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-rw-r--r--contrib/bc/dc/numeric.c536
1 files changed, 536 insertions, 0 deletions
diff --git a/contrib/bc/dc/numeric.c b/contrib/bc/dc/numeric.c
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+++ b/contrib/bc/dc/numeric.c
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+/*
+ * interface dc to the bc numeric routines
+ *
+ * Copyright (C) 1994, 1997 Free Software Foundation, Inc.
+ *
+ * This program 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.
+ *
+ * This program 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 this program; if not, you can either send email to this
+ * program's author (see below) or write to: The Free Software Foundation,
+ * Inc.; 675 Mass Ave. Cambridge, MA 02139, USA.
+ */
+
+/* This should be the only module that knows the internals of type dc_num */
+/* In this particular implementation we just slather out some glue and
+ * make use of bc's numeric routines.
+ */
+
+#include "config.h"
+
+#include <stdio.h>
+#include <ctype.h>
+#include "bcdefs.h"
+#include "proto.h"
+#include "global.h"
+#include "dc.h"
+#include "dc-proto.h"
+
+/* there is no POSIX standard for dc, so we'll take the GNU definitions */
+int std_only = FALSE;
+
+/* convert an opaque dc_num into a real bc_num */
+#define CastNum(x) ((bc_num)(x))
+
+/* add two dc_nums, place into *result;
+ * return DC_SUCCESS on success, DC_DOMAIN_ERROR on domain error
+ */
+int
+dc_add DC_DECLARG((a, b, kscale, result))
+ dc_num a DC_DECLSEP
+ dc_num b DC_DECLSEP
+ int kscale DC_DECLSEP
+ dc_num *result DC_DECLEND
+{
+ init_num((bc_num *)result);
+ bc_add(CastNum(a), CastNum(b), (bc_num *)result, 0);
+ return DC_SUCCESS;
+}
+
+/* subtract two dc_nums, place into *result;
+ * return DC_SUCCESS on success, DC_DOMAIN_ERROR on domain error
+ */
+int
+dc_sub DC_DECLARG((a, b, kscale, result))
+ dc_num a DC_DECLSEP
+ dc_num b DC_DECLSEP
+ int kscale DC_DECLSEP
+ dc_num *result DC_DECLEND
+{
+ init_num((bc_num *)result);
+ bc_sub(CastNum(a), CastNum(b), (bc_num *)result, 0);
+ return DC_SUCCESS;
+}
+
+/* multiply two dc_nums, place into *result;
+ * return DC_SUCCESS on success, DC_DOMAIN_ERROR on domain error
+ */
+int
+dc_mul DC_DECLARG((a, b, kscale, result))
+ dc_num a DC_DECLSEP
+ dc_num b DC_DECLSEP
+ int kscale DC_DECLSEP
+ dc_num *result DC_DECLEND
+{
+ init_num((bc_num *)result);
+ bc_multiply(CastNum(a), CastNum(b), (bc_num *)result, kscale);
+ return DC_SUCCESS;
+}
+
+/* divide two dc_nums, place into *result;
+ * return DC_SUCCESS on success, DC_DOMAIN_ERROR on domain error
+ */
+int
+dc_div DC_DECLARG((a, b, kscale, result))
+ dc_num a DC_DECLSEP
+ dc_num b DC_DECLSEP
+ int kscale DC_DECLSEP
+ dc_num *result DC_DECLEND
+{
+ init_num((bc_num *)result);
+ if (bc_divide(CastNum(a), CastNum(b), (bc_num *)result, kscale)){
+ fprintf(stderr, "%s: divide by zero\n", progname);
+ return DC_DOMAIN_ERROR;
+ }
+ return DC_SUCCESS;
+}
+
+/* divide two dc_nums, place quotient into *quotient and remainder
+ * into *remainder;
+ * return DC_SUCCESS on success, DC_DOMAIN_ERROR on domain error
+ */
+int
+dc_divrem DC_DECLARG((a, b, kscale, quotient, remainder))
+ dc_num a DC_DECLSEP
+ dc_num b DC_DECLSEP
+ int kscale DC_DECLSEP
+ dc_num *quotient DC_DECLSEP
+ dc_num *remainder DC_DECLEND
+{
+ init_num((bc_num *)quotient);
+ init_num((bc_num *)remainder);
+ if (bc_divmod(CastNum(a), CastNum(b),
+ (bc_num *)quotient, (bc_num *)remainder, kscale)){
+ fprintf(stderr, "%s: divide by zero\n", progname);
+ return DC_DOMAIN_ERROR;
+ }
+ return DC_SUCCESS;
+}
+
+/* place the reminder of dividing a by b into *result;
+ * return DC_SUCCESS on success, DC_DOMAIN_ERROR on domain error
+ */
+int
+dc_rem DC_DECLARG((a, b, kscale, result))
+ dc_num a DC_DECLSEP
+ dc_num b DC_DECLSEP
+ int kscale DC_DECLSEP
+ dc_num *result DC_DECLEND
+{
+ init_num((bc_num *)result);
+ if (bc_modulo(CastNum(a), CastNum(b), (bc_num *)result, kscale)){
+ fprintf(stderr, "%s: remainder by zero\n", progname);
+ return DC_DOMAIN_ERROR;
+ }
+ return DC_SUCCESS;
+}
+
+int
+dc_modexp DC_DECLARG((base, expo, mod, kscale, result))
+ dc_num base DC_DECLSEP
+ dc_num expo DC_DECLSEP
+ dc_num mod DC_DECLSEP
+ int kscale DC_DECLSEP
+ dc_num *result DC_DECLEND
+{
+ init_num((bc_num *)result);
+ if (bc_raisemod(CastNum(base), CastNum(expo), CastNum(mod),
+ (bc_num *)result, kscale)){
+ if (is_zero(CastNum(mod)))
+ fprintf(stderr, "%s: remainder by zero\n", progname);
+ return DC_DOMAIN_ERROR;
+ }
+ return DC_SUCCESS;
+}
+
+/* place the result of exponentiationg a by b into *result;
+ * return DC_SUCCESS on success, DC_DOMAIN_ERROR on domain error
+ */
+int
+dc_exp DC_DECLARG((a, b, kscale, result))
+ dc_num a DC_DECLSEP
+ dc_num b DC_DECLSEP
+ int kscale DC_DECLSEP
+ dc_num *result DC_DECLEND
+{
+ init_num((bc_num *)result);
+ bc_raise(CastNum(a), CastNum(b), (bc_num *)result, kscale);
+ return DC_SUCCESS;
+}
+
+/* take the square root of the value, place into *result;
+ * return DC_SUCCESS on success, DC_DOMAIN_ERROR on domain error
+ */
+int
+dc_sqrt DC_DECLARG((value, kscale, result))
+ dc_num value DC_DECLSEP
+ int kscale DC_DECLSEP
+ dc_num *result DC_DECLEND
+{
+ bc_num tmp;
+
+ tmp = copy_num(CastNum(value));
+ if (!bc_sqrt(&tmp, kscale)){
+ fprintf(stderr, "%s: square root of negative number\n", progname);
+ free_num(&tmp);
+ return DC_DOMAIN_ERROR;
+ }
+ *((bc_num *)result) = tmp;
+ return DC_SUCCESS;
+}
+
+/* compare dc_nums a and b;
+ * return a negative value if a < b;
+ * return a positive value if a > b;
+ * return zero value if a == b
+ */
+int
+dc_compare DC_DECLARG((a, b))
+ dc_num a DC_DECLSEP
+ dc_num b DC_DECLEND
+{
+ return bc_compare(CastNum(a), CastNum(b));
+}
+
+/* attempt to convert a dc_num to its corresponding int value
+ * If discard_flag is true then deallocate the value after use.
+ */
+int
+dc_num2int DC_DECLARG((value, discard_flag))
+ dc_num value DC_DECLSEP
+ dc_boolean discard_flag DC_DECLEND
+{
+ long result;
+
+ result = num2long(CastNum(value));
+ if (discard_flag)
+ dc_free_num(&value);
+ return (int)result;
+}
+
+/* convert a C integer value into a dc_num */
+/* For convenience of the caller, package the dc_num
+ * into a dc_data result.
+ */
+dc_data
+dc_int2data DC_DECLARG((value))
+ int value DC_DECLEND
+{
+ dc_data result;
+
+ init_num((bc_num *)&result.v.number);
+ int2num((bc_num *)&result.v.number, value);
+ result.dc_type = DC_NUMBER;
+ return result;
+}
+
+/* get a dc_num from some input stream;
+ * input is a function which knows how to read the desired input stream
+ * ibase is the input base (2<=ibase<=DC_IBASE_MAX)
+ * *readahead will be set to the readahead character consumed while
+ * looking for the end-of-number
+ */
+/* For convenience of the caller, package the dc_num
+ * into a dc_data result.
+ */
+dc_data
+dc_getnum DC_DECLARG((input, ibase, readahead))
+ int (*input) DC_PROTO((void)) DC_DECLSEP
+ int ibase DC_DECLSEP
+ int *readahead DC_DECLEND
+{
+ bc_num base;
+ bc_num result;
+ bc_num build;
+ bc_num tmp;
+ bc_num divisor;
+ dc_data full_result;
+ int negative = 0;
+ int digit;
+ int decimal;
+ int c;
+
+ init_num(&tmp);
+ init_num(&build);
+ init_num(&base);
+ result = copy_num(_zero_);
+ int2num(&base, ibase);
+ c = (*input)();
+ while (isspace(c))
+ c = (*input)();
+ if (c == '_' || c == '-'){
+ negative = c;
+ c = (*input)();
+ }else if (c == '+'){
+ c = (*input)();
+ }
+ while (isspace(c))
+ c = (*input)();
+ for (;;){
+ if (isdigit(c))
+ digit = c - '0';
+ else if ('A' <= c && c <= 'F')
+ digit = 10 + c - 'A';
+ else
+ break;
+ c = (*input)();
+ int2num(&tmp, digit);
+ bc_multiply(result, base, &result, 0);
+ bc_add(result, tmp, &result, 0);
+ }
+ if (c == '.'){
+ free_num(&build);
+ free_num(&tmp);
+ divisor = copy_num(_one_);
+ build = copy_num(_zero_);
+ decimal = 0;
+ for (;;){
+ c = (*input)();
+ if (isdigit(c))
+ digit = c - '0';
+ else if ('A' <= c && c <= 'F')
+ digit = 10 + c - 'A';
+ else
+ break;
+ int2num(&tmp, digit);
+ bc_multiply(build, base, &build, 0);
+ bc_add(build, tmp, &build, 0);
+ bc_multiply(divisor, base, &divisor, 0);
+ ++decimal;
+ }
+ bc_divide(build, divisor, &build, decimal);
+ bc_add(result, build, &result, 0);
+ }
+ /* Final work. */
+ if (negative)
+ bc_sub(_zero_, result, &result, 0);
+
+ free_num(&tmp);
+ free_num(&build);
+ free_num(&base);
+ if (readahead)
+ *readahead = c;
+ full_result.v.number = (dc_num)result;
+ full_result.dc_type = DC_NUMBER;
+ return full_result;
+}
+
+
+/* return the "length" of the number */
+int
+dc_numlen DC_DECLARG((value))
+ dc_num value DC_DECLEND
+{
+ bc_num num = CastNum(value);
+
+ /* is this right??? */
+ return num->n_len + num->n_scale;
+}
+
+/* return the scale factor of the passed dc_num
+ * If discard_flag is true then deallocate the value after use.
+ */
+int
+dc_tell_scale DC_DECLARG((value, discard_flag))
+ dc_num value DC_DECLSEP
+ dc_boolean discard_flag DC_DECLEND
+{
+ int kscale;
+
+ kscale = CastNum(value)->n_scale;
+ if (discard_flag)
+ dc_free_num(&value);
+ return kscale;
+}
+
+
+/* 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);
+}
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