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#include "rb_lapack.h"
extern real slansf_(char* norm, char* transr, char* uplo, integer* n, real* a, real* work);
static VALUE
rblapack_slansf(int argc, VALUE *argv, VALUE self){
VALUE rblapack_norm;
char norm;
VALUE rblapack_transr;
char transr;
VALUE rblapack_uplo;
char uplo;
VALUE rblapack_n;
integer n;
VALUE rblapack_a;
real *a;
VALUE rblapack___out__;
real __out__;
real *work;
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 __out__ = NumRu::Lapack.slansf( norm, transr, uplo, n, a, [:usage => usage, :help => help])\n\n\nFORTRAN MANUAL\n REAL FUNCTION SLANSF( NORM, TRANSR, UPLO, N, A, WORK )\n\n* Purpose\n* =======\n*\n* SLANSF returns the value of the one norm, or the Frobenius norm, or\n* the infinity norm, or the element of largest absolute value of a\n* real symmetric matrix A in RFP format.\n*\n* Description\n* ===========\n*\n* SLANSF returns the value\n*\n* SLANSF = ( max(abs(A(i,j))), NORM = 'M' or 'm'\n* (\n* ( norm1(A), NORM = '1', 'O' or 'o'\n* (\n* ( normI(A), NORM = 'I' or 'i'\n* (\n* ( normF(A), NORM = 'F', 'f', 'E' or 'e'\n*\n* where norm1 denotes the one norm of a matrix (maximum column sum),\n* normI denotes the infinity norm of a matrix (maximum row sum) and\n* normF denotes the Frobenius norm of a matrix (square root of sum of\n* squares). Note that max(abs(A(i,j))) is not a matrix norm.\n*\n\n* Arguments\n* =========\n*\n* NORM (input) CHARACTER*1\n* Specifies the value to be returned in SLANSF as described\n* above.\n*\n* TRANSR (input) CHARACTER*1\n* Specifies whether the RFP format of A is normal or\n* transposed format.\n* = 'N': RFP format is Normal;\n* = 'T': RFP format is Transpose.\n*\n* UPLO (input) CHARACTER*1\n* On entry, UPLO specifies whether the RFP matrix A came from\n* an upper or lower triangular matrix as follows:\n* = 'U': RFP A came from an upper triangular matrix;\n* = 'L': RFP A came from a lower triangular matrix.\n*\n* N (input) INTEGER\n* The order of the matrix A. N >= 0. When N = 0, SLANSF is\n* set to zero.\n*\n* A (input) REAL array, dimension ( N*(N+1)/2 );\n* On entry, the upper (if UPLO = 'U') or lower (if UPLO = 'L')\n* part of the symmetric matrix A stored in RFP format. See the\n* \"Notes\" below for more details.\n* Unchanged on exit.\n*\n* WORK (workspace) REAL array, dimension (MAX(1,LWORK)),\n* where LWORK >= N when NORM = 'I' or '1' or 'O'; otherwise,\n* WORK is not referenced.\n*\n\n* Further Details\n* ===============\n*\n* We first consider Rectangular Full Packed (RFP) Format when N is\n* even. We give an example where N = 6.\n*\n* AP is Upper AP is Lower\n*\n* 00 01 02 03 04 05 00\n* 11 12 13 14 15 10 11\n* 22 23 24 25 20 21 22\n* 33 34 35 30 31 32 33\n* 44 45 40 41 42 43 44\n* 55 50 51 52 53 54 55\n*\n*\n* Let TRANSR = 'N'. RFP holds AP as follows:\n* For UPLO = 'U' the upper trapezoid A(0:5,0:2) consists of the last\n* three columns of AP upper. The lower triangle A(4:6,0:2) consists of\n* the transpose of the first three columns of AP upper.\n* For UPLO = 'L' the lower trapezoid A(1:6,0:2) consists of the first\n* three columns of AP lower. The upper triangle A(0:2,0:2) consists of\n* the transpose of the last three columns of AP lower.\n* This covers the case N even and TRANSR = 'N'.\n*\n* RFP A RFP A\n*\n* 03 04 05 33 43 53\n* 13 14 15 00 44 54\n* 23 24 25 10 11 55\n* 33 34 35 20 21 22\n* 00 44 45 30 31 32\n* 01 11 55 40 41 42\n* 02 12 22 50 51 52\n*\n* Now let TRANSR = 'T'. RFP A in both UPLO cases is just the\n* transpose of RFP A above. One therefore gets:\n*\n*\n* RFP A RFP A\n*\n* 03 13 23 33 00 01 02 33 00 10 20 30 40 50\n* 04 14 24 34 44 11 12 43 44 11 21 31 41 51\n* 05 15 25 35 45 55 22 53 54 55 22 32 42 52\n*\n*\n* We then consider Rectangular Full Packed (RFP) Format when N is\n* odd. We give an example where N = 5.\n*\n* AP is Upper AP is Lower\n*\n* 00 01 02 03 04 00\n* 11 12 13 14 10 11\n* 22 23 24 20 21 22\n* 33 34 30 31 32 33\n* 44 40 41 42 43 44\n*\n*\n* Let TRANSR = 'N'. RFP holds AP as follows:\n* For UPLO = 'U' the upper trapezoid A(0:4,0:2) consists of the last\n* three columns of AP upper. The lower triangle A(3:4,0:1) consists of\n* the transpose of the first two columns of AP upper.\n* For UPLO = 'L' the lower trapezoid A(0:4,0:2) consists of the first\n* three columns of AP lower. The upper triangle A(0:1,1:2) consists of\n* the transpose of the last two columns of AP lower.\n* This covers the case N odd and TRANSR = 'N'.\n*\n* RFP A RFP A\n*\n* 02 03 04 00 33 43\n* 12 13 14 10 11 44\n* 22 23 24 20 21 22\n* 00 33 34 30 31 32\n* 01 11 44 40 41 42\n*\n* Now let TRANSR = 'T'. RFP A in both UPLO cases is just the\n* transpose of RFP A above. One therefore gets:\n*\n* RFP A RFP A\n*\n* 02 12 22 00 01 00 10 20 30 40 50\n* 03 13 23 33 11 33 11 21 31 41 51\n* 04 14 24 34 44 43 44 22 32 42 52\n*\n* Reference\n* =========\n*\n* =====================================================================\n*\n* ..\n\n");
return Qnil;
}
if (rb_hash_aref(rblapack_options, sUsage) == Qtrue) {
printf("%s\n", "USAGE:\n __out__ = NumRu::Lapack.slansf( norm, transr, uplo, n, a, [:usage => usage, :help => help])\n");
return Qnil;
}
} else
rblapack_options = Qnil;
if (argc != 5 && argc != 5)
rb_raise(rb_eArgError,"wrong number of arguments (%d for 5)", argc);
rblapack_norm = argv[0];
rblapack_transr = argv[1];
rblapack_uplo = argv[2];
rblapack_n = argv[3];
rblapack_a = argv[4];
if (argc == 5) {
} else if (rblapack_options != Qnil) {
} else {
}
norm = StringValueCStr(rblapack_norm)[0];
uplo = StringValueCStr(rblapack_uplo)[0];
transr = StringValueCStr(rblapack_transr)[0];
n = NUM2INT(rblapack_n);
if (!NA_IsNArray(rblapack_a))
rb_raise(rb_eArgError, "a (5th argument) must be NArray");
if (NA_RANK(rblapack_a) != 1)
rb_raise(rb_eArgError, "rank of a (5th argument) must be %d", 1);
if (NA_SHAPE0(rblapack_a) != (n*(n+1)/2))
rb_raise(rb_eRuntimeError, "shape 0 of a must be %d", n*(n+1)/2);
if (NA_TYPE(rblapack_a) != NA_SFLOAT)
rblapack_a = na_change_type(rblapack_a, NA_SFLOAT);
a = NA_PTR_TYPE(rblapack_a, real*);
work = ALLOC_N(real, (MAX(1,(lsame_(&norm,"I")||lsame_(&norm,"1")||lsame_(&norm,"o")) ? n : 0)));
__out__ = slansf_(&norm, &transr, &uplo, &n, a, work);
free(work);
rblapack___out__ = rb_float_new((double)__out__);
return rblapack___out__;
}
void
init_lapack_slansf(VALUE mLapack, VALUE sH, VALUE sU, VALUE zero){
sHelp = sH;
sUsage = sU;
rblapack_ZERO = zero;
rb_define_module_function(mLapack, "slansf", rblapack_slansf, -1);
}
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