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#include "rb_lapack.h"
extern VOID zhegvd_(integer* itype, char* jobz, char* uplo, integer* n, doublecomplex* a, integer* lda, doublecomplex* b, integer* ldb, doublereal* w, doublecomplex* work, integer* lwork, doublereal* rwork, integer* lrwork, integer* iwork, integer* liwork, integer* info);
static VALUE
rblapack_zhegvd(int argc, VALUE *argv, VALUE self){
VALUE rblapack_itype;
integer itype;
VALUE rblapack_jobz;
char jobz;
VALUE rblapack_uplo;
char uplo;
VALUE rblapack_a;
doublecomplex *a;
VALUE rblapack_b;
doublecomplex *b;
VALUE rblapack_lwork;
integer lwork;
VALUE rblapack_lrwork;
integer lrwork;
VALUE rblapack_liwork;
integer liwork;
VALUE rblapack_w;
doublereal *w;
VALUE rblapack_work;
doublecomplex *work;
VALUE rblapack_rwork;
doublereal *rwork;
VALUE rblapack_iwork;
integer *iwork;
VALUE rblapack_info;
integer info;
VALUE rblapack_a_out__;
doublecomplex *a_out__;
VALUE rblapack_b_out__;
doublecomplex *b_out__;
integer lda;
integer n;
integer ldb;
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 w, work, rwork, iwork, info, a, b = NumRu::Lapack.zhegvd( itype, jobz, uplo, a, b, [:lwork => lwork, :lrwork => lrwork, :liwork => liwork, :usage => usage, :help => help])\n\n\nFORTRAN MANUAL\n SUBROUTINE ZHEGVD( ITYPE, JOBZ, UPLO, N, A, LDA, B, LDB, W, WORK, LWORK, RWORK, LRWORK, IWORK, LIWORK, INFO )\n\n* Purpose\n* =======\n*\n* ZHEGVD computes all the eigenvalues, and optionally, the eigenvectors\n* of a complex generalized Hermitian-definite eigenproblem, of the form\n* A*x=(lambda)*B*x, A*Bx=(lambda)*x, or B*A*x=(lambda)*x. Here A and\n* B are assumed to be Hermitian and B is also positive definite.\n* If eigenvectors are desired, it uses a divide and conquer algorithm.\n*\n* The divide and conquer algorithm makes very mild assumptions about\n* floating point arithmetic. It will work on machines with a guard\n* digit in add/subtract, or on those binary machines without guard\n* digits which subtract like the Cray X-MP, Cray Y-MP, Cray C-90, or\n* Cray-2. It could conceivably fail on hexadecimal or decimal machines\n* without guard digits, but we know of none.\n*\n\n* Arguments\n* =========\n*\n* ITYPE (input) INTEGER\n* Specifies the problem type to be solved:\n* = 1: A*x = (lambda)*B*x\n* = 2: A*B*x = (lambda)*x\n* = 3: B*A*x = (lambda)*x\n*\n* JOBZ (input) CHARACTER*1\n* = 'N': Compute eigenvalues only;\n* = 'V': Compute eigenvalues and eigenvectors.\n*\n* UPLO (input) CHARACTER*1\n* = 'U': Upper triangles of A and B are stored;\n* = 'L': Lower triangles of A and B are stored.\n*\n* N (input) INTEGER\n* The order of the matrices A and B. N >= 0.\n*\n* A (input/output) COMPLEX*16 array, dimension (LDA, N)\n* On entry, the Hermitian matrix A. If UPLO = 'U', the\n* leading N-by-N upper triangular part of A contains the\n* upper triangular part of the matrix A. If UPLO = 'L',\n* the leading N-by-N lower triangular part of A contains\n* the lower triangular part of the matrix A.\n*\n* On exit, if JOBZ = 'V', then if INFO = 0, A contains the\n* matrix Z of eigenvectors. The eigenvectors are normalized\n* as follows:\n* if ITYPE = 1 or 2, Z**H*B*Z = I;\n* if ITYPE = 3, Z**H*inv(B)*Z = I.\n* If JOBZ = 'N', then on exit the upper triangle (if UPLO='U')\n* or the lower triangle (if UPLO='L') of A, including the\n* diagonal, is destroyed.\n*\n* LDA (input) INTEGER\n* The leading dimension of the array A. LDA >= max(1,N).\n*\n* B (input/output) COMPLEX*16 array, dimension (LDB, N)\n* On entry, the Hermitian matrix B. If UPLO = 'U', the\n* leading N-by-N upper triangular part of B contains the\n* upper triangular part of the matrix B. If UPLO = 'L',\n* the leading N-by-N lower triangular part of B contains\n* the lower triangular part of the matrix B.\n*\n* On exit, if INFO <= N, the part of B containing the matrix is\n* overwritten by the triangular factor U or L from the Cholesky\n* factorization B = U**H*U or B = L*L**H.\n*\n* LDB (input) INTEGER\n* The leading dimension of the array B. LDB >= max(1,N).\n*\n* W (output) DOUBLE PRECISION array, dimension (N)\n* If INFO = 0, the eigenvalues in ascending order.\n*\n* WORK (workspace/output) COMPLEX*16 array, dimension (MAX(1,LWORK))\n* On exit, if INFO = 0, WORK(1) returns the optimal LWORK.\n*\n* LWORK (input) INTEGER\n* The length of the array WORK.\n* If N <= 1, LWORK >= 1.\n* If JOBZ = 'N' and N > 1, LWORK >= N + 1.\n* If JOBZ = 'V' and N > 1, LWORK >= 2*N + N**2.\n*\n* If LWORK = -1, then a workspace query is assumed; the routine\n* only calculates the optimal sizes of the WORK, RWORK and\n* IWORK arrays, returns these values as the first entries of\n* the WORK, RWORK and IWORK arrays, and no error message\n* related to LWORK or LRWORK or LIWORK is issued by XERBLA.\n*\n* RWORK (workspace/output) DOUBLE PRECISION array, dimension (MAX(1,LRWORK))\n* On exit, if INFO = 0, RWORK(1) returns the optimal LRWORK.\n*\n* LRWORK (input) INTEGER\n* The dimension of the array RWORK.\n* If N <= 1, LRWORK >= 1.\n* If JOBZ = 'N' and N > 1, LRWORK >= N.\n* If JOBZ = 'V' and N > 1, LRWORK >= 1 + 5*N + 2*N**2.\n*\n* If LRWORK = -1, then a workspace query is assumed; the\n* routine only calculates the optimal sizes of the WORK, RWORK\n* and IWORK arrays, returns these values as the first entries\n* of the WORK, RWORK and IWORK arrays, and no error message\n* related to LWORK or LRWORK or LIWORK 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.\n* If N <= 1, LIWORK >= 1.\n* If JOBZ = 'N' and N > 1, LIWORK >= 1.\n* If JOBZ = 'V' and N > 1, LIWORK >= 3 + 5*N.\n*\n* If LIWORK = -1, then a workspace query is assumed; the\n* routine only calculates the optimal sizes of the WORK, RWORK\n* and IWORK arrays, returns these values as the first entries\n* of the WORK, RWORK and IWORK arrays, and no error message\n* related to LWORK or LRWORK or 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* > 0: ZPOTRF or ZHEEVD returned an error code:\n* <= N: if INFO = i and JOBZ = 'N', then the algorithm\n* failed to converge; i off-diagonal elements of an\n* intermediate tridiagonal form did not converge to\n* zero;\n* if INFO = i and JOBZ = 'V', then the algorithm\n* failed to compute an eigenvalue while working on\n* the submatrix lying in rows and columns INFO/(N+1)\n* through mod(INFO,N+1);\n* > N: if INFO = N + i, for 1 <= i <= N, then the leading\n* minor of order i of B is not positive definite.\n* The factorization of B could not be completed and\n* no eigenvalues or eigenvectors were computed.\n*\n\n* Further Details\n* ===============\n*\n* Based on contributions by\n* Mark Fahey, Department of Mathematics, Univ. of Kentucky, USA\n*\n* Modified so that no backsubstitution is performed if ZHEEVD fails to\n* converge (NEIG in old code could be greater than N causing out of\n* bounds reference to A - reported by Ralf Meyer). Also corrected the\n* description of INFO and the test on ITYPE. Sven, 16 Feb 05.\n* =====================================================================\n*\n\n");
return Qnil;
}
if (rb_hash_aref(rblapack_options, sUsage) == Qtrue) {
printf("%s\n", "USAGE:\n w, work, rwork, iwork, info, a, b = NumRu::Lapack.zhegvd( itype, jobz, uplo, a, b, [:lwork => lwork, :lrwork => lrwork, :liwork => liwork, :usage => usage, :help => help])\n");
return Qnil;
}
} else
rblapack_options = Qnil;
if (argc != 5 && argc != 8)
rb_raise(rb_eArgError,"wrong number of arguments (%d for 5)", argc);
rblapack_itype = argv[0];
rblapack_jobz = argv[1];
rblapack_uplo = argv[2];
rblapack_a = argv[3];
rblapack_b = argv[4];
if (argc == 8) {
rblapack_lwork = argv[5];
rblapack_lrwork = argv[6];
rblapack_liwork = argv[7];
} else if (rblapack_options != Qnil) {
rblapack_lwork = rb_hash_aref(rblapack_options, ID2SYM(rb_intern("lwork")));
rblapack_lrwork = rb_hash_aref(rblapack_options, ID2SYM(rb_intern("lrwork")));
rblapack_liwork = rb_hash_aref(rblapack_options, ID2SYM(rb_intern("liwork")));
} else {
rblapack_lwork = Qnil;
rblapack_lrwork = Qnil;
rblapack_liwork = Qnil;
}
itype = NUM2INT(rblapack_itype);
uplo = StringValueCStr(rblapack_uplo)[0];
if (!NA_IsNArray(rblapack_b))
rb_raise(rb_eArgError, "b (5th argument) must be NArray");
if (NA_RANK(rblapack_b) != 2)
rb_raise(rb_eArgError, "rank of b (5th argument) must be %d", 2);
ldb = NA_SHAPE0(rblapack_b);
n = NA_SHAPE1(rblapack_b);
if (NA_TYPE(rblapack_b) != NA_DCOMPLEX)
rblapack_b = na_change_type(rblapack_b, NA_DCOMPLEX);
b = NA_PTR_TYPE(rblapack_b, doublecomplex*);
jobz = StringValueCStr(rblapack_jobz)[0];
if (!NA_IsNArray(rblapack_a))
rb_raise(rb_eArgError, "a (4th argument) must be NArray");
if (NA_RANK(rblapack_a) != 2)
rb_raise(rb_eArgError, "rank of a (4th argument) must be %d", 2);
lda = NA_SHAPE0(rblapack_a);
if (NA_SHAPE1(rblapack_a) != n)
rb_raise(rb_eRuntimeError, "shape 1 of a must be the same as shape 1 of b");
if (NA_TYPE(rblapack_a) != NA_DCOMPLEX)
rblapack_a = na_change_type(rblapack_a, NA_DCOMPLEX);
a = NA_PTR_TYPE(rblapack_a, doublecomplex*);
if (rblapack_lrwork == Qnil)
lrwork = n<=1 ? 1 : lsame_(&jobz,"N") ? n : lsame_(&jobz,"V") ? 1+5*n+2*n*n : 0;
else {
lrwork = NUM2INT(rblapack_lrwork);
}
if (rblapack_lwork == Qnil)
lwork = n<=1 ? 1 : lsame_(&jobz,"N") ? n+1 : lsame_(&jobz,"V") ? 2*n+n*n : 0;
else {
lwork = NUM2INT(rblapack_lwork);
}
if (rblapack_liwork == Qnil)
liwork = n<=1 ? 1 : lsame_(&jobz,"N") ? 1 : lsame_(&jobz,"V") ? 3+5*n : 0;
else {
liwork = NUM2INT(rblapack_liwork);
}
{
na_shape_t shape[1];
shape[0] = n;
rblapack_w = na_make_object(NA_DFLOAT, 1, shape, cNArray);
}
w = NA_PTR_TYPE(rblapack_w, doublereal*);
{
na_shape_t shape[1];
shape[0] = MAX(1,lwork);
rblapack_work = na_make_object(NA_DCOMPLEX, 1, shape, cNArray);
}
work = NA_PTR_TYPE(rblapack_work, doublecomplex*);
{
na_shape_t shape[1];
shape[0] = MAX(1,lrwork);
rblapack_rwork = na_make_object(NA_DFLOAT, 1, shape, cNArray);
}
rwork = NA_PTR_TYPE(rblapack_rwork, doublereal*);
{
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_DCOMPLEX, 2, shape, cNArray);
}
a_out__ = NA_PTR_TYPE(rblapack_a_out__, doublecomplex*);
MEMCPY(a_out__, a, doublecomplex, 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_DCOMPLEX, 2, shape, cNArray);
}
b_out__ = NA_PTR_TYPE(rblapack_b_out__, doublecomplex*);
MEMCPY(b_out__, b, doublecomplex, NA_TOTAL(rblapack_b));
rblapack_b = rblapack_b_out__;
b = b_out__;
zhegvd_(&itype, &jobz, &uplo, &n, a, &lda, b, &ldb, w, work, &lwork, rwork, &lrwork, iwork, &liwork, &info);
rblapack_info = INT2NUM(info);
return rb_ary_new3(7, rblapack_w, rblapack_work, rblapack_rwork, rblapack_iwork, rblapack_info, rblapack_a, rblapack_b);
}
void
init_lapack_zhegvd(VALUE mLapack, VALUE sH, VALUE sU, VALUE zero){
sHelp = sH;
sUsage = sU;
rblapack_ZERO = zero;
rb_define_module_function(mLapack, "zhegvd", rblapack_zhegvd, -1);
}
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