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FLA_util_lapack_prototypes.h
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1/*
2
3 Copyright (C) 2014, The University of Texas at Austin
4
5 This file is part of libflame and is available under the 3-Clause
6 BSD license, which can be found in the LICENSE file at the top-level
7 directory, or at http://opensource.org/licenses/BSD-3-Clause
8
9*/
10
11// --- LAPACK-related utility prototypes ---------------------------------------
12
13FLA_Error FLA_Househ2_UT( FLA_Side side, FLA_Obj chi_1, FLA_Obj x2, FLA_Obj tau );
14FLA_Error FLA_Househ2_UT_l_ops( int m_x2,
15 float* chi_1,
16 float* x2, int inc_x2,
17 float* tau );
18FLA_Error FLA_Househ2_UT_l_opd( int m_x2,
19 double* chi_1,
20 double* x2, int inc_x2,
21 double* tau );
22FLA_Error FLA_Househ2_UT_l_opc( int m_x2,
23 scomplex* chi_1,
24 scomplex* x2, int inc_x2,
25 scomplex* tau );
26FLA_Error FLA_Househ2_UT_l_opz( int m_x2,
27 dcomplex* chi_1,
28 dcomplex* x2, int inc_x2,
29 dcomplex* tau );
30FLA_Error FLA_Househ2_UT_r_ops( int m_x2,
31 float* chi_1,
32 float* x2, int inc_x2,
33 float* tau );
34FLA_Error FLA_Househ2_UT_r_opd( int m_x2,
35 double* chi_1,
36 double* x2, int inc_x2,
37 double* tau );
38FLA_Error FLA_Househ2_UT_r_opc( int m_x2,
39 scomplex* chi_1,
40 scomplex* x2, int inc_x2,
41 scomplex* tau );
42FLA_Error FLA_Househ2_UT_r_opz( int m_x2,
43 dcomplex* chi_1,
44 dcomplex* x2, int inc_x2,
45 dcomplex* tau );
46
47FLA_Error FLA_Househ3UD_UT( FLA_Obj chi_1, FLA_Obj x2, FLA_Obj y2, FLA_Obj tau );
48FLA_Error FLA_Househ3UD_UT_ops( int m_x2,
49 int m_y2,
50 float* chi_1,
51 float* x2, int inc_x2,
52 float* y2, int inc_y2,
53 float* tau );
54FLA_Error FLA_Househ3UD_UT_opd( int m_x2,
55 int m_y2,
56 double* chi_1,
57 double* x2, int inc_x2,
58 double* y2, int inc_y2,
59 double* tau );
60FLA_Error FLA_Househ3UD_UT_opc( int m_x2,
61 int m_y2,
62 scomplex* chi_1,
63 scomplex* x2, int inc_x2,
64 scomplex* y2, int inc_y2,
65 scomplex* tau );
66FLA_Error FLA_Househ3UD_UT_opz( int m_x2,
67 int m_y2,
68 dcomplex* chi_1,
69 dcomplex* x2, int inc_x2,
70 dcomplex* y2, int inc_y2,
71 dcomplex* tau );
72
73FLA_Error FLA_Househ2s_UT( FLA_Side side, FLA_Obj chi_1, FLA_Obj x2, FLA_Obj alpha, FLA_Obj chi_1_minus_alpha, FLA_Obj tau );
74FLA_Error FLA_Househ2s_UT_l_ops( int m_x2,
75 float* chi_1,
76 float* x2, int inc_x2,
77 float* alpha,
78 float* chi_1_minus_alpha,
79 float* tau );
80FLA_Error FLA_Househ2s_UT_l_opd( int m_x2,
81 double* chi_1,
82 double* x2, int inc_x2,
83 double* alpha,
84 double* chi_1_minus_alpha,
85 double* tau );
86FLA_Error FLA_Househ2s_UT_l_opc( int m_x2,
87 scomplex* chi_1,
88 scomplex* x2, int inc_x2,
89 scomplex* alpha,
90 scomplex* chi_1_minus_alpha,
91 scomplex* tau );
92FLA_Error FLA_Househ2s_UT_l_opz( int m_x2,
93 dcomplex* chi_1,
94 dcomplex* x2, int inc_x2,
95 dcomplex* alpha,
96 dcomplex* chi_1_minus_alpha,
97 dcomplex* tau );
98FLA_Error FLA_Househ2s_UT_r_ops( int m_x2,
99 float* chi_1,
100 float* x2, int inc_x2,
101 float* alpha,
102 float* chi_1_minus_alpha,
103 float* tau );
104FLA_Error FLA_Househ2s_UT_r_opd( int m_x2,
105 double* chi_1,
106 double* x2, int inc_x2,
107 double* alpha,
108 double* chi_1_minus_alpha,
109 double* tau );
110FLA_Error FLA_Househ2s_UT_r_opc( int m_x2,
111 scomplex* chi_1,
112 scomplex* x2, int inc_x2,
113 scomplex* alpha,
114 scomplex* chi_1_minus_alpha,
115 scomplex* tau );
116FLA_Error FLA_Househ2s_UT_r_opz( int m_x2,
117 dcomplex* chi_1,
118 dcomplex* x2, int inc_x2,
119 dcomplex* alpha,
120 dcomplex* chi_1_minus_alpha,
121 dcomplex* tau );
122
123FLA_Error FLA_Hev_2x2( FLA_Obj alpha11, FLA_Obj alpha21, FLA_Obj alpha22,
124 FLA_Obj lambda1, FLA_Obj lambda2 );
125FLA_Error FLA_Hev_2x2_ops( float* buff_alpha11,
126 float* buff_alpha21,
127 float* buff_alpha22,
128 float* buff_lambda1,
129 float* buff_lambda2 );
130FLA_Error FLA_Hev_2x2_opd( double* buff_alpha11,
131 double* buff_alpha21,
132 double* buff_alpha22,
133 double* buff_lambda1,
134 double* buff_lambda2 );
135
136FLA_Error FLA_Hevv_2x2( FLA_Obj alpha11, FLA_Obj alpha21, FLA_Obj alpha22,
137 FLA_Obj lambda1, FLA_Obj lambda2,
138 FLA_Obj gamma1, FLA_Obj sigma1 );
139FLA_Error FLA_Hevv_2x2_ops( float* alpha11,
140 float* alpha21,
141 float* alpha22,
142 float* lambda1,
143 float* lambda2,
144 float* gamma1,
145 float* sigma1 );
146FLA_Error FLA_Hevv_2x2_opd( double* alpha11,
147 double* alpha21,
148 double* alpha22,
149 double* lambda1,
150 double* lambda2,
151 double* gamma1,
152 double* sigma1 );
153FLA_Error FLA_Hevv_2x2_opc( scomplex* alpha11,
154 scomplex* alpha21,
155 scomplex* alpha22,
156 float* lambda1,
157 float* lambda2,
158 float* gamma1,
159 scomplex* sigma1 );
160FLA_Error FLA_Hevv_2x2_opz( dcomplex* alpha11,
161 dcomplex* alpha21,
162 dcomplex* alpha22,
163 double* lambda1,
164 double* lambda2,
165 double* gamma1,
166 dcomplex* sigma1 );
167
168FLA_Error FLA_Wilkshift_tridiag( FLA_Obj delta1, FLA_Obj epsilon, FLA_Obj delta2, FLA_Obj kappa );
169FLA_Error FLA_Wilkshift_tridiag_ops( float delta1,
170 float epsilon,
171 float delta2,
172 float* kappa );
173FLA_Error FLA_Wilkshift_tridiag_opd( double delta1,
174 double epsilon,
175 double delta2,
176 double* kappa );
177
178FLA_Error FLA_Pythag2( FLA_Obj chi, FLA_Obj psi, FLA_Obj rho );
179FLA_Error FLA_Pythag2_ops( float* chi,
180 float* psi,
181 float* rho );
182FLA_Error FLA_Pythag2_opd( double* chi,
183 double* psi,
184 double* rho );
185
186FLA_Error FLA_Pythag3( FLA_Obj chi, FLA_Obj psi, FLA_Obj zeta, FLA_Obj rho );
187FLA_Error FLA_Pythag3_ops( float* chi,
188 float* psi,
189 float* zeta,
190 float* rho );
191FLA_Error FLA_Pythag3_opd( double* chi,
192 double* psi,
193 double* zeta,
194 double* rho );
195
196FLA_Error FLA_Sort_evd( FLA_Direct direct, FLA_Obj l, FLA_Obj V );
197FLA_Error FLA_Sort_evd_f_ops( int m_A,
198 float* l, int inc_l,
199 float* V, int rs_V, int cs_V );
200FLA_Error FLA_Sort_evd_b_ops( int m_A,
201 float* l, int inc_l,
202 float* V, int rs_V, int cs_V );
203FLA_Error FLA_Sort_evd_f_opd( int m_A,
204 double* l, int inc_l,
205 double* V, int rs_V, int cs_V );
206FLA_Error FLA_Sort_evd_b_opd( int m_A,
207 double* l, int inc_l,
208 double* V, int rs_V, int cs_V );
209FLA_Error FLA_Sort_evd_f_opc( int m_A,
210 float* l, int inc_l,
211 scomplex* V, int rs_V, int cs_V );
212FLA_Error FLA_Sort_evd_b_opc( int m_A,
213 float* l, int inc_l,
214 scomplex* V, int rs_V, int cs_V );
215FLA_Error FLA_Sort_evd_f_opz( int m_A,
216 double* l, int inc_l,
217 dcomplex* V, int rs_V, int cs_V );
218FLA_Error FLA_Sort_evd_b_opz( int m_A,
219 double* l, int inc_l,
220 dcomplex* V, int rs_V, int cs_V );
221
222FLA_Error FLA_Sort_bsvd_ext( FLA_Direct direct, FLA_Obj s,
223 FLA_Bool apply_U, FLA_Obj U,
224 FLA_Bool apply_V, FLA_Obj V,
225 FLA_Bool apply_C, FLA_Obj C );
226FLA_Error FLA_Sort_bsvd_ext_f_ops( int m_s, float* s, int inc_s,
227 int m_U, float* U, int rs_U, int cs_U,
228 int m_V, float* V, int rs_V, int cs_V,
229 int n_C, float* C, int rs_C, int cs_C );
230FLA_Error FLA_Sort_bsvd_ext_b_ops( int m_s, float* s, int inc_s,
231 int m_U, float* U, int rs_U, int cs_U,
232 int m_V, float* V, int rs_V, int cs_V,
233 int n_C, float* C, int rs_C, int cs_C );
234FLA_Error FLA_Sort_bsvd_ext_f_opd( int m_s, double* s, int inc_s,
235 int m_U, double* U, int rs_U, int cs_U,
236 int m_V, double* V, int rs_V, int cs_V,
237 int n_C, double* C, int rs_C, int cs_C );
238FLA_Error FLA_Sort_bsvd_ext_b_opd( int m_s, double* s, int inc_s,
239 int m_U, double* U, int rs_U, int cs_U,
240 int m_V, double* V, int rs_V, int cs_V,
241 int n_C, double* C, int rs_C, int cs_C );
242FLA_Error FLA_Sort_bsvd_ext_f_opc( int m_s, float* s, int inc_s,
243 int m_U, scomplex* U, int rs_U, int cs_U,
244 int m_V, scomplex* V, int rs_V, int cs_V,
245 int n_C, scomplex* C, int rs_C, int cs_C );
246FLA_Error FLA_Sort_bsvd_ext_b_opc( int m_s, float* s, int inc_s,
247 int m_U, scomplex* U, int rs_U, int cs_U,
248 int m_V, scomplex* V, int rs_V, int cs_V,
249 int n_C, scomplex* C, int rs_C, int cs_C );
250FLA_Error FLA_Sort_bsvd_ext_f_opz( int m_s, double* s, int inc_s,
251 int m_U, dcomplex* U, int rs_U, int cs_U,
252 int m_V, dcomplex* V, int rs_V, int cs_V,
253 int n_C, dcomplex* C, int rs_C, int cs_C );
254FLA_Error FLA_Sort_bsvd_ext_b_opz( int m_s, double* s, int inc_s,
255 int m_U, dcomplex* U, int rs_U, int cs_U,
256 int m_V, dcomplex* V, int rs_V, int cs_V,
257 int n_C, dcomplex* C, int rs_C, int cs_C );
258
259FLA_Error FLA_Sort_svd( FLA_Direct direct, FLA_Obj s, FLA_Obj U, FLA_Obj V );
260FLA_Error FLA_Sort_svd_f_ops( int m_U,
261 int n_V,
262 float* s, int inc_s,
263 float* U, int rs_U, int cs_U,
264 float* V, int rs_V, int cs_V );
265FLA_Error FLA_Sort_svd_b_ops( int m_U,
266 int n_V,
267 float* s, int inc_s,
268 float* U, int rs_U, int cs_U,
269 float* V, int rs_V, int cs_V );
270FLA_Error FLA_Sort_svd_f_opd( int m_U,
271 int n_V,
272 double* s, int inc_s,
273 double* U, int rs_U, int cs_U,
274 double* V, int rs_V, int cs_V );
275FLA_Error FLA_Sort_svd_b_opd( int m_U,
276 int n_V,
277 double* s, int inc_s,
278 double* U, int rs_U, int cs_U,
279 double* V, int rs_V, int cs_V );
280FLA_Error FLA_Sort_svd_f_opc( int m_U,
281 int n_V,
282 float* s, int inc_s,
283 scomplex* U, int rs_U, int cs_U,
284 scomplex* V, int rs_V, int cs_V );
285FLA_Error FLA_Sort_svd_b_opc( int m_U,
286 int n_V,
287 float* s, int inc_s,
288 scomplex* U, int rs_U, int cs_U,
289 scomplex* V, int rs_V, int cs_V );
290FLA_Error FLA_Sort_svd_f_opz( int m_U,
291 int n_V,
292 double* s, int inc_s,
293 dcomplex* U, int rs_U, int cs_U,
294 dcomplex* V, int rs_V, int cs_V );
295FLA_Error FLA_Sort_svd_b_opz( int m_U,
296 int n_V,
297 double* s, int inc_s,
298 dcomplex* U, int rs_U, int cs_U,
299 dcomplex* V, int rs_V, int cs_V );
300
301FLA_Error FLA_Sv_2x2( FLA_Obj alpha11, FLA_Obj alpha12, FLA_Obj alpha22,
302 FLA_Obj sigma1, FLA_Obj sigma2 );
303FLA_Error FLA_Sv_2x2_ops( float* alpha11,
304 float* alpha12,
305 float* alpha22,
306 float* sigma1,
307 float* sigma2 );
308FLA_Error FLA_Sv_2x2_opd( double* alpha11,
309 double* alpha12,
310 double* alpha22,
311 double* sigma1,
312 double* sigma2 );
313
314FLA_Error FLA_Svv_2x2( FLA_Obj alpha11, FLA_Obj alpha12, FLA_Obj alpha22,
315 FLA_Obj sigma1, FLA_Obj sigma2,
316 FLA_Obj gammaL, FLA_Obj sigmaL,
317 FLA_Obj gammaR, FLA_Obj sigmaR );
318FLA_Error FLA_Svv_2x2_ops( float* alpha11,
319 float* alpha12,
320 float* alpha22,
321 float* sigma1,
322 float* sigma2,
323 float* gammaL,
324 float* sigmaL,
325 float* gammaR,
326 float* sigmaR );
327FLA_Error FLA_Svv_2x2_opd( double* alpha11,
328 double* alpha12,
329 double* alpha22,
330 double* sigma1,
331 double* sigma2,
332 double* gammaL,
333 double* sigmaL,
334 double* gammaR,
335 double* sigmaR );
336
337FLA_Error FLA_Mach_params( FLA_Machval machval, FLA_Obj val );
338float FLA_Mach_params_ops( FLA_Machval machval );
339double FLA_Mach_params_opd( FLA_Machval machval );
340
341FLA_Error FLA_Apply_diag_matrix( FLA_Side side, FLA_Conj conj, FLA_Obj x, FLA_Obj A );
342FLA_Error FLA_Shift_pivots_to( FLA_Pivot_type ptype, FLA_Obj p );
343FLA_Error FLA_Form_perm_matrix( FLA_Obj p, FLA_Obj A );
344FLA_Error FLA_LU_find_zero_on_diagonal( FLA_Obj A );
345
346// --- f2c-converted routine prototypes ----------------------------------------
347
348doublereal fla_dlamch( char* cmach, ftnlen cmach_len );
349real fla_slamch( char* cmach, ftnlen cmach_len );
350logical fla_lsame( char* ca, char* cb, ftnlen ca_len, ftnlen cb_len );
351double fla_pow_di( doublereal* a, integer* n );
352real fla_pow_ri( real* a, integer* n );
353
354// --- LAPACK-related utility check routine prototypes -------------------------
355
356FLA_Error FLA_Househ2_UT_check( FLA_Side side, FLA_Obj chi_1, FLA_Obj x2, FLA_Obj tau );
357FLA_Error FLA_Househ3UD_UT_check( FLA_Obj chi_1, FLA_Obj x2, FLA_Obj y2, FLA_Obj tau );
358FLA_Error FLA_Househ2s_UT_check( FLA_Side side, FLA_Obj chi_1, FLA_Obj x2, FLA_Obj alpha, FLA_Obj chi_1_minus_alpha, FLA_Obj tau );
359
360FLA_Error FLA_Givens2_check( FLA_Obj chi_1, FLA_Obj chi_2, FLA_Obj gamma, FLA_Obj sigma, FLA_Obj chi_1_new );
361FLA_Error FLA_Apply_GTG_check( FLA_Obj gamma, FLA_Obj sigma, FLA_Obj delta1, FLA_Obj epsilon1, FLA_Obj delta2 );
362FLA_Error FLA_Apply_G_1x2_check( FLA_Obj gamma, FLA_Obj sigma, FLA_Obj beta, FLA_Obj epsilon );
363FLA_Error FLA_Apply_G_mx2_check( FLA_Obj gamma, FLA_Obj sigma, FLA_Obj a1, FLA_Obj a2 );
364FLA_Error FLA_Apply_G_check( FLA_Side side, FLA_Direct direct, FLA_Obj G, FLA_Obj A );
365FLA_Error FLA_Wilkshift_tridiag_check( FLA_Obj delta1, FLA_Obj epsilon, FLA_Obj delta2, FLA_Obj kappa );
366FLA_Error FLA_Wilkshift_bidiag_check( FLA_Obj epsilon1, FLA_Obj delta1, FLA_Obj epsilon2, FLA_Obj delta2, FLA_Obj kappa );
367FLA_Error FLA_Introduce_bulge_check( FLA_Obj shift, FLA_Obj gamma, FLA_Obj sigma, FLA_Obj delta1, FLA_Obj epsilon1, FLA_Obj delta2, FLA_Obj beta, FLA_Obj epsilon2 );
368FLA_Error FLA_Mach_params_check( FLA_Machval machval, FLA_Obj val );
369
370FLA_Error FLA_Sort_evd_check( FLA_Direct direct, FLA_Obj l, FLA_Obj V );
371FLA_Error FLA_Sort_svd_check( FLA_Direct direct, FLA_Obj s, FLA_Obj U, FLA_Obj V );
372
373FLA_Error FLA_Apply_diag_matrix_check( FLA_Side side, FLA_Conj conj, FLA_Obj x, FLA_Obj A );
374FLA_Error FLA_Shift_pivots_to_check( FLA_Pivot_type ptype, FLA_Obj p );
375FLA_Error FLA_Form_perm_matrix_check( FLA_Obj p, FLA_Obj A );
376FLA_Error FLA_LU_find_zero_on_diagonal_check( FLA_Obj A );
377
doublereal
double doublereal
Definition FLA_f2c.h:31
ftnlen
short ftnlen
Definition FLA_f2c.h:61
integer
int integer
Definition FLA_f2c.h:25
logical
int logical
Definition FLA_f2c.h:36
real
float real
Definition FLA_f2c.h:30
FLA_Error
int FLA_Error
Definition FLA_type_defs.h:47
FLA_Machval
int FLA_Machval
Definition FLA_type_defs.h:66
FLA_Side
int FLA_Side
Definition FLA_type_defs.h:51
FLA_Conj
int FLA_Conj
Definition FLA_type_defs.h:54
FLA_Bool
int FLA_Bool
Definition FLA_type_defs.h:46
FLA_Pivot_type
int FLA_Pivot_type
Definition FLA_type_defs.h:57
FLA_Direct
int FLA_Direct
Definition FLA_type_defs.h:58
FLA_LU_find_zero_on_diagonal
FLA_Error FLA_LU_find_zero_on_diagonal(FLA_Obj A)
Definition FLA_LU_find_zero_on_diagonal.c:13
FLA_Pythag2
FLA_Error FLA_Pythag2(FLA_Obj chi, FLA_Obj psi, FLA_Obj rho)
Definition FLA_Pythag2.c:13
FLA_Hev_2x2
FLA_Error FLA_Hev_2x2(FLA_Obj alpha11, FLA_Obj alpha21, FLA_Obj alpha22, FLA_Obj lambda1, FLA_Obj lambda2)
Definition FLA_Hev_2x2.c:13
FLA_Sort_svd_b_ops
FLA_Error FLA_Sort_svd_b_ops(int m_U, int n_V, float *s, int inc_s, float *U, int rs_U, int cs_U, float *V, int rs_V, int cs_V)
Definition FLA_Sort_svd.c:143
FLA_Shift_pivots_to
FLA_Error FLA_Shift_pivots_to(FLA_Pivot_type ptype, FLA_Obj p)
Definition FLA_Shift_pivots_to.c:13
FLA_Hevv_2x2_opd
FLA_Error FLA_Hevv_2x2_opd(double *alpha11, double *alpha21, double *alpha22, double *lambda1, double *lambda2, double *gamma1, double *sigma1)
Definition FLA_Hevv_2x2.c:249
FLA_Sort_evd_f_ops
FLA_Error FLA_Sort_evd_f_ops(int m_A, float *l, int inc_l, float *V, int rs_V, int cs_V)
Definition FLA_Sort_evd.c:109
FLA_Sort_svd_f_opc
FLA_Error FLA_Sort_svd_f_opc(int m_U, int n_V, float *s, int inc_s, scomplex *U, int rs_U, int cs_U, scomplex *V, int rs_V, int cs_V)
Definition FLA_Sort_svd.c:236
FLA_Sort_evd
FLA_Error FLA_Sort_evd(FLA_Direct direct, FLA_Obj l, FLA_Obj V)
Definition FLA_Sort_evd.c:13
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
FLA_Shift_pivots_to_check
FLA_Error FLA_Shift_pivots_to_check(FLA_Pivot_type ptype, FLA_Obj p)
Definition FLA_Shift_pivots_to_check.c:13
FLA_Sort_bsvd_ext_f_opd
FLA_Error FLA_Sort_bsvd_ext_f_opd(int m_s, double *s, int inc_s, int m_U, double *U, int rs_U, int cs_U, int m_V, double *V, int rs_V, int cs_V, int n_C, double *C, int rs_C, int cs_C)
Definition FLA_Sort_bsvd_ext.c:203
FLA_Sort_evd_b_opz
FLA_Error FLA_Sort_evd_b_opz(int m_A, double *l, int inc_l, dcomplex *V, int rs_V, int cs_V)
Definition FLA_Sort_evd.c:245
FLA_Wilkshift_bidiag_check
FLA_Error FLA_Wilkshift_bidiag_check(FLA_Obj epsilon1, FLA_Obj delta1, FLA_Obj epsilon2, FLA_Obj delta2, FLA_Obj kappa)
FLA_Apply_diag_matrix
FLA_Error FLA_Apply_diag_matrix(FLA_Side side, FLA_Conj conj, FLA_Obj x, FLA_Obj A)
Definition FLA_Apply_diag_matrix.c:13
FLA_Mach_params_check
FLA_Error FLA_Mach_params_check(FLA_Machval machval, FLA_Obj val)
Definition FLA_Mach_params_check.c:13
fla_slamch
real fla_slamch(char *cmach, ftnlen cmach_len)
Definition fla_slamch.c:56
FLA_Sort_svd
FLA_Error FLA_Sort_svd(FLA_Direct direct, FLA_Obj s, FLA_Obj U, FLA_Obj V)
Definition FLA_Sort_svd.c:13
FLA_Househ2s_UT_l_opd
FLA_Error FLA_Househ2s_UT_l_opd(int m_x2, double *chi_1, double *x2, int inc_x2, double *alpha, double *chi_1_minus_alpha, double *tau)
Definition FLA_Househ2s_UT.c:237
FLA_Househ2s_UT_check
FLA_Error FLA_Househ2s_UT_check(FLA_Side side, FLA_Obj chi_1, FLA_Obj x2, FLA_Obj alpha, FLA_Obj chi_1_minus_alpha, FLA_Obj tau)
Definition FLA_Househ2s_UT_check.c:13
FLA_Sort_bsvd_ext_f_ops
FLA_Error FLA_Sort_bsvd_ext_f_ops(int m_s, float *s, int inc_s, int m_U, float *U, int rs_U, int cs_U, int m_V, float *V, int rs_V, int cs_V, int n_C, float *C, int rs_C, int cs_C)
Definition FLA_Sort_bsvd_ext.c:181
FLA_Form_perm_matrix_check
FLA_Error FLA_Form_perm_matrix_check(FLA_Obj p, FLA_Obj A)
Definition FLA_Form_perm_matrix_check.c:13
fla_dlamch
doublereal fla_dlamch(char *cmach, ftnlen cmach_len)
Definition fla_dlamch.c:56
FLA_Givens2_check
FLA_Error FLA_Givens2_check(FLA_Obj chi_1, FLA_Obj chi_2, FLA_Obj gamma, FLA_Obj sigma, FLA_Obj chi_1_new)
Definition FLA_Givens2_check.c:13
FLA_Mach_params_opd
double FLA_Mach_params_opd(FLA_Machval machval)
Definition FLA_Mach_params.c:74
FLA_Mach_params_ops
float FLA_Mach_params_ops(FLA_Machval machval)
Definition FLA_Mach_params.c:47
FLA_Sort_evd_b_ops
FLA_Error FLA_Sort_evd_b_ops(int m_A, float *l, int inc_l, float *V, int rs_V, int cs_V)
Definition FLA_Sort_evd.c:116
FLA_Svv_2x2
FLA_Error FLA_Svv_2x2(FLA_Obj alpha11, FLA_Obj alpha12, FLA_Obj alpha22, FLA_Obj sigma1, FLA_Obj sigma2, FLA_Obj gammaL, FLA_Obj sigmaL, FLA_Obj gammaR, FLA_Obj sigmaR)
Definition FLA_Svv_2x2.c:13
FLA_Sort_bsvd_ext_b_opd
FLA_Error FLA_Sort_bsvd_ext_b_opd(int m_s, double *s, int inc_s, int m_U, double *U, int rs_U, int cs_U, int m_V, double *V, int rs_V, int cs_V, int n_C, double *C, int rs_C, int cs_C)
Definition FLA_Sort_bsvd_ext.c:213
FLA_Sv_2x2
FLA_Error FLA_Sv_2x2(FLA_Obj alpha11, FLA_Obj alpha12, FLA_Obj alpha22, FLA_Obj sigma1, FLA_Obj sigma2)
Definition FLA_Sv_2x2.c:13
FLA_Househ2_UT_l_opz
FLA_Error FLA_Househ2_UT_l_opz(int m_x2, dcomplex *chi_1, dcomplex *x2, int inc_x2, dcomplex *tau)
Definition FLA_Househ2_UT.c:521
FLA_Househ3UD_UT_opd
FLA_Error FLA_Househ3UD_UT_opd(int m_x2, int m_y2, double *chi_1, double *x2, int inc_x2, double *y2, int inc_y2, double *tau)
Definition FLA_Househ3UD_UT.c:267
FLA_Apply_G_mx2_check
FLA_Error FLA_Apply_G_mx2_check(FLA_Obj gamma, FLA_Obj sigma, FLA_Obj a1, FLA_Obj a2)
Definition FLA_Apply_G_mx2_check.c:13
FLA_Househ3UD_UT_opc
FLA_Error FLA_Househ3UD_UT_opc(int m_x2, int m_y2, scomplex *chi_1, scomplex *x2, int inc_x2, scomplex *y2, int inc_y2, scomplex *tau)
Definition FLA_Househ3UD_UT.c:393
FLA_Househ2s_UT_l_ops
FLA_Error FLA_Househ2s_UT_l_ops(int m_x2, float *chi_1, float *x2, int inc_x2, float *alpha, float *chi_1_minus_alpha, float *tau)
Definition FLA_Househ2s_UT.c:142
FLA_Househ2_UT_r_opd
FLA_Error FLA_Househ2_UT_r_opd(int m_x2, double *chi_1, double *x2, int inc_x2, double *tau)
Definition FLA_Househ2_UT.c:664
fla_lsame
logical fla_lsame(char *ca, char *cb, ftnlen ca_len, ftnlen cb_len)
Definition fla_lsame.c:20
FLA_Pythag3_opd
FLA_Error FLA_Pythag3_opd(double *chi, double *psi, double *zeta, double *rho)
Definition FLA_Pythag3.c:112
FLA_Sort_svd_f_opd
FLA_Error FLA_Sort_svd_f_opd(int m_U, int n_V, double *s, int inc_s, double *U, int rs_U, int cs_U, double *V, int rs_V, int cs_V)
Definition FLA_Sort_svd.c:152
FLA_Sort_svd_check
FLA_Error FLA_Sort_svd_check(FLA_Direct direct, FLA_Obj s, FLA_Obj U, FLA_Obj V)
Definition FLA_Sort_svd_check.c:13
FLA_Pythag2_opd
FLA_Error FLA_Pythag2_opd(double *chi, double *psi, double *rho)
Definition FLA_Pythag2.c:99
FLA_Hevv_2x2
FLA_Error FLA_Hevv_2x2(FLA_Obj alpha11, FLA_Obj alpha21, FLA_Obj alpha22, FLA_Obj lambda1, FLA_Obj lambda2, FLA_Obj gamma1, FLA_Obj sigma1)
Definition FLA_Hevv_2x2.c:13
FLA_Apply_G_1x2_check
FLA_Error FLA_Apply_G_1x2_check(FLA_Obj gamma, FLA_Obj sigma, FLA_Obj beta, FLA_Obj epsilon)
Definition FLA_Apply_G_1x2_check.c:13
FLA_Househ3UD_UT_opz
FLA_Error FLA_Househ3UD_UT_opz(int m_x2, int m_y2, dcomplex *chi_1, dcomplex *x2, int inc_x2, dcomplex *y2, int inc_y2, dcomplex *tau)
Definition FLA_Househ3UD_UT.c:527
FLA_Apply_G_check
FLA_Error FLA_Apply_G_check(FLA_Side side, FLA_Direct direct, FLA_Obj G, FLA_Obj A)
Definition FLA_Apply_G_check.c:13
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
FLA_Househ2_UT_l_ops
FLA_Error FLA_Househ2_UT_l_ops(int m_x2, float *chi_1, float *x2, int inc_x2, float *tau)
Definition FLA_Househ2_UT.c:160
FLA_Introduce_bulge_check
FLA_Error FLA_Introduce_bulge_check(FLA_Obj shift, FLA_Obj gamma, FLA_Obj sigma, FLA_Obj delta1, FLA_Obj epsilon1, FLA_Obj delta2, FLA_Obj beta, FLA_Obj epsilon2)
Definition FLA_Introduce_bulge_check.c:13
FLA_Sort_evd_check
FLA_Error FLA_Sort_evd_check(FLA_Direct direct, FLA_Obj l, FLA_Obj V)
Definition FLA_Sort_evd_check.c:13
FLA_Form_perm_matrix
FLA_Error FLA_Form_perm_matrix(FLA_Obj p, FLA_Obj A)
Definition FLA_Form_perm_matrix.c:13
FLA_Wilkshift_tridiag
FLA_Error FLA_Wilkshift_tridiag(FLA_Obj delta1, FLA_Obj epsilon, FLA_Obj delta2, FLA_Obj kappa)
Definition FLA_Wilkshift_tridiag.c:13
FLA_Househ2s_UT_r_opz
FLA_Error FLA_Househ2s_UT_r_opz(int m_x2, dcomplex *chi_1, dcomplex *x2, int inc_x2, dcomplex *alpha, dcomplex *chi_1_minus_alpha, dcomplex *tau)
Definition FLA_Househ2s_UT.c:610
FLA_Sort_svd_b_opz
FLA_Error FLA_Sort_svd_b_opz(int m_U, int n_V, double *s, int inc_s, dcomplex *U, int rs_U, int cs_U, dcomplex *V, int rs_V, int cs_V)
Definition FLA_Sort_svd.c:296
FLA_Househ2s_UT_l_opz
FLA_Error FLA_Househ2s_UT_l_opz(int m_x2, dcomplex *chi_1, dcomplex *x2, int inc_x2, dcomplex *alpha, dcomplex *chi_1_minus_alpha, dcomplex *tau)
Definition FLA_Househ2s_UT.c:443
FLA_Hev_2x2_opd
FLA_Error FLA_Hev_2x2_opd(double *buff_alpha11, double *buff_alpha21, double *buff_alpha22, double *buff_lambda1, double *buff_lambda2)
Definition FLA_Hev_2x2.c:149
FLA_Househ2_UT_r_ops
FLA_Error FLA_Househ2_UT_r_ops(int m_x2, float *chi_1, float *x2, int inc_x2, float *tau)
Definition FLA_Househ2_UT.c:651
FLA_Sort_bsvd_ext_f_opc
FLA_Error FLA_Sort_bsvd_ext_f_opc(int m_s, float *s, int inc_s, int m_U, scomplex *U, int rs_U, int cs_U, int m_V, scomplex *V, int rs_V, int cs_V, int n_C, scomplex *C, int rs_C, int cs_C)
Definition FLA_Sort_bsvd_ext.c:225
FLA_Apply_GTG_check
FLA_Error FLA_Apply_GTG_check(FLA_Obj gamma, FLA_Obj sigma, FLA_Obj delta1, FLA_Obj epsilon1, FLA_Obj delta2)
Definition FLA_Apply_GTG_check.c:13
FLA_Househ2_UT_l_opd
FLA_Error FLA_Househ2_UT_l_opd(int m_x2, double *chi_1, double *x2, int inc_x2, double *tau)
Definition FLA_Househ2_UT.c:274
FLA_Househ2_UT_r_opz
FLA_Error FLA_Househ2_UT_r_opz(int m_x2, dcomplex *chi_1, dcomplex *x2, int inc_x2, dcomplex *tau)
Definition FLA_Househ2_UT.c:693
fla_pow_di
double fla_pow_di(doublereal *a, integer *n)
Definition fla_dlamch.c:26
FLA_Sort_svd_f_ops
FLA_Error FLA_Sort_svd_f_ops(int m_U, int n_V, float *s, int inc_s, float *U, int rs_U, int cs_U, float *V, int rs_V, int cs_V)
Definition FLA_Sort_svd.c:134
fla_pow_ri
real fla_pow_ri(real *a, integer *n)
Definition fla_slamch.c:26
FLA_LU_find_zero_on_diagonal_check
FLA_Error FLA_LU_find_zero_on_diagonal_check(FLA_Obj A)
Definition FLA_LU_find_zero_on_diagonal_check.c:13
FLA_Househ3UD_UT
FLA_Error FLA_Househ3UD_UT(FLA_Obj chi_1, FLA_Obj x2, FLA_Obj y2, FLA_Obj tau)
Definition FLA_Househ3UD_UT.c:16
FLA_Pythag3
FLA_Error FLA_Pythag3(FLA_Obj chi, FLA_Obj psi, FLA_Obj zeta, FLA_Obj rho)
Definition FLA_Pythag3.c:13
FLA_Hevv_2x2_opc
FLA_Error FLA_Hevv_2x2_opc(scomplex *alpha11, scomplex *alpha21, scomplex *alpha22, float *lambda1, float *lambda2, float *gamma1, scomplex *sigma1)
Definition FLA_Hevv_2x2.c:363
FLA_Sort_bsvd_ext_b_ops
FLA_Error FLA_Sort_bsvd_ext_b_ops(int m_s, float *s, int inc_s, int m_U, float *U, int rs_U, int cs_U, int m_V, float *V, int rs_V, int cs_V, int n_C, float *C, int rs_C, int cs_C)
Definition FLA_Sort_bsvd_ext.c:191
FLA_Hevv_2x2_ops
FLA_Error FLA_Hevv_2x2_ops(float *alpha11, float *alpha21, float *alpha22, float *lambda1, float *lambda2, float *gamma1, float *sigma1)
Definition FLA_Hevv_2x2.c:135
FLA_Sv_2x2_opd
FLA_Error FLA_Sv_2x2_opd(double *alpha11, double *alpha12, double *alpha22, double *sigma1, double *sigma2)
Definition FLA_Sv_2x2.c:166
FLA_Sort_svd_b_opd
FLA_Error FLA_Sort_svd_b_opd(int m_U, int n_V, double *s, int inc_s, double *U, int rs_U, int cs_U, double *V, int rs_V, int cs_V)
Definition FLA_Sort_svd.c:194
FLA_Househ2s_UT_l_opc
FLA_Error FLA_Househ2s_UT_l_opc(int m_x2, scomplex *chi_1, scomplex *x2, int inc_x2, scomplex *alpha, scomplex *chi_1_minus_alpha, scomplex *tau)
Definition FLA_Househ2s_UT.c:332
FLA_Househ2_UT_r_opc
FLA_Error FLA_Househ2_UT_r_opc(int m_x2, scomplex *chi_1, scomplex *x2, int inc_x2, scomplex *tau)
Definition FLA_Househ2_UT.c:677
FLA_Pythag3_ops
FLA_Error FLA_Pythag3_ops(float *chi, float *psi, float *zeta, float *rho)
Definition FLA_Pythag3.c:71
FLA_Sort_bsvd_ext_b_opz
FLA_Error FLA_Sort_bsvd_ext_b_opz(int m_s, double *s, int inc_s, int m_U, dcomplex *U, int rs_U, int cs_U, int m_V, dcomplex *V, int rs_V, int cs_V, int n_C, dcomplex *C, int rs_C, int cs_C)
Definition FLA_Sort_bsvd_ext.c:257
FLA_Pythag2_ops
FLA_Error FLA_Pythag2_ops(float *chi, float *psi, float *rho)
Definition FLA_Pythag2.c:67
FLA_Sort_evd_f_opz
FLA_Error FLA_Sort_evd_f_opz(int m_A, double *l, int inc_l, dcomplex *V, int rs_V, int cs_V)
Definition FLA_Sort_evd.c:209
FLA_Sort_svd_b_opc
FLA_Error FLA_Sort_svd_b_opc(int m_U, int n_V, float *s, int inc_s, scomplex *U, int rs_U, int cs_U, scomplex *V, int rs_V, int cs_V)
Definition FLA_Sort_svd.c:245
FLA_Wilkshift_tridiag_ops
FLA_Error FLA_Wilkshift_tridiag_ops(float delta1, float epsilon, float delta2, float *kappa)
Definition FLA_Wilkshift_tridiag.c:105
FLA_Sort_bsvd_ext_f_opz
FLA_Error FLA_Sort_bsvd_ext_f_opz(int m_s, double *s, int inc_s, int m_U, dcomplex *U, int rs_U, int cs_U, int m_V, dcomplex *V, int rs_V, int cs_V, int n_C, dcomplex *C, int rs_C, int cs_C)
Definition FLA_Sort_bsvd_ext.c:247
FLA_Sort_bsvd_ext_b_opc
FLA_Error FLA_Sort_bsvd_ext_b_opc(int m_s, float *s, int inc_s, int m_U, scomplex *U, int rs_U, int cs_U, int m_V, scomplex *V, int rs_V, int cs_V, int n_C, scomplex *C, int rs_C, int cs_C)
Definition FLA_Sort_bsvd_ext.c:235
FLA_Hev_2x2_ops
FLA_Error FLA_Hev_2x2_ops(float *buff_alpha11, float *buff_alpha21, float *buff_alpha22, float *buff_lambda1, float *buff_lambda2)
Definition FLA_Hev_2x2.c:90
FLA_Househ2_UT_check
FLA_Error FLA_Househ2_UT_check(FLA_Side side, FLA_Obj chi_1, FLA_Obj x2, FLA_Obj tau)
Definition FLA_Househ2_UT_check.c:13
FLA_Hevv_2x2_opz
FLA_Error FLA_Hevv_2x2_opz(dcomplex *alpha11, dcomplex *alpha21, dcomplex *alpha22, double *lambda1, double *lambda2, double *gamma1, dcomplex *sigma1)
Definition FLA_Hevv_2x2.c:378
FLA_Househ2s_UT
FLA_Error FLA_Househ2s_UT(FLA_Side side, FLA_Obj chi_1, FLA_Obj x2, FLA_Obj alpha, FLA_Obj chi_1_minus_alpha, FLA_Obj tau)
Definition FLA_Househ2s_UT.c:16
FLA_Househ2s_UT_r_opd
FLA_Error FLA_Househ2s_UT_r_opd(int m_x2, double *chi_1, double *x2, int inc_x2, double *alpha, double *chi_1_minus_alpha, double *tau)
Definition FLA_Househ2s_UT.c:572
FLA_Sv_2x2_ops
FLA_Error FLA_Sv_2x2_ops(float *alpha11, float *alpha12, float *alpha22, float *sigma1, float *sigma2)
Definition FLA_Sv_2x2.c:83
FLA_Sort_svd_f_opz
FLA_Error FLA_Sort_svd_f_opz(int m_U, int n_V, double *s, int inc_s, dcomplex *U, int rs_U, int cs_U, dcomplex *V, int rs_V, int cs_V)
Definition FLA_Sort_svd.c:254
FLA_Mach_params
FLA_Error FLA_Mach_params(FLA_Machval machval, FLA_Obj val)
Definition FLA_Mach_params.c:13
FLA_Househ3UD_UT_check
FLA_Error FLA_Househ3UD_UT_check(FLA_Obj chi_1, FLA_Obj x2, FLA_Obj y2, FLA_Obj tau)
Definition FLA_Househ3UD_UT_check.c:13
FLA_Househ2_UT
FLA_Error FLA_Househ2_UT(FLA_Side side, FLA_Obj chi_1, FLA_Obj x2, FLA_Obj tau)
Definition FLA_Househ2_UT.c:16
FLA_Househ2s_UT_r_ops
FLA_Error FLA_Househ2s_UT_r_ops(int m_x2, float *chi_1, float *x2, int inc_x2, float *alpha, float *chi_1_minus_alpha, float *tau)
Definition FLA_Househ2s_UT.c:555
FLA_Househ3UD_UT_ops
FLA_Error FLA_Househ3UD_UT_ops(int m_x2, int m_y2, float *chi_1, float *x2, int inc_x2, float *y2, int inc_y2, float *tau)
Definition FLA_Househ3UD_UT.c:140
FLA_Sort_evd_f_opd
FLA_Error FLA_Sort_evd_f_opd(int m_A, double *l, int inc_l, double *V, int rs_V, int cs_V)
Definition FLA_Sort_evd.c:123
FLA_Sort_bsvd_ext
FLA_Error FLA_Sort_bsvd_ext(FLA_Direct direct, FLA_Obj s, FLA_Bool apply_U, FLA_Obj U, FLA_Bool apply_V, FLA_Obj V, FLA_Bool apply_C, FLA_Obj C)
Definition FLA_Sort_bsvd_ext.c:68
FLA_Househ2s_UT_r_opc
FLA_Error FLA_Househ2s_UT_r_opc(int m_x2, scomplex *chi_1, scomplex *x2, int inc_x2, scomplex *alpha, scomplex *chi_1_minus_alpha, scomplex *tau)
Definition FLA_Househ2s_UT.c:589
FLA_Sort_evd_b_opc
FLA_Error FLA_Sort_evd_b_opc(int m_A, float *l, int inc_l, scomplex *V, int rs_V, int cs_V)
Definition FLA_Sort_evd.c:202
FLA_Wilkshift_tridiag_check
FLA_Error FLA_Wilkshift_tridiag_check(FLA_Obj delta1, FLA_Obj epsilon, FLA_Obj delta2, FLA_Obj kappa)
Definition FLA_Wilkshift_tridiag_check.c:13
FLA_Sort_evd_b_opd
FLA_Error FLA_Sort_evd_b_opd(int m_A, double *l, int inc_l, double *V, int rs_V, int cs_V)
Definition FLA_Sort_evd.c:159
FLA_Wilkshift_tridiag_opd
FLA_Error FLA_Wilkshift_tridiag_opd(double delta1, double epsilon, double delta2, double *kappa)
Definition FLA_Wilkshift_tridiag.c:155
FLA_Apply_diag_matrix_check
FLA_Error FLA_Apply_diag_matrix_check(FLA_Side side, FLA_Conj conj, FLA_Obj x, FLA_Obj A)
Definition FLA_Apply_diag_matrix_check.c:13
FLA_Househ2_UT_l_opc
FLA_Error FLA_Househ2_UT_l_opc(int m_x2, scomplex *chi_1, scomplex *x2, int inc_x2, scomplex *tau)
Definition FLA_Househ2_UT.c:390
FLA_Sort_evd_f_opc
FLA_Error FLA_Sort_evd_f_opc(int m_A, float *l, int inc_l, scomplex *V, int rs_V, int cs_V)
Definition FLA_Sort_evd.c:195
rho
* rho
Definition bl1_axpyv2bdotaxpy.c:322
FLA_Obj_view
Definition FLA_type_defs.h:159
dcomplex
Definition blis_type_defs.h:138
scomplex
Definition blis_type_defs.h:133
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