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	This patch enables testing of cpow in all rounding modes using ALL_RM_TEST. There were two reasons this was previously deferred: * MPC has complicated rounding-mode-dependent rules for the signs of exact zero real or imaginary parts in the result of mpc_pow. Annex G does not impose any such requirements and I don't think glibc should try to implement any particular logic here. This patch adds support for gen-auto-libm-tests passing the IGNORE_ZERO_INF_SIGN flag to libm-test.inc. * Error accumulations in some tests in non-default rounding modes exceed the maximum error permitted in libm-test.inc. This patch marks the problem tests with xfail-rounding. (It might be possible to reduce the accumulations a bit by using round-to-nearest when cpow calls clog, but I don't think there's much point; the implementation approach for cpow is fundamentally deficient, as discussed in the existing bug for cpow inaccuracy which can reasonably be considered to cover these less-inaccurate cases as well. It's possible that the test "cpow 2 0 10 0" will also need xfail-rounding on some platforms.) Tested x86_64 and x86 and ulps updated accordingly. * math/gen-auto-libm-tests.c: Document use of ignore-zero-inf-sign. (input_flag_type): Add value flag_ignore_zero_inf_sign. (input_flags): Add ignore-zero-inf-sign. (output_for_one_input_case): Handle flag_ignore_zero_inf_sign. * math/gen-libm-test.pl (generate_testfile): Handle ignore-zero-inf-sign. * math/auto-libm-test-in: Mark some cpow tests with ignore-zero-inf-sign and some with xfail-rounding. * math/auto-libm-test-out: Regenerated. * math/libm-test.inc (cpow_test): Use ALL_RM_TEST. * sysdeps/i386/fpu/libm-test-ulps: Update. * sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
		
			
				
	
	
		
			2186 lines
		
	
	
		
			67 KiB
		
	
	
	
		
			C
		
	
	
	
	
	
			
		
		
	
	
			2186 lines
		
	
	
		
			67 KiB
		
	
	
	
		
			C
		
	
	
	
	
	
| /* Generate expected output for libm tests with MPFR and MPC.
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|    Copyright (C) 2013-2014 Free Software Foundation, Inc.
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|    This file is part of the GNU C Library.
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| 
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|    The GNU C Library is free software; you can redistribute it and/or
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|    modify it under the terms of the GNU Lesser General Public
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|    License as published by the Free Software Foundation; either
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|    version 2.1 of the License, or (at your option) any later version.
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| 
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|    The GNU C Library 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 GNU
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|    Lesser General Public License for more details.
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| 
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|    You should have received a copy of the GNU Lesser General Public
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|    License along with the GNU C Library; if not, see
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|    <http://www.gnu.org/licenses/>.  */
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| 
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| /* Compile this program as:
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| 
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|    gcc -std=gnu99 -O2 -Wall -Wextra gen-auto-libm-tests.c -lmpc -lmpfr -lgmp \
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|      -o gen-auto-libm-tests
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| 
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|    (use of current MPC and MPFR versions recommended) and run it as:
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| 
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|    gen-auto-libm-tests auto-libm-test-in auto-libm-test-out
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| 
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|    The input file auto-libm-test-in contains three kinds of lines:
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| 
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|    Lines beginning with "#" are comments, and are ignored, as are
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|    empty lines.
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| 
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|    Other lines are test lines, of the form "function input1 input2
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|    ... [flag1 flag2 ...]".  Inputs are either finite real numbers or
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|    integers, depending on the function under test.  Real numbers may
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|    be in any form acceptable to mpfr_strtofr (base 0); integers in any
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|    form acceptable to mpz_set_str (base 0).  In addition, real numbers
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|    may be certain special strings such as "pi", as listed in the
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|    special_real_inputs array.
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| 
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|    Each flag is a flag name possibly followed by a series of
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|    ":condition".  Conditions may be any of the names of floating-point
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|    formats in the floating_point_formats array, "long32" and "long64"
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|    to indicate the number of bits in the "long" type, or other strings
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|    for which libm-test.inc defines a TEST_COND_<condition> macro (with
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|    "-"- changed to "_" in the condition name) evaluating to nonzero
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|    when the condition is true and zero when the condition is false.
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|    The meaning is that the flag applies to the test if all the listed
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|    conditions are true.  "flag:cond1:cond2 flag:cond3:cond4" means the
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|    flag applies if ((cond1 && cond2) || (cond3 && cond4)).
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| 
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|    A real number specified as an input is considered to represent the
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|    set of real numbers arising from rounding the given number in any
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|    direction for any supported floating-point format; any roundings
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|    that give infinity are ignored.  Each input on a test line has all
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|    the possible roundings considered independently.  Each resulting
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|    choice of the tuple of inputs to the function is ignored if the
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|    mathematical result of the function involves a NaN or an exact
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|    infinity, and is otherwise considered for each floating-point
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|    format for which all those inputs are exactly representable.  Thus
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|    tests may result in "overflow", "underflow" and "inexact"
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|    exceptions; "invalid" may arise only when the final result type is
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|    an integer type and it is the conversion of a mathematically
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|    defined finite result to integer type that results in that
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|    exception.
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| 
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|    By default, it is assumed that "overflow" and "underflow"
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|    exceptions should be correct, but that "inexact" exceptions should
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|    only be correct for functions listed as exactly determined.  For
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|    such functions, "underflow" exceptions should respect whether the
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|    machine has before-rounding or after-rounding tininess detection.
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|    For other functions, it is considered that if the exact result is
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|    somewhere between the greatest magnitude subnormal of a given sign
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|    (exclusive) and the least magnitude normal of that sign
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|    (inclusive), underflow exceptions are permitted but optional on all
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|    machines, and they are also permitted but optional for smaller
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|    subnormal exact results for functions that are not exactly
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|    determined.  errno setting is expected for overflow to infinity and
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|    underflow to zero (for real functions), and for out-of-range
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|    conversion of a finite result to integer type, and is considered
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|    permitted but optional for all other cases where overflow
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|    exceptions occur, and where underflow exceptions occur or are
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|    permitted.  In other cases (where no overflow or underflow is
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|    permitted), errno is expected to be left unchanged.
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| 
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|    The flag "no-test-inline" indicates a test is disabled for inline
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|    function testing; "ignore-zero-inf-sign" indicates the the signs of
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|    zero and infinite results should be ignored; "xfail" indicates the
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|    test is disabled as expected to produce incorrect results,
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|    "xfail-rounding" indicates the test is disabled only in rounding
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|    modes other than round-to-nearest.  Otherwise, test flags are of
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|    the form "spurious-<exception>" and "missing-<exception>", for any
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|    exception ("overflow", "underflow", "inexact", "invalid",
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|    "divbyzero"), "spurious-errno" and "missing-errno", to indicate
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|    when tests are expected to deviate from the exception and errno
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|    settings corresponding to the mathematical results.  "xfail",
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|    "xfail-rounding", "spurious-" and "missing-" flags should be
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|    accompanied by a comment referring to an open bug in glibc
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|    Bugzilla.
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| 
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|    The output file auto-libm-test-out contains the test lines from
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|    auto-libm-test-in, and, after the line for a given test, some
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|    number of output test lines.  An output test line is of the form "=
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|    function rounding-mode format input1 input2 ... : output1 output2
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|    ... : flags".  rounding-mode is "tonearest", "towardzero", "upward"
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|    or "downward".  format is a name from the floating_point_formats
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|    array, possibly followed by a sequence of ":flag" for flags from
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|    "long32" and "long64".  Inputs and outputs are specified as hex
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|    floats with the required suffix for the floating-point type, or
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|    plus_infty or minus_infty for infinite expected results, or as
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|    integer constant expressions (not necessarily with the right type)
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|    or IGNORE for integer inputs and outputs.  Flags are
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|    "no-test-inline", "ignore-zero-info-sign", "xfail", "<exception>",
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|    "<exception>-ok", "errno-<value>", "errno-<value>-ok", which may be
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|    unconditional or conditional.  "<exception>" indicates that a
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|    correct result means the given exception should be raised.
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|    "errno-<value>" indicates that a correct result means errno should
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|    be set to the given value.  "-ok" means not to test for the given
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|    exception or errno value (whether because it was marked as possibly
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|    missing or spurious, or because the calculation of correct results
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|    indicated it was optional).  Conditions "before-rounding" and
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|    "after-rounding" indicate tests where expectations for underflow
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|    exceptions depend on how the architecture detects tininess.  */
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| 
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| #define _GNU_SOURCE
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| 
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| #include <assert.h>
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| #include <ctype.h>
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| #include <errno.h>
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| #include <error.h>
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| #include <stdbool.h>
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| #include <stdint.h>
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| #include <stdio.h>
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| #include <stdlib.h>
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| #include <string.h>
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| 
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| #include <gmp.h>
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| #include <mpfr.h>
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| #include <mpc.h>
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| 
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| #define ARRAY_SIZE(A) (sizeof (A) / sizeof ((A)[0]))
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| 
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| /* The supported floating-point formats.  */
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| typedef enum
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|   {
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|     fp_flt_32,
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|     fp_dbl_64,
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|     fp_ldbl_96_intel,
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|     fp_ldbl_96_m68k,
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|     fp_ldbl_128,
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|     fp_ldbl_128ibm,
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|     fp_num_formats,
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|     fp_first_format = 0
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|   } fp_format;
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| 
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| /* Structure describing a single floating-point format.  */
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| typedef struct
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| {
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|   /* The name of the format.  */
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|   const char *name;
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|   /* The suffix to use on floating-point constants with this
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|      format.  */
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|   const char *suffix;
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|   /* A string for the largest normal value, or NULL for IEEE formats
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|      where this can be determined automatically.  */
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|   const char *max_string;
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|   /* The number of mantissa bits.  */
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|   int mant_dig;
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|   /* The least N such that 2^N overflows.  */
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|   int max_exp;
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|   /* One more than the least N such that 2^N is normal.  */
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|   int min_exp;
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|   /* The largest normal value.  */
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|   mpfr_t max;
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|   /* The value 0.5ulp above the least positive normal value.  */
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|   mpfr_t min_plus_half;
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|   /* The least positive normal value, 2^(MIN_EXP-1).  */
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|   mpfr_t min;
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|   /* The greatest positive subnormal value.  */
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|   mpfr_t subnorm_max;
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|   /* The least positive subnormal value, 2^(MIN_EXP-MANT_DIG).  */
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|   mpfr_t subnorm_min;
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| } fp_format_desc;
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| 
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| /* List of floating-point formats, in the same order as the fp_format
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|    enumeration.  */
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| static fp_format_desc fp_formats[fp_num_formats] =
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|   {
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|     { "flt-32", "f", NULL, 24, 128, -125, {}, {}, {}, {}, {} },
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|     { "dbl-64", "", NULL, 53, 1024, -1021, {}, {}, {}, {}, {} },
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|     { "ldbl-96-intel", "L", NULL, 64, 16384, -16381, {}, {}, {}, {}, {} },
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|     { "ldbl-96-m68k", "L", NULL, 64, 16384, -16382, {}, {}, {}, {}, {} },
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|     { "ldbl-128", "L", NULL, 113, 16384, -16381, {}, {}, {}, {}, {} },
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|     { "ldbl-128ibm", "L", "0x1.fffffffffffff7ffffffffffff8p+1023",
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|       106, 1024, -968, {}, {}, {}, {}, {} },
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|   };
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| 
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| /* The supported rounding modes.  */
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| typedef enum
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|   {
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|     rm_downward,
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|     rm_tonearest,
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|     rm_towardzero,
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|     rm_upward,
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|     rm_num_modes,
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|     rm_first_mode = 0
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|   } rounding_mode;
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| 
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| /* Structure describing a single rounding mode.  */
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| typedef struct
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| {
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|   /* The name of the rounding mode.  */
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|   const char *name;
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|   /* The MPFR rounding mode.  */
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|   mpfr_rnd_t mpfr_mode;
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|   /* The MPC rounding mode.  */
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|   mpc_rnd_t mpc_mode;
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| } rounding_mode_desc;
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| 
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| /* List of rounding modes, in the same order as the rounding_mode
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|    enumeration.  */
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| static const rounding_mode_desc rounding_modes[rm_num_modes] =
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|   {
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|     { "downward", MPFR_RNDD, MPC_RNDDD },
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|     { "tonearest", MPFR_RNDN, MPC_RNDNN },
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|     { "towardzero", MPFR_RNDZ, MPC_RNDZZ },
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|     { "upward", MPFR_RNDU, MPC_RNDUU },
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|   };
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| 
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| /* The supported exceptions.  */
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| typedef enum
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|   {
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|     exc_divbyzero,
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|     exc_inexact,
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|     exc_invalid,
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|     exc_overflow,
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|     exc_underflow,
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|     exc_num_exceptions,
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|     exc_first_exception = 0
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|   } fp_exception;
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| 
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| /* List of exceptions, in the same order as the fp_exception
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|    enumeration.  */
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| static const char *const exceptions[exc_num_exceptions] =
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|   {
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|     "divbyzero",
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|     "inexact",
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|     "invalid",
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|     "overflow",
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|     "underflow",
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|   };
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| 
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| /* The internal precision to use for most MPFR calculations, which
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|    must be at least 2 more than the greatest precision of any
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|    supported floating-point format.  */
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| static int internal_precision;
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| 
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| /* A value that overflows all supported floating-point formats.  */
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| static mpfr_t global_max;
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| 
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| /* A value that is at most half the least subnormal in any
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|    floating-point format and so is rounded the same way as all
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|    sufficiently small positive values.  */
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| static mpfr_t global_min;
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| 
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| /* The maximum number of (real or integer) arguments to a function
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|    handled by this program (complex arguments count as two real
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|    arguments).  */
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| #define MAX_NARGS 4
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| 
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| /* The maximum number of (real or integer) return values from a
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|    function handled by this program.  */
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| #define MAX_NRET 2
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| 
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| /* A type of a function argument or return value.  */
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| typedef enum
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|   {
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|     /* No type (not a valid argument or return value).  */
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|     type_none,
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|     /* A floating-point value with the type corresponding to that of
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|        the function.  */
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|     type_fp,
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|     /* An integer value of type int.  */
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|     type_int,
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|     /* An integer value of type long.  */
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|     type_long,
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|     /* An integer value of type long long.  */
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|     type_long_long,
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|   } arg_ret_type;
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| 
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| /* A type of a generic real or integer value.  */
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| typedef enum
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|   {
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|     /* No type.  */
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|     gtype_none,
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|     /* Floating-point (represented with MPFR).  */
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|     gtype_fp,
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|     /* Integer (represented with GMP).  */
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|     gtype_int,
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|   } generic_value_type;
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| 
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| /* A generic value (argument or result).  */
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| typedef struct
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| {
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|   /* The type of this value.  */
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|   generic_value_type type;
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|   /* Its value.  */
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|   union
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|   {
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|     mpfr_t f;
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|     mpz_t i;
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|   } value;
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| } generic_value;
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| 
 | |
| /* A type of input flag.  */
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| typedef enum
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|   {
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|     flag_no_test_inline,
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|     flag_ignore_zero_inf_sign,
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|     flag_xfail,
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|     flag_xfail_rounding,
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|     /* The "spurious" and "missing" flags must be in the same order as
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|        the fp_exception enumeration.  */
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|     flag_spurious_divbyzero,
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|     flag_spurious_inexact,
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|     flag_spurious_invalid,
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|     flag_spurious_overflow,
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|     flag_spurious_underflow,
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|     flag_spurious_errno,
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|     flag_missing_divbyzero,
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|     flag_missing_inexact,
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|     flag_missing_invalid,
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|     flag_missing_overflow,
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|     flag_missing_underflow,
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|     flag_missing_errno,
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|     num_input_flag_types,
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|     flag_first_flag = 0,
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|     flag_spurious_first = flag_spurious_divbyzero,
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|     flag_missing_first = flag_missing_divbyzero
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|   } input_flag_type;
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| 
 | |
| /* List of flags, in the same order as the input_flag_type
 | |
|    enumeration.  */
 | |
| static const char *const input_flags[num_input_flag_types] =
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|   {
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|     "no-test-inline",
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|     "ignore-zero-inf-sign",
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|     "xfail",
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|     "xfail-rounding",
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|     "spurious-divbyzero",
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|     "spurious-inexact",
 | |
|     "spurious-invalid",
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|     "spurious-overflow",
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|     "spurious-underflow",
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|     "spurious-errno",
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|     "missing-divbyzero",
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|     "missing-inexact",
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|     "missing-invalid",
 | |
|     "missing-overflow",
 | |
|     "missing-underflow",
 | |
|     "missing-errno",
 | |
|   };
 | |
| 
 | |
| /* An input flag, possibly conditional.  */
 | |
| typedef struct
 | |
| {
 | |
|   /* The type of this flag.  */
 | |
|   input_flag_type type;
 | |
|   /* The conditions on this flag, as a string ":cond1:cond2..." or
 | |
|      NULL.  */
 | |
|   const char *cond;
 | |
| } input_flag;
 | |
| 
 | |
| /* Structure describing a single test from the input file (which may
 | |
|    expand into many tests in the output).  The choice of function,
 | |
|    which implies the numbers and types of arguments and results, is
 | |
|    implicit rather than stored in this structure (except as part of
 | |
|    the source line).  */
 | |
| typedef struct
 | |
| {
 | |
|   /* The text of the input line describing the test, including the
 | |
|      trailing newline.  */
 | |
|   const char *line;
 | |
|   /* The number of combinations of interpretations of input values for
 | |
|      different floating-point formats and rounding modes.  */
 | |
|   size_t num_input_cases;
 | |
|   /* The corresponding lists of inputs.  */
 | |
|   generic_value **inputs;
 | |
|   /* The number of flags for this test.  */
 | |
|   size_t num_flags;
 | |
|   /* The corresponding list of flags.  */
 | |
|   input_flag *flags;
 | |
|   /* The old output for this test.  */
 | |
|   const char *old_output;
 | |
| } input_test;
 | |
| 
 | |
| /* Ways to calculate a function.  */
 | |
| typedef enum
 | |
|   {
 | |
|     /* MPFR function with a single argument and result.  */
 | |
|     mpfr_f_f,
 | |
|     /* MPFR function with two arguments and one result.  */
 | |
|     mpfr_ff_f,
 | |
|     /* MPFR function with three arguments and one result.  */
 | |
|     mpfr_fff_f,
 | |
|     /* MPFR function with a single argument and floating-point and
 | |
|        integer results.  */
 | |
|     mpfr_f_f1,
 | |
|     /* MPFR function with integer and floating-point arguments and one
 | |
|        result.  */
 | |
|     mpfr_if_f,
 | |
|     /* MPFR function with a single argument and two floating-point
 | |
|        results.  */
 | |
|     mpfr_f_11,
 | |
|     /* MPC function with a single complex argument and one real
 | |
|        result.  */
 | |
|     mpc_c_f,
 | |
|     /* MPC function with a single complex argument and one complex
 | |
|        result.  */
 | |
|     mpc_c_c,
 | |
|     /* MPC function with two complex arguments and one complex
 | |
|        result.  */
 | |
|     mpc_cc_c,
 | |
|   } func_calc_method;
 | |
| 
 | |
| /* Description of how to calculate a function.  */
 | |
| typedef struct
 | |
| {
 | |
|   /* Which method is used to calculate the function.  */
 | |
|   func_calc_method method;
 | |
|   /* The specific function called.  */
 | |
|   union
 | |
|   {
 | |
|     int (*mpfr_f_f) (mpfr_t, const mpfr_t, mpfr_rnd_t);
 | |
|     int (*mpfr_ff_f) (mpfr_t, const mpfr_t, const mpfr_t, mpfr_rnd_t);
 | |
|     int (*mpfr_fff_f) (mpfr_t, const mpfr_t, const mpfr_t, const mpfr_t,
 | |
| 		       mpfr_rnd_t);
 | |
|     int (*mpfr_f_f1) (mpfr_t, int *, const mpfr_t, mpfr_rnd_t);
 | |
|     int (*mpfr_if_f) (mpfr_t, long, const mpfr_t, mpfr_rnd_t);
 | |
|     int (*mpfr_f_11) (mpfr_t, mpfr_t, const mpfr_t, mpfr_rnd_t);
 | |
|     int (*mpc_c_f) (mpfr_t, const mpc_t, mpfr_rnd_t);
 | |
|     int (*mpc_c_c) (mpc_t, const mpc_t, mpc_rnd_t);
 | |
|     int (*mpc_cc_c) (mpc_t, const mpc_t, const mpc_t, mpc_rnd_t);
 | |
|   } func;
 | |
| } func_calc_desc;
 | |
| 
 | |
| /* Structure describing a function handled by this program.  */
 | |
| typedef struct
 | |
| {
 | |
|   /* The name of the function.  */
 | |
|   const char *name;
 | |
|   /* The number of arguments.  */
 | |
|   size_t num_args;
 | |
|   /* The types of the arguments.  */
 | |
|   arg_ret_type arg_types[MAX_NARGS];
 | |
|   /* The number of return values.  */
 | |
|   size_t num_ret;
 | |
|   /* The types of the return values.  */
 | |
|   arg_ret_type ret_types[MAX_NRET];
 | |
|   /* Whether the function has exactly determined results and
 | |
|      exceptions.  */
 | |
|   bool exact;
 | |
|   /* Whether the function is a complex function, so errno setting is
 | |
|      optional.  */
 | |
|   bool complex_fn;
 | |
|   /* Whether to treat arguments given as floating-point constants as
 | |
|      exact only, rather than rounding them up and down to all
 | |
|      formats.  */
 | |
|   bool exact_args;
 | |
|   /* How to calculate this function.  */
 | |
|   func_calc_desc calc;
 | |
|   /* The number of tests allocated for this function.  */
 | |
|   size_t num_tests_alloc;
 | |
|   /* The number of tests for this function.  */
 | |
|   size_t num_tests;
 | |
|   /* The tests themselves.  */
 | |
|   input_test *tests;
 | |
| } test_function;
 | |
| 
 | |
| #define ARGS1(T1) 1, { T1 }
 | |
| #define ARGS2(T1, T2) 2, { T1, T2 }
 | |
| #define ARGS3(T1, T2, T3) 3, { T1, T2, T3 }
 | |
| #define ARGS4(T1, T2, T3, T4) 4, { T1, T2, T3, T4 }
 | |
| #define RET1(T1) 1, { T1 }
 | |
| #define RET2(T1, T2) 2, { T1, T2 }
 | |
| #define CALC(TYPE, FN) { TYPE, { .TYPE = FN } }
 | |
| #define FUNC(NAME, ARGS, RET, EXACT, COMPLEX_FN, EXACT_ARGS, CALC)	\
 | |
|   {									\
 | |
|     NAME, ARGS, RET, EXACT, COMPLEX_FN, EXACT_ARGS, CALC, 0, 0, NULL	\
 | |
|   }
 | |
| 
 | |
| #define FUNC_mpfr_f_f(NAME, MPFR_FUNC, EXACT)				\
 | |
|   FUNC (NAME, ARGS1 (type_fp), RET1 (type_fp), EXACT, false, false,	\
 | |
| 	CALC (mpfr_f_f, MPFR_FUNC))
 | |
| #define FUNC_mpfr_ff_f(NAME, MPFR_FUNC, EXACT)				\
 | |
|   FUNC (NAME, ARGS2 (type_fp, type_fp), RET1 (type_fp), EXACT, false,	\
 | |
| 	false, CALC (mpfr_ff_f, MPFR_FUNC))
 | |
| #define FUNC_mpfr_if_f(NAME, MPFR_FUNC, EXACT)				\
 | |
|   FUNC (NAME, ARGS2 (type_int, type_fp), RET1 (type_fp), EXACT, false,	\
 | |
| 	false, CALC (mpfr_if_f, MPFR_FUNC))
 | |
| #define FUNC_mpc_c_f(NAME, MPFR_FUNC, EXACT)				\
 | |
|   FUNC (NAME, ARGS2 (type_fp, type_fp), RET1 (type_fp), EXACT, true,	\
 | |
| 	false, CALC (mpc_c_f, MPFR_FUNC))
 | |
| #define FUNC_mpc_c_c(NAME, MPFR_FUNC, EXACT)				\
 | |
|   FUNC (NAME, ARGS2 (type_fp, type_fp), RET2 (type_fp, type_fp), EXACT, \
 | |
| 	true, false, CALC (mpc_c_c, MPFR_FUNC))
 | |
| 
 | |
| /* List of functions handled by this program.  */
 | |
| static test_function test_functions[] =
 | |
|   {
 | |
|     FUNC_mpfr_f_f ("acos", mpfr_acos, false),
 | |
|     FUNC_mpfr_f_f ("acosh", mpfr_acosh, false),
 | |
|     FUNC_mpfr_f_f ("asin", mpfr_asin, false),
 | |
|     FUNC_mpfr_f_f ("asinh", mpfr_asinh, false),
 | |
|     FUNC_mpfr_f_f ("atan", mpfr_atan, false),
 | |
|     FUNC_mpfr_ff_f ("atan2", mpfr_atan2, false),
 | |
|     FUNC_mpfr_f_f ("atanh", mpfr_atanh, false),
 | |
|     FUNC_mpc_c_f ("cabs", mpc_abs, false),
 | |
|     FUNC_mpc_c_c ("cacos", mpc_acos, false),
 | |
|     FUNC_mpc_c_c ("cacosh", mpc_acosh, false),
 | |
|     FUNC_mpc_c_f ("carg", mpc_arg, false),
 | |
|     FUNC_mpc_c_c ("casin", mpc_asin, false),
 | |
|     FUNC_mpc_c_c ("casinh", mpc_asinh, false),
 | |
|     FUNC_mpc_c_c ("catan", mpc_atan, false),
 | |
|     FUNC_mpc_c_c ("catanh", mpc_atanh, false),
 | |
|     FUNC_mpfr_f_f ("cbrt", mpfr_cbrt, false),
 | |
|     FUNC_mpc_c_c ("ccos", mpc_cos, false),
 | |
|     FUNC_mpc_c_c ("ccosh", mpc_cosh, false),
 | |
|     FUNC_mpc_c_c ("cexp", mpc_exp, false),
 | |
|     FUNC_mpc_c_c ("clog", mpc_log, false),
 | |
|     FUNC_mpc_c_c ("clog10", mpc_log10, false),
 | |
|     FUNC_mpfr_f_f ("cos", mpfr_cos, false),
 | |
|     FUNC_mpfr_f_f ("cosh", mpfr_cosh, false),
 | |
|     FUNC ("cpow", ARGS4 (type_fp, type_fp, type_fp, type_fp),
 | |
| 	  RET2 (type_fp, type_fp), false, true, false,
 | |
| 	  CALC (mpc_cc_c, mpc_pow)),
 | |
|     FUNC_mpc_c_c ("csin", mpc_sin, false),
 | |
|     FUNC_mpc_c_c ("csinh", mpc_sinh, false),
 | |
|     FUNC_mpc_c_c ("csqrt", mpc_sqrt, false),
 | |
|     FUNC_mpc_c_c ("ctan", mpc_tan, false),
 | |
|     FUNC_mpc_c_c ("ctanh", mpc_tanh, false),
 | |
|     FUNC_mpfr_f_f ("erf", mpfr_erf, false),
 | |
|     FUNC_mpfr_f_f ("erfc", mpfr_erfc, false),
 | |
|     FUNC_mpfr_f_f ("exp", mpfr_exp, false),
 | |
|     FUNC_mpfr_f_f ("exp10", mpfr_exp10, false),
 | |
|     FUNC_mpfr_f_f ("exp2", mpfr_exp2, false),
 | |
|     FUNC_mpfr_f_f ("expm1", mpfr_expm1, false),
 | |
|     FUNC ("fma", ARGS3 (type_fp, type_fp, type_fp), RET1 (type_fp),
 | |
| 	  true, false, true, CALC (mpfr_fff_f, mpfr_fma)),
 | |
|     FUNC_mpfr_ff_f ("hypot", mpfr_hypot, false),
 | |
|     FUNC_mpfr_f_f ("j0", mpfr_j0, false),
 | |
|     FUNC_mpfr_f_f ("j1", mpfr_j1, false),
 | |
|     FUNC_mpfr_if_f ("jn", mpfr_jn, false),
 | |
|     FUNC ("lgamma", ARGS1 (type_fp), RET2 (type_fp, type_int), false, false,
 | |
| 	  false, CALC (mpfr_f_f1, mpfr_lgamma)),
 | |
|     FUNC_mpfr_f_f ("log", mpfr_log, false),
 | |
|     FUNC_mpfr_f_f ("log10", mpfr_log10, false),
 | |
|     FUNC_mpfr_f_f ("log1p", mpfr_log1p, false),
 | |
|     FUNC_mpfr_f_f ("log2", mpfr_log2, false),
 | |
|     FUNC_mpfr_ff_f ("pow", mpfr_pow, false),
 | |
|     FUNC_mpfr_f_f ("sin", mpfr_sin, false),
 | |
|     FUNC ("sincos", ARGS1 (type_fp), RET2 (type_fp, type_fp), false, false,
 | |
| 	  false, CALC (mpfr_f_11, mpfr_sin_cos)),
 | |
|     FUNC_mpfr_f_f ("sinh", mpfr_sinh, false),
 | |
|     FUNC_mpfr_f_f ("sqrt", mpfr_sqrt, true),
 | |
|     FUNC_mpfr_f_f ("tan", mpfr_tan, false),
 | |
|     FUNC_mpfr_f_f ("tanh", mpfr_tanh, false),
 | |
|     FUNC_mpfr_f_f ("tgamma", mpfr_gamma, false),
 | |
|     FUNC_mpfr_f_f ("y0", mpfr_y0, false),
 | |
|     FUNC_mpfr_f_f ("y1", mpfr_y1, false),
 | |
|     FUNC_mpfr_if_f ("yn", mpfr_yn, false),
 | |
|   };
 | |
| 
 | |
| /* Allocate memory, with error checking.  */
 | |
| 
 | |
| static void *
 | |
| xmalloc (size_t n)
 | |
| {
 | |
|   void *p = malloc (n);
 | |
|   if (p == NULL)
 | |
|     error (EXIT_FAILURE, errno, "xmalloc failed");
 | |
|   return p;
 | |
| }
 | |
| 
 | |
| static void *
 | |
| xrealloc (void *p, size_t n)
 | |
| {
 | |
|   p = realloc (p, n);
 | |
|   if (p == NULL)
 | |
|     error (EXIT_FAILURE, errno, "xrealloc failed");
 | |
|   return p;
 | |
| }
 | |
| 
 | |
| static char *
 | |
| xstrdup (const char *s)
 | |
| {
 | |
|   char *p = strdup (s);
 | |
|   if (p == NULL)
 | |
|     error (EXIT_FAILURE, errno, "xstrdup failed");
 | |
|   return p;
 | |
| }
 | |
| 
 | |
| /* Assert that the result of an MPFR operation was exact; that is,
 | |
|    that the returned ternary value was 0.  */
 | |
| 
 | |
| static void
 | |
| assert_exact (int i)
 | |
| {
 | |
|   assert (i == 0);
 | |
| }
 | |
| 
 | |
| /* Return the generic type of an argument or return value type T.  */
 | |
| 
 | |
| static generic_value_type
 | |
| generic_arg_ret_type (arg_ret_type t)
 | |
| {
 | |
|   switch (t)
 | |
|     {
 | |
|     case type_fp:
 | |
|       return gtype_fp;
 | |
| 
 | |
|     case type_int:
 | |
|     case type_long:
 | |
|     case type_long_long:
 | |
|       return gtype_int;
 | |
| 
 | |
|     default:
 | |
|       abort ();
 | |
|     }
 | |
| }
 | |
| 
 | |
| /* Free a generic_value *V.  */
 | |
| 
 | |
| static void
 | |
| generic_value_free (generic_value *v)
 | |
| {
 | |
|   switch (v->type)
 | |
|     {
 | |
|     case gtype_fp:
 | |
|       mpfr_clear (v->value.f);
 | |
|       break;
 | |
| 
 | |
|     case gtype_int:
 | |
|       mpz_clear (v->value.i);
 | |
|       break;
 | |
| 
 | |
|     default:
 | |
|       abort ();
 | |
|     }
 | |
| }
 | |
| 
 | |
| /* Copy a generic_value *SRC to *DEST.  */
 | |
| 
 | |
| static void
 | |
| generic_value_copy (generic_value *dest, const generic_value *src)
 | |
| {
 | |
|   dest->type = src->type;
 | |
|   switch (src->type)
 | |
|     {
 | |
|     case gtype_fp:
 | |
|       mpfr_init (dest->value.f);
 | |
|       assert_exact (mpfr_set (dest->value.f, src->value.f, MPFR_RNDN));
 | |
|       break;
 | |
| 
 | |
|     case gtype_int:
 | |
|       mpz_init (dest->value.i);
 | |
|       mpz_set (dest->value.i, src->value.i);
 | |
|       break;
 | |
| 
 | |
|     default:
 | |
|       abort ();
 | |
|     }
 | |
| }
 | |
| 
 | |
| /* Initialize data for floating-point formats.  */
 | |
| 
 | |
| static void
 | |
| init_fp_formats ()
 | |
| {
 | |
|   int global_max_exp = 0, global_min_subnorm_exp = 0;
 | |
|   for (fp_format f = fp_first_format; f < fp_num_formats; f++)
 | |
|     {
 | |
|       if (fp_formats[f].mant_dig + 2 > internal_precision)
 | |
| 	internal_precision = fp_formats[f].mant_dig + 2;
 | |
|       if (fp_formats[f].max_exp > global_max_exp)
 | |
| 	global_max_exp = fp_formats[f].max_exp;
 | |
|       int min_subnorm_exp = fp_formats[f].min_exp - fp_formats[f].mant_dig;
 | |
|       if (min_subnorm_exp < global_min_subnorm_exp)
 | |
| 	global_min_subnorm_exp = min_subnorm_exp;
 | |
|       mpfr_init2 (fp_formats[f].max, fp_formats[f].mant_dig);
 | |
|       if (fp_formats[f].max_string != NULL)
 | |
| 	{
 | |
| 	  char *ep = NULL;
 | |
| 	  assert_exact (mpfr_strtofr (fp_formats[f].max,
 | |
| 				      fp_formats[f].max_string,
 | |
| 				      &ep, 0, MPFR_RNDN));
 | |
| 	  assert (*ep == 0);
 | |
| 	}
 | |
|       else
 | |
| 	{
 | |
| 	  assert_exact (mpfr_set_ui_2exp (fp_formats[f].max, 1,
 | |
| 					  fp_formats[f].max_exp,
 | |
| 					  MPFR_RNDN));
 | |
| 	  mpfr_nextbelow (fp_formats[f].max);
 | |
| 	}
 | |
|       mpfr_init2 (fp_formats[f].min, fp_formats[f].mant_dig);
 | |
|       assert_exact (mpfr_set_ui_2exp (fp_formats[f].min, 1,
 | |
| 				      fp_formats[f].min_exp - 1,
 | |
| 				      MPFR_RNDN));
 | |
|       mpfr_init2 (fp_formats[f].min_plus_half, fp_formats[f].mant_dig + 1);
 | |
|       assert_exact (mpfr_set (fp_formats[f].min_plus_half,
 | |
| 			      fp_formats[f].min, MPFR_RNDN));
 | |
|       mpfr_nextabove (fp_formats[f].min_plus_half);
 | |
|       mpfr_init2 (fp_formats[f].subnorm_max, fp_formats[f].mant_dig);
 | |
|       assert_exact (mpfr_set (fp_formats[f].subnorm_max, fp_formats[f].min,
 | |
| 			      MPFR_RNDN));
 | |
|       mpfr_nextbelow (fp_formats[f].subnorm_max);
 | |
|       mpfr_nextbelow (fp_formats[f].subnorm_max);
 | |
|       mpfr_init2 (fp_formats[f].subnorm_min, fp_formats[f].mant_dig);
 | |
|       assert_exact (mpfr_set_ui_2exp (fp_formats[f].subnorm_min, 1,
 | |
| 				      min_subnorm_exp, MPFR_RNDN));
 | |
|     }
 | |
|   mpfr_set_default_prec (internal_precision);
 | |
|   mpfr_init (global_max);
 | |
|   assert_exact (mpfr_set_ui_2exp (global_max, 1, global_max_exp, MPFR_RNDN));
 | |
|   mpfr_init (global_min);
 | |
|   assert_exact (mpfr_set_ui_2exp (global_min, 1, global_min_subnorm_exp - 1,
 | |
| 				  MPFR_RNDN));
 | |
| }
 | |
| 
 | |
| /* Fill in mpfr_t values for special strings in input arguments.  */
 | |
| 
 | |
| static size_t
 | |
| special_fill_max (mpfr_t res0, mpfr_t res1 __attribute__ ((unused)),
 | |
| 		  fp_format format)
 | |
| {
 | |
|   mpfr_init2 (res0, fp_formats[format].mant_dig);
 | |
|   assert_exact (mpfr_set (res0, fp_formats[format].max, MPFR_RNDN));
 | |
|   return 1;
 | |
| }
 | |
| 
 | |
| static size_t
 | |
| special_fill_minus_max (mpfr_t res0, mpfr_t res1 __attribute__ ((unused)),
 | |
| 			fp_format format)
 | |
| {
 | |
|   mpfr_init2 (res0, fp_formats[format].mant_dig);
 | |
|   assert_exact (mpfr_neg (res0, fp_formats[format].max, MPFR_RNDN));
 | |
|   return 1;
 | |
| }
 | |
| 
 | |
| static size_t
 | |
| special_fill_min (mpfr_t res0, mpfr_t res1 __attribute__ ((unused)),
 | |
| 		  fp_format format)
 | |
| {
 | |
|   mpfr_init2 (res0, fp_formats[format].mant_dig);
 | |
|   assert_exact (mpfr_set (res0, fp_formats[format].min, MPFR_RNDN));
 | |
|   return 1;
 | |
| }
 | |
| 
 | |
| static size_t
 | |
| special_fill_minus_min (mpfr_t res0, mpfr_t res1 __attribute__ ((unused)),
 | |
| 			fp_format format)
 | |
| {
 | |
|   mpfr_init2 (res0, fp_formats[format].mant_dig);
 | |
|   assert_exact (mpfr_neg (res0, fp_formats[format].min, MPFR_RNDN));
 | |
|   return 1;
 | |
| }
 | |
| 
 | |
| static size_t
 | |
| special_fill_min_subnorm (mpfr_t res0, mpfr_t res1 __attribute__ ((unused)),
 | |
| 			  fp_format format)
 | |
| {
 | |
|   mpfr_init2 (res0, fp_formats[format].mant_dig);
 | |
|   assert_exact (mpfr_set (res0, fp_formats[format].subnorm_min, MPFR_RNDN));
 | |
|   return 1;
 | |
| }
 | |
| 
 | |
| static size_t
 | |
| special_fill_minus_min_subnorm (mpfr_t res0,
 | |
| 				mpfr_t res1 __attribute__ ((unused)),
 | |
| 				fp_format format)
 | |
| {
 | |
|   mpfr_init2 (res0, fp_formats[format].mant_dig);
 | |
|   assert_exact (mpfr_neg (res0, fp_formats[format].subnorm_min, MPFR_RNDN));
 | |
|   return 1;
 | |
| }
 | |
| 
 | |
| static size_t
 | |
| special_fill_min_subnorm_p120 (mpfr_t res0,
 | |
| 			       mpfr_t res1 __attribute__ ((unused)),
 | |
| 			       fp_format format)
 | |
| {
 | |
|   mpfr_init2 (res0, fp_formats[format].mant_dig);
 | |
|   assert_exact (mpfr_mul_2ui (res0, fp_formats[format].subnorm_min,
 | |
| 			      120, MPFR_RNDN));
 | |
|   return 1;
 | |
| }
 | |
| 
 | |
| static size_t
 | |
| special_fill_pi (mpfr_t res0, mpfr_t res1, fp_format format)
 | |
| {
 | |
|   mpfr_init2 (res0, fp_formats[format].mant_dig);
 | |
|   mpfr_const_pi (res0, MPFR_RNDU);
 | |
|   mpfr_init2 (res1, fp_formats[format].mant_dig);
 | |
|   mpfr_const_pi (res1, MPFR_RNDD);
 | |
|   return 2;
 | |
| }
 | |
| 
 | |
| static size_t
 | |
| special_fill_minus_pi (mpfr_t res0, mpfr_t res1, fp_format format)
 | |
| {
 | |
|   mpfr_init2 (res0, fp_formats[format].mant_dig);
 | |
|   mpfr_const_pi (res0, MPFR_RNDU);
 | |
|   assert_exact (mpfr_neg (res0, res0, MPFR_RNDN));
 | |
|   mpfr_init2 (res1, fp_formats[format].mant_dig);
 | |
|   mpfr_const_pi (res1, MPFR_RNDD);
 | |
|   assert_exact (mpfr_neg (res1, res1, MPFR_RNDN));
 | |
|   return 2;
 | |
| }
 | |
| 
 | |
| static size_t
 | |
| special_fill_pi_2 (mpfr_t res0, mpfr_t res1, fp_format format)
 | |
| {
 | |
|   mpfr_init2 (res0, fp_formats[format].mant_dig);
 | |
|   mpfr_const_pi (res0, MPFR_RNDU);
 | |
|   assert_exact (mpfr_div_ui (res0, res0, 2, MPFR_RNDN));
 | |
|   mpfr_init2 (res1, fp_formats[format].mant_dig);
 | |
|   mpfr_const_pi (res1, MPFR_RNDD);
 | |
|   assert_exact (mpfr_div_ui (res1, res1, 2, MPFR_RNDN));
 | |
|   return 2;
 | |
| }
 | |
| 
 | |
| static size_t
 | |
| special_fill_minus_pi_2 (mpfr_t res0, mpfr_t res1, fp_format format)
 | |
| {
 | |
|   mpfr_init2 (res0, fp_formats[format].mant_dig);
 | |
|   mpfr_const_pi (res0, MPFR_RNDU);
 | |
|   assert_exact (mpfr_div_ui (res0, res0, 2, MPFR_RNDN));
 | |
|   assert_exact (mpfr_neg (res0, res0, MPFR_RNDN));
 | |
|   mpfr_init2 (res1, fp_formats[format].mant_dig);
 | |
|   mpfr_const_pi (res1, MPFR_RNDD);
 | |
|   assert_exact (mpfr_div_ui (res1, res1, 2, MPFR_RNDN));
 | |
|   assert_exact (mpfr_neg (res1, res1, MPFR_RNDN));
 | |
|   return 2;
 | |
| }
 | |
| 
 | |
| static size_t
 | |
| special_fill_pi_4 (mpfr_t res0, mpfr_t res1, fp_format format)
 | |
| {
 | |
|   mpfr_init2 (res0, fp_formats[format].mant_dig);
 | |
|   assert_exact (mpfr_set_si (res0, 1, MPFR_RNDN));
 | |
|   mpfr_atan (res0, res0, MPFR_RNDU);
 | |
|   mpfr_init2 (res1, fp_formats[format].mant_dig);
 | |
|   assert_exact (mpfr_set_si (res1, 1, MPFR_RNDN));
 | |
|   mpfr_atan (res1, res1, MPFR_RNDD);
 | |
|   return 2;
 | |
| }
 | |
| 
 | |
| static size_t
 | |
| special_fill_pi_6 (mpfr_t res0, mpfr_t res1, fp_format format)
 | |
| {
 | |
|   mpfr_init2 (res0, fp_formats[format].mant_dig);
 | |
|   assert_exact (mpfr_set_si_2exp (res0, 1, -1, MPFR_RNDN));
 | |
|   mpfr_asin (res0, res0, MPFR_RNDU);
 | |
|   mpfr_init2 (res1, fp_formats[format].mant_dig);
 | |
|   assert_exact (mpfr_set_si_2exp (res1, 1, -1, MPFR_RNDN));
 | |
|   mpfr_asin (res1, res1, MPFR_RNDD);
 | |
|   return 2;
 | |
| }
 | |
| 
 | |
| static size_t
 | |
| special_fill_minus_pi_6 (mpfr_t res0, mpfr_t res1, fp_format format)
 | |
| {
 | |
|   mpfr_init2 (res0, fp_formats[format].mant_dig);
 | |
|   assert_exact (mpfr_set_si_2exp (res0, -1, -1, MPFR_RNDN));
 | |
|   mpfr_asin (res0, res0, MPFR_RNDU);
 | |
|   mpfr_init2 (res1, fp_formats[format].mant_dig);
 | |
|   assert_exact (mpfr_set_si_2exp (res1, -1, -1, MPFR_RNDN));
 | |
|   mpfr_asin (res1, res1, MPFR_RNDD);
 | |
|   return 2;
 | |
| }
 | |
| 
 | |
| static size_t
 | |
| special_fill_pi_3 (mpfr_t res0, mpfr_t res1, fp_format format)
 | |
| {
 | |
|   mpfr_init2 (res0, fp_formats[format].mant_dig);
 | |
|   assert_exact (mpfr_set_si_2exp (res0, 1, -1, MPFR_RNDN));
 | |
|   mpfr_acos (res0, res0, MPFR_RNDU);
 | |
|   mpfr_init2 (res1, fp_formats[format].mant_dig);
 | |
|   assert_exact (mpfr_set_si_2exp (res1, 1, -1, MPFR_RNDN));
 | |
|   mpfr_acos (res1, res1, MPFR_RNDD);
 | |
|   return 2;
 | |
| }
 | |
| 
 | |
| static size_t
 | |
| special_fill_2pi_3 (mpfr_t res0, mpfr_t res1, fp_format format)
 | |
| {
 | |
|   mpfr_init2 (res0, fp_formats[format].mant_dig);
 | |
|   assert_exact (mpfr_set_si_2exp (res0, -1, -1, MPFR_RNDN));
 | |
|   mpfr_acos (res0, res0, MPFR_RNDU);
 | |
|   mpfr_init2 (res1, fp_formats[format].mant_dig);
 | |
|   assert_exact (mpfr_set_si_2exp (res1, -1, -1, MPFR_RNDN));
 | |
|   mpfr_acos (res1, res1, MPFR_RNDD);
 | |
|   return 2;
 | |
| }
 | |
| 
 | |
| static size_t
 | |
| special_fill_2pi (mpfr_t res0, mpfr_t res1, fp_format format)
 | |
| {
 | |
|   mpfr_init2 (res0, fp_formats[format].mant_dig);
 | |
|   mpfr_const_pi (res0, MPFR_RNDU);
 | |
|   assert_exact (mpfr_mul_ui (res0, res0, 2, MPFR_RNDN));
 | |
|   mpfr_init2 (res1, fp_formats[format].mant_dig);
 | |
|   mpfr_const_pi (res1, MPFR_RNDD);
 | |
|   assert_exact (mpfr_mul_ui (res1, res1, 2, MPFR_RNDN));
 | |
|   return 2;
 | |
| }
 | |
| 
 | |
| static size_t
 | |
| special_fill_e (mpfr_t res0, mpfr_t res1, fp_format format)
 | |
| {
 | |
|   mpfr_init2 (res0, fp_formats[format].mant_dig);
 | |
|   assert_exact (mpfr_set_si (res0, 1, MPFR_RNDN));
 | |
|   mpfr_exp (res0, res0, MPFR_RNDU);
 | |
|   mpfr_init2 (res1, fp_formats[format].mant_dig);
 | |
|   assert_exact (mpfr_set_si (res1, 1, MPFR_RNDN));
 | |
|   mpfr_exp (res1, res1, MPFR_RNDD);
 | |
|   return 2;
 | |
| }
 | |
| 
 | |
| static size_t
 | |
| special_fill_1_e (mpfr_t res0, mpfr_t res1, fp_format format)
 | |
| {
 | |
|   mpfr_init2 (res0, fp_formats[format].mant_dig);
 | |
|   assert_exact (mpfr_set_si (res0, -1, MPFR_RNDN));
 | |
|   mpfr_exp (res0, res0, MPFR_RNDU);
 | |
|   mpfr_init2 (res1, fp_formats[format].mant_dig);
 | |
|   assert_exact (mpfr_set_si (res1, -1, MPFR_RNDN));
 | |
|   mpfr_exp (res1, res1, MPFR_RNDD);
 | |
|   return 2;
 | |
| }
 | |
| 
 | |
| static size_t
 | |
| special_fill_e_minus_1 (mpfr_t res0, mpfr_t res1, fp_format format)
 | |
| {
 | |
|   mpfr_init2 (res0, fp_formats[format].mant_dig);
 | |
|   assert_exact (mpfr_set_si (res0, 1, MPFR_RNDN));
 | |
|   mpfr_expm1 (res0, res0, MPFR_RNDU);
 | |
|   mpfr_init2 (res1, fp_formats[format].mant_dig);
 | |
|   assert_exact (mpfr_set_si (res1, 1, MPFR_RNDN));
 | |
|   mpfr_expm1 (res1, res1, MPFR_RNDD);
 | |
|   return 2;
 | |
| }
 | |
| 
 | |
| /* A special string accepted in input arguments.  */
 | |
| typedef struct
 | |
| {
 | |
|   /* The string.  */
 | |
|   const char *str;
 | |
|   /* The function that interprets it for a given floating-point
 | |
|      format, filling in up to two mpfr_t values and returning the
 | |
|      number of values filled.  */
 | |
|   size_t (*func) (mpfr_t, mpfr_t, fp_format);
 | |
| } special_real_input;
 | |
| 
 | |
| /* List of special strings accepted in input arguments.  */
 | |
| 
 | |
| static const special_real_input special_real_inputs[] =
 | |
|   {
 | |
|     { "max", special_fill_max },
 | |
|     { "-max", special_fill_minus_max },
 | |
|     { "min", special_fill_min },
 | |
|     { "-min", special_fill_minus_min },
 | |
|     { "min_subnorm", special_fill_min_subnorm },
 | |
|     { "-min_subnorm", special_fill_minus_min_subnorm },
 | |
|     { "min_subnorm_p120", special_fill_min_subnorm_p120 },
 | |
|     { "pi", special_fill_pi },
 | |
|     { "-pi", special_fill_minus_pi },
 | |
|     { "pi/2", special_fill_pi_2 },
 | |
|     { "-pi/2", special_fill_minus_pi_2 },
 | |
|     { "pi/4", special_fill_pi_4 },
 | |
|     { "pi/6", special_fill_pi_6 },
 | |
|     { "-pi/6", special_fill_minus_pi_6 },
 | |
|     { "pi/3", special_fill_pi_3 },
 | |
|     { "2pi/3", special_fill_2pi_3 },
 | |
|     { "2pi", special_fill_2pi },
 | |
|     { "e", special_fill_e },
 | |
|     { "1/e", special_fill_1_e },
 | |
|     { "e-1", special_fill_e_minus_1 },
 | |
|   };
 | |
| 
 | |
| /* Given a real number R computed in round-to-zero mode, set the
 | |
|    lowest bit as a sticky bit if INEXACT, and saturate the exponent
 | |
|    range for very large or small values.  */
 | |
| 
 | |
| static void
 | |
| adjust_real (mpfr_t r, bool inexact)
 | |
| {
 | |
|   if (!inexact)
 | |
|     return;
 | |
|   /* NaNs are exact, as are infinities in round-to-zero mode.  */
 | |
|   assert (mpfr_number_p (r));
 | |
|   if (mpfr_cmpabs (r, global_min) < 0)
 | |
|     assert_exact (mpfr_copysign (r, global_min, r, MPFR_RNDN));
 | |
|   else if (mpfr_cmpabs (r, global_max) > 0)
 | |
|     assert_exact (mpfr_copysign (r, global_max, r, MPFR_RNDN));
 | |
|   else
 | |
|     {
 | |
|       mpz_t tmp;
 | |
|       mpz_init (tmp);
 | |
|       mpfr_exp_t e = mpfr_get_z_2exp (tmp, r);
 | |
|       if (mpz_sgn (tmp) < 0)
 | |
| 	{
 | |
| 	  mpz_neg (tmp, tmp);
 | |
| 	  mpz_setbit (tmp, 0);
 | |
| 	  mpz_neg (tmp, tmp);
 | |
| 	}
 | |
|       else
 | |
| 	mpz_setbit (tmp, 0);
 | |
|       assert_exact (mpfr_set_z_2exp (r, tmp, e, MPFR_RNDN));
 | |
|       mpz_clear (tmp);
 | |
|     }
 | |
| }
 | |
| 
 | |
| /* Given a finite real number R with sticky bit, compute the roundings
 | |
|    to FORMAT in each rounding mode, storing the results in RES, the
 | |
|    before-rounding exceptions in EXC_BEFORE and the after-rounding
 | |
|    exceptions in EXC_AFTER.  */
 | |
| 
 | |
| static void
 | |
| round_real (mpfr_t res[rm_num_modes],
 | |
| 	    unsigned int exc_before[rm_num_modes],
 | |
| 	    unsigned int exc_after[rm_num_modes],
 | |
| 	    mpfr_t r, fp_format format)
 | |
| {
 | |
|   assert (mpfr_number_p (r));
 | |
|   for (rounding_mode m = rm_first_mode; m < rm_num_modes; m++)
 | |
|     {
 | |
|       mpfr_init2 (res[m], fp_formats[format].mant_dig);
 | |
|       exc_before[m] = exc_after[m] = 0;
 | |
|       bool inexact = mpfr_set (res[m], r, rounding_modes[m].mpfr_mode);
 | |
|       if (mpfr_cmpabs (res[m], fp_formats[format].max) > 0)
 | |
| 	{
 | |
| 	  inexact = true;
 | |
| 	  exc_before[m] |= 1U << exc_overflow;
 | |
| 	  exc_after[m] |= 1U << exc_overflow;
 | |
| 	  bool overflow_inf;
 | |
| 	  switch (m)
 | |
| 	    {
 | |
| 	    case rm_tonearest:
 | |
| 	      overflow_inf = true;
 | |
| 	      break;
 | |
| 	    case rm_towardzero:
 | |
| 	      overflow_inf = false;
 | |
| 	      break;
 | |
| 	    case rm_downward:
 | |
| 	      overflow_inf = mpfr_signbit (res[m]);
 | |
| 	      break;
 | |
| 	    case rm_upward:
 | |
| 	      overflow_inf = !mpfr_signbit (res[m]);
 | |
| 	      break;
 | |
| 	    default:
 | |
| 	      abort ();
 | |
| 	    }
 | |
| 	  if (overflow_inf)
 | |
| 	    mpfr_set_inf (res[m], mpfr_signbit (res[m]) ? -1 : 1);
 | |
| 	  else
 | |
| 	    assert_exact (mpfr_copysign (res[m], fp_formats[format].max,
 | |
| 					 res[m], MPFR_RNDN));
 | |
| 	}
 | |
|       if (mpfr_cmpabs (r, fp_formats[format].min) < 0)
 | |
| 	{
 | |
| 	  /* Tiny before rounding; may or may not be tiny after
 | |
| 	     rounding, and underflow applies only if also inexact
 | |
| 	     around rounding to a possibly subnormal value.  */
 | |
| 	  bool tiny_after_rounding
 | |
| 	    = mpfr_cmpabs (res[m], fp_formats[format].min) < 0;
 | |
| 	  /* To round to a possibly subnormal value, and determine
 | |
| 	     inexactness as a subnormal in the process, scale up and
 | |
| 	     round to integer, then scale back down.  */
 | |
| 	  mpfr_t tmp;
 | |
| 	  mpfr_init (tmp);
 | |
| 	  assert_exact (mpfr_mul_2si (tmp, r, (fp_formats[format].mant_dig
 | |
| 					       - fp_formats[format].min_exp),
 | |
| 				      MPFR_RNDN));
 | |
| 	  int rint_res = mpfr_rint (tmp, tmp, rounding_modes[m].mpfr_mode);
 | |
| 	  /* The integer must be representable.  */
 | |
| 	  assert (rint_res == 0 || rint_res == 2 || rint_res == -2);
 | |
| 	  /* If rounding to full precision was inexact, so must
 | |
| 	     rounding to subnormal precision be inexact.  */
 | |
| 	  if (inexact)
 | |
| 	    assert (rint_res != 0);
 | |
| 	  else
 | |
| 	    inexact = rint_res != 0;
 | |
| 	  assert_exact (mpfr_mul_2si (res[m], tmp,
 | |
| 				      (fp_formats[format].min_exp
 | |
| 				       - fp_formats[format].mant_dig),
 | |
| 				      MPFR_RNDN));
 | |
| 	  mpfr_clear (tmp);
 | |
| 	  if (inexact)
 | |
| 	    {
 | |
| 	      exc_before[m] |= 1U << exc_underflow;
 | |
| 	      if (tiny_after_rounding)
 | |
| 		exc_after[m] |= 1U << exc_underflow;
 | |
| 	    }
 | |
| 	}
 | |
|       if (inexact)
 | |
| 	{
 | |
| 	  exc_before[m] |= 1U << exc_inexact;
 | |
| 	  exc_after[m] |= 1U << exc_inexact;
 | |
| 	}
 | |
|     }
 | |
| }
 | |
| 
 | |
| /* Handle the input argument at ARG (NUL-terminated), updating the
 | |
|    lists of test inputs in IT accordingly.  NUM_PREV_ARGS arguments
 | |
|    are already in those lists.  If EXACT_ARGS, interpret a value given
 | |
|    as a floating-point constant exactly (it must be exact for some
 | |
|    supported format) rather than rounding up and down.  The argument,
 | |
|    of type GTYPE, comes from file FILENAME, line LINENO.  */
 | |
| 
 | |
| static void
 | |
| handle_input_arg (const char *arg, input_test *it, size_t num_prev_args,
 | |
| 		  generic_value_type gtype, bool exact_args,
 | |
| 		  const char *filename, unsigned int lineno)
 | |
| {
 | |
|   size_t num_values = 0;
 | |
|   generic_value values[2 * fp_num_formats];
 | |
|   bool check_empty_list = false;
 | |
|   switch (gtype)
 | |
|     {
 | |
|     case gtype_fp:
 | |
|       for (fp_format f = fp_first_format; f < fp_num_formats; f++)
 | |
| 	{
 | |
| 	  mpfr_t extra_values[2];
 | |
| 	  size_t num_extra_values = 0;
 | |
| 	  for (size_t i = 0; i < ARRAY_SIZE (special_real_inputs); i++)
 | |
| 	    {
 | |
| 	      if (strcmp (arg, special_real_inputs[i].str) == 0)
 | |
| 		{
 | |
| 		  num_extra_values
 | |
| 		    = special_real_inputs[i].func (extra_values[0],
 | |
| 						   extra_values[1], f);
 | |
| 		  assert (num_extra_values > 0
 | |
| 			  && num_extra_values <= ARRAY_SIZE (extra_values));
 | |
| 		  break;
 | |
| 		}
 | |
| 	    }
 | |
| 	  if (num_extra_values == 0)
 | |
| 	    {
 | |
| 	      mpfr_t tmp;
 | |
| 	      char *ep;
 | |
| 	      if (exact_args)
 | |
| 		check_empty_list = true;
 | |
| 	      mpfr_init (tmp);
 | |
| 	      bool inexact = mpfr_strtofr (tmp, arg, &ep, 0, MPFR_RNDZ);
 | |
| 	      if (*ep != 0 || !mpfr_number_p (tmp))
 | |
| 		error_at_line (EXIT_FAILURE, 0, filename, lineno,
 | |
| 			       "bad floating-point argument: '%s'", arg);
 | |
| 	      adjust_real (tmp, inexact);
 | |
| 	      mpfr_t rounded[rm_num_modes];
 | |
| 	      unsigned int exc_before[rm_num_modes];
 | |
| 	      unsigned int exc_after[rm_num_modes];
 | |
| 	      round_real (rounded, exc_before, exc_after, tmp, f);
 | |
| 	      mpfr_clear (tmp);
 | |
| 	      if (mpfr_number_p (rounded[rm_upward])
 | |
| 		  && (!exact_args || mpfr_equal_p (rounded[rm_upward],
 | |
| 						   rounded[rm_downward])))
 | |
| 		{
 | |
| 		  mpfr_init2 (extra_values[num_extra_values],
 | |
| 			      fp_formats[f].mant_dig);
 | |
| 		  assert_exact (mpfr_set (extra_values[num_extra_values],
 | |
| 					  rounded[rm_upward], MPFR_RNDN));
 | |
| 		  num_extra_values++;
 | |
| 		}
 | |
| 	      if (mpfr_number_p (rounded[rm_downward]) && !exact_args)
 | |
| 		{
 | |
| 		  mpfr_init2 (extra_values[num_extra_values],
 | |
| 			      fp_formats[f].mant_dig);
 | |
| 		  assert_exact (mpfr_set (extra_values[num_extra_values],
 | |
| 					  rounded[rm_downward], MPFR_RNDN));
 | |
| 		  num_extra_values++;
 | |
| 		}
 | |
| 	      for (rounding_mode m = rm_first_mode; m < rm_num_modes; m++)
 | |
| 		mpfr_clear (rounded[m]);
 | |
| 	    }
 | |
| 	  for (size_t i = 0; i < num_extra_values; i++)
 | |
| 	    {
 | |
| 	      bool found = false;
 | |
| 	      for (size_t j = 0; j < num_values; j++)
 | |
| 		{
 | |
| 		  if (mpfr_equal_p (values[j].value.f, extra_values[i])
 | |
| 		      && ((mpfr_signbit (values[j].value.f) != 0)
 | |
| 			  == (mpfr_signbit (extra_values[i]) != 0)))
 | |
| 		    {
 | |
| 		      found = true;
 | |
| 		      break;
 | |
| 		    }
 | |
| 		}
 | |
| 	      if (!found)
 | |
| 		{
 | |
| 		  assert (num_values < ARRAY_SIZE (values));
 | |
| 		  values[num_values].type = gtype_fp;
 | |
| 		  mpfr_init2 (values[num_values].value.f,
 | |
| 			      fp_formats[f].mant_dig);
 | |
| 		  assert_exact (mpfr_set (values[num_values].value.f,
 | |
| 					  extra_values[i], MPFR_RNDN));
 | |
| 		  num_values++;
 | |
| 		}
 | |
| 	      mpfr_clear (extra_values[i]);
 | |
| 	    }
 | |
| 	}
 | |
|       break;
 | |
| 
 | |
|     case gtype_int:
 | |
|       num_values = 1;
 | |
|       values[0].type = gtype_int;
 | |
|       int ret = mpz_init_set_str (values[0].value.i, arg, 0);
 | |
|       if (ret != 0)
 | |
| 	error_at_line (EXIT_FAILURE, 0, filename, lineno,
 | |
| 		       "bad integer argument: '%s'", arg);
 | |
|       break;
 | |
| 
 | |
|     default:
 | |
|       abort ();
 | |
|     }
 | |
|   if (check_empty_list && num_values == 0)
 | |
|     error_at_line (EXIT_FAILURE, 0, filename, lineno,
 | |
| 		   "floating-point argument not exact for any format: '%s'",
 | |
| 		   arg);
 | |
|   assert (num_values > 0 && num_values <= ARRAY_SIZE (values));
 | |
|   if (it->num_input_cases >= SIZE_MAX / num_values)
 | |
|     error_at_line (EXIT_FAILURE, 0, filename, lineno, "too many input cases");
 | |
|   generic_value **old_inputs = it->inputs;
 | |
|   size_t new_num_input_cases = it->num_input_cases * num_values;
 | |
|   generic_value **new_inputs = xmalloc (new_num_input_cases
 | |
| 					* sizeof (new_inputs[0]));
 | |
|   for (size_t i = 0; i < it->num_input_cases; i++)
 | |
|     {
 | |
|       for (size_t j = 0; j < num_values; j++)
 | |
| 	{
 | |
| 	  size_t idx = i * num_values + j;
 | |
| 	  new_inputs[idx] = xmalloc ((num_prev_args + 1)
 | |
| 				     * sizeof (new_inputs[idx][0]));
 | |
| 	  for (size_t k = 0; k < num_prev_args; k++)
 | |
| 	    generic_value_copy (&new_inputs[idx][k], &old_inputs[i][k]);
 | |
| 	  generic_value_copy (&new_inputs[idx][num_prev_args], &values[j]);
 | |
| 	}
 | |
|       for (size_t j = 0; j < num_prev_args; j++)
 | |
| 	generic_value_free (&old_inputs[i][j]);
 | |
|       free (old_inputs[i]);
 | |
|     }
 | |
|   free (old_inputs);
 | |
|   for (size_t i = 0; i < num_values; i++)
 | |
|     generic_value_free (&values[i]);
 | |
|   it->inputs = new_inputs;
 | |
|   it->num_input_cases = new_num_input_cases;
 | |
| }
 | |
| 
 | |
| /* Handle the input flag ARG (NUL-terminated), storing it in *FLAG.
 | |
|    The flag comes from file FILENAME, line LINENO.  */
 | |
| 
 | |
| static void
 | |
| handle_input_flag (char *arg, input_flag *flag,
 | |
| 		   const char *filename, unsigned int lineno)
 | |
| {
 | |
|   char *ep = strchr (arg, ':');
 | |
|   if (ep == NULL)
 | |
|     {
 | |
|       ep = strchr (arg, 0);
 | |
|       assert (ep != NULL);
 | |
|     }
 | |
|   char c = *ep;
 | |
|   *ep = 0;
 | |
|   bool found = false;
 | |
|   for (input_flag_type i = flag_first_flag; i <= num_input_flag_types; i++)
 | |
|     {
 | |
|       if (strcmp (arg, input_flags[i]) == 0)
 | |
| 	{
 | |
| 	  found = true;
 | |
| 	  flag->type = i;
 | |
| 	  break;
 | |
| 	}
 | |
|     }
 | |
|   if (!found)
 | |
|     error_at_line (EXIT_FAILURE, 0, filename, lineno, "unknown flag: '%s'",
 | |
| 		   arg);
 | |
|   *ep = c;
 | |
|   if (c == 0)
 | |
|     flag->cond = NULL;
 | |
|   else
 | |
|     flag->cond = xstrdup (ep);
 | |
| }
 | |
| 
 | |
| /* Add the test LINE (file FILENAME, line LINENO) to the test
 | |
|    data.  */
 | |
| 
 | |
| static void
 | |
| add_test (char *line, const char *filename, unsigned int lineno)
 | |
| {
 | |
|   size_t num_tokens = 1;
 | |
|   char *p = line;
 | |
|   while ((p = strchr (p, ' ')) != NULL)
 | |
|     {
 | |
|       num_tokens++;
 | |
|       p++;
 | |
|     }
 | |
|   if (num_tokens < 2)
 | |
|     error_at_line (EXIT_FAILURE, 0, filename, lineno,
 | |
| 		   "line too short: '%s'", line);
 | |
|   p = strchr (line, ' ');
 | |
|   size_t func_name_len = p - line;
 | |
|   for (size_t i = 0; i < ARRAY_SIZE (test_functions); i++)
 | |
|     {
 | |
|       if (func_name_len == strlen (test_functions[i].name)
 | |
| 	  && strncmp (line, test_functions[i].name, func_name_len) == 0)
 | |
| 	{
 | |
| 	  test_function *tf = &test_functions[i];
 | |
| 	  if (num_tokens < 1 + tf->num_args)
 | |
| 	    error_at_line (EXIT_FAILURE, 0, filename, lineno,
 | |
| 			   "line too short: '%s'", line);
 | |
| 	  if (tf->num_tests == tf->num_tests_alloc)
 | |
| 	    {
 | |
| 	      tf->num_tests_alloc = 2 * tf->num_tests_alloc + 16;
 | |
| 	      tf->tests
 | |
| 		= xrealloc (tf->tests,
 | |
| 			    tf->num_tests_alloc * sizeof (tf->tests[0]));
 | |
| 	    }
 | |
| 	  input_test *it = &tf->tests[tf->num_tests];
 | |
| 	  it->line = line;
 | |
| 	  it->num_input_cases = 1;
 | |
| 	  it->inputs = xmalloc (sizeof (it->inputs[0]));
 | |
| 	  it->inputs[0] = NULL;
 | |
| 	  it->old_output = NULL;
 | |
| 	  p++;
 | |
| 	  for (size_t j = 0; j < tf->num_args; j++)
 | |
| 	    {
 | |
| 	      char *ep = strchr (p, ' ');
 | |
| 	      if (ep == NULL)
 | |
| 		{
 | |
| 		  ep = strchr (p, '\n');
 | |
| 		  assert (ep != NULL);
 | |
| 		}
 | |
| 	      if (ep == p)
 | |
| 		error_at_line (EXIT_FAILURE, 0, filename, lineno,
 | |
| 			       "empty token in line: '%s'", line);
 | |
| 	      for (char *t = p; t < ep; t++)
 | |
| 		if (isspace ((unsigned char) *t))
 | |
| 		  error_at_line (EXIT_FAILURE, 0, filename, lineno,
 | |
| 				 "whitespace in token in line: '%s'", line);
 | |
| 	      char c = *ep;
 | |
| 	      *ep = 0;
 | |
| 	      handle_input_arg (p, it, j,
 | |
| 				generic_arg_ret_type (tf->arg_types[j]),
 | |
| 				tf->exact_args, filename, lineno);
 | |
| 	      *ep = c;
 | |
| 	      p = ep + 1;
 | |
| 	    }
 | |
| 	  it->num_flags = num_tokens - 1 - tf->num_args;
 | |
| 	  it->flags = xmalloc (it->num_flags * sizeof (it->flags[0]));
 | |
| 	  for (size_t j = 0; j < it->num_flags; j++)
 | |
| 	    {
 | |
| 	      char *ep = strchr (p, ' ');
 | |
| 	      if (ep == NULL)
 | |
| 		{
 | |
| 		  ep = strchr (p, '\n');
 | |
| 		  assert (ep != NULL);
 | |
| 		}
 | |
| 	      if (ep == p)
 | |
| 		error_at_line (EXIT_FAILURE, 0, filename, lineno,
 | |
| 			       "empty token in line: '%s'", line);
 | |
| 	      for (char *t = p; t < ep; t++)
 | |
| 		if (isspace ((unsigned char) *t))
 | |
| 		  error_at_line (EXIT_FAILURE, 0, filename, lineno,
 | |
| 				 "whitespace in token in line: '%s'", line);
 | |
| 	      char c = *ep;
 | |
| 	      *ep = 0;
 | |
| 	      handle_input_flag (p, &it->flags[j], filename, lineno);
 | |
| 	      *ep = c;
 | |
| 	      p = ep + 1;
 | |
| 	    }
 | |
| 	  assert (*p == 0);
 | |
| 	  tf->num_tests++;
 | |
| 	  return;
 | |
| 	}
 | |
|     }
 | |
|   error_at_line (EXIT_FAILURE, 0, filename, lineno,
 | |
| 		 "unknown function in line: '%s'", line);
 | |
| }
 | |
| 
 | |
| /* Read in the test input data from FILENAME.  */
 | |
| 
 | |
| static void
 | |
| read_input (const char *filename)
 | |
| {
 | |
|   FILE *fp = fopen (filename, "r");
 | |
|   if (fp == NULL)
 | |
|     error (EXIT_FAILURE, errno, "open '%s'", filename);
 | |
|   unsigned int lineno = 0;
 | |
|   for (;;)
 | |
|     {
 | |
|       size_t size = 0;
 | |
|       char *line = NULL;
 | |
|       ssize_t ret = getline (&line, &size, fp);
 | |
|       if (ret == -1)
 | |
| 	break;
 | |
|       lineno++;
 | |
|       if (line[0] == '#' || line[0] == '\n')
 | |
| 	continue;
 | |
|       add_test (line, filename, lineno);
 | |
|     }
 | |
|   if (ferror (fp))
 | |
|     error (EXIT_FAILURE, errno, "read from '%s'", filename);
 | |
|   if (fclose (fp) != 0)
 | |
|     error (EXIT_FAILURE, errno, "close '%s'", filename);
 | |
| }
 | |
| 
 | |
| /* Calculate the generic results (round-to-zero with sticky bit) for
 | |
|    the function described by CALC, with inputs INPUTS, if MODE is
 | |
|    rm_towardzero; for other modes, calculate results in that mode,
 | |
|    which must be exact zero results.  */
 | |
| 
 | |
| static void
 | |
| calc_generic_results (generic_value *outputs, generic_value *inputs,
 | |
| 		      const func_calc_desc *calc, rounding_mode mode)
 | |
| {
 | |
|   bool inexact;
 | |
|   int mpc_ternary;
 | |
|   mpc_t ci1, ci2, co;
 | |
|   mpfr_rnd_t mode_mpfr = rounding_modes[mode].mpfr_mode;
 | |
|   mpc_rnd_t mode_mpc = rounding_modes[mode].mpc_mode;
 | |
| 
 | |
|   switch (calc->method)
 | |
|     {
 | |
|     case mpfr_f_f:
 | |
|       assert (inputs[0].type == gtype_fp);
 | |
|       outputs[0].type = gtype_fp;
 | |
|       mpfr_init (outputs[0].value.f);
 | |
|       inexact = calc->func.mpfr_f_f (outputs[0].value.f, inputs[0].value.f,
 | |
| 				     mode_mpfr);
 | |
|       if (mode != rm_towardzero)
 | |
| 	assert (!inexact && mpfr_zero_p (outputs[0].value.f));
 | |
|       adjust_real (outputs[0].value.f, inexact);
 | |
|       break;
 | |
| 
 | |
|     case mpfr_ff_f:
 | |
|       assert (inputs[0].type == gtype_fp);
 | |
|       assert (inputs[1].type == gtype_fp);
 | |
|       outputs[0].type = gtype_fp;
 | |
|       mpfr_init (outputs[0].value.f);
 | |
|       inexact = calc->func.mpfr_ff_f (outputs[0].value.f, inputs[0].value.f,
 | |
| 				      inputs[1].value.f, mode_mpfr);
 | |
|       if (mode != rm_towardzero)
 | |
| 	assert (!inexact && mpfr_zero_p (outputs[0].value.f));
 | |
|       adjust_real (outputs[0].value.f, inexact);
 | |
|       break;
 | |
| 
 | |
|     case mpfr_fff_f:
 | |
|       assert (inputs[0].type == gtype_fp);
 | |
|       assert (inputs[1].type == gtype_fp);
 | |
|       assert (inputs[2].type == gtype_fp);
 | |
|       outputs[0].type = gtype_fp;
 | |
|       mpfr_init (outputs[0].value.f);
 | |
|       inexact = calc->func.mpfr_fff_f (outputs[0].value.f, inputs[0].value.f,
 | |
| 				       inputs[1].value.f, inputs[2].value.f,
 | |
| 				       mode_mpfr);
 | |
|       if (mode != rm_towardzero)
 | |
| 	assert (!inexact && mpfr_zero_p (outputs[0].value.f));
 | |
|       adjust_real (outputs[0].value.f, inexact);
 | |
|       break;
 | |
| 
 | |
|     case mpfr_f_f1:
 | |
|       assert (inputs[0].type == gtype_fp);
 | |
|       outputs[0].type = gtype_fp;
 | |
|       outputs[1].type = gtype_int;
 | |
|       mpfr_init (outputs[0].value.f);
 | |
|       int i = 0;
 | |
|       inexact = calc->func.mpfr_f_f1 (outputs[0].value.f, &i,
 | |
| 				      inputs[0].value.f, mode_mpfr);
 | |
|       if (mode != rm_towardzero)
 | |
| 	assert (!inexact && mpfr_zero_p (outputs[0].value.f));
 | |
|       adjust_real (outputs[0].value.f, inexact);
 | |
|       mpz_init_set_si (outputs[1].value.i, i);
 | |
|       break;
 | |
| 
 | |
|     case mpfr_if_f:
 | |
|       assert (inputs[0].type == gtype_int);
 | |
|       assert (inputs[1].type == gtype_fp);
 | |
|       outputs[0].type = gtype_fp;
 | |
|       mpfr_init (outputs[0].value.f);
 | |
|       assert (mpz_fits_slong_p (inputs[0].value.i));
 | |
|       long l = mpz_get_si (inputs[0].value.i);
 | |
|       inexact = calc->func.mpfr_if_f (outputs[0].value.f, l,
 | |
| 				      inputs[1].value.f, mode_mpfr);
 | |
|       if (mode != rm_towardzero)
 | |
| 	assert (!inexact && mpfr_zero_p (outputs[0].value.f));
 | |
|       adjust_real (outputs[0].value.f, inexact);
 | |
|       break;
 | |
| 
 | |
|     case mpfr_f_11:
 | |
|       assert (inputs[0].type == gtype_fp);
 | |
|       outputs[0].type = gtype_fp;
 | |
|       mpfr_init (outputs[0].value.f);
 | |
|       outputs[1].type = gtype_fp;
 | |
|       mpfr_init (outputs[1].value.f);
 | |
|       int comb_ternary = calc->func.mpfr_f_11 (outputs[0].value.f,
 | |
| 					       outputs[1].value.f,
 | |
| 					       inputs[0].value.f,
 | |
| 					       mode_mpfr);
 | |
|       if (mode != rm_towardzero)
 | |
| 	assert (((comb_ternary & 0x3) == 0
 | |
| 		 && mpfr_zero_p (outputs[0].value.f))
 | |
| 		|| ((comb_ternary & 0xc) == 0
 | |
| 		    && mpfr_zero_p (outputs[1].value.f)));
 | |
|       adjust_real (outputs[0].value.f, (comb_ternary & 0x3) != 0);
 | |
|       adjust_real (outputs[1].value.f, (comb_ternary & 0xc) != 0);
 | |
|       break;
 | |
| 
 | |
|     case mpc_c_f:
 | |
|       assert (inputs[0].type == gtype_fp);
 | |
|       assert (inputs[1].type == gtype_fp);
 | |
|       outputs[0].type = gtype_fp;
 | |
|       mpfr_init (outputs[0].value.f);
 | |
|       mpc_init2 (ci1, internal_precision);
 | |
|       assert_exact (mpc_set_fr_fr (ci1, inputs[0].value.f, inputs[1].value.f,
 | |
| 				   MPC_RNDNN));
 | |
|       inexact = calc->func.mpc_c_f (outputs[0].value.f, ci1, mode_mpfr);
 | |
|       if (mode != rm_towardzero)
 | |
| 	assert (!inexact && mpfr_zero_p (outputs[0].value.f));
 | |
|       adjust_real (outputs[0].value.f, inexact);
 | |
|       mpc_clear (ci1);
 | |
|       break;
 | |
| 
 | |
|     case mpc_c_c:
 | |
|       assert (inputs[0].type == gtype_fp);
 | |
|       assert (inputs[1].type == gtype_fp);
 | |
|       outputs[0].type = gtype_fp;
 | |
|       mpfr_init (outputs[0].value.f);
 | |
|       outputs[1].type = gtype_fp;
 | |
|       mpfr_init (outputs[1].value.f);
 | |
|       mpc_init2 (ci1, internal_precision);
 | |
|       mpc_init2 (co, internal_precision);
 | |
|       assert_exact (mpc_set_fr_fr (ci1, inputs[0].value.f, inputs[1].value.f,
 | |
| 				   MPC_RNDNN));
 | |
|       mpc_ternary = calc->func.mpc_c_c (co, ci1, mode_mpc);
 | |
|       if (mode != rm_towardzero)
 | |
| 	assert ((!MPC_INEX_RE (mpc_ternary)
 | |
| 		 && mpfr_zero_p (mpc_realref (co)))
 | |
| 		|| (!MPC_INEX_IM (mpc_ternary)
 | |
| 		    && mpfr_zero_p (mpc_imagref (co))));
 | |
|       assert_exact (mpfr_set (outputs[0].value.f, mpc_realref (co),
 | |
| 			      MPFR_RNDN));
 | |
|       assert_exact (mpfr_set (outputs[1].value.f, mpc_imagref (co),
 | |
| 			      MPFR_RNDN));
 | |
|       adjust_real (outputs[0].value.f, MPC_INEX_RE (mpc_ternary));
 | |
|       adjust_real (outputs[1].value.f, MPC_INEX_IM (mpc_ternary));
 | |
|       mpc_clear (ci1);
 | |
|       mpc_clear (co);
 | |
|       break;
 | |
| 
 | |
|     case mpc_cc_c:
 | |
|       assert (inputs[0].type == gtype_fp);
 | |
|       assert (inputs[1].type == gtype_fp);
 | |
|       assert (inputs[2].type == gtype_fp);
 | |
|       assert (inputs[3].type == gtype_fp);
 | |
|       outputs[0].type = gtype_fp;
 | |
|       mpfr_init (outputs[0].value.f);
 | |
|       outputs[1].type = gtype_fp;
 | |
|       mpfr_init (outputs[1].value.f);
 | |
|       mpc_init2 (ci1, internal_precision);
 | |
|       mpc_init2 (ci2, internal_precision);
 | |
|       mpc_init2 (co, internal_precision);
 | |
|       assert_exact (mpc_set_fr_fr (ci1, inputs[0].value.f, inputs[1].value.f,
 | |
| 				   MPC_RNDNN));
 | |
|       assert_exact (mpc_set_fr_fr (ci2, inputs[2].value.f, inputs[3].value.f,
 | |
| 				   MPC_RNDNN));
 | |
|       mpc_ternary = calc->func.mpc_cc_c (co, ci1, ci2, mode_mpc);
 | |
|       if (mode != rm_towardzero)
 | |
| 	assert ((!MPC_INEX_RE (mpc_ternary)
 | |
| 		 && mpfr_zero_p (mpc_realref (co)))
 | |
| 		|| (!MPC_INEX_IM (mpc_ternary)
 | |
| 		    && mpfr_zero_p (mpc_imagref (co))));
 | |
|       assert_exact (mpfr_set (outputs[0].value.f, mpc_realref (co),
 | |
| 			      MPFR_RNDN));
 | |
|       assert_exact (mpfr_set (outputs[1].value.f, mpc_imagref (co),
 | |
| 			      MPFR_RNDN));
 | |
|       adjust_real (outputs[0].value.f, MPC_INEX_RE (mpc_ternary));
 | |
|       adjust_real (outputs[1].value.f, MPC_INEX_IM (mpc_ternary));
 | |
|       mpc_clear (ci1);
 | |
|       mpc_clear (ci2);
 | |
|       mpc_clear (co);
 | |
|       break;
 | |
| 
 | |
|     default:
 | |
|       abort ();
 | |
|     }
 | |
| }
 | |
| 
 | |
| /* Return the number of bits for integer type TYPE, where "long" has
 | |
|    LONG_BITS bits (32 or 64).  */
 | |
| 
 | |
| static int
 | |
| int_type_bits (arg_ret_type type, int long_bits)
 | |
| {
 | |
|   assert (long_bits == 32 || long_bits == 64);
 | |
|   switch (type)
 | |
|     {
 | |
|     case type_int:
 | |
|       return 32;
 | |
|       break;
 | |
| 
 | |
|     case type_long:
 | |
|       return long_bits;
 | |
|       break;
 | |
| 
 | |
|     case type_long_long:
 | |
|       return 64;
 | |
|       break;
 | |
| 
 | |
|     default:
 | |
|       abort ();
 | |
|     }
 | |
| }
 | |
| 
 | |
| /* Check whether an integer Z fits a given type TYPE, where "long" has
 | |
|    LONG_BITS bits (32 or 64).  */
 | |
| 
 | |
| static bool
 | |
| int_fits_type (mpz_t z, arg_ret_type type, int long_bits)
 | |
| {
 | |
|   int bits = int_type_bits (type, long_bits);
 | |
|   bool ret = true;
 | |
|   mpz_t t;
 | |
|   mpz_init (t);
 | |
|   mpz_ui_pow_ui (t, 2, bits - 1);
 | |
|   if (mpz_cmp (z, t) >= 0)
 | |
|     ret = false;
 | |
|   mpz_neg (t, t);
 | |
|   if (mpz_cmp (z, t) < 0)
 | |
|     ret = false;
 | |
|   mpz_clear (t);
 | |
|   return ret;
 | |
| }
 | |
| 
 | |
| /* Print a generic value V to FP (name FILENAME), preceded by a space,
 | |
|    for type TYPE, floating-point format FORMAT, LONG_BITS bits per
 | |
|    long, printing " IGNORE" instead if IGNORE.  */
 | |
| 
 | |
| static void
 | |
| output_generic_value (FILE *fp, const char *filename, const generic_value *v,
 | |
| 		      bool ignore, arg_ret_type type, fp_format format,
 | |
| 		      int long_bits)
 | |
| {
 | |
|   if (ignore)
 | |
|     {
 | |
|       if (fputs (" IGNORE", fp) < 0)
 | |
| 	error (EXIT_FAILURE, errno, "write to '%s'", filename);
 | |
|       return;
 | |
|     }
 | |
|   assert (v->type == generic_arg_ret_type (type));
 | |
|   const char *suffix;
 | |
|   switch (type)
 | |
|     {
 | |
|     case type_fp:
 | |
|       suffix = fp_formats[format].suffix;
 | |
|       break;
 | |
| 
 | |
|     case type_int:
 | |
|       suffix = "";
 | |
|       break;
 | |
| 
 | |
|     case type_long:
 | |
|       suffix = "L";
 | |
|       break;
 | |
| 
 | |
|     case type_long_long:
 | |
|       suffix = "LL";
 | |
|       break;
 | |
| 
 | |
|     default:
 | |
|       abort ();
 | |
|     }
 | |
|   switch (v->type)
 | |
|     {
 | |
|     case gtype_fp:
 | |
|       if (mpfr_inf_p (v->value.f))
 | |
| 	{
 | |
| 	  if (fputs ((mpfr_signbit (v->value.f)
 | |
| 		      ? " minus_infty" : " plus_infty"), fp) < 0)
 | |
| 	    error (EXIT_FAILURE, errno, "write to '%s'", filename);
 | |
| 	}
 | |
|       else
 | |
| 	{
 | |
| 	  assert (mpfr_number_p (v->value.f));
 | |
| 	  if (mpfr_fprintf (fp, " %Ra%s", v->value.f, suffix) < 0)
 | |
| 	    error (EXIT_FAILURE, errno, "mpfr_fprintf to '%s'", filename);
 | |
| 	}
 | |
|       break;
 | |
| 
 | |
|     case gtype_int: ;
 | |
|       int bits = int_type_bits (type, long_bits);
 | |
|       mpz_t tmp;
 | |
|       mpz_init (tmp);
 | |
|       mpz_ui_pow_ui (tmp, 2, bits - 1);
 | |
|       mpz_neg (tmp, tmp);
 | |
|       if (mpz_cmp (v->value.i, tmp) == 0)
 | |
| 	{
 | |
| 	  mpz_add_ui (tmp, tmp, 1);
 | |
| 	  if (mpfr_fprintf (fp, " (%Zd%s-1)", tmp, suffix) < 0)
 | |
| 	    error (EXIT_FAILURE, errno, "mpfr_fprintf to '%s'", filename);
 | |
| 	}
 | |
|       else
 | |
| 	{
 | |
| 	  if (mpfr_fprintf (fp, " %Zd%s", v->value.i, suffix) < 0)
 | |
| 	    error (EXIT_FAILURE, errno, "mpfr_fprintf to '%s'", filename);
 | |
| 	}
 | |
|       mpz_clear (tmp);
 | |
|       break;
 | |
| 
 | |
|     default:
 | |
|       abort ();
 | |
|     }
 | |
| }
 | |
| 
 | |
| /* Generate test output to FP (name FILENAME) for test function TF,
 | |
|    input test IT, choice of input values INPUTS.  */
 | |
| 
 | |
| static void
 | |
| output_for_one_input_case (FILE *fp, const char *filename, test_function *tf,
 | |
| 			   input_test *it, generic_value *inputs)
 | |
| {
 | |
|   bool long_bits_matters = false;
 | |
|   bool fits_long32 = true;
 | |
|   for (size_t i = 0; i < tf->num_args; i++)
 | |
|     {
 | |
|       generic_value_type gtype = generic_arg_ret_type (tf->arg_types[i]);
 | |
|       assert (inputs[i].type == gtype);
 | |
|       if (gtype == gtype_int)
 | |
| 	{
 | |
| 	  bool fits_64 = int_fits_type (inputs[i].value.i, tf->arg_types[i],
 | |
| 					64);
 | |
| 	  if (!fits_64)
 | |
| 	    return;
 | |
| 	  if (tf->arg_types[i] == type_long
 | |
| 	      && !int_fits_type (inputs[i].value.i, tf->arg_types[i], 32))
 | |
| 	    {
 | |
| 	      long_bits_matters = true;
 | |
| 	      fits_long32 = false;
 | |
| 	    }
 | |
| 	}
 | |
|     }
 | |
|   generic_value generic_outputs[MAX_NRET];
 | |
|   calc_generic_results (generic_outputs, inputs, &tf->calc, rm_towardzero);
 | |
|   bool ignore_output_long32[MAX_NRET] = { false };
 | |
|   bool ignore_output_long64[MAX_NRET] = { false };
 | |
|   for (size_t i = 0; i < tf->num_ret; i++)
 | |
|     {
 | |
|       assert (generic_outputs[i].type
 | |
| 	      == generic_arg_ret_type (tf->ret_types[i]));
 | |
|       switch (generic_outputs[i].type)
 | |
| 	{
 | |
| 	case gtype_fp:
 | |
| 	  if (!mpfr_number_p (generic_outputs[i].value.f))
 | |
| 	    goto out; /* Result is NaN or exact infinity.  */
 | |
| 	  break;
 | |
| 
 | |
| 	case gtype_int:
 | |
| 	  ignore_output_long32[i] = !int_fits_type (generic_outputs[i].value.i,
 | |
| 						    tf->ret_types[i], 32);
 | |
| 	  ignore_output_long64[i] = !int_fits_type (generic_outputs[i].value.i,
 | |
| 						    tf->ret_types[i], 64);
 | |
| 	  if (ignore_output_long32[i] != ignore_output_long64[i])
 | |
| 	    long_bits_matters = true;
 | |
| 	  break;
 | |
| 
 | |
| 	default:
 | |
| 	  abort ();
 | |
| 	}
 | |
|     }
 | |
|   /* Iterate over relevant sizes of long and floating-point formats.  */
 | |
|   for (int long_bits = 32; long_bits <= 64; long_bits += 32)
 | |
|     {
 | |
|       if (long_bits == 32 && !fits_long32)
 | |
| 	continue;
 | |
|       if (long_bits == 64 && !long_bits_matters)
 | |
| 	continue;
 | |
|       const char *long_cond;
 | |
|       if (long_bits_matters)
 | |
| 	long_cond = (long_bits == 32 ? ":long32" : ":long64");
 | |
|       else
 | |
| 	long_cond = "";
 | |
|       bool *ignore_output = (long_bits == 32
 | |
| 			     ? ignore_output_long32
 | |
| 			     : ignore_output_long64);
 | |
|       for (fp_format f = fp_first_format; f < fp_num_formats; f++)
 | |
| 	{
 | |
| 	  bool fits = true;
 | |
| 	  mpfr_t res[rm_num_modes];
 | |
| 	  unsigned int exc_before[rm_num_modes];
 | |
| 	  unsigned int exc_after[rm_num_modes];
 | |
| 	  for (size_t i = 0; i < tf->num_args; i++)
 | |
| 	    {
 | |
| 	      if (inputs[i].type == gtype_fp)
 | |
| 		{
 | |
| 		  round_real (res, exc_before, exc_after, inputs[i].value.f,
 | |
| 			      f);
 | |
| 		  if (!mpfr_equal_p (res[rm_tonearest], inputs[i].value.f))
 | |
| 		    fits = false;
 | |
| 		  for (rounding_mode m = rm_first_mode; m < rm_num_modes; m++)
 | |
| 		    mpfr_clear (res[m]);
 | |
| 		  if (!fits)
 | |
| 		    break;
 | |
| 		}
 | |
| 	    }
 | |
| 	  if (!fits)
 | |
| 	    continue;
 | |
| 	  /* The inputs fit this type, so compute the ideal outputs
 | |
| 	     and exceptions.  */
 | |
| 	  mpfr_t all_res[MAX_NRET][rm_num_modes];
 | |
| 	  unsigned int all_exc_before[MAX_NRET][rm_num_modes];
 | |
| 	  unsigned int all_exc_after[MAX_NRET][rm_num_modes];
 | |
| 	  unsigned int merged_exc_before[rm_num_modes] = { 0 };
 | |
| 	  unsigned int merged_exc_after[rm_num_modes] = { 0 };
 | |
| 	  /* For functions not exactly determined, track whether
 | |
| 	     underflow is required (some result is inexact, and
 | |
| 	     magnitude does not exceed the greatest magnitude
 | |
| 	     subnormal), and permitted (not an exact zero, and
 | |
| 	     magnitude does not exceed the least magnitude
 | |
| 	     normal).  */
 | |
| 	  bool must_underflow = false;
 | |
| 	  bool may_underflow = false;
 | |
| 	  for (size_t i = 0; i < tf->num_ret; i++)
 | |
| 	    {
 | |
| 	      switch (generic_outputs[i].type)
 | |
| 		{
 | |
| 		case gtype_fp:
 | |
| 		  round_real (all_res[i], all_exc_before[i], all_exc_after[i],
 | |
| 			      generic_outputs[i].value.f, f);
 | |
| 		  for (rounding_mode m = rm_first_mode; m < rm_num_modes; m++)
 | |
| 		    {
 | |
| 		      merged_exc_before[m] |= all_exc_before[i][m];
 | |
| 		      merged_exc_after[m] |= all_exc_after[i][m];
 | |
| 		      if (!tf->exact)
 | |
| 			{
 | |
| 			  must_underflow
 | |
| 			    |= ((all_exc_before[i][m]
 | |
| 				 & (1U << exc_inexact)) != 0
 | |
| 				&& (mpfr_cmpabs (generic_outputs[i].value.f,
 | |
| 						fp_formats[f].subnorm_max)
 | |
| 				    <= 0));
 | |
| 			  may_underflow
 | |
| 			    |= (!mpfr_zero_p (generic_outputs[i].value.f)
 | |
| 				&& (mpfr_cmpabs (generic_outputs[i].value.f,
 | |
| 						 fp_formats[f].min_plus_half)
 | |
| 				    <= 0));
 | |
| 			}
 | |
| 		      /* If the result is an exact zero, the sign may
 | |
| 			 depend on the rounding mode, so recompute it
 | |
| 			 directly in that mode.  */
 | |
| 		      if (mpfr_zero_p (all_res[i][m])
 | |
| 			  && (all_exc_before[i][m] & (1U << exc_inexact)) == 0)
 | |
| 			{
 | |
| 			  generic_value outputs_rm[MAX_NRET];
 | |
| 			  calc_generic_results (outputs_rm, inputs,
 | |
| 						&tf->calc, m);
 | |
| 			  assert_exact (mpfr_set (all_res[i][m],
 | |
| 						  outputs_rm[i].value.f,
 | |
| 						  MPFR_RNDN));
 | |
| 			  for (size_t j = 0; j < tf->num_ret; j++)
 | |
| 			    generic_value_free (&outputs_rm[j]);
 | |
| 			}
 | |
| 		    }
 | |
| 		  break;
 | |
| 
 | |
| 		case gtype_int:
 | |
| 		  if (ignore_output[i])
 | |
| 		    for (rounding_mode m = rm_first_mode;
 | |
| 			 m < rm_num_modes;
 | |
| 			 m++)
 | |
| 		      {
 | |
| 			merged_exc_before[m] |= 1U << exc_invalid;
 | |
| 			merged_exc_after[m] |= 1U << exc_invalid;
 | |
| 		      }
 | |
| 		  break;
 | |
| 
 | |
| 		default:
 | |
| 		  abort ();
 | |
| 		}
 | |
| 	    }
 | |
| 	  assert (may_underflow || !must_underflow);
 | |
| 	  for (rounding_mode m = rm_first_mode; m < rm_num_modes; m++)
 | |
| 	    {
 | |
| 	      bool before_after_matters
 | |
| 		= tf->exact && merged_exc_before[m] != merged_exc_after[m];
 | |
| 	      if (before_after_matters)
 | |
| 		{
 | |
| 		  assert ((merged_exc_before[m] ^ merged_exc_after[m])
 | |
| 			  == (1U << exc_underflow));
 | |
| 		  assert ((merged_exc_before[m] & (1U << exc_underflow)) != 0);
 | |
| 		}
 | |
| 	      unsigned int merged_exc = merged_exc_before[m];
 | |
| 	      if (fprintf (fp, "= %s %s %s%s", tf->name,
 | |
| 			   rounding_modes[m].name, fp_formats[f].name,
 | |
| 			   long_cond) < 0)
 | |
| 		error (EXIT_FAILURE, errno, "write to '%s'", filename);
 | |
| 	      /* Print inputs.  */
 | |
| 	      for (size_t i = 0; i < tf->num_args; i++)
 | |
| 		output_generic_value (fp, filename, &inputs[i], false,
 | |
| 				      tf->arg_types[i], f, long_bits);
 | |
| 	      if (fputs (" :", fp) < 0)
 | |
| 		error (EXIT_FAILURE, errno, "write to '%s'", filename);
 | |
| 	      /* Print outputs.  */
 | |
| 	      bool must_erange = false;
 | |
| 	      for (size_t i = 0; i < tf->num_ret; i++)
 | |
| 		{
 | |
| 		  generic_value g;
 | |
| 		  g.type = generic_outputs[i].type;
 | |
| 		  switch (g.type)
 | |
| 		    {
 | |
| 		    case gtype_fp:
 | |
| 		      if (mpfr_inf_p (all_res[i][m])
 | |
| 			  && (all_exc_before[i][m]
 | |
| 			      & (1U << exc_overflow)) != 0)
 | |
| 			must_erange = true;
 | |
| 		      if (mpfr_zero_p (all_res[i][m])
 | |
| 			  && (tf->exact
 | |
| 			      || mpfr_zero_p (all_res[i][rm_tonearest]))
 | |
| 			  && (all_exc_before[i][m]
 | |
| 			      & (1U << exc_underflow)) != 0)
 | |
| 			must_erange = true;
 | |
| 		      mpfr_init2 (g.value.f, fp_formats[f].mant_dig);
 | |
| 		      assert_exact (mpfr_set (g.value.f, all_res[i][m],
 | |
| 					      MPFR_RNDN));
 | |
| 		      break;
 | |
| 
 | |
| 		    case gtype_int:
 | |
| 		      mpz_init (g.value.i);
 | |
| 		      mpz_set (g.value.i, generic_outputs[i].value.i);
 | |
| 		      break;
 | |
| 
 | |
| 		    default:
 | |
| 		      abort ();
 | |
| 		    }
 | |
| 		  output_generic_value (fp, filename, &g, ignore_output[i],
 | |
| 					tf->ret_types[i], f, long_bits);
 | |
| 		  generic_value_free (&g);
 | |
| 		}
 | |
| 	      if (fputs (" :", fp) < 0)
 | |
| 		error (EXIT_FAILURE, errno, "write to '%s'", filename);
 | |
| 	      /* Print miscellaneous flags (passed through from
 | |
| 		 input).  */
 | |
| 	      for (size_t i = 0; i < it->num_flags; i++)
 | |
| 		switch (it->flags[i].type)
 | |
| 		  {
 | |
| 		  case flag_no_test_inline:
 | |
| 		  case flag_ignore_zero_inf_sign:
 | |
| 		  case flag_xfail:
 | |
| 		    if (fprintf (fp, " %s%s",
 | |
| 				 input_flags[it->flags[i].type],
 | |
| 				 (it->flags[i].cond
 | |
| 				  ? it->flags[i].cond
 | |
| 				  : "")) < 0)
 | |
| 		      error (EXIT_FAILURE, errno, "write to '%s'",
 | |
| 			     filename);
 | |
| 		    break;
 | |
| 		  case flag_xfail_rounding:
 | |
| 		    if (m != rm_tonearest)
 | |
| 		      if (fprintf (fp, " xfail%s",
 | |
| 				   (it->flags[i].cond
 | |
| 				    ? it->flags[i].cond
 | |
| 				    : "")) < 0)
 | |
| 			error (EXIT_FAILURE, errno, "write to '%s'",
 | |
| 			       filename);
 | |
| 		    break;
 | |
| 		  default:
 | |
| 		    break;
 | |
| 		  }
 | |
| 	      /* Print exception flags and compute errno
 | |
| 		 expectations where not already computed.  */
 | |
| 	      bool may_edom = false;
 | |
| 	      bool must_edom = false;
 | |
| 	      bool may_erange = must_erange || may_underflow;
 | |
| 	      for (fp_exception e = exc_first_exception;
 | |
| 		   e < exc_num_exceptions;
 | |
| 		   e++)
 | |
| 		{
 | |
| 		  bool expect_e = (merged_exc & (1U << e)) != 0;
 | |
| 		  bool e_optional = false;
 | |
| 		  switch (e)
 | |
| 		    {
 | |
| 		    case exc_divbyzero:
 | |
| 		      if (expect_e)
 | |
| 			may_erange = must_erange = true;
 | |
| 		      break;
 | |
| 
 | |
| 		    case exc_inexact:
 | |
| 		      if (!tf->exact)
 | |
| 			e_optional = true;
 | |
| 		      break;
 | |
| 
 | |
| 		    case exc_invalid:
 | |
| 		      if (expect_e)
 | |
| 			may_edom = must_edom = true;
 | |
| 		      break;
 | |
| 
 | |
| 		    case exc_overflow:
 | |
| 		      if (expect_e)
 | |
| 			may_erange = true;
 | |
| 		      break;
 | |
| 
 | |
| 		    case exc_underflow:
 | |
| 		      if (expect_e)
 | |
| 			may_erange = true;
 | |
| 		      if (must_underflow)
 | |
| 			assert (expect_e);
 | |
| 		      if (may_underflow && !must_underflow)
 | |
| 			e_optional = true;
 | |
| 		      break;
 | |
| 
 | |
| 		    default:
 | |
| 		      abort ();
 | |
| 		    }
 | |
| 		  if (e_optional)
 | |
| 		    {
 | |
| 		      assert (!before_after_matters);
 | |
| 		      if (fprintf (fp, " %s-ok", exceptions[e]) < 0)
 | |
| 			error (EXIT_FAILURE, errno, "write to '%s'",
 | |
| 			       filename);
 | |
| 		    }
 | |
| 		  else
 | |
| 		    {
 | |
| 		      if (expect_e)
 | |
| 			if (fprintf (fp, " %s", exceptions[e]) < 0)
 | |
| 			  error (EXIT_FAILURE, errno, "write to '%s'",
 | |
| 				 filename);
 | |
| 		      if (before_after_matters && e == exc_underflow)
 | |
| 			if (fputs (":before-rounding", fp) < 0)
 | |
| 			  error (EXIT_FAILURE, errno, "write to '%s'",
 | |
| 				 filename);
 | |
| 		      for (int after = 0; after <= 1; after++)
 | |
| 			{
 | |
| 			  bool expect_e_here = expect_e;
 | |
| 			  if (after == 1 && (!before_after_matters
 | |
| 					     || e != exc_underflow))
 | |
| 			    continue;
 | |
| 			  const char *after_cond;
 | |
| 			  if (before_after_matters && e == exc_underflow)
 | |
| 			    {
 | |
| 			      after_cond = (after
 | |
| 					    ? ":after-rounding"
 | |
| 					    : ":before-rounding");
 | |
| 			      expect_e_here = !after;
 | |
| 			    }
 | |
| 			  else
 | |
| 			    after_cond = "";
 | |
| 			  input_flag_type okflag;
 | |
| 			  okflag = (expect_e_here
 | |
| 				    ? flag_missing_first
 | |
| 				    : flag_spurious_first) + e;
 | |
| 			  for (size_t i = 0; i < it->num_flags; i++)
 | |
| 			    if (it->flags[i].type == okflag)
 | |
| 			      if (fprintf (fp, " %s-ok%s%s",
 | |
| 					   exceptions[e],
 | |
| 					   (it->flags[i].cond
 | |
| 					    ? it->flags[i].cond
 | |
| 					    : ""), after_cond) < 0)
 | |
| 				error (EXIT_FAILURE, errno, "write to '%s'",
 | |
| 				       filename);
 | |
| 			}
 | |
| 		    }
 | |
| 		}
 | |
| 	      /* Print errno expectations.  */
 | |
| 	      if (tf->complex_fn)
 | |
| 		{
 | |
| 		  must_edom = false;
 | |
| 		  must_erange = false;
 | |
| 		}
 | |
| 	      if (may_edom && !must_edom)
 | |
| 		{
 | |
| 		  if (fputs (" errno-edom-ok", fp) < 0)
 | |
| 		    error (EXIT_FAILURE, errno, "write to '%s'",
 | |
| 			   filename);
 | |
| 		}
 | |
| 	      else
 | |
| 		{
 | |
| 		  if (must_edom)
 | |
| 		    if (fputs (" errno-edom", fp) < 0)
 | |
| 		      error (EXIT_FAILURE, errno, "write to '%s'",
 | |
| 			     filename);
 | |
| 		  input_flag_type okflag = (must_edom
 | |
| 					    ? flag_missing_errno
 | |
| 					    : flag_spurious_errno);
 | |
| 		  for (size_t i = 0; i < it->num_flags; i++)
 | |
| 		    if (it->flags[i].type == okflag)
 | |
| 		      if (fprintf (fp, " errno-edom-ok%s",
 | |
| 				   (it->flags[i].cond
 | |
| 				    ? it->flags[i].cond
 | |
| 				    : "")) < 0)
 | |
| 			error (EXIT_FAILURE, errno, "write to '%s'",
 | |
| 			       filename);
 | |
| 		}
 | |
| 	      if (before_after_matters)
 | |
| 		assert (may_erange && !must_erange);
 | |
| 	      if (may_erange && !must_erange)
 | |
| 		{
 | |
| 		  if (fprintf (fp, " errno-erange-ok%s",
 | |
| 			       (before_after_matters
 | |
| 				? ":before-rounding"
 | |
| 				: "")) < 0)
 | |
| 		    error (EXIT_FAILURE, errno, "write to '%s'",
 | |
| 			   filename);
 | |
| 		}
 | |
| 	      if (before_after_matters || !(may_erange && !must_erange))
 | |
| 		{
 | |
| 		  if (must_erange)
 | |
| 		    if (fputs (" errno-erange", fp) < 0)
 | |
| 		      error (EXIT_FAILURE, errno, "write to '%s'",
 | |
| 			     filename);
 | |
| 		  input_flag_type okflag = (must_erange
 | |
| 					    ? flag_missing_errno
 | |
| 					    : flag_spurious_errno);
 | |
| 		  for (size_t i = 0; i < it->num_flags; i++)
 | |
| 		    if (it->flags[i].type == okflag)
 | |
| 		      if (fprintf (fp, " errno-erange-ok%s%s",
 | |
| 				   (it->flags[i].cond
 | |
| 				    ? it->flags[i].cond
 | |
| 				    : ""),
 | |
| 				   (before_after_matters
 | |
| 				    ? ":after-rounding"
 | |
| 				    : "")) < 0)
 | |
| 			error (EXIT_FAILURE, errno, "write to '%s'",
 | |
| 			       filename);
 | |
| 		}
 | |
| 	      if (putc ('\n', fp) < 0)
 | |
| 		error (EXIT_FAILURE, errno, "write to '%s'", filename);
 | |
| 	    }
 | |
| 	  for (size_t i = 0; i < tf->num_ret; i++)
 | |
| 	    {
 | |
| 	      if (generic_outputs[i].type == gtype_fp)
 | |
| 		for (rounding_mode m = rm_first_mode; m < rm_num_modes; m++)
 | |
| 		  mpfr_clear (all_res[i][m]);
 | |
| 	    }
 | |
| 	}
 | |
|     }
 | |
|  out:
 | |
|   for (size_t i = 0; i < tf->num_ret; i++)
 | |
|     generic_value_free (&generic_outputs[i]);
 | |
| }
 | |
| 
 | |
| /* Generate test output data to FILENAME.  */
 | |
| 
 | |
| static void
 | |
| generate_output (const char *filename)
 | |
| {
 | |
|   FILE *fp = fopen (filename, "w");
 | |
|   if (fp == NULL)
 | |
|     error (EXIT_FAILURE, errno, "open '%s'", filename);
 | |
|   for (size_t i = 0; i < ARRAY_SIZE (test_functions); i++)
 | |
|     {
 | |
|       test_function *tf = &test_functions[i];
 | |
|       for (size_t j = 0; j < tf->num_tests; j++)
 | |
| 	{
 | |
| 	  input_test *it = &tf->tests[j];
 | |
| 	  if (fputs (it->line, fp) < 0)
 | |
| 	    error (EXIT_FAILURE, errno, "write to '%s'", filename);
 | |
| 	  for (size_t k = 0; k < it->num_input_cases; k++)
 | |
| 	    output_for_one_input_case (fp, filename, tf, it, it->inputs[k]);
 | |
| 	}
 | |
|     }
 | |
|   if (fclose (fp) != 0)
 | |
|     error (EXIT_FAILURE, errno, "close '%s'", filename);
 | |
| }
 | |
| 
 | |
| int
 | |
| main (int argc, char **argv)
 | |
| {
 | |
|   if (argc != 3)
 | |
|     error (EXIT_FAILURE, 0, "usage: gen-auto-libm-tests <input> <output>");
 | |
|   const char *input_filename = argv[1];
 | |
|   const char *output_filename = argv[2];
 | |
|   init_fp_formats ();
 | |
|   read_input (input_filename);
 | |
|   generate_output (output_filename);
 | |
|   exit (EXIT_SUCCESS);
 | |
| }
 |