537 lines
12 KiB
C
537 lines
12 KiB
C
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/*
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* interface dc to the bc numeric routines
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*
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* Copyright (C) 1994, 1997 Free Software Foundation, Inc.
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*
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* This program is free software; you can redistribute it and/or modify
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* it under the terms of the GNU General Public License as published by
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* the Free Software Foundation; either version 2, or (at your option)
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* any later version.
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*
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* This program is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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* GNU General Public License for more details.
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*
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* You should have received a copy of the GNU General Public License
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* along with this program; if not, you can either send email to this
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* program's author (see below) or write to: The Free Software Foundation,
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* Inc.; 675 Mass Ave. Cambridge, MA 02139, USA.
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*/
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/* This should be the only module that knows the internals of type dc_num */
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/* In this particular implementation we just slather out some glue and
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* make use of bc's numeric routines.
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*/
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#include "config.h"
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#include <stdio.h>
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#include <ctype.h>
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#include "bcdefs.h"
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#include "proto.h"
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#include "global.h"
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#include "dc.h"
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#include "dc-proto.h"
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/* there is no POSIX standard for dc, so we'll take the GNU definitions */
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int std_only = FALSE;
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/* convert an opaque dc_num into a real bc_num */
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#define CastNum(x) ((bc_num)(x))
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/* add two dc_nums, place into *result;
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* return DC_SUCCESS on success, DC_DOMAIN_ERROR on domain error
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*/
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int
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dc_add DC_DECLARG((a, b, kscale, result))
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dc_num a DC_DECLSEP
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dc_num b DC_DECLSEP
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int kscale DC_DECLSEP
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dc_num *result DC_DECLEND
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{
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init_num((bc_num *)result);
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bc_add(CastNum(a), CastNum(b), (bc_num *)result, 0);
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return DC_SUCCESS;
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}
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/* subtract two dc_nums, place into *result;
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* return DC_SUCCESS on success, DC_DOMAIN_ERROR on domain error
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*/
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int
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dc_sub DC_DECLARG((a, b, kscale, result))
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dc_num a DC_DECLSEP
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dc_num b DC_DECLSEP
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int kscale DC_DECLSEP
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dc_num *result DC_DECLEND
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{
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init_num((bc_num *)result);
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bc_sub(CastNum(a), CastNum(b), (bc_num *)result, 0);
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return DC_SUCCESS;
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}
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/* multiply two dc_nums, place into *result;
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* return DC_SUCCESS on success, DC_DOMAIN_ERROR on domain error
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*/
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int
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dc_mul DC_DECLARG((a, b, kscale, result))
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dc_num a DC_DECLSEP
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dc_num b DC_DECLSEP
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int kscale DC_DECLSEP
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dc_num *result DC_DECLEND
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{
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init_num((bc_num *)result);
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bc_multiply(CastNum(a), CastNum(b), (bc_num *)result, kscale);
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return DC_SUCCESS;
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}
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/* divide two dc_nums, place into *result;
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* return DC_SUCCESS on success, DC_DOMAIN_ERROR on domain error
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*/
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int
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dc_div DC_DECLARG((a, b, kscale, result))
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dc_num a DC_DECLSEP
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dc_num b DC_DECLSEP
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int kscale DC_DECLSEP
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dc_num *result DC_DECLEND
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{
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init_num((bc_num *)result);
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if (bc_divide(CastNum(a), CastNum(b), (bc_num *)result, kscale)){
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fprintf(stderr, "%s: divide by zero\n", progname);
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return DC_DOMAIN_ERROR;
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}
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return DC_SUCCESS;
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}
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/* divide two dc_nums, place quotient into *quotient and remainder
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* into *remainder;
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* return DC_SUCCESS on success, DC_DOMAIN_ERROR on domain error
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*/
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int
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dc_divrem DC_DECLARG((a, b, kscale, quotient, remainder))
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dc_num a DC_DECLSEP
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dc_num b DC_DECLSEP
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int kscale DC_DECLSEP
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dc_num *quotient DC_DECLSEP
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dc_num *remainder DC_DECLEND
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{
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init_num((bc_num *)quotient);
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init_num((bc_num *)remainder);
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if (bc_divmod(CastNum(a), CastNum(b),
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(bc_num *)quotient, (bc_num *)remainder, kscale)){
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fprintf(stderr, "%s: divide by zero\n", progname);
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return DC_DOMAIN_ERROR;
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}
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return DC_SUCCESS;
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}
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/* place the reminder of dividing a by b into *result;
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* return DC_SUCCESS on success, DC_DOMAIN_ERROR on domain error
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*/
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int
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dc_rem DC_DECLARG((a, b, kscale, result))
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dc_num a DC_DECLSEP
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dc_num b DC_DECLSEP
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int kscale DC_DECLSEP
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dc_num *result DC_DECLEND
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{
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init_num((bc_num *)result);
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if (bc_modulo(CastNum(a), CastNum(b), (bc_num *)result, kscale)){
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fprintf(stderr, "%s: remainder by zero\n", progname);
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return DC_DOMAIN_ERROR;
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}
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return DC_SUCCESS;
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}
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int
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dc_modexp DC_DECLARG((base, expo, mod, kscale, result))
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dc_num base DC_DECLSEP
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dc_num expo DC_DECLSEP
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dc_num mod DC_DECLSEP
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int kscale DC_DECLSEP
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dc_num *result DC_DECLEND
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{
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init_num((bc_num *)result);
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if (bc_raisemod(CastNum(base), CastNum(expo), CastNum(mod),
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(bc_num *)result, kscale)){
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if (is_zero(CastNum(mod)))
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fprintf(stderr, "%s: remainder by zero\n", progname);
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return DC_DOMAIN_ERROR;
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}
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return DC_SUCCESS;
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}
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/* place the result of exponentiationg a by b into *result;
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* return DC_SUCCESS on success, DC_DOMAIN_ERROR on domain error
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*/
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int
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dc_exp DC_DECLARG((a, b, kscale, result))
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dc_num a DC_DECLSEP
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dc_num b DC_DECLSEP
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int kscale DC_DECLSEP
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dc_num *result DC_DECLEND
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{
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init_num((bc_num *)result);
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bc_raise(CastNum(a), CastNum(b), (bc_num *)result, kscale);
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return DC_SUCCESS;
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}
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/* take the square root of the value, place into *result;
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* return DC_SUCCESS on success, DC_DOMAIN_ERROR on domain error
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*/
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int
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dc_sqrt DC_DECLARG((value, kscale, result))
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dc_num value DC_DECLSEP
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int kscale DC_DECLSEP
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dc_num *result DC_DECLEND
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{
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bc_num tmp;
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tmp = copy_num(CastNum(value));
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if (!bc_sqrt(&tmp, kscale)){
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fprintf(stderr, "%s: square root of negative number\n", progname);
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free_num(&tmp);
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return DC_DOMAIN_ERROR;
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}
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*((bc_num *)result) = tmp;
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return DC_SUCCESS;
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}
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/* compare dc_nums a and b;
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* return a negative value if a < b;
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* return a positive value if a > b;
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* return zero value if a == b
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*/
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int
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dc_compare DC_DECLARG((a, b))
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dc_num a DC_DECLSEP
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dc_num b DC_DECLEND
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{
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return bc_compare(CastNum(a), CastNum(b));
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}
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/* attempt to convert a dc_num to its corresponding int value
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* If discard_flag is true then deallocate the value after use.
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*/
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int
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dc_num2int DC_DECLARG((value, discard_flag))
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dc_num value DC_DECLSEP
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dc_boolean discard_flag DC_DECLEND
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{
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long result;
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result = num2long(CastNum(value));
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if (discard_flag)
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dc_free_num(&value);
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return (int)result;
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}
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/* convert a C integer value into a dc_num */
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/* For convenience of the caller, package the dc_num
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* into a dc_data result.
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*/
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dc_data
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dc_int2data DC_DECLARG((value))
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int value DC_DECLEND
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{
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dc_data result;
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init_num((bc_num *)&result.v.number);
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int2num((bc_num *)&result.v.number, value);
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result.dc_type = DC_NUMBER;
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return result;
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}
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/* get a dc_num from some input stream;
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* input is a function which knows how to read the desired input stream
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* ibase is the input base (2<=ibase<=DC_IBASE_MAX)
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* *readahead will be set to the readahead character consumed while
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* looking for the end-of-number
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*/
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/* For convenience of the caller, package the dc_num
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* into a dc_data result.
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*/
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dc_data
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dc_getnum DC_DECLARG((input, ibase, readahead))
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int (*input) DC_PROTO((void)) DC_DECLSEP
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int ibase DC_DECLSEP
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int *readahead DC_DECLEND
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{
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bc_num base;
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bc_num result;
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bc_num build;
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bc_num tmp;
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bc_num divisor;
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dc_data full_result;
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int negative = 0;
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int digit;
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int decimal;
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int c;
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init_num(&tmp);
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init_num(&build);
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init_num(&base);
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result = copy_num(_zero_);
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int2num(&base, ibase);
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c = (*input)();
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while (isspace(c))
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c = (*input)();
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if (c == '_' || c == '-'){
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negative = c;
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c = (*input)();
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}else if (c == '+'){
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c = (*input)();
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}
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while (isspace(c))
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c = (*input)();
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for (;;){
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if (isdigit(c))
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digit = c - '0';
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else if ('A' <= c && c <= 'F')
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digit = 10 + c - 'A';
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else
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break;
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c = (*input)();
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int2num(&tmp, digit);
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bc_multiply(result, base, &result, 0);
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bc_add(result, tmp, &result, 0);
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}
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if (c == '.'){
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free_num(&build);
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free_num(&tmp);
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divisor = copy_num(_one_);
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build = copy_num(_zero_);
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decimal = 0;
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for (;;){
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c = (*input)();
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if (isdigit(c))
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digit = c - '0';
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else if ('A' <= c && c <= 'F')
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digit = 10 + c - 'A';
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else
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break;
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int2num(&tmp, digit);
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bc_multiply(build, base, &build, 0);
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bc_add(build, tmp, &build, 0);
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bc_multiply(divisor, base, &divisor, 0);
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++decimal;
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}
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bc_divide(build, divisor, &build, decimal);
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bc_add(result, build, &result, 0);
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}
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/* Final work. */
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if (negative)
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bc_sub(_zero_, result, &result, 0);
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free_num(&tmp);
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free_num(&build);
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free_num(&base);
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if (readahead)
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*readahead = c;
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full_result.v.number = (dc_num)result;
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full_result.dc_type = DC_NUMBER;
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return full_result;
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}
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/* return the "length" of the number */
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int
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dc_numlen DC_DECLARG((value))
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dc_num value DC_DECLEND
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{
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bc_num num = CastNum(value);
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/* is this right??? */
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return num->n_len + num->n_scale;
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}
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/* return the scale factor of the passed dc_num
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* If discard_flag is true then deallocate the value after use.
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*/
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int
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dc_tell_scale DC_DECLARG((value, discard_flag))
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dc_num value DC_DECLSEP
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dc_boolean discard_flag DC_DECLEND
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{
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int kscale;
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kscale = CastNum(value)->n_scale;
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if (discard_flag)
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dc_free_num(&value);
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return kscale;
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}
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/* initialize the math subsystem */
|
|||
|
|
void
|
|||
|
|
dc_math_init DC_DECLVOID()
|
|||
|
|
{
|
|||
|
|
init_numbers();
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
/* print out a dc_num in output base obase to stdout;
|
|||
|
|
* if newline is true, terminate output with a '\n';
|
|||
|
|
* if discard_flag is true then deallocate the value after use
|
|||
|
|
*/
|
|||
|
|
void
|
|||
|
|
dc_out_num DC_DECLARG((value, obase, newline, discard_flag))
|
|||
|
|
dc_num value DC_DECLSEP
|
|||
|
|
int obase DC_DECLSEP
|
|||
|
|
dc_boolean newline DC_DECLSEP
|
|||
|
|
dc_boolean discard_flag DC_DECLEND
|
|||
|
|
{
|
|||
|
|
out_num(CastNum(value), obase, out_char);
|
|||
|
|
if (newline)
|
|||
|
|
out_char('\n');
|
|||
|
|
if (discard_flag)
|
|||
|
|
dc_free_num(&value);
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
|
|||
|
|
/* deallocate an instance of a dc_num */
|
|||
|
|
void
|
|||
|
|
dc_free_num DC_DECLARG((value))
|
|||
|
|
dc_num *value DC_DECLEND
|
|||
|
|
{
|
|||
|
|
free_num((bc_num *)value);
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
/* return a duplicate of the number in the passed value */
|
|||
|
|
/* The mismatched data types forces the caller to deal with
|
|||
|
|
* bad dc_type'd dc_data values, and makes it more convenient
|
|||
|
|
* for the caller to not have to do the grunge work of setting
|
|||
|
|
* up a dc_type result.
|
|||
|
|
*/
|
|||
|
|
dc_data
|
|||
|
|
dc_dup_num DC_DECLARG((value))
|
|||
|
|
dc_num value DC_DECLEND
|
|||
|
|
{
|
|||
|
|
dc_data result;
|
|||
|
|
|
|||
|
|
++CastNum(value)->n_refs;
|
|||
|
|
result.v.number = value;
|
|||
|
|
result.dc_type = DC_NUMBER;
|
|||
|
|
return result;
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
|
|||
|
|
|
|||
|
|
/*---------------------------------------------------------------------------\
|
|||
|
|
| The rest of this file consists of stubs for bc routines called by numeric.c|
|
|||
|
|
| so as to minimize the amount of bc code needed to build dc. |
|
|||
|
|
| The bulk of the code was just lifted straight out of the bc source. |
|
|||
|
|
\---------------------------------------------------------------------------*/
|
|||
|
|
|
|||
|
|
#ifdef HAVE_STDLIB_H
|
|||
|
|
# include <stdlib.h>
|
|||
|
|
#endif
|
|||
|
|
|
|||
|
|
#ifdef HAVE_STDARG_H
|
|||
|
|
# include <stdarg.h>
|
|||
|
|
#else
|
|||
|
|
# include <varargs.h>
|
|||
|
|
#endif
|
|||
|
|
|
|||
|
|
|
|||
|
|
int out_col = 0;
|
|||
|
|
|
|||
|
|
/* Output routines: Write a character CH to the standard output.
|
|||
|
|
It keeps track of the number of characters output and may
|
|||
|
|
break the output with a "\<cr>". */
|
|||
|
|
|
|||
|
|
void
|
|||
|
|
out_char (ch)
|
|||
|
|
char ch;
|
|||
|
|
{
|
|||
|
|
|
|||
|
|
if (ch == '\n')
|
|||
|
|
{
|
|||
|
|
out_col = 0;
|
|||
|
|
putchar ('\n');
|
|||
|
|
}
|
|||
|
|
else
|
|||
|
|
{
|
|||
|
|
out_col++;
|
|||
|
|
if (out_col == 70)
|
|||
|
|
{
|
|||
|
|
putchar ('\\');
|
|||
|
|
putchar ('\n');
|
|||
|
|
out_col = 1;
|
|||
|
|
}
|
|||
|
|
putchar (ch);
|
|||
|
|
}
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
/* Malloc could not get enough memory. */
|
|||
|
|
|
|||
|
|
void
|
|||
|
|
out_of_memory()
|
|||
|
|
{
|
|||
|
|
dc_memfail();
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
/* Runtime error will print a message and stop the machine. */
|
|||
|
|
|
|||
|
|
#ifdef HAVE_STDARG_H
|
|||
|
|
#ifdef __STDC__
|
|||
|
|
void
|
|||
|
|
rt_error (char *mesg, ...)
|
|||
|
|
#else
|
|||
|
|
void
|
|||
|
|
rt_error (mesg)
|
|||
|
|
char *mesg;
|
|||
|
|
#endif
|
|||
|
|
#else
|
|||
|
|
void
|
|||
|
|
rt_error (mesg, va_alist)
|
|||
|
|
char *mesg;
|
|||
|
|
#endif
|
|||
|
|
{
|
|||
|
|
va_list args;
|
|||
|
|
char error_mesg [255];
|
|||
|
|
|
|||
|
|
#ifdef HAVE_STDARG_H
|
|||
|
|
va_start (args, mesg);
|
|||
|
|
#else
|
|||
|
|
va_start (args);
|
|||
|
|
#endif
|
|||
|
|
vsprintf (error_mesg, mesg, args);
|
|||
|
|
va_end (args);
|
|||
|
|
|
|||
|
|
fprintf (stderr, "Runtime error: %s\n", error_mesg);
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
|
|||
|
|
/* A runtime warning tells of some action taken by the processor that
|
|||
|
|
may change the program execution but was not enough of a problem
|
|||
|
|
to stop the execution. */
|
|||
|
|
|
|||
|
|
#ifdef HAVE_STDARG_H
|
|||
|
|
#ifdef __STDC__
|
|||
|
|
void
|
|||
|
|
rt_warn (char *mesg, ...)
|
|||
|
|
#else
|
|||
|
|
void
|
|||
|
|
rt_warn (mesg)
|
|||
|
|
char *mesg;
|
|||
|
|
#endif
|
|||
|
|
#else
|
|||
|
|
void
|
|||
|
|
rt_warn (mesg, va_alist)
|
|||
|
|
char *mesg;
|
|||
|
|
#endif
|
|||
|
|
{
|
|||
|
|
va_list args;
|
|||
|
|
char error_mesg [255];
|
|||
|
|
|
|||
|
|
#ifdef HAVE_STDARG_H
|
|||
|
|
va_start (args, mesg);
|
|||
|
|
#else
|
|||
|
|
va_start (args);
|
|||
|
|
#endif
|
|||
|
|
vsprintf (error_mesg, mesg, args);
|
|||
|
|
va_end (args);
|
|||
|
|
|
|||
|
|
fprintf (stderr, "Runtime warning: %s\n", error_mesg);
|
|||
|
|
}
|