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#include "rb_lapack.h"
extern VOID stgsy2_(char* trans, integer* ijob, integer* m, integer* n, real* a, integer* lda, real* b, integer* ldb, real* c, integer* ldc, real* d, integer* ldd, real* e, integer* lde, real* f, integer* ldf, real* scale, real* rdsum, real* rdscal, integer* iwork, integer* pq, integer* info);
static VALUE
rblapack_stgsy2(int argc, VALUE *argv, VALUE self){
VALUE rblapack_trans;
char trans;
VALUE rblapack_ijob;
integer ijob;
VALUE rblapack_a;
real *a;
VALUE rblapack_b;
real *b;
VALUE rblapack_c;
real *c;
VALUE rblapack_d;
real *d;
VALUE rblapack_e;
real *e;
VALUE rblapack_f;
real *f;
VALUE rblapack_rdsum;
real rdsum;
VALUE rblapack_rdscal;
real rdscal;
VALUE rblapack_scale;
real scale;
VALUE rblapack_pq;
integer pq;
VALUE rblapack_info;
integer info;
VALUE rblapack_c_out__;
real *c_out__;
VALUE rblapack_f_out__;
real *f_out__;
integer *iwork;
integer lda;
integer m;
integer ldb;
integer n;
integer ldc;
integer ldd;
integer lde;
integer ldf;
VALUE rblapack_options;
if (argc > 0 && TYPE(argv[argc-1]) == T_HASH) {
argc--;
rblapack_options = argv[argc];
if (rb_hash_aref(rblapack_options, sHelp) == Qtrue) {
printf("%s\n", "USAGE:\n scale, pq, info, c, f, rdsum, rdscal = NumRu::Lapack.stgsy2( trans, ijob, a, b, c, d, e, f, rdsum, rdscal, [:usage => usage, :help => help])\n\n\nFORTRAN MANUAL\n SUBROUTINE STGSY2( TRANS, IJOB, M, N, A, LDA, B, LDB, C, LDC, D, LDD, E, LDE, F, LDF, SCALE, RDSUM, RDSCAL, IWORK, PQ, INFO )\n\n* Purpose\n* =======\n*\n* STGSY2 solves the generalized Sylvester equation:\n*\n* A * R - L * B = scale * C (1)\n* D * R - L * E = scale * F,\n*\n* using Level 1 and 2 BLAS. where R and L are unknown M-by-N matrices,\n* (A, D), (B, E) and (C, F) are given matrix pairs of size M-by-M,\n* N-by-N and M-by-N, respectively, with real entries. (A, D) and (B, E)\n* must be in generalized Schur canonical form, i.e. A, B are upper\n* quasi triangular and D, E are upper triangular. The solution (R, L)\n* overwrites (C, F). 0 <= SCALE <= 1 is an output scaling factor\n* chosen to avoid overflow.\n*\n* In matrix notation solving equation (1) corresponds to solve\n* Z*x = scale*b, where Z is defined as\n*\n* Z = [ kron(In, A) -kron(B', Im) ] (2)\n* [ kron(In, D) -kron(E', Im) ],\n*\n* Ik is the identity matrix of size k and X' is the transpose of X.\n* kron(X, Y) is the Kronecker product between the matrices X and Y.\n* In the process of solving (1), we solve a number of such systems\n* where Dim(In), Dim(In) = 1 or 2.\n*\n* If TRANS = 'T', solve the transposed system Z'*y = scale*b for y,\n* which is equivalent to solve for R and L in\n*\n* A' * R + D' * L = scale * C (3)\n* R * B' + L * E' = scale * -F\n*\n* This case is used to compute an estimate of Dif[(A, D), (B, E)] =\n* sigma_min(Z) using reverse communicaton with SLACON.\n*\n* STGSY2 also (IJOB >= 1) contributes to the computation in STGSYL\n* of an upper bound on the separation between to matrix pairs. Then\n* the input (A, D), (B, E) are sub-pencils of the matrix pair in\n* STGSYL. See STGSYL for details.\n*\n\n* Arguments\n* =========\n*\n* TRANS (input) CHARACTER*1\n* = 'N', solve the generalized Sylvester equation (1).\n* = 'T': solve the 'transposed' system (3).\n*\n* IJOB (input) INTEGER\n* Specifies what kind of functionality to be performed.\n* = 0: solve (1) only.\n* = 1: A contribution from this subsystem to a Frobenius\n* norm-based estimate of the separation between two matrix\n* pairs is computed. (look ahead strategy is used).\n* = 2: A contribution from this subsystem to a Frobenius\n* norm-based estimate of the separation between two matrix\n* pairs is computed. (SGECON on sub-systems is used.)\n* Not referenced if TRANS = 'T'.\n*\n* M (input) INTEGER\n* On entry, M specifies the order of A and D, and the row\n* dimension of C, F, R and L.\n*\n* N (input) INTEGER\n* On entry, N specifies the order of B and E, and the column\n* dimension of C, F, R and L.\n*\n* A (input) REAL array, dimension (LDA, M)\n* On entry, A contains an upper quasi triangular matrix.\n*\n* LDA (input) INTEGER\n* The leading dimension of the matrix A. LDA >= max(1, M).\n*\n* B (input) REAL array, dimension (LDB, N)\n* On entry, B contains an upper quasi triangular matrix.\n*\n* LDB (input) INTEGER\n* The leading dimension of the matrix B. LDB >= max(1, N).\n*\n* C (input/output) REAL array, dimension (LDC, N)\n* On entry, C contains the right-hand-side of the first matrix\n* equation in (1).\n* On exit, if IJOB = 0, C has been overwritten by the\n* solution R.\n*\n* LDC (input) INTEGER\n* The leading dimension of the matrix C. LDC >= max(1, M).\n*\n* D (input) REAL array, dimension (LDD, M)\n* On entry, D contains an upper triangular matrix.\n*\n* LDD (input) INTEGER\n* The leading dimension of the matrix D. LDD >= max(1, M).\n*\n* E (input) REAL array, dimension (LDE, N)\n* On entry, E contains an upper triangular matrix.\n*\n* LDE (input) INTEGER\n* The leading dimension of the matrix E. LDE >= max(1, N).\n*\n* F (input/output) REAL array, dimension (LDF, N)\n* On entry, F contains the right-hand-side of the second matrix\n* equation in (1).\n* On exit, if IJOB = 0, F has been overwritten by the\n* solution L.\n*\n* LDF (input) INTEGER\n* The leading dimension of the matrix F. LDF >= max(1, M).\n*\n* SCALE (output) REAL\n* On exit, 0 <= SCALE <= 1. If 0 < SCALE < 1, the solutions\n* R and L (C and F on entry) will hold the solutions to a\n* slightly perturbed system but the input matrices A, B, D and\n* E have not been changed. If SCALE = 0, R and L will hold the\n* solutions to the homogeneous system with C = F = 0. Normally,\n* SCALE = 1.\n*\n* RDSUM (input/output) REAL\n* On entry, the sum of squares of computed contributions to\n* the Dif-estimate under computation by STGSYL, where the\n* scaling factor RDSCAL (see below) has been factored out.\n* On exit, the corresponding sum of squares updated with the\n* contributions from the current sub-system.\n* If TRANS = 'T' RDSUM is not touched.\n* NOTE: RDSUM only makes sense when STGSY2 is called by STGSYL.\n*\n* RDSCAL (input/output) REAL\n* On entry, scaling factor used to prevent overflow in RDSUM.\n* On exit, RDSCAL is updated w.r.t. the current contributions\n* in RDSUM.\n* If TRANS = 'T', RDSCAL is not touched.\n* NOTE: RDSCAL only makes sense when STGSY2 is called by\n* STGSYL.\n*\n* IWORK (workspace) INTEGER array, dimension (M+N+2)\n*\n* PQ (output) INTEGER\n* On exit, the number of subsystems (of size 2-by-2, 4-by-4 and\n* 8-by-8) solved by this routine.\n*\n* INFO (output) INTEGER\n* On exit, if INFO is set to\n* =0: Successful exit\n* <0: If INFO = -i, the i-th argument had an illegal value.\n* >0: The matrix pairs (A, D) and (B, E) have common or very\n* close eigenvalues.\n*\n\n* Further Details\n* ===============\n*\n* Based on contributions by\n* Bo Kagstrom and Peter Poromaa, Department of Computing Science,\n* Umea University, S-901 87 Umea, Sweden.\n*\n* =====================================================================\n* Replaced various illegal calls to SCOPY by calls to SLASET.\n* Sven Hammarling, 27/5/02.\n*\n\n");
return Qnil;
}
if (rb_hash_aref(rblapack_options, sUsage) == Qtrue) {
printf("%s\n", "USAGE:\n scale, pq, info, c, f, rdsum, rdscal = NumRu::Lapack.stgsy2( trans, ijob, a, b, c, d, e, f, rdsum, rdscal, [:usage => usage, :help => help])\n");
return Qnil;
}
} else
rblapack_options = Qnil;
if (argc != 10 && argc != 10)
rb_raise(rb_eArgError,"wrong number of arguments (%d for 10)", argc);
rblapack_trans = argv[0];
rblapack_ijob = argv[1];
rblapack_a = argv[2];
rblapack_b = argv[3];
rblapack_c = argv[4];
rblapack_d = argv[5];
rblapack_e = argv[6];
rblapack_f = argv[7];
rblapack_rdsum = argv[8];
rblapack_rdscal = argv[9];
if (argc == 10) {
} else if (rblapack_options != Qnil) {
} else {
}
trans = StringValueCStr(rblapack_trans)[0];
if (!NA_IsNArray(rblapack_a))
rb_raise(rb_eArgError, "a (3th argument) must be NArray");
if (NA_RANK(rblapack_a) != 2)
rb_raise(rb_eArgError, "rank of a (3th argument) must be %d", 2);
lda = NA_SHAPE0(rblapack_a);
m = NA_SHAPE1(rblapack_a);
if (NA_TYPE(rblapack_a) != NA_SFLOAT)
rblapack_a = na_change_type(rblapack_a, NA_SFLOAT);
a = NA_PTR_TYPE(rblapack_a, real*);
if (!NA_IsNArray(rblapack_c))
rb_raise(rb_eArgError, "c (5th argument) must be NArray");
if (NA_RANK(rblapack_c) != 2)
rb_raise(rb_eArgError, "rank of c (5th argument) must be %d", 2);
ldc = NA_SHAPE0(rblapack_c);
n = NA_SHAPE1(rblapack_c);
if (NA_TYPE(rblapack_c) != NA_SFLOAT)
rblapack_c = na_change_type(rblapack_c, NA_SFLOAT);
c = NA_PTR_TYPE(rblapack_c, real*);
if (!NA_IsNArray(rblapack_e))
rb_raise(rb_eArgError, "e (7th argument) must be NArray");
if (NA_RANK(rblapack_e) != 2)
rb_raise(rb_eArgError, "rank of e (7th argument) must be %d", 2);
lde = NA_SHAPE0(rblapack_e);
if (NA_SHAPE1(rblapack_e) != n)
rb_raise(rb_eRuntimeError, "shape 1 of e must be the same as shape 1 of c");
if (NA_TYPE(rblapack_e) != NA_SFLOAT)
rblapack_e = na_change_type(rblapack_e, NA_SFLOAT);
e = NA_PTR_TYPE(rblapack_e, real*);
rdsum = (real)NUM2DBL(rblapack_rdsum);
ijob = NUM2INT(rblapack_ijob);
if (!NA_IsNArray(rblapack_d))
rb_raise(rb_eArgError, "d (6th argument) must be NArray");
if (NA_RANK(rblapack_d) != 2)
rb_raise(rb_eArgError, "rank of d (6th argument) must be %d", 2);
ldd = NA_SHAPE0(rblapack_d);
if (NA_SHAPE1(rblapack_d) != m)
rb_raise(rb_eRuntimeError, "shape 1 of d must be the same as shape 1 of a");
if (NA_TYPE(rblapack_d) != NA_SFLOAT)
rblapack_d = na_change_type(rblapack_d, NA_SFLOAT);
d = NA_PTR_TYPE(rblapack_d, real*);
rdscal = (real)NUM2DBL(rblapack_rdscal);
if (!NA_IsNArray(rblapack_b))
rb_raise(rb_eArgError, "b (4th argument) must be NArray");
if (NA_RANK(rblapack_b) != 2)
rb_raise(rb_eArgError, "rank of b (4th argument) must be %d", 2);
ldb = NA_SHAPE0(rblapack_b);
if (NA_SHAPE1(rblapack_b) != n)
rb_raise(rb_eRuntimeError, "shape 1 of b must be the same as shape 1 of c");
if (NA_TYPE(rblapack_b) != NA_SFLOAT)
rblapack_b = na_change_type(rblapack_b, NA_SFLOAT);
b = NA_PTR_TYPE(rblapack_b, real*);
if (!NA_IsNArray(rblapack_f))
rb_raise(rb_eArgError, "f (8th argument) must be NArray");
if (NA_RANK(rblapack_f) != 2)
rb_raise(rb_eArgError, "rank of f (8th argument) must be %d", 2);
ldf = NA_SHAPE0(rblapack_f);
if (NA_SHAPE1(rblapack_f) != n)
rb_raise(rb_eRuntimeError, "shape 1 of f must be the same as shape 1 of c");
if (NA_TYPE(rblapack_f) != NA_SFLOAT)
rblapack_f = na_change_type(rblapack_f, NA_SFLOAT);
f = NA_PTR_TYPE(rblapack_f, real*);
{
na_shape_t shape[2];
shape[0] = ldc;
shape[1] = n;
rblapack_c_out__ = na_make_object(NA_SFLOAT, 2, shape, cNArray);
}
c_out__ = NA_PTR_TYPE(rblapack_c_out__, real*);
MEMCPY(c_out__, c, real, NA_TOTAL(rblapack_c));
rblapack_c = rblapack_c_out__;
c = c_out__;
{
na_shape_t shape[2];
shape[0] = ldf;
shape[1] = n;
rblapack_f_out__ = na_make_object(NA_SFLOAT, 2, shape, cNArray);
}
f_out__ = NA_PTR_TYPE(rblapack_f_out__, real*);
MEMCPY(f_out__, f, real, NA_TOTAL(rblapack_f));
rblapack_f = rblapack_f_out__;
f = f_out__;
iwork = ALLOC_N(integer, (m+n+2));
stgsy2_(&trans, &ijob, &m, &n, a, &lda, b, &ldb, c, &ldc, d, &ldd, e, &lde, f, &ldf, &scale, &rdsum, &rdscal, iwork, &pq, &info);
free(iwork);
rblapack_scale = rb_float_new((double)scale);
rblapack_pq = INT2NUM(pq);
rblapack_info = INT2NUM(info);
rblapack_rdsum = rb_float_new((double)rdsum);
rblapack_rdscal = rb_float_new((double)rdscal);
return rb_ary_new3(7, rblapack_scale, rblapack_pq, rblapack_info, rblapack_c, rblapack_f, rblapack_rdsum, rblapack_rdscal);
}
void
init_lapack_stgsy2(VALUE mLapack, VALUE sH, VALUE sU, VALUE zero){
sHelp = sH;
sUsage = sU;
rblapack_ZERO = zero;
rb_define_module_function(mLapack, "stgsy2", rblapack_stgsy2, -1);
}
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