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expr: support arbitrary-precision arithmetic
* src/Makefile.am (expr_LDADD): Link expr against GNU MP. * doc/coreutils.texi (expr invocation): Describe --bignum, --no-bignum. Explain the new arbitrary-precision functionality. * NEWS: Indicate that arbitrary-precision arithmetic is now supported in expr. * src/expr.c (enum valtype): Added mp_integer, signifying a GNU MP number. (usage): Document the new options --bignum and --no-bignum which force and prohibit the use of arbitrary-precision arithmetic, respectively. (long_options): data structure for getopt_long, which we need to use to parse the options mentioned above. (main): parse these options with getopt_long instead of parse_long_options. (valinfo): Downgrade the numeric member of the union from intmax_t to signed long, since MP lacks functions for promoting an intmax_t to an arbitrary-precision quantity. (enum arithmetic_mode): Represents the current choice between --bignum, --no-bignum and the default (automatically switch from one to the other if needed). (integer_overflow): issue a more explicit error message indicating that MP is not available. (string_too_long): new function, emits a fatal error message for the case where an argument to the 'index' expression is too long for a string offset to be represented. (int_value): With --bignum, create the value as mp_integer rather than plain integer. (substr_value): factored out of eval6; implements "substr". (freev): also destroy mp_integer values. Check that no mp_integer values exist if --no-bignum was specified. (printv, null, tostring): support mp_integer. (toint): new funtion for converting from string or mp_integer to integer. (getsize): extracts a size_t value from a VALUE object; used to implement substr. (promote): promotes a value from integer to mp_integer. (domult, dodivide): functions for multiplication and division, factored out of eval4. (doadd): addition/subraction function, factpred out of eval3. (eval3): support mp_integer types; call doadd. (eval4): support mp_integer types; call domult, dodivide. (eval6): support mp_integer offsets and lengths for "substr" and "index". * TODO: Mention that expr supports arbitrary-precision arithmetic, and suggest that this might also be a good idea for seq. * AUTHORS (expr): Add James Youngman.
This commit is contained in:
committed by
Jim Meyering
parent
d9207b48a3
commit
f65cafd67b
2
AUTHORS
2
AUTHORS
@@ -25,7 +25,7 @@ du: Torbjörn Granlund, David MacKenzie, Paul Eggert, Jim Meyering
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echo: Brian Fox, Chet Ramey
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env: Richard Mlynarik, David MacKenzie
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expand: David MacKenzie
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expr: Mike Parker
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expr: Mike Parker, James Youngman
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factor: Paul Rubin
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false: Jim Meyering
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fmt: Ross Paterson
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5
NEWS
5
NEWS
@@ -21,8 +21,9 @@ GNU coreutils NEWS -*- outline -*-
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With this new option, after a short read, dd repeatedly calls read,
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until it fills the incomplete block, reaches EOF, or encounters an error.
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factor accepts arbitrarily large numbers and factors them using
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Pollard's rho algorithm.
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If the GNU MP library is available at configure time, factor and
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expr support arbitrarily large numbers. Pollard's rho algorithm is
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used to factor large numbers.
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ls now colorizes files with capabilities if libcap is available
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5
TODO
5
TODO
@@ -155,6 +155,11 @@ remove all uses of the `register' keyword: Done. add a maint.mk rule
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remove or adjust chown's --changes option, since it
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can't always do what it currently says it does.
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Support arbitrary-precision arithmetic in those tools for which it
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makes sense. Factor and expr already support this via libgmp.
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The "test" program is covered via its string-based comparison of
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integers. To be converted: seq.
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Adapt tools like wc, tr, fmt, etc. (most of the textutils) to be
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multibyte aware. The problem is that I want to avoid duplicating
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significant blocks of logic, yet I also want to incur only minimal
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@@ -11066,8 +11066,21 @@ may be used for grouping in the usual manner. You must quote
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parentheses and many operators to avoid the shell evaluating them,
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however.
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The only options are @option{--help} and @option{--version}. @xref{Common
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options}. Options must precede operands.
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By default, @command{expr} performs operations using native arithmetic
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types, but if a numeric overflow occurs and @command{expr} was built
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with support for the GNU MP library, @command{expr}, it will switch to
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using arbitrary-precision arithmetic.
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Apart from @option{--help} and @option{--version} (@pxref{Common
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options}), the following options are supported:
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@table @samp
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@item --bignum
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Forces the use of the GNU MP library.
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@item --no-bignum
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Forces the use of native operations only. In the event of a numeric
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overflow, @command{expr} will fail, even if GNU MP is available.
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@end table
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@cindex exit status of @command{expr}
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Exit status:
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@@ -129,6 +129,9 @@ seq_LDADD = $(LDADD) $(POW_LIB)
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# and the `nanosleep' reference in lib/xnanosleep.c.
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nanosec_libs = $(LDADD) $(POW_LIB) $(LIB_NANOSLEEP)
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# for various GMP functions
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expr_LDADD = $(LDADD) $(LIB_GMP)
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# for various GMP functions
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factor_LDADD = $(LDADD) $(LIB_GMP)
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657
src/expr.c
657
src/expr.c
@@ -15,6 +15,7 @@
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along with this program. If not, see <http://www.gnu.org/licenses/>. */
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/* Author: Mike Parker.
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Modified for arbitrary-precision calculation by James Youngman.
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This program evaluates expressions. Each token (operator, operand,
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parenthesis) of the expression must be a seperate argument. The
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@@ -32,8 +33,11 @@
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#include <sys/types.h>
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#include "system.h"
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#include <assert.h>
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#include <regex.h>
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#include "long-options.h"
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#if HAVE_GMP
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#include <gmp.h>
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#endif
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#include "error.h"
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#include "quotearg.h"
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#include "strnumcmp.h"
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@@ -42,7 +46,7 @@
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/* The official name of this program (e.g., no `g' prefix). */
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#define PROGRAM_NAME "expr"
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#define AUTHORS proper_name ("Mike Parker")
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#define AUTHORS proper_name ("Mike Parker"), proper_name ("James Youngman")
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/* Exit statuses. */
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enum
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@@ -57,10 +61,14 @@ enum
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EXPR_FAILURE
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};
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/* The kinds of value we can have. */
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/* The kinds of value we can have.
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In the comments below, a variable is described as "arithmetic" if
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it is either integer or mp_integer. Variables are of type mp_integer
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only if GNU MP is available, but the type designator is always defined. */
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enum valtype
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{
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integer,
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mp_integer,
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string
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};
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typedef enum valtype TYPE;
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@@ -71,7 +79,12 @@ struct valinfo
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TYPE type; /* Which kind. */
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union
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{ /* The value itself. */
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intmax_t i;
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/* We could use intmax_t but that would integrate less well with GMP,
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since GMP has mpz_set_si but no intmax_t equivalent. */
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signed long int i;
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#if HAVE_GMP
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mpz_t z;
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#endif
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char *s;
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} u;
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};
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@@ -85,6 +98,34 @@ static bool nomoreargs (void);
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static bool null (VALUE *v);
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static void printv (VALUE *v);
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/* Arithmetic is done in one of three modes.
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The --bignum option forces all arithmetic to use bignums other than
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string indexing (mode==MP_ALWAYS). The --no-bignum option forces
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all arithmetic to use native types rather than bignums
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(mode==MP_NEVER).
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The default mode is MP_AUTO if GMP is available and MP_NEVER if
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not. Most functions will process a bignum if one is found, but
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will not convert a native integer to a string if the mode is
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MP_NEVER. */
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enum arithmetic_mode
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{
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MP_NEVER, /* Never use bignums */
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#if HAVE_GMP
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MP_ALWAYS, /* Always use bignums. */
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MP_AUTO, /* Switch if result would otherwise overflow */
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#endif
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};
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static enum arithmetic_mode mode =
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#if HAVE_GMP
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MP_AUTO
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#else
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MP_NEVER
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#endif
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;
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void
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usage (int status)
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{
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@@ -99,6 +140,10 @@ Usage: %s EXPRESSION\n\
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"),
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program_name, program_name);
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putchar ('\n');
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fputs (_("\
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--bignum always use arbitrary-precision arithmetic\n\
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--no-bignum always use single-precision arithmetic\n"),
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stdout);
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fputs (HELP_OPTION_DESCRIPTION, stdout);
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fputs (VERSION_OPTION_DESCRIPTION, stdout);
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fputs (_("\
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@@ -175,13 +220,37 @@ syntax_error (void)
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static void
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integer_overflow (char op)
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{
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error (EXPR_FAILURE, ERANGE, "%c", op);
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error (EXPR_FAILURE, 0,
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_("arithmetic operation %c produced an out of range value, "
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"but arbitrary-precision arithmetic is not available"), op);
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}
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static void
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string_too_long (void)
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{
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error (EXPR_FAILURE, ERANGE, _("string too long"));
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}
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enum
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{
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USE_BIGNUM = CHAR_MAX + 1,
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NO_USE_BIGNUM
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};
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static struct option const long_options[] =
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{
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{"bignum", no_argument, NULL, USE_BIGNUM},
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{"no-bignum", no_argument, NULL, NO_USE_BIGNUM},
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{GETOPT_HELP_OPTION_DECL},
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{GETOPT_VERSION_OPTION_DECL},
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{NULL, 0, NULL, 0}
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};
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int
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main (int argc, char **argv)
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{
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VALUE *v;
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int c;
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initialize_main (&argc, &argv);
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set_program_name (argv[0]);
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@@ -192,23 +261,48 @@ main (int argc, char **argv)
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initialize_exit_failure (EXPR_FAILURE);
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atexit (close_stdout);
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parse_long_options (argc, argv, PROGRAM_NAME, PACKAGE_NAME, VERSION,
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usage, AUTHORS, (char const *) NULL);
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/* The above handles --help and --version.
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Since there is no other invocation of getopt, handle `--' here. */
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if (argc > 1 && STREQ (argv[1], "--"))
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/* The argument -0 should not result in an error message. */
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opterr = 0;
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while ((c = getopt_long (argc, argv, "+", long_options, NULL)) != -1)
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{
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--argc;
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++argv;
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/* "expr -0" should interpret the -0 as an integer argument.
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arguments like --foo should also be interpreted as a string
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argument to be "evaluated".
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*/
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if ('?' == c)
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{
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--optind;
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break;
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}
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else
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switch (c)
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{
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case USE_BIGNUM:
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#if HAVE_GMP
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mode = MP_ALWAYS;
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#else
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error (0, 0, _("arbitrary-precision support is not available"));
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#endif
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break;
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case NO_USE_BIGNUM:
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mode = MP_NEVER;
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break;
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case_GETOPT_HELP_CHAR;
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case_GETOPT_VERSION_CHAR (PROGRAM_NAME, AUTHORS);
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}
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}
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if (argc <= 1)
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if (argc <= optind)
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{
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error (0, 0, _("missing operand"));
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usage (EXPR_INVALID);
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}
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args = argv + 1;
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args = argv + optind;
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v = eval (true);
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if (!nomoreargs ())
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@@ -221,9 +315,19 @@ main (int argc, char **argv)
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/* Return a VALUE for I. */
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static VALUE *
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int_value (intmax_t i)
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int_value (long int i)
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{
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VALUE *v = xmalloc (sizeof *v);
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#if HAVE_GMP
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if (mode == MP_ALWAYS)
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{
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/* all integer values are handled as bignums. */
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mpz_init_set_si (v->u.z, i);
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v->type = mp_integer;
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return v;
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}
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#endif
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v->type = integer;
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v->u.i = i;
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return v;
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@@ -240,13 +344,42 @@ str_value (char const *s)
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return v;
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}
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static VALUE *
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substr_value (char const *s, size_t len, size_t pos, size_t nchars_wanted)
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{
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if (pos >= len)
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return str_value ("");
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else
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{
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VALUE *v = xmalloc (sizeof *v);
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size_t vlen = MIN (nchars_wanted, len - pos + 1);
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char *vlim;
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v->type = string;
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v->u.s = xmalloc (vlen + 1);
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vlim = mempcpy (v->u.s, s + pos, vlen);
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*vlim = '\0';
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return v;
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}
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}
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/* Free VALUE V, including structure components. */
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static void
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freev (VALUE *v)
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{
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if (v->type == string)
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free (v->u.s);
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{
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free (v->u.s);
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}
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else if (v->type == mp_integer)
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{
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assert (mode != MP_NEVER);
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#if HAVE_GMP
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mpz_clear (v->u.z);
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#endif
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}
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free (v);
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}
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@@ -255,22 +388,24 @@ freev (VALUE *v)
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static void
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printv (VALUE *v)
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{
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char *p;
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char buf[INT_BUFSIZE_BOUND (intmax_t)];
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switch (v->type)
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{
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case integer:
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p = imaxtostr (v->u.i, buf);
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printf ("%ld\n", v->u.i);
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break;
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case string:
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p = v->u.s;
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puts (v->u.s);
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break;
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#if HAVE_GMP
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case mp_integer:
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mpz_out_str (stdout, 10, v->u.z);
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putchar ('\n');
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break;
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#endif
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default:
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abort ();
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}
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puts (p);
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}
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/* Return true if V is a null-string or zero-number. */
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@@ -282,6 +417,10 @@ null (VALUE *v)
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{
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case integer:
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return v->u.i == 0;
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#if HAVE_GMP
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case mp_integer:
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return mpz_sgn (v->u.z) == 0;
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#endif
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case string:
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{
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char const *cp = v->u.s;
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@@ -324,14 +463,29 @@ looks_like_integer (char const *cp)
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static void
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tostring (VALUE *v)
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{
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char buf[INT_BUFSIZE_BOUND (intmax_t)];
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char buf[INT_BUFSIZE_BOUND (long int)];
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switch (v->type)
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{
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case integer:
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v->u.s = xstrdup (imaxtostr (v->u.i, buf));
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snprintf (buf, sizeof buf, "%ld", v->u.i);
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v->u.s = xstrdup (buf);
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v->type = string;
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break;
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#if HAVE_GMP
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case mp_integer:
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{
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char *s = mpz_get_str (NULL, 10, v->u.z);
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if (!s)
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{
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xalloc_die ();
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}
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mpz_clear (v->u.z);
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v->u.s = s;
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v->type = string;
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}
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break;
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#endif
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case string:
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break;
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default:
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@@ -339,7 +493,8 @@ tostring (VALUE *v)
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}
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}
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/* Coerce V to an integer value. Return true on success, false on failure. */
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/* Coerce V to an arithmetic value.
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Return true on success, false on failure. */
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static bool
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toarith (VALUE *v)
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@@ -347,18 +502,40 @@ toarith (VALUE *v)
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switch (v->type)
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{
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case integer:
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case mp_integer:
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return true;
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case string:
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{
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intmax_t value;
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long int value;
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if (! looks_like_integer (v->u.s))
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return false;
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if (xstrtoimax (v->u.s, NULL, 10, &value, NULL) != LONGINT_OK)
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error (EXPR_FAILURE, ERANGE, "%s", v->u.s);
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free (v->u.s);
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v->u.i = value;
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v->type = integer;
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if (xstrtol (v->u.s, NULL, 10, &value, NULL) != LONGINT_OK)
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{
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#if HAVE_GMP
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if (mode != MP_NEVER)
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{
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char *s = v->u.s;
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if (mpz_init_set_str (v->u.z, s, 10))
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abort (); /* Bug in looks_like_integer, perhaps. */
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v->type = mp_integer;
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free (s);
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}
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else
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{
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error (EXPR_FAILURE, ERANGE, "%s", v->u.s);
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}
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#else
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error (EXPR_FAILURE, ERANGE, "%s", v->u.s);
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#endif
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}
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else
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{
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free (v->u.s);
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v->u.i = value;
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||||
v->type = integer;
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}
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return true;
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||||
}
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default:
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@@ -366,6 +543,85 @@ toarith (VALUE *v)
|
||||
}
|
||||
}
|
||||
|
||||
/* Convert V into an integer (that is, a non-arbitrary-precision value)
|
||||
Return true on success, false on failure. */
|
||||
static bool
|
||||
toint (VALUE *v)
|
||||
{
|
||||
if (!toarith (v))
|
||||
return false;
|
||||
#if HAVE_GMP
|
||||
if (v->type == mp_integer)
|
||||
{
|
||||
if (mpz_fits_slong_p (v->u.z))
|
||||
{
|
||||
long value = mpz_get_si (v->u.z);
|
||||
mpz_clear (v->u.z);
|
||||
v->u.i = value;
|
||||
v->type = integer;
|
||||
}
|
||||
else
|
||||
return false; /* value was too big. */
|
||||
}
|
||||
#else
|
||||
if (v->type == mp_integer)
|
||||
abort (); /* should not happen. */
|
||||
#endif
|
||||
return true;
|
||||
}
|
||||
|
||||
/* Extract a size_t value from a positive arithmetic value, V.
|
||||
The extracted value is stored in *VAL. */
|
||||
static bool
|
||||
getsize (const VALUE *v, size_t *val, bool *negative)
|
||||
{
|
||||
if (v->type == integer)
|
||||
{
|
||||
if (v->u.i < 0)
|
||||
{
|
||||
*negative = true;
|
||||
return false;
|
||||
}
|
||||
else
|
||||
{
|
||||
*negative = false;
|
||||
*val = v->u.i;
|
||||
return true;
|
||||
}
|
||||
}
|
||||
else if (v->type == mp_integer)
|
||||
{
|
||||
#if HAVE_GMP
|
||||
if (mpz_sgn (v->u.z) < 0)
|
||||
{
|
||||
*negative = true;
|
||||
return false;
|
||||
}
|
||||
else if (mpz_fits_ulong_p (v->u.z))
|
||||
{
|
||||
unsigned long ul;
|
||||
ul = mpz_get_ui (v->u.z);
|
||||
*val = ul;
|
||||
return true;
|
||||
}
|
||||
else
|
||||
{
|
||||
*negative = false;
|
||||
return false;
|
||||
}
|
||||
#else
|
||||
abort ();
|
||||
#endif
|
||||
|
||||
}
|
||||
else
|
||||
{
|
||||
abort (); /* should not pass a string. */
|
||||
}
|
||||
}
|
||||
|
||||
|
||||
|
||||
/* Return true and advance if the next token matches STR exactly.
|
||||
STR must not be NULL. */
|
||||
|
||||
@@ -544,13 +800,41 @@ eval6 (bool evaluate)
|
||||
}
|
||||
else if (nextarg ("index"))
|
||||
{
|
||||
size_t pos, len;
|
||||
|
||||
l = eval6 (evaluate);
|
||||
r = eval6 (evaluate);
|
||||
tostring (l);
|
||||
tostring (r);
|
||||
v = int_value (strcspn (l->u.s, r->u.s) + 1);
|
||||
if (v->u.i == strlen (l->u.s) + 1)
|
||||
v->u.i = 0;
|
||||
pos = strcspn (l->u.s, r->u.s);
|
||||
len = strlen (l->u.s);
|
||||
if (pos == len)
|
||||
{
|
||||
v = int_value (0);
|
||||
}
|
||||
else
|
||||
{
|
||||
if (pos < LONG_MAX)
|
||||
{
|
||||
v = int_value (pos + 1);
|
||||
}
|
||||
else
|
||||
{
|
||||
#if HAVE_GMP
|
||||
if (mode != MP_NEVER
|
||||
&& pos < ULONG_MAX)
|
||||
{
|
||||
v = xmalloc (sizeof *v);
|
||||
mpz_init_set_ui (v->u.z, pos+1);
|
||||
v->type = mp_integer;
|
||||
}
|
||||
else
|
||||
string_too_long ();
|
||||
#else
|
||||
string_too_long ();
|
||||
#endif
|
||||
}
|
||||
}
|
||||
freev (l);
|
||||
freev (r);
|
||||
return v;
|
||||
@@ -563,19 +847,32 @@ eval6 (bool evaluate)
|
||||
i2 = eval6 (evaluate);
|
||||
tostring (l);
|
||||
llen = strlen (l->u.s);
|
||||
if (!toarith (i1) || !toarith (i2)
|
||||
|| llen < i1->u.i
|
||||
|| i1->u.i <= 0 || i2->u.i <= 0)
|
||||
|
||||
if (!toarith (i1) || !toarith (i2))
|
||||
v = str_value ("");
|
||||
else
|
||||
{
|
||||
size_t vlen = MIN (i2->u.i, llen - i1->u.i + 1);
|
||||
char *vlim;
|
||||
v = xmalloc (sizeof *v);
|
||||
v->type = string;
|
||||
v->u.s = xmalloc (vlen + 1);
|
||||
vlim = mempcpy (v->u.s, l->u.s + i1->u.i - 1, vlen);
|
||||
*vlim = '\0';
|
||||
size_t pos, len;
|
||||
bool negative = false;
|
||||
|
||||
if (getsize (i1, &pos, &negative))
|
||||
if (getsize (i2, &len, &negative))
|
||||
if (pos == 0 || len == 0)
|
||||
v = str_value ("");
|
||||
else
|
||||
v = substr_value (l->u.s, llen, pos-1, len);
|
||||
else
|
||||
if (negative)
|
||||
v = str_value ("");
|
||||
else
|
||||
error (EXPR_FAILURE, ERANGE,
|
||||
_("string offset is too large"));
|
||||
else
|
||||
if (negative)
|
||||
v = str_value ("");
|
||||
else
|
||||
error (EXPR_FAILURE, ERANGE,
|
||||
_("substring length too large"));
|
||||
}
|
||||
freev (l);
|
||||
freev (i1);
|
||||
@@ -618,6 +915,171 @@ eval5 (bool evaluate)
|
||||
}
|
||||
}
|
||||
|
||||
|
||||
#if HAVE_GMP
|
||||
static void
|
||||
promote (VALUE *x)
|
||||
{
|
||||
if (x->type == integer)
|
||||
mpz_init_set_si (x->u.z, x->u.i);
|
||||
}
|
||||
#endif
|
||||
|
||||
/* L = L * R. Both L and R are arithmetic. */
|
||||
static void
|
||||
domult (VALUE *l, VALUE *r)
|
||||
{
|
||||
if (l->type == integer && r->type == integer)
|
||||
{
|
||||
long int val = 0;
|
||||
val = l->u.i * r->u.i;
|
||||
if (! (l->u.i == 0 || r->u.i == 0
|
||||
|| ((val < 0) == ((l->u.i < 0) ^ (r->u.i < 0))
|
||||
&& val / l->u.i == r->u.i)))
|
||||
{
|
||||
/* Result would (did) overflow. Handle with MP if available. */
|
||||
if (mode != MP_NEVER)
|
||||
{
|
||||
#if HAVE_GMP
|
||||
mpz_init_set_si (l->u.z, l->u.i);
|
||||
mpz_mul_si (l->u.z, l->u.z, r->u.i); /* L*=R */
|
||||
l->type = mp_integer;
|
||||
#endif
|
||||
}
|
||||
else
|
||||
{
|
||||
integer_overflow ('*');
|
||||
}
|
||||
}
|
||||
else
|
||||
{
|
||||
l->u.i = val;
|
||||
}
|
||||
}
|
||||
else
|
||||
{
|
||||
/* At least one operand is already mp_integer, so promote the other. */
|
||||
#if HAVE_GMP
|
||||
/* We could use mpz_mul_si here if R is not already mp_integer,
|
||||
but for the moment we'll try to minimise code paths. */
|
||||
if (l->type == integer)
|
||||
mpz_init_set_si (l->u.z, l->u.i);
|
||||
if (r->type == integer)
|
||||
mpz_init_set_si (r->u.z, r->u.i);
|
||||
l->type = r->type = mp_integer;
|
||||
mpz_mul (l->u.z, l->u.z, r->u.z); /* L*=R */
|
||||
#else
|
||||
abort ();
|
||||
#endif
|
||||
}
|
||||
}
|
||||
|
||||
/* L = L / R or (if WANT_MODULUS) L = L % R */
|
||||
static void
|
||||
dodivide (VALUE *l, VALUE *r, bool want_modulus)
|
||||
{
|
||||
if (r->type == integer && r->u.i == 0)
|
||||
error (EXPR_INVALID, 0, _("division by zero"));
|
||||
#if HAVE_GMP
|
||||
if (r->type == mp_integer && mpz_sgn (r->u.z) == 0)
|
||||
error (EXPR_INVALID, 0, _("division by zero"));
|
||||
#endif
|
||||
if (l->type == integer && r->type == integer)
|
||||
{
|
||||
if (l->u.i < - INT_MAX && r->u.i == -1)
|
||||
{
|
||||
/* Some x86-style hosts raise an exception for
|
||||
INT_MIN / -1 and INT_MIN % -1, so handle these
|
||||
problematic cases specially. */
|
||||
if (want_modulus)
|
||||
{
|
||||
/* X mod -1 is zero for all negative X.
|
||||
Although strictly this is implementation-defined,
|
||||
we don't want to coredump, so we avoid the calculation. */
|
||||
l->u.i = 0;
|
||||
return;
|
||||
}
|
||||
else
|
||||
{
|
||||
if (mode != MP_NEVER)
|
||||
{
|
||||
#if HAVE_GMP
|
||||
/* Handle the case by promoting. */
|
||||
mpz_init_set_si (l->u.z, l->u.i);
|
||||
l->type = mp_integer;
|
||||
#endif
|
||||
}
|
||||
else
|
||||
{
|
||||
integer_overflow ('/');
|
||||
}
|
||||
}
|
||||
}
|
||||
else
|
||||
{
|
||||
l->u.i = want_modulus ? l->u.i % r->u.i : l->u.i / r->u.i;
|
||||
return;
|
||||
}
|
||||
}
|
||||
/* If we get to here, at least one operand is mp_integer
|
||||
and R is not 0. */
|
||||
#if HAVE_GMP
|
||||
{
|
||||
bool round_up = false; /* do we round up? */
|
||||
int sign_l, sign_r;
|
||||
promote (l);
|
||||
promote (r);
|
||||
sign_l = mpz_sgn (l->u.z);
|
||||
sign_r = mpz_sgn (r->u.z);
|
||||
|
||||
if (!want_modulus)
|
||||
{
|
||||
if (!sign_l)
|
||||
{
|
||||
mpz_set_si (l->u.z, 0);
|
||||
}
|
||||
else if (sign_l < 0 || sign_r < 0)
|
||||
{
|
||||
/* At least one operand is negative. For integer arithmetic,
|
||||
it's platform-dependent if the operation rounds up or down.
|
||||
We mirror what the implementation does. */
|
||||
switch ((3*sign_l) / (2*sign_r))
|
||||
{
|
||||
case 2: /* round toward +inf. */
|
||||
case -1: /* round toward +inf. */
|
||||
mpz_cdiv_q (l->u.z, l->u.z, r->u.z);
|
||||
break;
|
||||
case -2: /* round toward -inf. */
|
||||
case 1: /* round toward -inf */
|
||||
mpz_fdiv_q (l->u.z, l->u.z, r->u.z);
|
||||
break;
|
||||
default:
|
||||
abort ();
|
||||
}
|
||||
}
|
||||
else
|
||||
{
|
||||
/* Both operands positive. Round toward -inf. */
|
||||
mpz_fdiv_q (l->u.z, l->u.z, r->u.z);
|
||||
}
|
||||
}
|
||||
else
|
||||
{
|
||||
mpz_mod (l->u.z, l->u.z, r->u.z); /* L = L % R */
|
||||
|
||||
/* If either operand is negative, it's platform-dependent if
|
||||
the remainer is positive or negative. We mirror what the
|
||||
implementation does. */
|
||||
if (sign_l % sign_r < 0)
|
||||
mpz_neg (l->u.z, l->u.z); /* L = (-L) */
|
||||
}
|
||||
}
|
||||
#else
|
||||
abort ();
|
||||
#endif
|
||||
}
|
||||
|
||||
|
||||
/* Handle *, /, % operators. */
|
||||
|
||||
static VALUE *
|
||||
@@ -626,7 +1088,6 @@ eval4 (bool evaluate)
|
||||
VALUE *l;
|
||||
VALUE *r;
|
||||
enum { multiply, divide, mod } fxn;
|
||||
intmax_t val = 0;
|
||||
|
||||
#ifdef EVAL_TRACE
|
||||
trace ("eval4");
|
||||
@@ -647,37 +1108,71 @@ eval4 (bool evaluate)
|
||||
{
|
||||
if (!toarith (l) || !toarith (r))
|
||||
error (EXPR_INVALID, 0, _("non-numeric argument"));
|
||||
if (fxn == multiply)
|
||||
switch (fxn)
|
||||
{
|
||||
val = l->u.i * r->u.i;
|
||||
if (! (l->u.i == 0 || r->u.i == 0
|
||||
|| ((val < 0) == ((l->u.i < 0) ^ (r->u.i < 0))
|
||||
&& val / l->u.i == r->u.i)))
|
||||
integer_overflow ('*');
|
||||
}
|
||||
else
|
||||
{
|
||||
if (r->u.i == 0)
|
||||
error (EXPR_INVALID, 0, _("division by zero"));
|
||||
if (l->u.i < - INTMAX_MAX && r->u.i == -1)
|
||||
{
|
||||
/* Some x86-style hosts raise an exception for
|
||||
INT_MIN / -1 and INT_MIN % -1, so handle these
|
||||
problematic cases specially. */
|
||||
if (fxn == divide)
|
||||
integer_overflow ('/');
|
||||
val = 0;
|
||||
}
|
||||
else
|
||||
val = fxn == divide ? l->u.i / r->u.i : l->u.i % r->u.i;
|
||||
case multiply:
|
||||
domult (l, r);
|
||||
break;
|
||||
case divide:
|
||||
case mod:
|
||||
dodivide (l, r, fxn==mod);
|
||||
break;
|
||||
}
|
||||
}
|
||||
freev (l);
|
||||
freev (r);
|
||||
l = int_value (val);
|
||||
}
|
||||
}
|
||||
|
||||
/* L = L + R, or L = L - R */
|
||||
static void
|
||||
doadd (VALUE *l, VALUE *r, bool add)
|
||||
{
|
||||
long int val = 0;
|
||||
|
||||
if (!toarith (l) || !toarith (r))
|
||||
error (EXPR_INVALID, 0, _("non-numeric argument"));
|
||||
if (l->type == integer && r->type == integer)
|
||||
{
|
||||
if (add)
|
||||
{
|
||||
val = l->u.i + r->u.i;
|
||||
if ((val < l->u.i) == (r->u.i < 0))
|
||||
{
|
||||
l->u.i = val;
|
||||
return;
|
||||
}
|
||||
}
|
||||
else
|
||||
{
|
||||
val = l->u.i - r->u.i;
|
||||
if ((l->u.i < val) == (r->u.i < 0))
|
||||
{
|
||||
l->u.i = val;
|
||||
return;
|
||||
}
|
||||
}
|
||||
}
|
||||
/* If we get to here, either the operation overflowed or at least
|
||||
one operand is an mp_integer. */
|
||||
if (mode != MP_NEVER)
|
||||
{
|
||||
#if HAVE_GMP
|
||||
promote (l);
|
||||
promote (r);
|
||||
if (add)
|
||||
mpz_add (l->u.z, l->u.z, r->u.z);
|
||||
else
|
||||
mpz_sub (l->u.z, l->u.z, r->u.z);
|
||||
#endif
|
||||
}
|
||||
else
|
||||
{
|
||||
integer_overflow ('-');
|
||||
}
|
||||
}
|
||||
|
||||
|
||||
|
||||
/* Handle +, - operators. */
|
||||
|
||||
static VALUE *
|
||||
@@ -685,8 +1180,7 @@ eval3 (bool evaluate)
|
||||
{
|
||||
VALUE *l;
|
||||
VALUE *r;
|
||||
enum { plus, minus } fxn;
|
||||
intmax_t val = 0;
|
||||
bool add;
|
||||
|
||||
#ifdef EVAL_TRACE
|
||||
trace ("eval3");
|
||||
@@ -695,32 +1189,17 @@ eval3 (bool evaluate)
|
||||
while (1)
|
||||
{
|
||||
if (nextarg ("+"))
|
||||
fxn = plus;
|
||||
add = true;
|
||||
else if (nextarg ("-"))
|
||||
fxn = minus;
|
||||
add = false;
|
||||
else
|
||||
return l;
|
||||
r = eval4 (evaluate);
|
||||
if (evaluate)
|
||||
{
|
||||
if (!toarith (l) || !toarith (r))
|
||||
error (EXPR_INVALID, 0, _("non-numeric argument"));
|
||||
if (fxn == plus)
|
||||
{
|
||||
val = l->u.i + r->u.i;
|
||||
if ((val < l->u.i) != (r->u.i < 0))
|
||||
integer_overflow ('+');
|
||||
}
|
||||
else
|
||||
{
|
||||
val = l->u.i - r->u.i;
|
||||
if ((l->u.i < val) != (r->u.i < 0))
|
||||
integer_overflow ('-');
|
||||
}
|
||||
doadd (l, r, add);
|
||||
}
|
||||
freev (l);
|
||||
freev (r);
|
||||
l = int_value (val);
|
||||
}
|
||||
}
|
||||
|
||||
|
||||
Reference in New Issue
Block a user