14 typedef long long BLASLONG;
15 typedef unsigned long long BLASULONG;
17 typedef long BLASLONG;
18 typedef unsigned long BLASULONG;
22 typedef BLASLONG blasint;
24 #define blasabs(x) llabs(x)
26 #define blasabs(x) labs(x)
30 #define blasabs(x) abs(x)
33 typedef blasint integer;
35 typedef unsigned int uinteger;
36 typedef char *address;
37 typedef short int shortint;
39 typedef double doublereal;
40 typedef struct { real r, i; } complex;
41 typedef struct { doublereal r, i; } doublecomplex;
43 static inline _Fcomplex Cf(complex *z) {_Fcomplex zz={z->r , z->i}; return zz;}
44 static inline _Dcomplex Cd(doublecomplex *z) {_Dcomplex zz={z->r , z->i};return zz;}
45 static inline _Fcomplex * _pCf(complex *z) {return (_Fcomplex*)z;}
46 static inline _Dcomplex * _pCd(doublecomplex *z) {return (_Dcomplex*)z;}
48 static inline _Complex float Cf(complex *z) {return z->r + z->i*_Complex_I;}
49 static inline _Complex double Cd(doublecomplex *z) {return z->r + z->i*_Complex_I;}
50 static inline _Complex float * _pCf(complex *z) {return (_Complex float*)z;}
51 static inline _Complex double * _pCd(doublecomplex *z) {return (_Complex double*)z;}
53 #define pCf(z) (*_pCf(z))
54 #define pCd(z) (*_pCd(z))
56 typedef short int shortlogical;
57 typedef char logical1;
58 typedef char integer1;
63 /* Extern is for use with -E */
74 /*external read, write*/
83 /*internal read, write*/
113 /*rewind, backspace, endfile*/
125 ftnint *inex; /*parameters in standard's order*/
151 union Multitype { /* for multiple entry points */
162 typedef union Multitype Multitype;
164 struct Vardesc { /* for Namelist */
170 typedef struct Vardesc Vardesc;
177 typedef struct Namelist Namelist;
179 #define abs(x) ((x) >= 0 ? (x) : -(x))
180 #define dabs(x) (fabs(x))
181 #define f2cmin(a,b) ((a) <= (b) ? (a) : (b))
182 #define f2cmax(a,b) ((a) >= (b) ? (a) : (b))
183 #define dmin(a,b) (f2cmin(a,b))
184 #define dmax(a,b) (f2cmax(a,b))
185 #define bit_test(a,b) ((a) >> (b) & 1)
186 #define bit_clear(a,b) ((a) & ~((uinteger)1 << (b)))
187 #define bit_set(a,b) ((a) | ((uinteger)1 << (b)))
189 #define abort_() { sig_die("Fortran abort routine called", 1); }
190 #define c_abs(z) (cabsf(Cf(z)))
191 #define c_cos(R,Z) { pCf(R)=ccos(Cf(Z)); }
193 #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]);}
194 #define z_div(c, a, b) {Cd(c)._Val[0] = (Cd(a)._Val[0]/Cd(b)._Val[0]); Cd(c)._Val[1]=(Cd(a)._Val[1]/df(b)._Val[1]);}
196 #define c_div(c, a, b) {pCf(c) = Cf(a)/Cf(b);}
197 #define z_div(c, a, b) {pCd(c) = Cd(a)/Cd(b);}
199 #define c_exp(R, Z) {pCf(R) = cexpf(Cf(Z));}
200 #define c_log(R, Z) {pCf(R) = clogf(Cf(Z));}
201 #define c_sin(R, Z) {pCf(R) = csinf(Cf(Z));}
202 //#define c_sqrt(R, Z) {*(R) = csqrtf(Cf(Z));}
203 #define c_sqrt(R, Z) {pCf(R) = csqrtf(Cf(Z));}
204 #define d_abs(x) (fabs(*(x)))
205 #define d_acos(x) (acos(*(x)))
206 #define d_asin(x) (asin(*(x)))
207 #define d_atan(x) (atan(*(x)))
208 #define d_atn2(x, y) (atan2(*(x),*(y)))
209 #define d_cnjg(R, Z) { pCd(R) = conj(Cd(Z)); }
210 #define r_cnjg(R, Z) { pCf(R) = conjf(Cf(Z)); }
211 #define d_cos(x) (cos(*(x)))
212 #define d_cosh(x) (cosh(*(x)))
213 #define d_dim(__a, __b) ( *(__a) > *(__b) ? *(__a) - *(__b) : 0.0 )
214 #define d_exp(x) (exp(*(x)))
215 #define d_imag(z) (cimag(Cd(z)))
216 #define r_imag(z) (cimagf(Cf(z)))
217 #define d_int(__x) (*(__x)>0 ? floor(*(__x)) : -floor(- *(__x)))
218 #define r_int(__x) (*(__x)>0 ? floor(*(__x)) : -floor(- *(__x)))
219 #define d_lg10(x) ( 0.43429448190325182765 * log(*(x)) )
220 #define r_lg10(x) ( 0.43429448190325182765 * log(*(x)) )
221 #define d_log(x) (log(*(x)))
222 #define d_mod(x, y) (fmod(*(x), *(y)))
223 #define u_nint(__x) ((__x)>=0 ? floor((__x) + .5) : -floor(.5 - (__x)))
224 #define d_nint(x) u_nint(*(x))
225 #define u_sign(__a,__b) ((__b) >= 0 ? ((__a) >= 0 ? (__a) : -(__a)) : -((__a) >= 0 ? (__a) : -(__a)))
226 #define d_sign(a,b) u_sign(*(a),*(b))
227 #define r_sign(a,b) u_sign(*(a),*(b))
228 #define d_sin(x) (sin(*(x)))
229 #define d_sinh(x) (sinh(*(x)))
230 #define d_sqrt(x) (sqrt(*(x)))
231 #define d_tan(x) (tan(*(x)))
232 #define d_tanh(x) (tanh(*(x)))
233 #define i_abs(x) abs(*(x))
234 #define i_dnnt(x) ((integer)u_nint(*(x)))
235 #define i_len(s, n) (n)
236 #define i_nint(x) ((integer)u_nint(*(x)))
237 #define i_sign(a,b) ((integer)u_sign((integer)*(a),(integer)*(b)))
238 #define pow_dd(ap, bp) ( pow(*(ap), *(bp)))
239 #define pow_si(B,E) spow_ui(*(B),*(E))
240 #define pow_ri(B,E) spow_ui(*(B),*(E))
241 #define pow_di(B,E) dpow_ui(*(B),*(E))
242 #define pow_zi(p, a, b) {pCd(p) = zpow_ui(Cd(a), *(b));}
243 #define pow_ci(p, a, b) {pCf(p) = cpow_ui(Cf(a), *(b));}
244 #define pow_zz(R,A,B) {pCd(R) = cpow(Cd(A),*(B));}
245 #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++ = ' '; }
246 #define s_cmp(a,b,c,d) ((integer)strncmp((a),(b),f2cmin((c),(d))))
247 #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]; }
248 #define sig_die(s, kill) { exit(1); }
249 #define s_stop(s, n) {exit(0);}
250 static char junk[] = "\n@(#)LIBF77 VERSION 19990503\n";
251 #define z_abs(z) (cabs(Cd(z)))
252 #define z_exp(R, Z) {pCd(R) = cexp(Cd(Z));}
253 #define z_sqrt(R, Z) {pCd(R) = csqrt(Cd(Z));}
254 #define myexit_() break;
255 #define mycycle() continue;
256 #define myceiling(w) {ceil(w)}
257 #define myhuge(w) {HUGE_VAL}
258 //#define mymaxloc_(w,s,e,n) {if (sizeof(*(w)) == sizeof(double)) dmaxloc_((w),*(s),*(e),n); else dmaxloc_((w),*(s),*(e),n);}
259 #define mymaxloc(w,s,e,n) {dmaxloc_(w,*(s),*(e),n)}
261 /* procedure parameter types for -A and -C++ */
263 #define F2C_proc_par_types 1
265 typedef logical (*L_fp)(...);
267 typedef logical (*L_fp)();
270 static float spow_ui(float x, integer n) {
271 float pow=1.0; unsigned long int u;
273 if(n < 0) n = -n, x = 1/x;
282 static double dpow_ui(double x, integer n) {
283 double pow=1.0; unsigned long int u;
285 if(n < 0) n = -n, x = 1/x;
295 static _Fcomplex cpow_ui(complex x, integer n) {
296 complex pow={1.0,0.0}; unsigned long int u;
298 if(n < 0) n = -n, x.r = 1/x.r, x.i=1/x.i;
300 if(u & 01) pow.r *= x.r, pow.i *= x.i;
301 if(u >>= 1) x.r *= x.r, x.i *= x.i;
305 _Fcomplex p={pow.r, pow.i};
309 static _Complex float cpow_ui(_Complex float x, integer n) {
310 _Complex float pow=1.0; unsigned long int u;
312 if(n < 0) n = -n, x = 1/x;
323 static _Dcomplex zpow_ui(_Dcomplex x, integer n) {
324 _Dcomplex pow={1.0,0.0}; unsigned long int u;
326 if(n < 0) n = -n, x._Val[0] = 1/x._Val[0], x._Val[1] =1/x._Val[1];
328 if(u & 01) pow._Val[0] *= x._Val[0], pow._Val[1] *= x._Val[1];
329 if(u >>= 1) x._Val[0] *= x._Val[0], x._Val[1] *= x._Val[1];
333 _Dcomplex p = {pow._Val[0], pow._Val[1]};
337 static _Complex double zpow_ui(_Complex double x, integer n) {
338 _Complex double pow=1.0; unsigned long int u;
340 if(n < 0) n = -n, x = 1/x;
350 static integer pow_ii(integer x, integer n) {
351 integer pow; unsigned long int u;
353 if (n == 0 || x == 1) pow = 1;
354 else if (x != -1) pow = x == 0 ? 1/x : 0;
357 if ((n > 0) || !(n == 0 || x == 1 || x != -1)) {
367 static integer dmaxloc_(double *w, integer s, integer e, integer *n)
369 double m; integer i, mi;
370 for(m=w[s-1], mi=s, i=s+1; i<=e; i++)
371 if (w[i-1]>m) mi=i ,m=w[i-1];
374 static integer smaxloc_(float *w, integer s, integer e, integer *n)
376 float m; integer i, mi;
377 for(m=w[s-1], mi=s, i=s+1; i<=e; i++)
378 if (w[i-1]>m) mi=i ,m=w[i-1];
381 static inline void cdotc_(complex *z, integer *n_, complex *x, integer *incx_, complex *y, integer *incy_) {
382 integer n = *n_, incx = *incx_, incy = *incy_, i;
384 _Fcomplex zdotc = {0.0, 0.0};
385 if (incx == 1 && incy == 1) {
386 for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
387 zdotc._Val[0] += conjf(Cf(&x[i]))._Val[0] * Cf(&y[i])._Val[0];
388 zdotc._Val[1] += conjf(Cf(&x[i]))._Val[1] * Cf(&y[i])._Val[1];
391 for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
392 zdotc._Val[0] += conjf(Cf(&x[i*incx]))._Val[0] * Cf(&y[i*incy])._Val[0];
393 zdotc._Val[1] += conjf(Cf(&x[i*incx]))._Val[1] * Cf(&y[i*incy])._Val[1];
399 _Complex float zdotc = 0.0;
400 if (incx == 1 && incy == 1) {
401 for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
402 zdotc += conjf(Cf(&x[i])) * Cf(&y[i]);
405 for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
406 zdotc += conjf(Cf(&x[i*incx])) * Cf(&y[i*incy]);
412 static inline void zdotc_(doublecomplex *z, integer *n_, doublecomplex *x, integer *incx_, doublecomplex *y, integer *incy_) {
413 integer n = *n_, incx = *incx_, incy = *incy_, i;
415 _Dcomplex zdotc = {0.0, 0.0};
416 if (incx == 1 && incy == 1) {
417 for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
418 zdotc._Val[0] += conj(Cd(&x[i]))._Val[0] * Cd(&y[i])._Val[0];
419 zdotc._Val[1] += conj(Cd(&x[i]))._Val[1] * Cd(&y[i])._Val[1];
422 for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
423 zdotc._Val[0] += conj(Cd(&x[i*incx]))._Val[0] * Cd(&y[i*incy])._Val[0];
424 zdotc._Val[1] += conj(Cd(&x[i*incx]))._Val[1] * Cd(&y[i*incy])._Val[1];
430 _Complex double zdotc = 0.0;
431 if (incx == 1 && incy == 1) {
432 for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
433 zdotc += conj(Cd(&x[i])) * Cd(&y[i]);
436 for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
437 zdotc += conj(Cd(&x[i*incx])) * Cd(&y[i*incy]);
443 static inline void cdotu_(complex *z, integer *n_, complex *x, integer *incx_, complex *y, integer *incy_) {
444 integer n = *n_, incx = *incx_, incy = *incy_, i;
446 _Fcomplex zdotc = {0.0, 0.0};
447 if (incx == 1 && incy == 1) {
448 for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
449 zdotc._Val[0] += Cf(&x[i])._Val[0] * Cf(&y[i])._Val[0];
450 zdotc._Val[1] += Cf(&x[i])._Val[1] * Cf(&y[i])._Val[1];
453 for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
454 zdotc._Val[0] += Cf(&x[i*incx])._Val[0] * Cf(&y[i*incy])._Val[0];
455 zdotc._Val[1] += Cf(&x[i*incx])._Val[1] * Cf(&y[i*incy])._Val[1];
461 _Complex float zdotc = 0.0;
462 if (incx == 1 && incy == 1) {
463 for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
464 zdotc += Cf(&x[i]) * Cf(&y[i]);
467 for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
468 zdotc += Cf(&x[i*incx]) * Cf(&y[i*incy]);
474 static inline void zdotu_(doublecomplex *z, integer *n_, doublecomplex *x, integer *incx_, doublecomplex *y, integer *incy_) {
475 integer n = *n_, incx = *incx_, incy = *incy_, i;
477 _Dcomplex zdotc = {0.0, 0.0};
478 if (incx == 1 && incy == 1) {
479 for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
480 zdotc._Val[0] += Cd(&x[i])._Val[0] * Cd(&y[i])._Val[0];
481 zdotc._Val[1] += Cd(&x[i])._Val[1] * Cd(&y[i])._Val[1];
484 for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
485 zdotc._Val[0] += Cd(&x[i*incx])._Val[0] * Cd(&y[i*incy])._Val[0];
486 zdotc._Val[1] += Cd(&x[i*incx])._Val[1] * Cd(&y[i*incy])._Val[1];
492 _Complex double zdotc = 0.0;
493 if (incx == 1 && incy == 1) {
494 for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
495 zdotc += Cd(&x[i]) * Cd(&y[i]);
498 for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
499 zdotc += Cd(&x[i*incx]) * Cd(&y[i*incy]);
505 /* -- translated by f2c (version 20000121).
506 You must link the resulting object file with the libraries:
507 -lf2c -lm (in that order)
511 /* -- translated by f2c (version 20000121).
512 You must link the resulting object file with the libraries:
513 -lf2c -lm (in that order)
518 /* -- translated by f2c (version 20000121).
519 You must link the resulting object file with the libraries:
520 -lf2c -lm (in that order)
525 /* Table of constant values */
527 static integer c__1 = 1;
529 /* > \brief \b CGEBD2 reduces a general matrix to bidiagonal form using an unblocked algorithm. */
531 /* =========== DOCUMENTATION =========== */
533 /* Online html documentation available at */
534 /* http://www.netlib.org/lapack/explore-html/ */
537 /* > Download CGEBD2 + dependencies */
538 /* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/cgebd2.
541 /* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/cgebd2.
544 /* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/cgebd2.
552 /* SUBROUTINE CGEBD2( M, N, A, LDA, D, E, TAUQ, TAUP, WORK, INFO ) */
554 /* INTEGER INFO, LDA, M, N */
555 /* REAL D( * ), E( * ) */
556 /* COMPLEX A( LDA, * ), TAUP( * ), TAUQ( * ), WORK( * ) */
559 /* > \par Purpose: */
564 /* > CGEBD2 reduces a complex general m by n matrix A to upper or lower */
565 /* > real bidiagonal form B by a unitary transformation: Q**H * A * P = B. */
567 /* > If m >= n, B is upper bidiagonal; if m < n, B is lower bidiagonal. */
576 /* > The number of rows in the matrix A. M >= 0. */
582 /* > The number of columns in the matrix A. N >= 0. */
585 /* > \param[in,out] A */
587 /* > A is COMPLEX array, dimension (LDA,N) */
588 /* > On entry, the m by n general matrix to be reduced. */
590 /* > if m >= n, the diagonal and the first superdiagonal are */
591 /* > overwritten with the upper bidiagonal matrix B; the */
592 /* > elements below the diagonal, with the array TAUQ, represent */
593 /* > the unitary matrix Q as a product of elementary */
594 /* > reflectors, and the elements above the first superdiagonal, */
595 /* > with the array TAUP, represent the unitary matrix P as */
596 /* > a product of elementary reflectors; */
597 /* > if m < n, the diagonal and the first subdiagonal are */
598 /* > overwritten with the lower bidiagonal matrix B; the */
599 /* > elements below the first subdiagonal, with the array TAUQ, */
600 /* > represent the unitary matrix Q as a product of */
601 /* > elementary reflectors, and the elements above the diagonal, */
602 /* > with the array TAUP, represent the unitary matrix P as */
603 /* > a product of elementary reflectors. */
604 /* > See Further Details. */
607 /* > \param[in] LDA */
609 /* > LDA is INTEGER */
610 /* > The leading dimension of the array A. LDA >= f2cmax(1,M). */
613 /* > \param[out] D */
615 /* > D is REAL array, dimension (f2cmin(M,N)) */
616 /* > The diagonal elements of the bidiagonal matrix B: */
617 /* > D(i) = A(i,i). */
620 /* > \param[out] E */
622 /* > E is REAL array, dimension (f2cmin(M,N)-1) */
623 /* > The off-diagonal elements of the bidiagonal matrix B: */
624 /* > if m >= n, E(i) = A(i,i+1) for i = 1,2,...,n-1; */
625 /* > if m < n, E(i) = A(i+1,i) for i = 1,2,...,m-1. */
628 /* > \param[out] TAUQ */
630 /* > TAUQ is COMPLEX array, dimension (f2cmin(M,N)) */
631 /* > The scalar factors of the elementary reflectors which */
632 /* > represent the unitary matrix Q. See Further Details. */
635 /* > \param[out] TAUP */
637 /* > TAUP is COMPLEX array, dimension (f2cmin(M,N)) */
638 /* > The scalar factors of the elementary reflectors which */
639 /* > represent the unitary matrix P. See Further Details. */
642 /* > \param[out] WORK */
644 /* > WORK is COMPLEX array, dimension (f2cmax(M,N)) */
647 /* > \param[out] INFO */
649 /* > INFO is INTEGER */
650 /* > = 0: successful exit */
651 /* > < 0: if INFO = -i, the i-th argument had an illegal value. */
657 /* > \author Univ. of Tennessee */
658 /* > \author Univ. of California Berkeley */
659 /* > \author Univ. of Colorado Denver */
660 /* > \author NAG Ltd. */
662 /* > \date June 2017 */
664 /* > \ingroup complexGEcomputational */
665 /* @precisions normal c -> s d z */
667 /* > \par Further Details: */
668 /* ===================== */
672 /* > The matrices Q and P are represented as products of elementary */
677 /* > Q = H(1) H(2) . . . H(n) and P = G(1) G(2) . . . G(n-1) */
679 /* > Each H(i) and G(i) has the form: */
681 /* > H(i) = I - tauq * v * v**H and G(i) = I - taup * u * u**H */
683 /* > where tauq and taup are complex scalars, and v and u are complex */
684 /* > vectors; v(1:i-1) = 0, v(i) = 1, and v(i+1:m) is stored on exit in */
685 /* > A(i+1:m,i); u(1:i) = 0, u(i+1) = 1, and u(i+2:n) is stored on exit in */
686 /* > A(i,i+2:n); tauq is stored in TAUQ(i) and taup in TAUP(i). */
690 /* > Q = H(1) H(2) . . . H(m-1) and P = G(1) G(2) . . . G(m) */
692 /* > Each H(i) and G(i) has the form: */
694 /* > H(i) = I - tauq * v * v**H and G(i) = I - taup * u * u**H */
696 /* > where tauq and taup are complex scalars, v and u are complex vectors; */
697 /* > v(1:i) = 0, v(i+1) = 1, and v(i+2:m) is stored on exit in A(i+2:m,i); */
698 /* > u(1:i-1) = 0, u(i) = 1, and u(i+1:n) is stored on exit in A(i,i+1:n); */
699 /* > tauq is stored in TAUQ(i) and taup in TAUP(i). */
701 /* > The contents of A on exit are illustrated by the following examples: */
703 /* > m = 6 and n = 5 (m > n): m = 5 and n = 6 (m < n): */
705 /* > ( d e u1 u1 u1 ) ( d u1 u1 u1 u1 u1 ) */
706 /* > ( v1 d e u2 u2 ) ( e d u2 u2 u2 u2 ) */
707 /* > ( v1 v2 d e u3 ) ( v1 e d u3 u3 u3 ) */
708 /* > ( v1 v2 v3 d e ) ( v1 v2 e d u4 u4 ) */
709 /* > ( v1 v2 v3 v4 d ) ( v1 v2 v3 e d u5 ) */
710 /* > ( v1 v2 v3 v4 v5 ) */
712 /* > where d and e denote diagonal and off-diagonal elements of B, vi */
713 /* > denotes an element of the vector defining H(i), and ui an element of */
714 /* > the vector defining G(i). */
717 /* ===================================================================== */
718 /* Subroutine */ int cgebd2_(integer *m, integer *n, complex *a, integer *lda,
719 real *d__, real *e, complex *tauq, complex *taup, complex *work,
722 /* System generated locals */
723 integer a_dim1, a_offset, i__1, i__2, i__3;
726 /* Local variables */
729 extern /* Subroutine */ int clarf_(char *, integer *, integer *, complex *
730 , integer *, complex *, complex *, integer *, complex *),
731 clarfg_(integer *, complex *, complex *, integer *, complex *),
732 clacgv_(integer *, complex *, integer *), xerbla_(char *, integer
736 /* -- LAPACK computational routine (version 3.7.1) -- */
737 /* -- LAPACK is a software package provided by Univ. of Tennessee, -- */
738 /* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- */
742 /* ===================================================================== */
745 /* Test the input parameters */
747 /* Parameter adjustments */
749 a_offset = 1 + a_dim1 * 1;
763 } else if (*lda < f2cmax(1,*m)) {
768 xerbla_("CGEBD2", &i__1, (ftnlen)6);
774 /* Reduce to upper bidiagonal form */
777 for (i__ = 1; i__ <= i__1; ++i__) {
779 /* Generate elementary reflector H(i) to annihilate A(i+1:m,i) */
781 i__2 = i__ + i__ * a_dim1;
782 alpha.r = a[i__2].r, alpha.i = a[i__2].i;
786 clarfg_(&i__2, &alpha, &a[f2cmin(i__3,*m) + i__ * a_dim1], &c__1, &
790 i__2 = i__ + i__ * a_dim1;
791 a[i__2].r = 1.f, a[i__2].i = 0.f;
793 /* Apply H(i)**H to A(i:m,i+1:n) from the left */
798 r_cnjg(&q__1, &tauq[i__]);
799 clarf_("Left", &i__2, &i__3, &a[i__ + i__ * a_dim1], &c__1, &
800 q__1, &a[i__ + (i__ + 1) * a_dim1], lda, &work[1]);
802 i__2 = i__ + i__ * a_dim1;
804 a[i__2].r = d__[i__3], a[i__2].i = 0.f;
808 /* Generate elementary reflector G(i) to annihilate */
812 clacgv_(&i__2, &a[i__ + (i__ + 1) * a_dim1], lda);
813 i__2 = i__ + (i__ + 1) * a_dim1;
814 alpha.r = a[i__2].r, alpha.i = a[i__2].i;
818 clarfg_(&i__2, &alpha, &a[i__ + f2cmin(i__3,*n) * a_dim1], lda, &
822 i__2 = i__ + (i__ + 1) * a_dim1;
823 a[i__2].r = 1.f, a[i__2].i = 0.f;
825 /* Apply G(i) to A(i+1:m,i+1:n) from the right */
829 clarf_("Right", &i__2, &i__3, &a[i__ + (i__ + 1) * a_dim1],
830 lda, &taup[i__], &a[i__ + 1 + (i__ + 1) * a_dim1],
833 clacgv_(&i__2, &a[i__ + (i__ + 1) * a_dim1], lda);
834 i__2 = i__ + (i__ + 1) * a_dim1;
836 a[i__2].r = e[i__3], a[i__2].i = 0.f;
839 taup[i__2].r = 0.f, taup[i__2].i = 0.f;
845 /* Reduce to lower bidiagonal form */
848 for (i__ = 1; i__ <= i__1; ++i__) {
850 /* Generate elementary reflector G(i) to annihilate A(i,i+1:n) */
853 clacgv_(&i__2, &a[i__ + i__ * a_dim1], lda);
854 i__2 = i__ + i__ * a_dim1;
855 alpha.r = a[i__2].r, alpha.i = a[i__2].i;
859 clarfg_(&i__2, &alpha, &a[i__ + f2cmin(i__3,*n) * a_dim1], lda, &
863 i__2 = i__ + i__ * a_dim1;
864 a[i__2].r = 1.f, a[i__2].i = 0.f;
866 /* Apply G(i) to A(i+1:m,i:n) from the right */
871 clarf_("Right", &i__2, &i__3, &a[i__ + i__ * a_dim1], lda, &
872 taup[i__], &a[i__ + 1 + i__ * a_dim1], lda, &work[1]);
875 clacgv_(&i__2, &a[i__ + i__ * a_dim1], lda);
876 i__2 = i__ + i__ * a_dim1;
878 a[i__2].r = d__[i__3], a[i__2].i = 0.f;
882 /* Generate elementary reflector H(i) to annihilate */
885 i__2 = i__ + 1 + i__ * a_dim1;
886 alpha.r = a[i__2].r, alpha.i = a[i__2].i;
890 clarfg_(&i__2, &alpha, &a[f2cmin(i__3,*m) + i__ * a_dim1], &c__1,
894 i__2 = i__ + 1 + i__ * a_dim1;
895 a[i__2].r = 1.f, a[i__2].i = 0.f;
897 /* Apply H(i)**H to A(i+1:m,i+1:n) from the left */
901 r_cnjg(&q__1, &tauq[i__]);
902 clarf_("Left", &i__2, &i__3, &a[i__ + 1 + i__ * a_dim1], &
903 c__1, &q__1, &a[i__ + 1 + (i__ + 1) * a_dim1], lda, &
905 i__2 = i__ + 1 + i__ * a_dim1;
907 a[i__2].r = e[i__3], a[i__2].i = 0.f;
910 tauq[i__2].r = 0.f, tauq[i__2].i = 0.f;