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#include "rb_lapack.h"
extern VOID dsptrf_(char* uplo, integer* n, doublereal* ap, integer* ipiv, integer* info);
static VALUE
rblapack_dsptrf(int argc, VALUE *argv, VALUE self){
VALUE rblapack_uplo;
char uplo;
VALUE rblapack_ap;
doublereal *ap;
VALUE rblapack_ipiv;
integer *ipiv;
VALUE rblapack_info;
integer info;
VALUE rblapack_ap_out__;
doublereal *ap_out__;
integer ldap;
integer n;
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 ipiv, info, ap = NumRu::Lapack.dsptrf( uplo, ap, [:usage => usage, :help => help])\n\n\nFORTRAN MANUAL\n SUBROUTINE DSPTRF( UPLO, N, AP, IPIV, INFO )\n\n* Purpose\n* =======\n*\n* DSPTRF computes the factorization of a real symmetric matrix A stored\n* in packed format using the Bunch-Kaufman diagonal pivoting method:\n*\n* A = U*D*U**T or A = L*D*L**T\n*\n* where U (or L) is a product of permutation and unit upper (lower)\n* triangular matrices, and D is symmetric and block diagonal with\n* 1-by-1 and 2-by-2 diagonal blocks.\n*\n\n* Arguments\n* =========\n*\n* UPLO (input) CHARACTER*1\n* = 'U': Upper triangle of A is stored;\n* = 'L': Lower triangle of A is stored.\n*\n* N (input) INTEGER\n* The order of the matrix A. N >= 0.\n*\n* AP (input/output) DOUBLE PRECISION array, dimension (N*(N+1)/2)\n* On entry, the upper or lower triangle of the symmetric matrix\n* A, packed columnwise in a linear array. The j-th column of A\n* is stored in the array AP as follows:\n* if UPLO = 'U', AP(i + (j-1)*j/2) = A(i,j) for 1<=i<=j;\n* if UPLO = 'L', AP(i + (j-1)*(2n-j)/2) = A(i,j) for j<=i<=n.\n*\n* On exit, the block diagonal matrix D and the multipliers used\n* to obtain the factor U or L, stored as a packed triangular\n* matrix overwriting A (see below for further details).\n*\n* IPIV (output) INTEGER array, dimension (N)\n* Details of the interchanges and the block structure of D.\n* If IPIV(k) > 0, then rows and columns k and IPIV(k) were\n* interchanged and D(k,k) is a 1-by-1 diagonal block.\n* If UPLO = 'U' and IPIV(k) = IPIV(k-1) < 0, then rows and\n* columns k-1 and -IPIV(k) were interchanged and D(k-1:k,k-1:k)\n* is a 2-by-2 diagonal block. If UPLO = 'L' and IPIV(k) =\n* IPIV(k+1) < 0, then rows and columns k+1 and -IPIV(k) were\n* interchanged and D(k:k+1,k:k+1) is a 2-by-2 diagonal block.\n*\n* INFO (output) INTEGER\n* = 0: successful exit\n* < 0: if INFO = -i, the i-th argument had an illegal value\n* > 0: if INFO = i, D(i,i) is exactly zero. The factorization\n* has been completed, but the block diagonal matrix D is\n* exactly singular, and division by zero will occur if it\n* is used to solve a system of equations.\n*\n\n* Further Details\n* ===============\n*\n* 5-96 - Based on modifications by J. Lewis, Boeing Computer Services\n* Company\n*\n* If UPLO = 'U', then A = U*D*U', where\n* U = P(n)*U(n)* ... *P(k)U(k)* ...,\n* i.e., U is a product of terms P(k)*U(k), where k decreases from n to\n* 1 in steps of 1 or 2, and D is a block diagonal matrix with 1-by-1\n* and 2-by-2 diagonal blocks D(k). P(k) is a permutation matrix as\n* defined by IPIV(k), and U(k) is a unit upper triangular matrix, such\n* that if the diagonal block D(k) is of order s (s = 1 or 2), then\n*\n* ( I v 0 ) k-s\n* U(k) = ( 0 I 0 ) s\n* ( 0 0 I ) n-k\n* k-s s n-k\n*\n* If s = 1, D(k) overwrites A(k,k), and v overwrites A(1:k-1,k).\n* If s = 2, the upper triangle of D(k) overwrites A(k-1,k-1), A(k-1,k),\n* and A(k,k), and v overwrites A(1:k-2,k-1:k).\n*\n* If UPLO = 'L', then A = L*D*L', where\n* L = P(1)*L(1)* ... *P(k)*L(k)* ...,\n* i.e., L is a product of terms P(k)*L(k), where k increases from 1 to\n* n in steps of 1 or 2, and D is a block diagonal matrix with 1-by-1\n* and 2-by-2 diagonal blocks D(k). P(k) is a permutation matrix as\n* defined by IPIV(k), and L(k) is a unit lower triangular matrix, such\n* that if the diagonal block D(k) is of order s (s = 1 or 2), then\n*\n* ( I 0 0 ) k-1\n* L(k) = ( 0 I 0 ) s\n* ( 0 v I ) n-k-s+1\n* k-1 s n-k-s+1\n*\n* If s = 1, D(k) overwrites A(k,k), and v overwrites A(k+1:n,k).\n* If s = 2, the lower triangle of D(k) overwrites A(k,k), A(k+1,k),\n* and A(k+1,k+1), and v overwrites A(k+2:n,k:k+1).\n*\n* =====================================================================\n*\n\n");
return Qnil;
}
if (rb_hash_aref(rblapack_options, sUsage) == Qtrue) {
printf("%s\n", "USAGE:\n ipiv, info, ap = NumRu::Lapack.dsptrf( uplo, ap, [:usage => usage, :help => help])\n");
return Qnil;
}
} else
rblapack_options = Qnil;
if (argc != 2 && argc != 2)
rb_raise(rb_eArgError,"wrong number of arguments (%d for 2)", argc);
rblapack_uplo = argv[0];
rblapack_ap = argv[1];
if (argc == 2) {
} else if (rblapack_options != Qnil) {
} else {
}
uplo = StringValueCStr(rblapack_uplo)[0];
if (!NA_IsNArray(rblapack_ap))
rb_raise(rb_eArgError, "ap (2th argument) must be NArray");
if (NA_RANK(rblapack_ap) != 1)
rb_raise(rb_eArgError, "rank of ap (2th argument) must be %d", 1);
ldap = NA_SHAPE0(rblapack_ap);
if (NA_TYPE(rblapack_ap) != NA_DFLOAT)
rblapack_ap = na_change_type(rblapack_ap, NA_DFLOAT);
ap = NA_PTR_TYPE(rblapack_ap, doublereal*);
n = ((int)sqrtf(ldap*8+1.0f)-1)/2;
{
na_shape_t shape[1];
shape[0] = n;
rblapack_ipiv = na_make_object(NA_LINT, 1, shape, cNArray);
}
ipiv = NA_PTR_TYPE(rblapack_ipiv, integer*);
{
na_shape_t shape[1];
shape[0] = ldap;
rblapack_ap_out__ = na_make_object(NA_DFLOAT, 1, shape, cNArray);
}
ap_out__ = NA_PTR_TYPE(rblapack_ap_out__, doublereal*);
MEMCPY(ap_out__, ap, doublereal, NA_TOTAL(rblapack_ap));
rblapack_ap = rblapack_ap_out__;
ap = ap_out__;
dsptrf_(&uplo, &n, ap, ipiv, &info);
rblapack_info = INT2NUM(info);
return rb_ary_new3(3, rblapack_ipiv, rblapack_info, rblapack_ap);
}
void
init_lapack_dsptrf(VALUE mLapack, VALUE sH, VALUE sU, VALUE zero){
sHelp = sH;
sUsage = sU;
rblapack_ZERO = zero;
rb_define_module_function(mLapack, "dsptrf", rblapack_dsptrf, -1);
}
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