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#include "rb_lapack.h"
extern VOID dtrevc_(char* side, char* howmny, logical* select, integer* n, doublereal* t, integer* ldt, doublereal* vl, integer* ldvl, doublereal* vr, integer* ldvr, integer* mm, integer* m, doublereal* work, integer* info);
static VALUE
rblapack_dtrevc(int argc, VALUE *argv, VALUE self){
VALUE rblapack_side;
char side;
VALUE rblapack_howmny;
char howmny;
VALUE rblapack_select;
logical *select;
VALUE rblapack_t;
doublereal *t;
VALUE rblapack_vl;
doublereal *vl;
VALUE rblapack_vr;
doublereal *vr;
VALUE rblapack_m;
integer m;
VALUE rblapack_info;
integer info;
VALUE rblapack_select_out__;
logical *select_out__;
VALUE rblapack_vl_out__;
doublereal *vl_out__;
VALUE rblapack_vr_out__;
doublereal *vr_out__;
doublereal *work;
integer n;
integer ldt;
integer ldvl;
integer mm;
integer ldvr;
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 m, info, select, vl, vr = NumRu::Lapack.dtrevc( side, howmny, select, t, vl, vr, [:usage => usage, :help => help])\n\n\nFORTRAN MANUAL\n SUBROUTINE DTREVC( SIDE, HOWMNY, SELECT, N, T, LDT, VL, LDVL, VR, LDVR, MM, M, WORK, INFO )\n\n* Purpose\n* =======\n*\n* DTREVC computes some or all of the right and/or left eigenvectors of\n* a real upper quasi-triangular matrix T.\n* Matrices of this type are produced by the Schur factorization of\n* a real general matrix: A = Q*T*Q**T, as computed by DHSEQR.\n* \n* The right eigenvector x and the left eigenvector y of T corresponding\n* to an eigenvalue w are defined by:\n* \n* T*x = w*x, (y**H)*T = w*(y**H)\n* \n* where y**H denotes the conjugate transpose of y.\n* The eigenvalues are not input to this routine, but are read directly\n* from the diagonal blocks of T.\n* \n* This routine returns the matrices X and/or Y of right and left\n* eigenvectors of T, or the products Q*X and/or Q*Y, where Q is an\n* input matrix. If Q is the orthogonal factor that reduces a matrix\n* A to Schur form T, then Q*X and Q*Y are the matrices of right and\n* left eigenvectors of A.\n*\n\n* Arguments\n* =========\n*\n* SIDE (input) CHARACTER*1\n* = 'R': compute right eigenvectors only;\n* = 'L': compute left eigenvectors only;\n* = 'B': compute both right and left eigenvectors.\n*\n* HOWMNY (input) CHARACTER*1\n* = 'A': compute all right and/or left eigenvectors;\n* = 'B': compute all right and/or left eigenvectors,\n* backtransformed by the matrices in VR and/or VL;\n* = 'S': compute selected right and/or left eigenvectors,\n* as indicated by the logical array SELECT.\n*\n* SELECT (input/output) LOGICAL array, dimension (N)\n* If HOWMNY = 'S', SELECT specifies the eigenvectors to be\n* computed.\n* If w(j) is a real eigenvalue, the corresponding real\n* eigenvector is computed if SELECT(j) is .TRUE..\n* If w(j) and w(j+1) are the real and imaginary parts of a\n* complex eigenvalue, the corresponding complex eigenvector is\n* computed if either SELECT(j) or SELECT(j+1) is .TRUE., and\n* on exit SELECT(j) is set to .TRUE. and SELECT(j+1) is set to\n* .FALSE..\n* Not referenced if HOWMNY = 'A' or 'B'.\n*\n* N (input) INTEGER\n* The order of the matrix T. N >= 0.\n*\n* T (input) DOUBLE PRECISION array, dimension (LDT,N)\n* The upper quasi-triangular matrix T in Schur canonical form.\n*\n* LDT (input) INTEGER\n* The leading dimension of the array T. LDT >= max(1,N).\n*\n* VL (input/output) DOUBLE PRECISION array, dimension (LDVL,MM)\n* On entry, if SIDE = 'L' or 'B' and HOWMNY = 'B', VL must\n* contain an N-by-N matrix Q (usually the orthogonal matrix Q\n* of Schur vectors returned by DHSEQR).\n* On exit, if SIDE = 'L' or 'B', VL contains:\n* if HOWMNY = 'A', the matrix Y of left eigenvectors of T;\n* if HOWMNY = 'B', the matrix Q*Y;\n* if HOWMNY = 'S', the left eigenvectors of T specified by\n* SELECT, stored consecutively in the columns\n* of VL, in the same order as their\n* eigenvalues.\n* A complex eigenvector corresponding to a complex eigenvalue\n* is stored in two consecutive columns, the first holding the\n* real part, and the second the imaginary part.\n* Not referenced if SIDE = 'R'.\n*\n* LDVL (input) INTEGER\n* The leading dimension of the array VL. LDVL >= 1, and if\n* SIDE = 'L' or 'B', LDVL >= N.\n*\n* VR (input/output) DOUBLE PRECISION array, dimension (LDVR,MM)\n* On entry, if SIDE = 'R' or 'B' and HOWMNY = 'B', VR must\n* contain an N-by-N matrix Q (usually the orthogonal matrix Q\n* of Schur vectors returned by DHSEQR).\n* On exit, if SIDE = 'R' or 'B', VR contains:\n* if HOWMNY = 'A', the matrix X of right eigenvectors of T;\n* if HOWMNY = 'B', the matrix Q*X;\n* if HOWMNY = 'S', the right eigenvectors of T specified by\n* SELECT, stored consecutively in the columns\n* of VR, in the same order as their\n* eigenvalues.\n* A complex eigenvector corresponding to a complex eigenvalue\n* is stored in two consecutive columns, the first holding the\n* real part and the second the imaginary part.\n* Not referenced if SIDE = 'L'.\n*\n* LDVR (input) INTEGER\n* The leading dimension of the array VR. LDVR >= 1, and if\n* SIDE = 'R' or 'B', LDVR >= N.\n*\n* MM (input) INTEGER\n* The number of columns in the arrays VL and/or VR. MM >= M.\n*\n* M (output) INTEGER\n* The number of columns in the arrays VL and/or VR actually\n* used to store the eigenvectors.\n* If HOWMNY = 'A' or 'B', M is set to N.\n* Each selected real eigenvector occupies one column and each\n* selected complex eigenvector occupies two columns.\n*\n* WORK (workspace) DOUBLE PRECISION array, dimension (3*N)\n*\n* INFO (output) INTEGER\n* = 0: successful exit\n* < 0: if INFO = -i, the i-th argument had an illegal value\n*\n\n* Further Details\n* ===============\n*\n* The algorithm used in this program is basically backward (forward)\n* substitution, with scaling to make the the code robust against\n* possible overflow.\n*\n* Each eigenvector is normalized so that the element of largest\n* magnitude has magnitude 1; here the magnitude of a complex number\n* (x,y) is taken to be |x| + |y|.\n*\n* =====================================================================\n*\n\n");
return Qnil;
}
if (rb_hash_aref(rblapack_options, sUsage) == Qtrue) {
printf("%s\n", "USAGE:\n m, info, select, vl, vr = NumRu::Lapack.dtrevc( side, howmny, select, t, vl, vr, [:usage => usage, :help => help])\n");
return Qnil;
}
} else
rblapack_options = Qnil;
if (argc != 6 && argc != 6)
rb_raise(rb_eArgError,"wrong number of arguments (%d for 6)", argc);
rblapack_side = argv[0];
rblapack_howmny = argv[1];
rblapack_select = argv[2];
rblapack_t = argv[3];
rblapack_vl = argv[4];
rblapack_vr = argv[5];
if (argc == 6) {
} else if (rblapack_options != Qnil) {
} else {
}
side = StringValueCStr(rblapack_side)[0];
if (!NA_IsNArray(rblapack_select))
rb_raise(rb_eArgError, "select (3th argument) must be NArray");
if (NA_RANK(rblapack_select) != 1)
rb_raise(rb_eArgError, "rank of select (3th argument) must be %d", 1);
n = NA_SHAPE0(rblapack_select);
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_vl))
rb_raise(rb_eArgError, "vl (5th argument) must be NArray");
if (NA_RANK(rblapack_vl) != 2)
rb_raise(rb_eArgError, "rank of vl (5th argument) must be %d", 2);
ldvl = NA_SHAPE0(rblapack_vl);
mm = NA_SHAPE1(rblapack_vl);
if (NA_TYPE(rblapack_vl) != NA_DFLOAT)
rblapack_vl = na_change_type(rblapack_vl, NA_DFLOAT);
vl = NA_PTR_TYPE(rblapack_vl, doublereal*);
howmny = StringValueCStr(rblapack_howmny)[0];
if (!NA_IsNArray(rblapack_vr))
rb_raise(rb_eArgError, "vr (6th argument) must be NArray");
if (NA_RANK(rblapack_vr) != 2)
rb_raise(rb_eArgError, "rank of vr (6th argument) must be %d", 2);
ldvr = NA_SHAPE0(rblapack_vr);
if (NA_SHAPE1(rblapack_vr) != mm)
rb_raise(rb_eRuntimeError, "shape 1 of vr must be the same as shape 1 of vl");
if (NA_TYPE(rblapack_vr) != NA_DFLOAT)
rblapack_vr = na_change_type(rblapack_vr, NA_DFLOAT);
vr = NA_PTR_TYPE(rblapack_vr, doublereal*);
if (!NA_IsNArray(rblapack_t))
rb_raise(rb_eArgError, "t (4th argument) must be NArray");
if (NA_RANK(rblapack_t) != 2)
rb_raise(rb_eArgError, "rank of t (4th argument) must be %d", 2);
ldt = NA_SHAPE0(rblapack_t);
if (NA_SHAPE1(rblapack_t) != n)
rb_raise(rb_eRuntimeError, "shape 1 of t must be the same as shape 0 of select");
if (NA_TYPE(rblapack_t) != NA_DFLOAT)
rblapack_t = na_change_type(rblapack_t, NA_DFLOAT);
t = NA_PTR_TYPE(rblapack_t, doublereal*);
{
na_shape_t shape[1];
shape[0] = n;
rblapack_select_out__ = na_make_object(NA_LINT, 1, shape, cNArray);
}
select_out__ = NA_PTR_TYPE(rblapack_select_out__, logical*);
MEMCPY(select_out__, select, logical, NA_TOTAL(rblapack_select));
rblapack_select = rblapack_select_out__;
select = select_out__;
{
na_shape_t shape[2];
shape[0] = ldvl;
shape[1] = mm;
rblapack_vl_out__ = na_make_object(NA_DFLOAT, 2, shape, cNArray);
}
vl_out__ = NA_PTR_TYPE(rblapack_vl_out__, doublereal*);
MEMCPY(vl_out__, vl, doublereal, NA_TOTAL(rblapack_vl));
rblapack_vl = rblapack_vl_out__;
vl = vl_out__;
{
na_shape_t shape[2];
shape[0] = ldvr;
shape[1] = mm;
rblapack_vr_out__ = na_make_object(NA_DFLOAT, 2, shape, cNArray);
}
vr_out__ = NA_PTR_TYPE(rblapack_vr_out__, doublereal*);
MEMCPY(vr_out__, vr, doublereal, NA_TOTAL(rblapack_vr));
rblapack_vr = rblapack_vr_out__;
vr = vr_out__;
work = ALLOC_N(doublereal, (3*n));
dtrevc_(&side, &howmny, select, &n, t, &ldt, vl, &ldvl, vr, &ldvr, &mm, &m, work, &info);
free(work);
rblapack_m = INT2NUM(m);
rblapack_info = INT2NUM(info);
return rb_ary_new3(5, rblapack_m, rblapack_info, rblapack_select, rblapack_vl, rblapack_vr);
}
void
init_lapack_dtrevc(VALUE mLapack, VALUE sH, VALUE sU, VALUE zero){
sHelp = sH;
sUsage = sU;
rblapack_ZERO = zero;
rb_define_module_function(mLapack, "dtrevc", rblapack_dtrevc, -1);
}
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