2010-08-19 Tobias Burnus <burnus@net-b.de>
PR fortran/36158
PR fortran/33197
* intrinsic.c (add_sym): Init value attribute.
(set_attr_value): New function.
(add_functions) Use it and add JN/YN resolvers.
* symbol.c (gfc_copy_formal_args_intr): Copy value attr.
* intrinsic.h (gfc_resolve_bessel_n2): New prototype.
* gfortran.h (gfc_intrinsic_arg): Add value attribute.
* iresolve.c (gfc_resolve_bessel_n2): New function.
* trans-intrinsic.c (gfc_get_symbol_for_expr): Create
formal arg list.
(gfc_conv_intrinsic_function,gfc_is_intrinsic_libcall):
Add GFC_ISYM_JN2/GFC_ISYM_YN2 as case value.
* simplify.c (): For YN set to -INF if previous values
was -INF.
* trans-expr.c (gfc_conv_procedure_call): Don't crash
if sym->as is NULL.
* iresolve.c (gfc_resolve_extends_type_of): Set the
type of the dummy argument to the one of the actual.
2010-08-19 Tobias Burnus <burnus@net-b.de>
PR fortran/36158
PR fortran/33197
* m4/bessel.m4: Implement bessel_jn and bessel_yn.
* gfortran.map: Add the generated bessel_jn_r{4,8,10,16}
and bessel_yn_r{4,8,10,16}.
* Makefile.am: Add bessel.m4.
* Makefile.in: Regenerated.
* generated/bessel_r4.c: Generated.
* generated/bessel_r16.c: Generated.
* generated/bessel_r8.c: Generated.
* generated/bessel_r10.c: Generated.
2010-08-19 Tobias Burnus <burnus@net-b.de>
PR fortran/36158
PR fortran/33197
* gfortran.dg/bessel_6.f90: New.
* gfortran.dg/bessel_7.f90: New.
===================================================================
@@ -330,6 +330,7 @@ add_sym (const char *name, gfc_isym_id i
next_arg->ts.type = type;
next_arg->ts.kind = kind;
next_arg->optional = optional;
+ next_arg->value = 0;
next_arg->intent = intent;
}
}
@@ -1065,6 +1066,30 @@ make_noreturn (void)
next_sym[-1].noreturn = 1;
}
+/* Set the attr.value of the current procedure. */
+
+static void
+set_attr_value (int n, ...)
+{
+ gfc_intrinsic_arg *arg;
+ va_list argp;
+ int i;
+
+ if (sizing != SZ_NOTHING)
+ return;
+
+ va_start (argp, n);
+ arg = next_sym[-1].formal;
+
+ for (i = 0; i < n; i++)
+ {
+ gcc_assert (arg != NULL);
+ arg->value = va_arg (argp, int);
+ arg = arg->next;
+ }
+ va_end (argp);
+}
+
/* Add intrinsic functions. */
@@ -1318,9 +1343,10 @@ add_functions (void)
n, BT_INTEGER, di, REQUIRED, x, BT_REAL, dd, REQUIRED);
add_sym_3 ("bessel_jn", GFC_ISYM_JN2, CLASS_TRANSFORMATIONAL, ACTUAL_NO, BT_REAL, dr, GFC_STD_F2008,
- gfc_check_bessel_n2, gfc_simplify_bessel_jn2, NULL,
+ gfc_check_bessel_n2, gfc_simplify_bessel_jn2, gfc_resolve_bessel_n2,
"n1", BT_INTEGER, di, REQUIRED,"n2", BT_INTEGER, di, REQUIRED,
x, BT_REAL, dr, REQUIRED);
+ set_attr_value (3, true, true, true);
make_generic ("bessel_jn", GFC_ISYM_JN, GFC_STD_F2008);
@@ -1359,9 +1385,10 @@ add_functions (void)
n, BT_INTEGER, di, REQUIRED, x, BT_REAL, dd, REQUIRED);
add_sym_3 ("bessel_yn", GFC_ISYM_YN2, CLASS_TRANSFORMATIONAL, ACTUAL_NO, BT_REAL, dr, GFC_STD_F2008,
- gfc_check_bessel_n2, gfc_simplify_bessel_yn2, NULL,
+ gfc_check_bessel_n2, gfc_simplify_bessel_yn2, gfc_resolve_bessel_n2,
"n1", BT_INTEGER, di, REQUIRED,"n2", BT_INTEGER, di, REQUIRED,
x, BT_REAL, dr, REQUIRED);
+ set_attr_value (3, true, true, true);
make_generic ("bessel_yn", GFC_ISYM_YN, GFC_STD_F2008);
===================================================================
@@ -3015,7 +3015,7 @@ gfc_conv_procedure_call (gfc_se * se, gf
bool f;
f = (fsym != NULL)
&& !(fsym->attr.pointer || fsym->attr.allocatable)
- && fsym->as->type != AS_ASSUMED_SHAPE;
+ && fsym->as && fsym->as->type != AS_ASSUMED_SHAPE;
if (comp)
f = f || !comp->attr.always_explicit;
else
===================================================================
@@ -4108,6 +4108,7 @@ gfc_copy_formal_args_intr (gfc_symbol *d
/* May need to copy more info for the symbol. */
formal_arg->sym->ts = curr_arg->ts;
formal_arg->sym->attr.optional = curr_arg->optional;
+ formal_arg->sym->attr.value = curr_arg->value;
formal_arg->sym->attr.intent = curr_arg->intent;
formal_arg->sym->attr.flavor = FL_VARIABLE;
formal_arg->sym->attr.dummy = 1;
===================================================================
@@ -380,6 +380,7 @@ void gfc_resolve_atan (gfc_expr *, gfc_e
void gfc_resolve_atanh (gfc_expr *, gfc_expr *);
void gfc_resolve_atan2 (gfc_expr *, gfc_expr *, gfc_expr *);
void gfc_resolve_besn (gfc_expr *, gfc_expr *, gfc_expr *);
+void gfc_resolve_bessel_n2 (gfc_expr *, gfc_expr *, gfc_expr *, gfc_expr *a);
void gfc_resolve_btest (gfc_expr *, gfc_expr *, gfc_expr *);
void gfc_resolve_ceiling (gfc_expr *, gfc_expr *, gfc_expr *);
void gfc_resolve_char (gfc_expr *, gfc_expr *, gfc_expr *);
===================================================================
@@ -1540,7 +1540,7 @@ typedef struct gfc_intrinsic_arg
char name[GFC_MAX_SYMBOL_LEN + 1];
gfc_typespec ts;
- int optional;
+ unsigned optional:1, value:1;
ENUM_BITFIELD (sym_intent) intent:2;
gfc_actual_arglist *actual;
===================================================================
@@ -416,6 +416,45 @@ gfc_resolve_besn (gfc_expr *f, gfc_expr
void
+gfc_resolve_bessel_n2 (gfc_expr *f, gfc_expr *n1, gfc_expr *n2, gfc_expr *x)
+{
+ gfc_typespec ts;
+ gfc_clear_ts (&ts);
+
+ f->ts = x->ts;
+ f->rank = 1;
+ if (n1->expr_type == EXPR_CONSTANT && n2->expr_type == EXPR_CONSTANT)
+ {
+ f->shape = gfc_get_shape (1);
+ mpz_init (f->shape[0]);
+ mpz_sub (f->shape[0], n2->value.integer, n1->value.integer);
+ mpz_add_ui (f->shape[0], f->shape[0], 1);
+ }
+
+ if (n1->ts.kind != gfc_c_int_kind)
+ {
+ ts.type = BT_INTEGER;
+ ts.kind = gfc_c_int_kind;
+ gfc_convert_type (n1, &ts, 2);
+ }
+
+ if (n2->ts.kind != gfc_c_int_kind)
+ {
+ ts.type = BT_INTEGER;
+ ts.kind = gfc_c_int_kind;
+ gfc_convert_type (n2, &ts, 2);
+ }
+
+ if (f->value.function.isym->id == GFC_ISYM_JN2)
+ f->value.function.name = gfc_get_string (PREFIX ("bessel_jn_r%d"),
+ f->ts.kind);
+ else
+ f->value.function.name = gfc_get_string (PREFIX ("bessel_yn_r%d"),
+ f->ts.kind);
+}
+
+
+void
gfc_resolve_btest (gfc_expr *f, gfc_expr *i, gfc_expr *pos)
{
f->ts.type = BT_LOGICAL;
@@ -883,6 +922,10 @@ gfc_resolve_extends_type_of (gfc_expr *f
f->ts.type = BT_LOGICAL;
f->ts.kind = 4;
+
+ f->value.function.isym->formal->ts = a->ts;
+ f->value.function.isym->formal->next->ts = mo->ts;
+
/* Call library function. */
f->value.function.name = gfc_get_string (PREFIX ("is_extension_of"));
}
===================================================================
@@ -1562,7 +1562,8 @@ gfc_get_symbol_for_expr (gfc_expr * expr
sym->as->rank = expr->rank;
}
- /* TODO: proper argument lists for external intrinsics. */
+ gfc_copy_formal_args_intr (sym, expr->value.function.isym);
+
return sym;
}
@@ -5389,6 +5390,7 @@ gfc_conv_intrinsic_function (gfc_se * se
case GFC_ISYM_IERRNO:
case GFC_ISYM_IRAND:
case GFC_ISYM_ISATTY:
+ case GFC_ISYM_JN2:
case GFC_ISYM_LINK:
case GFC_ISYM_LSTAT:
case GFC_ISYM_MALLOC:
@@ -5407,6 +5409,7 @@ gfc_conv_intrinsic_function (gfc_se * se
case GFC_ISYM_TIME8:
case GFC_ISYM_UMASK:
case GFC_ISYM_UNLINK:
+ case GFC_ISYM_YN2:
gfc_conv_intrinsic_funcall (se, expr);
break;
@@ -5499,6 +5502,7 @@ gfc_is_intrinsic_libcall (gfc_expr * exp
case GFC_ISYM_ALL:
case GFC_ISYM_ANY:
case GFC_ISYM_COUNT:
+ case GFC_ISYM_JN2:
case GFC_ISYM_MATMUL:
case GFC_ISYM_MAXLOC:
case GFC_ISYM_MAXVAL:
@@ -5509,6 +5513,7 @@ gfc_is_intrinsic_libcall (gfc_expr * exp
case GFC_ISYM_SHAPE:
case GFC_ISYM_SPREAD:
case GFC_ISYM_TRANSPOSE:
+ case GFC_ISYM_YN2:
/* Ignore absent optional parameters. */
return 1;
===================================================================
@@ -1210,11 +1210,7 @@ gfc_simplify_bessel_n2 (gfc_expr *order1
if (x->expr_type != EXPR_CONSTANT || order1->expr_type != EXPR_CONSTANT
|| order2->expr_type != EXPR_CONSTANT)
- {
- gfc_error ("Sorry, non-constant transformational Bessel function at %L"
- " not yet supported", &order2->where);
- return &gfc_bad_expr;
- }
+ return NULL;
n1 = mpz_get_si (order1->value.integer);
n2 = mpz_get_si (order2->value.integer);
@@ -1334,6 +1330,17 @@ gfc_simplify_bessel_n2 (gfc_expr *order1
for (i = 2; i <= n2-n1; i++)
{
e = gfc_get_constant_expr (x->ts.type, x->ts.kind, &x->where);
+
+ /* Special case: For YN, if the previous N gave -INF, set
+ also N+1 to -INF. */
+ if (!jn && !gfc_option.flag_range_check && mpfr_inf_p (last2))
+ {
+ mpfr_set_inf (e->value.real, -1);
+ gfc_constructor_append_expr (&result->value.constructor, e,
+ &x->where);
+ continue;
+ }
+
mpfr_mul_si (e->value.real, x2rev, jn ? (n2-i+1) : (n1+i-1),
GFC_RND_MODE);
mpfr_mul (e->value.real, e->value.real, last2, GFC_RND_MODE);
===================================================================
@@ -0,0 +1,185 @@
+`/* Implementation of the BESSEL_JN and BESSEL_YN transformational
+ function using a recurrence algorithm.
+ Copyright 2010 Free Software Foundation, Inc.
+ Contributed by Tobias Burnus <burnus@net-b.de>
+
+This file is part of the GNU Fortran runtime library (libgfortran).
+
+Libgfortran is free software; you can redistribute it and/or
+modify it under the terms of the GNU General Public
+License as published by the Free Software Foundation; either
+version 3 of the License, or (at your option) any later version.
+
+Libgfortran is distributed in the hope that it will be useful,
+but WITHOUT ANY WARRANTY; without even the implied warranty of
+MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+GNU General Public License for more details.
+
+Under Section 7 of GPL version 3, you are granted additional
+permissions described in the GCC Runtime Library Exception, version
+3.1, as published by the Free Software Foundation.
+
+You should have received a copy of the GNU General Public License and
+a copy of the GCC Runtime Library Exception along with this program;
+see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
+<http://www.gnu.org/licenses/>. */
+
+#include "libgfortran.h"
+#include <stdlib.h>
+#include <assert.h>'
+
+include(iparm.m4)dnl
+include(`mtype.m4')dnl
+
+`#if defined (HAVE_'rtype_name`)
+
+
+
+#if defined (HAVE_JN'Q`)
+extern void bessel_jn_r'rtype_kind` ('rtype` * const restrict ret, int n1,
+ int n2, 'rtype_name` x);
+export_proto(bessel_jn_r'rtype_kind`);
+
+void
+bessel_jn_r'rtype_kind` ('rtype` * const restrict ret, int n1, int n2, 'rtype_name` x)
+{
+ int i;
+ index_type stride;
+
+ 'rtype_name` last1, last2, x2rev;
+
+ stride = GFC_DESCRIPTOR_STRIDE(ret,0);
+
+ if (ret->data == NULL)
+ {
+ size_t size = n2 < n1 ? 0 : n2-n1+1;
+ GFC_DIMENSION_SET(ret->dim[0], 0, size-1, 1);
+ ret->data = internal_malloc_size (sizeof ('rtype_name`) * size);
+ ret->offset = 0;
+ }
+
+ if (unlikely (n2 < n1))
+ return;
+
+ if (unlikely (compile_options.bounds_check)
+ && GFC_DESCRIPTOR_EXTENT(ret,0) != (n2-n1+1))
+ runtime_error("Incorrect extent in return value of BESSEL_JN "
+ "(%ld vs. %ld)", (long int) n2-n1,
+ GFC_DESCRIPTOR_EXTENT(ret,0));
+
+ stride = GFC_DESCRIPTOR_STRIDE(ret,0);
+
+ if (unlikely (x == 0.0'Q`))
+ {
+ ret->data[0] = 1.0;
+ for (i = 1; i <= n2-n1; i++)
+ ret->data[i*stride] = 0.0'Q`;
+ return;
+ }
+
+ ret->data = ret->data;
+ last1 = jn'q` (n2, x);
+ ret->data[(n2-n1)*stride] = last1;
+
+ if (n1 == n2)
+ return;
+
+ last2 = jn'q` (n2 - 1, x);
+ ret->data[(n2-n1-1)*stride] = last2;
+
+ if (n1 + 1 == n2)
+ return;
+
+ x2rev = 2.0'Q`/x;
+
+ for (i = n2-n1-2; i >= 0; i--)
+ {
+ ret->data[i*stride] = x2rev * (i+1+n1) * last2 - last1;
+ last1 = last2;
+ last2 = ret->data[i*stride];
+ }
+}
+
+#endif
+
+#if defined (HAVE_YN'Q`)
+extern void bessel_yn_r'rtype_kind` ('rtype` * const restrict ret,
+ int n1, int n2, 'rtype_name` x);
+export_proto(bessel_yn_r'rtype_kind`);
+
+void
+bessel_yn_r'rtype_kind` ('rtype` * const restrict ret, int n1, int n2,
+ 'rtype_name` x)
+{
+ int i;
+ index_type stride;
+
+ 'rtype_name` last1, last2, x2rev;
+
+ stride = GFC_DESCRIPTOR_STRIDE(ret,0);
+
+ if (ret->data == NULL)
+ {
+ size_t size = n2 < n1 ? 0 : n2-n1+1;
+ GFC_DIMENSION_SET(ret->dim[0], 0, size-1, 1);
+ ret->data = internal_malloc_size (sizeof ('rtype_name`) * size);
+ ret->offset = 0;
+ }
+
+ if (unlikely (n2 < n1))
+ return;
+
+ if (unlikely (compile_options.bounds_check)
+ && GFC_DESCRIPTOR_EXTENT(ret,0) != (n2-n1+1))
+ runtime_error("Incorrect extent in return value of BESSEL_JN "
+ "(%ld vs. %ld)", (long int) n2-n1,
+ GFC_DESCRIPTOR_EXTENT(ret,0));
+
+ stride = GFC_DESCRIPTOR_STRIDE(ret,0);
+
+ if (unlikely (x == 0.0'Q`))
+ {
+ for (i = 0; i <= n2-n1; i++)
+#if defined('rtype_name`_INFINITY)
+ ret->data[i*stride] = -'rtype_name`_INFINITY;
+#else
+ ret->data[i*stride] = -'rtype_name`_HUGE;
+#endif
+ return;
+ }
+
+ ret->data = ret->data;
+ last1 = yn'q` (n1, x);
+ ret->data[0] = last1;
+
+ if (n1 == n2)
+ return;
+
+ last2 = yn'q` (n1 + 1, x);
+ ret->data[1*stride] = last2;
+
+ if (n1 + 1 == n2)
+ return;
+
+ x2rev = 2.0'Q`/x;
+
+ for (i = 2; i <= n1+n2; i++)
+ {
+#if defined('rtype_name`_INFINITY)
+ if (unlikely (last2 == -'rtype_name`_INFINITY))
+ {
+ ret->data[i*stride] = -'rtype_name`_INFINITY;
+ }
+ else
+#endif
+ {
+ ret->data[i*stride] = x2rev * (i-1+n1) * last2 - last1;
+ last1 = last2;
+ last2 = ret->data[i*stride];
+ }
+ }
+}
+#endif
+
+#endif'
+
===================================================================
@@ -143,40 +143,41 @@ am__objects_11 = product_i1.lo product_i
am__objects_12 = sum_i1.lo sum_i2.lo sum_i4.lo sum_i8.lo sum_i16.lo \
sum_r4.lo sum_r8.lo sum_r10.lo sum_r16.lo sum_c4.lo sum_c8.lo \
sum_c10.lo sum_c16.lo
-am__objects_13 = matmul_i1.lo matmul_i2.lo matmul_i4.lo matmul_i8.lo \
+am__objects_13 = bessel_r4.lo bessel_r8.lo bessel_r10.lo bessel_r16.lo
+am__objects_14 = matmul_i1.lo matmul_i2.lo matmul_i4.lo matmul_i8.lo \
matmul_i16.lo matmul_r4.lo matmul_r8.lo matmul_r10.lo \
matmul_r16.lo matmul_c4.lo matmul_c8.lo matmul_c10.lo \
matmul_c16.lo
-am__objects_14 = matmul_l4.lo matmul_l8.lo matmul_l16.lo
-am__objects_15 = transpose_i4.lo transpose_i8.lo transpose_i16.lo \
+am__objects_15 = matmul_l4.lo matmul_l8.lo matmul_l16.lo
+am__objects_16 = transpose_i4.lo transpose_i8.lo transpose_i16.lo \
transpose_r4.lo transpose_r8.lo transpose_r10.lo \
transpose_r16.lo transpose_c4.lo transpose_c8.lo \
transpose_c10.lo transpose_c16.lo
-am__objects_16 = shape_i4.lo shape_i8.lo shape_i16.lo
-am__objects_17 = eoshift1_4.lo eoshift1_8.lo eoshift1_16.lo
-am__objects_18 = eoshift3_4.lo eoshift3_8.lo eoshift3_16.lo
-am__objects_19 = cshift1_4.lo cshift1_8.lo cshift1_16.lo
-am__objects_20 = reshape_i4.lo reshape_i8.lo reshape_i16.lo \
+am__objects_17 = shape_i4.lo shape_i8.lo shape_i16.lo
+am__objects_18 = eoshift1_4.lo eoshift1_8.lo eoshift1_16.lo
+am__objects_19 = eoshift3_4.lo eoshift3_8.lo eoshift3_16.lo
+am__objects_20 = cshift1_4.lo cshift1_8.lo cshift1_16.lo
+am__objects_21 = reshape_i4.lo reshape_i8.lo reshape_i16.lo \
reshape_r4.lo reshape_r8.lo reshape_r10.lo reshape_r16.lo \
reshape_c4.lo reshape_c8.lo reshape_c10.lo reshape_c16.lo
-am__objects_21 = in_pack_i1.lo in_pack_i2.lo in_pack_i4.lo \
+am__objects_22 = in_pack_i1.lo in_pack_i2.lo in_pack_i4.lo \
in_pack_i8.lo in_pack_i16.lo in_pack_r4.lo in_pack_r8.lo \
in_pack_r10.lo in_pack_r16.lo in_pack_c4.lo in_pack_c8.lo \
in_pack_c10.lo in_pack_c16.lo
-am__objects_22 = in_unpack_i1.lo in_unpack_i2.lo in_unpack_i4.lo \
+am__objects_23 = in_unpack_i1.lo in_unpack_i2.lo in_unpack_i4.lo \
in_unpack_i8.lo in_unpack_i16.lo in_unpack_r4.lo \
in_unpack_r8.lo in_unpack_r10.lo in_unpack_r16.lo \
in_unpack_c4.lo in_unpack_c8.lo in_unpack_c10.lo \
in_unpack_c16.lo
-am__objects_23 = exponent_r4.lo exponent_r8.lo exponent_r10.lo \
+am__objects_24 = exponent_r4.lo exponent_r8.lo exponent_r10.lo \
exponent_r16.lo
-am__objects_24 = fraction_r4.lo fraction_r8.lo fraction_r10.lo \
+am__objects_25 = fraction_r4.lo fraction_r8.lo fraction_r10.lo \
fraction_r16.lo
-am__objects_25 = nearest_r4.lo nearest_r8.lo nearest_r10.lo \
+am__objects_26 = nearest_r4.lo nearest_r8.lo nearest_r10.lo \
nearest_r16.lo
-am__objects_26 = set_exponent_r4.lo set_exponent_r8.lo \
+am__objects_27 = set_exponent_r4.lo set_exponent_r8.lo \
set_exponent_r10.lo set_exponent_r16.lo
-am__objects_27 = pow_i4_i4.lo pow_i8_i4.lo pow_i16_i4.lo pow_c4_i4.lo \
+am__objects_28 = pow_i4_i4.lo pow_i8_i4.lo pow_i16_i4.lo pow_c4_i4.lo \
pow_c8_i4.lo pow_c10_i4.lo pow_c16_i4.lo pow_i4_i8.lo \
pow_i8_i8.lo pow_i16_i8.lo pow_r4_i8.lo pow_r8_i8.lo \
pow_r10_i8.lo pow_r16_i8.lo pow_c4_i8.lo pow_c8_i8.lo \
@@ -184,26 +185,26 @@ am__objects_27 = pow_i4_i4.lo pow_i8_i4.
pow_i16_i16.lo pow_r4_i16.lo pow_r8_i16.lo pow_r10_i16.lo \
pow_r16_i16.lo pow_c4_i16.lo pow_c8_i16.lo pow_c10_i16.lo \
pow_c16_i16.lo
-am__objects_28 = rrspacing_r4.lo rrspacing_r8.lo rrspacing_r10.lo \
+am__objects_29 = rrspacing_r4.lo rrspacing_r8.lo rrspacing_r10.lo \
rrspacing_r16.lo
-am__objects_29 = spacing_r4.lo spacing_r8.lo spacing_r10.lo \
+am__objects_30 = spacing_r4.lo spacing_r8.lo spacing_r10.lo \
spacing_r16.lo
-am__objects_30 = pack_i1.lo pack_i2.lo pack_i4.lo pack_i8.lo \
+am__objects_31 = pack_i1.lo pack_i2.lo pack_i4.lo pack_i8.lo \
pack_i16.lo pack_r4.lo pack_r8.lo pack_r10.lo pack_r16.lo \
pack_c4.lo pack_c8.lo pack_c10.lo pack_c16.lo
-am__objects_31 = unpack_i1.lo unpack_i2.lo unpack_i4.lo unpack_i8.lo \
+am__objects_32 = unpack_i1.lo unpack_i2.lo unpack_i4.lo unpack_i8.lo \
unpack_i16.lo unpack_r4.lo unpack_r8.lo unpack_r10.lo \
unpack_r16.lo unpack_c4.lo unpack_c8.lo unpack_c10.lo \
unpack_c16.lo
-am__objects_32 = spread_i1.lo spread_i2.lo spread_i4.lo spread_i8.lo \
+am__objects_33 = spread_i1.lo spread_i2.lo spread_i4.lo spread_i8.lo \
spread_i16.lo spread_r4.lo spread_r8.lo spread_r10.lo \
spread_r16.lo spread_c4.lo spread_c8.lo spread_c10.lo \
spread_c16.lo
-am__objects_33 = cshift0_i1.lo cshift0_i2.lo cshift0_i4.lo \
+am__objects_34 = cshift0_i1.lo cshift0_i2.lo cshift0_i4.lo \
cshift0_i8.lo cshift0_i16.lo cshift0_r4.lo cshift0_r8.lo \
cshift0_r10.lo cshift0_r16.lo cshift0_c4.lo cshift0_c8.lo \
cshift0_c10.lo cshift0_c16.lo
-am__objects_34 = $(am__objects_2) $(am__objects_3) $(am__objects_4) \
+am__objects_35 = $(am__objects_2) $(am__objects_3) $(am__objects_4) \
$(am__objects_5) $(am__objects_6) $(am__objects_7) \
$(am__objects_8) $(am__objects_9) $(am__objects_10) \
$(am__objects_11) $(am__objects_12) $(am__objects_13) \
@@ -213,11 +214,11 @@ am__objects_34 = $(am__objects_2) $(am__
$(am__objects_23) $(am__objects_24) $(am__objects_25) \
$(am__objects_26) $(am__objects_27) $(am__objects_28) \
$(am__objects_29) $(am__objects_30) $(am__objects_31) \
- $(am__objects_32) $(am__objects_33)
-am__objects_35 = close.lo file_pos.lo format.lo inquire.lo \
+ $(am__objects_32) $(am__objects_33) $(am__objects_34)
+am__objects_36 = close.lo file_pos.lo format.lo inquire.lo \
intrinsics.lo list_read.lo lock.lo open.lo read.lo \
size_from_kind.lo transfer.lo unit.lo unix.lo write.lo fbuf.lo
-am__objects_36 = associated.lo abort.lo access.lo args.lo \
+am__objects_37 = associated.lo abort.lo access.lo args.lo \
bit_intrinsics.lo c99_functions.lo chdir.lo chmod.lo clock.lo \
cpu_time.lo cshift0.lo ctime.lo date_and_time.lo dtime.lo \
env.lo eoshift0.lo eoshift2.lo erfc_scaled.lo etime.lo exit.lo \
@@ -232,8 +233,8 @@ am__objects_36 = associated.lo abort.lo
system_clock.lo time.lo transpose_generic.lo umask.lo \
unlink.lo unpack_generic.lo in_pack_generic.lo \
in_unpack_generic.lo
-am__objects_37 =
-am__objects_38 = _abs_c4.lo _abs_c8.lo _abs_c10.lo _abs_c16.lo \
+am__objects_38 =
+am__objects_39 = _abs_c4.lo _abs_c8.lo _abs_c10.lo _abs_c16.lo \
_abs_i4.lo _abs_i8.lo _abs_i16.lo _abs_r4.lo _abs_r8.lo \
_abs_r10.lo _abs_r16.lo _aimag_c4.lo _aimag_c8.lo \
_aimag_c10.lo _aimag_c16.lo _exp_r4.lo _exp_r8.lo _exp_r10.lo \
@@ -257,18 +258,18 @@ am__objects_38 = _abs_c4.lo _abs_c8.lo _
_conjg_c4.lo _conjg_c8.lo _conjg_c10.lo _conjg_c16.lo \
_aint_r4.lo _aint_r8.lo _aint_r10.lo _aint_r16.lo _anint_r4.lo \
_anint_r8.lo _anint_r10.lo _anint_r16.lo
-am__objects_39 = _sign_i4.lo _sign_i8.lo _sign_i16.lo _sign_r4.lo \
+am__objects_40 = _sign_i4.lo _sign_i8.lo _sign_i16.lo _sign_r4.lo \
_sign_r8.lo _sign_r10.lo _sign_r16.lo _dim_i4.lo _dim_i8.lo \
_dim_i16.lo _dim_r4.lo _dim_r8.lo _dim_r10.lo _dim_r16.lo \
_atan2_r4.lo _atan2_r8.lo _atan2_r10.lo _atan2_r16.lo \
_mod_i4.lo _mod_i8.lo _mod_i16.lo _mod_r4.lo _mod_r8.lo \
_mod_r10.lo _mod_r16.lo
-am__objects_40 = misc_specifics.lo
-am__objects_41 = $(am__objects_38) $(am__objects_39) $(am__objects_40) \
+am__objects_41 = misc_specifics.lo
+am__objects_42 = $(am__objects_39) $(am__objects_40) $(am__objects_41) \
dprod_r8.lo f2c_specifics.lo
-am__objects_42 = $(am__objects_1) $(am__objects_34) $(am__objects_35) \
- $(am__objects_36) $(am__objects_37) $(am__objects_41)
-@onestep_FALSE@am_libgfortran_la_OBJECTS = $(am__objects_42)
+am__objects_43 = $(am__objects_1) $(am__objects_35) $(am__objects_36) \
+ $(am__objects_37) $(am__objects_38) $(am__objects_42)
+@onestep_FALSE@am_libgfortran_la_OBJECTS = $(am__objects_43)
@onestep_TRUE@am_libgfortran_la_OBJECTS = libgfortran_c.lo
libgfortran_la_OBJECTS = $(am_libgfortran_la_OBJECTS)
libgfortranbegin_la_LIBADD =
@@ -590,6 +591,12 @@ $(srcdir)/generated/any_l4.c \
$(srcdir)/generated/any_l8.c \
$(srcdir)/generated/any_l16.c
+i_bessel_c = \
+$(srcdir)/generated/bessel_r4.c \
+$(srcdir)/generated/bessel_r8.c \
+$(srcdir)/generated/bessel_r10.c \
+$(srcdir)/generated/bessel_r16.c
+
i_count_c = \
$(srcdir)/generated/count_1_l.c \
$(srcdir)/generated/count_2_l.c \
@@ -997,11 +1004,11 @@ m4_files = m4/iparm.m4 m4/ifunction.m4 m
m4/transpose.m4 m4/eoshift1.m4 m4/eoshift3.m4 m4/exponent.m4 \
m4/fraction.m4 m4/nearest.m4 m4/set_exponent.m4 m4/pow.m4 \
m4/misc_specifics.m4 m4/rrspacing.m4 m4/spacing.m4 m4/pack.m4 \
- m4/unpack.m4 m4/spread.m4
+ m4/unpack.m4 m4/spread.m4 m4/bessel.m4
gfor_built_src = $(i_all_c) $(i_any_c) $(i_count_c) $(i_maxloc0_c) \
$(i_maxloc1_c) $(i_maxval_c) $(i_minloc0_c) $(i_minloc1_c) $(i_minval_c) \
- $(i_product_c) $(i_sum_c) \
+ $(i_product_c) $(i_sum_c) $(i_bessel_c) \
$(i_matmul_c) $(i_matmull_c) $(i_transpose_c) $(i_shape_c) $(i_eoshift1_c) \
$(i_eoshift3_c) $(i_cshift1_c) $(i_reshape_c) $(in_pack_c) $(in_unpack_c) \
$(i_exponent_c) $(i_fraction_c) $(i_nearest_c) $(i_set_exponent_c) \
@@ -1328,6 +1335,10 @@ distclean-compile:
@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/args.Plo@am__quote@
@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/associated.Plo@am__quote@
@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/backtrace.Plo@am__quote@
+@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/bessel_r10.Plo@am__quote@
+@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/bessel_r16.Plo@am__quote@
+@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/bessel_r4.Plo@am__quote@
+@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/bessel_r8.Plo@am__quote@
@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/bit_intrinsics.Plo@am__quote@
@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/bounds.Plo@am__quote@
@AMDEP_TRUE@@am__include@ @am__quote@./$(DEPDIR)/c99_functions.Plo@am__quote@
@@ -3456,6 +3467,34 @@ sum_c16.lo: $(srcdir)/generated/sum_c16.
@AMDEP_TRUE@@am__fastdepCC_FALSE@ DEPDIR=$(DEPDIR) $(CCDEPMODE) $(depcomp) @AMDEPBACKSLASH@
@am__fastdepCC_FALSE@ $(LIBTOOL) --tag=CC $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=compile $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS) -c -o sum_c16.lo `test -f '$(srcdir)/generated/sum_c16.c' || echo '$(srcdir)/'`$(srcdir)/generated/sum_c16.c
+bessel_r4.lo: $(srcdir)/generated/bessel_r4.c
+@am__fastdepCC_TRUE@ $(LIBTOOL) --tag=CC $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=compile $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS) -MT bessel_r4.lo -MD -MP -MF $(DEPDIR)/bessel_r4.Tpo -c -o bessel_r4.lo `test -f '$(srcdir)/generated/bessel_r4.c' || echo '$(srcdir)/'`$(srcdir)/generated/bessel_r4.c
+@am__fastdepCC_TRUE@ $(am__mv) $(DEPDIR)/bessel_r4.Tpo $(DEPDIR)/bessel_r4.Plo
+@AMDEP_TRUE@@am__fastdepCC_FALSE@ source='$(srcdir)/generated/bessel_r4.c' object='bessel_r4.lo' libtool=yes @AMDEPBACKSLASH@
+@AMDEP_TRUE@@am__fastdepCC_FALSE@ DEPDIR=$(DEPDIR) $(CCDEPMODE) $(depcomp) @AMDEPBACKSLASH@
+@am__fastdepCC_FALSE@ $(LIBTOOL) --tag=CC $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=compile $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS) -c -o bessel_r4.lo `test -f '$(srcdir)/generated/bessel_r4.c' || echo '$(srcdir)/'`$(srcdir)/generated/bessel_r4.c
+
+bessel_r8.lo: $(srcdir)/generated/bessel_r8.c
+@am__fastdepCC_TRUE@ $(LIBTOOL) --tag=CC $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=compile $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS) -MT bessel_r8.lo -MD -MP -MF $(DEPDIR)/bessel_r8.Tpo -c -o bessel_r8.lo `test -f '$(srcdir)/generated/bessel_r8.c' || echo '$(srcdir)/'`$(srcdir)/generated/bessel_r8.c
+@am__fastdepCC_TRUE@ $(am__mv) $(DEPDIR)/bessel_r8.Tpo $(DEPDIR)/bessel_r8.Plo
+@AMDEP_TRUE@@am__fastdepCC_FALSE@ source='$(srcdir)/generated/bessel_r8.c' object='bessel_r8.lo' libtool=yes @AMDEPBACKSLASH@
+@AMDEP_TRUE@@am__fastdepCC_FALSE@ DEPDIR=$(DEPDIR) $(CCDEPMODE) $(depcomp) @AMDEPBACKSLASH@
+@am__fastdepCC_FALSE@ $(LIBTOOL) --tag=CC $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=compile $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS) -c -o bessel_r8.lo `test -f '$(srcdir)/generated/bessel_r8.c' || echo '$(srcdir)/'`$(srcdir)/generated/bessel_r8.c
+
+bessel_r10.lo: $(srcdir)/generated/bessel_r10.c
+@am__fastdepCC_TRUE@ $(LIBTOOL) --tag=CC $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=compile $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS) -MT bessel_r10.lo -MD -MP -MF $(DEPDIR)/bessel_r10.Tpo -c -o bessel_r10.lo `test -f '$(srcdir)/generated/bessel_r10.c' || echo '$(srcdir)/'`$(srcdir)/generated/bessel_r10.c
+@am__fastdepCC_TRUE@ $(am__mv) $(DEPDIR)/bessel_r10.Tpo $(DEPDIR)/bessel_r10.Plo
+@AMDEP_TRUE@@am__fastdepCC_FALSE@ source='$(srcdir)/generated/bessel_r10.c' object='bessel_r10.lo' libtool=yes @AMDEPBACKSLASH@
+@AMDEP_TRUE@@am__fastdepCC_FALSE@ DEPDIR=$(DEPDIR) $(CCDEPMODE) $(depcomp) @AMDEPBACKSLASH@
+@am__fastdepCC_FALSE@ $(LIBTOOL) --tag=CC $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=compile $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS) -c -o bessel_r10.lo `test -f '$(srcdir)/generated/bessel_r10.c' || echo '$(srcdir)/'`$(srcdir)/generated/bessel_r10.c
+
+bessel_r16.lo: $(srcdir)/generated/bessel_r16.c
+@am__fastdepCC_TRUE@ $(LIBTOOL) --tag=CC $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=compile $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS) -MT bessel_r16.lo -MD -MP -MF $(DEPDIR)/bessel_r16.Tpo -c -o bessel_r16.lo `test -f '$(srcdir)/generated/bessel_r16.c' || echo '$(srcdir)/'`$(srcdir)/generated/bessel_r16.c
+@am__fastdepCC_TRUE@ $(am__mv) $(DEPDIR)/bessel_r16.Tpo $(DEPDIR)/bessel_r16.Plo
+@AMDEP_TRUE@@am__fastdepCC_FALSE@ source='$(srcdir)/generated/bessel_r16.c' object='bessel_r16.lo' libtool=yes @AMDEPBACKSLASH@
+@AMDEP_TRUE@@am__fastdepCC_FALSE@ DEPDIR=$(DEPDIR) $(CCDEPMODE) $(depcomp) @AMDEPBACKSLASH@
+@am__fastdepCC_FALSE@ $(LIBTOOL) --tag=CC $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=compile $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS) -c -o bessel_r16.lo `test -f '$(srcdir)/generated/bessel_r16.c' || echo '$(srcdir)/'`$(srcdir)/generated/bessel_r16.c
+
matmul_i1.lo: $(srcdir)/generated/matmul_i1.c
@am__fastdepCC_TRUE@ $(LIBTOOL) --tag=CC $(AM_LIBTOOLFLAGS) $(LIBTOOLFLAGS) --mode=compile $(CC) $(DEFS) $(DEFAULT_INCLUDES) $(INCLUDES) $(AM_CPPFLAGS) $(CPPFLAGS) $(AM_CFLAGS) $(CFLAGS) -MT matmul_i1.lo -MD -MP -MF $(DEPDIR)/matmul_i1.Tpo -c -o matmul_i1.lo `test -f '$(srcdir)/generated/matmul_i1.c' || echo '$(srcdir)/'`$(srcdir)/generated/matmul_i1.c
@am__fastdepCC_TRUE@ $(am__mv) $(DEPDIR)/matmul_i1.Tpo $(DEPDIR)/matmul_i1.Plo
@@ -5525,6 +5564,9 @@ fpu-target.h: $(srcdir)/$(FPU_HOST_HEADE
@MAINTAINER_MODE_TRUE@$(i_all_c): m4/all.m4 $(I_M4_DEPS2)
@MAINTAINER_MODE_TRUE@ $(M4) -Dfile=$@ -I$(srcdir)/m4 all.m4 > $@
+@MAINTAINER_MODE_TRUE@$(i_bessel_c): m4/bessel.m4 $(I_M4_DEPS)
+@MAINTAINER_MODE_TRUE@ $(M4) -Dfile=$@ -I$(srcdir)/m4 bessel.m4 > $@
+
@MAINTAINER_MODE_TRUE@$(i_any_c): m4/any.m4 $(I_M4_DEPS2)
@MAINTAINER_MODE_TRUE@ $(M4) -Dfile=$@ -I$(srcdir)/m4 any.m4 > $@
===================================================================
@@ -1107,6 +1107,14 @@ GFORTRAN_1.4 {
global:
_gfortran_error_stop_numeric;
_gfortran_selected_real_kind2008;
+ _gfortran_bessel_jn_r4;
+ _gfortran_bessel_jn_r8;
+ _gfortran_bessel_jn_r10;
+ _gfortran_bessel_jn_r16;
+ _gfortran_bessel_yn_r4;
+ _gfortran_bessel_yn_r8;
+ _gfortran_bessel_yn_r10;
+ _gfortran_bessel_yn_r16;
} GFORTRAN_1.3;
F2C_1.0 {
===================================================================
@@ -0,0 +1,183 @@
+/* Implementation of the BESSEL_JN and BESSEL_YN transformational
+ function using a recurrence algorithm.
+ Copyright 2010 Free Software Foundation, Inc.
+ Contributed by Tobias Burnus <burnus@net-b.de>
+
+This file is part of the GNU Fortran runtime library (libgfortran).
+
+Libgfortran is free software; you can redistribute it and/or
+modify it under the terms of the GNU General Public
+License as published by the Free Software Foundation; either
+version 3 of the License, or (at your option) any later version.
+
+Libgfortran is distributed in the hope that it will be useful,
+but WITHOUT ANY WARRANTY; without even the implied warranty of
+MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+GNU General Public License for more details.
+
+Under Section 7 of GPL version 3, you are granted additional
+permissions described in the GCC Runtime Library Exception, version
+3.1, as published by the Free Software Foundation.
+
+You should have received a copy of the GNU General Public License and
+a copy of the GCC Runtime Library Exception along with this program;
+see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
+<http://www.gnu.org/licenses/>. */
+
+#include "libgfortran.h"
+#include <stdlib.h>
+#include <assert.h>
+
+
+#if defined (HAVE_GFC_REAL_4)
+
+
+
+#if defined (HAVE_JNF)
+extern void bessel_jn_r4 (gfc_array_r4 * const restrict ret, int n1,
+ int n2, GFC_REAL_4 x);
+export_proto(bessel_jn_r4);
+
+void
+bessel_jn_r4 (gfc_array_r4 * const restrict ret, int n1, int n2, GFC_REAL_4 x)
+{
+ int i;
+ index_type stride;
+
+ GFC_REAL_4 last1, last2, x2rev;
+
+ stride = GFC_DESCRIPTOR_STRIDE(ret,0);
+
+ if (ret->data == NULL)
+ {
+ size_t size = n2 < n1 ? 0 : n2-n1+1;
+ GFC_DIMENSION_SET(ret->dim[0], 0, size-1, 1);
+ ret->data = internal_malloc_size (sizeof (GFC_REAL_4) * size);
+ ret->offset = 0;
+ }
+
+ if (unlikely (n2 < n1))
+ return;
+
+ if (unlikely (compile_options.bounds_check)
+ && GFC_DESCRIPTOR_EXTENT(ret,0) != (n2-n1+1))
+ runtime_error("Incorrect extent in return value of BESSEL_JN "
+ "(%ld vs. %ld)", (long int) n2-n1,
+ GFC_DESCRIPTOR_EXTENT(ret,0));
+
+ stride = GFC_DESCRIPTOR_STRIDE(ret,0);
+
+ if (unlikely (x == 0.0F))
+ {
+ ret->data[0] = 1.0;
+ for (i = 1; i <= n2-n1; i++)
+ ret->data[i*stride] = 0.0F;
+ return;
+ }
+
+ ret->data = ret->data;
+ last1 = jnf (n2, x);
+ ret->data[(n2-n1)*stride] = last1;
+
+ if (n1 == n2)
+ return;
+
+ last2 = jnf (n2 - 1, x);
+ ret->data[(n2-n1-1)*stride] = last2;
+
+ if (n1 + 1 == n2)
+ return;
+
+ x2rev = 2.0F/x;
+
+ for (i = n2-n1-2; i >= 0; i--)
+ {
+ ret->data[i*stride] = x2rev * (i+1+n1) * last2 - last1;
+ last1 = last2;
+ last2 = ret->data[i*stride];
+ }
+}
+
+#endif
+
+#if defined (HAVE_YNF)
+extern void bessel_yn_r4 (gfc_array_r4 * const restrict ret,
+ int n1, int n2, GFC_REAL_4 x);
+export_proto(bessel_yn_r4);
+
+void
+bessel_yn_r4 (gfc_array_r4 * const restrict ret, int n1, int n2,
+ GFC_REAL_4 x)
+{
+ int i;
+ index_type stride;
+
+ GFC_REAL_4 last1, last2, x2rev;
+
+ stride = GFC_DESCRIPTOR_STRIDE(ret,0);
+
+ if (ret->data == NULL)
+ {
+ size_t size = n2 < n1 ? 0 : n2-n1+1;
+ GFC_DIMENSION_SET(ret->dim[0], 0, size-1, 1);
+ ret->data = internal_malloc_size (sizeof (GFC_REAL_4) * size);
+ ret->offset = 0;
+ }
+
+ if (unlikely (n2 < n1))
+ return;
+
+ if (unlikely (compile_options.bounds_check)
+ && GFC_DESCRIPTOR_EXTENT(ret,0) != (n2-n1+1))
+ runtime_error("Incorrect extent in return value of BESSEL_JN "
+ "(%ld vs. %ld)", (long int) n2-n1,
+ GFC_DESCRIPTOR_EXTENT(ret,0));
+
+ stride = GFC_DESCRIPTOR_STRIDE(ret,0);
+
+ if (unlikely (x == 0.0F))
+ {
+ for (i = 0; i <= n2-n1; i++)
+#if defined(GFC_REAL_4_INFINITY)
+ ret->data[i*stride] = -GFC_REAL_4_INFINITY;
+#else
+ ret->data[i*stride] = -GFC_REAL_4_HUGE;
+#endif
+ return;
+ }
+
+ ret->data = ret->data;
+ last1 = ynf (n1, x);
+ ret->data[0] = last1;
+
+ if (n1 == n2)
+ return;
+
+ last2 = ynf (n1 + 1, x);
+ ret->data[1*stride] = last2;
+
+ if (n1 + 1 == n2)
+ return;
+
+ x2rev = 2.0F/x;
+
+ for (i = 2; i <= n1+n2; i++)
+ {
+#if defined(GFC_REAL_4_INFINITY)
+ if (unlikely (last2 == -GFC_REAL_4_INFINITY))
+ {
+ ret->data[i*stride] = -GFC_REAL_4_INFINITY;
+ }
+ else
+#endif
+ {
+ ret->data[i*stride] = x2rev * (i-1+n1) * last2 - last1;
+ last1 = last2;
+ last2 = ret->data[i*stride];
+ }
+ }
+}
+#endif
+
+#endif
+
===================================================================
@@ -0,0 +1,183 @@
+/* Implementation of the BESSEL_JN and BESSEL_YN transformational
+ function using a recurrence algorithm.
+ Copyright 2010 Free Software Foundation, Inc.
+ Contributed by Tobias Burnus <burnus@net-b.de>
+
+This file is part of the GNU Fortran runtime library (libgfortran).
+
+Libgfortran is free software; you can redistribute it and/or
+modify it under the terms of the GNU General Public
+License as published by the Free Software Foundation; either
+version 3 of the License, or (at your option) any later version.
+
+Libgfortran is distributed in the hope that it will be useful,
+but WITHOUT ANY WARRANTY; without even the implied warranty of
+MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+GNU General Public License for more details.
+
+Under Section 7 of GPL version 3, you are granted additional
+permissions described in the GCC Runtime Library Exception, version
+3.1, as published by the Free Software Foundation.
+
+You should have received a copy of the GNU General Public License and
+a copy of the GCC Runtime Library Exception along with this program;
+see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
+<http://www.gnu.org/licenses/>. */
+
+#include "libgfortran.h"
+#include <stdlib.h>
+#include <assert.h>
+
+
+#if defined (HAVE_GFC_REAL_16)
+
+
+
+#if defined (HAVE_JNL)
+extern void bessel_jn_r16 (gfc_array_r16 * const restrict ret, int n1,
+ int n2, GFC_REAL_16 x);
+export_proto(bessel_jn_r16);
+
+void
+bessel_jn_r16 (gfc_array_r16 * const restrict ret, int n1, int n2, GFC_REAL_16 x)
+{
+ int i;
+ index_type stride;
+
+ GFC_REAL_16 last1, last2, x2rev;
+
+ stride = GFC_DESCRIPTOR_STRIDE(ret,0);
+
+ if (ret->data == NULL)
+ {
+ size_t size = n2 < n1 ? 0 : n2-n1+1;
+ GFC_DIMENSION_SET(ret->dim[0], 0, size-1, 1);
+ ret->data = internal_malloc_size (sizeof (GFC_REAL_16) * size);
+ ret->offset = 0;
+ }
+
+ if (unlikely (n2 < n1))
+ return;
+
+ if (unlikely (compile_options.bounds_check)
+ && GFC_DESCRIPTOR_EXTENT(ret,0) != (n2-n1+1))
+ runtime_error("Incorrect extent in return value of BESSEL_JN "
+ "(%ld vs. %ld)", (long int) n2-n1,
+ GFC_DESCRIPTOR_EXTENT(ret,0));
+
+ stride = GFC_DESCRIPTOR_STRIDE(ret,0);
+
+ if (unlikely (x == 0.0L))
+ {
+ ret->data[0] = 1.0;
+ for (i = 1; i <= n2-n1; i++)
+ ret->data[i*stride] = 0.0L;
+ return;
+ }
+
+ ret->data = ret->data;
+ last1 = jnl (n2, x);
+ ret->data[(n2-n1)*stride] = last1;
+
+ if (n1 == n2)
+ return;
+
+ last2 = jnl (n2 - 1, x);
+ ret->data[(n2-n1-1)*stride] = last2;
+
+ if (n1 + 1 == n2)
+ return;
+
+ x2rev = 2.0L/x;
+
+ for (i = n2-n1-2; i >= 0; i--)
+ {
+ ret->data[i*stride] = x2rev * (i+1+n1) * last2 - last1;
+ last1 = last2;
+ last2 = ret->data[i*stride];
+ }
+}
+
+#endif
+
+#if defined (HAVE_YNL)
+extern void bessel_yn_r16 (gfc_array_r16 * const restrict ret,
+ int n1, int n2, GFC_REAL_16 x);
+export_proto(bessel_yn_r16);
+
+void
+bessel_yn_r16 (gfc_array_r16 * const restrict ret, int n1, int n2,
+ GFC_REAL_16 x)
+{
+ int i;
+ index_type stride;
+
+ GFC_REAL_16 last1, last2, x2rev;
+
+ stride = GFC_DESCRIPTOR_STRIDE(ret,0);
+
+ if (ret->data == NULL)
+ {
+ size_t size = n2 < n1 ? 0 : n2-n1+1;
+ GFC_DIMENSION_SET(ret->dim[0], 0, size-1, 1);
+ ret->data = internal_malloc_size (sizeof (GFC_REAL_16) * size);
+ ret->offset = 0;
+ }
+
+ if (unlikely (n2 < n1))
+ return;
+
+ if (unlikely (compile_options.bounds_check)
+ && GFC_DESCRIPTOR_EXTENT(ret,0) != (n2-n1+1))
+ runtime_error("Incorrect extent in return value of BESSEL_JN "
+ "(%ld vs. %ld)", (long int) n2-n1,
+ GFC_DESCRIPTOR_EXTENT(ret,0));
+
+ stride = GFC_DESCRIPTOR_STRIDE(ret,0);
+
+ if (unlikely (x == 0.0L))
+ {
+ for (i = 0; i <= n2-n1; i++)
+#if defined(GFC_REAL_16_INFINITY)
+ ret->data[i*stride] = -GFC_REAL_16_INFINITY;
+#else
+ ret->data[i*stride] = -GFC_REAL_16_HUGE;
+#endif
+ return;
+ }
+
+ ret->data = ret->data;
+ last1 = ynl (n1, x);
+ ret->data[0] = last1;
+
+ if (n1 == n2)
+ return;
+
+ last2 = ynl (n1 + 1, x);
+ ret->data[1*stride] = last2;
+
+ if (n1 + 1 == n2)
+ return;
+
+ x2rev = 2.0L/x;
+
+ for (i = 2; i <= n1+n2; i++)
+ {
+#if defined(GFC_REAL_16_INFINITY)
+ if (unlikely (last2 == -GFC_REAL_16_INFINITY))
+ {
+ ret->data[i*stride] = -GFC_REAL_16_INFINITY;
+ }
+ else
+#endif
+ {
+ ret->data[i*stride] = x2rev * (i-1+n1) * last2 - last1;
+ last1 = last2;
+ last2 = ret->data[i*stride];
+ }
+ }
+}
+#endif
+
+#endif
+
===================================================================
@@ -0,0 +1,183 @@
+/* Implementation of the BESSEL_JN and BESSEL_YN transformational
+ function using a recurrence algorithm.
+ Copyright 2010 Free Software Foundation, Inc.
+ Contributed by Tobias Burnus <burnus@net-b.de>
+
+This file is part of the GNU Fortran runtime library (libgfortran).
+
+Libgfortran is free software; you can redistribute it and/or
+modify it under the terms of the GNU General Public
+License as published by the Free Software Foundation; either
+version 3 of the License, or (at your option) any later version.
+
+Libgfortran is distributed in the hope that it will be useful,
+but WITHOUT ANY WARRANTY; without even the implied warranty of
+MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+GNU General Public License for more details.
+
+Under Section 7 of GPL version 3, you are granted additional
+permissions described in the GCC Runtime Library Exception, version
+3.1, as published by the Free Software Foundation.
+
+You should have received a copy of the GNU General Public License and
+a copy of the GCC Runtime Library Exception along with this program;
+see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
+<http://www.gnu.org/licenses/>. */
+
+#include "libgfortran.h"
+#include <stdlib.h>
+#include <assert.h>
+
+
+#if defined (HAVE_GFC_REAL_8)
+
+
+
+#if defined (HAVE_JN)
+extern void bessel_jn_r8 (gfc_array_r8 * const restrict ret, int n1,
+ int n2, GFC_REAL_8 x);
+export_proto(bessel_jn_r8);
+
+void
+bessel_jn_r8 (gfc_array_r8 * const restrict ret, int n1, int n2, GFC_REAL_8 x)
+{
+ int i;
+ index_type stride;
+
+ GFC_REAL_8 last1, last2, x2rev;
+
+ stride = GFC_DESCRIPTOR_STRIDE(ret,0);
+
+ if (ret->data == NULL)
+ {
+ size_t size = n2 < n1 ? 0 : n2-n1+1;
+ GFC_DIMENSION_SET(ret->dim[0], 0, size-1, 1);
+ ret->data = internal_malloc_size (sizeof (GFC_REAL_8) * size);
+ ret->offset = 0;
+ }
+
+ if (unlikely (n2 < n1))
+ return;
+
+ if (unlikely (compile_options.bounds_check)
+ && GFC_DESCRIPTOR_EXTENT(ret,0) != (n2-n1+1))
+ runtime_error("Incorrect extent in return value of BESSEL_JN "
+ "(%ld vs. %ld)", (long int) n2-n1,
+ GFC_DESCRIPTOR_EXTENT(ret,0));
+
+ stride = GFC_DESCRIPTOR_STRIDE(ret,0);
+
+ if (unlikely (x == 0.0))
+ {
+ ret->data[0] = 1.0;
+ for (i = 1; i <= n2-n1; i++)
+ ret->data[i*stride] = 0.0;
+ return;
+ }
+
+ ret->data = ret->data;
+ last1 = jn (n2, x);
+ ret->data[(n2-n1)*stride] = last1;
+
+ if (n1 == n2)
+ return;
+
+ last2 = jn (n2 - 1, x);
+ ret->data[(n2-n1-1)*stride] = last2;
+
+ if (n1 + 1 == n2)
+ return;
+
+ x2rev = 2.0/x;
+
+ for (i = n2-n1-2; i >= 0; i--)
+ {
+ ret->data[i*stride] = x2rev * (i+1+n1) * last2 - last1;
+ last1 = last2;
+ last2 = ret->data[i*stride];
+ }
+}
+
+#endif
+
+#if defined (HAVE_YN)
+extern void bessel_yn_r8 (gfc_array_r8 * const restrict ret,
+ int n1, int n2, GFC_REAL_8 x);
+export_proto(bessel_yn_r8);
+
+void
+bessel_yn_r8 (gfc_array_r8 * const restrict ret, int n1, int n2,
+ GFC_REAL_8 x)
+{
+ int i;
+ index_type stride;
+
+ GFC_REAL_8 last1, last2, x2rev;
+
+ stride = GFC_DESCRIPTOR_STRIDE(ret,0);
+
+ if (ret->data == NULL)
+ {
+ size_t size = n2 < n1 ? 0 : n2-n1+1;
+ GFC_DIMENSION_SET(ret->dim[0], 0, size-1, 1);
+ ret->data = internal_malloc_size (sizeof (GFC_REAL_8) * size);
+ ret->offset = 0;
+ }
+
+ if (unlikely (n2 < n1))
+ return;
+
+ if (unlikely (compile_options.bounds_check)
+ && GFC_DESCRIPTOR_EXTENT(ret,0) != (n2-n1+1))
+ runtime_error("Incorrect extent in return value of BESSEL_JN "
+ "(%ld vs. %ld)", (long int) n2-n1,
+ GFC_DESCRIPTOR_EXTENT(ret,0));
+
+ stride = GFC_DESCRIPTOR_STRIDE(ret,0);
+
+ if (unlikely (x == 0.0))
+ {
+ for (i = 0; i <= n2-n1; i++)
+#if defined(GFC_REAL_8_INFINITY)
+ ret->data[i*stride] = -GFC_REAL_8_INFINITY;
+#else
+ ret->data[i*stride] = -GFC_REAL_8_HUGE;
+#endif
+ return;
+ }
+
+ ret->data = ret->data;
+ last1 = yn (n1, x);
+ ret->data[0] = last1;
+
+ if (n1 == n2)
+ return;
+
+ last2 = yn (n1 + 1, x);
+ ret->data[1*stride] = last2;
+
+ if (n1 + 1 == n2)
+ return;
+
+ x2rev = 2.0/x;
+
+ for (i = 2; i <= n1+n2; i++)
+ {
+#if defined(GFC_REAL_8_INFINITY)
+ if (unlikely (last2 == -GFC_REAL_8_INFINITY))
+ {
+ ret->data[i*stride] = -GFC_REAL_8_INFINITY;
+ }
+ else
+#endif
+ {
+ ret->data[i*stride] = x2rev * (i-1+n1) * last2 - last1;
+ last1 = last2;
+ last2 = ret->data[i*stride];
+ }
+ }
+}
+#endif
+
+#endif
+
===================================================================
@@ -0,0 +1,183 @@
+/* Implementation of the BESSEL_JN and BESSEL_YN transformational
+ function using a recurrence algorithm.
+ Copyright 2010 Free Software Foundation, Inc.
+ Contributed by Tobias Burnus <burnus@net-b.de>
+
+This file is part of the GNU Fortran runtime library (libgfortran).
+
+Libgfortran is free software; you can redistribute it and/or
+modify it under the terms of the GNU General Public
+License as published by the Free Software Foundation; either
+version 3 of the License, or (at your option) any later version.
+
+Libgfortran is distributed in the hope that it will be useful,
+but WITHOUT ANY WARRANTY; without even the implied warranty of
+MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+GNU General Public License for more details.
+
+Under Section 7 of GPL version 3, you are granted additional
+permissions described in the GCC Runtime Library Exception, version
+3.1, as published by the Free Software Foundation.
+
+You should have received a copy of the GNU General Public License and
+a copy of the GCC Runtime Library Exception along with this program;
+see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
+<http://www.gnu.org/licenses/>. */
+
+#include "libgfortran.h"
+#include <stdlib.h>
+#include <assert.h>
+
+
+#if defined (HAVE_GFC_REAL_10)
+
+
+
+#if defined (HAVE_JNL)
+extern void bessel_jn_r10 (gfc_array_r10 * const restrict ret, int n1,
+ int n2, GFC_REAL_10 x);
+export_proto(bessel_jn_r10);
+
+void
+bessel_jn_r10 (gfc_array_r10 * const restrict ret, int n1, int n2, GFC_REAL_10 x)
+{
+ int i;
+ index_type stride;
+
+ GFC_REAL_10 last1, last2, x2rev;
+
+ stride = GFC_DESCRIPTOR_STRIDE(ret,0);
+
+ if (ret->data == NULL)
+ {
+ size_t size = n2 < n1 ? 0 : n2-n1+1;
+ GFC_DIMENSION_SET(ret->dim[0], 0, size-1, 1);
+ ret->data = internal_malloc_size (sizeof (GFC_REAL_10) * size);
+ ret->offset = 0;
+ }
+
+ if (unlikely (n2 < n1))
+ return;
+
+ if (unlikely (compile_options.bounds_check)
+ && GFC_DESCRIPTOR_EXTENT(ret,0) != (n2-n1+1))
+ runtime_error("Incorrect extent in return value of BESSEL_JN "
+ "(%ld vs. %ld)", (long int) n2-n1,
+ GFC_DESCRIPTOR_EXTENT(ret,0));
+
+ stride = GFC_DESCRIPTOR_STRIDE(ret,0);
+
+ if (unlikely (x == 0.0L))
+ {
+ ret->data[0] = 1.0;
+ for (i = 1; i <= n2-n1; i++)
+ ret->data[i*stride] = 0.0L;
+ return;
+ }
+
+ ret->data = ret->data;
+ last1 = jnl (n2, x);
+ ret->data[(n2-n1)*stride] = last1;
+
+ if (n1 == n2)
+ return;
+
+ last2 = jnl (n2 - 1, x);
+ ret->data[(n2-n1-1)*stride] = last2;
+
+ if (n1 + 1 == n2)
+ return;
+
+ x2rev = 2.0L/x;
+
+ for (i = n2-n1-2; i >= 0; i--)
+ {
+ ret->data[i*stride] = x2rev * (i+1+n1) * last2 - last1;
+ last1 = last2;
+ last2 = ret->data[i*stride];
+ }
+}
+
+#endif
+
+#if defined (HAVE_YNL)
+extern void bessel_yn_r10 (gfc_array_r10 * const restrict ret,
+ int n1, int n2, GFC_REAL_10 x);
+export_proto(bessel_yn_r10);
+
+void
+bessel_yn_r10 (gfc_array_r10 * const restrict ret, int n1, int n2,
+ GFC_REAL_10 x)
+{
+ int i;
+ index_type stride;
+
+ GFC_REAL_10 last1, last2, x2rev;
+
+ stride = GFC_DESCRIPTOR_STRIDE(ret,0);
+
+ if (ret->data == NULL)
+ {
+ size_t size = n2 < n1 ? 0 : n2-n1+1;
+ GFC_DIMENSION_SET(ret->dim[0], 0, size-1, 1);
+ ret->data = internal_malloc_size (sizeof (GFC_REAL_10) * size);
+ ret->offset = 0;
+ }
+
+ if (unlikely (n2 < n1))
+ return;
+
+ if (unlikely (compile_options.bounds_check)
+ && GFC_DESCRIPTOR_EXTENT(ret,0) != (n2-n1+1))
+ runtime_error("Incorrect extent in return value of BESSEL_JN "
+ "(%ld vs. %ld)", (long int) n2-n1,
+ GFC_DESCRIPTOR_EXTENT(ret,0));
+
+ stride = GFC_DESCRIPTOR_STRIDE(ret,0);
+
+ if (unlikely (x == 0.0L))
+ {
+ for (i = 0; i <= n2-n1; i++)
+#if defined(GFC_REAL_10_INFINITY)
+ ret->data[i*stride] = -GFC_REAL_10_INFINITY;
+#else
+ ret->data[i*stride] = -GFC_REAL_10_HUGE;
+#endif
+ return;
+ }
+
+ ret->data = ret->data;
+ last1 = ynl (n1, x);
+ ret->data[0] = last1;
+
+ if (n1 == n2)
+ return;
+
+ last2 = ynl (n1 + 1, x);
+ ret->data[1*stride] = last2;
+
+ if (n1 + 1 == n2)
+ return;
+
+ x2rev = 2.0L/x;
+
+ for (i = 2; i <= n1+n2; i++)
+ {
+#if defined(GFC_REAL_10_INFINITY)
+ if (unlikely (last2 == -GFC_REAL_10_INFINITY))
+ {
+ ret->data[i*stride] = -GFC_REAL_10_INFINITY;
+ }
+ else
+#endif
+ {
+ ret->data[i*stride] = x2rev * (i-1+n1) * last2 - last1;
+ last1 = last2;
+ last2 = ret->data[i*stride];
+ }
+ }
+}
+#endif
+
+#endif
+
===================================================================
@@ -175,6 +175,12 @@ $(srcdir)/generated/any_l4.c \
$(srcdir)/generated/any_l8.c \
$(srcdir)/generated/any_l16.c
+i_bessel_c= \
+$(srcdir)/generated/bessel_r4.c \
+$(srcdir)/generated/bessel_r8.c \
+$(srcdir)/generated/bessel_r10.c \
+$(srcdir)/generated/bessel_r16.c
+
i_count_c= \
$(srcdir)/generated/count_1_l.c \
$(srcdir)/generated/count_2_l.c \
@@ -583,11 +589,11 @@ m4_files= m4/iparm.m4 m4/ifunction.m4 m4
m4/transpose.m4 m4/eoshift1.m4 m4/eoshift3.m4 m4/exponent.m4 \
m4/fraction.m4 m4/nearest.m4 m4/set_exponent.m4 m4/pow.m4 \
m4/misc_specifics.m4 m4/rrspacing.m4 m4/spacing.m4 m4/pack.m4 \
- m4/unpack.m4 m4/spread.m4
+ m4/unpack.m4 m4/spread.m4 m4/bessel.m4
gfor_built_src= $(i_all_c) $(i_any_c) $(i_count_c) $(i_maxloc0_c) \
$(i_maxloc1_c) $(i_maxval_c) $(i_minloc0_c) $(i_minloc1_c) $(i_minval_c) \
- $(i_product_c) $(i_sum_c) \
+ $(i_product_c) $(i_sum_c) $(i_bessel_c) \
$(i_matmul_c) $(i_matmull_c) $(i_transpose_c) $(i_shape_c) $(i_eoshift1_c) \
$(i_eoshift3_c) $(i_cshift1_c) $(i_reshape_c) $(in_pack_c) $(in_unpack_c) \
$(i_exponent_c) $(i_fraction_c) $(i_nearest_c) $(i_set_exponent_c) \
@@ -821,6 +827,9 @@ if MAINTAINER_MODE
$(i_all_c): m4/all.m4 $(I_M4_DEPS2)
$(M4) -Dfile=$@ -I$(srcdir)/m4 all.m4 > $@
+$(i_bessel_c): m4/bessel.m4 $(I_M4_DEPS)
+ $(M4) -Dfile=$@ -I$(srcdir)/m4 bessel.m4 > $@
+
$(i_any_c): m4/any.m4 $(I_M4_DEPS2)
$(M4) -Dfile=$@ -I$(srcdir)/m4 any.m4 > $@
===================================================================
@@ -0,0 +1,45 @@
+! { dg-do run }
+!
+! PR fortran/36158
+! PR fortran/33197
+!
+! Run-time tests for transformations BESSEL_JN
+!
+implicit none
+real,parameter :: values(*) = [0.0, 0.5, 1.0, 0.9, 1.8,2.0,3.0,4.0,4.25,8.0,34.53, 475.78]
+real,parameter :: myeps(size(values)) = epsilon(0.0) &
+ * [2, 7, 5, 6, 9, 12, 12, 7, 7, 8, 75, 6 ]
+! The following is sufficient for me - the values above are a bit
+! more tolerant
+! * [0, 5, 3, 4, 6, 7, 7, 5, 5, 6, 66, 4 ]
+integer,parameter :: mymax(size(values)) = &
+ [100, 17, 23, 21, 27, 28, 32, 35, 36, 41, 49, 50 ]
+integer, parameter :: Nmax = 100
+real :: rec(0:Nmax), lib(0:Nmax)
+integer :: i
+
+do i = 1, ubound(values,dim=1)
+ call compare(mymax(i), values(i), myeps(i))
+end do
+
+contains
+
+subroutine compare(mymax, X, myeps)
+
+integer :: i, nit, mymax
+real X, myeps, myeps2
+
+rec(0:mymax) = BESSEL_JN(0, mymax, X)
+lib(0:mymax) = [ (BESSEL_JN(i, X), i=0,mymax) ]
+
+!print *, 'YN for X = ', X, ' -- Epsilon = ',epsilon(x)
+do i = 0, mymax
+! print '(i2,2e17.9,e12.2,f18.10,2l3)', i, rec(i), lib(i), &
+! rec(i)-lib(i), ((rec(i)-lib(i))/rec(i))/epsilon(x), &
+! rec(i) == lib(i) .or. abs((rec(i)-lib(i))/rec(i)) < myeps
+if (.not. (rec(i) == lib(i) .or. abs((rec(i)-lib(i))/rec(i)) < myeps)) &
+ call abort()
+end do
+
+end
+end
===================================================================
@@ -0,0 +1,50 @@
+! { dg-do run }
+!
+! PR fortran/36158
+! PR fortran/33197
+!
+! Run-time tests for transformations BESSEL_YN
+!
+implicit none
+real,parameter :: values(*) = [0.0, 0.5, 1.0, 0.9, 1.8,2.0,3.0,4.0,4.25,8.0,34.53, 475.78]
+real,parameter :: myeps(size(values)) = epsilon(0.0) &
+ * [2, 2, 2, 5, 5, 2, 12, 2, 4, 3, 30, 130 ]
+! The following is sufficient for me - the values above are a bit
+! more tolerant
+! * [0, 0, 0, 3, 3, 0, 9, 0, 2, 1, 22, 130 ]
+integer,parameter :: nit(size(values)) = &
+ [100, 100, 100, 100, 100, 100, 10, 100, 100, 100, 10, 25 ]
+integer, parameter :: Nmax = 100
+real :: rec(0:Nmax), lib(0:Nmax)
+integer :: i
+
+do i = 1, ubound(values,dim=1)
+ call compare(values(i), myeps(i), nit(i), 3*epsilon(0.0))
+end do
+
+contains
+
+subroutine compare(X, myeps, nit, myeps2)
+
+integer :: i, nit
+real X, myeps, myeps2
+
+rec = BESSEL_YN(0, Nmax, X)
+lib = [ (BESSEL_YN(i, X), i=0,Nmax) ]
+
+!print *, 'YN for X = ', X, ' -- Epsilon = ',epsilon(x)
+do i = 0, Nmax
+! print '(i2,2e17.9,e12.2,f14.10,2l3)', i, rec(i), lib(i), &
+! rec(i)-lib(i), ((rec(i)-lib(i))/rec(i))/epsilon(x), &
+! i > nit .or. rec(i) == lib(i) &
+! .or. abs((rec(i)-lib(i))/rec(i)) < myeps2, &
+! rec(i) == lib(i) .or. abs((rec(i)-lib(i))/rec(i)) < myeps
+if (.not. (i > nit .or. rec(i) == lib(i) &
+ .or. abs((rec(i)-lib(i))/rec(i)) < myeps2)) &
+ call abort ()
+if (.not. (rec(i) == lib(i) .or. abs((rec(i)-lib(i))/rec(i)) < myeps)) &
+ call abort ()
+end do
+
+end
+end