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authorDiego Novillo <dnovillo@gcc.gnu.org>2004-05-13 02:41:07 -0400
committerDiego Novillo <dnovillo@gcc.gnu.org>2004-05-13 02:41:07 -0400
commit6de9cd9a886ea695aa892c3c7c07818a7b7e9e6f (patch)
treea2568888a519c077427b133de9ece5879a8484a5 /gcc/fortran/arith.c
parentac1a20aec53364d77f3bdff94a2a0a06840e0fe9 (diff)
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Merge tree-ssa-20020619-branch into mainline.
From-SVN: r81764
Diffstat (limited to 'gcc/fortran/arith.c')
-rw-r--r--gcc/fortran/arith.c2763
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diff --git a/gcc/fortran/arith.c b/gcc/fortran/arith.c
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+/* Compiler arithmetic
+ Copyright (C) 2000, 2001. 2002, 2003 Free Software Foundation, Inc.
+ Contributed by Andy Vaught
+
+This file is part of GNU G95.
+
+GNU G95 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 2, or (at your option)
+any later version.
+
+GNU G95 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.
+
+You should have received a copy of the GNU General Public License
+along with GNU G95; see the file COPYING. If not, write to
+the Free Software Foundation, 59 Temple Place - Suite 330,
+Boston, MA 02111-1307, USA. */
+
+/* Since target arithmetic must be done on the host, there has to
+ be some way of evaluating arithmetic expressions as the host
+ would evaluate them. We use the GNU MP library to do arithmetic,
+ and this file provides the interface. */
+
+#include "config.h"
+
+#include <string.h>
+
+#include "gfortran.h"
+#include "arith.h"
+
+mpf_t pi, half_pi, two_pi, e;
+
+/* The gfc_(integer|real)_kinds[] structures have everything the front
+ end needs to know about integers and real numbers on the target.
+ Other entries of the structure are calculated from these values.
+ The first entry is the default kind, the second entry of the real
+ structure is the default double kind. */
+
+#define MPZ_NULL {{0,0,0}}
+#define MPF_NULL {{0,0,0,0}}
+
+#define DEF_GFC_INTEGER_KIND(KIND,RADIX,DIGITS,BIT_SIZE) \
+ {KIND, RADIX, DIGITS, BIT_SIZE, 0, MPZ_NULL, MPZ_NULL, MPZ_NULL}
+
+#define DEF_GFC_LOGICAL_KIND(KIND,BIT_SIZE) \
+ {KIND, BIT_SIZE}
+
+#define DEF_GFC_REAL_KIND(KIND,RADIX,DIGITS,MIN_EXP, MAX_EXP) \
+ {KIND, RADIX, DIGITS, MIN_EXP, MAX_EXP, \
+ 0, 0, MPF_NULL, MPF_NULL, MPF_NULL}
+
+gfc_integer_info gfc_integer_kinds[] = {
+ DEF_GFC_INTEGER_KIND (4, 2, 31, 32),
+ DEF_GFC_INTEGER_KIND (8, 2, 63, 64),
+ DEF_GFC_INTEGER_KIND (2, 2, 15, 16),
+ DEF_GFC_INTEGER_KIND (1, 2, 7, 8),
+ DEF_GFC_INTEGER_KIND (0, 0, 0, 0)
+};
+
+gfc_logical_info gfc_logical_kinds[] = {
+ DEF_GFC_LOGICAL_KIND (4, 32),
+ DEF_GFC_LOGICAL_KIND (8, 64),
+ DEF_GFC_LOGICAL_KIND (2, 16),
+ DEF_GFC_LOGICAL_KIND (1, 8),
+ DEF_GFC_LOGICAL_KIND (0, 0)
+};
+
+gfc_real_info gfc_real_kinds[] = {
+ DEF_GFC_REAL_KIND (4, 2, 24, -125, 128),
+ DEF_GFC_REAL_KIND (8, 2, 53, -1021, 1024),
+ DEF_GFC_REAL_KIND (0, 0, 0, 0, 0)
+};
+
+
+/* The integer kind to use for array indices. This will be set to the
+ proper value based on target information from the backend. */
+
+int gfc_index_integer_kind;
+
+
+/* Compute the natural log of arg.
+
+ We first get the argument into the range 0.5 to 1.5 by successive
+ multiplications or divisions by e. Then we use the series:
+
+ ln(x) = (x-1) - (x-1)^/2 + (x-1)^3/3 - (x-1)^4/4 + ...
+
+ Because we are expanding in powers of (x-1), and 0.5 < x < 1.5, we
+ have -0.5 < (x-1) < 0.5. Ignoring the harmonic term, this means
+ that each term is at most 1/(2^i), meaning one bit is gained per
+ iteration.
+
+ Not very efficient, but it doesn't have to be. */
+
+void
+natural_logarithm (mpf_t * arg, mpf_t * result)
+{
+ mpf_t x, xp, t, log;
+ int i, p;
+
+ mpf_init_set (x, *arg);
+ mpf_init (t);
+
+ p = 0;
+
+ mpf_set_str (t, "0.5", 10);
+ while (mpf_cmp (x, t) < 0)
+ {
+ mpf_mul (x, x, e);
+ p--;
+ }
+
+ mpf_set_str (t, "1.5", 10);
+ while (mpf_cmp (x, t) > 0)
+ {
+ mpf_div (x, x, e);
+ p++;
+ }
+
+ mpf_sub_ui (x, x, 1);
+ mpf_init_set_ui (log, 0);
+ mpf_init_set_ui (xp, 1);
+
+ for (i = 1; i < GFC_REAL_BITS; i++)
+ {
+ mpf_mul (xp, xp, x);
+ mpf_div_ui (t, xp, i);
+
+ if (i % 2 == 0)
+ mpf_sub (log, log, t);
+ else
+ mpf_add (log, log, t);
+ }
+
+ /* Add in the log (e^p) = p */
+
+ if (p < 0)
+ mpf_sub_ui (log, log, -p);
+ else
+ mpf_add_ui (log, log, p);
+
+ mpf_clear (x);
+ mpf_clear (xp);
+ mpf_clear (t);
+
+ mpf_set (*result, log);
+ mpf_clear (log);
+}
+
+
+/* Calculate the common logarithm of arg. We use the natural
+ logaritm of arg and of 10:
+
+ log10(arg) = log(arg)/log(10) */
+
+void
+common_logarithm (mpf_t * arg, mpf_t * result)
+{
+ mpf_t i10, log10;
+
+ natural_logarithm (arg, result);
+
+ mpf_init_set_ui (i10, 10);
+ mpf_init (log10);
+ natural_logarithm (&i10, &log10);
+
+ mpf_div (*result, *result, log10);
+ mpf_clear (i10);
+ mpf_clear (log10);
+}
+
+/* Calculate exp(arg).
+
+ We use a reduction of the form
+
+ x = Nln2 + r
+
+ Then we obtain exp(r) from the McLaurin series.
+ exp(x) is then recovered from the identity
+
+ exp(x) = 2^N*exp(r). */
+
+void
+exponential (mpf_t * arg, mpf_t * result)
+{
+ mpf_t two, ln2, power, q, r, num, denom, term, x, xp;
+ int i;
+ long n;
+ unsigned long p, mp;
+
+
+ mpf_init_set (x, *arg);
+
+ if (mpf_cmp_ui (x, 0) == 0)
+ {
+ mpf_set_ui (*result, 1);
+ }
+ else if (mpf_cmp_ui (x, 1) == 0)
+ {
+ mpf_set (*result, e);
+ }
+ else
+ {
+ mpf_init_set_ui (two, 2);
+ mpf_init (ln2);
+ mpf_init (q);
+ mpf_init (r);
+ mpf_init (power);
+ mpf_init (term);
+
+ natural_logarithm (&two, &ln2);
+
+ mpf_div (q, x, ln2);
+ mpf_floor (power, q);
+ mpf_mul (q, power, ln2);
+ mpf_sub (r, x, q);
+
+ mpf_init_set_ui (xp, 1);
+ mpf_init_set_ui (num, 1);
+ mpf_init_set_ui (denom, 1);
+
+ for (i = 1; i <= GFC_REAL_BITS + 10; i++)
+ {
+ mpf_mul (num, num, r);
+ mpf_mul_ui (denom, denom, i);
+ mpf_div (term, num, denom);
+ mpf_add (xp, xp, term);
+ }
+
+ /* Reconstruction step */
+ n = (long) mpf_get_d (power);
+
+ if (n > 0)
+ {
+ p = (unsigned int) n;
+ mpf_mul_2exp (*result, xp, p);
+ }
+ else
+ {
+ mp = (unsigned int) (-n);
+ mpf_div_2exp (*result, xp, mp);
+ }
+
+ mpf_clear (two);
+ mpf_clear (ln2);
+ mpf_clear (q);
+ mpf_clear (r);
+ mpf_clear (power);
+ mpf_clear (num);
+ mpf_clear (denom);
+ mpf_clear (term);
+ mpf_clear (xp);
+ }
+
+ mpf_clear (x);
+}
+
+
+/* Calculate sin(arg).
+
+ We use a reduction of the form
+
+ x= N*2pi + r
+
+ Then we obtain sin(r) from the McLaurin series. */
+
+void
+sine (mpf_t * arg, mpf_t * result)
+{
+ mpf_t factor, q, r, num, denom, term, x, xp;
+ int i, sign;
+
+ mpf_init_set (x, *arg);
+
+ /* Special case (we do not treat multiples of pi due to roundoff issues) */
+ if (mpf_cmp_ui (x, 0) == 0)
+ {
+ mpf_set_ui (*result, 0);
+ }
+ else
+ {
+ mpf_init (q);
+ mpf_init (r);
+ mpf_init (factor);
+ mpf_init (term);
+
+ mpf_div (q, x, two_pi);
+ mpf_floor (factor, q);
+ mpf_mul (q, factor, two_pi);
+ mpf_sub (r, x, q);
+
+ mpf_init_set_ui (xp, 0);
+ mpf_init_set_ui (num, 1);
+ mpf_init_set_ui (denom, 1);
+
+ sign = -1;
+ for (i = 1; i < GFC_REAL_BITS + 10; i++)
+ {
+ mpf_mul (num, num, r);
+ mpf_mul_ui (denom, denom, i);
+ if (i % 2 == 0)
+ continue;
+
+ sign = -sign;
+ mpf_div (term, num, denom);
+ if (sign > 0)
+ mpf_add (xp, xp, term);
+ else
+ mpf_sub (xp, xp, term);
+ }
+
+ mpf_set (*result, xp);
+
+ mpf_clear (q);
+ mpf_clear (r);
+ mpf_clear (factor);
+ mpf_clear (num);
+ mpf_clear (denom);
+ mpf_clear (term);
+ mpf_clear (xp);
+ }
+
+ mpf_clear (x);
+}
+
+
+/* Calculate cos(arg).
+
+ Similar to sine. */
+
+void
+cosine (mpf_t * arg, mpf_t * result)
+{
+ mpf_t factor, q, r, num, denom, term, x, xp;
+ int i, sign;
+
+ mpf_init_set (x, *arg);
+
+ /* Special case (we do not treat multiples of pi due to roundoff issues) */
+ if (mpf_cmp_ui (x, 0) == 0)
+ {
+ mpf_set_ui (*result, 1);
+ }
+ else
+ {
+ mpf_init (q);
+ mpf_init (r);
+ mpf_init (factor);
+ mpf_init (term);
+
+ mpf_div (q, x, two_pi);
+ mpf_floor (factor, q);
+ mpf_mul (q, factor, two_pi);
+ mpf_sub (r, x, q);
+
+ mpf_init_set_ui (xp, 1);
+ mpf_init_set_ui (num, 1);
+ mpf_init_set_ui (denom, 1);
+
+ sign = 1;
+ for (i = 1; i < GFC_REAL_BITS + 10; i++)
+ {
+ mpf_mul (num, num, r);
+ mpf_mul_ui (denom, denom, i);
+ if (i % 2 != 0)
+ continue;
+
+ sign = -sign;
+ mpf_div (term, num, denom);
+ if (sign > 0)
+ mpf_add (xp, xp, term);
+ else
+ mpf_sub (xp, xp, term);
+ }
+ mpf_set (*result, xp);
+
+ mpf_clear (q);
+ mpf_clear (r);
+ mpf_clear (factor);
+ mpf_clear (num);
+ mpf_clear (denom);
+ mpf_clear (term);
+ mpf_clear (xp);
+ }
+
+ mpf_clear (x);
+}
+
+
+/* Calculate atan(arg).
+
+ Similar to sine but requires special handling for x near 1. */
+
+void
+arctangent (mpf_t * arg, mpf_t * result)
+{
+ mpf_t absval, convgu, convgl, num, term, x, xp;
+ int i, sign;
+
+ mpf_init_set (x, *arg);
+
+ /* Special cases */
+ if (mpf_cmp_ui (x, 0) == 0)
+ {
+ mpf_set_ui (*result, 0);
+ }
+ else if (mpf_cmp_ui (x, 1) == 0)
+ {
+ mpf_init (num);
+ mpf_div_ui (num, half_pi, 2);
+ mpf_set (*result, num);
+ mpf_clear (num);
+ }
+ else if (mpf_cmp_si (x, -1) == 0)
+ {
+ mpf_init (num);
+ mpf_div_ui (num, half_pi, 2);
+ mpf_neg (*result, num);
+ mpf_clear (num);
+ }
+ else
+ { /* General cases */
+
+ mpf_init (absval);
+ mpf_abs (absval, x);
+
+ mpf_init_set_d (convgu, 1.5);
+ mpf_init_set_d (convgl, 0.5);
+ mpf_init_set_ui (num, 1);
+ mpf_init (term);
+
+ if (mpf_cmp (absval, convgl) < 0)
+ {
+ mpf_init_set_ui (xp, 0);
+ sign = -1;
+ for (i = 1; i < GFC_REAL_BITS + 10; i++)
+ {
+ mpf_mul (num, num, absval);
+ if (i % 2 == 0)
+ continue;
+
+ sign = -sign;
+ mpf_div_ui (term, num, i);
+ if (sign > 0)
+ mpf_add (xp, xp, term);
+ else
+ mpf_sub (xp, xp, term);
+ }
+ }
+ else if (mpf_cmp (absval, convgu) >= 0)
+ {
+ mpf_init_set (xp, half_pi);
+ sign = 1;
+ for (i = 1; i < GFC_REAL_BITS + 10; i++)
+ {
+ mpf_div (num, num, absval);
+ if (i % 2 == 0)
+ continue;
+
+ sign = -sign;
+ mpf_div_ui (term, num, i);
+ if (sign > 0)
+ mpf_add (xp, xp, term);
+ else
+ mpf_sub (xp, xp, term);
+ }
+ }
+ else
+ {
+ mpf_init_set_ui (xp, 0);
+
+ mpf_sub_ui (num, absval, 1);
+ mpf_add_ui (term, absval, 1);
+ mpf_div (absval, num, term);
+
+ mpf_set_ui (num, 1);
+
+ sign = -1;
+ for (i = 1; i < GFC_REAL_BITS + 10; i++)
+ {
+ mpf_mul (num, num, absval);
+ if (i % 2 == 0)
+ continue;
+ sign = -sign;
+ mpf_div_ui (term, num, i);
+ if (sign > 0)
+ mpf_add (xp, xp, term);
+ else
+ mpf_sub (xp, xp, term);
+ }
+
+ mpf_div_ui (term, half_pi, 2);
+ mpf_add (xp, term, xp);
+ }
+
+ /* This makes sure to preserve the identity arctan(-x) = -arctan(x)
+ and improves accuracy to boot. */
+
+ if (mpf_cmp_ui (x, 0) > 0)
+ mpf_set (*result, xp);
+ else
+ mpf_neg (*result, xp);
+
+ mpf_clear (absval);
+ mpf_clear (convgl);
+ mpf_clear (convgu);
+ mpf_clear (num);
+ mpf_clear (term);
+ mpf_clear (xp);
+ }
+ mpf_clear (x);
+}
+
+
+/* Calculate atan2 (y, x)
+
+atan2(y, x) = atan(y/x) if x > 0,
+ sign(y)*(pi - atan(|y/x|)) if x < 0,
+ 0 if x = 0 && y == 0,
+ sign(y)*pi/2 if x = 0 && y != 0.
+*/
+
+void
+arctangent2 (mpf_t * y, mpf_t * x, mpf_t * result)
+{
+ mpf_t t;
+
+ mpf_init (t);
+
+ switch (mpf_sgn (*x))
+ {
+ case 1:
+ mpf_div (t, *y, *x);
+ arctangent (&t, result);
+ break;
+ case -1:
+ mpf_div (t, *y, *x);
+ mpf_abs (t, t);
+ arctangent (&t, &t);
+ mpf_sub (*result, pi, t);
+ if (mpf_sgn (*y) == -1)
+ mpf_neg (*result, *result);
+ break;
+ case 0:
+ if (mpf_sgn (*y) == 0)
+ mpf_set_ui (*result, 0);
+ else
+ {
+ mpf_set (*result, half_pi);
+ if (mpf_sgn (*y) == -1)
+ mpf_neg (*result, *result);
+ }
+ break;
+ }
+ mpf_clear (t);
+}
+
+/* Calculate cosh(arg). */
+
+void
+hypercos (mpf_t * arg, mpf_t * result)
+{
+ mpf_t neg, term1, term2, x, xp;
+
+ mpf_init_set (x, *arg);
+
+ mpf_init (neg);
+ mpf_init (term1);
+ mpf_init (term2);
+ mpf_init (xp);
+
+ mpf_neg (neg, x);
+
+ exponential (&x, &term1);
+ exponential (&neg, &term2);
+
+ mpf_add (xp, term1, term2);
+ mpf_div_ui (*result, xp, 2);
+
+ mpf_clear (neg);
+ mpf_clear (term1);
+ mpf_clear (term2);
+ mpf_clear (x);
+ mpf_clear (xp);
+}
+
+
+/* Calculate sinh(arg). */
+
+void
+hypersine (mpf_t * arg, mpf_t * result)
+{
+ mpf_t neg, term1, term2, x, xp;
+
+ mpf_init_set (x, *arg);
+
+ mpf_init (neg);
+ mpf_init (term1);
+ mpf_init (term2);
+ mpf_init (xp);
+
+ mpf_neg (neg, x);
+
+ exponential (&x, &term1);
+ exponential (&neg, &term2);
+
+ mpf_sub (xp, term1, term2);
+ mpf_div_ui (*result, xp, 2);
+
+ mpf_clear (neg);
+ mpf_clear (term1);
+ mpf_clear (term2);
+ mpf_clear (x);
+ mpf_clear (xp);
+}
+
+
+/* Given an arithmetic error code, return a pointer to a string that
+ explains the error. */
+
+static const char *
+gfc_arith_error (arith code)
+{
+ const char *p;
+
+ switch (code)
+ {
+ case ARITH_OK:
+ p = "Arithmetic OK";
+ break;
+ case ARITH_OVERFLOW:
+ p = "Arithmetic overflow";
+ break;
+ case ARITH_UNDERFLOW:
+ p = "Arithmetic underflow";
+ break;
+ case ARITH_DIV0:
+ p = "Division by zero";
+ break;
+ case ARITH_0TO0:
+ p = "Indeterminate form 0 ** 0";
+ break;
+ case ARITH_INCOMMENSURATE:
+ p = "Array operands are incommensurate";
+ break;
+ default:
+ gfc_internal_error ("gfc_arith_error(): Bad error code");
+ }
+
+ return p;
+}
+
+
+/* Get things ready to do math. */
+
+void
+gfc_arith_init_1 (void)
+{
+ gfc_integer_info *int_info;
+ gfc_real_info *real_info;
+ mpf_t a, b;
+ mpz_t r;
+ int i, n, limit;
+
+ /* Set the default precision for GMP computations. */
+ mpf_set_default_prec (GFC_REAL_BITS + 30);
+
+ /* Calculate e, needed by the natural_logarithm() subroutine. */
+ mpf_init (b);
+ mpf_init_set_ui (e, 0);
+ mpf_init_set_ui (a, 1);
+
+ for (i = 1; i < 100; i++)
+ {
+ mpf_add (e, e, a);
+ mpf_div_ui (a, a, i); /* 1/(i!) */
+ }
+
+ /* Calculate pi, 2pi, pi/2, and -pi/2, needed for trigonometric
+ functions.
+
+ We use the Bailey, Borwein and Plouffe formula:
+
+ pi = \sum{n=0}^\infty (1/16)^n [4/(8n+1) - 2/(8n+4) - 1/(8n+5) - 1/(8n+6)]
+
+ which gives about four bits per iteration. */
+
+ mpf_init_set_ui (pi, 0);
+
+ mpf_init (two_pi);
+ mpf_init (half_pi);
+
+ limit = (GFC_REAL_BITS / 4) + 10; /* (1/16)^n gives 4 bits per iteration */
+
+ for (n = 0; n < limit; n++)
+ {
+ mpf_set_ui (b, 4);
+ mpf_div_ui (b, b, 8 * n + 1); /* 4/(8n+1) */
+
+ mpf_set_ui (a, 2);
+ mpf_div_ui (a, a, 8 * n + 4); /* 2/(8n+4) */
+ mpf_sub (b, b, a);
+
+ mpf_set_ui (a, 1);
+ mpf_div_ui (a, a, 8 * n + 5); /* 1/(8n+5) */
+ mpf_sub (b, b, a);
+
+ mpf_set_ui (a, 1);
+ mpf_div_ui (a, a, 8 * n + 6); /* 1/(8n+6) */
+ mpf_sub (b, b, a);
+
+ mpf_set_ui (a, 16);
+ mpf_pow_ui (a, a, n); /* 16^n */
+
+ mpf_div (b, b, a);
+
+ mpf_add (pi, pi, b);
+ }
+
+ mpf_mul_ui (two_pi, pi, 2);
+ mpf_div_ui (half_pi, pi, 2);
+
+ /* Convert the minimum/maximum values for each kind into their
+ GNU MP representation. */
+ mpz_init (r);
+
+ for (int_info = gfc_integer_kinds; int_info->kind != 0; int_info++)
+ {
+ /* Huge */
+ mpz_set_ui (r, int_info->radix);
+ mpz_pow_ui (r, r, int_info->digits);
+
+ mpz_init (int_info->huge);
+ mpz_sub_ui (int_info->huge, r, 1);
+
+ /* These are the numbers that are actually representable by the
+ target. For bases other than two, this needs to be changed. */
+ if (int_info->radix != 2)
+ gfc_internal_error ("Fix min_int, max_int calculation");
+
+ mpz_init (int_info->min_int);
+ mpz_neg (int_info->min_int, int_info->huge);
+ /* No -1 here, because the representation is symmetric. */
+
+ mpz_init (int_info->max_int);
+ mpz_add (int_info->max_int, int_info->huge, int_info->huge);
+ mpz_add_ui (int_info->max_int, int_info->max_int, 1);
+
+ /* Range */
+ mpf_set_z (a, int_info->huge);
+ common_logarithm (&a, &a);
+ mpf_trunc (a, a);
+ mpz_set_f (r, a);
+ int_info->range = mpz_get_si (r);
+ }
+
+ /* mpf_set_default_prec(GFC_REAL_BITS); */
+ for (real_info = gfc_real_kinds; real_info->kind != 0; real_info++)
+ {
+ /* Huge */
+ mpf_set_ui (a, real_info->radix);
+ mpf_set_ui (b, real_info->radix);
+
+ mpf_pow_ui (a, a, real_info->max_exponent);
+ mpf_pow_ui (b, b, real_info->max_exponent - real_info->digits);
+
+ mpf_init (real_info->huge);
+ mpf_sub (real_info->huge, a, b);
+
+ /* Tiny */
+ mpf_set_ui (b, real_info->radix);
+ mpf_pow_ui (b, b, 1 - real_info->min_exponent);
+
+ mpf_init (real_info->tiny);
+ mpf_ui_div (real_info->tiny, 1, b);
+
+ /* Epsilon */
+ mpf_set_ui (b, real_info->radix);
+ mpf_pow_ui (b, b, real_info->digits - 1);
+
+ mpf_init (real_info->epsilon);
+ mpf_ui_div (real_info->epsilon, 1, b);
+
+ /* Range */
+ common_logarithm (&real_info->huge, &a);
+ common_logarithm (&real_info->tiny, &b);
+ mpf_neg (b, b);
+
+ if (mpf_cmp (a, b) > 0)
+ mpf_set (a, b); /* a = min(a, b) */
+
+ mpf_trunc (a, a);
+ mpz_set_f (r, a);
+ real_info->range = mpz_get_si (r);
+
+ /* Precision */
+ mpf_set_ui (a, real_info->radix);
+ common_logarithm (&a, &a);
+
+ mpf_mul_ui (a, a, real_info->digits - 1);
+ mpf_trunc (a, a);
+ mpz_set_f (r, a);
+ real_info->precision = mpz_get_si (r);
+
+ /* If the radix is an integral power of 10, add one to the
+ precision. */
+ for (i = 10; i <= real_info->radix; i *= 10)
+ if (i == real_info->radix)
+ real_info->precision++;
+ }
+
+ mpz_clear (r);
+ mpf_clear (a);
+ mpf_clear (b);
+}
+
+
+/* Clean up, get rid of numeric constants. */
+
+void
+gfc_arith_done_1 (void)
+{
+ gfc_integer_info *ip;
+ gfc_real_info *rp;
+
+ mpf_clear (e);
+
+ mpf_clear (pi);
+ mpf_clear (half_pi);
+ mpf_clear (two_pi);
+
+ for (ip = gfc_integer_kinds; ip->kind; ip++)
+ {
+ mpz_clear (ip->min_int);
+ mpz_clear (ip->max_int);
+ mpz_clear (ip->huge);
+ }
+
+ for (rp = gfc_real_kinds; rp->kind; rp++)
+ {
+ mpf_clear (rp->epsilon);
+ mpf_clear (rp->huge);
+ mpf_clear (rp->tiny);
+ }
+}
+
+
+/* Return default kinds. */
+
+int
+gfc_default_integer_kind (void)
+{
+ return gfc_integer_kinds[gfc_option.i8 ? 1 : 0].kind;
+}
+
+int
+gfc_default_real_kind (void)
+{
+ return gfc_real_kinds[gfc_option.r8 ? 1 : 0].kind;
+}
+
+int
+gfc_default_double_kind (void)
+{
+ return gfc_real_kinds[1].kind;
+}
+
+int
+gfc_default_character_kind (void)
+{
+ return 1;
+}
+
+int
+gfc_default_logical_kind (void)
+{
+ return gfc_logical_kinds[gfc_option.i8 ? 1 : 0].kind;
+}
+
+int
+gfc_default_complex_kind (void)
+{
+ return gfc_default_real_kind ();
+}
+
+
+/* Make sure that a valid kind is present. Returns an index into the
+ gfc_integer_kinds array, -1 if the kind is not present. */
+
+static int
+validate_integer (int kind)
+{
+ int i;
+
+ for (i = 0;; i++)
+ {
+ if (gfc_integer_kinds[i].kind == 0)
+ {
+ i = -1;
+ break;
+ }
+ if (gfc_integer_kinds[i].kind == kind)
+ break;
+ }
+
+ return i;
+}
+
+
+static int
+validate_real (int kind)
+{
+ int i;
+
+ for (i = 0;; i++)
+ {
+ if (gfc_real_kinds[i].kind == 0)
+ {
+ i = -1;
+ break;
+ }
+ if (gfc_real_kinds[i].kind == kind)
+ break;
+ }
+
+ return i;
+}
+
+
+static int
+validate_logical (int kind)
+{
+ int i;
+
+ for (i = 0;; i++)
+ {
+ if (gfc_logical_kinds[i].kind == 0)
+ {
+ i = -1;
+ break;
+ }
+ if (gfc_logical_kinds[i].kind == kind)
+ break;
+ }
+
+ return i;
+}
+
+
+static int
+validate_character (int kind)
+{
+
+ if (kind == gfc_default_character_kind ())
+ return 0;
+ return -1;
+}
+
+
+/* Validate a kind given a basic type. The return value is the same
+ for the child functions, with -1 indicating nonexistence of the
+ type. */
+
+int
+gfc_validate_kind (bt type, int kind)
+{
+ int rc;
+
+ switch (type)
+ {
+ case BT_REAL: /* Fall through */
+ case BT_COMPLEX:
+ rc = validate_real (kind);
+ break;
+ case BT_INTEGER:
+ rc = validate_integer (kind);
+ break;
+ case BT_LOGICAL:
+ rc = validate_logical (kind);
+ break;
+ case BT_CHARACTER:
+ rc = validate_character (kind);
+ break;
+
+ default:
+ gfc_internal_error ("gfc_validate_kind(): Got bad type");
+ }
+
+ return rc;
+}
+
+
+/* Given an integer and a kind, make sure that the integer lies within
+ the range of the kind. Returns ARITH_OK or ARITH_OVERFLOW. */
+
+static arith
+gfc_check_integer_range (mpz_t p, int kind)
+{
+ arith result;
+ int i;
+
+ i = validate_integer (kind);
+ if (i == -1)
+ gfc_internal_error ("gfc_check_integer_range(): Bad kind");
+
+ result = ARITH_OK;
+
+ if (mpz_cmp (p, gfc_integer_kinds[i].min_int) < 0
+ || mpz_cmp (p, gfc_integer_kinds[i].max_int) > 0)
+ result = ARITH_OVERFLOW;
+
+ return result;
+}
+
+
+/* Given a real and a kind, make sure that the real lies within the
+ range of the kind. Returns ARITH_OK, ARITH_OVERFLOW or
+ ARITH_UNDERFLOW. */
+
+static arith
+gfc_check_real_range (mpf_t p, int kind)
+{
+ arith retval;
+ mpf_t q;
+ int i;
+
+ mpf_init (q);
+ mpf_abs (q, p);
+
+ i = validate_real (kind);
+ if (i == -1)
+ gfc_internal_error ("gfc_check_real_range(): Bad kind");
+
+ retval = ARITH_OK;
+ if (mpf_sgn (q) == 0)
+ goto done;
+
+ if (mpf_cmp (q, gfc_real_kinds[i].huge) == 1)
+ {
+ retval = ARITH_OVERFLOW;
+ goto done;
+ }
+
+ if (mpf_cmp (q, gfc_real_kinds[i].tiny) == -1)
+ retval = ARITH_UNDERFLOW;
+
+done:
+ mpf_clear (q);
+
+ return retval;
+}
+
+
+/* Function to return a constant expression node of a given type and
+ kind. */
+
+gfc_expr *
+gfc_constant_result (bt type, int kind, locus * where)
+{
+ gfc_expr *result;
+
+ if (!where)
+ gfc_internal_error
+ ("gfc_constant_result(): locus 'where' cannot be NULL");
+
+ result = gfc_get_expr ();
+
+ result->expr_type = EXPR_CONSTANT;
+ result->ts.type = type;
+ result->ts.kind = kind;
+ result->where = *where;
+
+ switch (type)
+ {
+ case BT_INTEGER:
+ mpz_init (result->value.integer);
+ break;
+
+ case BT_REAL:
+ mpf_init (result->value.real);
+ break;
+
+ case BT_COMPLEX:
+ mpf_init (result->value.complex.r);
+ mpf_init (result->value.complex.i);
+ break;
+
+ default:
+ break;
+ }
+
+ return result;
+}
+
+
+/* Low-level arithmetic functions. All of these subroutines assume
+ that all operands are of the same type and return an operand of the
+ same type. The other thing about these subroutines is that they
+ can fail in various ways -- overflow, underflow, division by zero,
+ zero raised to the zero, etc. */
+
+static arith
+gfc_arith_not (gfc_expr * op1, gfc_expr ** resultp)
+{
+ gfc_expr *result;
+
+ result = gfc_constant_result (BT_LOGICAL, op1->ts.kind, &op1->where);
+ result->value.logical = !op1->value.logical;
+ *resultp = result;
+
+ return ARITH_OK;
+}
+
+
+static arith
+gfc_arith_and (gfc_expr * op1, gfc_expr * op2, gfc_expr ** resultp)
+{
+ gfc_expr *result;
+
+ result = gfc_constant_result (BT_LOGICAL, gfc_kind_max (op1, op2),
+ &op1->where);
+ result->value.logical = op1->value.logical && op2->value.logical;
+ *resultp = result;
+
+ return ARITH_OK;
+}
+
+
+static arith
+gfc_arith_or (gfc_expr * op1, gfc_expr * op2, gfc_expr ** resultp)
+{
+ gfc_expr *result;
+
+ result = gfc_constant_result (BT_LOGICAL, gfc_kind_max (op1, op2),
+ &op1->where);
+ result->value.logical = op1->value.logical || op2->value.logical;
+ *resultp = result;
+
+ return ARITH_OK;
+}
+
+
+static arith
+gfc_arith_eqv (gfc_expr * op1, gfc_expr * op2, gfc_expr ** resultp)
+{
+ gfc_expr *result;
+
+ result = gfc_constant_result (BT_LOGICAL, gfc_kind_max (op1, op2),
+ &op1->where);
+ result->value.logical = op1->value.logical == op2->value.logical;
+ *resultp = result;
+
+ return ARITH_OK;
+}
+
+
+static arith
+gfc_arith_neqv (gfc_expr * op1, gfc_expr * op2, gfc_expr ** resultp)
+{
+ gfc_expr *result;
+
+ result = gfc_constant_result (BT_LOGICAL, gfc_kind_max (op1, op2),
+ &op1->where);
+ result->value.logical = op1->value.logical != op2->value.logical;
+ *resultp = result;
+
+ return ARITH_OK;
+}
+
+
+/* Make sure a constant numeric expression is within the range for
+ it's type and kind. Note that there's also a gfc_check_range(),
+ but that one deals with the intrinsic RANGE function. */
+
+arith
+gfc_range_check (gfc_expr * e)
+{
+ arith rc;
+
+ switch (e->ts.type)
+ {
+ case BT_INTEGER:
+ rc = gfc_check_integer_range (e->value.integer, e->ts.kind);
+ break;
+
+ case BT_REAL:
+ rc = gfc_check_real_range (e->value.real, e->ts.kind);
+ break;
+
+ case BT_COMPLEX:
+ rc = gfc_check_real_range (e->value.complex.r, e->ts.kind);
+ if (rc != ARITH_OK)
+ rc = gfc_check_real_range (e->value.complex.i, e->ts.kind);
+
+ break;
+
+ default:
+ gfc_internal_error ("gfc_range_check(): Bad type");
+ }
+
+ return rc;
+}
+
+
+/* It may seem silly to have a subroutine that actually computes the
+ unary plus of a constant, but it prevents us from making exceptions
+ in the code elsewhere. */
+
+static arith
+gfc_arith_uplus (gfc_expr * op1, gfc_expr ** resultp)
+{
+
+ *resultp = gfc_copy_expr (op1);
+ return ARITH_OK;
+}
+
+
+static arith
+gfc_arith_uminus (gfc_expr * op1, gfc_expr ** resultp)
+{
+ gfc_expr *result;
+ arith rc;
+
+ result = gfc_constant_result (op1->ts.type, op1->ts.kind, &op1->where);
+
+ switch (op1->ts.type)
+ {
+ case BT_INTEGER:
+ mpz_neg (result->value.integer, op1->value.integer);
+ break;
+
+ case BT_REAL:
+ mpf_neg (result->value.real, op1->value.real);
+ break;
+
+ case BT_COMPLEX:
+ mpf_neg (result->value.complex.r, op1->value.complex.r);
+ mpf_neg (result->value.complex.i, op1->value.complex.i);
+ break;
+
+ default:
+ gfc_internal_error ("gfc_arith_uminus(): Bad basic type");
+ }
+
+ rc = gfc_range_check (result);
+
+ if (rc != ARITH_OK)
+ gfc_free_expr (result);
+ else
+ *resultp = result;
+
+ return rc;
+}
+
+
+static arith
+gfc_arith_plus (gfc_expr * op1, gfc_expr * op2, gfc_expr ** resultp)
+{
+ gfc_expr *result;
+ arith rc;
+
+ result = gfc_constant_result (op1->ts.type, op1->ts.kind, &op1->where);
+
+ switch (op1->ts.type)
+ {
+ case BT_INTEGER:
+ mpz_add (result->value.integer, op1->value.integer, op2->value.integer);
+ break;
+
+ case BT_REAL:
+ mpf_add (result->value.real, op1->value.real, op2->value.real);
+ break;
+
+ case BT_COMPLEX:
+ mpf_add (result->value.complex.r, op1->value.complex.r,
+ op2->value.complex.r);
+
+ mpf_add (result->value.complex.i, op1->value.complex.i,
+ op2->value.complex.i);
+ break;
+
+ default:
+ gfc_internal_error ("gfc_arith_plus(): Bad basic type");
+ }
+
+ rc = gfc_range_check (result);
+
+ if (rc != ARITH_OK)
+ gfc_free_expr (result);
+ else
+ *resultp = result;
+
+ return rc;
+}
+
+
+static arith
+gfc_arith_minus (gfc_expr * op1, gfc_expr * op2, gfc_expr ** resultp)
+{
+ gfc_expr *result;
+ arith rc;
+
+ result = gfc_constant_result (op1->ts.type, op1->ts.kind, &op1->where);
+
+ switch (op1->ts.type)
+ {
+ case BT_INTEGER:
+ mpz_sub (result->value.integer, op1->value.integer, op2->value.integer);
+ break;
+
+ case BT_REAL:
+ mpf_sub (result->value.real, op1->value.real, op2->value.real);
+ break;
+
+ case BT_COMPLEX:
+ mpf_sub (result->value.complex.r, op1->value.complex.r,
+ op2->value.complex.r);
+
+ mpf_sub (result->value.complex.i, op1->value.complex.i,
+ op2->value.complex.i);
+
+ break;
+
+ default:
+ gfc_internal_error ("gfc_arith_minus(): Bad basic type");
+ }
+
+ rc = gfc_range_check (result);
+
+ if (rc != ARITH_OK)
+ gfc_free_expr (result);
+ else
+ *resultp = result;
+
+ return rc;
+}
+
+
+static arith
+gfc_arith_times (gfc_expr * op1, gfc_expr * op2, gfc_expr ** resultp)
+{
+ gfc_expr *result;
+ mpf_t x, y;
+ arith rc;
+
+ result = gfc_constant_result (op1->ts.type, op1->ts.kind, &op1->where);
+
+ switch (op1->ts.type)
+ {
+ case BT_INTEGER:
+ mpz_mul (result->value.integer, op1->value.integer, op2->value.integer);
+ break;
+
+ case BT_REAL:
+ mpf_mul (result->value.real, op1->value.real, op2->value.real);
+ break;
+
+ case BT_COMPLEX:
+ mpf_init (x);
+ mpf_init (y);
+
+ mpf_mul (x, op1->value.complex.r, op2->value.complex.r);
+ mpf_mul (y, op1->value.complex.i, op2->value.complex.i);
+ mpf_sub (result->value.complex.r, x, y);
+
+ mpf_mul (x, op1->value.complex.r, op2->value.complex.i);
+ mpf_mul (y, op1->value.complex.i, op2->value.complex.r);
+ mpf_add (result->value.complex.i, x, y);
+
+ mpf_clear (x);
+ mpf_clear (y);
+
+ break;
+
+ default:
+ gfc_internal_error ("gfc_arith_times(): Bad basic type");
+ }
+
+ rc = gfc_range_check (result);
+
+ if (rc != ARITH_OK)
+ gfc_free_expr (result);
+ else
+ *resultp = result;
+
+ return rc;
+}
+
+
+static arith
+gfc_arith_divide (gfc_expr * op1, gfc_expr * op2, gfc_expr ** resultp)
+{
+ gfc_expr *result;
+ mpf_t x, y, div;
+ arith rc;
+
+ rc = ARITH_OK;
+
+ result = gfc_constant_result (op1->ts.type, op1->ts.kind, &op1->where);
+
+ switch (op1->ts.type)
+ {
+ case BT_INTEGER:
+ if (mpz_sgn (op2->value.integer) == 0)
+ {
+ rc = ARITH_DIV0;
+ break;
+ }
+
+ mpz_tdiv_q (result->value.integer, op1->value.integer,
+ op2->value.integer);
+ break;
+
+ case BT_REAL:
+ if (mpf_sgn (op2->value.real) == 0)
+ {
+ rc = ARITH_DIV0;
+ break;
+ }
+
+ mpf_div (result->value.real, op1->value.real, op2->value.real);
+ break;
+
+ case BT_COMPLEX:
+ if (mpf_sgn (op2->value.complex.r) == 0
+ && mpf_sgn (op2->value.complex.i) == 0)
+ {
+ rc = ARITH_DIV0;
+ break;
+ }
+
+ mpf_init (x);
+ mpf_init (y);
+ mpf_init (div);
+
+ mpf_mul (x, op2->value.complex.r, op2->value.complex.r);
+ mpf_mul (y, op2->value.complex.i, op2->value.complex.i);
+ mpf_add (div, x, y);
+
+ mpf_mul (x, op1->value.complex.r, op2->value.complex.r);
+ mpf_mul (y, op1->value.complex.i, op2->value.complex.i);
+ mpf_add (result->value.complex.r, x, y);
+ mpf_div (result->value.complex.r, result->value.complex.r, div);
+
+ mpf_mul (x, op1->value.complex.i, op2->value.complex.r);
+ mpf_mul (y, op1->value.complex.r, op2->value.complex.i);
+ mpf_sub (result->value.complex.i, x, y);
+ mpf_div (result->value.complex.i, result->value.complex.i, div);
+
+ mpf_clear (x);
+ mpf_clear (y);
+ mpf_clear (div);
+
+ break;
+
+ default:
+ gfc_internal_error ("gfc_arith_divide(): Bad basic type");
+ }
+
+ if (rc == ARITH_OK)
+ rc = gfc_range_check (result);
+
+ if (rc != ARITH_OK)
+ gfc_free_expr (result);
+ else
+ *resultp = result;
+
+ return rc;
+}
+
+
+/* Compute the reciprocal of a complex number (guaranteed nonzero). */
+
+static void
+complex_reciprocal (gfc_expr * op)
+{
+ mpf_t mod, a, result_r, result_i;
+
+ mpf_init (mod);
+ mpf_init (a);
+
+ mpf_mul (mod, op->value.complex.r, op->value.complex.r);
+ mpf_mul (a, op->value.complex.i, op->value.complex.i);
+ mpf_add (mod, mod, a);
+
+ mpf_init (result_r);
+ mpf_div (result_r, op->value.complex.r, mod);
+
+ mpf_init (result_i);
+ mpf_neg (result_i, op->value.complex.i);
+ mpf_div (result_i, result_i, mod);
+
+ mpf_set (op->value.complex.r, result_r);
+ mpf_set (op->value.complex.i, result_i);
+
+ mpf_clear (result_r);
+ mpf_clear (result_i);
+
+ mpf_clear (mod);
+ mpf_clear (a);
+}
+
+
+/* Raise a complex number to positive power. */
+
+static void
+complex_pow_ui (gfc_expr * base, int power, gfc_expr * result)
+{
+ mpf_t temp_r, temp_i, a;
+
+ mpf_set_ui (result->value.complex.r, 1);
+ mpf_set_ui (result->value.complex.i, 0);
+
+ mpf_init (temp_r);
+ mpf_init (temp_i);
+ mpf_init (a);
+
+ for (; power > 0; power--)
+ {
+ mpf_mul (temp_r, base->value.complex.r, result->value.complex.r);
+ mpf_mul (a, base->value.complex.i, result->value.complex.i);
+ mpf_sub (temp_r, temp_r, a);
+
+ mpf_mul (temp_i, base->value.complex.r, result->value.complex.i);
+ mpf_mul (a, base->value.complex.i, result->value.complex.r);
+ mpf_add (temp_i, temp_i, a);
+
+ mpf_set (result->value.complex.r, temp_r);
+ mpf_set (result->value.complex.i, temp_i);
+ }
+
+ mpf_clear (temp_r);
+ mpf_clear (temp_i);
+ mpf_clear (a);
+}
+
+
+/* Raise a number to an integer power. */
+
+static arith
+gfc_arith_power (gfc_expr * op1, gfc_expr * op2, gfc_expr ** resultp)
+{
+ int power, apower;
+ gfc_expr *result;
+ mpz_t unity_z;
+ mpf_t unity_f;
+ arith rc;
+
+ rc = ARITH_OK;
+
+ if (gfc_extract_int (op2, &power) != NULL)
+ gfc_internal_error ("gfc_arith_power(): Bad exponent");
+
+ result = gfc_constant_result (op1->ts.type, op1->ts.kind, &op1->where);
+
+ if (power == 0)
+ { /* Handle something to the zeroth power */
+ switch (op1->ts.type)
+ {
+ case BT_INTEGER:
+ if (mpz_sgn (op1->value.integer) == 0)
+ rc = ARITH_0TO0;
+ else
+ mpz_set_ui (result->value.integer, 1);
+
+ break;
+
+ case BT_REAL:
+ if (mpf_sgn (op1->value.real) == 0)
+ rc = ARITH_0TO0;
+ else
+ mpf_set_ui (result->value.real, 1);
+
+ break;
+
+ case BT_COMPLEX:
+ if (mpf_sgn (op1->value.complex.r) == 0
+ && mpf_sgn (op1->value.complex.i) == 0)
+ rc = ARITH_0TO0;
+ else
+ {
+ mpf_set_ui (result->value.complex.r, 1);
+ mpf_set_ui (result->value.complex.r, 0);
+ }
+
+ break;
+
+ default:
+ gfc_internal_error ("gfc_arith_power(): Bad base");
+ }
+ }
+
+ if (power != 0)
+ {
+ apower = power;
+ if (power < 0)
+ apower = -power;
+
+ switch (op1->ts.type)
+ {
+ case BT_INTEGER:
+ mpz_pow_ui (result->value.integer, op1->value.integer, apower);
+
+ if (power < 0)
+ {
+ mpz_init_set_ui (unity_z, 1);
+ mpz_tdiv_q (result->value.integer, unity_z,
+ result->value.integer);
+ mpz_clear (unity_z);
+ }
+
+ break;
+
+ case BT_REAL:
+ mpf_pow_ui (result->value.real, op1->value.real, apower);
+
+ if (power < 0)
+ {
+ mpf_init_set_ui (unity_f, 1);
+ mpf_div (result->value.real, unity_f, result->value.real);
+ mpf_clear (unity_f);
+ }
+
+ break;
+
+ case BT_COMPLEX:
+ complex_pow_ui (op1, apower, result);
+ if (power < 0)
+ complex_reciprocal (result);
+
+ break;
+
+ default:
+ break;
+ }
+ }
+
+ if (rc == ARITH_OK)
+ rc = gfc_range_check (result);
+
+ if (rc != ARITH_OK)
+ gfc_free_expr (result);
+ else
+ *resultp = result;
+
+ return rc;
+}
+
+
+/* Concatenate two string constants. */
+
+static arith
+gfc_arith_concat (gfc_expr * op1, gfc_expr * op2, gfc_expr ** resultp)
+{
+ gfc_expr *result;
+ int len;
+
+ result = gfc_constant_result (BT_CHARACTER, gfc_default_character_kind (),
+ &op1->where);
+
+ len = op1->value.character.length + op2->value.character.length;
+
+ result->value.character.string = gfc_getmem (len + 1);
+ result->value.character.length = len;
+
+ memcpy (result->value.character.string, op1->value.character.string,
+ op1->value.character.length);
+
+ memcpy (result->value.character.string + op1->value.character.length,
+ op2->value.character.string, op2->value.character.length);
+
+ result->value.character.string[len] = '\0';
+
+ *resultp = result;
+
+ return ARITH_OK;
+}
+
+
+/* Comparison operators. Assumes that the two expression nodes
+ contain two constants of the same type. */
+
+int
+gfc_compare_expr (gfc_expr * op1, gfc_expr * op2)
+{
+ int rc;
+
+ switch (op1->ts.type)
+ {
+ case BT_INTEGER:
+ rc = mpz_cmp (op1->value.integer, op2->value.integer);
+ break;
+
+ case BT_REAL:
+ rc = mpf_cmp (op1->value.real, op2->value.real);
+ break;
+
+ case BT_CHARACTER:
+ rc = gfc_compare_string (op1, op2, NULL);
+ break;
+
+ case BT_LOGICAL:
+ rc = ((!op1->value.logical && op2->value.logical)
+ || (op1->value.logical && !op2->value.logical));
+ break;
+
+ default:
+ gfc_internal_error ("gfc_compare_expr(): Bad basic type");
+ }
+
+ return rc;
+}
+
+
+/* Compare a pair of complex numbers. Naturally, this is only for
+ equality/nonequality. */
+
+static int
+compare_complex (gfc_expr * op1, gfc_expr * op2)
+{
+
+ return (mpf_cmp (op1->value.complex.r, op2->value.complex.r) == 0
+ && mpf_cmp (op1->value.complex.i, op2->value.complex.i) == 0);
+}
+
+
+/* Given two constant strings and the inverse collating sequence,
+ compare the strings. We return -1 for a<b, 0 for a==b and 1 for
+ a>b. If the xcoll_table is NULL, we use the processor's default
+ collating sequence. */
+
+int
+gfc_compare_string (gfc_expr * a, gfc_expr * b, const int *xcoll_table)
+{
+ int len, alen, blen, i, ac, bc;
+
+ alen = a->value.character.length;
+ blen = b->value.character.length;
+
+ len = (alen > blen) ? alen : blen;
+
+ for (i = 0; i < len; i++)
+ {
+ ac = (i < alen) ? a->value.character.string[i] : ' ';
+ bc = (i < blen) ? b->value.character.string[i] : ' ';
+
+ if (xcoll_table != NULL)
+ {
+ ac = xcoll_table[ac];
+ bc = xcoll_table[bc];
+ }
+
+ if (ac < bc)
+ return -1;
+ if (ac > bc)
+ return 1;
+ }
+
+ /* Strings are equal */
+
+ return 0;
+}
+
+
+/* Specific comparison subroutines. */
+
+static arith
+gfc_arith_eq (gfc_expr * op1, gfc_expr * op2, gfc_expr ** resultp)
+{
+ gfc_expr *result;
+
+ result = gfc_constant_result (BT_LOGICAL, gfc_default_logical_kind (),
+ &op1->where);
+ result->value.logical = (op1->ts.type == BT_COMPLEX) ?
+ compare_complex (op1, op2) : (gfc_compare_expr (op1, op2) == 0);
+
+ *resultp = result;
+ return ARITH_OK;
+}
+
+
+static arith
+gfc_arith_ne (gfc_expr * op1, gfc_expr * op2, gfc_expr ** resultp)
+{
+ gfc_expr *result;
+
+ result = gfc_constant_result (BT_LOGICAL, gfc_default_logical_kind (),
+ &op1->where);
+ result->value.logical = (op1->ts.type == BT_COMPLEX) ?
+ !compare_complex (op1, op2) : (gfc_compare_expr (op1, op2) != 0);
+
+ *resultp = result;
+ return ARITH_OK;
+}
+
+
+static arith
+gfc_arith_gt (gfc_expr * op1, gfc_expr * op2, gfc_expr ** resultp)
+{
+ gfc_expr *result;
+
+ result = gfc_constant_result (BT_LOGICAL, gfc_default_logical_kind (),
+ &op1->where);
+ result->value.logical = (gfc_compare_expr (op1, op2) > 0);
+ *resultp = result;
+
+ return ARITH_OK;
+}
+
+
+static arith
+gfc_arith_ge (gfc_expr * op1, gfc_expr * op2, gfc_expr ** resultp)
+{
+ gfc_expr *result;
+
+ result = gfc_constant_result (BT_LOGICAL, gfc_default_logical_kind (),
+ &op1->where);
+ result->value.logical = (gfc_compare_expr (op1, op2) >= 0);
+ *resultp = result;
+
+ return ARITH_OK;
+}
+
+
+static arith
+gfc_arith_lt (gfc_expr * op1, gfc_expr * op2, gfc_expr ** resultp)
+{
+ gfc_expr *result;
+
+ result = gfc_constant_result (BT_LOGICAL, gfc_default_logical_kind (),
+ &op1->where);
+ result->value.logical = (gfc_compare_expr (op1, op2) < 0);
+ *resultp = result;
+
+ return ARITH_OK;
+}
+
+
+static arith
+gfc_arith_le (gfc_expr * op1, gfc_expr * op2, gfc_expr ** resultp)
+{
+ gfc_expr *result;
+
+ result = gfc_constant_result (BT_LOGICAL, gfc_default_logical_kind (),
+ &op1->where);
+ result->value.logical = (gfc_compare_expr (op1, op2) <= 0);
+ *resultp = result;
+
+ return ARITH_OK;
+}
+
+
+static arith
+reduce_unary (arith (*eval) (gfc_expr *, gfc_expr **), gfc_expr * op,
+ gfc_expr ** result)
+{
+ gfc_constructor *c, *head;
+ gfc_expr *r;
+ arith rc;
+
+ if (op->expr_type == EXPR_CONSTANT)
+ return eval (op, result);
+
+ rc = ARITH_OK;
+ head = gfc_copy_constructor (op->value.constructor);
+
+ for (c = head; c; c = c->next)
+ {
+ rc = eval (c->expr, &r);
+ if (rc != ARITH_OK)
+ break;
+
+ gfc_replace_expr (c->expr, r);
+ }
+
+ if (rc != ARITH_OK)
+ gfc_free_constructor (head);
+ else
+ {
+ r = gfc_get_expr ();
+ r->expr_type = EXPR_ARRAY;
+ r->value.constructor = head;
+ r->shape = gfc_copy_shape (op->shape, op->rank);
+
+ r->ts = head->expr->ts;
+ r->where = op->where;
+ r->rank = op->rank;
+
+ *result = r;
+ }
+
+ return rc;
+}
+
+
+static arith
+reduce_binary_ac (arith (*eval) (gfc_expr *, gfc_expr *, gfc_expr **),
+ gfc_expr * op1, gfc_expr * op2,
+ gfc_expr ** result)
+{
+ gfc_constructor *c, *head;
+ gfc_expr *r;
+ arith rc;
+
+ head = gfc_copy_constructor (op1->value.constructor);
+ rc = ARITH_OK;
+
+ for (c = head; c; c = c->next)
+ {
+ rc = eval (c->expr, op2, &r);
+ if (rc != ARITH_OK)
+ break;
+
+ gfc_replace_expr (c->expr, r);
+ }
+
+ if (rc != ARITH_OK)
+ gfc_free_constructor (head);
+ else
+ {
+ r = gfc_get_expr ();
+ r->expr_type = EXPR_ARRAY;
+ r->value.constructor = head;
+ r->shape = gfc_copy_shape (op1->shape, op1->rank);
+
+ r->ts = head->expr->ts;
+ r->where = op1->where;
+ r->rank = op1->rank;
+
+ *result = r;
+ }
+
+ return rc;
+}
+
+
+static arith
+reduce_binary_ca (arith (*eval) (gfc_expr *, gfc_expr *, gfc_expr **),
+ gfc_expr * op1, gfc_expr * op2,
+ gfc_expr ** result)
+{
+ gfc_constructor *c, *head;
+ gfc_expr *r;
+ arith rc;
+
+ head = gfc_copy_constructor (op2->value.constructor);
+ rc = ARITH_OK;
+
+ for (c = head; c; c = c->next)
+ {
+ rc = eval (op1, c->expr, &r);
+ if (rc != ARITH_OK)
+ break;
+
+ gfc_replace_expr (c->expr, r);
+ }
+
+ if (rc != ARITH_OK)
+ gfc_free_constructor (head);
+ else
+ {
+ r = gfc_get_expr ();
+ r->expr_type = EXPR_ARRAY;
+ r->value.constructor = head;
+ r->shape = gfc_copy_shape (op2->shape, op2->rank);
+
+ r->ts = head->expr->ts;
+ r->where = op2->where;
+ r->rank = op2->rank;
+
+ *result = r;
+ }
+
+ return rc;
+}
+
+
+static arith
+reduce_binary_aa (arith (*eval) (gfc_expr *, gfc_expr *, gfc_expr **),
+ gfc_expr * op1, gfc_expr * op2,
+ gfc_expr ** result)
+{
+ gfc_constructor *c, *d, *head;
+ gfc_expr *r;
+ arith rc;
+
+ head = gfc_copy_constructor (op1->value.constructor);
+
+ rc = ARITH_OK;
+ d = op2->value.constructor;
+
+ if (gfc_check_conformance ("Elemental binary operation", op1, op2)
+ != SUCCESS)
+ rc = ARITH_INCOMMENSURATE;
+ else
+ {
+
+ for (c = head; c; c = c->next, d = d->next)
+ {
+ if (d == NULL)
+ {
+ rc = ARITH_INCOMMENSURATE;
+ break;
+ }
+
+ rc = eval (c->expr, d->expr, &r);
+ if (rc != ARITH_OK)
+ break;
+
+ gfc_replace_expr (c->expr, r);
+ }
+
+ if (d != NULL)
+ rc = ARITH_INCOMMENSURATE;
+ }
+
+ if (rc != ARITH_OK)
+ gfc_free_constructor (head);
+ else
+ {
+ r = gfc_get_expr ();
+ r->expr_type = EXPR_ARRAY;
+ r->value.constructor = head;
+ r->shape = gfc_copy_shape (op1->shape, op1->rank);
+
+ r->ts = head->expr->ts;
+ r->where = op1->where;
+ r->rank = op1->rank;
+
+ *result = r;
+ }
+
+ return rc;
+}
+
+
+static arith
+reduce_binary (arith (*eval) (gfc_expr *, gfc_expr *, gfc_expr **),
+ gfc_expr * op1, gfc_expr * op2,
+ gfc_expr ** result)
+{
+
+ if (op1->expr_type == EXPR_CONSTANT && op2->expr_type == EXPR_CONSTANT)
+ return eval (op1, op2, result);
+
+ if (op1->expr_type == EXPR_CONSTANT && op2->expr_type == EXPR_ARRAY)
+ return reduce_binary_ca (eval, op1, op2, result);
+
+ if (op1->expr_type == EXPR_ARRAY && op2->expr_type == EXPR_CONSTANT)
+ return reduce_binary_ac (eval, op1, op2, result);
+
+ return reduce_binary_aa (eval, op1, op2, result);
+}
+
+
+typedef union
+{
+ arith (*f2)(gfc_expr *, gfc_expr **);
+ arith (*f3)(gfc_expr *, gfc_expr *, gfc_expr **);
+}
+eval_f;
+
+/* High level arithmetic subroutines. These subroutines go into
+ eval_intrinsic(), which can do one of several things to its
+ operands. If the operands are incompatible with the intrinsic
+ operation, we return a node pointing to the operands and hope that
+ an operator interface is found during resolution.
+
+ If the operands are compatible and are constants, then we try doing
+ the arithmetic. We also handle the cases where either or both
+ operands are array constructors. */
+
+static gfc_expr *
+eval_intrinsic (gfc_intrinsic_op operator,
+ eval_f eval, gfc_expr * op1, gfc_expr * op2)
+{
+ gfc_expr temp, *result;
+ int unary;
+ arith rc;
+
+ gfc_clear_ts (&temp.ts);
+
+ switch (operator)
+ {
+ case INTRINSIC_NOT: /* Logical unary */
+ if (op1->ts.type != BT_LOGICAL)
+ goto runtime;
+
+ temp.ts.type = BT_LOGICAL;
+ temp.ts.kind = gfc_default_logical_kind ();
+
+ unary = 1;
+ break;
+
+ /* Logical binary operators */
+ case INTRINSIC_OR:
+ case INTRINSIC_AND:
+ case INTRINSIC_NEQV:
+ case INTRINSIC_EQV:
+ if (op1->ts.type != BT_LOGICAL || op2->ts.type != BT_LOGICAL)
+ goto runtime;
+
+ temp.ts.type = BT_LOGICAL;
+ temp.ts.kind = gfc_default_logical_kind ();
+
+ unary = 0;
+ break;
+
+ case INTRINSIC_UPLUS:
+ case INTRINSIC_UMINUS: /* Numeric unary */
+ if (!gfc_numeric_ts (&op1->ts))
+ goto runtime;
+
+ temp.ts = op1->ts;
+
+ unary = 1;
+ break;
+
+ case INTRINSIC_GE:
+ case INTRINSIC_LT: /* Additional restrictions */
+ case INTRINSIC_LE: /* for ordering relations. */
+ case INTRINSIC_GT:
+ if (op1->ts.type == BT_COMPLEX || op2->ts.type == BT_COMPLEX)
+ {
+ temp.ts.type = BT_LOGICAL;
+ temp.ts.kind = gfc_default_logical_kind();
+ goto runtime;
+ }
+
+ /* else fall through */
+
+ case INTRINSIC_EQ:
+ case INTRINSIC_NE:
+ if (op1->ts.type == BT_CHARACTER && op2->ts.type == BT_CHARACTER)
+ {
+ unary = 0;
+ temp.ts.type = BT_LOGICAL;
+ temp.ts.kind = gfc_default_logical_kind();
+ break;
+ }
+
+ /* else fall through */
+
+ case INTRINSIC_PLUS:
+ case INTRINSIC_MINUS:
+ case INTRINSIC_TIMES:
+ case INTRINSIC_DIVIDE:
+ case INTRINSIC_POWER: /* Numeric binary */
+ if (!gfc_numeric_ts (&op1->ts) || !gfc_numeric_ts (&op2->ts))
+ goto runtime;
+
+ /* Insert any necessary type conversions to make the operands compatible. */
+
+ temp.expr_type = EXPR_OP;
+ gfc_clear_ts (&temp.ts);
+ temp.operator = operator;
+
+ temp.op1 = op1;
+ temp.op2 = op2;
+
+ gfc_type_convert_binary (&temp);
+
+ if (operator == INTRINSIC_EQ || operator == INTRINSIC_NE
+ || operator == INTRINSIC_GE || operator == INTRINSIC_GT
+ || operator == INTRINSIC_LE || operator == INTRINSIC_LT)
+ {
+ temp.ts.type = BT_LOGICAL;
+ temp.ts.kind = gfc_default_logical_kind ();
+ }
+
+ unary = 0;
+ break;
+
+ case INTRINSIC_CONCAT: /* Character binary */
+ if (op1->ts.type != BT_CHARACTER || op2->ts.type != BT_CHARACTER)
+ goto runtime;
+
+ temp.ts.type = BT_CHARACTER;
+ temp.ts.kind = gfc_default_character_kind ();
+
+ unary = 0;
+ break;
+
+ case INTRINSIC_USER:
+ goto runtime;
+
+ default:
+ gfc_internal_error ("eval_intrinsic(): Bad operator");
+ }
+
+ /* Try to combine the operators. */
+ if (operator == INTRINSIC_POWER && op2->ts.type != BT_INTEGER)
+ goto runtime;
+
+ if (op1->expr_type != EXPR_CONSTANT
+ && (op1->expr_type != EXPR_ARRAY
+ || !gfc_is_constant_expr (op1)
+ || !gfc_expanded_ac (op1)))
+ goto runtime;
+
+ if (op2 != NULL
+ && op2->expr_type != EXPR_CONSTANT
+ && (op2->expr_type != EXPR_ARRAY
+ || !gfc_is_constant_expr (op2)
+ || !gfc_expanded_ac (op2)))
+ goto runtime;
+
+ if (unary)
+ rc = reduce_unary (eval.f2, op1, &result);
+ else
+ rc = reduce_binary (eval.f3, op1, op2, &result);
+
+ if (rc != ARITH_OK)
+ { /* Something went wrong */
+ gfc_error ("%s at %L", gfc_arith_error (rc), &op1->where);
+ return NULL;
+ }
+
+ gfc_free_expr (op1);
+ gfc_free_expr (op2);
+ return result;
+
+runtime:
+ /* Create a run-time expression */
+ result = gfc_get_expr ();
+ result->ts = temp.ts;
+
+ result->expr_type = EXPR_OP;
+ result->operator = operator;
+
+ result->op1 = op1;
+ result->op2 = op2;
+
+ result->where = op1->where;
+
+ return result;
+}
+
+
+/* Modify type of expression for zero size array. */
+static gfc_expr *
+eval_type_intrinsic0 (gfc_intrinsic_op operator, gfc_expr *op)
+{
+ if (op == NULL)
+ gfc_internal_error("eval_type_intrinsic0(): op NULL");
+
+ switch(operator)
+ {
+ case INTRINSIC_GE:
+ case INTRINSIC_LT:
+ case INTRINSIC_LE:
+ case INTRINSIC_GT:
+ case INTRINSIC_EQ:
+ case INTRINSIC_NE:
+ op->ts.type = BT_LOGICAL;
+ op->ts.kind = gfc_default_logical_kind();
+ break;
+
+ default:
+ break;
+ }
+
+ return op;
+}
+
+
+/* Return nonzero if the expression is a zero size array. */
+
+static int
+gfc_zero_size_array (gfc_expr * e)
+{
+
+ if (e->expr_type != EXPR_ARRAY)
+ return 0;
+
+ return e->value.constructor == NULL;
+}
+
+
+/* Reduce a binary expression where at least one of the operands
+ involves a zero-length array. Returns NULL if neither of the
+ operands is a zero-length array. */
+
+static gfc_expr *
+reduce_binary0 (gfc_expr * op1, gfc_expr * op2)
+{
+
+ if (gfc_zero_size_array (op1))
+ {
+ gfc_free_expr (op2);
+ return op1;
+ }
+
+ if (gfc_zero_size_array (op2))
+ {
+ gfc_free_expr (op1);
+ return op2;
+ }
+
+ return NULL;
+}
+
+
+static gfc_expr *
+eval_intrinsic_f2 (gfc_intrinsic_op operator,
+ arith (*eval) (gfc_expr *, gfc_expr **),
+ gfc_expr * op1, gfc_expr * op2)
+{
+ gfc_expr *result;
+ eval_f f;
+
+ if (op2 == NULL)
+ {
+ if (gfc_zero_size_array (op1))
+ return eval_type_intrinsic0(operator, op1);
+ }
+ else
+ {
+ result = reduce_binary0 (op1, op2);
+ if (result != NULL)
+ return eval_type_intrinsic0(operator, result);
+ }
+
+ f.f2 = eval;
+ return eval_intrinsic (operator, f, op1, op2);
+}
+
+
+static gfc_expr *
+eval_intrinsic_f3 (gfc_intrinsic_op operator,
+ arith (*eval) (gfc_expr *, gfc_expr *, gfc_expr **),
+ gfc_expr * op1, gfc_expr * op2)
+{
+ gfc_expr *result;
+ eval_f f;
+
+ result = reduce_binary0 (op1, op2);
+ if (result != NULL)
+ return eval_type_intrinsic0(operator, result);
+
+ f.f3 = eval;
+ return eval_intrinsic (operator, f, op1, op2);
+}
+
+
+
+gfc_expr *
+gfc_uplus (gfc_expr * op)
+{
+ return eval_intrinsic_f2 (INTRINSIC_UPLUS, gfc_arith_uplus, op, NULL);
+}
+
+gfc_expr *
+gfc_uminus (gfc_expr * op)
+{
+ return eval_intrinsic_f2 (INTRINSIC_UMINUS, gfc_arith_uminus, op, NULL);
+}
+
+gfc_expr *
+gfc_add (gfc_expr * op1, gfc_expr * op2)
+{
+ return eval_intrinsic_f3 (INTRINSIC_PLUS, gfc_arith_plus, op1, op2);
+}
+
+gfc_expr *
+gfc_subtract (gfc_expr * op1, gfc_expr * op2)
+{
+ return eval_intrinsic_f3 (INTRINSIC_MINUS, gfc_arith_minus, op1, op2);
+}
+
+gfc_expr *
+gfc_multiply (gfc_expr * op1, gfc_expr * op2)
+{
+ return eval_intrinsic_f3 (INTRINSIC_TIMES, gfc_arith_times, op1, op2);
+}
+
+gfc_expr *
+gfc_divide (gfc_expr * op1, gfc_expr * op2)
+{
+ return eval_intrinsic_f3 (INTRINSIC_DIVIDE, gfc_arith_divide, op1, op2);
+}
+
+gfc_expr *
+gfc_power (gfc_expr * op1, gfc_expr * op2)
+{
+ return eval_intrinsic_f3 (INTRINSIC_POWER, gfc_arith_power, op1, op2);
+}
+
+gfc_expr *
+gfc_concat (gfc_expr * op1, gfc_expr * op2)
+{
+ return eval_intrinsic_f3 (INTRINSIC_CONCAT, gfc_arith_concat, op1, op2);
+}
+
+gfc_expr *
+gfc_and (gfc_expr * op1, gfc_expr * op2)
+{
+ return eval_intrinsic_f3 (INTRINSIC_AND, gfc_arith_and, op1, op2);
+}
+
+gfc_expr *
+gfc_or (gfc_expr * op1, gfc_expr * op2)
+{
+ return eval_intrinsic_f3 (INTRINSIC_OR, gfc_arith_or, op1, op2);
+}
+
+gfc_expr *
+gfc_not (gfc_expr * op1)
+{
+ return eval_intrinsic_f2 (INTRINSIC_NOT, gfc_arith_not, op1, NULL);
+}
+
+gfc_expr *
+gfc_eqv (gfc_expr * op1, gfc_expr * op2)
+{
+ return eval_intrinsic_f3 (INTRINSIC_EQV, gfc_arith_eqv, op1, op2);
+}
+
+gfc_expr *
+gfc_neqv (gfc_expr * op1, gfc_expr * op2)
+{
+ return eval_intrinsic_f3 (INTRINSIC_NEQV, gfc_arith_neqv, op1, op2);
+}
+
+gfc_expr *
+gfc_eq (gfc_expr * op1, gfc_expr * op2)
+{
+ return eval_intrinsic_f3 (INTRINSIC_EQ, gfc_arith_eq, op1, op2);
+}
+
+gfc_expr *
+gfc_ne (gfc_expr * op1, gfc_expr * op2)
+{
+ return eval_intrinsic_f3 (INTRINSIC_NE, gfc_arith_ne, op1, op2);
+}
+
+gfc_expr *
+gfc_gt (gfc_expr * op1, gfc_expr * op2)
+{
+ return eval_intrinsic_f3 (INTRINSIC_GT, gfc_arith_gt, op1, op2);
+}
+
+gfc_expr *
+gfc_ge (gfc_expr * op1, gfc_expr * op2)
+{
+ return eval_intrinsic_f3 (INTRINSIC_GE, gfc_arith_ge, op1, op2);
+}
+
+gfc_expr *
+gfc_lt (gfc_expr * op1, gfc_expr * op2)
+{
+ return eval_intrinsic_f3 (INTRINSIC_LT, gfc_arith_lt, op1, op2);
+}
+
+gfc_expr *
+gfc_le (gfc_expr * op1, gfc_expr * op2)
+{
+ return eval_intrinsic_f3 (INTRINSIC_LE, gfc_arith_le, op1, op2);
+}
+
+
+/* Convert an integer string to an expression node. */
+
+gfc_expr *
+gfc_convert_integer (const char *buffer, int kind, int radix, locus * where)
+{
+ gfc_expr *e;
+ const char *t;
+
+ e = gfc_constant_result (BT_INTEGER, kind, where);
+ /* a leading plus is allowed, but not by mpz_set_str */
+ if (buffer[0] == '+')
+ t = buffer + 1;
+ else
+ t = buffer;
+ mpz_set_str (e->value.integer, t, radix);
+
+ return e;
+}
+
+
+/* Convert a real string to an expression node. */
+
+gfc_expr *
+gfc_convert_real (const char *buffer, int kind, locus * where)
+{
+ gfc_expr *e;
+ const char *t;
+
+ e = gfc_constant_result (BT_REAL, kind, where);
+ /* a leading plus is allowed, but not by mpf_set_str */
+ if (buffer[0] == '+')
+ t = buffer + 1;
+ else
+ t = buffer;
+ mpf_set_str (e->value.real, t, 10);
+
+ return e;
+}
+
+
+/* Convert a pair of real, constant expression nodes to a single
+ complex expression node. */
+
+gfc_expr *
+gfc_convert_complex (gfc_expr * real, gfc_expr * imag, int kind)
+{
+ gfc_expr *e;
+
+ e = gfc_constant_result (BT_COMPLEX, kind, &real->where);
+ mpf_set (e->value.complex.r, real->value.real);
+ mpf_set (e->value.complex.i, imag->value.real);
+
+ return e;
+}
+
+
+/******* Simplification of intrinsic functions with constant arguments *****/
+
+
+/* Deal with an arithmetic error. */
+
+static void
+arith_error (arith rc, gfc_typespec * from, gfc_typespec * to, locus * where)
+{
+
+ gfc_error ("%s converting %s to %s at %L", gfc_arith_error (rc),
+ gfc_typename (from), gfc_typename (to), where);
+
+ /* TODO: Do something about the error, ie underflow rounds to 0,
+ throw exception, return NaN, etc. */
+}
+
+/* Convert integers to integers. */
+
+gfc_expr *
+gfc_int2int (gfc_expr * src, int kind)
+{
+ gfc_expr *result;
+ arith rc;
+
+ result = gfc_constant_result (BT_INTEGER, kind, &src->where);
+
+ mpz_set (result->value.integer, src->value.integer);
+
+ if ((rc = gfc_check_integer_range (result->value.integer, kind))
+ != ARITH_OK)
+ {
+ arith_error (rc, &src->ts, &result->ts, &src->where);
+ gfc_free_expr (result);
+ return NULL;
+ }
+
+ return result;
+}
+
+
+/* Convert integers to reals. */
+
+gfc_expr *
+gfc_int2real (gfc_expr * src, int kind)
+{
+ gfc_expr *result;
+ arith rc;
+
+ result = gfc_constant_result (BT_REAL, kind, &src->where);
+
+ mpf_set_z (result->value.real, src->value.integer);
+
+ if ((rc = gfc_check_real_range (result->value.real, kind)) != ARITH_OK)
+ {
+ arith_error (rc, &src->ts, &result->ts, &src->where);
+ gfc_free_expr (result);
+ return NULL;
+ }
+
+ return result;
+}
+
+
+/* Convert default integer to default complex. */
+
+gfc_expr *
+gfc_int2complex (gfc_expr * src, int kind)
+{
+ gfc_expr *result;
+ arith rc;
+
+ result = gfc_constant_result (BT_COMPLEX, kind, &src->where);
+
+ mpf_set_z (result->value.complex.r, src->value.integer);
+ mpf_set_ui (result->value.complex.i, 0);
+
+ if ((rc = gfc_check_real_range (result->value.complex.i, kind)) != ARITH_OK)
+ {
+ arith_error (rc, &src->ts, &result->ts, &src->where);
+ gfc_free_expr (result);
+ return NULL;
+ }
+
+ return result;
+}
+
+
+/* Convert default real to default integer. */
+
+gfc_expr *
+gfc_real2int (gfc_expr * src, int kind)
+{
+ gfc_expr *result;
+ arith rc;
+
+ result = gfc_constant_result (BT_INTEGER, kind, &src->where);
+
+ mpz_set_f (result->value.integer, src->value.real);
+
+ if ((rc = gfc_check_integer_range (result->value.integer, kind))
+ != ARITH_OK)
+ {
+ arith_error (rc, &src->ts, &result->ts, &src->where);
+ gfc_free_expr (result);
+ return NULL;
+ }
+
+ return result;
+}
+
+
+/* Convert real to real. */
+
+gfc_expr *
+gfc_real2real (gfc_expr * src, int kind)
+{
+ gfc_expr *result;
+ arith rc;
+
+ result = gfc_constant_result (BT_REAL, kind, &src->where);
+
+ mpf_set (result->value.real, src->value.real);
+
+ if ((rc = gfc_check_real_range (result->value.real, kind)) != ARITH_OK)
+ {
+ arith_error (rc, &src->ts, &result->ts, &src->where);
+ gfc_free_expr (result);
+ return NULL;
+ }
+
+ return result;
+}
+
+
+/* Convert real to complex. */
+
+gfc_expr *
+gfc_real2complex (gfc_expr * src, int kind)
+{
+ gfc_expr *result;
+ arith rc;
+
+ result = gfc_constant_result (BT_COMPLEX, kind, &src->where);
+
+ mpf_set (result->value.complex.r, src->value.real);
+ mpf_set_ui (result->value.complex.i, 0);
+
+ if ((rc = gfc_check_real_range (result->value.complex.i, kind)) != ARITH_OK)
+ {
+ arith_error (rc, &src->ts, &result->ts, &src->where);
+ gfc_free_expr (result);
+ return NULL;
+ }
+
+ return result;
+}
+
+
+/* Convert complex to integer. */
+
+gfc_expr *
+gfc_complex2int (gfc_expr * src, int kind)
+{
+ gfc_expr *result;
+ arith rc;
+
+ result = gfc_constant_result (BT_INTEGER, kind, &src->where);
+
+ mpz_set_f (result->value.integer, src->value.complex.r);
+
+ if ((rc = gfc_check_integer_range (result->value.integer, kind))
+ != ARITH_OK)
+ {
+ arith_error (rc, &src->ts, &result->ts, &src->where);
+ gfc_free_expr (result);
+ return NULL;
+ }
+
+ return result;
+}
+
+
+/* Convert complex to real. */
+
+gfc_expr *
+gfc_complex2real (gfc_expr * src, int kind)
+{
+ gfc_expr *result;
+ arith rc;
+
+ result = gfc_constant_result (BT_REAL, kind, &src->where);
+
+ mpf_set (result->value.real, src->value.complex.r);
+
+ if ((rc = gfc_check_real_range (result->value.real, kind)) != ARITH_OK)
+ {
+ arith_error (rc, &src->ts, &result->ts, &src->where);
+ gfc_free_expr (result);
+ return NULL;
+ }
+
+ return result;
+}
+
+
+/* Convert complex to complex. */
+
+gfc_expr *
+gfc_complex2complex (gfc_expr * src, int kind)
+{
+ gfc_expr *result;
+ arith rc;
+
+ result = gfc_constant_result (BT_COMPLEX, kind, &src->where);
+
+ mpf_set (result->value.complex.r, src->value.complex.r);
+ mpf_set (result->value.complex.i, src->value.complex.i);
+
+ if ((rc = gfc_check_real_range (result->value.complex.r, kind)) != ARITH_OK
+ || (rc =
+ gfc_check_real_range (result->value.complex.i, kind)) != ARITH_OK)
+ {
+ arith_error (rc, &src->ts, &result->ts, &src->where);
+ gfc_free_expr (result);
+ return NULL;
+ }
+
+ return result;
+}
+
+
+/* Logical kind conversion. */
+
+gfc_expr *
+gfc_log2log (gfc_expr * src, int kind)
+{
+ gfc_expr *result;
+
+ result = gfc_constant_result (BT_LOGICAL, kind, &src->where);
+ result->value.logical = src->value.logical;
+
+ return result;
+}