1618 lines
47 KiB
C
1618 lines
47 KiB
C
#include <math.h>
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#include <stdlib.h>
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#include <string.h>
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#include <stdio.h>
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#include <complex.h>
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#ifdef complex
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#undef complex
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#endif
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#ifdef I
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#undef I
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#endif
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#if defined(_WIN64)
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typedef long long BLASLONG;
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typedef unsigned long long BLASULONG;
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#else
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typedef long BLASLONG;
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typedef unsigned long BLASULONG;
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#endif
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#ifdef LAPACK_ILP64
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typedef BLASLONG blasint;
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#if defined(_WIN64)
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#define blasabs(x) llabs(x)
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#else
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#define blasabs(x) labs(x)
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#endif
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#else
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typedef int blasint;
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#define blasabs(x) abs(x)
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#endif
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typedef blasint integer;
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typedef unsigned int uinteger;
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typedef char *address;
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typedef short int shortint;
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typedef float real;
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typedef double doublereal;
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typedef struct { real r, i; } complex;
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typedef struct { doublereal r, i; } doublecomplex;
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#ifdef _MSC_VER
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static inline _Fcomplex Cf(complex *z) {_Fcomplex zz={z->r , z->i}; return zz;}
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static inline _Dcomplex Cd(doublecomplex *z) {_Dcomplex zz={z->r , z->i};return zz;}
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static inline _Fcomplex * _pCf(complex *z) {return (_Fcomplex*)z;}
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static inline _Dcomplex * _pCd(doublecomplex *z) {return (_Dcomplex*)z;}
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#else
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static inline _Complex float Cf(complex *z) {return z->r + z->i*_Complex_I;}
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static inline _Complex double Cd(doublecomplex *z) {return z->r + z->i*_Complex_I;}
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static inline _Complex float * _pCf(complex *z) {return (_Complex float*)z;}
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static inline _Complex double * _pCd(doublecomplex *z) {return (_Complex double*)z;}
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#endif
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#define pCf(z) (*_pCf(z))
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#define pCd(z) (*_pCd(z))
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typedef int logical;
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typedef short int shortlogical;
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typedef char logical1;
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typedef char integer1;
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#define TRUE_ (1)
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#define FALSE_ (0)
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/* Extern is for use with -E */
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#ifndef Extern
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#define Extern extern
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#endif
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/* I/O stuff */
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typedef int flag;
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typedef int ftnlen;
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typedef int ftnint;
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/*external read, write*/
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typedef struct
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{ flag cierr;
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ftnint ciunit;
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flag ciend;
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char *cifmt;
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ftnint cirec;
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} cilist;
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/*internal read, write*/
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typedef struct
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{ flag icierr;
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char *iciunit;
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flag iciend;
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char *icifmt;
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ftnint icirlen;
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ftnint icirnum;
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} icilist;
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/*open*/
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typedef struct
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{ flag oerr;
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ftnint ounit;
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char *ofnm;
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ftnlen ofnmlen;
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char *osta;
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char *oacc;
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char *ofm;
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ftnint orl;
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char *oblnk;
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} olist;
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/*close*/
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typedef struct
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{ flag cerr;
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ftnint cunit;
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char *csta;
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} cllist;
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/*rewind, backspace, endfile*/
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typedef struct
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{ flag aerr;
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ftnint aunit;
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} alist;
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/* inquire */
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typedef struct
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{ flag inerr;
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ftnint inunit;
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char *infile;
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ftnlen infilen;
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ftnint *inex; /*parameters in standard's order*/
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ftnint *inopen;
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ftnint *innum;
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ftnint *innamed;
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char *inname;
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ftnlen innamlen;
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char *inacc;
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ftnlen inacclen;
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char *inseq;
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ftnlen inseqlen;
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char *indir;
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ftnlen indirlen;
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char *infmt;
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ftnlen infmtlen;
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char *inform;
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ftnint informlen;
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char *inunf;
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ftnlen inunflen;
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ftnint *inrecl;
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ftnint *innrec;
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char *inblank;
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ftnlen inblanklen;
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} inlist;
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#define VOID void
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union Multitype { /* for multiple entry points */
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integer1 g;
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shortint h;
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integer i;
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/* longint j; */
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real r;
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doublereal d;
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complex c;
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doublecomplex z;
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};
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typedef union Multitype Multitype;
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struct Vardesc { /* for Namelist */
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char *name;
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char *addr;
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ftnlen *dims;
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int type;
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};
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typedef struct Vardesc Vardesc;
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struct Namelist {
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char *name;
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Vardesc **vars;
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int nvars;
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};
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typedef struct Namelist Namelist;
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#define abs(x) ((x) >= 0 ? (x) : -(x))
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#define dabs(x) (fabs(x))
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#define f2cmin(a,b) ((a) <= (b) ? (a) : (b))
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#define f2cmax(a,b) ((a) >= (b) ? (a) : (b))
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#define dmin(a,b) (f2cmin(a,b))
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#define dmax(a,b) (f2cmax(a,b))
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#define bit_test(a,b) ((a) >> (b) & 1)
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#define bit_clear(a,b) ((a) & ~((uinteger)1 << (b)))
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#define bit_set(a,b) ((a) | ((uinteger)1 << (b)))
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#define abort_() { sig_die("Fortran abort routine called", 1); }
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#define c_abs(z) (cabsf(Cf(z)))
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#define c_cos(R,Z) { pCf(R)=ccos(Cf(Z)); }
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#ifdef _MSC_VER
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#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]);}
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#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]);}
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#else
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#define c_div(c, a, b) {pCf(c) = Cf(a)/Cf(b);}
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#define z_div(c, a, b) {pCd(c) = Cd(a)/Cd(b);}
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#endif
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#define c_exp(R, Z) {pCf(R) = cexpf(Cf(Z));}
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#define c_log(R, Z) {pCf(R) = clogf(Cf(Z));}
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#define c_sin(R, Z) {pCf(R) = csinf(Cf(Z));}
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//#define c_sqrt(R, Z) {*(R) = csqrtf(Cf(Z));}
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#define c_sqrt(R, Z) {pCf(R) = csqrtf(Cf(Z));}
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#define d_abs(x) (fabs(*(x)))
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#define d_acos(x) (acos(*(x)))
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#define d_asin(x) (asin(*(x)))
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#define d_atan(x) (atan(*(x)))
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#define d_atn2(x, y) (atan2(*(x),*(y)))
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#define d_cnjg(R, Z) { pCd(R) = conj(Cd(Z)); }
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#define r_cnjg(R, Z) { pCf(R) = conjf(Cf(Z)); }
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#define d_cos(x) (cos(*(x)))
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#define d_cosh(x) (cosh(*(x)))
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#define d_dim(__a, __b) ( *(__a) > *(__b) ? *(__a) - *(__b) : 0.0 )
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#define d_exp(x) (exp(*(x)))
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#define d_imag(z) (cimag(Cd(z)))
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#define r_imag(z) (cimagf(Cf(z)))
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#define d_int(__x) (*(__x)>0 ? floor(*(__x)) : -floor(- *(__x)))
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#define r_int(__x) (*(__x)>0 ? floor(*(__x)) : -floor(- *(__x)))
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#define d_lg10(x) ( 0.43429448190325182765 * log(*(x)) )
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#define r_lg10(x) ( 0.43429448190325182765 * log(*(x)) )
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#define d_log(x) (log(*(x)))
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#define d_mod(x, y) (fmod(*(x), *(y)))
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#define u_nint(__x) ((__x)>=0 ? floor((__x) + .5) : -floor(.5 - (__x)))
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#define d_nint(x) u_nint(*(x))
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#define u_sign(__a,__b) ((__b) >= 0 ? ((__a) >= 0 ? (__a) : -(__a)) : -((__a) >= 0 ? (__a) : -(__a)))
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#define d_sign(a,b) u_sign(*(a),*(b))
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#define r_sign(a,b) u_sign(*(a),*(b))
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#define d_sin(x) (sin(*(x)))
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#define d_sinh(x) (sinh(*(x)))
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#define d_sqrt(x) (sqrt(*(x)))
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#define d_tan(x) (tan(*(x)))
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#define d_tanh(x) (tanh(*(x)))
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#define i_abs(x) abs(*(x))
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#define i_dnnt(x) ((integer)u_nint(*(x)))
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#define i_len(s, n) (n)
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#define i_nint(x) ((integer)u_nint(*(x)))
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#define i_sign(a,b) ((integer)u_sign((integer)*(a),(integer)*(b)))
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#define pow_dd(ap, bp) ( pow(*(ap), *(bp)))
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#define pow_si(B,E) spow_ui(*(B),*(E))
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#define pow_ri(B,E) spow_ui(*(B),*(E))
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#define pow_di(B,E) dpow_ui(*(B),*(E))
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#define pow_zi(p, a, b) {pCd(p) = zpow_ui(Cd(a), *(b));}
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#define pow_ci(p, a, b) {pCf(p) = cpow_ui(Cf(a), *(b));}
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#define pow_zz(R,A,B) {pCd(R) = cpow(Cd(A),*(B));}
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#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++ = ' '; }
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#define s_cmp(a,b,c,d) ((integer)strncmp((a),(b),f2cmin((c),(d))))
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#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]; }
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#define sig_die(s, kill) { exit(1); }
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#define s_stop(s, n) {exit(0);}
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static char junk[] = "\n@(#)LIBF77 VERSION 19990503\n";
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#define z_abs(z) (cabs(Cd(z)))
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#define z_exp(R, Z) {pCd(R) = cexp(Cd(Z));}
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#define z_sqrt(R, Z) {pCd(R) = csqrt(Cd(Z));}
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#define myexit_() break;
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#define mycycle_() continue;
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#define myceiling_(w) {ceil(w)}
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#define myhuge_(w) {HUGE_VAL}
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//#define mymaxloc_(w,s,e,n) {if (sizeof(*(w)) == sizeof(double)) dmaxloc_((w),*(s),*(e),n); else dmaxloc_((w),*(s),*(e),n);}
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#define mymaxloc_(w,s,e,n) {dmaxloc_(w,*(s),*(e),n)}
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/* procedure parameter types for -A and -C++ */
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#define F2C_proc_par_types 1
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#ifdef __cplusplus
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typedef logical (*L_fp)(...);
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#else
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typedef logical (*L_fp)();
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#endif
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static float spow_ui(float x, integer n) {
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float pow=1.0; unsigned long int u;
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if(n != 0) {
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if(n < 0) n = -n, x = 1/x;
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for(u = n; ; ) {
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if(u & 01) pow *= x;
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if(u >>= 1) x *= x;
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else break;
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}
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}
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return pow;
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}
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static double dpow_ui(double x, integer n) {
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double pow=1.0; unsigned long int u;
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if(n != 0) {
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if(n < 0) n = -n, x = 1/x;
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for(u = n; ; ) {
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if(u & 01) pow *= x;
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if(u >>= 1) x *= x;
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else break;
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}
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}
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return pow;
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}
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#ifdef _MSC_VER
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static _Fcomplex cpow_ui(complex x, integer n) {
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complex pow={1.0,0.0}; unsigned long int u;
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if(n != 0) {
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if(n < 0) n = -n, x.r = 1/x.r, x.i=1/x.i;
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for(u = n; ; ) {
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if(u & 01) pow.r *= x.r, pow.i *= x.i;
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if(u >>= 1) x.r *= x.r, x.i *= x.i;
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else break;
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}
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}
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_Fcomplex p={pow.r, pow.i};
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return p;
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}
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#else
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static _Complex float cpow_ui(_Complex float x, integer n) {
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_Complex float pow=1.0; unsigned long int u;
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if(n != 0) {
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if(n < 0) n = -n, x = 1/x;
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for(u = n; ; ) {
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if(u & 01) pow *= x;
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if(u >>= 1) x *= x;
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else break;
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}
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}
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return pow;
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}
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#endif
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#ifdef _MSC_VER
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static _Dcomplex zpow_ui(_Dcomplex x, integer n) {
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_Dcomplex pow={1.0,0.0}; unsigned long int u;
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if(n != 0) {
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if(n < 0) n = -n, x._Val[0] = 1/x._Val[0], x._Val[1] =1/x._Val[1];
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for(u = n; ; ) {
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if(u & 01) pow._Val[0] *= x._Val[0], pow._Val[1] *= x._Val[1];
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if(u >>= 1) x._Val[0] *= x._Val[0], x._Val[1] *= x._Val[1];
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else break;
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}
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}
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_Dcomplex p = {pow._Val[0], pow._Val[1]};
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return p;
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}
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#else
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static _Complex double zpow_ui(_Complex double x, integer n) {
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_Complex double pow=1.0; unsigned long int u;
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if(n != 0) {
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if(n < 0) n = -n, x = 1/x;
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for(u = n; ; ) {
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if(u & 01) pow *= x;
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if(u >>= 1) x *= x;
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else break;
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}
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}
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return pow;
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}
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#endif
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static integer pow_ii(integer x, integer n) {
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integer pow; unsigned long int u;
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if (n <= 0) {
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if (n == 0 || x == 1) pow = 1;
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else if (x != -1) pow = x == 0 ? 1/x : 0;
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else n = -n;
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}
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if ((n > 0) || !(n == 0 || x == 1 || x != -1)) {
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u = n;
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for(pow = 1; ; ) {
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if(u & 01) pow *= x;
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if(u >>= 1) x *= x;
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else break;
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}
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}
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return pow;
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}
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static integer dmaxloc_(double *w, integer s, integer e, integer *n)
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{
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double m; integer i, mi;
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for(m=w[s-1], mi=s, i=s+1; i<=e; i++)
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if (w[i-1]>m) mi=i ,m=w[i-1];
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return mi-s+1;
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}
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static integer smaxloc_(float *w, integer s, integer e, integer *n)
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{
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float m; integer i, mi;
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for(m=w[s-1], mi=s, i=s+1; i<=e; i++)
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if (w[i-1]>m) mi=i ,m=w[i-1];
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return mi-s+1;
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}
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static inline void cdotc_(complex *z, integer *n_, complex *x, integer *incx_, complex *y, integer *incy_) {
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integer n = *n_, incx = *incx_, incy = *incy_, i;
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#ifdef _MSC_VER
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_Fcomplex zdotc = {0.0, 0.0};
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if (incx == 1 && incy == 1) {
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for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
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zdotc._Val[0] += conjf(Cf(&x[i]))._Val[0] * Cf(&y[i])._Val[0];
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zdotc._Val[1] += conjf(Cf(&x[i]))._Val[1] * Cf(&y[i])._Val[1];
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}
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} else {
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for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
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zdotc._Val[0] += conjf(Cf(&x[i*incx]))._Val[0] * Cf(&y[i*incy])._Val[0];
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zdotc._Val[1] += conjf(Cf(&x[i*incx]))._Val[1] * Cf(&y[i*incy])._Val[1];
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}
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}
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pCf(z) = zdotc;
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}
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#else
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_Complex float zdotc = 0.0;
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if (incx == 1 && incy == 1) {
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for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
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zdotc += conjf(Cf(&x[i])) * Cf(&y[i]);
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}
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} else {
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for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
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zdotc += conjf(Cf(&x[i*incx])) * Cf(&y[i*incy]);
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}
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}
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pCf(z) = zdotc;
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}
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#endif
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static inline void zdotc_(doublecomplex *z, integer *n_, doublecomplex *x, integer *incx_, doublecomplex *y, integer *incy_) {
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integer n = *n_, incx = *incx_, incy = *incy_, i;
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#ifdef _MSC_VER
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_Dcomplex zdotc = {0.0, 0.0};
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if (incx == 1 && incy == 1) {
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for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
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zdotc._Val[0] += conj(Cd(&x[i]))._Val[0] * Cd(&y[i])._Val[0];
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zdotc._Val[1] += conj(Cd(&x[i]))._Val[1] * Cd(&y[i])._Val[1];
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}
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} 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 doublecomplex c_b14 = {1.,0.};
|
|
static doublecomplex c_b22 = {0.,0.};
|
|
static doublecomplex c_b29 = {-1.,0.};
|
|
|
|
/* > \brief \b ZTPRFB applies a real or complex "triangular-pentagonal" blocked reflector to a real or complex
|
|
matrix, which is composed of two blocks. */
|
|
|
|
/* =========== DOCUMENTATION =========== */
|
|
|
|
/* Online html documentation available at */
|
|
/* http://www.netlib.org/lapack/explore-html/ */
|
|
|
|
/* > \htmlonly */
|
|
/* > Download ZTPRFB + dependencies */
|
|
/* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/ztprfb.
|
|
f"> */
|
|
/* > [TGZ]</a> */
|
|
/* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/ztprfb.
|
|
f"> */
|
|
/* > [ZIP]</a> */
|
|
/* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/ztprfb.
|
|
f"> */
|
|
/* > [TXT]</a> */
|
|
/* > \endhtmlonly */
|
|
|
|
/* Definition: */
|
|
/* =========== */
|
|
|
|
/* SUBROUTINE ZTPRFB( SIDE, TRANS, DIRECT, STOREV, M, N, K, L, */
|
|
/* V, LDV, T, LDT, A, LDA, B, LDB, WORK, LDWORK ) */
|
|
|
|
/* CHARACTER DIRECT, SIDE, STOREV, TRANS */
|
|
/* INTEGER K, L, LDA, LDB, LDT, LDV, LDWORK, M, N */
|
|
/* COMPLEX*16 A( LDA, * ), B( LDB, * ), T( LDT, * ), */
|
|
/* $ V( LDV, * ), WORK( LDWORK, * ) */
|
|
|
|
|
|
/* > \par Purpose: */
|
|
/* ============= */
|
|
/* > */
|
|
/* > \verbatim */
|
|
/* > */
|
|
/* > ZTPRFB applies a complex "triangular-pentagonal" block reflector H or its */
|
|
/* > conjugate transpose H**H to a complex matrix C, which is composed of two */
|
|
/* > blocks A and B, either from the left or right. */
|
|
/* > */
|
|
/* > \endverbatim */
|
|
|
|
/* Arguments: */
|
|
/* ========== */
|
|
|
|
/* > \param[in] SIDE */
|
|
/* > \verbatim */
|
|
/* > SIDE is CHARACTER*1 */
|
|
/* > = 'L': apply H or H**H from the Left */
|
|
/* > = 'R': apply H or H**H from the Right */
|
|
/* > \endverbatim */
|
|
/* > */
|
|
/* > \param[in] TRANS */
|
|
/* > \verbatim */
|
|
/* > TRANS is CHARACTER*1 */
|
|
/* > = 'N': apply H (No transpose) */
|
|
/* > = 'C': apply H**H (Conjugate transpose) */
|
|
/* > \endverbatim */
|
|
/* > */
|
|
/* > \param[in] DIRECT */
|
|
/* > \verbatim */
|
|
/* > DIRECT is CHARACTER*1 */
|
|
/* > Indicates how H is formed from a product of elementary */
|
|
/* > reflectors */
|
|
/* > = 'F': H = H(1) H(2) . . . H(k) (Forward) */
|
|
/* > = 'B': H = H(k) . . . H(2) H(1) (Backward) */
|
|
/* > \endverbatim */
|
|
/* > */
|
|
/* > \param[in] STOREV */
|
|
/* > \verbatim */
|
|
/* > STOREV is CHARACTER*1 */
|
|
/* > Indicates how the vectors which define the elementary */
|
|
/* > reflectors are stored: */
|
|
/* > = 'C': Columns */
|
|
/* > = 'R': Rows */
|
|
/* > \endverbatim */
|
|
/* > */
|
|
/* > \param[in] M */
|
|
/* > \verbatim */
|
|
/* > M is INTEGER */
|
|
/* > The number of rows of the matrix B. */
|
|
/* > M >= 0. */
|
|
/* > \endverbatim */
|
|
/* > */
|
|
/* > \param[in] N */
|
|
/* > \verbatim */
|
|
/* > N is INTEGER */
|
|
/* > The number of columns of the matrix B. */
|
|
/* > N >= 0. */
|
|
/* > \endverbatim */
|
|
/* > */
|
|
/* > \param[in] K */
|
|
/* > \verbatim */
|
|
/* > K is INTEGER */
|
|
/* > The order of the matrix T, i.e. the number of elementary */
|
|
/* > reflectors whose product defines the block reflector. */
|
|
/* > K >= 0. */
|
|
/* > \endverbatim */
|
|
/* > */
|
|
/* > \param[in] L */
|
|
/* > \verbatim */
|
|
/* > L is INTEGER */
|
|
/* > The order of the trapezoidal part of V. */
|
|
/* > K >= L >= 0. See Further Details. */
|
|
/* > \endverbatim */
|
|
/* > */
|
|
/* > \param[in] V */
|
|
/* > \verbatim */
|
|
/* > V is COMPLEX*16 array, dimension */
|
|
/* > (LDV,K) if STOREV = 'C' */
|
|
/* > (LDV,M) if STOREV = 'R' and SIDE = 'L' */
|
|
/* > (LDV,N) if STOREV = 'R' and SIDE = 'R' */
|
|
/* > The pentagonal matrix V, which contains the elementary reflectors */
|
|
/* > H(1), H(2), ..., H(K). See Further Details. */
|
|
/* > \endverbatim */
|
|
/* > */
|
|
/* > \param[in] LDV */
|
|
/* > \verbatim */
|
|
/* > LDV is INTEGER */
|
|
/* > The leading dimension of the array V. */
|
|
/* > If STOREV = 'C' and SIDE = 'L', LDV >= f2cmax(1,M); */
|
|
/* > if STOREV = 'C' and SIDE = 'R', LDV >= f2cmax(1,N); */
|
|
/* > if STOREV = 'R', LDV >= K. */
|
|
/* > \endverbatim */
|
|
/* > */
|
|
/* > \param[in] T */
|
|
/* > \verbatim */
|
|
/* > T is COMPLEX*16 array, dimension (LDT,K) */
|
|
/* > The triangular K-by-K matrix T in the representation of the */
|
|
/* > block reflector. */
|
|
/* > \endverbatim */
|
|
/* > */
|
|
/* > \param[in] LDT */
|
|
/* > \verbatim */
|
|
/* > LDT is INTEGER */
|
|
/* > The leading dimension of the array T. */
|
|
/* > LDT >= K. */
|
|
/* > \endverbatim */
|
|
/* > */
|
|
/* > \param[in,out] A */
|
|
/* > \verbatim */
|
|
/* > A is COMPLEX*16 array, dimension */
|
|
/* > (LDA,N) if SIDE = 'L' or (LDA,K) if SIDE = 'R' */
|
|
/* > On entry, the K-by-N or M-by-K matrix A. */
|
|
/* > On exit, A is overwritten by the corresponding block of */
|
|
/* > H*C or H**H*C or C*H or C*H**H. See Further Details. */
|
|
/* > \endverbatim */
|
|
/* > */
|
|
/* > \param[in] LDA */
|
|
/* > \verbatim */
|
|
/* > LDA is INTEGER */
|
|
/* > The leading dimension of the array A. */
|
|
/* > If SIDE = 'L', LDA >= f2cmax(1,K); */
|
|
/* > If SIDE = 'R', LDA >= f2cmax(1,M). */
|
|
/* > \endverbatim */
|
|
/* > */
|
|
/* > \param[in,out] B */
|
|
/* > \verbatim */
|
|
/* > B is COMPLEX*16 array, dimension (LDB,N) */
|
|
/* > On entry, the M-by-N matrix B. */
|
|
/* > On exit, B is overwritten by the corresponding block of */
|
|
/* > H*C or H**H*C or C*H or C*H**H. See Further Details. */
|
|
/* > \endverbatim */
|
|
/* > */
|
|
/* > \param[in] LDB */
|
|
/* > \verbatim */
|
|
/* > LDB is INTEGER */
|
|
/* > The leading dimension of the array B. */
|
|
/* > LDB >= f2cmax(1,M). */
|
|
/* > \endverbatim */
|
|
/* > */
|
|
/* > \param[out] WORK */
|
|
/* > \verbatim */
|
|
/* > WORK is COMPLEX*16 array, dimension */
|
|
/* > (LDWORK,N) if SIDE = 'L', */
|
|
/* > (LDWORK,K) if SIDE = 'R'. */
|
|
/* > \endverbatim */
|
|
/* > */
|
|
/* > \param[in] LDWORK */
|
|
/* > \verbatim */
|
|
/* > LDWORK is INTEGER */
|
|
/* > The leading dimension of the array WORK. */
|
|
/* > If SIDE = 'L', LDWORK >= K; */
|
|
/* > if SIDE = 'R', LDWORK >= M. */
|
|
/* > \endverbatim */
|
|
|
|
/* Authors: */
|
|
/* ======== */
|
|
|
|
/* > \author Univ. of Tennessee */
|
|
/* > \author Univ. of California Berkeley */
|
|
/* > \author Univ. of Colorado Denver */
|
|
/* > \author NAG Ltd. */
|
|
|
|
/* > \date December 2016 */
|
|
|
|
/* > \ingroup complex16OTHERauxiliary */
|
|
|
|
/* > \par Further Details: */
|
|
/* ===================== */
|
|
/* > */
|
|
/* > \verbatim */
|
|
/* > */
|
|
/* > The matrix C is a composite matrix formed from blocks A and B. */
|
|
/* > The block B is of size M-by-N; if SIDE = 'R', A is of size M-by-K, */
|
|
/* > and if SIDE = 'L', A is of size K-by-N. */
|
|
/* > */
|
|
/* > If SIDE = 'R' and DIRECT = 'F', C = [A B]. */
|
|
/* > */
|
|
/* > If SIDE = 'L' and DIRECT = 'F', C = [A] */
|
|
/* > [B]. */
|
|
/* > */
|
|
/* > If SIDE = 'R' and DIRECT = 'B', C = [B A]. */
|
|
/* > */
|
|
/* > If SIDE = 'L' and DIRECT = 'B', C = [B] */
|
|
/* > [A]. */
|
|
/* > */
|
|
/* > The pentagonal matrix V is composed of a rectangular block V1 and a */
|
|
/* > trapezoidal block V2. The size of the trapezoidal block is determined by */
|
|
/* > the parameter L, where 0<=L<=K. If L=K, the V2 block of V is triangular; */
|
|
/* > if L=0, there is no trapezoidal block, thus V = V1 is rectangular. */
|
|
/* > */
|
|
/* > If DIRECT = 'F' and STOREV = 'C': V = [V1] */
|
|
/* > [V2] */
|
|
/* > - V2 is upper trapezoidal (first L rows of K-by-K upper triangular) */
|
|
/* > */
|
|
/* > If DIRECT = 'F' and STOREV = 'R': V = [V1 V2] */
|
|
/* > */
|
|
/* > - V2 is lower trapezoidal (first L columns of K-by-K lower triangular) */
|
|
/* > */
|
|
/* > If DIRECT = 'B' and STOREV = 'C': V = [V2] */
|
|
/* > [V1] */
|
|
/* > - V2 is lower trapezoidal (last L rows of K-by-K lower triangular) */
|
|
/* > */
|
|
/* > If DIRECT = 'B' and STOREV = 'R': V = [V2 V1] */
|
|
/* > */
|
|
/* > - V2 is upper trapezoidal (last L columns of K-by-K upper triangular) */
|
|
/* > */
|
|
/* > If STOREV = 'C' and SIDE = 'L', V is M-by-K with V2 L-by-K. */
|
|
/* > */
|
|
/* > If STOREV = 'C' and SIDE = 'R', V is N-by-K with V2 L-by-K. */
|
|
/* > */
|
|
/* > If STOREV = 'R' and SIDE = 'L', V is K-by-M with V2 K-by-L. */
|
|
/* > */
|
|
/* > If STOREV = 'R' and SIDE = 'R', V is K-by-N with V2 K-by-L. */
|
|
/* > \endverbatim */
|
|
/* > */
|
|
/* ===================================================================== */
|
|
/* Subroutine */ void ztprfb_(char *side, char *trans, char *direct, char *
|
|
storev, integer *m, integer *n, integer *k, integer *l, doublecomplex
|
|
*v, integer *ldv, doublecomplex *t, integer *ldt, doublecomplex *a,
|
|
integer *lda, doublecomplex *b, integer *ldb, doublecomplex *work,
|
|
integer *ldwork)
|
|
{
|
|
/* System generated locals */
|
|
integer a_dim1, a_offset, b_dim1, b_offset, t_dim1, t_offset, v_dim1,
|
|
v_offset, work_dim1, work_offset, i__1, i__2, i__3, i__4, i__5;
|
|
doublecomplex z__1;
|
|
|
|
/* Local variables */
|
|
logical left, backward;
|
|
integer i__, j;
|
|
extern logical lsame_(char *, char *);
|
|
logical right;
|
|
extern /* Subroutine */ void zgemm_(char *, char *, integer *, integer *,
|
|
integer *, doublecomplex *, doublecomplex *, integer *,
|
|
doublecomplex *, integer *, doublecomplex *, doublecomplex *,
|
|
integer *), ztrmm_(char *, char *, char *, char *,
|
|
integer *, integer *, doublecomplex *, doublecomplex *, integer *
|
|
, doublecomplex *, integer *);
|
|
integer kp, mp, np;
|
|
logical column, row, forward;
|
|
|
|
|
|
/* -- LAPACK auxiliary 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 */
|
|
|
|
|
|
/* ========================================================================== */
|
|
|
|
|
|
/* Quick return if possible */
|
|
|
|
/* Parameter adjustments */
|
|
v_dim1 = *ldv;
|
|
v_offset = 1 + v_dim1 * 1;
|
|
v -= v_offset;
|
|
t_dim1 = *ldt;
|
|
t_offset = 1 + t_dim1 * 1;
|
|
t -= t_offset;
|
|
a_dim1 = *lda;
|
|
a_offset = 1 + a_dim1 * 1;
|
|
a -= a_offset;
|
|
b_dim1 = *ldb;
|
|
b_offset = 1 + b_dim1 * 1;
|
|
b -= b_offset;
|
|
work_dim1 = *ldwork;
|
|
work_offset = 1 + work_dim1 * 1;
|
|
work -= work_offset;
|
|
|
|
/* Function Body */
|
|
if (*m <= 0 || *n <= 0 || *k <= 0 || *l < 0) {
|
|
return;
|
|
}
|
|
|
|
if (lsame_(storev, "C")) {
|
|
column = TRUE_;
|
|
row = FALSE_;
|
|
} else if (lsame_(storev, "R")) {
|
|
column = FALSE_;
|
|
row = TRUE_;
|
|
} else {
|
|
column = FALSE_;
|
|
row = FALSE_;
|
|
}
|
|
|
|
if (lsame_(side, "L")) {
|
|
left = TRUE_;
|
|
right = FALSE_;
|
|
} else if (lsame_(side, "R")) {
|
|
left = FALSE_;
|
|
right = TRUE_;
|
|
} else {
|
|
left = FALSE_;
|
|
right = FALSE_;
|
|
}
|
|
|
|
if (lsame_(direct, "F")) {
|
|
forward = TRUE_;
|
|
backward = FALSE_;
|
|
} else if (lsame_(direct, "B")) {
|
|
forward = FALSE_;
|
|
backward = TRUE_;
|
|
} else {
|
|
forward = FALSE_;
|
|
backward = FALSE_;
|
|
}
|
|
|
|
/* --------------------------------------------------------------------------- */
|
|
|
|
if (column && forward && left) {
|
|
|
|
/* --------------------------------------------------------------------------- */
|
|
|
|
/* Let W = [ I ] (K-by-K) */
|
|
/* [ V ] (M-by-K) */
|
|
|
|
/* Form H C or H**H C where C = [ A ] (K-by-N) */
|
|
/* [ B ] (M-by-N) */
|
|
|
|
/* H = I - W T W**H or H**H = I - W T**H W**H */
|
|
|
|
/* A = A - T (A + V**H B) or A = A - T**H (A + V**H B) */
|
|
/* B = B - V T (A + V**H B) or B = B - V T**H (A + V**H B) */
|
|
|
|
/* --------------------------------------------------------------------------- */
|
|
|
|
/* Computing MIN */
|
|
i__1 = *m - *l + 1;
|
|
mp = f2cmin(i__1,*m);
|
|
/* Computing MIN */
|
|
i__1 = *l + 1;
|
|
kp = f2cmin(i__1,*k);
|
|
|
|
i__1 = *n;
|
|
for (j = 1; j <= i__1; ++j) {
|
|
i__2 = *l;
|
|
for (i__ = 1; i__ <= i__2; ++i__) {
|
|
i__3 = i__ + j * work_dim1;
|
|
i__4 = *m - *l + i__ + j * b_dim1;
|
|
work[i__3].r = b[i__4].r, work[i__3].i = b[i__4].i;
|
|
}
|
|
}
|
|
ztrmm_("L", "U", "C", "N", l, n, &c_b14, &v[mp + v_dim1], ldv, &work[
|
|
work_offset], ldwork);
|
|
i__1 = *m - *l;
|
|
zgemm_("C", "N", l, n, &i__1, &c_b14, &v[v_offset], ldv, &b[b_offset],
|
|
ldb, &c_b14, &work[work_offset], ldwork);
|
|
i__1 = *k - *l;
|
|
zgemm_("C", "N", &i__1, n, m, &c_b14, &v[kp * v_dim1 + 1], ldv, &b[
|
|
b_offset], ldb, &c_b22, &work[kp + work_dim1], ldwork);
|
|
|
|
i__1 = *n;
|
|
for (j = 1; j <= i__1; ++j) {
|
|
i__2 = *k;
|
|
for (i__ = 1; i__ <= i__2; ++i__) {
|
|
i__3 = i__ + j * work_dim1;
|
|
i__4 = i__ + j * work_dim1;
|
|
i__5 = i__ + j * a_dim1;
|
|
z__1.r = work[i__4].r + a[i__5].r, z__1.i = work[i__4].i + a[
|
|
i__5].i;
|
|
work[i__3].r = z__1.r, work[i__3].i = z__1.i;
|
|
}
|
|
}
|
|
|
|
ztrmm_("L", "U", trans, "N", k, n, &c_b14, &t[t_offset], ldt, &work[
|
|
work_offset], ldwork);
|
|
|
|
i__1 = *n;
|
|
for (j = 1; j <= i__1; ++j) {
|
|
i__2 = *k;
|
|
for (i__ = 1; i__ <= i__2; ++i__) {
|
|
i__3 = i__ + j * a_dim1;
|
|
i__4 = i__ + j * a_dim1;
|
|
i__5 = i__ + j * work_dim1;
|
|
z__1.r = a[i__4].r - work[i__5].r, z__1.i = a[i__4].i - work[
|
|
i__5].i;
|
|
a[i__3].r = z__1.r, a[i__3].i = z__1.i;
|
|
}
|
|
}
|
|
|
|
i__1 = *m - *l;
|
|
zgemm_("N", "N", &i__1, n, k, &c_b29, &v[v_offset], ldv, &work[
|
|
work_offset], ldwork, &c_b14, &b[b_offset], ldb);
|
|
i__1 = *k - *l;
|
|
zgemm_("N", "N", l, n, &i__1, &c_b29, &v[mp + kp * v_dim1], ldv, &
|
|
work[kp + work_dim1], ldwork, &c_b14, &b[mp + b_dim1], ldb);
|
|
ztrmm_("L", "U", "N", "N", l, n, &c_b14, &v[mp + v_dim1], ldv, &work[
|
|
work_offset], ldwork);
|
|
i__1 = *n;
|
|
for (j = 1; j <= i__1; ++j) {
|
|
i__2 = *l;
|
|
for (i__ = 1; i__ <= i__2; ++i__) {
|
|
i__3 = *m - *l + i__ + j * b_dim1;
|
|
i__4 = *m - *l + i__ + j * b_dim1;
|
|
i__5 = i__ + j * work_dim1;
|
|
z__1.r = b[i__4].r - work[i__5].r, z__1.i = b[i__4].i - work[
|
|
i__5].i;
|
|
b[i__3].r = z__1.r, b[i__3].i = z__1.i;
|
|
}
|
|
}
|
|
|
|
/* --------------------------------------------------------------------------- */
|
|
|
|
} else if (column && forward && right) {
|
|
|
|
/* --------------------------------------------------------------------------- */
|
|
|
|
/* Let W = [ I ] (K-by-K) */
|
|
/* [ V ] (N-by-K) */
|
|
|
|
/* Form C H or C H**H where C = [ A B ] (A is M-by-K, B is M-by-N) */
|
|
|
|
/* H = I - W T W**H or H**H = I - W T**H W**H */
|
|
|
|
/* A = A - (A + B V) T or A = A - (A + B V) T**H */
|
|
/* B = B - (A + B V) T V**H or B = B - (A + B V) T**H V**H */
|
|
|
|
/* --------------------------------------------------------------------------- */
|
|
|
|
/* Computing MIN */
|
|
i__1 = *n - *l + 1;
|
|
np = f2cmin(i__1,*n);
|
|
/* Computing MIN */
|
|
i__1 = *l + 1;
|
|
kp = f2cmin(i__1,*k);
|
|
|
|
i__1 = *l;
|
|
for (j = 1; j <= i__1; ++j) {
|
|
i__2 = *m;
|
|
for (i__ = 1; i__ <= i__2; ++i__) {
|
|
i__3 = i__ + j * work_dim1;
|
|
i__4 = i__ + (*n - *l + j) * b_dim1;
|
|
work[i__3].r = b[i__4].r, work[i__3].i = b[i__4].i;
|
|
}
|
|
}
|
|
ztrmm_("R", "U", "N", "N", m, l, &c_b14, &v[np + v_dim1], ldv, &work[
|
|
work_offset], ldwork);
|
|
i__1 = *n - *l;
|
|
zgemm_("N", "N", m, l, &i__1, &c_b14, &b[b_offset], ldb, &v[v_offset],
|
|
ldv, &c_b14, &work[work_offset], ldwork);
|
|
i__1 = *k - *l;
|
|
zgemm_("N", "N", m, &i__1, n, &c_b14, &b[b_offset], ldb, &v[kp *
|
|
v_dim1 + 1], ldv, &c_b22, &work[kp * work_dim1 + 1], ldwork);
|
|
|
|
i__1 = *k;
|
|
for (j = 1; j <= i__1; ++j) {
|
|
i__2 = *m;
|
|
for (i__ = 1; i__ <= i__2; ++i__) {
|
|
i__3 = i__ + j * work_dim1;
|
|
i__4 = i__ + j * work_dim1;
|
|
i__5 = i__ + j * a_dim1;
|
|
z__1.r = work[i__4].r + a[i__5].r, z__1.i = work[i__4].i + a[
|
|
i__5].i;
|
|
work[i__3].r = z__1.r, work[i__3].i = z__1.i;
|
|
}
|
|
}
|
|
|
|
ztrmm_("R", "U", trans, "N", m, k, &c_b14, &t[t_offset], ldt, &work[
|
|
work_offset], ldwork);
|
|
|
|
i__1 = *k;
|
|
for (j = 1; j <= i__1; ++j) {
|
|
i__2 = *m;
|
|
for (i__ = 1; i__ <= i__2; ++i__) {
|
|
i__3 = i__ + j * a_dim1;
|
|
i__4 = i__ + j * a_dim1;
|
|
i__5 = i__ + j * work_dim1;
|
|
z__1.r = a[i__4].r - work[i__5].r, z__1.i = a[i__4].i - work[
|
|
i__5].i;
|
|
a[i__3].r = z__1.r, a[i__3].i = z__1.i;
|
|
}
|
|
}
|
|
|
|
i__1 = *n - *l;
|
|
zgemm_("N", "C", m, &i__1, k, &c_b29, &work[work_offset], ldwork, &v[
|
|
v_offset], ldv, &c_b14, &b[b_offset], ldb);
|
|
i__1 = *k - *l;
|
|
zgemm_("N", "C", m, l, &i__1, &c_b29, &work[kp * work_dim1 + 1],
|
|
ldwork, &v[np + kp * v_dim1], ldv, &c_b14, &b[np * b_dim1 + 1]
|
|
, ldb);
|
|
ztrmm_("R", "U", "C", "N", m, l, &c_b14, &v[np + v_dim1], ldv, &work[
|
|
work_offset], ldwork);
|
|
i__1 = *l;
|
|
for (j = 1; j <= i__1; ++j) {
|
|
i__2 = *m;
|
|
for (i__ = 1; i__ <= i__2; ++i__) {
|
|
i__3 = i__ + (*n - *l + j) * b_dim1;
|
|
i__4 = i__ + (*n - *l + j) * b_dim1;
|
|
i__5 = i__ + j * work_dim1;
|
|
z__1.r = b[i__4].r - work[i__5].r, z__1.i = b[i__4].i - work[
|
|
i__5].i;
|
|
b[i__3].r = z__1.r, b[i__3].i = z__1.i;
|
|
}
|
|
}
|
|
|
|
/* --------------------------------------------------------------------------- */
|
|
|
|
} else if (column && backward && left) {
|
|
|
|
/* --------------------------------------------------------------------------- */
|
|
|
|
/* Let W = [ V ] (M-by-K) */
|
|
/* [ I ] (K-by-K) */
|
|
|
|
/* Form H C or H**H C where C = [ B ] (M-by-N) */
|
|
/* [ A ] (K-by-N) */
|
|
|
|
/* H = I - W T W**H or H**H = I - W T**H W**H */
|
|
|
|
/* A = A - T (A + V**H B) or A = A - T**H (A + V**H B) */
|
|
/* B = B - V T (A + V**H B) or B = B - V T**H (A + V**H B) */
|
|
|
|
/* --------------------------------------------------------------------------- */
|
|
|
|
/* Computing MIN */
|
|
i__1 = *l + 1;
|
|
mp = f2cmin(i__1,*m);
|
|
/* Computing MIN */
|
|
i__1 = *k - *l + 1;
|
|
kp = f2cmin(i__1,*k);
|
|
|
|
i__1 = *n;
|
|
for (j = 1; j <= i__1; ++j) {
|
|
i__2 = *l;
|
|
for (i__ = 1; i__ <= i__2; ++i__) {
|
|
i__3 = *k - *l + i__ + j * work_dim1;
|
|
i__4 = i__ + j * b_dim1;
|
|
work[i__3].r = b[i__4].r, work[i__3].i = b[i__4].i;
|
|
}
|
|
}
|
|
|
|
ztrmm_("L", "L", "C", "N", l, n, &c_b14, &v[kp * v_dim1 + 1], ldv, &
|
|
work[kp + work_dim1], ldwork);
|
|
i__1 = *m - *l;
|
|
zgemm_("C", "N", l, n, &i__1, &c_b14, &v[mp + kp * v_dim1], ldv, &b[
|
|
mp + b_dim1], ldb, &c_b14, &work[kp + work_dim1], ldwork);
|
|
i__1 = *k - *l;
|
|
zgemm_("C", "N", &i__1, n, m, &c_b14, &v[v_offset], ldv, &b[b_offset],
|
|
ldb, &c_b22, &work[work_offset], ldwork);
|
|
|
|
i__1 = *n;
|
|
for (j = 1; j <= i__1; ++j) {
|
|
i__2 = *k;
|
|
for (i__ = 1; i__ <= i__2; ++i__) {
|
|
i__3 = i__ + j * work_dim1;
|
|
i__4 = i__ + j * work_dim1;
|
|
i__5 = i__ + j * a_dim1;
|
|
z__1.r = work[i__4].r + a[i__5].r, z__1.i = work[i__4].i + a[
|
|
i__5].i;
|
|
work[i__3].r = z__1.r, work[i__3].i = z__1.i;
|
|
}
|
|
}
|
|
|
|
ztrmm_("L", "L", trans, "N", k, n, &c_b14, &t[t_offset], ldt, &work[
|
|
work_offset], ldwork);
|
|
|
|
i__1 = *n;
|
|
for (j = 1; j <= i__1; ++j) {
|
|
i__2 = *k;
|
|
for (i__ = 1; i__ <= i__2; ++i__) {
|
|
i__3 = i__ + j * a_dim1;
|
|
i__4 = i__ + j * a_dim1;
|
|
i__5 = i__ + j * work_dim1;
|
|
z__1.r = a[i__4].r - work[i__5].r, z__1.i = a[i__4].i - work[
|
|
i__5].i;
|
|
a[i__3].r = z__1.r, a[i__3].i = z__1.i;
|
|
}
|
|
}
|
|
|
|
i__1 = *m - *l;
|
|
zgemm_("N", "N", &i__1, n, k, &c_b29, &v[mp + v_dim1], ldv, &work[
|
|
work_offset], ldwork, &c_b14, &b[mp + b_dim1], ldb);
|
|
i__1 = *k - *l;
|
|
zgemm_("N", "N", l, n, &i__1, &c_b29, &v[v_offset], ldv, &work[
|
|
work_offset], ldwork, &c_b14, &b[b_offset], ldb);
|
|
ztrmm_("L", "L", "N", "N", l, n, &c_b14, &v[kp * v_dim1 + 1], ldv, &
|
|
work[kp + work_dim1], ldwork);
|
|
i__1 = *n;
|
|
for (j = 1; j <= i__1; ++j) {
|
|
i__2 = *l;
|
|
for (i__ = 1; i__ <= i__2; ++i__) {
|
|
i__3 = i__ + j * b_dim1;
|
|
i__4 = i__ + j * b_dim1;
|
|
i__5 = *k - *l + i__ + j * work_dim1;
|
|
z__1.r = b[i__4].r - work[i__5].r, z__1.i = b[i__4].i - work[
|
|
i__5].i;
|
|
b[i__3].r = z__1.r, b[i__3].i = z__1.i;
|
|
}
|
|
}
|
|
|
|
/* --------------------------------------------------------------------------- */
|
|
|
|
} else if (column && backward && right) {
|
|
|
|
/* --------------------------------------------------------------------------- */
|
|
|
|
/* Let W = [ V ] (N-by-K) */
|
|
/* [ I ] (K-by-K) */
|
|
|
|
/* Form C H or C H**H where C = [ B A ] (B is M-by-N, A is M-by-K) */
|
|
|
|
/* H = I - W T W**H or H**H = I - W T**H W**H */
|
|
|
|
/* A = A - (A + B V) T or A = A - (A + B V) T**H */
|
|
/* B = B - (A + B V) T V**H or B = B - (A + B V) T**H V**H */
|
|
|
|
/* --------------------------------------------------------------------------- */
|
|
|
|
/* Computing MIN */
|
|
i__1 = *l + 1;
|
|
np = f2cmin(i__1,*n);
|
|
/* Computing MIN */
|
|
i__1 = *k - *l + 1;
|
|
kp = f2cmin(i__1,*k);
|
|
|
|
i__1 = *l;
|
|
for (j = 1; j <= i__1; ++j) {
|
|
i__2 = *m;
|
|
for (i__ = 1; i__ <= i__2; ++i__) {
|
|
i__3 = i__ + (*k - *l + j) * work_dim1;
|
|
i__4 = i__ + j * b_dim1;
|
|
work[i__3].r = b[i__4].r, work[i__3].i = b[i__4].i;
|
|
}
|
|
}
|
|
ztrmm_("R", "L", "N", "N", m, l, &c_b14, &v[kp * v_dim1 + 1], ldv, &
|
|
work[kp * work_dim1 + 1], ldwork);
|
|
i__1 = *n - *l;
|
|
zgemm_("N", "N", m, l, &i__1, &c_b14, &b[np * b_dim1 + 1], ldb, &v[np
|
|
+ kp * v_dim1], ldv, &c_b14, &work[kp * work_dim1 + 1],
|
|
ldwork);
|
|
i__1 = *k - *l;
|
|
zgemm_("N", "N", m, &i__1, n, &c_b14, &b[b_offset], ldb, &v[v_offset],
|
|
ldv, &c_b22, &work[work_offset], ldwork);
|
|
|
|
i__1 = *k;
|
|
for (j = 1; j <= i__1; ++j) {
|
|
i__2 = *m;
|
|
for (i__ = 1; i__ <= i__2; ++i__) {
|
|
i__3 = i__ + j * work_dim1;
|
|
i__4 = i__ + j * work_dim1;
|
|
i__5 = i__ + j * a_dim1;
|
|
z__1.r = work[i__4].r + a[i__5].r, z__1.i = work[i__4].i + a[
|
|
i__5].i;
|
|
work[i__3].r = z__1.r, work[i__3].i = z__1.i;
|
|
}
|
|
}
|
|
|
|
ztrmm_("R", "L", trans, "N", m, k, &c_b14, &t[t_offset], ldt, &work[
|
|
work_offset], ldwork);
|
|
|
|
i__1 = *k;
|
|
for (j = 1; j <= i__1; ++j) {
|
|
i__2 = *m;
|
|
for (i__ = 1; i__ <= i__2; ++i__) {
|
|
i__3 = i__ + j * a_dim1;
|
|
i__4 = i__ + j * a_dim1;
|
|
i__5 = i__ + j * work_dim1;
|
|
z__1.r = a[i__4].r - work[i__5].r, z__1.i = a[i__4].i - work[
|
|
i__5].i;
|
|
a[i__3].r = z__1.r, a[i__3].i = z__1.i;
|
|
}
|
|
}
|
|
|
|
i__1 = *n - *l;
|
|
zgemm_("N", "C", m, &i__1, k, &c_b29, &work[work_offset], ldwork, &v[
|
|
np + v_dim1], ldv, &c_b14, &b[np * b_dim1 + 1], ldb);
|
|
i__1 = *k - *l;
|
|
zgemm_("N", "C", m, l, &i__1, &c_b29, &work[work_offset], ldwork, &v[
|
|
v_offset], ldv, &c_b14, &b[b_offset], ldb);
|
|
ztrmm_("R", "L", "C", "N", m, l, &c_b14, &v[kp * v_dim1 + 1], ldv, &
|
|
work[kp * work_dim1 + 1], ldwork);
|
|
i__1 = *l;
|
|
for (j = 1; j <= i__1; ++j) {
|
|
i__2 = *m;
|
|
for (i__ = 1; i__ <= i__2; ++i__) {
|
|
i__3 = i__ + j * b_dim1;
|
|
i__4 = i__ + j * b_dim1;
|
|
i__5 = i__ + (*k - *l + j) * work_dim1;
|
|
z__1.r = b[i__4].r - work[i__5].r, z__1.i = b[i__4].i - work[
|
|
i__5].i;
|
|
b[i__3].r = z__1.r, b[i__3].i = z__1.i;
|
|
}
|
|
}
|
|
|
|
/* --------------------------------------------------------------------------- */
|
|
|
|
} else if (row && forward && left) {
|
|
|
|
/* --------------------------------------------------------------------------- */
|
|
|
|
/* Let W = [ I V ] ( I is K-by-K, V is K-by-M ) */
|
|
|
|
/* Form H C or H**H C where C = [ A ] (K-by-N) */
|
|
/* [ B ] (M-by-N) */
|
|
|
|
/* H = I - W**H T W or H**H = I - W**H T**H W */
|
|
|
|
/* A = A - T (A + V B) or A = A - T**H (A + V B) */
|
|
/* B = B - V**H T (A + V B) or B = B - V**H T**H (A + V B) */
|
|
|
|
/* --------------------------------------------------------------------------- */
|
|
|
|
/* Computing MIN */
|
|
i__1 = *m - *l + 1;
|
|
mp = f2cmin(i__1,*m);
|
|
/* Computing MIN */
|
|
i__1 = *l + 1;
|
|
kp = f2cmin(i__1,*k);
|
|
|
|
i__1 = *n;
|
|
for (j = 1; j <= i__1; ++j) {
|
|
i__2 = *l;
|
|
for (i__ = 1; i__ <= i__2; ++i__) {
|
|
i__3 = i__ + j * work_dim1;
|
|
i__4 = *m - *l + i__ + j * b_dim1;
|
|
work[i__3].r = b[i__4].r, work[i__3].i = b[i__4].i;
|
|
}
|
|
}
|
|
ztrmm_("L", "L", "N", "N", l, n, &c_b14, &v[mp * v_dim1 + 1], ldv, &
|
|
work[work_offset], ldb);
|
|
i__1 = *m - *l;
|
|
zgemm_("N", "N", l, n, &i__1, &c_b14, &v[v_offset], ldv, &b[b_offset],
|
|
ldb, &c_b14, &work[work_offset], ldwork);
|
|
i__1 = *k - *l;
|
|
zgemm_("N", "N", &i__1, n, m, &c_b14, &v[kp + v_dim1], ldv, &b[
|
|
b_offset], ldb, &c_b22, &work[kp + work_dim1], ldwork);
|
|
|
|
i__1 = *n;
|
|
for (j = 1; j <= i__1; ++j) {
|
|
i__2 = *k;
|
|
for (i__ = 1; i__ <= i__2; ++i__) {
|
|
i__3 = i__ + j * work_dim1;
|
|
i__4 = i__ + j * work_dim1;
|
|
i__5 = i__ + j * a_dim1;
|
|
z__1.r = work[i__4].r + a[i__5].r, z__1.i = work[i__4].i + a[
|
|
i__5].i;
|
|
work[i__3].r = z__1.r, work[i__3].i = z__1.i;
|
|
}
|
|
}
|
|
|
|
ztrmm_("L", "U", trans, "N", k, n, &c_b14, &t[t_offset], ldt, &work[
|
|
work_offset], ldwork);
|
|
|
|
i__1 = *n;
|
|
for (j = 1; j <= i__1; ++j) {
|
|
i__2 = *k;
|
|
for (i__ = 1; i__ <= i__2; ++i__) {
|
|
i__3 = i__ + j * a_dim1;
|
|
i__4 = i__ + j * a_dim1;
|
|
i__5 = i__ + j * work_dim1;
|
|
z__1.r = a[i__4].r - work[i__5].r, z__1.i = a[i__4].i - work[
|
|
i__5].i;
|
|
a[i__3].r = z__1.r, a[i__3].i = z__1.i;
|
|
}
|
|
}
|
|
|
|
i__1 = *m - *l;
|
|
zgemm_("C", "N", &i__1, n, k, &c_b29, &v[v_offset], ldv, &work[
|
|
work_offset], ldwork, &c_b14, &b[b_offset], ldb);
|
|
i__1 = *k - *l;
|
|
zgemm_("C", "N", l, n, &i__1, &c_b29, &v[kp + mp * v_dim1], ldv, &
|
|
work[kp + work_dim1], ldwork, &c_b14, &b[mp + b_dim1], ldb);
|
|
ztrmm_("L", "L", "C", "N", l, n, &c_b14, &v[mp * v_dim1 + 1], ldv, &
|
|
work[work_offset], ldwork);
|
|
i__1 = *n;
|
|
for (j = 1; j <= i__1; ++j) {
|
|
i__2 = *l;
|
|
for (i__ = 1; i__ <= i__2; ++i__) {
|
|
i__3 = *m - *l + i__ + j * b_dim1;
|
|
i__4 = *m - *l + i__ + j * b_dim1;
|
|
i__5 = i__ + j * work_dim1;
|
|
z__1.r = b[i__4].r - work[i__5].r, z__1.i = b[i__4].i - work[
|
|
i__5].i;
|
|
b[i__3].r = z__1.r, b[i__3].i = z__1.i;
|
|
}
|
|
}
|
|
|
|
/* --------------------------------------------------------------------------- */
|
|
|
|
} else if (row && forward && right) {
|
|
|
|
/* --------------------------------------------------------------------------- */
|
|
|
|
/* Let W = [ I V ] ( I is K-by-K, V is K-by-N ) */
|
|
|
|
/* Form C H or C H**H where C = [ A B ] (A is M-by-K, B is M-by-N) */
|
|
|
|
/* H = I - W**H T W or H**H = I - W**H T**H W */
|
|
|
|
/* A = A - (A + B V**H) T or A = A - (A + B V**H) T**H */
|
|
/* B = B - (A + B V**H) T V or B = B - (A + B V**H) T**H V */
|
|
|
|
/* --------------------------------------------------------------------------- */
|
|
|
|
/* Computing MIN */
|
|
i__1 = *n - *l + 1;
|
|
np = f2cmin(i__1,*n);
|
|
/* Computing MIN */
|
|
i__1 = *l + 1;
|
|
kp = f2cmin(i__1,*k);
|
|
|
|
i__1 = *l;
|
|
for (j = 1; j <= i__1; ++j) {
|
|
i__2 = *m;
|
|
for (i__ = 1; i__ <= i__2; ++i__) {
|
|
i__3 = i__ + j * work_dim1;
|
|
i__4 = i__ + (*n - *l + j) * b_dim1;
|
|
work[i__3].r = b[i__4].r, work[i__3].i = b[i__4].i;
|
|
}
|
|
}
|
|
ztrmm_("R", "L", "C", "N", m, l, &c_b14, &v[np * v_dim1 + 1], ldv, &
|
|
work[work_offset], ldwork);
|
|
i__1 = *n - *l;
|
|
zgemm_("N", "C", m, l, &i__1, &c_b14, &b[b_offset], ldb, &v[v_offset],
|
|
ldv, &c_b14, &work[work_offset], ldwork);
|
|
i__1 = *k - *l;
|
|
zgemm_("N", "C", m, &i__1, n, &c_b14, &b[b_offset], ldb, &v[kp +
|
|
v_dim1], ldv, &c_b22, &work[kp * work_dim1 + 1], ldwork);
|
|
|
|
i__1 = *k;
|
|
for (j = 1; j <= i__1; ++j) {
|
|
i__2 = *m;
|
|
for (i__ = 1; i__ <= i__2; ++i__) {
|
|
i__3 = i__ + j * work_dim1;
|
|
i__4 = i__ + j * work_dim1;
|
|
i__5 = i__ + j * a_dim1;
|
|
z__1.r = work[i__4].r + a[i__5].r, z__1.i = work[i__4].i + a[
|
|
i__5].i;
|
|
work[i__3].r = z__1.r, work[i__3].i = z__1.i;
|
|
}
|
|
}
|
|
|
|
ztrmm_("R", "U", trans, "N", m, k, &c_b14, &t[t_offset], ldt, &work[
|
|
work_offset], ldwork);
|
|
|
|
i__1 = *k;
|
|
for (j = 1; j <= i__1; ++j) {
|
|
i__2 = *m;
|
|
for (i__ = 1; i__ <= i__2; ++i__) {
|
|
i__3 = i__ + j * a_dim1;
|
|
i__4 = i__ + j * a_dim1;
|
|
i__5 = i__ + j * work_dim1;
|
|
z__1.r = a[i__4].r - work[i__5].r, z__1.i = a[i__4].i - work[
|
|
i__5].i;
|
|
a[i__3].r = z__1.r, a[i__3].i = z__1.i;
|
|
}
|
|
}
|
|
|
|
i__1 = *n - *l;
|
|
zgemm_("N", "N", m, &i__1, k, &c_b29, &work[work_offset], ldwork, &v[
|
|
v_offset], ldv, &c_b14, &b[b_offset], ldb);
|
|
i__1 = *k - *l;
|
|
zgemm_("N", "N", m, l, &i__1, &c_b29, &work[kp * work_dim1 + 1],
|
|
ldwork, &v[kp + np * v_dim1], ldv, &c_b14, &b[np * b_dim1 + 1]
|
|
, ldb);
|
|
ztrmm_("R", "L", "N", "N", m, l, &c_b14, &v[np * v_dim1 + 1], ldv, &
|
|
work[work_offset], ldwork);
|
|
i__1 = *l;
|
|
for (j = 1; j <= i__1; ++j) {
|
|
i__2 = *m;
|
|
for (i__ = 1; i__ <= i__2; ++i__) {
|
|
i__3 = i__ + (*n - *l + j) * b_dim1;
|
|
i__4 = i__ + (*n - *l + j) * b_dim1;
|
|
i__5 = i__ + j * work_dim1;
|
|
z__1.r = b[i__4].r - work[i__5].r, z__1.i = b[i__4].i - work[
|
|
i__5].i;
|
|
b[i__3].r = z__1.r, b[i__3].i = z__1.i;
|
|
}
|
|
}
|
|
|
|
/* --------------------------------------------------------------------------- */
|
|
|
|
} else if (row && backward && left) {
|
|
|
|
/* --------------------------------------------------------------------------- */
|
|
|
|
/* Let W = [ V I ] ( I is K-by-K, V is K-by-M ) */
|
|
|
|
/* Form H C or H**H C where C = [ B ] (M-by-N) */
|
|
/* [ A ] (K-by-N) */
|
|
|
|
/* H = I - W**H T W or H**H = I - W**H T**H W */
|
|
|
|
/* A = A - T (A + V B) or A = A - T**H (A + V B) */
|
|
/* B = B - V**H T (A + V B) or B = B - V**H T**H (A + V B) */
|
|
|
|
/* --------------------------------------------------------------------------- */
|
|
|
|
/* Computing MIN */
|
|
i__1 = *l + 1;
|
|
mp = f2cmin(i__1,*m);
|
|
/* Computing MIN */
|
|
i__1 = *k - *l + 1;
|
|
kp = f2cmin(i__1,*k);
|
|
|
|
i__1 = *n;
|
|
for (j = 1; j <= i__1; ++j) {
|
|
i__2 = *l;
|
|
for (i__ = 1; i__ <= i__2; ++i__) {
|
|
i__3 = *k - *l + i__ + j * work_dim1;
|
|
i__4 = i__ + j * b_dim1;
|
|
work[i__3].r = b[i__4].r, work[i__3].i = b[i__4].i;
|
|
}
|
|
}
|
|
ztrmm_("L", "U", "N", "N", l, n, &c_b14, &v[kp + v_dim1], ldv, &work[
|
|
kp + work_dim1], ldwork);
|
|
i__1 = *m - *l;
|
|
zgemm_("N", "N", l, n, &i__1, &c_b14, &v[kp + mp * v_dim1], ldv, &b[
|
|
mp + b_dim1], ldb, &c_b14, &work[kp + work_dim1], ldwork);
|
|
i__1 = *k - *l;
|
|
zgemm_("N", "N", &i__1, n, m, &c_b14, &v[v_offset], ldv, &b[b_offset],
|
|
ldb, &c_b22, &work[work_offset], ldwork);
|
|
|
|
i__1 = *n;
|
|
for (j = 1; j <= i__1; ++j) {
|
|
i__2 = *k;
|
|
for (i__ = 1; i__ <= i__2; ++i__) {
|
|
i__3 = i__ + j * work_dim1;
|
|
i__4 = i__ + j * work_dim1;
|
|
i__5 = i__ + j * a_dim1;
|
|
z__1.r = work[i__4].r + a[i__5].r, z__1.i = work[i__4].i + a[
|
|
i__5].i;
|
|
work[i__3].r = z__1.r, work[i__3].i = z__1.i;
|
|
}
|
|
}
|
|
|
|
ztrmm_("L", "L ", trans, "N", k, n, &c_b14, &t[t_offset], ldt, &work[
|
|
work_offset], ldwork);
|
|
|
|
i__1 = *n;
|
|
for (j = 1; j <= i__1; ++j) {
|
|
i__2 = *k;
|
|
for (i__ = 1; i__ <= i__2; ++i__) {
|
|
i__3 = i__ + j * a_dim1;
|
|
i__4 = i__ + j * a_dim1;
|
|
i__5 = i__ + j * work_dim1;
|
|
z__1.r = a[i__4].r - work[i__5].r, z__1.i = a[i__4].i - work[
|
|
i__5].i;
|
|
a[i__3].r = z__1.r, a[i__3].i = z__1.i;
|
|
}
|
|
}
|
|
|
|
i__1 = *m - *l;
|
|
zgemm_("C", "N", &i__1, n, k, &c_b29, &v[mp * v_dim1 + 1], ldv, &work[
|
|
work_offset], ldwork, &c_b14, &b[mp + b_dim1], ldb);
|
|
i__1 = *k - *l;
|
|
zgemm_("C", "N", l, n, &i__1, &c_b29, &v[v_offset], ldv, &work[
|
|
work_offset], ldwork, &c_b14, &b[b_offset], ldb);
|
|
ztrmm_("L", "U", "C", "N", l, n, &c_b14, &v[kp + v_dim1], ldv, &work[
|
|
kp + work_dim1], ldwork);
|
|
i__1 = *n;
|
|
for (j = 1; j <= i__1; ++j) {
|
|
i__2 = *l;
|
|
for (i__ = 1; i__ <= i__2; ++i__) {
|
|
i__3 = i__ + j * b_dim1;
|
|
i__4 = i__ + j * b_dim1;
|
|
i__5 = *k - *l + i__ + j * work_dim1;
|
|
z__1.r = b[i__4].r - work[i__5].r, z__1.i = b[i__4].i - work[
|
|
i__5].i;
|
|
b[i__3].r = z__1.r, b[i__3].i = z__1.i;
|
|
}
|
|
}
|
|
|
|
/* --------------------------------------------------------------------------- */
|
|
|
|
} else if (row && backward && right) {
|
|
|
|
/* --------------------------------------------------------------------------- */
|
|
|
|
/* Let W = [ V I ] ( I is K-by-K, V is K-by-N ) */
|
|
|
|
/* Form C H or C H**H where C = [ B A ] (A is M-by-K, B is M-by-N) */
|
|
|
|
/* H = I - W**H T W or H**H = I - W**H T**H W */
|
|
|
|
/* A = A - (A + B V**H) T or A = A - (A + B V**H) T**H */
|
|
/* B = B - (A + B V**H) T V or B = B - (A + B V**H) T**H V */
|
|
|
|
/* --------------------------------------------------------------------------- */
|
|
|
|
/* Computing MIN */
|
|
i__1 = *l + 1;
|
|
np = f2cmin(i__1,*n);
|
|
/* Computing MIN */
|
|
i__1 = *k - *l + 1;
|
|
kp = f2cmin(i__1,*k);
|
|
|
|
i__1 = *l;
|
|
for (j = 1; j <= i__1; ++j) {
|
|
i__2 = *m;
|
|
for (i__ = 1; i__ <= i__2; ++i__) {
|
|
i__3 = i__ + (*k - *l + j) * work_dim1;
|
|
i__4 = i__ + j * b_dim1;
|
|
work[i__3].r = b[i__4].r, work[i__3].i = b[i__4].i;
|
|
}
|
|
}
|
|
ztrmm_("R", "U", "C", "N", m, l, &c_b14, &v[kp + v_dim1], ldv, &work[
|
|
kp * work_dim1 + 1], ldwork);
|
|
i__1 = *n - *l;
|
|
zgemm_("N", "C", m, l, &i__1, &c_b14, &b[np * b_dim1 + 1], ldb, &v[kp
|
|
+ np * v_dim1], ldv, &c_b14, &work[kp * work_dim1 + 1],
|
|
ldwork);
|
|
i__1 = *k - *l;
|
|
zgemm_("N", "C", m, &i__1, n, &c_b14, &b[b_offset], ldb, &v[v_offset],
|
|
ldv, &c_b22, &work[work_offset], ldwork);
|
|
|
|
i__1 = *k;
|
|
for (j = 1; j <= i__1; ++j) {
|
|
i__2 = *m;
|
|
for (i__ = 1; i__ <= i__2; ++i__) {
|
|
i__3 = i__ + j * work_dim1;
|
|
i__4 = i__ + j * work_dim1;
|
|
i__5 = i__ + j * a_dim1;
|
|
z__1.r = work[i__4].r + a[i__5].r, z__1.i = work[i__4].i + a[
|
|
i__5].i;
|
|
work[i__3].r = z__1.r, work[i__3].i = z__1.i;
|
|
}
|
|
}
|
|
|
|
ztrmm_("R", "L", trans, "N", m, k, &c_b14, &t[t_offset], ldt, &work[
|
|
work_offset], ldwork);
|
|
|
|
i__1 = *k;
|
|
for (j = 1; j <= i__1; ++j) {
|
|
i__2 = *m;
|
|
for (i__ = 1; i__ <= i__2; ++i__) {
|
|
i__3 = i__ + j * a_dim1;
|
|
i__4 = i__ + j * a_dim1;
|
|
i__5 = i__ + j * work_dim1;
|
|
z__1.r = a[i__4].r - work[i__5].r, z__1.i = a[i__4].i - work[
|
|
i__5].i;
|
|
a[i__3].r = z__1.r, a[i__3].i = z__1.i;
|
|
}
|
|
}
|
|
|
|
i__1 = *n - *l;
|
|
zgemm_("N", "N", m, &i__1, k, &c_b29, &work[work_offset], ldwork, &v[
|
|
np * v_dim1 + 1], ldv, &c_b14, &b[np * b_dim1 + 1], ldb);
|
|
i__1 = *k - *l;
|
|
zgemm_("N", "N", m, l, &i__1, &c_b29, &work[work_offset], ldwork, &v[
|
|
v_offset], ldv, &c_b14, &b[b_offset], ldb);
|
|
ztrmm_("R", "U", "N", "N", m, l, &c_b14, &v[kp + v_dim1], ldv, &work[
|
|
kp * work_dim1 + 1], ldwork);
|
|
i__1 = *l;
|
|
for (j = 1; j <= i__1; ++j) {
|
|
i__2 = *m;
|
|
for (i__ = 1; i__ <= i__2; ++i__) {
|
|
i__3 = i__ + j * b_dim1;
|
|
i__4 = i__ + j * b_dim1;
|
|
i__5 = i__ + (*k - *l + j) * work_dim1;
|
|
z__1.r = b[i__4].r - work[i__5].r, z__1.i = b[i__4].i - work[
|
|
i__5].i;
|
|
b[i__3].r = z__1.r, b[i__3].i = z__1.i;
|
|
}
|
|
}
|
|
|
|
}
|
|
|
|
return;
|
|
|
|
/* End of ZTPRFB */
|
|
|
|
} /* ztprfb_ */
|
|
|