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zuncsd2by1.c 47 kB

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  1. #include <math.h>
  2. #include <stdlib.h>
  3. #include <string.h>
  4. #include <stdio.h>
  5. #include <complex.h>
  6. #ifdef complex
  7. #undef complex
  8. #endif
  9. #ifdef I
  10. #undef I
  11. #endif
  12. #if defined(_WIN64)
  13. typedef long long BLASLONG;
  14. typedef unsigned long long BLASULONG;
  15. #else
  16. typedef long BLASLONG;
  17. typedef unsigned long BLASULONG;
  18. #endif
  19. #ifdef LAPACK_ILP64
  20. typedef BLASLONG blasint;
  21. #if defined(_WIN64)
  22. #define blasabs(x) llabs(x)
  23. #else
  24. #define blasabs(x) labs(x)
  25. #endif
  26. #else
  27. typedef int blasint;
  28. #define blasabs(x) abs(x)
  29. #endif
  30. typedef blasint integer;
  31. typedef unsigned int uinteger;
  32. typedef char *address;
  33. typedef short int shortint;
  34. typedef float real;
  35. typedef double doublereal;
  36. typedef struct { real r, i; } complex;
  37. typedef struct { doublereal r, i; } doublecomplex;
  38. #ifdef _MSC_VER
  39. static inline _Fcomplex Cf(complex *z) {_Fcomplex zz={z->r , z->i}; return zz;}
  40. static inline _Dcomplex Cd(doublecomplex *z) {_Dcomplex zz={z->r , z->i};return zz;}
  41. static inline _Fcomplex * _pCf(complex *z) {return (_Fcomplex*)z;}
  42. static inline _Dcomplex * _pCd(doublecomplex *z) {return (_Dcomplex*)z;}
  43. #else
  44. static inline _Complex float Cf(complex *z) {return z->r + z->i*_Complex_I;}
  45. static inline _Complex double Cd(doublecomplex *z) {return z->r + z->i*_Complex_I;}
  46. static inline _Complex float * _pCf(complex *z) {return (_Complex float*)z;}
  47. static inline _Complex double * _pCd(doublecomplex *z) {return (_Complex double*)z;}
  48. #endif
  49. #define pCf(z) (*_pCf(z))
  50. #define pCd(z) (*_pCd(z))
  51. typedef int logical;
  52. typedef short int shortlogical;
  53. typedef char logical1;
  54. typedef char integer1;
  55. #define TRUE_ (1)
  56. #define FALSE_ (0)
  57. /* Extern is for use with -E */
  58. #ifndef Extern
  59. #define Extern extern
  60. #endif
  61. /* I/O stuff */
  62. typedef int flag;
  63. typedef int ftnlen;
  64. typedef int ftnint;
  65. /*external read, write*/
  66. typedef struct
  67. { flag cierr;
  68. ftnint ciunit;
  69. flag ciend;
  70. char *cifmt;
  71. ftnint cirec;
  72. } cilist;
  73. /*internal read, write*/
  74. typedef struct
  75. { flag icierr;
  76. char *iciunit;
  77. flag iciend;
  78. char *icifmt;
  79. ftnint icirlen;
  80. ftnint icirnum;
  81. } icilist;
  82. /*open*/
  83. typedef struct
  84. { flag oerr;
  85. ftnint ounit;
  86. char *ofnm;
  87. ftnlen ofnmlen;
  88. char *osta;
  89. char *oacc;
  90. char *ofm;
  91. ftnint orl;
  92. char *oblnk;
  93. } olist;
  94. /*close*/
  95. typedef struct
  96. { flag cerr;
  97. ftnint cunit;
  98. char *csta;
  99. } cllist;
  100. /*rewind, backspace, endfile*/
  101. typedef struct
  102. { flag aerr;
  103. ftnint aunit;
  104. } alist;
  105. /* inquire */
  106. typedef struct
  107. { flag inerr;
  108. ftnint inunit;
  109. char *infile;
  110. ftnlen infilen;
  111. ftnint *inex; /*parameters in standard's order*/
  112. ftnint *inopen;
  113. ftnint *innum;
  114. ftnint *innamed;
  115. char *inname;
  116. ftnlen innamlen;
  117. char *inacc;
  118. ftnlen inacclen;
  119. char *inseq;
  120. ftnlen inseqlen;
  121. char *indir;
  122. ftnlen indirlen;
  123. char *infmt;
  124. ftnlen infmtlen;
  125. char *inform;
  126. ftnint informlen;
  127. char *inunf;
  128. ftnlen inunflen;
  129. ftnint *inrecl;
  130. ftnint *innrec;
  131. char *inblank;
  132. ftnlen inblanklen;
  133. } inlist;
  134. #define VOID void
  135. union Multitype { /* for multiple entry points */
  136. integer1 g;
  137. shortint h;
  138. integer i;
  139. /* longint j; */
  140. real r;
  141. doublereal d;
  142. complex c;
  143. doublecomplex z;
  144. };
  145. typedef union Multitype Multitype;
  146. struct Vardesc { /* for Namelist */
  147. char *name;
  148. char *addr;
  149. ftnlen *dims;
  150. int type;
  151. };
  152. typedef struct Vardesc Vardesc;
  153. struct Namelist {
  154. char *name;
  155. Vardesc **vars;
  156. int nvars;
  157. };
  158. typedef struct Namelist Namelist;
  159. #define abs(x) ((x) >= 0 ? (x) : -(x))
  160. #define dabs(x) (fabs(x))
  161. #define f2cmin(a,b) ((a) <= (b) ? (a) : (b))
  162. #define f2cmax(a,b) ((a) >= (b) ? (a) : (b))
  163. #define dmin(a,b) (f2cmin(a,b))
  164. #define dmax(a,b) (f2cmax(a,b))
  165. #define bit_test(a,b) ((a) >> (b) & 1)
  166. #define bit_clear(a,b) ((a) & ~((uinteger)1 << (b)))
  167. #define bit_set(a,b) ((a) | ((uinteger)1 << (b)))
  168. #define abort_() { sig_die("Fortran abort routine called", 1); }
  169. #define c_abs(z) (cabsf(Cf(z)))
  170. #define c_cos(R,Z) { pCf(R)=ccos(Cf(Z)); }
  171. #ifdef _MSC_VER
  172. #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]);}
  173. #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]);}
  174. #else
  175. #define c_div(c, a, b) {pCf(c) = Cf(a)/Cf(b);}
  176. #define z_div(c, a, b) {pCd(c) = Cd(a)/Cd(b);}
  177. #endif
  178. #define c_exp(R, Z) {pCf(R) = cexpf(Cf(Z));}
  179. #define c_log(R, Z) {pCf(R) = clogf(Cf(Z));}
  180. #define c_sin(R, Z) {pCf(R) = csinf(Cf(Z));}
  181. //#define c_sqrt(R, Z) {*(R) = csqrtf(Cf(Z));}
  182. #define c_sqrt(R, Z) {pCf(R) = csqrtf(Cf(Z));}
  183. #define d_abs(x) (fabs(*(x)))
  184. #define d_acos(x) (acos(*(x)))
  185. #define d_asin(x) (asin(*(x)))
  186. #define d_atan(x) (atan(*(x)))
  187. #define d_atn2(x, y) (atan2(*(x),*(y)))
  188. #define d_cnjg(R, Z) { pCd(R) = conj(Cd(Z)); }
  189. #define r_cnjg(R, Z) { pCf(R) = conjf(Cf(Z)); }
  190. #define d_cos(x) (cos(*(x)))
  191. #define d_cosh(x) (cosh(*(x)))
  192. #define d_dim(__a, __b) ( *(__a) > *(__b) ? *(__a) - *(__b) : 0.0 )
  193. #define d_exp(x) (exp(*(x)))
  194. #define d_imag(z) (cimag(Cd(z)))
  195. #define r_imag(z) (cimagf(Cf(z)))
  196. #define d_int(__x) (*(__x)>0 ? floor(*(__x)) : -floor(- *(__x)))
  197. #define r_int(__x) (*(__x)>0 ? floor(*(__x)) : -floor(- *(__x)))
  198. #define d_lg10(x) ( 0.43429448190325182765 * log(*(x)) )
  199. #define r_lg10(x) ( 0.43429448190325182765 * log(*(x)) )
  200. #define d_log(x) (log(*(x)))
  201. #define d_mod(x, y) (fmod(*(x), *(y)))
  202. #define u_nint(__x) ((__x)>=0 ? floor((__x) + .5) : -floor(.5 - (__x)))
  203. #define d_nint(x) u_nint(*(x))
  204. #define u_sign(__a,__b) ((__b) >= 0 ? ((__a) >= 0 ? (__a) : -(__a)) : -((__a) >= 0 ? (__a) : -(__a)))
  205. #define d_sign(a,b) u_sign(*(a),*(b))
  206. #define r_sign(a,b) u_sign(*(a),*(b))
  207. #define d_sin(x) (sin(*(x)))
  208. #define d_sinh(x) (sinh(*(x)))
  209. #define d_sqrt(x) (sqrt(*(x)))
  210. #define d_tan(x) (tan(*(x)))
  211. #define d_tanh(x) (tanh(*(x)))
  212. #define i_abs(x) abs(*(x))
  213. #define i_dnnt(x) ((integer)u_nint(*(x)))
  214. #define i_len(s, n) (n)
  215. #define i_nint(x) ((integer)u_nint(*(x)))
  216. #define i_sign(a,b) ((integer)u_sign((integer)*(a),(integer)*(b)))
  217. #define pow_dd(ap, bp) ( pow(*(ap), *(bp)))
  218. #define pow_si(B,E) spow_ui(*(B),*(E))
  219. #define pow_ri(B,E) spow_ui(*(B),*(E))
  220. #define pow_di(B,E) dpow_ui(*(B),*(E))
  221. #define pow_zi(p, a, b) {pCd(p) = zpow_ui(Cd(a), *(b));}
  222. #define pow_ci(p, a, b) {pCf(p) = cpow_ui(Cf(a), *(b));}
  223. #define pow_zz(R,A,B) {pCd(R) = cpow(Cd(A),*(B));}
  224. #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++ = ' '; }
  225. #define s_cmp(a,b,c,d) ((integer)strncmp((a),(b),f2cmin((c),(d))))
  226. #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]; }
  227. #define sig_die(s, kill) { exit(1); }
  228. #define s_stop(s, n) {exit(0);}
  229. static char junk[] = "\n@(#)LIBF77 VERSION 19990503\n";
  230. #define z_abs(z) (cabs(Cd(z)))
  231. #define z_exp(R, Z) {pCd(R) = cexp(Cd(Z));}
  232. #define z_sqrt(R, Z) {pCd(R) = csqrt(Cd(Z));}
  233. #define myexit_() break;
  234. #define mycycle_() continue;
  235. #define myceiling_(w) {ceil(w)}
  236. #define myhuge_(w) {HUGE_VAL}
  237. //#define mymaxloc_(w,s,e,n) {if (sizeof(*(w)) == sizeof(double)) dmaxloc_((w),*(s),*(e),n); else dmaxloc_((w),*(s),*(e),n);}
  238. #define mymaxloc_(w,s,e,n) {dmaxloc_(w,*(s),*(e),n)}
  239. /* procedure parameter types for -A and -C++ */
  240. #define F2C_proc_par_types 1
  241. #ifdef __cplusplus
  242. typedef logical (*L_fp)(...);
  243. #else
  244. typedef logical (*L_fp)();
  245. #endif
  246. static float spow_ui(float x, integer n) {
  247. float pow=1.0; unsigned long int u;
  248. if(n != 0) {
  249. if(n < 0) n = -n, x = 1/x;
  250. for(u = n; ; ) {
  251. if(u & 01) pow *= x;
  252. if(u >>= 1) x *= x;
  253. else break;
  254. }
  255. }
  256. return pow;
  257. }
  258. static double dpow_ui(double x, integer n) {
  259. double pow=1.0; unsigned long int u;
  260. if(n != 0) {
  261. if(n < 0) n = -n, x = 1/x;
  262. for(u = n; ; ) {
  263. if(u & 01) pow *= x;
  264. if(u >>= 1) x *= x;
  265. else break;
  266. }
  267. }
  268. return pow;
  269. }
  270. #ifdef _MSC_VER
  271. static _Fcomplex cpow_ui(complex x, integer n) {
  272. complex pow={1.0,0.0}; unsigned long int u;
  273. if(n != 0) {
  274. if(n < 0) n = -n, x.r = 1/x.r, x.i=1/x.i;
  275. for(u = n; ; ) {
  276. if(u & 01) pow.r *= x.r, pow.i *= x.i;
  277. if(u >>= 1) x.r *= x.r, x.i *= x.i;
  278. else break;
  279. }
  280. }
  281. _Fcomplex p={pow.r, pow.i};
  282. return p;
  283. }
  284. #else
  285. static _Complex float cpow_ui(_Complex float x, integer n) {
  286. _Complex float pow=1.0; unsigned long int u;
  287. if(n != 0) {
  288. if(n < 0) n = -n, x = 1/x;
  289. for(u = n; ; ) {
  290. if(u & 01) pow *= x;
  291. if(u >>= 1) x *= x;
  292. else break;
  293. }
  294. }
  295. return pow;
  296. }
  297. #endif
  298. #ifdef _MSC_VER
  299. static _Dcomplex zpow_ui(_Dcomplex x, integer n) {
  300. _Dcomplex pow={1.0,0.0}; unsigned long int u;
  301. if(n != 0) {
  302. if(n < 0) n = -n, x._Val[0] = 1/x._Val[0], x._Val[1] =1/x._Val[1];
  303. for(u = n; ; ) {
  304. if(u & 01) pow._Val[0] *= x._Val[0], pow._Val[1] *= x._Val[1];
  305. if(u >>= 1) x._Val[0] *= x._Val[0], x._Val[1] *= x._Val[1];
  306. else break;
  307. }
  308. }
  309. _Dcomplex p = {pow._Val[0], pow._Val[1]};
  310. return p;
  311. }
  312. #else
  313. static _Complex double zpow_ui(_Complex double x, integer n) {
  314. _Complex double pow=1.0; unsigned long int u;
  315. if(n != 0) {
  316. if(n < 0) n = -n, x = 1/x;
  317. for(u = n; ; ) {
  318. if(u & 01) pow *= x;
  319. if(u >>= 1) x *= x;
  320. else break;
  321. }
  322. }
  323. return pow;
  324. }
  325. #endif
  326. static integer pow_ii(integer x, integer n) {
  327. integer pow; unsigned long int u;
  328. if (n <= 0) {
  329. if (n == 0 || x == 1) pow = 1;
  330. else if (x != -1) pow = x == 0 ? 1/x : 0;
  331. else n = -n;
  332. }
  333. if ((n > 0) || !(n == 0 || x == 1 || x != -1)) {
  334. u = n;
  335. for(pow = 1; ; ) {
  336. if(u & 01) pow *= x;
  337. if(u >>= 1) x *= x;
  338. else break;
  339. }
  340. }
  341. return pow;
  342. }
  343. static integer dmaxloc_(double *w, integer s, integer e, integer *n)
  344. {
  345. double m; integer i, mi;
  346. for(m=w[s-1], mi=s, i=s+1; i<=e; i++)
  347. if (w[i-1]>m) mi=i ,m=w[i-1];
  348. return mi-s+1;
  349. }
  350. static integer smaxloc_(float *w, integer s, integer e, integer *n)
  351. {
  352. float m; integer i, mi;
  353. for(m=w[s-1], mi=s, i=s+1; i<=e; i++)
  354. if (w[i-1]>m) mi=i ,m=w[i-1];
  355. return mi-s+1;
  356. }
  357. static inline void cdotc_(complex *z, integer *n_, complex *x, integer *incx_, complex *y, integer *incy_) {
  358. integer n = *n_, incx = *incx_, incy = *incy_, i;
  359. #ifdef _MSC_VER
  360. _Fcomplex zdotc = {0.0, 0.0};
  361. if (incx == 1 && incy == 1) {
  362. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  363. zdotc._Val[0] += conjf(Cf(&x[i]))._Val[0] * Cf(&y[i])._Val[0];
  364. zdotc._Val[1] += conjf(Cf(&x[i]))._Val[1] * Cf(&y[i])._Val[1];
  365. }
  366. } else {
  367. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  368. zdotc._Val[0] += conjf(Cf(&x[i*incx]))._Val[0] * Cf(&y[i*incy])._Val[0];
  369. zdotc._Val[1] += conjf(Cf(&x[i*incx]))._Val[1] * Cf(&y[i*incy])._Val[1];
  370. }
  371. }
  372. pCf(z) = zdotc;
  373. }
  374. #else
  375. _Complex float zdotc = 0.0;
  376. if (incx == 1 && incy == 1) {
  377. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  378. zdotc += conjf(Cf(&x[i])) * Cf(&y[i]);
  379. }
  380. } else {
  381. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  382. zdotc += conjf(Cf(&x[i*incx])) * Cf(&y[i*incy]);
  383. }
  384. }
  385. pCf(z) = zdotc;
  386. }
  387. #endif
  388. static inline void zdotc_(doublecomplex *z, integer *n_, doublecomplex *x, integer *incx_, doublecomplex *y, integer *incy_) {
  389. integer n = *n_, incx = *incx_, incy = *incy_, i;
  390. #ifdef _MSC_VER
  391. _Dcomplex zdotc = {0.0, 0.0};
  392. if (incx == 1 && incy == 1) {
  393. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  394. zdotc._Val[0] += conj(Cd(&x[i]))._Val[0] * Cd(&y[i])._Val[0];
  395. zdotc._Val[1] += conj(Cd(&x[i]))._Val[1] * Cd(&y[i])._Val[1];
  396. }
  397. } else {
  398. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  399. zdotc._Val[0] += conj(Cd(&x[i*incx]))._Val[0] * Cd(&y[i*incy])._Val[0];
  400. zdotc._Val[1] += conj(Cd(&x[i*incx]))._Val[1] * Cd(&y[i*incy])._Val[1];
  401. }
  402. }
  403. pCd(z) = zdotc;
  404. }
  405. #else
  406. _Complex double zdotc = 0.0;
  407. if (incx == 1 && incy == 1) {
  408. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  409. zdotc += conj(Cd(&x[i])) * Cd(&y[i]);
  410. }
  411. } else {
  412. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  413. zdotc += conj(Cd(&x[i*incx])) * Cd(&y[i*incy]);
  414. }
  415. }
  416. pCd(z) = zdotc;
  417. }
  418. #endif
  419. static inline void cdotu_(complex *z, integer *n_, complex *x, integer *incx_, complex *y, integer *incy_) {
  420. integer n = *n_, incx = *incx_, incy = *incy_, i;
  421. #ifdef _MSC_VER
  422. _Fcomplex zdotc = {0.0, 0.0};
  423. if (incx == 1 && incy == 1) {
  424. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  425. zdotc._Val[0] += Cf(&x[i])._Val[0] * Cf(&y[i])._Val[0];
  426. zdotc._Val[1] += Cf(&x[i])._Val[1] * Cf(&y[i])._Val[1];
  427. }
  428. } else {
  429. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  430. zdotc._Val[0] += Cf(&x[i*incx])._Val[0] * Cf(&y[i*incy])._Val[0];
  431. zdotc._Val[1] += Cf(&x[i*incx])._Val[1] * Cf(&y[i*incy])._Val[1];
  432. }
  433. }
  434. pCf(z) = zdotc;
  435. }
  436. #else
  437. _Complex float zdotc = 0.0;
  438. if (incx == 1 && incy == 1) {
  439. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  440. zdotc += Cf(&x[i]) * Cf(&y[i]);
  441. }
  442. } else {
  443. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  444. zdotc += Cf(&x[i*incx]) * Cf(&y[i*incy]);
  445. }
  446. }
  447. pCf(z) = zdotc;
  448. }
  449. #endif
  450. static inline void zdotu_(doublecomplex *z, integer *n_, doublecomplex *x, integer *incx_, doublecomplex *y, integer *incy_) {
  451. integer n = *n_, incx = *incx_, incy = *incy_, i;
  452. #ifdef _MSC_VER
  453. _Dcomplex zdotc = {0.0, 0.0};
  454. if (incx == 1 && incy == 1) {
  455. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  456. zdotc._Val[0] += Cd(&x[i])._Val[0] * Cd(&y[i])._Val[0];
  457. zdotc._Val[1] += Cd(&x[i])._Val[1] * Cd(&y[i])._Val[1];
  458. }
  459. } else {
  460. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  461. zdotc._Val[0] += Cd(&x[i*incx])._Val[0] * Cd(&y[i*incy])._Val[0];
  462. zdotc._Val[1] += Cd(&x[i*incx])._Val[1] * Cd(&y[i*incy])._Val[1];
  463. }
  464. }
  465. pCd(z) = zdotc;
  466. }
  467. #else
  468. _Complex double zdotc = 0.0;
  469. if (incx == 1 && incy == 1) {
  470. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  471. zdotc += Cd(&x[i]) * Cd(&y[i]);
  472. }
  473. } else {
  474. for (i=0;i<n;i++) { /* zdotc = zdotc + dconjg(x(i))* y(i) */
  475. zdotc += Cd(&x[i*incx]) * Cd(&y[i*incy]);
  476. }
  477. }
  478. pCd(z) = zdotc;
  479. }
  480. #endif
  481. /* -- translated by f2c (version 20000121).
  482. You must link the resulting object file with the libraries:
  483. -lf2c -lm (in that order)
  484. */
  485. /* Table of constant values */
  486. static integer c_n1 = -1;
  487. static integer c__1 = 1;
  488. static logical c_false = FALSE_;
  489. /* > \brief \b ZUNCSD2BY1 */
  490. /* =========== DOCUMENTATION =========== */
  491. /* Online html documentation available at */
  492. /* http://www.netlib.org/lapack/explore-html/ */
  493. /* > \htmlonly */
  494. /* > Download ZUNCSD2BY1 + dependencies */
  495. /* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zuncsd2
  496. by1.f"> */
  497. /* > [TGZ]</a> */
  498. /* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zuncsd2
  499. by1.f"> */
  500. /* > [ZIP]</a> */
  501. /* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zuncsd2
  502. by1.f"> */
  503. /* > [TXT]</a> */
  504. /* > \endhtmlonly */
  505. /* Definition: */
  506. /* =========== */
  507. /* SUBROUTINE ZUNCSD2BY1( JOBU1, JOBU2, JOBV1T, M, P, Q, X11, LDX11, */
  508. /* X21, LDX21, THETA, U1, LDU1, U2, LDU2, V1T, */
  509. /* LDV1T, WORK, LWORK, RWORK, LRWORK, IWORK, */
  510. /* INFO ) */
  511. /* CHARACTER JOBU1, JOBU2, JOBV1T */
  512. /* INTEGER INFO, LDU1, LDU2, LDV1T, LWORK, LDX11, LDX21, */
  513. /* $ M, P, Q */
  514. /* INTEGER LRWORK, LRWORKMIN, LRWORKOPT */
  515. /* DOUBLE PRECISION RWORK(*) */
  516. /* DOUBLE PRECISION THETA(*) */
  517. /* COMPLEX*16 U1(LDU1,*), U2(LDU2,*), V1T(LDV1T,*), WORK(*), */
  518. /* $ X11(LDX11,*), X21(LDX21,*) */
  519. /* INTEGER IWORK(*) */
  520. /* > \par Purpose: */
  521. /* ============= */
  522. /* > */
  523. /* >\verbatim */
  524. /* > */
  525. /* > ZUNCSD2BY1 computes the CS decomposition of an M-by-Q matrix X with */
  526. /* > orthonormal columns that has been partitioned into a 2-by-1 block */
  527. /* > structure: */
  528. /* > */
  529. /* > [ I1 0 0 ] */
  530. /* > [ 0 C 0 ] */
  531. /* > [ X11 ] [ U1 | ] [ 0 0 0 ] */
  532. /* > X = [-----] = [---------] [----------] V1**T . */
  533. /* > [ X21 ] [ | U2 ] [ 0 0 0 ] */
  534. /* > [ 0 S 0 ] */
  535. /* > [ 0 0 I2] */
  536. /* > */
  537. /* > X11 is P-by-Q. The unitary matrices U1, U2, and V1 are P-by-P, */
  538. /* > (M-P)-by-(M-P), and Q-by-Q, respectively. C and S are R-by-R */
  539. /* > nonnegative diagonal matrices satisfying C^2 + S^2 = I, in which */
  540. /* > R = MIN(P,M-P,Q,M-Q). I1 is a K1-by-K1 identity matrix and I2 is a */
  541. /* > K2-by-K2 identity matrix, where K1 = MAX(Q+P-M,0), K2 = MAX(Q-P,0). */
  542. /* > \endverbatim */
  543. /* Arguments: */
  544. /* ========== */
  545. /* > \param[in] JOBU1 */
  546. /* > \verbatim */
  547. /* > JOBU1 is CHARACTER */
  548. /* > = 'Y': U1 is computed; */
  549. /* > otherwise: U1 is not computed. */
  550. /* > \endverbatim */
  551. /* > */
  552. /* > \param[in] JOBU2 */
  553. /* > \verbatim */
  554. /* > JOBU2 is CHARACTER */
  555. /* > = 'Y': U2 is computed; */
  556. /* > otherwise: U2 is not computed. */
  557. /* > \endverbatim */
  558. /* > */
  559. /* > \param[in] JOBV1T */
  560. /* > \verbatim */
  561. /* > JOBV1T is CHARACTER */
  562. /* > = 'Y': V1T is computed; */
  563. /* > otherwise: V1T is not computed. */
  564. /* > \endverbatim */
  565. /* > */
  566. /* > \param[in] M */
  567. /* > \verbatim */
  568. /* > M is INTEGER */
  569. /* > The number of rows in X. */
  570. /* > \endverbatim */
  571. /* > */
  572. /* > \param[in] P */
  573. /* > \verbatim */
  574. /* > P is INTEGER */
  575. /* > The number of rows in X11. 0 <= P <= M. */
  576. /* > \endverbatim */
  577. /* > */
  578. /* > \param[in] Q */
  579. /* > \verbatim */
  580. /* > Q is INTEGER */
  581. /* > The number of columns in X11 and X21. 0 <= Q <= M. */
  582. /* > \endverbatim */
  583. /* > */
  584. /* > \param[in,out] X11 */
  585. /* > \verbatim */
  586. /* > X11 is COMPLEX*16 array, dimension (LDX11,Q) */
  587. /* > On entry, part of the unitary matrix whose CSD is desired. */
  588. /* > \endverbatim */
  589. /* > */
  590. /* > \param[in] LDX11 */
  591. /* > \verbatim */
  592. /* > LDX11 is INTEGER */
  593. /* > The leading dimension of X11. LDX11 >= MAX(1,P). */
  594. /* > \endverbatim */
  595. /* > */
  596. /* > \param[in,out] X21 */
  597. /* > \verbatim */
  598. /* > X21 is COMPLEX*16 array, dimension (LDX21,Q) */
  599. /* > On entry, part of the unitary matrix whose CSD is desired. */
  600. /* > \endverbatim */
  601. /* > */
  602. /* > \param[in] LDX21 */
  603. /* > \verbatim */
  604. /* > LDX21 is INTEGER */
  605. /* > The leading dimension of X21. LDX21 >= MAX(1,M-P). */
  606. /* > \endverbatim */
  607. /* > */
  608. /* > \param[out] THETA */
  609. /* > \verbatim */
  610. /* > THETA is DOUBLE PRECISION array, dimension (R), in which R = */
  611. /* > MIN(P,M-P,Q,M-Q). */
  612. /* > C = DIAG( COS(THETA(1)), ... , COS(THETA(R)) ) and */
  613. /* > S = DIAG( SIN(THETA(1)), ... , SIN(THETA(R)) ). */
  614. /* > \endverbatim */
  615. /* > */
  616. /* > \param[out] U1 */
  617. /* > \verbatim */
  618. /* > U1 is COMPLEX*16 array, dimension (P) */
  619. /* > If JOBU1 = 'Y', U1 contains the P-by-P unitary matrix U1. */
  620. /* > \endverbatim */
  621. /* > */
  622. /* > \param[in] LDU1 */
  623. /* > \verbatim */
  624. /* > LDU1 is INTEGER */
  625. /* > The leading dimension of U1. If JOBU1 = 'Y', LDU1 >= */
  626. /* > MAX(1,P). */
  627. /* > \endverbatim */
  628. /* > */
  629. /* > \param[out] U2 */
  630. /* > \verbatim */
  631. /* > U2 is COMPLEX*16 array, dimension (M-P) */
  632. /* > If JOBU2 = 'Y', U2 contains the (M-P)-by-(M-P) unitary */
  633. /* > matrix U2. */
  634. /* > \endverbatim */
  635. /* > */
  636. /* > \param[in] LDU2 */
  637. /* > \verbatim */
  638. /* > LDU2 is INTEGER */
  639. /* > The leading dimension of U2. If JOBU2 = 'Y', LDU2 >= */
  640. /* > MAX(1,M-P). */
  641. /* > \endverbatim */
  642. /* > */
  643. /* > \param[out] V1T */
  644. /* > \verbatim */
  645. /* > V1T is COMPLEX*16 array, dimension (Q) */
  646. /* > If JOBV1T = 'Y', V1T contains the Q-by-Q matrix unitary */
  647. /* > matrix V1**T. */
  648. /* > \endverbatim */
  649. /* > */
  650. /* > \param[in] LDV1T */
  651. /* > \verbatim */
  652. /* > LDV1T is INTEGER */
  653. /* > The leading dimension of V1T. If JOBV1T = 'Y', LDV1T >= */
  654. /* > MAX(1,Q). */
  655. /* > \endverbatim */
  656. /* > */
  657. /* > \param[out] WORK */
  658. /* > \verbatim */
  659. /* > WORK is COMPLEX*16 array, dimension (MAX(1,LWORK)) */
  660. /* > On exit, if INFO = 0, WORK(1) returns the optimal LWORK. */
  661. /* > \endverbatim */
  662. /* > */
  663. /* > \param[in] LWORK */
  664. /* > \verbatim */
  665. /* > LWORK is INTEGER */
  666. /* > The dimension of the array WORK. */
  667. /* > */
  668. /* > If LWORK = -1, then a workspace query is assumed; the routine */
  669. /* > only calculates the optimal size of the WORK array, returns */
  670. /* > this value as the first entry of the work array, and no error */
  671. /* > message related to LWORK is issued by XERBLA. */
  672. /* > \endverbatim */
  673. /* > */
  674. /* > \param[out] RWORK */
  675. /* > \verbatim */
  676. /* > RWORK is DOUBLE PRECISION array, dimension (MAX(1,LRWORK)) */
  677. /* > On exit, if INFO = 0, RWORK(1) returns the optimal LRWORK. */
  678. /* > If INFO > 0 on exit, RWORK(2:R) contains the values PHI(1), */
  679. /* > ..., PHI(R-1) that, together with THETA(1), ..., THETA(R), */
  680. /* > define the matrix in intermediate bidiagonal-block form */
  681. /* > remaining after nonconvergence. INFO specifies the number */
  682. /* > of nonzero PHI's. */
  683. /* > \endverbatim */
  684. /* > */
  685. /* > \param[in] LRWORK */
  686. /* > \verbatim */
  687. /* > LRWORK is INTEGER */
  688. /* > The dimension of the array RWORK. */
  689. /* > */
  690. /* > If LRWORK = -1, then a workspace query is assumed; the routine */
  691. /* > only calculates the optimal size of the RWORK array, returns */
  692. /* > this value as the first entry of the work array, and no error */
  693. /* > message related to LRWORK is issued by XERBLA. */
  694. /* > \endverbatim */
  695. /* > \param[out] IWORK */
  696. /* > \verbatim */
  697. /* > IWORK is INTEGER array, dimension (M-MIN(P,M-P,Q,M-Q)) */
  698. /* > \endverbatim */
  699. /* > */
  700. /* > \param[out] INFO */
  701. /* > \verbatim */
  702. /* > INFO is INTEGER */
  703. /* > = 0: successful exit. */
  704. /* > < 0: if INFO = -i, the i-th argument had an illegal value. */
  705. /* > > 0: ZBBCSD did not converge. See the description of WORK */
  706. /* > above for details. */
  707. /* > \endverbatim */
  708. /* > \par References: */
  709. /* ================ */
  710. /* > */
  711. /* > [1] Brian D. Sutton. Computing the complete CS decomposition. Numer. */
  712. /* > Algorithms, 50(1):33-65, 2009. */
  713. /* Authors: */
  714. /* ======== */
  715. /* > \author Univ. of Tennessee */
  716. /* > \author Univ. of California Berkeley */
  717. /* > \author Univ. of Colorado Denver */
  718. /* > \author NAG Ltd. */
  719. /* > \date July 2012 */
  720. /* > \ingroup complex16OTHERcomputational */
  721. /* ===================================================================== */
  722. /* Subroutine */ void zuncsd2by1_(char *jobu1, char *jobu2, char *jobv1t,
  723. integer *m, integer *p, integer *q, doublecomplex *x11, integer *
  724. ldx11, doublecomplex *x21, integer *ldx21, doublereal *theta,
  725. doublecomplex *u1, integer *ldu1, doublecomplex *u2, integer *ldu2,
  726. doublecomplex *v1t, integer *ldv1t, doublecomplex *work, integer *
  727. lwork, doublereal *rwork, integer *lrwork, integer *iwork, integer *
  728. info)
  729. {
  730. /* System generated locals */
  731. integer u1_dim1, u1_offset, u2_dim1, u2_offset, v1t_dim1, v1t_offset,
  732. x11_dim1, x11_offset, x21_dim1, x21_offset, i__1, i__2, i__3;
  733. /* Local variables */
  734. integer ib11d, ib11e, ib12d, ib12e, ib21d, ib21e, ib22d, ib22e;
  735. doublecomplex cdum[1] /* was [1][1] */;
  736. integer iphi, lworkmin, lworkopt, i__, j, r__;
  737. extern logical lsame_(char *, char *);
  738. integer childinfo;
  739. extern /* Subroutine */ void zcopy_(integer *, doublecomplex *, integer *,
  740. doublecomplex *, integer *);
  741. integer lorglqmin, lorgqrmin, lorglqopt, lrworkmin, itaup1, itaup2,
  742. itauq1, lorgqropt;
  743. logical wantu1, wantu2;
  744. integer lrworkopt, ibbcsd, lbbcsd, iorbdb, lorbdb;
  745. extern /* Subroutine */ void zbbcsd_(char *, char *, char *, char *, char *
  746. , integer *, integer *, integer *, doublereal *, doublereal *,
  747. doublecomplex *, integer *, doublecomplex *, integer *,
  748. doublecomplex *, integer *, doublecomplex *, integer *,
  749. doublereal *, doublereal *, doublereal *, doublereal *,
  750. doublereal *, doublereal *, doublereal *, doublereal *,
  751. doublereal *, integer *, integer *);
  752. extern int xerbla_(char *, integer *, ftnlen);
  753. integer iorglq, lorglq;
  754. extern /* Subroutine */ void zlacpy_(char *, integer *, integer *,
  755. doublecomplex *, integer *, doublecomplex *, integer *);
  756. integer iorgqr;
  757. extern /* Subroutine */ void zlapmr_(logical *, integer *, integer *,
  758. doublecomplex *, integer *, integer *);
  759. integer lorgqr;
  760. extern /* Subroutine */ void zlapmt_(logical *, integer *, integer *,
  761. doublecomplex *, integer *, integer *);
  762. logical lquery;
  763. extern /* Subroutine */ void zunglq_(integer *, integer *, integer *,
  764. doublecomplex *, integer *, doublecomplex *, doublecomplex *,
  765. integer *, integer *), zungqr_(integer *, integer *, integer *,
  766. doublecomplex *, integer *, doublecomplex *, doublecomplex *,
  767. integer *, integer *), zunbdb1_(integer *, integer *, integer *,
  768. doublecomplex *, integer *, doublecomplex *, integer *,
  769. doublereal *, doublereal *, doublecomplex *, doublecomplex *,
  770. doublecomplex *, doublecomplex *, integer *, integer *), zunbdb2_(
  771. integer *, integer *, integer *, doublecomplex *, integer *,
  772. doublecomplex *, integer *, doublereal *, doublereal *,
  773. doublecomplex *, doublecomplex *, doublecomplex *, doublecomplex *
  774. , integer *, integer *), zunbdb3_(integer *, integer *, integer *,
  775. doublecomplex *, integer *, doublecomplex *, integer *,
  776. doublereal *, doublereal *, doublecomplex *, doublecomplex *,
  777. doublecomplex *, doublecomplex *, integer *, integer *), zunbdb4_(
  778. integer *, integer *, integer *, doublecomplex *, integer *,
  779. doublecomplex *, integer *, doublereal *, doublereal *,
  780. doublecomplex *, doublecomplex *, doublecomplex *, doublecomplex *
  781. , doublecomplex *, integer *, integer *);
  782. logical wantv1t;
  783. doublereal dum[1];
  784. /* -- LAPACK computational routine (version 3.7.1) -- */
  785. /* -- LAPACK is a software package provided by Univ. of Tennessee, -- */
  786. /* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- */
  787. /* July 2012 */
  788. /* ===================================================================== */
  789. /* Test input arguments */
  790. /* Parameter adjustments */
  791. x11_dim1 = *ldx11;
  792. x11_offset = 1 + x11_dim1 * 1;
  793. x11 -= x11_offset;
  794. x21_dim1 = *ldx21;
  795. x21_offset = 1 + x21_dim1 * 1;
  796. x21 -= x21_offset;
  797. --theta;
  798. u1_dim1 = *ldu1;
  799. u1_offset = 1 + u1_dim1 * 1;
  800. u1 -= u1_offset;
  801. u2_dim1 = *ldu2;
  802. u2_offset = 1 + u2_dim1 * 1;
  803. u2 -= u2_offset;
  804. v1t_dim1 = *ldv1t;
  805. v1t_offset = 1 + v1t_dim1 * 1;
  806. v1t -= v1t_offset;
  807. --work;
  808. --rwork;
  809. --iwork;
  810. /* Function Body */
  811. *info = 0;
  812. wantu1 = lsame_(jobu1, "Y");
  813. wantu2 = lsame_(jobu2, "Y");
  814. wantv1t = lsame_(jobv1t, "Y");
  815. lquery = *lwork == -1;
  816. if (*m < 0) {
  817. *info = -4;
  818. } else if (*p < 0 || *p > *m) {
  819. *info = -5;
  820. } else if (*q < 0 || *q > *m) {
  821. *info = -6;
  822. } else if (*ldx11 < f2cmax(1,*p)) {
  823. *info = -8;
  824. } else /* if(complicated condition) */ {
  825. /* Computing MAX */
  826. i__1 = 1, i__2 = *m - *p;
  827. if (*ldx21 < f2cmax(i__1,i__2)) {
  828. *info = -10;
  829. } else if (wantu1 && *ldu1 < f2cmax(1,*p)) {
  830. *info = -13;
  831. } else /* if(complicated condition) */ {
  832. /* Computing MAX */
  833. i__1 = 1, i__2 = *m - *p;
  834. if (wantu2 && *ldu2 < f2cmax(i__1,i__2)) {
  835. *info = -15;
  836. } else if (wantv1t && *ldv1t < f2cmax(1,*q)) {
  837. *info = -17;
  838. }
  839. }
  840. }
  841. /* Computing MIN */
  842. i__1 = *p, i__2 = *m - *p, i__1 = f2cmin(i__1,i__2), i__1 = f2cmin(i__1,*q),
  843. i__2 = *m - *q;
  844. r__ = f2cmin(i__1,i__2);
  845. /* Compute workspace */
  846. /* WORK layout: */
  847. /* |-----------------------------------------| */
  848. /* | LWORKOPT (1) | */
  849. /* |-----------------------------------------| */
  850. /* | TAUP1 (MAX(1,P)) | */
  851. /* | TAUP2 (MAX(1,M-P)) | */
  852. /* | TAUQ1 (MAX(1,Q)) | */
  853. /* |-----------------------------------------| */
  854. /* | ZUNBDB WORK | ZUNGQR WORK | ZUNGLQ WORK | */
  855. /* | | | | */
  856. /* | | | | */
  857. /* | | | | */
  858. /* | | | | */
  859. /* |-----------------------------------------| */
  860. /* RWORK layout: */
  861. /* |------------------| */
  862. /* | LRWORKOPT (1) | */
  863. /* |------------------| */
  864. /* | PHI (MAX(1,R-1)) | */
  865. /* |------------------| */
  866. /* | B11D (R) | */
  867. /* | B11E (R-1) | */
  868. /* | B12D (R) | */
  869. /* | B12E (R-1) | */
  870. /* | B21D (R) | */
  871. /* | B21E (R-1) | */
  872. /* | B22D (R) | */
  873. /* | B22E (R-1) | */
  874. /* | ZBBCSD RWORK | */
  875. /* |------------------| */
  876. if (*info == 0) {
  877. iphi = 2;
  878. /* Computing MAX */
  879. i__1 = 1, i__2 = r__ - 1;
  880. ib11d = iphi + f2cmax(i__1,i__2);
  881. ib11e = ib11d + f2cmax(1,r__);
  882. /* Computing MAX */
  883. i__1 = 1, i__2 = r__ - 1;
  884. ib12d = ib11e + f2cmax(i__1,i__2);
  885. ib12e = ib12d + f2cmax(1,r__);
  886. /* Computing MAX */
  887. i__1 = 1, i__2 = r__ - 1;
  888. ib21d = ib12e + f2cmax(i__1,i__2);
  889. ib21e = ib21d + f2cmax(1,r__);
  890. /* Computing MAX */
  891. i__1 = 1, i__2 = r__ - 1;
  892. ib22d = ib21e + f2cmax(i__1,i__2);
  893. ib22e = ib22d + f2cmax(1,r__);
  894. /* Computing MAX */
  895. i__1 = 1, i__2 = r__ - 1;
  896. ibbcsd = ib22e + f2cmax(i__1,i__2);
  897. itaup1 = 2;
  898. itaup2 = itaup1 + f2cmax(1,*p);
  899. /* Computing MAX */
  900. i__1 = 1, i__2 = *m - *p;
  901. itauq1 = itaup2 + f2cmax(i__1,i__2);
  902. iorbdb = itauq1 + f2cmax(1,*q);
  903. iorgqr = itauq1 + f2cmax(1,*q);
  904. iorglq = itauq1 + f2cmax(1,*q);
  905. lorgqrmin = 1;
  906. lorgqropt = 1;
  907. lorglqmin = 1;
  908. lorglqopt = 1;
  909. if (r__ == *q) {
  910. zunbdb1_(m, p, q, &x11[x11_offset], ldx11, &x21[x21_offset],
  911. ldx21, &theta[1], dum, cdum, cdum, cdum, &work[1], &c_n1,
  912. &childinfo);
  913. lorbdb = (integer) work[1].r;
  914. if (wantu1 && *p > 0) {
  915. zungqr_(p, p, q, &u1[u1_offset], ldu1, cdum, &work[1], &c_n1,
  916. &childinfo);
  917. lorgqrmin = f2cmax(lorgqrmin,*p);
  918. /* Computing MAX */
  919. i__1 = lorgqropt, i__2 = (integer) work[1].r;
  920. lorgqropt = f2cmax(i__1,i__2);
  921. }
  922. if (wantu2 && *m - *p > 0) {
  923. i__1 = *m - *p;
  924. i__2 = *m - *p;
  925. zungqr_(&i__1, &i__2, q, &u2[u2_offset], ldu2, cdum, &work[1],
  926. &c_n1, &childinfo);
  927. /* Computing MAX */
  928. i__1 = lorgqrmin, i__2 = *m - *p;
  929. lorgqrmin = f2cmax(i__1,i__2);
  930. /* Computing MAX */
  931. i__1 = lorgqropt, i__2 = (integer) work[1].r;
  932. lorgqropt = f2cmax(i__1,i__2);
  933. }
  934. if (wantv1t && *q > 0) {
  935. i__1 = *q - 1;
  936. i__2 = *q - 1;
  937. i__3 = *q - 1;
  938. zunglq_(&i__1, &i__2, &i__3, &v1t[v1t_offset], ldv1t, cdum, &
  939. work[1], &c_n1, &childinfo);
  940. /* Computing MAX */
  941. i__1 = lorglqmin, i__2 = *q - 1;
  942. lorglqmin = f2cmax(i__1,i__2);
  943. /* Computing MAX */
  944. i__1 = lorglqopt, i__2 = (integer) work[1].r;
  945. lorglqopt = f2cmax(i__1,i__2);
  946. }
  947. zbbcsd_(jobu1, jobu2, jobv1t, "N", "N", m, p, q, &theta[1], dum, &
  948. u1[u1_offset], ldu1, &u2[u2_offset], ldu2, &v1t[
  949. v1t_offset], ldv1t, cdum, &c__1, dum, dum, dum, dum, dum,
  950. dum, dum, dum, &rwork[1], &c_n1, &childinfo);
  951. lbbcsd = (integer) rwork[1];
  952. } else if (r__ == *p) {
  953. zunbdb2_(m, p, q, &x11[x11_offset], ldx11, &x21[x21_offset],
  954. ldx21, &theta[1], dum, cdum, cdum, cdum, &work[1], &c_n1,
  955. &childinfo);
  956. lorbdb = (integer) work[1].r;
  957. if (wantu1 && *p > 0) {
  958. i__1 = *p - 1;
  959. i__2 = *p - 1;
  960. i__3 = *p - 1;
  961. zungqr_(&i__1, &i__2, &i__3, &u1[(u1_dim1 << 1) + 2], ldu1,
  962. cdum, &work[1], &c_n1, &childinfo);
  963. /* Computing MAX */
  964. i__1 = lorgqrmin, i__2 = *p - 1;
  965. lorgqrmin = f2cmax(i__1,i__2);
  966. /* Computing MAX */
  967. i__1 = lorgqropt, i__2 = (integer) work[1].r;
  968. lorgqropt = f2cmax(i__1,i__2);
  969. }
  970. if (wantu2 && *m - *p > 0) {
  971. i__1 = *m - *p;
  972. i__2 = *m - *p;
  973. zungqr_(&i__1, &i__2, q, &u2[u2_offset], ldu2, cdum, &work[1],
  974. &c_n1, &childinfo);
  975. /* Computing MAX */
  976. i__1 = lorgqrmin, i__2 = *m - *p;
  977. lorgqrmin = f2cmax(i__1,i__2);
  978. /* Computing MAX */
  979. i__1 = lorgqropt, i__2 = (integer) work[1].r;
  980. lorgqropt = f2cmax(i__1,i__2);
  981. }
  982. if (wantv1t && *q > 0) {
  983. zunglq_(q, q, &r__, &v1t[v1t_offset], ldv1t, cdum, &work[1], &
  984. c_n1, &childinfo);
  985. lorglqmin = f2cmax(lorglqmin,*q);
  986. /* Computing MAX */
  987. i__1 = lorglqopt, i__2 = (integer) work[1].r;
  988. lorglqopt = f2cmax(i__1,i__2);
  989. }
  990. zbbcsd_(jobv1t, "N", jobu1, jobu2, "T", m, q, p, &theta[1], dum, &
  991. v1t[v1t_offset], ldv1t, cdum, &c__1, &u1[u1_offset], ldu1,
  992. &u2[u2_offset], ldu2, dum, dum, dum, dum, dum, dum, dum,
  993. dum, &rwork[1], &c_n1, &childinfo);
  994. lbbcsd = (integer) rwork[1];
  995. } else if (r__ == *m - *p) {
  996. zunbdb3_(m, p, q, &x11[x11_offset], ldx11, &x21[x21_offset],
  997. ldx21, &theta[1], dum, cdum, cdum, cdum, &work[1], &c_n1,
  998. &childinfo);
  999. lorbdb = (integer) work[1].r;
  1000. if (wantu1 && *p > 0) {
  1001. zungqr_(p, p, q, &u1[u1_offset], ldu1, cdum, &work[1], &c_n1,
  1002. &childinfo);
  1003. lorgqrmin = f2cmax(lorgqrmin,*p);
  1004. /* Computing MAX */
  1005. i__1 = lorgqropt, i__2 = (integer) work[1].r;
  1006. lorgqropt = f2cmax(i__1,i__2);
  1007. }
  1008. if (wantu2 && *m - *p > 0) {
  1009. i__1 = *m - *p - 1;
  1010. i__2 = *m - *p - 1;
  1011. i__3 = *m - *p - 1;
  1012. zungqr_(&i__1, &i__2, &i__3, &u2[(u2_dim1 << 1) + 2], ldu2,
  1013. cdum, &work[1], &c_n1, &childinfo);
  1014. /* Computing MAX */
  1015. i__1 = lorgqrmin, i__2 = *m - *p - 1;
  1016. lorgqrmin = f2cmax(i__1,i__2);
  1017. /* Computing MAX */
  1018. i__1 = lorgqropt, i__2 = (integer) work[1].r;
  1019. lorgqropt = f2cmax(i__1,i__2);
  1020. }
  1021. if (wantv1t && *q > 0) {
  1022. zunglq_(q, q, &r__, &v1t[v1t_offset], ldv1t, cdum, &work[1], &
  1023. c_n1, &childinfo);
  1024. lorglqmin = f2cmax(lorglqmin,*q);
  1025. /* Computing MAX */
  1026. i__1 = lorglqopt, i__2 = (integer) work[1].r;
  1027. lorglqopt = f2cmax(i__1,i__2);
  1028. }
  1029. i__1 = *m - *q;
  1030. i__2 = *m - *p;
  1031. zbbcsd_("N", jobv1t, jobu2, jobu1, "T", m, &i__1, &i__2, &theta[1]
  1032. , dum, cdum, &c__1, &v1t[v1t_offset], ldv1t, &u2[
  1033. u2_offset], ldu2, &u1[u1_offset], ldu1, dum, dum, dum,
  1034. dum, dum, dum, dum, dum, &rwork[1], &c_n1, &childinfo);
  1035. lbbcsd = (integer) rwork[1];
  1036. } else {
  1037. zunbdb4_(m, p, q, &x11[x11_offset], ldx11, &x21[x21_offset],
  1038. ldx21, &theta[1], dum, cdum, cdum, cdum, cdum, &work[1], &
  1039. c_n1, &childinfo);
  1040. lorbdb = *m + (integer) work[1].r;
  1041. if (wantu1 && *p > 0) {
  1042. i__1 = *m - *q;
  1043. zungqr_(p, p, &i__1, &u1[u1_offset], ldu1, cdum, &work[1], &
  1044. c_n1, &childinfo);
  1045. lorgqrmin = f2cmax(lorgqrmin,*p);
  1046. /* Computing MAX */
  1047. i__1 = lorgqropt, i__2 = (integer) work[1].r;
  1048. lorgqropt = f2cmax(i__1,i__2);
  1049. }
  1050. if (wantu2 && *m - *p > 0) {
  1051. i__1 = *m - *p;
  1052. i__2 = *m - *p;
  1053. i__3 = *m - *q;
  1054. zungqr_(&i__1, &i__2, &i__3, &u2[u2_offset], ldu2, cdum, &
  1055. work[1], &c_n1, &childinfo);
  1056. /* Computing MAX */
  1057. i__1 = lorgqrmin, i__2 = *m - *p;
  1058. lorgqrmin = f2cmax(i__1,i__2);
  1059. /* Computing MAX */
  1060. i__1 = lorgqropt, i__2 = (integer) work[1].r;
  1061. lorgqropt = f2cmax(i__1,i__2);
  1062. }
  1063. if (wantv1t && *q > 0) {
  1064. zunglq_(q, q, q, &v1t[v1t_offset], ldv1t, cdum, &work[1], &
  1065. c_n1, &childinfo);
  1066. lorglqmin = f2cmax(lorglqmin,*q);
  1067. /* Computing MAX */
  1068. i__1 = lorglqopt, i__2 = (integer) work[1].r;
  1069. lorglqopt = f2cmax(i__1,i__2);
  1070. }
  1071. i__1 = *m - *p;
  1072. i__2 = *m - *q;
  1073. zbbcsd_(jobu2, jobu1, "N", jobv1t, "N", m, &i__1, &i__2, &theta[1]
  1074. , dum, &u2[u2_offset], ldu2, &u1[u1_offset], ldu1, cdum, &
  1075. c__1, &v1t[v1t_offset], ldv1t, dum, dum, dum, dum, dum,
  1076. dum, dum, dum, &rwork[1], &c_n1, &childinfo);
  1077. lbbcsd = (integer) rwork[1];
  1078. }
  1079. lrworkmin = ibbcsd + lbbcsd - 1;
  1080. lrworkopt = lrworkmin;
  1081. rwork[1] = (doublereal) lrworkopt;
  1082. /* Computing MAX */
  1083. i__1 = iorbdb + lorbdb - 1, i__2 = iorgqr + lorgqrmin - 1, i__1 = f2cmax(
  1084. i__1,i__2), i__2 = iorglq + lorglqmin - 1;
  1085. lworkmin = f2cmax(i__1,i__2);
  1086. /* Computing MAX */
  1087. i__1 = iorbdb + lorbdb - 1, i__2 = iorgqr + lorgqropt - 1, i__1 = f2cmax(
  1088. i__1,i__2), i__2 = iorglq + lorglqopt - 1;
  1089. lworkopt = f2cmax(i__1,i__2);
  1090. work[1].r = (doublereal) lworkopt, work[1].i = 0.;
  1091. if (*lwork < lworkmin && ! lquery) {
  1092. *info = -19;
  1093. }
  1094. }
  1095. if (*info != 0) {
  1096. i__1 = -(*info);
  1097. xerbla_("ZUNCSD2BY1", &i__1, (ftnlen)10);
  1098. return;
  1099. } else if (lquery) {
  1100. return;
  1101. }
  1102. lorgqr = *lwork - iorgqr + 1;
  1103. lorglq = *lwork - iorglq + 1;
  1104. /* Handle four cases separately: R = Q, R = P, R = M-P, and R = M-Q, */
  1105. /* in which R = MIN(P,M-P,Q,M-Q) */
  1106. if (r__ == *q) {
  1107. /* Case 1: R = Q */
  1108. /* Simultaneously bidiagonalize X11 and X21 */
  1109. zunbdb1_(m, p, q, &x11[x11_offset], ldx11, &x21[x21_offset], ldx21, &
  1110. theta[1], &rwork[iphi], &work[itaup1], &work[itaup2], &work[
  1111. itauq1], &work[iorbdb], &lorbdb, &childinfo);
  1112. /* Accumulate Householder reflectors */
  1113. if (wantu1 && *p > 0) {
  1114. zlacpy_("L", p, q, &x11[x11_offset], ldx11, &u1[u1_offset], ldu1);
  1115. zungqr_(p, p, q, &u1[u1_offset], ldu1, &work[itaup1], &work[
  1116. iorgqr], &lorgqr, &childinfo);
  1117. }
  1118. if (wantu2 && *m - *p > 0) {
  1119. i__1 = *m - *p;
  1120. zlacpy_("L", &i__1, q, &x21[x21_offset], ldx21, &u2[u2_offset],
  1121. ldu2);
  1122. i__1 = *m - *p;
  1123. i__2 = *m - *p;
  1124. zungqr_(&i__1, &i__2, q, &u2[u2_offset], ldu2, &work[itaup2], &
  1125. work[iorgqr], &lorgqr, &childinfo);
  1126. }
  1127. if (wantv1t && *q > 0) {
  1128. i__1 = v1t_dim1 + 1;
  1129. v1t[i__1].r = 1., v1t[i__1].i = 0.;
  1130. i__1 = *q;
  1131. for (j = 2; j <= i__1; ++j) {
  1132. i__2 = j * v1t_dim1 + 1;
  1133. v1t[i__2].r = 0., v1t[i__2].i = 0.;
  1134. i__2 = j + v1t_dim1;
  1135. v1t[i__2].r = 0., v1t[i__2].i = 0.;
  1136. }
  1137. i__1 = *q - 1;
  1138. i__2 = *q - 1;
  1139. zlacpy_("U", &i__1, &i__2, &x21[(x21_dim1 << 1) + 1], ldx21, &v1t[
  1140. (v1t_dim1 << 1) + 2], ldv1t);
  1141. i__1 = *q - 1;
  1142. i__2 = *q - 1;
  1143. i__3 = *q - 1;
  1144. zunglq_(&i__1, &i__2, &i__3, &v1t[(v1t_dim1 << 1) + 2], ldv1t, &
  1145. work[itauq1], &work[iorglq], &lorglq, &childinfo);
  1146. }
  1147. /* Simultaneously diagonalize X11 and X21. */
  1148. zbbcsd_(jobu1, jobu2, jobv1t, "N", "N", m, p, q, &theta[1], &rwork[
  1149. iphi], &u1[u1_offset], ldu1, &u2[u2_offset], ldu2, &v1t[
  1150. v1t_offset], ldv1t, cdum, &c__1, &rwork[ib11d], &rwork[ib11e],
  1151. &rwork[ib12d], &rwork[ib12e], &rwork[ib21d], &rwork[ib21e], &
  1152. rwork[ib22d], &rwork[ib22e], &rwork[ibbcsd], &lbbcsd, &
  1153. childinfo);
  1154. /* Permute rows and columns to place zero submatrices in */
  1155. /* preferred positions */
  1156. if (*q > 0 && wantu2) {
  1157. i__1 = *q;
  1158. for (i__ = 1; i__ <= i__1; ++i__) {
  1159. iwork[i__] = *m - *p - *q + i__;
  1160. }
  1161. i__1 = *m - *p;
  1162. for (i__ = *q + 1; i__ <= i__1; ++i__) {
  1163. iwork[i__] = i__ - *q;
  1164. }
  1165. i__1 = *m - *p;
  1166. i__2 = *m - *p;
  1167. zlapmt_(&c_false, &i__1, &i__2, &u2[u2_offset], ldu2, &iwork[1]);
  1168. }
  1169. } else if (r__ == *p) {
  1170. /* Case 2: R = P */
  1171. /* Simultaneously bidiagonalize X11 and X21 */
  1172. zunbdb2_(m, p, q, &x11[x11_offset], ldx11, &x21[x21_offset], ldx21, &
  1173. theta[1], &rwork[iphi], &work[itaup1], &work[itaup2], &work[
  1174. itauq1], &work[iorbdb], &lorbdb, &childinfo);
  1175. /* Accumulate Householder reflectors */
  1176. if (wantu1 && *p > 0) {
  1177. i__1 = u1_dim1 + 1;
  1178. u1[i__1].r = 1., u1[i__1].i = 0.;
  1179. i__1 = *p;
  1180. for (j = 2; j <= i__1; ++j) {
  1181. i__2 = j * u1_dim1 + 1;
  1182. u1[i__2].r = 0., u1[i__2].i = 0.;
  1183. i__2 = j + u1_dim1;
  1184. u1[i__2].r = 0., u1[i__2].i = 0.;
  1185. }
  1186. i__1 = *p - 1;
  1187. i__2 = *p - 1;
  1188. zlacpy_("L", &i__1, &i__2, &x11[x11_dim1 + 2], ldx11, &u1[(
  1189. u1_dim1 << 1) + 2], ldu1);
  1190. i__1 = *p - 1;
  1191. i__2 = *p - 1;
  1192. i__3 = *p - 1;
  1193. zungqr_(&i__1, &i__2, &i__3, &u1[(u1_dim1 << 1) + 2], ldu1, &work[
  1194. itaup1], &work[iorgqr], &lorgqr, &childinfo);
  1195. }
  1196. if (wantu2 && *m - *p > 0) {
  1197. i__1 = *m - *p;
  1198. zlacpy_("L", &i__1, q, &x21[x21_offset], ldx21, &u2[u2_offset],
  1199. ldu2);
  1200. i__1 = *m - *p;
  1201. i__2 = *m - *p;
  1202. zungqr_(&i__1, &i__2, q, &u2[u2_offset], ldu2, &work[itaup2], &
  1203. work[iorgqr], &lorgqr, &childinfo);
  1204. }
  1205. if (wantv1t && *q > 0) {
  1206. zlacpy_("U", p, q, &x11[x11_offset], ldx11, &v1t[v1t_offset],
  1207. ldv1t);
  1208. zunglq_(q, q, &r__, &v1t[v1t_offset], ldv1t, &work[itauq1], &work[
  1209. iorglq], &lorglq, &childinfo);
  1210. }
  1211. /* Simultaneously diagonalize X11 and X21. */
  1212. zbbcsd_(jobv1t, "N", jobu1, jobu2, "T", m, q, p, &theta[1], &rwork[
  1213. iphi], &v1t[v1t_offset], ldv1t, cdum, &c__1, &u1[u1_offset],
  1214. ldu1, &u2[u2_offset], ldu2, &rwork[ib11d], &rwork[ib11e], &
  1215. rwork[ib12d], &rwork[ib12e], &rwork[ib21d], &rwork[ib21e], &
  1216. rwork[ib22d], &rwork[ib22e], &rwork[ibbcsd], &lbbcsd, &
  1217. childinfo);
  1218. /* Permute rows and columns to place identity submatrices in */
  1219. /* preferred positions */
  1220. if (*q > 0 && wantu2) {
  1221. i__1 = *q;
  1222. for (i__ = 1; i__ <= i__1; ++i__) {
  1223. iwork[i__] = *m - *p - *q + i__;
  1224. }
  1225. i__1 = *m - *p;
  1226. for (i__ = *q + 1; i__ <= i__1; ++i__) {
  1227. iwork[i__] = i__ - *q;
  1228. }
  1229. i__1 = *m - *p;
  1230. i__2 = *m - *p;
  1231. zlapmt_(&c_false, &i__1, &i__2, &u2[u2_offset], ldu2, &iwork[1]);
  1232. }
  1233. } else if (r__ == *m - *p) {
  1234. /* Case 3: R = M-P */
  1235. /* Simultaneously bidiagonalize X11 and X21 */
  1236. zunbdb3_(m, p, q, &x11[x11_offset], ldx11, &x21[x21_offset], ldx21, &
  1237. theta[1], &rwork[iphi], &work[itaup1], &work[itaup2], &work[
  1238. itauq1], &work[iorbdb], &lorbdb, &childinfo);
  1239. /* Accumulate Householder reflectors */
  1240. if (wantu1 && *p > 0) {
  1241. zlacpy_("L", p, q, &x11[x11_offset], ldx11, &u1[u1_offset], ldu1);
  1242. zungqr_(p, p, q, &u1[u1_offset], ldu1, &work[itaup1], &work[
  1243. iorgqr], &lorgqr, &childinfo);
  1244. }
  1245. if (wantu2 && *m - *p > 0) {
  1246. i__1 = u2_dim1 + 1;
  1247. u2[i__1].r = 1., u2[i__1].i = 0.;
  1248. i__1 = *m - *p;
  1249. for (j = 2; j <= i__1; ++j) {
  1250. i__2 = j * u2_dim1 + 1;
  1251. u2[i__2].r = 0., u2[i__2].i = 0.;
  1252. i__2 = j + u2_dim1;
  1253. u2[i__2].r = 0., u2[i__2].i = 0.;
  1254. }
  1255. i__1 = *m - *p - 1;
  1256. i__2 = *m - *p - 1;
  1257. zlacpy_("L", &i__1, &i__2, &x21[x21_dim1 + 2], ldx21, &u2[(
  1258. u2_dim1 << 1) + 2], ldu2);
  1259. i__1 = *m - *p - 1;
  1260. i__2 = *m - *p - 1;
  1261. i__3 = *m - *p - 1;
  1262. zungqr_(&i__1, &i__2, &i__3, &u2[(u2_dim1 << 1) + 2], ldu2, &work[
  1263. itaup2], &work[iorgqr], &lorgqr, &childinfo);
  1264. }
  1265. if (wantv1t && *q > 0) {
  1266. i__1 = *m - *p;
  1267. zlacpy_("U", &i__1, q, &x21[x21_offset], ldx21, &v1t[v1t_offset],
  1268. ldv1t);
  1269. zunglq_(q, q, &r__, &v1t[v1t_offset], ldv1t, &work[itauq1], &work[
  1270. iorglq], &lorglq, &childinfo);
  1271. }
  1272. /* Simultaneously diagonalize X11 and X21. */
  1273. i__1 = *m - *q;
  1274. i__2 = *m - *p;
  1275. zbbcsd_("N", jobv1t, jobu2, jobu1, "T", m, &i__1, &i__2, &theta[1], &
  1276. rwork[iphi], cdum, &c__1, &v1t[v1t_offset], ldv1t, &u2[
  1277. u2_offset], ldu2, &u1[u1_offset], ldu1, &rwork[ib11d], &rwork[
  1278. ib11e], &rwork[ib12d], &rwork[ib12e], &rwork[ib21d], &rwork[
  1279. ib21e], &rwork[ib22d], &rwork[ib22e], &rwork[ibbcsd], &lbbcsd,
  1280. &childinfo);
  1281. /* Permute rows and columns to place identity submatrices in */
  1282. /* preferred positions */
  1283. if (*q > r__) {
  1284. i__1 = r__;
  1285. for (i__ = 1; i__ <= i__1; ++i__) {
  1286. iwork[i__] = *q - r__ + i__;
  1287. }
  1288. i__1 = *q;
  1289. for (i__ = r__ + 1; i__ <= i__1; ++i__) {
  1290. iwork[i__] = i__ - r__;
  1291. }
  1292. if (wantu1) {
  1293. zlapmt_(&c_false, p, q, &u1[u1_offset], ldu1, &iwork[1]);
  1294. }
  1295. if (wantv1t) {
  1296. zlapmr_(&c_false, q, q, &v1t[v1t_offset], ldv1t, &iwork[1]);
  1297. }
  1298. }
  1299. } else {
  1300. /* Case 4: R = M-Q */
  1301. /* Simultaneously bidiagonalize X11 and X21 */
  1302. i__1 = lorbdb - *m;
  1303. zunbdb4_(m, p, q, &x11[x11_offset], ldx11, &x21[x21_offset], ldx21, &
  1304. theta[1], &rwork[iphi], &work[itaup1], &work[itaup2], &work[
  1305. itauq1], &work[iorbdb], &work[iorbdb + *m], &i__1, &childinfo)
  1306. ;
  1307. /* Accumulate Householder reflectors */
  1308. if (wantu1 && *p > 0) {
  1309. zcopy_(p, &work[iorbdb], &c__1, &u1[u1_offset], &c__1);
  1310. i__1 = *p;
  1311. for (j = 2; j <= i__1; ++j) {
  1312. i__2 = j * u1_dim1 + 1;
  1313. u1[i__2].r = 0., u1[i__2].i = 0.;
  1314. }
  1315. i__1 = *p - 1;
  1316. i__2 = *m - *q - 1;
  1317. zlacpy_("L", &i__1, &i__2, &x11[x11_dim1 + 2], ldx11, &u1[(
  1318. u1_dim1 << 1) + 2], ldu1);
  1319. i__1 = *m - *q;
  1320. zungqr_(p, p, &i__1, &u1[u1_offset], ldu1, &work[itaup1], &work[
  1321. iorgqr], &lorgqr, &childinfo);
  1322. }
  1323. if (wantu2 && *m - *p > 0) {
  1324. i__1 = *m - *p;
  1325. zcopy_(&i__1, &work[iorbdb + *p], &c__1, &u2[u2_offset], &c__1);
  1326. i__1 = *m - *p;
  1327. for (j = 2; j <= i__1; ++j) {
  1328. i__2 = j * u2_dim1 + 1;
  1329. u2[i__2].r = 0., u2[i__2].i = 0.;
  1330. }
  1331. i__1 = *m - *p - 1;
  1332. i__2 = *m - *q - 1;
  1333. zlacpy_("L", &i__1, &i__2, &x21[x21_dim1 + 2], ldx21, &u2[(
  1334. u2_dim1 << 1) + 2], ldu2);
  1335. i__1 = *m - *p;
  1336. i__2 = *m - *p;
  1337. i__3 = *m - *q;
  1338. zungqr_(&i__1, &i__2, &i__3, &u2[u2_offset], ldu2, &work[itaup2],
  1339. &work[iorgqr], &lorgqr, &childinfo);
  1340. }
  1341. if (wantv1t && *q > 0) {
  1342. i__1 = *m - *q;
  1343. zlacpy_("U", &i__1, q, &x21[x21_offset], ldx21, &v1t[v1t_offset],
  1344. ldv1t);
  1345. i__1 = *p - (*m - *q);
  1346. i__2 = *q - (*m - *q);
  1347. zlacpy_("U", &i__1, &i__2, &x11[*m - *q + 1 + (*m - *q + 1) *
  1348. x11_dim1], ldx11, &v1t[*m - *q + 1 + (*m - *q + 1) *
  1349. v1t_dim1], ldv1t);
  1350. i__1 = -(*p) + *q;
  1351. i__2 = *q - *p;
  1352. zlacpy_("U", &i__1, &i__2, &x21[*m - *q + 1 + (*p + 1) * x21_dim1]
  1353. , ldx21, &v1t[*p + 1 + (*p + 1) * v1t_dim1], ldv1t);
  1354. zunglq_(q, q, q, &v1t[v1t_offset], ldv1t, &work[itauq1], &work[
  1355. iorglq], &lorglq, &childinfo);
  1356. }
  1357. /* Simultaneously diagonalize X11 and X21. */
  1358. i__1 = *m - *p;
  1359. i__2 = *m - *q;
  1360. zbbcsd_(jobu2, jobu1, "N", jobv1t, "N", m, &i__1, &i__2, &theta[1], &
  1361. rwork[iphi], &u2[u2_offset], ldu2, &u1[u1_offset], ldu1, cdum,
  1362. &c__1, &v1t[v1t_offset], ldv1t, &rwork[ib11d], &rwork[ib11e],
  1363. &rwork[ib12d], &rwork[ib12e], &rwork[ib21d], &rwork[ib21e], &
  1364. rwork[ib22d], &rwork[ib22e], &rwork[ibbcsd], &lbbcsd, &
  1365. childinfo);
  1366. /* Permute rows and columns to place identity submatrices in */
  1367. /* preferred positions */
  1368. if (*p > r__) {
  1369. i__1 = r__;
  1370. for (i__ = 1; i__ <= i__1; ++i__) {
  1371. iwork[i__] = *p - r__ + i__;
  1372. }
  1373. i__1 = *p;
  1374. for (i__ = r__ + 1; i__ <= i__1; ++i__) {
  1375. iwork[i__] = i__ - r__;
  1376. }
  1377. if (wantu1) {
  1378. zlapmt_(&c_false, p, p, &u1[u1_offset], ldu1, &iwork[1]);
  1379. }
  1380. if (wantv1t) {
  1381. zlapmr_(&c_false, p, q, &v1t[v1t_offset], ldv1t, &iwork[1]);
  1382. }
  1383. }
  1384. }
  1385. return;
  1386. /* End of ZUNCSD2BY1 */
  1387. } /* zuncsd2by1_ */