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OpenBLAS/lapack-netlib/SRC/zlasr.c

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#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]/Cd(b)._Val[1]);}
#else
#define c_div(c, a, b) {pCf(c) = Cf(a)/Cf(b);}
#define z_div(c, a, b) {pCd(c) = Cd(a)/Cd(b);}
#endif
#define c_exp(R, Z) {pCf(R) = cexpf(Cf(Z));}
#define c_log(R, Z) {pCf(R) = clogf(Cf(Z));}
#define c_sin(R, Z) {pCf(R) = csinf(Cf(Z));}
//#define c_sqrt(R, Z) {*(R) = csqrtf(Cf(Z));}
#define c_sqrt(R, Z) {pCf(R) = csqrtf(Cf(Z));}
#define d_abs(x) (fabs(*(x)))
#define d_acos(x) (acos(*(x)))
#define d_asin(x) (asin(*(x)))
#define d_atan(x) (atan(*(x)))
#define d_atn2(x, y) (atan2(*(x),*(y)))
#define d_cnjg(R, Z) { pCd(R) = conj(Cd(Z)); }
#define r_cnjg(R, Z) { pCf(R) = conjf(Cf(Z)); }
#define d_cos(x) (cos(*(x)))
#define d_cosh(x) (cosh(*(x)))
#define d_dim(__a, __b) ( *(__a) > *(__b) ? *(__a) - *(__b) : 0.0 )
#define d_exp(x) (exp(*(x)))
#define d_imag(z) (cimag(Cd(z)))
#define r_imag(z) (cimagf(Cf(z)))
#define d_int(__x) (*(__x)>0 ? floor(*(__x)) : -floor(- *(__x)))
#define r_int(__x) (*(__x)>0 ? floor(*(__x)) : -floor(- *(__x)))
#define d_lg10(x) ( 0.43429448190325182765 * log(*(x)) )
#define r_lg10(x) ( 0.43429448190325182765 * log(*(x)) )
#define d_log(x) (log(*(x)))
#define d_mod(x, y) (fmod(*(x), *(y)))
#define u_nint(__x) ((__x)>=0 ? floor((__x) + .5) : -floor(.5 - (__x)))
#define d_nint(x) u_nint(*(x))
#define u_sign(__a,__b) ((__b) >= 0 ? ((__a) >= 0 ? (__a) : -(__a)) : -((__a) >= 0 ? (__a) : -(__a)))
#define d_sign(a,b) u_sign(*(a),*(b))
#define r_sign(a,b) u_sign(*(a),*(b))
#define d_sin(x) (sin(*(x)))
#define d_sinh(x) (sinh(*(x)))
#define d_sqrt(x) (sqrt(*(x)))
#define d_tan(x) (tan(*(x)))
#define d_tanh(x) (tanh(*(x)))
#define i_abs(x) abs(*(x))
#define i_dnnt(x) ((integer)u_nint(*(x)))
#define i_len(s, n) (n)
#define i_nint(x) ((integer)u_nint(*(x)))
#define i_sign(a,b) ((integer)u_sign((integer)*(a),(integer)*(b)))
#define pow_dd(ap, bp) ( pow(*(ap), *(bp)))
#define pow_si(B,E) spow_ui(*(B),*(E))
#define pow_ri(B,E) spow_ui(*(B),*(E))
#define pow_di(B,E) dpow_ui(*(B),*(E))
#define pow_zi(p, a, b) {pCd(p) = zpow_ui(Cd(a), *(b));}
#define pow_ci(p, a, b) {pCf(p) = cpow_ui(Cf(a), *(b));}
#define pow_zz(R,A,B) {pCd(R) = cpow(Cd(A),*(B));}
#define s_cat(lpp, rpp, rnp, np, llp) { ftnlen i, nc, ll; char *f__rp, *lp; ll = (llp); lp = (lpp); for(i=0; i < (int)*(np); ++i) { nc = ll; if((rnp)[i] < nc) nc = (rnp)[i]; ll -= nc; f__rp = (rpp)[i]; while(--nc >= 0) *lp++ = *(f__rp)++; } while(--ll >= 0) *lp++ = ' '; }
#define s_cmp(a,b,c,d) ((integer)strncmp((a),(b),f2cmin((c),(d))))
#define s_copy(A,B,C,D) { int __i,__m; for (__i=0, __m=f2cmin((C),(D)); __i<__m && (B)[__i] != 0; ++__i) (A)[__i] = (B)[__i]; }
#define sig_die(s, kill) { exit(1); }
#define s_stop(s, n) {exit(0);}
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)
*/
/* > \brief \b ZLASR applies a sequence of plane rotations to a general rectangular matrix. */
/* =========== DOCUMENTATION =========== */
/* Online html documentation available at */
/* http://www.netlib.org/lapack/explore-html/ */
/* > \htmlonly */
/* > Download ZLASR + dependencies */
/* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zlasr.f
"> */
/* > [TGZ]</a> */
/* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zlasr.f
"> */
/* > [ZIP]</a> */
/* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zlasr.f
"> */
/* > [TXT]</a> */
/* > \endhtmlonly */
/* Definition: */
/* =========== */
/* SUBROUTINE ZLASR( SIDE, PIVOT, DIRECT, M, N, C, S, A, LDA ) */
/* CHARACTER DIRECT, PIVOT, SIDE */
/* INTEGER LDA, M, N */
/* DOUBLE PRECISION C( * ), S( * ) */
/* COMPLEX*16 A( LDA, * ) */
/* > \par Purpose: */
/* ============= */
/* > */
/* > \verbatim */
/* > */
/* > ZLASR applies a sequence of real plane rotations to a complex matrix */
/* > A, from either the left or the right. */
/* > */
/* > When SIDE = 'L', the transformation takes the form */
/* > */
/* > A := P*A */
/* > */
/* > and when SIDE = 'R', the transformation takes the form */
/* > */
/* > A := A*P**T */
/* > */
/* > where P is an orthogonal matrix consisting of a sequence of z plane */
/* > rotations, with z = M when SIDE = 'L' and z = N when SIDE = 'R', */
/* > and P**T is the transpose of P. */
/* > */
/* > When DIRECT = 'F' (Forward sequence), then */
/* > */
/* > P = P(z-1) * ... * P(2) * P(1) */
/* > */
/* > and when DIRECT = 'B' (Backward sequence), then */
/* > */
/* > P = P(1) * P(2) * ... * P(z-1) */
/* > */
/* > where P(k) is a plane rotation matrix defined by the 2-by-2 rotation */
/* > */
/* > R(k) = ( c(k) s(k) ) */
/* > = ( -s(k) c(k) ). */
/* > */
/* > When PIVOT = 'V' (Variable pivot), the rotation is performed */
/* > for the plane (k,k+1), i.e., P(k) has the form */
/* > */
/* > P(k) = ( 1 ) */
/* > ( ... ) */
/* > ( 1 ) */
/* > ( c(k) s(k) ) */
/* > ( -s(k) c(k) ) */
/* > ( 1 ) */
/* > ( ... ) */
/* > ( 1 ) */
/* > */
/* > where R(k) appears as a rank-2 modification to the identity matrix in */
/* > rows and columns k and k+1. */
/* > */
/* > When PIVOT = 'T' (Top pivot), the rotation is performed for the */
/* > plane (1,k+1), so P(k) has the form */
/* > */
/* > P(k) = ( c(k) s(k) ) */
/* > ( 1 ) */
/* > ( ... ) */
/* > ( 1 ) */
/* > ( -s(k) c(k) ) */
/* > ( 1 ) */
/* > ( ... ) */
/* > ( 1 ) */
/* > */
/* > where R(k) appears in rows and columns 1 and k+1. */
/* > */
/* > Similarly, when PIVOT = 'B' (Bottom pivot), the rotation is */
/* > performed for the plane (k,z), giving P(k) the form */
/* > */
/* > P(k) = ( 1 ) */
/* > ( ... ) */
/* > ( 1 ) */
/* > ( c(k) s(k) ) */
/* > ( 1 ) */
/* > ( ... ) */
/* > ( 1 ) */
/* > ( -s(k) c(k) ) */
/* > */
/* > where R(k) appears in rows and columns k and z. The rotations are */
/* > performed without ever forming P(k) explicitly. */
/* > \endverbatim */
/* Arguments: */
/* ========== */
/* > \param[in] SIDE */
/* > \verbatim */
/* > SIDE is CHARACTER*1 */
/* > Specifies whether the plane rotation matrix P is applied to */
/* > A on the left or the right. */
/* > = 'L': Left, compute A := P*A */
/* > = 'R': Right, compute A:= A*P**T */
/* > \endverbatim */
/* > */
/* > \param[in] PIVOT */
/* > \verbatim */
/* > PIVOT is CHARACTER*1 */
/* > Specifies the plane for which P(k) is a plane rotation */
/* > matrix. */
/* > = 'V': Variable pivot, the plane (k,k+1) */
/* > = 'T': Top pivot, the plane (1,k+1) */
/* > = 'B': Bottom pivot, the plane (k,z) */
/* > \endverbatim */
/* > */
/* > \param[in] DIRECT */
/* > \verbatim */
/* > DIRECT is CHARACTER*1 */
/* > Specifies whether P is a forward or backward sequence of */
/* > plane rotations. */
/* > = 'F': Forward, P = P(z-1)*...*P(2)*P(1) */
/* > = 'B': Backward, P = P(1)*P(2)*...*P(z-1) */
/* > \endverbatim */
/* > */
/* > \param[in] M */
/* > \verbatim */
/* > M is INTEGER */
/* > The number of rows of the matrix A. If m <= 1, an immediate */
/* > return is effected. */
/* > \endverbatim */
/* > */
/* > \param[in] N */
/* > \verbatim */
/* > N is INTEGER */
/* > The number of columns of the matrix A. If n <= 1, an */
/* > immediate return is effected. */
/* > \endverbatim */
/* > */
/* > \param[in] C */
/* > \verbatim */
/* > C is DOUBLE PRECISION array, dimension */
/* > (M-1) if SIDE = 'L' */
/* > (N-1) if SIDE = 'R' */
/* > The cosines c(k) of the plane rotations. */
/* > \endverbatim */
/* > */
/* > \param[in] S */
/* > \verbatim */
/* > S is DOUBLE PRECISION array, dimension */
/* > (M-1) if SIDE = 'L' */
/* > (N-1) if SIDE = 'R' */
/* > The sines s(k) of the plane rotations. The 2-by-2 plane */
/* > rotation part of the matrix P(k), R(k), has the form */
/* > R(k) = ( c(k) s(k) ) */
/* > ( -s(k) c(k) ). */
/* > \endverbatim */
/* > */
/* > \param[in,out] A */
/* > \verbatim */
/* > A is COMPLEX*16 array, dimension (LDA,N) */
/* > The M-by-N matrix A. On exit, A is overwritten by P*A if */
/* > SIDE = 'R' or by A*P**T if SIDE = 'L'. */
/* > \endverbatim */
/* > */
/* > \param[in] LDA */
/* > \verbatim */
/* > LDA is INTEGER */
/* > The leading dimension of the array A. LDA >= f2cmax(1,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 */
/* ===================================================================== */
/* Subroutine */ void zlasr_(char *side, char *pivot, char *direct, integer *m,
integer *n, doublereal *c__, doublereal *s, doublecomplex *a,
integer *lda)
{
/* System generated locals */
integer a_dim1, a_offset, i__1, i__2, i__3, i__4;
doublecomplex z__1, z__2, z__3;
/* Local variables */
integer info;
doublecomplex temp;
integer i__, j;
extern logical lsame_(char *, char *);
doublereal ctemp, stemp;
extern /* Subroutine */ int xerbla_(char *, integer *, ftnlen);
/* -- 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 */
/* ===================================================================== */
/* Test the input parameters */
/* Parameter adjustments */
--c__;
--s;
a_dim1 = *lda;
a_offset = 1 + a_dim1 * 1;
a -= a_offset;
/* Function Body */
info = 0;
if (! (lsame_(side, "L") || lsame_(side, "R"))) {
info = 1;
} else if (! (lsame_(pivot, "V") || lsame_(pivot,
"T") || lsame_(pivot, "B"))) {
info = 2;
} else if (! (lsame_(direct, "F") || lsame_(direct,
"B"))) {
info = 3;
} else if (*m < 0) {
info = 4;
} else if (*n < 0) {
info = 5;
} else if (*lda < f2cmax(1,*m)) {
info = 9;
}
if (info != 0) {
xerbla_("ZLASR ", &info, (ftnlen)6);
return;
}
/* Quick return if possible */
if (*m == 0 || *n == 0) {
return;
}
if (lsame_(side, "L")) {
/* Form P * A */
if (lsame_(pivot, "V")) {
if (lsame_(direct, "F")) {
i__1 = *m - 1;
for (j = 1; j <= i__1; ++j) {
ctemp = c__[j];
stemp = s[j];
if (ctemp != 1. || stemp != 0.) {
i__2 = *n;
for (i__ = 1; i__ <= i__2; ++i__) {
i__3 = j + 1 + i__ * a_dim1;
temp.r = a[i__3].r, temp.i = a[i__3].i;
i__3 = j + 1 + i__ * a_dim1;
z__2.r = ctemp * temp.r, z__2.i = ctemp * temp.i;
i__4 = j + i__ * a_dim1;
z__3.r = stemp * a[i__4].r, z__3.i = stemp * a[
i__4].i;
z__1.r = z__2.r - z__3.r, z__1.i = z__2.i -
z__3.i;
a[i__3].r = z__1.r, a[i__3].i = z__1.i;
i__3 = j + i__ * a_dim1;
z__2.r = stemp * temp.r, z__2.i = stemp * temp.i;
i__4 = j + i__ * a_dim1;
z__3.r = ctemp * a[i__4].r, z__3.i = ctemp * a[
i__4].i;
z__1.r = z__2.r + z__3.r, z__1.i = z__2.i +
z__3.i;
a[i__3].r = z__1.r, a[i__3].i = z__1.i;
/* L10: */
}
}
/* L20: */
}
} else if (lsame_(direct, "B")) {
for (j = *m - 1; j >= 1; --j) {
ctemp = c__[j];
stemp = s[j];
if (ctemp != 1. || stemp != 0.) {
i__1 = *n;
for (i__ = 1; i__ <= i__1; ++i__) {
i__2 = j + 1 + i__ * a_dim1;
temp.r = a[i__2].r, temp.i = a[i__2].i;
i__2 = j + 1 + i__ * a_dim1;
z__2.r = ctemp * temp.r, z__2.i = ctemp * temp.i;
i__3 = j + i__ * a_dim1;
z__3.r = stemp * a[i__3].r, z__3.i = stemp * a[
i__3].i;
z__1.r = z__2.r - z__3.r, z__1.i = z__2.i -
z__3.i;
a[i__2].r = z__1.r, a[i__2].i = z__1.i;
i__2 = j + i__ * a_dim1;
z__2.r = stemp * temp.r, z__2.i = stemp * temp.i;
i__3 = j + i__ * a_dim1;
z__3.r = ctemp * a[i__3].r, z__3.i = ctemp * a[
i__3].i;
z__1.r = z__2.r + z__3.r, z__1.i = z__2.i +
z__3.i;
a[i__2].r = z__1.r, a[i__2].i = z__1.i;
/* L30: */
}
}
/* L40: */
}
}
} else if (lsame_(pivot, "T")) {
if (lsame_(direct, "F")) {
i__1 = *m;
for (j = 2; j <= i__1; ++j) {
ctemp = c__[j - 1];
stemp = s[j - 1];
if (ctemp != 1. || stemp != 0.) {
i__2 = *n;
for (i__ = 1; i__ <= i__2; ++i__) {
i__3 = j + i__ * a_dim1;
temp.r = a[i__3].r, temp.i = a[i__3].i;
i__3 = j + i__ * a_dim1;
z__2.r = ctemp * temp.r, z__2.i = ctemp * temp.i;
i__4 = i__ * a_dim1 + 1;
z__3.r = stemp * a[i__4].r, z__3.i = stemp * a[
i__4].i;
z__1.r = z__2.r - z__3.r, z__1.i = z__2.i -
z__3.i;
a[i__3].r = z__1.r, a[i__3].i = z__1.i;
i__3 = i__ * a_dim1 + 1;
z__2.r = stemp * temp.r, z__2.i = stemp * temp.i;
i__4 = i__ * a_dim1 + 1;
z__3.r = ctemp * a[i__4].r, z__3.i = ctemp * a[
i__4].i;
z__1.r = z__2.r + z__3.r, z__1.i = z__2.i +
z__3.i;
a[i__3].r = z__1.r, a[i__3].i = z__1.i;
/* L50: */
}
}
/* L60: */
}
} else if (lsame_(direct, "B")) {
for (j = *m; j >= 2; --j) {
ctemp = c__[j - 1];
stemp = s[j - 1];
if (ctemp != 1. || stemp != 0.) {
i__1 = *n;
for (i__ = 1; i__ <= i__1; ++i__) {
i__2 = j + i__ * a_dim1;
temp.r = a[i__2].r, temp.i = a[i__2].i;
i__2 = j + i__ * a_dim1;
z__2.r = ctemp * temp.r, z__2.i = ctemp * temp.i;
i__3 = i__ * a_dim1 + 1;
z__3.r = stemp * a[i__3].r, z__3.i = stemp * a[
i__3].i;
z__1.r = z__2.r - z__3.r, z__1.i = z__2.i -
z__3.i;
a[i__2].r = z__1.r, a[i__2].i = z__1.i;
i__2 = i__ * a_dim1 + 1;
z__2.r = stemp * temp.r, z__2.i = stemp * temp.i;
i__3 = i__ * a_dim1 + 1;
z__3.r = ctemp * a[i__3].r, z__3.i = ctemp * a[
i__3].i;
z__1.r = z__2.r + z__3.r, z__1.i = z__2.i +
z__3.i;
a[i__2].r = z__1.r, a[i__2].i = z__1.i;
/* L70: */
}
}
/* L80: */
}
}
} else if (lsame_(pivot, "B")) {
if (lsame_(direct, "F")) {
i__1 = *m - 1;
for (j = 1; j <= i__1; ++j) {
ctemp = c__[j];
stemp = s[j];
if (ctemp != 1. || stemp != 0.) {
i__2 = *n;
for (i__ = 1; i__ <= i__2; ++i__) {
i__3 = j + i__ * a_dim1;
temp.r = a[i__3].r, temp.i = a[i__3].i;
i__3 = j + i__ * a_dim1;
i__4 = *m + i__ * a_dim1;
z__2.r = stemp * a[i__4].r, z__2.i = stemp * a[
i__4].i;
z__3.r = ctemp * temp.r, z__3.i = ctemp * temp.i;
z__1.r = z__2.r + z__3.r, z__1.i = z__2.i +
z__3.i;
a[i__3].r = z__1.r, a[i__3].i = z__1.i;
i__3 = *m + i__ * a_dim1;
i__4 = *m + i__ * a_dim1;
z__2.r = ctemp * a[i__4].r, z__2.i = ctemp * a[
i__4].i;
z__3.r = stemp * temp.r, z__3.i = stemp * temp.i;
z__1.r = z__2.r - z__3.r, z__1.i = z__2.i -
z__3.i;
a[i__3].r = z__1.r, a[i__3].i = z__1.i;
/* L90: */
}
}
/* L100: */
}
} else if (lsame_(direct, "B")) {
for (j = *m - 1; j >= 1; --j) {
ctemp = c__[j];
stemp = s[j];
if (ctemp != 1. || stemp != 0.) {
i__1 = *n;
for (i__ = 1; i__ <= i__1; ++i__) {
i__2 = j + i__ * a_dim1;
temp.r = a[i__2].r, temp.i = a[i__2].i;
i__2 = j + i__ * a_dim1;
i__3 = *m + i__ * a_dim1;
z__2.r = stemp * a[i__3].r, z__2.i = stemp * a[
i__3].i;
z__3.r = ctemp * temp.r, z__3.i = ctemp * temp.i;
z__1.r = z__2.r + z__3.r, z__1.i = z__2.i +
z__3.i;
a[i__2].r = z__1.r, a[i__2].i = z__1.i;
i__2 = *m + i__ * a_dim1;
i__3 = *m + i__ * a_dim1;
z__2.r = ctemp * a[i__3].r, z__2.i = ctemp * a[
i__3].i;
z__3.r = stemp * temp.r, z__3.i = stemp * temp.i;
z__1.r = z__2.r - z__3.r, z__1.i = z__2.i -
z__3.i;
a[i__2].r = z__1.r, a[i__2].i = z__1.i;
/* L110: */
}
}
/* L120: */
}
}
}
} else if (lsame_(side, "R")) {
/* Form A * P**T */
if (lsame_(pivot, "V")) {
if (lsame_(direct, "F")) {
i__1 = *n - 1;
for (j = 1; j <= i__1; ++j) {
ctemp = c__[j];
stemp = s[j];
if (ctemp != 1. || stemp != 0.) {
i__2 = *m;
for (i__ = 1; i__ <= i__2; ++i__) {
i__3 = i__ + (j + 1) * a_dim1;
temp.r = a[i__3].r, temp.i = a[i__3].i;
i__3 = i__ + (j + 1) * a_dim1;
z__2.r = ctemp * temp.r, z__2.i = ctemp * temp.i;
i__4 = i__ + j * a_dim1;
z__3.r = stemp * a[i__4].r, z__3.i = stemp * a[
i__4].i;
z__1.r = z__2.r - z__3.r, z__1.i = z__2.i -
z__3.i;
a[i__3].r = z__1.r, a[i__3].i = z__1.i;
i__3 = i__ + j * a_dim1;
z__2.r = stemp * temp.r, z__2.i = stemp * temp.i;
i__4 = i__ + j * a_dim1;
z__3.r = ctemp * a[i__4].r, z__3.i = ctemp * a[
i__4].i;
z__1.r = z__2.r + z__3.r, z__1.i = z__2.i +
z__3.i;
a[i__3].r = z__1.r, a[i__3].i = z__1.i;
/* L130: */
}
}
/* L140: */
}
} else if (lsame_(direct, "B")) {
for (j = *n - 1; j >= 1; --j) {
ctemp = c__[j];
stemp = s[j];
if (ctemp != 1. || stemp != 0.) {
i__1 = *m;
for (i__ = 1; i__ <= i__1; ++i__) {
i__2 = i__ + (j + 1) * a_dim1;
temp.r = a[i__2].r, temp.i = a[i__2].i;
i__2 = i__ + (j + 1) * a_dim1;
z__2.r = ctemp * temp.r, z__2.i = ctemp * temp.i;
i__3 = i__ + j * a_dim1;
z__3.r = stemp * a[i__3].r, z__3.i = stemp * a[
i__3].i;
z__1.r = z__2.r - z__3.r, z__1.i = z__2.i -
z__3.i;
a[i__2].r = z__1.r, a[i__2].i = z__1.i;
i__2 = i__ + j * a_dim1;
z__2.r = stemp * temp.r, z__2.i = stemp * temp.i;
i__3 = i__ + j * a_dim1;
z__3.r = ctemp * a[i__3].r, z__3.i = ctemp * a[
i__3].i;
z__1.r = z__2.r + z__3.r, z__1.i = z__2.i +
z__3.i;
a[i__2].r = z__1.r, a[i__2].i = z__1.i;
/* L150: */
}
}
/* L160: */
}
}
} else if (lsame_(pivot, "T")) {
if (lsame_(direct, "F")) {
i__1 = *n;
for (j = 2; j <= i__1; ++j) {
ctemp = c__[j - 1];
stemp = s[j - 1];
if (ctemp != 1. || stemp != 0.) {
i__2 = *m;
for (i__ = 1; i__ <= i__2; ++i__) {
i__3 = i__ + j * a_dim1;
temp.r = a[i__3].r, temp.i = a[i__3].i;
i__3 = i__ + j * a_dim1;
z__2.r = ctemp * temp.r, z__2.i = ctemp * temp.i;
i__4 = i__ + a_dim1;
z__3.r = stemp * a[i__4].r, z__3.i = stemp * a[
i__4].i;
z__1.r = z__2.r - z__3.r, z__1.i = z__2.i -
z__3.i;
a[i__3].r = z__1.r, a[i__3].i = z__1.i;
i__3 = i__ + a_dim1;
z__2.r = stemp * temp.r, z__2.i = stemp * temp.i;
i__4 = i__ + a_dim1;
z__3.r = ctemp * a[i__4].r, z__3.i = ctemp * a[
i__4].i;
z__1.r = z__2.r + z__3.r, z__1.i = z__2.i +
z__3.i;
a[i__3].r = z__1.r, a[i__3].i = z__1.i;
/* L170: */
}
}
/* L180: */
}
} else if (lsame_(direct, "B")) {
for (j = *n; j >= 2; --j) {
ctemp = c__[j - 1];
stemp = s[j - 1];
if (ctemp != 1. || stemp != 0.) {
i__1 = *m;
for (i__ = 1; i__ <= i__1; ++i__) {
i__2 = i__ + j * a_dim1;
temp.r = a[i__2].r, temp.i = a[i__2].i;
i__2 = i__ + j * a_dim1;
z__2.r = ctemp * temp.r, z__2.i = ctemp * temp.i;
i__3 = i__ + a_dim1;
z__3.r = stemp * a[i__3].r, z__3.i = stemp * a[
i__3].i;
z__1.r = z__2.r - z__3.r, z__1.i = z__2.i -
z__3.i;
a[i__2].r = z__1.r, a[i__2].i = z__1.i;
i__2 = i__ + a_dim1;
z__2.r = stemp * temp.r, z__2.i = stemp * temp.i;
i__3 = i__ + a_dim1;
z__3.r = ctemp * a[i__3].r, z__3.i = ctemp * a[
i__3].i;
z__1.r = z__2.r + z__3.r, z__1.i = z__2.i +
z__3.i;
a[i__2].r = z__1.r, a[i__2].i = z__1.i;
/* L190: */
}
}
/* L200: */
}
}
} else if (lsame_(pivot, "B")) {
if (lsame_(direct, "F")) {
i__1 = *n - 1;
for (j = 1; j <= i__1; ++j) {
ctemp = c__[j];
stemp = s[j];
if (ctemp != 1. || stemp != 0.) {
i__2 = *m;
for (i__ = 1; i__ <= i__2; ++i__) {
i__3 = i__ + j * a_dim1;
temp.r = a[i__3].r, temp.i = a[i__3].i;
i__3 = i__ + j * a_dim1;
i__4 = i__ + *n * a_dim1;
z__2.r = stemp * a[i__4].r, z__2.i = stemp * a[
i__4].i;
z__3.r = ctemp * temp.r, z__3.i = ctemp * temp.i;
z__1.r = z__2.r + z__3.r, z__1.i = z__2.i +
z__3.i;
a[i__3].r = z__1.r, a[i__3].i = z__1.i;
i__3 = i__ + *n * a_dim1;
i__4 = i__ + *n * a_dim1;
z__2.r = ctemp * a[i__4].r, z__2.i = ctemp * a[
i__4].i;
z__3.r = stemp * temp.r, z__3.i = stemp * temp.i;
z__1.r = z__2.r - z__3.r, z__1.i = z__2.i -
z__3.i;
a[i__3].r = z__1.r, a[i__3].i = z__1.i;
/* L210: */
}
}
/* L220: */
}
} else if (lsame_(direct, "B")) {
for (j = *n - 1; j >= 1; --j) {
ctemp = c__[j];
stemp = s[j];
if (ctemp != 1. || stemp != 0.) {
i__1 = *m;
for (i__ = 1; i__ <= i__1; ++i__) {
i__2 = i__ + j * a_dim1;
temp.r = a[i__2].r, temp.i = a[i__2].i;
i__2 = i__ + j * a_dim1;
i__3 = i__ + *n * a_dim1;
z__2.r = stemp * a[i__3].r, z__2.i = stemp * a[
i__3].i;
z__3.r = ctemp * temp.r, z__3.i = ctemp * temp.i;
z__1.r = z__2.r + z__3.r, z__1.i = z__2.i +
z__3.i;
a[i__2].r = z__1.r, a[i__2].i = z__1.i;
i__2 = i__ + *n * a_dim1;
i__3 = i__ + *n * a_dim1;
z__2.r = ctemp * a[i__3].r, z__2.i = ctemp * a[
i__3].i;
z__3.r = stemp * temp.r, z__3.i = stemp * temp.i;
z__1.r = z__2.r - z__3.r, z__1.i = z__2.i -
z__3.i;
a[i__2].r = z__1.r, a[i__2].i = z__1.i;
/* L230: */
}
}
/* L240: */
}
}
}
}
return;
/* End of ZLASR */
} /* zlasr_ */
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