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#include "rb_lapack.h"
extern VOID stgsen_(integer* ijob, logical* wantq, logical* wantz, logical* select, integer* n, real* a, integer* lda, real* b, integer* ldb, real* alphar, real* alphai, real* beta, real* q, integer* ldq, real* z, integer* ldz, integer* m, real* pl, real* pr, real* dif, real* work, integer* lwork, integer* iwork, integer* liwork, integer* info);
static VALUE
rblapack_stgsen(int argc, VALUE *argv, VALUE self){
VALUE rblapack_ijob;
integer ijob;
VALUE rblapack_wantq;
logical wantq;
VALUE rblapack_wantz;
logical wantz;
VALUE rblapack_select;
logical *select;
VALUE rblapack_a;
real *a;
VALUE rblapack_b;
real *b;
VALUE rblapack_q;
real *q;
VALUE rblapack_z;
real *z;
VALUE rblapack_lwork;
integer lwork;
VALUE rblapack_liwork;
integer liwork;
VALUE rblapack_alphar;
real *alphar;
VALUE rblapack_alphai;
real *alphai;
VALUE rblapack_beta;
real *beta;
VALUE rblapack_m;
integer m;
VALUE rblapack_pl;
real pl;
VALUE rblapack_pr;
real pr;
VALUE rblapack_dif;
real *dif;
VALUE rblapack_work;
real *work;
VALUE rblapack_iwork;
integer *iwork;
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__;
integer n;
integer lda;
integer ldb;
integer ldq;
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 alphar, alphai, beta, m, pl, pr, dif, work, iwork, info, a, b, q, z = NumRu::Lapack.stgsen( ijob, wantq, wantz, select, a, b, q, z, [:lwork => lwork, :liwork => liwork, :usage => usage, :help => help])\n\n\nFORTRAN MANUAL\n SUBROUTINE STGSEN( IJOB, WANTQ, WANTZ, SELECT, N, A, LDA, B, LDB, ALPHAR, ALPHAI, BETA, Q, LDQ, Z, LDZ, M, PL, PR, DIF, WORK, LWORK, IWORK, LIWORK, INFO )\n\n* Purpose\n* =======\n*\n* STGSEN reorders the generalized real Schur decomposition of a real\n* matrix pair (A, B) (in terms of an orthonormal equivalence trans-\n* formation Q' * (A, B) * Z), so that a selected cluster of eigenvalues\n* appears in the leading diagonal blocks of the upper quasi-triangular\n* matrix A and the upper triangular B. The leading columns of Q and\n* Z form orthonormal bases of the corresponding left and right eigen-\n* spaces (deflating subspaces). (A, B) must be in generalized real\n* Schur canonical form (as returned by SGGES), i.e. A is block upper\n* triangular with 1-by-1 and 2-by-2 diagonal blocks. B is upper\n* triangular.\n*\n* STGSEN also computes the generalized eigenvalues\n*\n* w(j) = (ALPHAR(j) + i*ALPHAI(j))/BETA(j)\n*\n* of the reordered matrix pair (A, B).\n*\n* Optionally, STGSEN computes the estimates of reciprocal condition\n* numbers for eigenvalues and eigenspaces. These are Difu[(A11,B11),\n* (A22,B22)] and Difl[(A11,B11), (A22,B22)], i.e. the separation(s)\n* between the matrix pairs (A11, B11) and (A22,B22) that correspond to\n* the selected cluster and the eigenvalues outside the cluster, resp.,\n* and norms of \"projections\" onto left and right eigenspaces w.r.t.\n* the selected cluster in the (1,1)-block.\n*\n\n* Arguments\n* =========\n*\n* IJOB (input) INTEGER\n* Specifies whether condition numbers are required for the\n* cluster of eigenvalues (PL and PR) or the deflating subspaces\n* (Difu and Difl):\n* =0: Only reorder w.r.t. SELECT. No extras.\n* =1: Reciprocal of norms of \"projections\" onto left and right\n* eigenspaces w.r.t. the selected cluster (PL and PR).\n* =2: Upper bounds on Difu and Difl. F-norm-based estimate\n* (DIF(1:2)).\n* =3: Estimate of Difu and Difl. 1-norm-based estimate\n* (DIF(1:2)).\n* About 5 times as expensive as IJOB = 2.\n* =4: Compute PL, PR and DIF (i.e. 0, 1 and 2 above): Economic\n* version to get it all.\n* =5: Compute PL, PR and DIF (i.e. 0, 1 and 3 above)\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* SELECT (input) LOGICAL array, dimension (N)\n* SELECT specifies the eigenvalues in the selected cluster.\n* To select a real eigenvalue w(j), SELECT(j) must be set to\n* .TRUE.. To select a complex conjugate pair of eigenvalues\n* w(j) and w(j+1), corresponding to a 2-by-2 diagonal block,\n* either SELECT(j) or SELECT(j+1) or both must be set to\n* .TRUE.; a complex conjugate pair of eigenvalues must be\n* either both included in the cluster or both excluded.\n*\n* N (input) INTEGER\n* The order of the matrices A and B. N >= 0.\n*\n* A (input/output) REAL array, dimension(LDA,N)\n* On entry, the upper quasi-triangular matrix A, with (A, B) in\n* generalized real Schur canonical form.\n* On exit, A is overwritten by the reordered 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 array, dimension(LDB,N)\n* On entry, the upper triangular matrix B, with (A, B) in\n* generalized real Schur canonical form.\n* On exit, B is overwritten by the reordered matrix B.\n*\n* LDB (input) INTEGER\n* The leading dimension of the array B. LDB >= max(1,N).\n*\n* ALPHAR (output) REAL array, dimension (N)\n* ALPHAI (output) REAL array, dimension (N)\n* BETA (output) REAL array, dimension (N)\n* On exit, (ALPHAR(j) + ALPHAI(j)*i)/BETA(j), j=1,...,N, will\n* be the generalized eigenvalues. ALPHAR(j) + ALPHAI(j)*i\n* and BETA(j),j=1,...,N are the diagonals of the complex Schur\n* form (S,T) that would result if the 2-by-2 diagonal blocks of\n* the real generalized Schur form of (A,B) were further reduced\n* to triangular form using complex unitary transformations.\n* If ALPHAI(j) is zero, then the j-th eigenvalue is real; if\n* positive, then the j-th and (j+1)-st eigenvalues are a\n* complex conjugate pair, with ALPHAI(j+1) negative.\n*\n* Q (input/output) REAL array, dimension (LDQ,N)\n* On entry, if WANTQ = .TRUE., Q is an N-by-N matrix.\n* On exit, Q has been postmultiplied by the left orthogonal\n* transformation matrix which reorder (A, B); The leading M\n* columns of Q form orthonormal bases for the specified pair of\n* left eigenspaces (deflating subspaces).\n* If WANTQ = .FALSE., Q is not referenced.\n*\n* LDQ (input) INTEGER\n* The leading dimension of the array Q. LDQ >= 1;\n* and if WANTQ = .TRUE., LDQ >= N.\n*\n* Z (input/output) REAL array, dimension (LDZ,N)\n* On entry, if WANTZ = .TRUE., Z is an N-by-N matrix.\n* On exit, Z has been postmultiplied by the left orthogonal\n* transformation matrix which reorder (A, B); The leading M\n* columns of Z form orthonormal bases for the specified pair of\n* left eigenspaces (deflating subspaces).\n* If WANTZ = .FALSE., Z is not referenced.\n*\n* LDZ (input) INTEGER\n* The leading dimension of the array Z. LDZ >= 1;\n* If WANTZ = .TRUE., LDZ >= N.\n*\n* M (output) INTEGER\n* The dimension of the specified pair of left and right eigen-\n* spaces (deflating subspaces). 0 <= M <= N.\n*\n* PL (output) REAL\n* PR (output) REAL\n* If IJOB = 1, 4 or 5, PL, PR are lower bounds on the\n* reciprocal of the norm of \"projections\" onto left and right\n* eigenspaces with respect to the selected cluster.\n* 0 < PL, PR <= 1.\n* If M = 0 or M = N, PL = PR = 1.\n* If IJOB = 0, 2 or 3, PL and PR are not referenced.\n*\n* DIF (output) REAL array, dimension (2).\n* If IJOB >= 2, DIF(1:2) store the estimates of Difu and Difl.\n* If IJOB = 2 or 4, DIF(1:2) are F-norm-based upper bounds on\n* Difu and Difl. If IJOB = 3 or 5, DIF(1:2) are 1-norm-based\n* estimates of Difu and Difl.\n* If M = 0 or N, DIF(1:2) = F-norm([A, B]).\n* If IJOB = 0 or 1, DIF is not referenced.\n*\n* WORK (workspace/output) REAL array, dimension (MAX(1,LWORK))\n* On exit, if INFO = 0, WORK(1) returns the optimal LWORK.\n*\n* LWORK (input) INTEGER\n* The dimension of the array WORK. LWORK >= 4*N+16.\n* If IJOB = 1, 2 or 4, LWORK >= MAX(4*N+16, 2*M*(N-M)).\n* If IJOB = 3 or 5, LWORK >= MAX(4*N+16, 4*M*(N-M)).\n*\n* If LWORK = -1, then a workspace query is assumed; the routine\n* only calculates the optimal size of the WORK array, returns\n* this value as the first entry of the WORK array, and no error\n* message related to LWORK is issued by XERBLA.\n*\n* IWORK (workspace/output) INTEGER array, dimension (MAX(1,LIWORK))\n* On exit, if INFO = 0, IWORK(1) returns the optimal LIWORK.\n*\n* LIWORK (input) INTEGER\n* The dimension of the array IWORK. LIWORK >= 1.\n* If IJOB = 1, 2 or 4, LIWORK >= N+6.\n* If IJOB = 3 or 5, LIWORK >= MAX(2*M*(N-M), N+6).\n*\n* If LIWORK = -1, then a workspace query is assumed; the\n* routine only calculates the optimal size of the IWORK array,\n* returns this value as the first entry of the IWORK array, and\n* no error message related to LIWORK is issued by XERBLA.\n*\n* INFO (output) INTEGER\n* =0: Successful exit.\n* <0: If INFO = -i, the i-th argument had an illegal value.\n* =1: Reordering of (A, B) failed because the transformed\n* matrix pair (A, B) would be too far from generalized\n* Schur form; the problem is very ill-conditioned.\n* (A, B) may have been partially reordered.\n* If requested, 0 is returned in DIF(*), PL and PR.\n*\n\n* Further Details\n* ===============\n*\n* STGSEN first collects the selected eigenvalues by computing\n* orthogonal U and W that move them to the top left corner of (A, B).\n* In other words, the selected eigenvalues are the eigenvalues of\n* (A11, B11) in:\n*\n* U'*(A, B)*W = (A11 A12) (B11 B12) n1\n* ( 0 A22),( 0 B22) n2\n* n1 n2 n1 n2\n*\n* where N = n1+n2 and U' means the transpose of U. The first n1 columns\n* of U and W span the specified pair of left and right eigenspaces\n* (deflating subspaces) of (A, B).\n*\n* If (A, B) has been obtained from the generalized real Schur\n* decomposition of a matrix pair (C, D) = Q*(A, B)*Z', then the\n* reordered generalized real Schur form of (C, D) is given by\n*\n* (C, D) = (Q*U)*(U'*(A, B)*W)*(Z*W)',\n*\n* and the first n1 columns of Q*U and Z*W span the corresponding\n* deflating subspaces of (C, D) (Q and Z store Q*U and Z*W, resp.).\n*\n* Note that if the selected eigenvalue is sufficiently ill-conditioned,\n* then its value may differ significantly from its value before\n* reordering.\n*\n* The reciprocal condition numbers of the left and right eigenspaces\n* spanned by the first n1 columns of U and W (or Q*U and Z*W) may\n* be returned in DIF(1:2), corresponding to Difu and Difl, resp.\n*\n* The Difu and Difl are defined as:\n*\n* Difu[(A11, B11), (A22, B22)] = sigma-min( Zu )\n* and\n* Difl[(A11, B11), (A22, B22)] = Difu[(A22, B22), (A11, B11)],\n*\n* where sigma-min(Zu) is the smallest singular value of the\n* (2*n1*n2)-by-(2*n1*n2) matrix\n*\n* Zu = [ kron(In2, A11) -kron(A22', In1) ]\n* [ kron(In2, B11) -kron(B22', In1) ].\n*\n* Here, Inx is the identity matrix of size nx and A22' is the\n* transpose of A22. kron(X, Y) is the Kronecker product between\n* the matrices X and Y.\n*\n* When DIF(2) is small, small changes in (A, B) can cause large changes\n* in the deflating subspace. An approximate (asymptotic) bound on the\n* maximum angular error in the computed deflating subspaces is\n*\n* EPS * norm((A, B)) / DIF(2),\n*\n* where EPS is the machine precision.\n*\n* The reciprocal norm of the projectors on the left and right\n* eigenspaces associated with (A11, B11) may be returned in PL and PR.\n* They are computed as follows. First we compute L and R so that\n* P*(A, B)*Q is block diagonal, where\n*\n* P = ( I -L ) n1 Q = ( I R ) n1\n* ( 0 I ) n2 and ( 0 I ) n2\n* n1 n2 n1 n2\n*\n* and (L, R) is the solution to the generalized Sylvester equation\n*\n* A11*R - L*A22 = -A12\n* B11*R - L*B22 = -B12\n*\n* Then PL = (F-norm(L)**2+1)**(-1/2) and PR = (F-norm(R)**2+1)**(-1/2).\n* An approximate (asymptotic) bound on the average absolute error of\n* the selected eigenvalues is\n*\n* EPS * norm((A, B)) / PL.\n*\n* There are also global error bounds which valid for perturbations up\n* to a certain restriction: A lower bound (x) on the smallest\n* F-norm(E,F) for which an eigenvalue of (A11, B11) may move and\n* coalesce with an eigenvalue of (A22, B22) under perturbation (E,F),\n* (i.e. (A + E, B + F), is\n*\n* x = min(Difu,Difl)/((1/(PL*PL)+1/(PR*PR))**(1/2)+2*max(1/PL,1/PR)).\n*\n* An approximate bound on x can be computed from DIF(1:2), PL and PR.\n*\n* If y = ( F-norm(E,F) / x) <= 1, the angles between the perturbed\n* (L', R') and unperturbed (L, R) left and right deflating subspaces\n* associated with the selected cluster in the (1,1)-blocks can be\n* bounded as\n*\n* max-angle(L, L') <= arctan( y * PL / (1 - y * (1 - PL * PL)**(1/2))\n* max-angle(R, R') <= arctan( y * PR / (1 - y * (1 - PR * PR)**(1/2))\n*\n* See LAPACK User's Guide section 4.11 or the following references\n* for more information.\n*\n* Note that if the default method for computing the Frobenius-norm-\n* based estimate DIF is not wanted (see SLATDF), then the parameter\n* IDIFJB (see below) should be changed from 3 to 4 (routine SLATDF\n* (IJOB = 2 will be used)). See STGSYL for more details.\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* References\n* ==========\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* [3] B. Kagstrom and P. Poromaa, LAPACK-Style Algorithms and Software\n* for Solving the Generalized Sylvester Equation and Estimating the\n* Separation between Regular Matrix Pairs, Report UMINF - 93.23,\n* Department of Computing Science, Umea University, S-901 87 Umea,\n* Sweden, December 1993, Revised April 1994, Also as LAPACK Working\n* Note 75. To appear in ACM Trans. on Math. Software, Vol 22, No 1,\n* 1996.\n*\n* =====================================================================\n*\n\n");
return Qnil;
}
if (rb_hash_aref(rblapack_options, sUsage) == Qtrue) {
printf("%s\n", "USAGE:\n alphar, alphai, beta, m, pl, pr, dif, work, iwork, info, a, b, q, z = NumRu::Lapack.stgsen( ijob, wantq, wantz, select, a, b, q, z, [:lwork => lwork, :liwork => liwork, :usage => usage, :help => help])\n");
return Qnil;
}
} else
rblapack_options = Qnil;
if (argc != 8 && argc != 10)
rb_raise(rb_eArgError,"wrong number of arguments (%d for 8)", argc);
rblapack_ijob = argv[0];
rblapack_wantq = argv[1];
rblapack_wantz = argv[2];
rblapack_select = argv[3];
rblapack_a = argv[4];
rblapack_b = argv[5];
rblapack_q = argv[6];
rblapack_z = argv[7];
if (argc == 10) {
rblapack_lwork = argv[8];
rblapack_liwork = argv[9];
} else if (rblapack_options != Qnil) {
rblapack_lwork = rb_hash_aref(rblapack_options, ID2SYM(rb_intern("lwork")));
rblapack_liwork = rb_hash_aref(rblapack_options, ID2SYM(rb_intern("liwork")));
} else {
rblapack_lwork = Qnil;
rblapack_liwork = Qnil;
}
ijob = NUM2INT(rblapack_ijob);
wantz = (rblapack_wantz == Qtrue);
if (!NA_IsNArray(rblapack_a))
rb_raise(rb_eArgError, "a (5th argument) must be NArray");
if (NA_RANK(rblapack_a) != 2)
rb_raise(rb_eArgError, "rank of a (5th 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 (7th argument) must be NArray");
if (NA_RANK(rblapack_q) != 2)
rb_raise(rb_eArgError, "rank of q (7th argument) must be %d", 2);
ldq = 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*);
wantq = (rblapack_wantq == Qtrue);
if (!NA_IsNArray(rblapack_b))
rb_raise(rb_eArgError, "b (6th argument) must be NArray");
if (NA_RANK(rblapack_b) != 2)
rb_raise(rb_eArgError, "rank of b (6th 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*);
if (!NA_IsNArray(rblapack_select))
rb_raise(rb_eArgError, "select (4th argument) must be NArray");
if (NA_RANK(rblapack_select) != 1)
rb_raise(rb_eArgError, "rank of select (4th argument) must be %d", 1);
if (NA_SHAPE0(rblapack_select) != n)
rb_raise(rb_eRuntimeError, "shape 0 of select must be the same as shape 1 of a");
if (NA_TYPE(rblapack_select) != NA_LINT)
rblapack_select = na_change_type(rblapack_select, NA_LINT);
select = NA_PTR_TYPE(rblapack_select, logical*);
if (!NA_IsNArray(rblapack_z))
rb_raise(rb_eArgError, "z (8th argument) must be NArray");
if (NA_RANK(rblapack_z) != 2)
rb_raise(rb_eArgError, "rank of z (8th argument) must be %d", 2);
ldz = NA_SHAPE0(rblapack_z);
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*);
if (rblapack_liwork == Qnil)
liwork = (ijob==1||ijob==2||ijob==4) ? n+6 : (ijob==3||ijob==5) ? MAX(2*m*(n-m),n+6) : 0;
else {
liwork = NUM2INT(rblapack_liwork);
}
if (rblapack_lwork == Qnil)
lwork = (ijob==1||ijob==2||ijob==4) ? MAX(4*n+16,2*m*(n-m)) : (ijob==3||ijob==5) ? MAX(4*n+16,4*m*(n-m)) : 0;
else {
lwork = NUM2INT(rblapack_lwork);
}
{
na_shape_t shape[1];
shape[0] = n;
rblapack_alphar = na_make_object(NA_SFLOAT, 1, shape, cNArray);
}
alphar = NA_PTR_TYPE(rblapack_alphar, real*);
{
na_shape_t shape[1];
shape[0] = n;
rblapack_alphai = na_make_object(NA_SFLOAT, 1, shape, cNArray);
}
alphai = NA_PTR_TYPE(rblapack_alphai, real*);
{
na_shape_t shape[1];
shape[0] = n;
rblapack_beta = na_make_object(NA_SFLOAT, 1, shape, cNArray);
}
beta = NA_PTR_TYPE(rblapack_beta, real*);
{
na_shape_t shape[1];
shape[0] = 2;
rblapack_dif = na_make_object(NA_SFLOAT, 1, shape, cNArray);
}
dif = NA_PTR_TYPE(rblapack_dif, real*);
{
na_shape_t shape[1];
shape[0] = MAX(1,lwork);
rblapack_work = na_make_object(NA_SFLOAT, 1, shape, cNArray);
}
work = NA_PTR_TYPE(rblapack_work, real*);
{
na_shape_t shape[1];
shape[0] = MAX(1,liwork);
rblapack_iwork = na_make_object(NA_LINT, 1, shape, cNArray);
}
iwork = NA_PTR_TYPE(rblapack_iwork, integer*);
{
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] = ldq;
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__;
stgsen_(&ijob, &wantq, &wantz, select, &n, a, &lda, b, &ldb, alphar, alphai, beta, q, &ldq, z, &ldz, &m, &pl, &pr, dif, work, &lwork, iwork, &liwork, &info);
rblapack_m = INT2NUM(m);
rblapack_pl = rb_float_new((double)pl);
rblapack_pr = rb_float_new((double)pr);
rblapack_info = INT2NUM(info);
return rb_ary_new3(14, rblapack_alphar, rblapack_alphai, rblapack_beta, rblapack_m, rblapack_pl, rblapack_pr, rblapack_dif, rblapack_work, rblapack_iwork, rblapack_info, rblapack_a, rblapack_b, rblapack_q, rblapack_z);
}
void
init_lapack_stgsen(VALUE mLapack, VALUE sH, VALUE sU, VALUE zero){
sHelp = sH;
sUsage = sU;
rblapack_ZERO = zero;
rb_define_module_function(mLapack, "stgsen", rblapack_stgsen, -1);
}
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