- /* > DIAG is CHARACTER*1 */
- /* > On entry, DIAG specifies whether or not RFP A is unit */
- /* > triangular as follows: */
- /* > */
- /* > DIAG = 'U' or 'u' A is assumed to be unit triangular. */
- /* > */
- /* > DIAG = 'N' or 'n' A is not assumed to be unit */
- /* > triangular. */
- /* > */
- /* > Unchanged on exit. */
- /* > \endverbatim */
- /* > */
- /* > \param[in] M */
- /* > \verbatim */
- /* > M is INTEGER */
- /* > On entry, M specifies the number of rows of B. M must be at */
- /* > least zero. */
- /* > Unchanged on exit. */
- /* > \endverbatim */
- /* > */
- /* > \param[in] N */
- /* > \verbatim */
- /* > N is INTEGER */
- /* > On entry, N specifies the number of columns of B. N must be */
- /* > at least zero. */
- /* > Unchanged on exit. */
- /* > \endverbatim */
- /* > */
- /* > \param[in] ALPHA */
- /* > \verbatim */
- /* > ALPHA is DOUBLE PRECISION */
- /* > On entry, ALPHA specifies the scalar alpha. When alpha is */
- /* > zero then A is not referenced and B need not be set before */
- /* > entry. */
- /* > Unchanged on exit. */
- /* > \endverbatim */
- /* > */
- /* > \param[in] A */
- /* > \verbatim */
- /* > A is DOUBLE PRECISION array, dimension (NT) */
- /* > NT = N*(N+1)/2. On entry, the matrix A in RFP Format. */
- /* > RFP Format is described by TRANSR, UPLO and N as follows: */
- /* > If TRANSR='N' then RFP A is (0:N,0:K-1) when N is even; */
- /* > K=N/2. RFP A is (0:N-1,0:K) when N is odd; K=N/2. If */
- /* > TRANSR = 'T' then RFP is the transpose of RFP A as */
- /* > defined when TRANSR = 'N'. The contents of RFP A are defined */
- /* > by UPLO as follows: If UPLO = 'U' the RFP A contains the NT */
- /* > elements of upper packed A either in normal or */
- /* > transpose Format. If UPLO = 'L' the RFP A contains */
- /* > the NT elements of lower packed A either in normal or */
- /* > transpose Format. The LDA of RFP A is (N+1)/2 when */
- /* > TRANSR = 'T'. When TRANSR is 'N' the LDA is N+1 when N is */
- /* > even and is N when is odd. */
- /* > See the Note below for more details. Unchanged on exit. */
- /* > \endverbatim */
- /* > */
- /* > \param[in,out] B */
- /* > \verbatim */
- /* > B is DOUBLE PRECISION array, dimension (LDB,N) */
- /* > Before entry, the leading m by n part of the array B must */
- /* > contain the right-hand side matrix B, and on exit is */
- /* > overwritten by the solution matrix X. */
- /* > \endverbatim */
- /* > */
- /* > \param[in] LDB */
- /* > \verbatim */
- /* > LDB is INTEGER */
- /* > On entry, LDB specifies the first dimension of B as declared */
- /* > in the calling (sub) program. LDB must be at least */
- /* > f2cmax( 1, m ). */
- /* > Unchanged on exit. */
- /* > \endverbatim */
-
- /* Authors: */
- /* ======== */
-
- /* > \author Univ. of Tennessee */
- /* > \author Univ. of California Berkeley */
- /* > \author Univ. of Colorado Denver */
- /* > \author NAG Ltd. */
-
- /* > \date December 2016 */
-
- /* > \ingroup doubleOTHERcomputational */
-
- /* > \par Further Details: */
- /* ===================== */
- /* > */
- /* > \verbatim */
- /* > */
- /* > We first consider Rectangular Full Packed (RFP) Format when N is */
- /* > even. We give an example where N = 6. */
- /* > */
- /* > AP is Upper AP is Lower */
- /* > */
- /* > 00 01 02 03 04 05 00 */
- /* > 11 12 13 14 15 10 11 */
- /* > 22 23 24 25 20 21 22 */
- /* > 33 34 35 30 31 32 33 */
- /* > 44 45 40 41 42 43 44 */
- /* > 55 50 51 52 53 54 55 */
- /* > */
- /* > */
- /* > Let TRANSR = 'N'. RFP holds AP as follows: */
- /* > For UPLO = 'U' the upper trapezoid A(0:5,0:2) consists of the last */
- /* > three columns of AP upper. The lower triangle A(4:6,0:2) consists of */
- /* > the transpose of the first three columns of AP upper. */
- /* > For UPLO = 'L' the lower trapezoid A(1:6,0:2) consists of the first */
- /* > three columns of AP lower. The upper triangle A(0:2,0:2) consists of */
- /* > the transpose of the last three columns of AP lower. */
- /* > This covers the case N even and TRANSR = 'N'. */
- /* > */
- /* > RFP A RFP A */
- /* > */
- /* > 03 04 05 33 43 53 */
- /* > 13 14 15 00 44 54 */
- /* > 23 24 25 10 11 55 */
- /* > 33 34 35 20 21 22 */
- /* > 00 44 45 30 31 32 */
- /* > 01 11 55 40 41 42 */
- /* > 02 12 22 50 51 52 */
- /* > */
- /* > Now let TRANSR = 'T'. RFP A in both UPLO cases is just the */
- /* > transpose of RFP A above. One therefore gets: */
- /* > */
- /* > */
- /* > RFP A RFP A */
- /* > */
- /* > 03 13 23 33 00 01 02 33 00 10 20 30 40 50 */
- /* > 04 14 24 34 44 11 12 43 44 11 21 31 41 51 */
- /* > 05 15 25 35 45 55 22 53 54 55 22 32 42 52 */
- /* > */
- /* > */
- /* > We then consider Rectangular Full Packed (RFP) Format when N is */
- /* > odd. We give an example where N = 5. */
- /* > */
- /* > AP is Upper AP is Lower */
- /* > */
- /* > 00 01 02 03 04 00 */
- /* > 11 12 13 14 10 11 */
- /* > 22 23 24 20 21 22 */
- /* > 33 34 30 31 32 33 */
- /* > 44 40 41 42 43 44 */
- /* > */
- /* > */
- /* > Let TRANSR = 'N'. RFP holds AP as follows: */
- /* > For UPLO = 'U' the upper trapezoid A(0:4,0:2) consists of the last */
- /* > three columns of AP upper. The lower triangle A(3:4,0:1) consists of */
- /* > the transpose of the first two columns of AP upper. */
- /* > For UPLO = 'L' the lower trapezoid A(0:4,0:2) consists of the first */
- /* > three columns of AP lower. The upper triangle A(0:1,1:2) consists of */
- /* > the transpose of the last two columns of AP lower. */
- /* > This covers the case N odd and TRANSR = 'N'. */
- /* > */
- /* > RFP A RFP A */
- /* > */
- /* > 02 03 04 00 33 43 */
- /* > 12 13 14 10 11 44 */
- /* > 22 23 24 20 21 22 */
- /* > 00 33 34 30 31 32 */
- /* > 01 11 44 40 41 42 */
- /* > */
- /* > Now let TRANSR = 'T'. RFP A in both UPLO cases is just the */
- /* > transpose of RFP A above. One therefore gets: */
- /* > */
- /* > RFP A RFP A */
- /* > */
- /* > 02 12 22 00 01 00 10 20 30 40 50 */
- /* > 03 13 23 33 11 33 11 21 31 41 51 */
- /* > 04 14 24 34 44 43 44 22 32 42 52 */
- /* > \endverbatim */
-
- /* ===================================================================== */
- /* Subroutine */ void dtfsm_(char *transr, char *side, char *uplo, char *trans,
- char *diag, integer *m, integer *n, doublereal *alpha, doublereal *a,
- doublereal *b, integer *ldb)
- {
- /* System generated locals */
- integer b_dim1, b_offset, i__1, i__2;
-
- /* Local variables */
- integer info, i__, j, k;
- logical normaltransr;
- extern /* Subroutine */ void dgemm_(char *, char *, integer *, integer *,
- integer *, doublereal *, doublereal *, integer *, doublereal *,
- integer *, doublereal *, doublereal *, integer *);
- logical lside;
- extern logical lsame_(char *, char *);
- logical lower;
- extern /* Subroutine */ void dtrsm_(char *, char *, char *, char *,
- integer *, integer *, doublereal *, doublereal *, integer *,
- doublereal *, integer *);
- integer m1, m2, n1, n2;
- extern /* Subroutine */ int xerbla_(char *, integer *, ftnlen);
- logical misodd, nisodd, notrans;
-
-
- /* -- LAPACK computational routine (version 3.7.0) -- */
- /* -- LAPACK is a software package provided by Univ. of Tennessee, -- */
- /* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- */
- /* December 2016 */
-
-
- /* ===================================================================== */
-
-
- /* Test the input parameters. */
-
- /* Parameter adjustments */
- b_dim1 = *ldb - 1 - 0 + 1;
- b_offset = 0 + b_dim1 * 0;
- b -= b_offset;
-
- /* Function Body */
- info = 0;
- normaltransr = lsame_(transr, "N");
- lside = lsame_(side, "L");
- lower = lsame_(uplo, "L");
- notrans = lsame_(trans, "N");
- if (! normaltransr && ! lsame_(transr, "T")) {
- info = -1;
- } else if (! lside && ! lsame_(side, "R")) {
- info = -2;
- } else if (! lower && ! lsame_(uplo, "U")) {
- info = -3;
- } else if (! notrans && ! lsame_(trans, "T")) {
- info = -4;
- } else if (! lsame_(diag, "N") && ! lsame_(diag,
- "U")) {
- info = -5;
- } else if (*m < 0) {
- info = -6;
- } else if (*n < 0) {
- info = -7;
- } else if (*ldb < f2cmax(1,*m)) {
- info = -11;
- }
- if (info != 0) {
- i__1 = -info;
- xerbla_("DTFSM ", &i__1, (ftnlen)6);
- return;
- }
-
- /* Quick return when ( (N.EQ.0).OR.(M.EQ.0) ) */
-
- if (*m == 0 || *n == 0) {
- return;
- }
-
- /* Quick return when ALPHA.EQ.(0D+0) */
-
- if (*alpha == 0.) {
- i__1 = *n - 1;
- for (j = 0; j <= i__1; ++j) {
- i__2 = *m - 1;
- for (i__ = 0; i__ <= i__2; ++i__) {
- b[i__ + j * b_dim1] = 0.;
- /* L10: */
- }
- /* L20: */
- }
- return;
- }
-
- if (lside) {
-
- /* SIDE = 'L' */
-
- /* A is M-by-M. */
- /* If M is odd, set NISODD = .TRUE., and M1 and M2. */
- /* If M is even, NISODD = .FALSE., and M. */
-
- if (*m % 2 == 0) {
- misodd = FALSE_;
- k = *m / 2;
- } else {
- misodd = TRUE_;
- if (lower) {
- m2 = *m / 2;
- m1 = *m - m2;
- } else {
- m1 = *m / 2;
- m2 = *m - m1;
- }
- }
-
-
- if (misodd) {
-
- /* SIDE = 'L' and N is odd */
-
- if (normaltransr) {
-
- /* SIDE = 'L', N is odd, and TRANSR = 'N' */
-
- if (lower) {
-
- /* SIDE ='L', N is odd, TRANSR = 'N', and UPLO = 'L' */
-
- if (notrans) {
-
- /* SIDE ='L', N is odd, TRANSR = 'N', UPLO = 'L', and */
- /* TRANS = 'N' */
-
- if (*m == 1) {
- dtrsm_("L", "L", "N", diag, &m1, n, alpha, a, m, &
- b[b_offset], ldb);
- } else {
- dtrsm_("L", "L", "N", diag, &m1, n, alpha, a, m, &
- b[b_offset], ldb);
- dgemm_("N", "N", &m2, n, &m1, &c_b23, &a[m1], m, &
- b[b_offset], ldb, alpha, &b[m1], ldb);
- dtrsm_("L", "U", "T", diag, &m2, n, &c_b27, &a[*m]
- , m, &b[m1], ldb);
- }
-
- } else {
-
- /* SIDE ='L', N is odd, TRANSR = 'N', UPLO = 'L', and */
- /* TRANS = 'T' */
-
- if (*m == 1) {
- dtrsm_("L", "L", "T", diag, &m1, n, alpha, a, m, &
- b[b_offset], ldb);
- } else {
- dtrsm_("L", "U", "N", diag, &m2, n, alpha, &a[*m],
- m, &b[m1], ldb);
- dgemm_("T", "N", &m1, n, &m2, &c_b23, &a[m1], m, &
- b[m1], ldb, alpha, &b[b_offset], ldb);
- dtrsm_("L", "L", "T", diag, &m1, n, &c_b27, a, m,
- &b[b_offset], ldb);
- }
-
- }
-
- } else {
-
- /* SIDE ='L', N is odd, TRANSR = 'N', and UPLO = 'U' */
-
- if (! notrans) {
-
- /* SIDE ='L', N is odd, TRANSR = 'N', UPLO = 'U', and */
- /* TRANS = 'N' */
-
- dtrsm_("L", "L", "N", diag, &m1, n, alpha, &a[m2], m,
- &b[b_offset], ldb);
- dgemm_("T", "N", &m2, n, &m1, &c_b23, a, m, &b[
- b_offset], ldb, alpha, &b[m1], ldb);
- dtrsm_("L", "U", "T", diag, &m2, n, &c_b27, &a[m1], m,
- &b[m1], ldb);
-
- } else {
-
- /* SIDE ='L', N is odd, TRANSR = 'N', UPLO = 'U', and */
- /* TRANS = 'T' */
-
- dtrsm_("L", "U", "N", diag, &m2, n, alpha, &a[m1], m,
- &b[m1], ldb);
- dgemm_("N", "N", &m1, n, &m2, &c_b23, a, m, &b[m1],
- ldb, alpha, &b[b_offset], ldb);
- dtrsm_("L", "L", "T", diag, &m1, n, &c_b27, &a[m2], m,
- &b[b_offset], ldb);
-
- }
-
- }
-
- } else {
-
- /* SIDE = 'L', N is odd, and TRANSR = 'T' */
-
- if (lower) {
-
- /* SIDE ='L', N is odd, TRANSR = 'T', and UPLO = 'L' */
-
- if (notrans) {
-
- /* SIDE ='L', N is odd, TRANSR = 'T', UPLO = 'L', and */
- /* TRANS = 'N' */
-
- if (*m == 1) {
- dtrsm_("L", "U", "T", diag, &m1, n, alpha, a, &m1,
- &b[b_offset], ldb);
- } else {
- dtrsm_("L", "U", "T", diag, &m1, n, alpha, a, &m1,
- &b[b_offset], ldb);
- dgemm_("T", "N", &m2, n, &m1, &c_b23, &a[m1 * m1],
- &m1, &b[b_offset], ldb, alpha, &b[m1],
- ldb);
- dtrsm_("L", "L", "N", diag, &m2, n, &c_b27, &a[1],
- &m1, &b[m1], ldb);
- }
-
- } else {
-
- /* SIDE ='L', N is odd, TRANSR = 'T', UPLO = 'L', and */
- /* TRANS = 'T' */
-
- if (*m == 1) {
- dtrsm_("L", "U", "N", diag, &m1, n, alpha, a, &m1,
- &b[b_offset], ldb);
- } else {
- dtrsm_("L", "L", "T", diag, &m2, n, alpha, &a[1],
- &m1, &b[m1], ldb);
- dgemm_("N", "N", &m1, n, &m2, &c_b23, &a[m1 * m1],
- &m1, &b[m1], ldb, alpha, &b[b_offset],
- ldb);
- dtrsm_("L", "U", "N", diag, &m1, n, &c_b27, a, &
- m1, &b[b_offset], ldb);
- }
-
- }
-
- } else {
-
- /* SIDE ='L', N is odd, TRANSR = 'T', and UPLO = 'U' */
-
- if (! notrans) {
-
- /* SIDE ='L', N is odd, TRANSR = 'T', UPLO = 'U', and */
- /* TRANS = 'N' */
-
- dtrsm_("L", "U", "T", diag, &m1, n, alpha, &a[m2 * m2]
- , &m2, &b[b_offset], ldb);
- dgemm_("N", "N", &m2, n, &m1, &c_b23, a, &m2, &b[
- b_offset], ldb, alpha, &b[m1], ldb);
- dtrsm_("L", "L", "N", diag, &m2, n, &c_b27, &a[m1 *
- m2], &m2, &b[m1], ldb);
-
- } else {
-
- /* SIDE ='L', N is odd, TRANSR = 'T', UPLO = 'U', and */
- /* TRANS = 'T' */
-
- dtrsm_("L", "L", "T", diag, &m2, n, alpha, &a[m1 * m2]
- , &m2, &b[m1], ldb);
- dgemm_("T", "N", &m1, n, &m2, &c_b23, a, &m2, &b[m1],
- ldb, alpha, &b[b_offset], ldb);
- dtrsm_("L", "U", "N", diag, &m1, n, &c_b27, &a[m2 *
- m2], &m2, &b[b_offset], ldb);
-
- }
-
- }
-
- }
-
- } else {
-
- /* SIDE = 'L' and N is even */
-
- if (normaltransr) {
-
- /* SIDE = 'L', N is even, and TRANSR = 'N' */
-
- if (lower) {
-
- /* SIDE ='L', N is even, TRANSR = 'N', and UPLO = 'L' */
-
- if (notrans) {
-
- /* SIDE ='L', N is even, TRANSR = 'N', UPLO = 'L', */
- /* and TRANS = 'N' */
-
- i__1 = *m + 1;
- dtrsm_("L", "L", "N", diag, &k, n, alpha, &a[1], &
- i__1, &b[b_offset], ldb);
- i__1 = *m + 1;
- dgemm_("N", "N", &k, n, &k, &c_b23, &a[k + 1], &i__1,
- &b[b_offset], ldb, alpha, &b[k], ldb);
- i__1 = *m + 1;
- dtrsm_("L", "U", "T", diag, &k, n, &c_b27, a, &i__1, &
- b[k], ldb);
-
- } else {
-
- /* SIDE ='L', N is even, TRANSR = 'N', UPLO = 'L', */
- /* and TRANS = 'T' */
-
- i__1 = *m + 1;
- dtrsm_("L", "U", "N", diag, &k, n, alpha, a, &i__1, &
- b[k], ldb);
- i__1 = *m + 1;
- dgemm_("T", "N", &k, n, &k, &c_b23, &a[k + 1], &i__1,
- &b[k], ldb, alpha, &b[b_offset], ldb);
- i__1 = *m + 1;
- dtrsm_("L", "L", "T", diag, &k, n, &c_b27, &a[1], &
- i__1, &b[b_offset], ldb);
-
- }
-
- } else {
-
- /* SIDE ='L', N is even, TRANSR = 'N', and UPLO = 'U' */
-
- if (! notrans) {
-
- /* SIDE ='L', N is even, TRANSR = 'N', UPLO = 'U', */
- /* and TRANS = 'N' */
-
- i__1 = *m + 1;
- dtrsm_("L", "L", "N", diag, &k, n, alpha, &a[k + 1], &
- i__1, &b[b_offset], ldb);
- i__1 = *m + 1;
- dgemm_("T", "N", &k, n, &k, &c_b23, a, &i__1, &b[
- b_offset], ldb, alpha, &b[k], ldb);
- i__1 = *m + 1;
- dtrsm_("L", "U", "T", diag, &k, n, &c_b27, &a[k], &
- i__1, &b[k], ldb);
-
- } else {
-
- /* SIDE ='L', N is even, TRANSR = 'N', UPLO = 'U', */
- /* and TRANS = 'T' */
- i__1 = *m + 1;
- dtrsm_("L", "U", "N", diag, &k, n, alpha, &a[k], &
- i__1, &b[k], ldb);
- i__1 = *m + 1;
- dgemm_("N", "N", &k, n, &k, &c_b23, a, &i__1, &b[k],
- ldb, alpha, &b[b_offset], ldb);
- i__1 = *m + 1;
- dtrsm_("L", "L", "T", diag, &k, n, &c_b27, &a[k + 1],
- &i__1, &b[b_offset], ldb);
-
- }
-
- }
-
- } else {
-
- /* SIDE = 'L', N is even, and TRANSR = 'T' */
-
- if (lower) {
-
- /* SIDE ='L', N is even, TRANSR = 'T', and UPLO = 'L' */
-
- if (notrans) {
-
- /* SIDE ='L', N is even, TRANSR = 'T', UPLO = 'L', */
- /* and TRANS = 'N' */
-
- dtrsm_("L", "U", "T", diag, &k, n, alpha, &a[k], &k, &
- b[b_offset], ldb);
- dgemm_("T", "N", &k, n, &k, &c_b23, &a[k * (k + 1)], &
- k, &b[b_offset], ldb, alpha, &b[k], ldb);
- dtrsm_("L", "L", "N", diag, &k, n, &c_b27, a, &k, &b[
- k], ldb);
-
- } else {
-
- /* SIDE ='L', N is even, TRANSR = 'T', UPLO = 'L', */
- /* and TRANS = 'T' */
-
- dtrsm_("L", "L", "T", diag, &k, n, alpha, a, &k, &b[k]
- , ldb);
- dgemm_("N", "N", &k, n, &k, &c_b23, &a[k * (k + 1)], &
- k, &b[k], ldb, alpha, &b[b_offset], ldb);
- dtrsm_("L", "U", "N", diag, &k, n, &c_b27, &a[k], &k,
- &b[b_offset], ldb);
-
- }
-
- } else {
-
- /* SIDE ='L', N is even, TRANSR = 'T', and UPLO = 'U' */
-
- if (! notrans) {
-
- /* SIDE ='L', N is even, TRANSR = 'T', UPLO = 'U', */
- /* and TRANS = 'N' */
-
- dtrsm_("L", "U", "T", diag, &k, n, alpha, &a[k * (k +
- 1)], &k, &b[b_offset], ldb);
- dgemm_("N", "N", &k, n, &k, &c_b23, a, &k, &b[
- b_offset], ldb, alpha, &b[k], ldb);
- dtrsm_("L", "L", "N", diag, &k, n, &c_b27, &a[k * k],
- &k, &b[k], ldb);
-
- } else {
-
- /* SIDE ='L', N is even, TRANSR = 'T', UPLO = 'U', */
- /* and TRANS = 'T' */
-
- dtrsm_("L", "L", "T", diag, &k, n, alpha, &a[k * k], &
- k, &b[k], ldb);
- dgemm_("T", "N", &k, n, &k, &c_b23, a, &k, &b[k], ldb,
- alpha, &b[b_offset], ldb);
- dtrsm_("L", "U", "N", diag, &k, n, &c_b27, &a[k * (k
- + 1)], &k, &b[b_offset], ldb);
-
- }
-
- }
-
- }
-
- }
-
- } else {
-
- /* SIDE = 'R' */
-
- /* A is N-by-N. */
- /* If N is odd, set NISODD = .TRUE., and N1 and N2. */
- /* If N is even, NISODD = .FALSE., and K. */
-
- if (*n % 2 == 0) {
- nisodd = FALSE_;
- k = *n / 2;
- } else {
- nisodd = TRUE_;
- if (lower) {
- n2 = *n / 2;
- n1 = *n - n2;
- } else {
- n1 = *n / 2;
- n2 = *n - n1;
- }
- }
-
- if (nisodd) {
-
- /* SIDE = 'R' and N is odd */
-
- if (normaltransr) {
-
- /* SIDE = 'R', N is odd, and TRANSR = 'N' */
-
- if (lower) {
-
- /* SIDE ='R', N is odd, TRANSR = 'N', and UPLO = 'L' */
-
- if (notrans) {
-
- /* SIDE ='R', N is odd, TRANSR = 'N', UPLO = 'L', and */
- /* TRANS = 'N' */
-
- dtrsm_("R", "U", "T", diag, m, &n2, alpha, &a[*n], n,
- &b[n1 * b_dim1], ldb);
- dgemm_("N", "N", m, &n1, &n2, &c_b23, &b[n1 * b_dim1],
- ldb, &a[n1], n, alpha, b, ldb);
- dtrsm_("R", "L", "N", diag, m, &n1, &c_b27, a, n, b,
- ldb);
-
- } else {
-
- /* SIDE ='R', N is odd, TRANSR = 'N', UPLO = 'L', and */
- /* TRANS = 'T' */
-
- dtrsm_("R", "L", "T", diag, m, &n1, alpha, a, n, b,
- ldb);
- dgemm_("N", "T", m, &n2, &n1, &c_b23, b, ldb, &a[n1],
- n, alpha, &b[n1 * b_dim1], ldb);
- dtrsm_("R", "U", "N", diag, m, &n2, &c_b27, &a[*n], n,
- &b[n1 * b_dim1], ldb);
-
- }
-
- } else {
-
- /* SIDE ='R', N is odd, TRANSR = 'N', and UPLO = 'U' */
-
- if (notrans) {
-
- /* SIDE ='R', N is odd, TRANSR = 'N', UPLO = 'U', and */
- /* TRANS = 'N' */
-
- dtrsm_("R", "L", "T", diag, m, &n1, alpha, &a[n2], n,
- b, ldb);
- dgemm_("N", "N", m, &n2, &n1, &c_b23, b, ldb, a, n,
- alpha, &b[n1 * b_dim1], ldb);
- dtrsm_("R", "U", "N", diag, m, &n2, &c_b27, &a[n1], n,
- &b[n1 * b_dim1], ldb);
-
- } else {
-
- /* SIDE ='R', N is odd, TRANSR = 'N', UPLO = 'U', and */
- /* TRANS = 'T' */
-
- dtrsm_("R", "U", "T", diag, m, &n2, alpha, &a[n1], n,
- &b[n1 * b_dim1], ldb);
- dgemm_("N", "T", m, &n1, &n2, &c_b23, &b[n1 * b_dim1],
- ldb, a, n, alpha, b, ldb);
- dtrsm_("R", "L", "N", diag, m, &n1, &c_b27, &a[n2], n,
- b, ldb);
-
- }
-
- }
-
- } else {
-
- /* SIDE = 'R', N is odd, and TRANSR = 'T' */
-
- if (lower) {
-
- /* SIDE ='R', N is odd, TRANSR = 'T', and UPLO = 'L' */
-
- if (notrans) {
-
- /* SIDE ='R', N is odd, TRANSR = 'T', UPLO = 'L', and */
- /* TRANS = 'N' */
-
- dtrsm_("R", "L", "N", diag, m, &n2, alpha, &a[1], &n1,
- &b[n1 * b_dim1], ldb);
- dgemm_("N", "T", m, &n1, &n2, &c_b23, &b[n1 * b_dim1],
- ldb, &a[n1 * n1], &n1, alpha, b, ldb);
- dtrsm_("R", "U", "T", diag, m, &n1, &c_b27, a, &n1, b,
- ldb);
-
- } else {
-
- /* SIDE ='R', N is odd, TRANSR = 'T', UPLO = 'L', and */
- /* TRANS = 'T' */
-
- dtrsm_("R", "U", "N", diag, m, &n1, alpha, a, &n1, b,
- ldb);
- dgemm_("N", "N", m, &n2, &n1, &c_b23, b, ldb, &a[n1 *
- n1], &n1, alpha, &b[n1 * b_dim1], ldb);
- dtrsm_("R", "L", "T", diag, m, &n2, &c_b27, &a[1], &
- n1, &b[n1 * b_dim1], ldb);
-
- }
-
- } else {
-
- /* SIDE ='R', N is odd, TRANSR = 'T', and UPLO = 'U' */
-
- if (notrans) {
-
- /* SIDE ='R', N is odd, TRANSR = 'T', UPLO = 'U', and */
- /* TRANS = 'N' */
-
- dtrsm_("R", "U", "N", diag, m, &n1, alpha, &a[n2 * n2]
- , &n2, b, ldb);
- dgemm_("N", "T", m, &n2, &n1, &c_b23, b, ldb, a, &n2,
- alpha, &b[n1 * b_dim1], ldb);
- dtrsm_("R", "L", "T", diag, m, &n2, &c_b27, &a[n1 *
- n2], &n2, &b[n1 * b_dim1], ldb);
-
- } else {
-
- /* SIDE ='R', N is odd, TRANSR = 'T', UPLO = 'U', and */
- /* TRANS = 'T' */
-
- dtrsm_("R", "L", "N", diag, m, &n2, alpha, &a[n1 * n2]
- , &n2, &b[n1 * b_dim1], ldb);
- dgemm_("N", "N", m, &n1, &n2, &c_b23, &b[n1 * b_dim1],
- ldb, a, &n2, alpha, b, ldb);
- dtrsm_("R", "U", "T", diag, m, &n1, &c_b27, &a[n2 *
- n2], &n2, b, ldb);
-
- }
-
- }
-
- }
-
- } else {
-
- /* SIDE = 'R' and N is even */
-
- if (normaltransr) {
-
- /* SIDE = 'R', N is even, and TRANSR = 'N' */
-
- if (lower) {
-
- /* SIDE ='R', N is even, TRANSR = 'N', and UPLO = 'L' */
-
- if (notrans) {
-
- /* SIDE ='R', N is even, TRANSR = 'N', UPLO = 'L', */
- /* and TRANS = 'N' */
-
- i__1 = *n + 1;
- dtrsm_("R", "U", "T", diag, m, &k, alpha, a, &i__1, &
- b[k * b_dim1], ldb);
- i__1 = *n + 1;
- dgemm_("N", "N", m, &k, &k, &c_b23, &b[k * b_dim1],
- ldb, &a[k + 1], &i__1, alpha, b, ldb);
- i__1 = *n + 1;
- dtrsm_("R", "L", "N", diag, m, &k, &c_b27, &a[1], &
- i__1, b, ldb);
-
- } else {
-
- /* SIDE ='R', N is even, TRANSR = 'N', UPLO = 'L', */
- /* and TRANS = 'T' */
-
- i__1 = *n + 1;
- dtrsm_("R", "L", "T", diag, m, &k, alpha, &a[1], &
- i__1, b, ldb);
- i__1 = *n + 1;
- dgemm_("N", "T", m, &k, &k, &c_b23, b, ldb, &a[k + 1],
- &i__1, alpha, &b[k * b_dim1], ldb);
- i__1 = *n + 1;
- dtrsm_("R", "U", "N", diag, m, &k, &c_b27, a, &i__1, &
- b[k * b_dim1], ldb);
-
- }
-
- } else {
-
- /* SIDE ='R', N is even, TRANSR = 'N', and UPLO = 'U' */
-
- if (notrans) {
-
- /* SIDE ='R', N is even, TRANSR = 'N', UPLO = 'U', */
- /* and TRANS = 'N' */
-
- i__1 = *n + 1;
- dtrsm_("R", "L", "T", diag, m, &k, alpha, &a[k + 1], &
- i__1, b, ldb);
- i__1 = *n + 1;
- dgemm_("N", "N", m, &k, &k, &c_b23, b, ldb, a, &i__1,
- alpha, &b[k * b_dim1], ldb);
- i__1 = *n + 1;
- dtrsm_("R", "U", "N", diag, m, &k, &c_b27, &a[k], &
- i__1, &b[k * b_dim1], ldb);
-
- } else {
-
- /* SIDE ='R', N is even, TRANSR = 'N', UPLO = 'U', */
- /* and TRANS = 'T' */
-
- i__1 = *n + 1;
- dtrsm_("R", "U", "T", diag, m, &k, alpha, &a[k], &
- i__1, &b[k * b_dim1], ldb);
- i__1 = *n + 1;
- dgemm_("N", "T", m, &k, &k, &c_b23, &b[k * b_dim1],
- ldb, a, &i__1, alpha, b, ldb);
- i__1 = *n + 1;
- dtrsm_("R", "L", "N", diag, m, &k, &c_b27, &a[k + 1],
- &i__1, b, ldb);
-
- }
-
- }
-
- } else {
-
- /* SIDE = 'R', N is even, and TRANSR = 'T' */
-
- if (lower) {
-
- /* SIDE ='R', N is even, TRANSR = 'T', and UPLO = 'L' */
-
- if (notrans) {
-
- /* SIDE ='R', N is even, TRANSR = 'T', UPLO = 'L', */
- /* and TRANS = 'N' */
-
- dtrsm_("R", "L", "N", diag, m, &k, alpha, a, &k, &b[k
- * b_dim1], ldb);
- dgemm_("N", "T", m, &k, &k, &c_b23, &b[k * b_dim1],
- ldb, &a[(k + 1) * k], &k, alpha, b, ldb);
- dtrsm_("R", "U", "T", diag, m, &k, &c_b27, &a[k], &k,
- b, ldb);
-
- } else {
-
- /* SIDE ='R', N is even, TRANSR = 'T', UPLO = 'L', */
- /* and TRANS = 'T' */
-
- dtrsm_("R", "U", "N", diag, m, &k, alpha, &a[k], &k,
- b, ldb);
- dgemm_("N", "N", m, &k, &k, &c_b23, b, ldb, &a[(k + 1)
- * k], &k, alpha, &b[k * b_dim1], ldb);
- dtrsm_("R", "L", "T", diag, m, &k, &c_b27, a, &k, &b[
- k * b_dim1], ldb);
-
- }
-
- } else {
-
- /* SIDE ='R', N is even, TRANSR = 'T', and UPLO = 'U' */
-
- if (notrans) {
-
- /* SIDE ='R', N is even, TRANSR = 'T', UPLO = 'U', */
- /* and TRANS = 'N' */
-
- dtrsm_("R", "U", "N", diag, m, &k, alpha, &a[(k + 1) *
- k], &k, b, ldb);
- dgemm_("N", "T", m, &k, &k, &c_b23, b, ldb, a, &k,
- alpha, &b[k * b_dim1], ldb);
- dtrsm_("R", "L", "T", diag, m, &k, &c_b27, &a[k * k],
- &k, &b[k * b_dim1], ldb);
-
- } else {
-
- /* SIDE ='R', N is even, TRANSR = 'T', UPLO = 'U', */
- /* and TRANS = 'T' */
-
- dtrsm_("R", "L", "N", diag, m, &k, alpha, &a[k * k], &
- k, &b[k * b_dim1], ldb);
- dgemm_("N", "N", m, &k, &k, &c_b23, &b[k * b_dim1],
- ldb, a, &k, alpha, b, ldb);
- dtrsm_("R", "U", "T", diag, m, &k, &c_b27, &a[(k + 1)
- * k], &k, b, ldb);
-
- }
-
- }
-
- }
-
- }
- }
-
- return;
-
- /* End of DTFSM */
-
- } /* dtfsm_ */
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