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#include "rb_lapack.h"
extern VOID stgex2_(logical* wantq, logical* wantz, integer* n, real* a, integer* lda, real* b, integer* ldb, real* q, integer* ldq, real* z, integer* ldz, integer* j1, integer* n1, integer* n2, real* work, integer* lwork, integer* info);
static VALUE
rblapack_stgex2(int argc, VALUE *argv, VALUE self){
VALUE rblapack_wantq;
logical wantq;
VALUE rblapack_wantz;
logical wantz;
VALUE rblapack_a;
real *a;
VALUE rblapack_b;
real *b;
VALUE rblapack_q;
real *q;
VALUE rblapack_ldq;
integer ldq;
VALUE rblapack_z;
real *z;
VALUE rblapack_j1;
integer j1;
VALUE rblapack_n1;
integer n1;
VALUE rblapack_n2;
integer n2;
VALUE rblapack_lwork;
integer lwork;
VALUE rblapack_info;
integer info;
VALUE rblapack_a_out__;
real *a_out__;
VALUE rblapack_b_out__;
real *b_out__;
VALUE rblapack_q_out__;
real *q_out__;
VALUE rblapack_z_out__;
real *z_out__;
real *work;
integer lda;
integer n;
integer ldb;
integer ldz;
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 info, a, b, q, z = NumRu::Lapack.stgex2( wantq, wantz, a, b, q, ldq, z, j1, n1, n2, [:lwork => lwork, :usage => usage, :help => help])\n\n\nFORTRAN MANUAL\n SUBROUTINE STGEX2( WANTQ, WANTZ, N, A, LDA, B, LDB, Q, LDQ, Z, LDZ, J1, N1, N2, WORK, LWORK, INFO )\n\n* Purpose\n* =======\n*\n* STGEX2 swaps adjacent diagonal blocks (A11, B11) and (A22, B22)\n* of size 1-by-1 or 2-by-2 in an upper (quasi) triangular matrix pair\n* (A, B) by an orthogonal equivalence transformation.\n*\n* (A, B) must be in generalized real Schur canonical form (as returned\n* by SGGES), i.e. A is block upper triangular with 1-by-1 and 2-by-2\n* diagonal blocks. B is upper triangular.\n*\n* Optionally, the matrices Q and Z of generalized Schur vectors are\n* updated.\n*\n* Q(in) * A(in) * Z(in)' = Q(out) * A(out) * Z(out)'\n* Q(in) * B(in) * Z(in)' = Q(out) * B(out) * Z(out)'\n*\n*\n\n* Arguments\n* =========\n*\n* WANTQ (input) LOGICAL\n* .TRUE. : update the left transformation matrix Q;\n* .FALSE.: do not update Q.\n*\n* WANTZ (input) LOGICAL\n* .TRUE. : update the right transformation matrix Z;\n* .FALSE.: do not update Z.\n*\n* N (input) INTEGER\n* The order of the matrices A and B. N >= 0.\n*\n* A (input/output) REAL arrays, dimensions (LDA,N)\n* On entry, the matrix A in the pair (A, B).\n* On exit, the updated matrix A.\n*\n* LDA (input) INTEGER\n* The leading dimension of the array A. LDA >= max(1,N).\n*\n* B (input/output) REAL arrays, dimensions (LDB,N)\n* On entry, the matrix B in the pair (A, B).\n* On exit, the updated matrix B.\n*\n* LDB (input) INTEGER\n* The leading dimension of the array B. LDB >= max(1,N).\n*\n* Q (input/output) REAL array, dimension (LDZ,N)\n* On entry, if WANTQ = .TRUE., the orthogonal matrix Q.\n* On exit, the updated matrix Q.\n* Not referenced if WANTQ = .FALSE..\n*\n* LDQ (input) INTEGER\n* The leading dimension of the array Q. LDQ >= 1.\n* If WANTQ = .TRUE., LDQ >= N.\n*\n* Z (input/output) REAL array, dimension (LDZ,N)\n* On entry, if WANTZ =.TRUE., the orthogonal matrix Z.\n* On exit, the updated matrix Z.\n* Not referenced if WANTZ = .FALSE..\n*\n* LDZ (input) INTEGER\n* The leading dimension of the array Z. LDZ >= 1.\n* If WANTZ = .TRUE., LDZ >= N.\n*\n* J1 (input) INTEGER\n* The index to the first block (A11, B11). 1 <= J1 <= N.\n*\n* N1 (input) INTEGER\n* The order of the first block (A11, B11). N1 = 0, 1 or 2.\n*\n* N2 (input) INTEGER\n* The order of the second block (A22, B22). N2 = 0, 1 or 2.\n*\n* WORK (workspace) REAL array, dimension (MAX(1,LWORK)).\n*\n* LWORK (input) INTEGER\n* The dimension of the array WORK.\n* LWORK >= MAX( N*(N2+N1), (N2+N1)*(N2+N1)*2 )\n*\n* INFO (output) INTEGER\n* =0: Successful exit\n* >0: If INFO = 1, the transformed matrix (A, B) would be\n* too far from generalized Schur form; the blocks are\n* not swapped and (A, B) and (Q, Z) are unchanged.\n* The problem of swapping is too ill-conditioned.\n* <0: If INFO = -16: LWORK is too small. Appropriate value\n* for LWORK is returned in WORK(1).\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* In the current code both weak and strong stability tests are\n* performed. The user can omit the strong stability test by changing\n* the internal logical parameter WANDS to .FALSE.. See ref. [2] for\n* details.\n*\n* [1] B. Kagstrom; A Direct Method for Reordering Eigenvalues in the\n* Generalized Real Schur Form of a Regular Matrix Pair (A, B), in\n* M.S. Moonen et al (eds), Linear Algebra for Large Scale and\n* Real-Time Applications, Kluwer Academic Publ. 1993, pp 195-218.\n*\n* [2] B. Kagstrom and P. Poromaa; Computing Eigenspaces with Specified\n* Eigenvalues of a Regular Matrix Pair (A, B) and Condition\n* Estimation: Theory, Algorithms and Software,\n* Report UMINF - 94.04, Department of Computing Science, Umea\n* University, S-901 87 Umea, Sweden, 1994. Also as LAPACK Working\n* Note 87. To appear in Numerical Algorithms, 1996.\n*\n* =====================================================================\n* Replaced various illegal calls to SCOPY by calls to SLASET, or by DO\n* loops. Sven Hammarling, 1/5/02.\n*\n\n");
return Qnil;
}
if (rb_hash_aref(rblapack_options, sUsage) == Qtrue) {
printf("%s\n", "USAGE:\n info, a, b, q, z = NumRu::Lapack.stgex2( wantq, wantz, a, b, q, ldq, z, j1, n1, n2, [:lwork => lwork, :usage => usage, :help => help])\n");
return Qnil;
}
} else
rblapack_options = Qnil;
if (argc != 10 && argc != 11)
rb_raise(rb_eArgError,"wrong number of arguments (%d for 10)", argc);
rblapack_wantq = argv[0];
rblapack_wantz = argv[1];
rblapack_a = argv[2];
rblapack_b = argv[3];
rblapack_q = argv[4];
rblapack_ldq = argv[5];
rblapack_z = argv[6];
rblapack_j1 = argv[7];
rblapack_n1 = argv[8];
rblapack_n2 = argv[9];
if (argc == 11) {
rblapack_lwork = argv[10];
} else if (rblapack_options != Qnil) {
rblapack_lwork = rb_hash_aref(rblapack_options, ID2SYM(rb_intern("lwork")));
} else {
rblapack_lwork = Qnil;
}
wantq = (rblapack_wantq == Qtrue);
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);
n = 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_q))
rb_raise(rb_eArgError, "q (5th argument) must be NArray");
if (NA_RANK(rblapack_q) != 2)
rb_raise(rb_eArgError, "rank of q (5th argument) must be %d", 2);
ldz = NA_SHAPE0(rblapack_q);
if (NA_SHAPE1(rblapack_q) != n)
rb_raise(rb_eRuntimeError, "shape 1 of q must be the same as shape 1 of a");
if (NA_TYPE(rblapack_q) != NA_SFLOAT)
rblapack_q = na_change_type(rblapack_q, NA_SFLOAT);
q = NA_PTR_TYPE(rblapack_q, real*);
if (!NA_IsNArray(rblapack_z))
rb_raise(rb_eArgError, "z (7th argument) must be NArray");
if (NA_RANK(rblapack_z) != 2)
rb_raise(rb_eArgError, "rank of z (7th argument) must be %d", 2);
if (NA_SHAPE0(rblapack_z) != ldz)
rb_raise(rb_eRuntimeError, "shape 0 of z must be the same as shape 0 of q");
if (NA_SHAPE1(rblapack_z) != n)
rb_raise(rb_eRuntimeError, "shape 1 of z must be the same as shape 1 of a");
if (NA_TYPE(rblapack_z) != NA_SFLOAT)
rblapack_z = na_change_type(rblapack_z, NA_SFLOAT);
z = NA_PTR_TYPE(rblapack_z, real*);
n1 = NUM2INT(rblapack_n1);
wantz = (rblapack_wantz == Qtrue);
ldq = NUM2INT(rblapack_ldq);
n2 = NUM2INT(rblapack_n2);
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 a");
if (NA_TYPE(rblapack_b) != NA_SFLOAT)
rblapack_b = na_change_type(rblapack_b, NA_SFLOAT);
b = NA_PTR_TYPE(rblapack_b, real*);
lwork = MAX(1,(MAX(n*(n2+n1),(n2+n1)*(n2+n1)*2)));
j1 = NUM2INT(rblapack_j1);
{
na_shape_t shape[2];
shape[0] = lda;
shape[1] = n;
rblapack_a_out__ = na_make_object(NA_SFLOAT, 2, shape, cNArray);
}
a_out__ = NA_PTR_TYPE(rblapack_a_out__, real*);
MEMCPY(a_out__, a, real, NA_TOTAL(rblapack_a));
rblapack_a = rblapack_a_out__;
a = a_out__;
{
na_shape_t shape[2];
shape[0] = ldb;
shape[1] = n;
rblapack_b_out__ = na_make_object(NA_SFLOAT, 2, shape, cNArray);
}
b_out__ = NA_PTR_TYPE(rblapack_b_out__, real*);
MEMCPY(b_out__, b, real, NA_TOTAL(rblapack_b));
rblapack_b = rblapack_b_out__;
b = b_out__;
{
na_shape_t shape[2];
shape[0] = ldz;
shape[1] = n;
rblapack_q_out__ = na_make_object(NA_SFLOAT, 2, shape, cNArray);
}
q_out__ = NA_PTR_TYPE(rblapack_q_out__, real*);
MEMCPY(q_out__, q, real, NA_TOTAL(rblapack_q));
rblapack_q = rblapack_q_out__;
q = q_out__;
{
na_shape_t shape[2];
shape[0] = ldz;
shape[1] = n;
rblapack_z_out__ = na_make_object(NA_SFLOAT, 2, shape, cNArray);
}
z_out__ = NA_PTR_TYPE(rblapack_z_out__, real*);
MEMCPY(z_out__, z, real, NA_TOTAL(rblapack_z));
rblapack_z = rblapack_z_out__;
z = z_out__;
work = ALLOC_N(real, (lwork));
stgex2_(&wantq, &wantz, &n, a, &lda, b, &ldb, q, &ldq, z, &ldz, &j1, &n1, &n2, work, &lwork, &info);
free(work);
rblapack_info = INT2NUM(info);
return rb_ary_new3(5, rblapack_info, rblapack_a, rblapack_b, rblapack_q, rblapack_z);
}
void
init_lapack_stgex2(VALUE mLapack, VALUE sH, VALUE sU, VALUE zero){
sHelp = sH;
sUsage = sU;
rblapack_ZERO = zero;
rb_define_module_function(mLapack, "stgex2", rblapack_stgex2, -1);
}
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