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FLA_Bsvd_iteracc_v.h File Reference

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FLA_Error FLA_Bsvd_iteracc_v_ops_var1 (int m_A, int n_GH, int ijTL, float tol, float thresh, float *buff_d, int inc_d, float *buff_e, int inc_e, scomplex *buff_G, int rs_G, int cs_G, scomplex *buff_H, int rs_H, int cs_H, int *n_iter_perf)
 
FLA_Error FLA_Bsvd_iteracc_v_opd_var1 (int m_A, int n_GH, int ijTL, double tol, double thresh, double *buff_d, int inc_d, double *buff_e, int inc_e, dcomplex *buff_G, int rs_G, int cs_G, dcomplex *buff_H, int rs_H, int cs_H, int *n_iter_perf)
 

Function Documentation

◆ FLA_Bsvd_iteracc_v_opd_var1()

FLA_Error FLA_Bsvd_iteracc_v_opd_var1 ( int m_A,
int n_GH,
int ijTL,
double tol,
double thresh,
double * buff_d,
int inc_d,
double * buff_e,
int inc_e,
dcomplex * buff_G,
int rs_G,
int cs_G,
dcomplex * buff_H,
int rs_H,
int cs_H,
int * n_iter_perf )
186{
187 FLA_Error r_val;
188 int i, k;
189 int k_iter = 0;
190 int n_deflations = 0;
191
192 // Iterate from back to front until all that is left is a 2x2.
193 for ( i = m_A - 1; i > 1; --i )
194 {
195 dcomplex* G1 = buff_G + (k_iter)*cs_G;
196 dcomplex* H1 = buff_H + (k_iter)*cs_H;
197 int m_ATL = i + 1;
198 int k_left = n_GH - k_iter;
199
200 /*------------------------------------------------------------*/
201
202 // Find a singular value of ATL submatrix.
203 r_val = FLA_Bsvd_sinval_v_opd_var1( m_ATL,
204 n_GH,
205 k_left,
206 tol,
207 thresh,
208 G1, rs_G, cs_G,
209 H1, rs_H, cs_H,
210 buff_d, inc_d,
211 buff_e, inc_e,
212 &k );
213
214 // Update local counters according to the results of the singular
215 // value search.
216 k_iter += k;
217 n_deflations += 1;
218
219 if ( r_val == FLA_FAILURE )
220 {
221#ifdef PRINTF
222 printf( "FLA_Bsvd_iteracc_v_opd_var1: failed to converge (m_A11 = %d) after %2d iters k_total=%d/%d\n", i, k, k_iter, n_G );
223#endif
224 *n_iter_perf = k_iter;
225 return n_deflations;
226 }
227
228#ifdef PRINTF
229 if ( r_val == i )
230 printf( "FLA_Bsvd_iteracc_v_opd_var1: found sv %22.15e in col %3d (n=%d) after %2d it k_tot=%d/%d\n", buff_d[ r_val*inc_d ], ijTL+r_val, m_ATL, k, k_iter, n_GH );
231 else
232 printf( "FLA_Bsvd_iteracc_v_opd_var1: split occurred in col %3d. (n=%d) after %2d it k_tot=%d/%d\n", r_val, m_ATL, k, k_iter, n_GH );
233#endif
234
235 // If the most recent singular value search put us at our
236 // limit for accumulated Givens rotation sets, return.
237 if ( k_iter == n_GH )
238 {
239 *n_iter_perf = k_iter;
240 return n_deflations;
241 }
242
243 // If r_val != i, then a split occurred somewhere within ATL.
244 // Therefore, we must recurse with subproblems.
245 if ( r_val != i )
246 {
247 int m_TLr = r_val + 1;
248 int m_BRr = m_ATL - m_TLr;
249 int ijTLr = 0;
250 int ijBRr = m_TLr;
251 int n_GHr = n_GH - k_iter;
252 double* dTL = buff_d + (0 )*inc_d;
253 double* eTL = buff_e + (0 )*inc_e;
254 dcomplex* GT = buff_G + (0 )*rs_G + (k_iter)*cs_G;
255 dcomplex* HT = buff_H + (0 )*rs_H + (k_iter)*cs_H;
256 double* dBR = buff_d + (ijBRr)*inc_d;
257 double* eBR = buff_e + (ijBRr)*inc_e;
258 dcomplex* GB = buff_G + (ijBRr)*rs_G + (k_iter)*cs_G;
259 dcomplex* HB = buff_H + (ijBRr)*rs_H + (k_iter)*cs_H;
260
261 int n_deflationsTL;
262 int n_deflationsBR;
263 int n_iter_perfTL;
264 int n_iter_perfBR;
265
266#ifdef PRINTF
267 printf( "FLA_Bsvd_iteracc_v_opd_var1: Deflation occurred in col %d\n", r_val );
268 printf( "FLA_Bsvd_iteracc_v_opd_var1: alpha11 alpha12 = %22.15e %22.15e\n", buff_d[r_val*inc_d], buff_e[(r_val)*inc_e] );
269 printf( "FLA_Bsvd_iteracc_v_opd_var1: alpha22 = %37.15e\n", buff_d[(r_val+1)*inc_d] );
270
271 printf( "FLA_Bsvd_iteracc_v_opd_var1: recursing: ijTLr m_TLr: %d %d\n", ijTLr, m_TLr );
272 printf( "FLA_Bsvd_iteracc_v_opd_var1: GB(0,0) i,j: %d %d\n", ijTL + m_TLr+1, k_iter );
273#endif
274 n_deflationsTL = FLA_Bsvd_iteracc_v_opd_var1( m_TLr,
275 n_GHr,
276 ijTL + ijTLr,
277 tol,
278 thresh,
279 dTL, inc_d,
280 eTL, inc_e,
281 GT, rs_G, cs_G,
282 HT, rs_H, cs_H,
283 &n_iter_perfTL );
284#ifdef PRINTF
285 printf( "FLA_Bsvd_iteracc_v_opd_var1: returning: ijTLr m_TLr: %d %d\n", ijTLr, m_TLr );
286 printf( "FLA_Bsvd_iteracc_v_opd_var1: recursing: ijBRr m_BRr: %d %d\n", ijBRr, m_BRr );
287 printf( "FLA_Bsvd_iteracc_v_opd_var1: GB(0,0) i,j: %d %d\n", ijTL + m_TLr+1, k_iter );
288#endif
289 n_deflationsBR = FLA_Bsvd_iteracc_v_opd_var1( m_BRr,
290 n_GHr,
291 ijTL + ijBRr,
292 tol,
293 thresh,
294 dBR, inc_d,
295 eBR, inc_e,
296 GB, rs_G, cs_G,
297 HB, rs_H, cs_H,
298 &n_iter_perfBR );
299#ifdef PRINTF
300 printf( "FLA_Bsvd_iteracc_v_opd_var1: returning: ijBRr m_BRr: %d %d\n", ijBRr, m_BRr );
301#endif
302
303 *n_iter_perf = k_iter + max( n_iter_perfTL, n_iter_perfBR );
304
305 return n_deflations + n_deflationsTL + n_deflationsBR;
306 }
307
308 /*------------------------------------------------------------*/
309 }
310
311 // Skip 1x1 matrices (and submatrices) entirely.
312 if ( m_A > 1 )
313 {
314 dcomplex* g1 = buff_G + (k_iter)*cs_G;
315 dcomplex* h1 = buff_H + (k_iter)*cs_H;
316
317 double* alpha11 = buff_d + (0 )*inc_d;
318 double* alpha12 = buff_e + (0 )*inc_e;
319 double* alpha22 = buff_d + (1 )*inc_d;
320
321 double smin;
322 double smax;
323
324 double gammaL;
325 double sigmaL;
326 double gammaR;
327 double sigmaR;
328
329 // Find the singular value decomposition of the remaining (or only)
330 // 2x2 submatrix.
331 FLA_Svv_2x2_opd( alpha11,
332 alpha12,
333 alpha22,
334 &smin,
335 &smax,
336 &gammaL,
337 &sigmaL,
338 &gammaR,
339 &sigmaR );
340
341 *alpha11 = smax;
342 *alpha22 = smin;
343
344 // Zero out the remaining diagonal.
345 *alpha12 = 0.0;
346
347 // Store the rotations.
348 g1[0].real = gammaL;
349 g1[0].imag = sigmaL;
350 h1[0].real = gammaR;
351 h1[0].imag = sigmaR;
352
353 // Update the local counters.
354 k_iter += 1;
355 n_deflations += 1;
356
357#ifdef PRINTF
358 printf( "FLA_Bsvd_iteracc_v_opd_var1: Svv sval %22.15e in col %3d (n=%d) after %2d it k_tot=%d/%d\n", buff_d[ 1*inc_d ], ijTL+1, 2, 1, k_iter, n_GH );
359 printf( "FLA_Bsvd_iteracc_v_opd_var1: Svv sval %22.15e in col %3d (n=%d) after %2d it k_tot=%d/%d\n", buff_d[ 0*inc_d ], ijTL+0, 2, 0, k_iter, n_GH );
360#endif
361 }
362
363 *n_iter_perf = k_iter;
364 return n_deflations;
365}
FLA_Bsvd_iteracc_v_opd_var1
FLA_Error FLA_Bsvd_iteracc_v_opd_var1(int m_A, int n_GH, int ijTL, double tol, double thresh, double *buff_d, int inc_d, double *buff_e, int inc_e, dcomplex *buff_G, int rs_G, int cs_G, dcomplex *buff_H, int rs_H, int cs_H, int *n_iter_perf)
Definition FLA_Bsvd_iteracc_v_opt_var1.c:176
FLA_Bsvd_sinval_v_opd_var1
FLA_Error FLA_Bsvd_sinval_v_opd_var1(int m_A, int n_GH, int n_iter_allowed, double tol, double thresh, dcomplex *buff_G, int rs_G, int cs_G, dcomplex *buff_H, int rs_H, int cs_H, double *buff_d, int inc_d, double *buff_e, int inc_e, int *n_iter)
Definition FLA_Bsvd_sinval_v_opt_var1.c:194
FLA_Error
int FLA_Error
Definition FLA_type_defs.h:47
FLA_Svv_2x2_opd
FLA_Error FLA_Svv_2x2_opd(double *alpha11, double *alpha12, double *alpha22, double *sigma1, double *sigma2, double *gammaL, double *sigmaL, double *gammaR, double *sigmaR)
Definition FLA_Svv_2x2.c:290
i
int i
Definition bl1_axmyv2.c:145
dcomplex
Definition blis_type_defs.h:138
dcomplex::real
double real
Definition blis_type_defs.h:139
dcomplex::imag
double imag
Definition blis_type_defs.h:139

References FLA_Bsvd_iteracc_v_opd_var1(), FLA_Bsvd_sinval_v_opd_var1(), FLA_Svv_2x2_opd(), i, dcomplex::imag, and dcomplex::real.

Referenced by FLA_Bsvd_ext_opd_var1(), FLA_Bsvd_ext_opz_var1(), FLA_Bsvd_iteracc_v_opd_var1(), FLA_Bsvd_v_opd_var1(), FLA_Bsvd_v_opd_var2(), FLA_Bsvd_v_opz_var1(), and FLA_Bsvd_v_opz_var2().

◆ FLA_Bsvd_iteracc_v_ops_var1()

FLA_Error FLA_Bsvd_iteracc_v_ops_var1 ( int m_A,
int n_GH,
int ijTL,
float tol,
float thresh,
float * buff_d,
int inc_d,
float * buff_e,
int inc_e,
scomplex * buff_G,
int rs_G,
int cs_G,
scomplex * buff_H,
int rs_H,
int cs_H,
int * n_iter_perf )
23{
24 FLA_Error r_val;
25 int i, k;
26 int k_iter = 0;
27 int n_deflations = 0;
28
29 // Iterate from back to front until all that is left is a 2x2.
30 for ( i = m_A - 1; i > 1; --i )
31 {
32 scomplex* G1 = buff_G + (k_iter)*cs_G;
33 scomplex* H1 = buff_H + (k_iter)*cs_H;
34 int m_ATL = i + 1;
35 int k_left = n_GH - k_iter;
36
37 /*------------------------------------------------------------*/
38
39 // Find a singular value of ATL submatrix.
40 r_val = FLA_Bsvd_sinval_v_ops_var1( m_ATL,
41 n_GH,
42 k_left,
43 tol,
44 thresh,
45 G1, rs_G, cs_G,
46 H1, rs_H, cs_H,
47 buff_d, inc_d,
48 buff_e, inc_e,
49 &k );
50
51 // Update local counters according to the results of the singular
52 // value search.
53 k_iter += k;
54 n_deflations += 1;
55
56 if ( r_val == FLA_FAILURE )
57 {
58 *n_iter_perf = k_iter;
59 return n_deflations;
60 }
61
62 // If the most recent singular value search put us at our
63 // limit for accumulated Givens rotation sets, return.
64 if ( k_iter == n_GH )
65 {
66 *n_iter_perf = k_iter;
67 return n_deflations;
68 }
69
70 // If r_val != i, then a split occurred somewhere within ATL.
71 // Therefore, we must recurse with subproblems.
72 if ( r_val != i )
73 {
74 int m_TLr = r_val + 1;
75 int m_BRr = m_ATL - m_TLr;
76 int ijTLr = 0;
77 int ijBRr = m_TLr;
78 int n_GHr = n_GH - k_iter;
79 float* dTL = buff_d + (0 )*inc_d;
80 float* eTL = buff_e + (0 )*inc_e;
81 scomplex* GT = buff_G + (0 )*rs_G + (k_iter)*cs_G;
82 scomplex* HT = buff_H + (0 )*rs_H + (k_iter)*cs_H;
83 float* dBR = buff_d + (ijBRr)*inc_d;
84 float* eBR = buff_e + (ijBRr)*inc_e;
85 scomplex* GB = buff_G + (ijBRr)*rs_G + (k_iter)*cs_G;
86 scomplex* HB = buff_H + (ijBRr)*rs_H + (k_iter)*cs_H;
87
88 int n_deflationsTL;
89 int n_deflationsBR;
90 int n_iter_perfTL;
91 int n_iter_perfBR;
92
93 n_deflationsTL = FLA_Bsvd_iteracc_v_ops_var1( m_TLr,
94 n_GHr,
95 ijTL + ijTLr,
96 tol,
97 thresh,
98 dTL, inc_d,
99 eTL, inc_e,
100 GT, rs_G, cs_G,
101 HT, rs_H, cs_H,
102 &n_iter_perfTL );
103 n_deflationsBR = FLA_Bsvd_iteracc_v_ops_var1( m_BRr,
104 n_GHr,
105 ijTL + ijBRr,
106 tol,
107 thresh,
108 dBR, inc_d,
109 eBR, inc_e,
110 GB, rs_G, cs_G,
111 HB, rs_H, cs_H,
112 &n_iter_perfBR );
113
114 *n_iter_perf = k_iter + max( n_iter_perfTL, n_iter_perfBR );
115
116 return n_deflations + n_deflationsTL + n_deflationsBR;
117 }
118
119 /*------------------------------------------------------------*/
120 }
121
122 // Skip 1x1 matrices (and submatrices) entirely.
123 if ( m_A > 1 )
124 {
125 scomplex* g1 = buff_G + (k_iter)*cs_G;
126 scomplex* h1 = buff_H + (k_iter)*cs_H;
127
128 float* alpha11 = buff_d + (0 )*inc_d;
129 float* alpha12 = buff_e + (0 )*inc_e;
130 float* alpha22 = buff_d + (1 )*inc_d;
131
132 float smin;
133 float smax;
134
135 float gammaL;
136 float sigmaL;
137 float gammaR;
138 float sigmaR;
139
140 // Find the singular value decomposition of the remaining (or only)
141 // 2x2 submatrix.
142 FLA_Svv_2x2_ops( alpha11,
143 alpha12,
144 alpha22,
145 &smin,
146 &smax,
147 &gammaL,
148 &sigmaL,
149 &gammaR,
150 &sigmaR );
151
152 *alpha11 = smax;
153 *alpha22 = smin;
154
155 // Zero out the remaining diagonal.
156 *alpha12 = 0.0F;
157
158 // Store the rotations.
159 g1[0].real = gammaL;
160 g1[0].imag = sigmaL;
161 h1[0].real = gammaR;
162 h1[0].imag = sigmaR;
163
164 // Update the local counters.
165 k_iter += 1;
166 n_deflations += 1;
167
168 }
169
170 *n_iter_perf = k_iter;
171 return n_deflations;
172}
FLA_Bsvd_iteracc_v_ops_var1
FLA_Error FLA_Bsvd_iteracc_v_ops_var1(int m_A, int n_GH, int ijTL, float tol, float thresh, float *buff_d, int inc_d, float *buff_e, int inc_e, scomplex *buff_G, int rs_G, int cs_G, scomplex *buff_H, int rs_H, int cs_H, int *n_iter_perf)
Definition FLA_Bsvd_iteracc_v_opt_var1.c:13
FLA_Bsvd_sinval_v_ops_var1
FLA_Error FLA_Bsvd_sinval_v_ops_var1(int m_A, int n_GH, int n_iter_allowed, float tol, float thresh, scomplex *buff_G, int rs_G, int cs_G, scomplex *buff_H, int rs_H, int cs_H, float *buff_d, int inc_d, float *buff_e, int inc_e, int *n_iter)
Definition FLA_Bsvd_sinval_v_opt_var1.c:96
FLA_Svv_2x2_ops
FLA_Error FLA_Svv_2x2_ops(float *alpha11, float *alpha12, float *alpha22, float *sigma1, float *sigma2, float *gammaL, float *sigmaL, float *gammaR, float *sigmaR)
Definition FLA_Svv_2x2.c:102
scomplex
Definition blis_type_defs.h:133
scomplex::imag
float imag
Definition blis_type_defs.h:134
scomplex::real
float real
Definition blis_type_defs.h:134

References FLA_Bsvd_iteracc_v_ops_var1(), FLA_Bsvd_sinval_v_ops_var1(), FLA_Svv_2x2_ops(), i, scomplex::imag, and scomplex::real.

Referenced by FLA_Bsvd_ext_opc_var1(), FLA_Bsvd_ext_ops_var1(), FLA_Bsvd_iteracc_v_ops_var1(), FLA_Bsvd_v_opc_var1(), and FLA_Bsvd_v_ops_var1().

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