542 lines
20 KiB
C++
542 lines
20 KiB
C++
/* Definitions of floating-point access for GNU compiler.
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Copyright (C) 1989-2020 Free Software Foundation, Inc.
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This file is part of GCC.
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GCC is free software; you can redistribute it and/or modify it under
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the terms of the GNU General Public License as published by the Free
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Software Foundation; either version 3, or (at your option) any later
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version.
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GCC is distributed in the hope that it will be useful, but WITHOUT ANY
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WARRANTY; without even the implied warranty of MERCHANTABILITY or
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FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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for more details.
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You should have received a copy of the GNU General Public License
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along with GCC; see the file COPYING3. If not see
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<http://www.gnu.org/licenses/>. */
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#ifndef GCC_REAL_H
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#define GCC_REAL_H
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/* An expanded form of the represented number. */
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/* Enumerate the special cases of numbers that we encounter. */
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enum real_value_class {
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rvc_zero,
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rvc_normal,
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rvc_inf,
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rvc_nan
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};
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#define SIGNIFICAND_BITS (128 + HOST_BITS_PER_LONG)
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#define EXP_BITS (32 - 6)
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#define MAX_EXP ((1 << (EXP_BITS - 1)) - 1)
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#define SIGSZ (SIGNIFICAND_BITS / HOST_BITS_PER_LONG)
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#define SIG_MSB ((unsigned long)1 << (HOST_BITS_PER_LONG - 1))
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struct GTY(()) real_value {
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/* Use the same underlying type for all bit-fields, so as to make
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sure they're packed together, otherwise REAL_VALUE_TYPE_SIZE will
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be miscomputed. */
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unsigned int /* ENUM_BITFIELD (real_value_class) */ cl : 2;
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/* 1 if number is decimal floating point. */
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unsigned int decimal : 1;
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/* 1 if number is negative. */
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unsigned int sign : 1;
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/* 1 if number is signalling. */
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unsigned int signalling : 1;
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/* 1 if number is canonical
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All are generally used for handling cases in real.c. */
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unsigned int canonical : 1;
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/* unbiased exponent of the number. */
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unsigned int uexp : EXP_BITS;
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/* significand of the number. */
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unsigned long sig[SIGSZ];
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};
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#define REAL_EXP(REAL) \
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((int)((REAL)->uexp ^ (unsigned int)(1 << (EXP_BITS - 1))) \
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- (1 << (EXP_BITS - 1)))
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#define SET_REAL_EXP(REAL, EXP) \
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((REAL)->uexp = ((unsigned int)(EXP) & (unsigned int)((1 << EXP_BITS) - 1)))
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/* Various headers condition prototypes on #ifdef REAL_VALUE_TYPE, so it
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needs to be a macro. We do need to continue to have a structure tag
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so that other headers can forward declare it. */
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#define REAL_VALUE_TYPE struct real_value
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/* We store a REAL_VALUE_TYPE into an rtx, and we do this by putting it in
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consecutive "w" slots. Moreover, we've got to compute the number of "w"
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slots at preprocessor time, which means we can't use sizeof. Guess. */
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#define REAL_VALUE_TYPE_SIZE (SIGNIFICAND_BITS + 32)
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#define REAL_WIDTH \
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(REAL_VALUE_TYPE_SIZE/HOST_BITS_PER_WIDE_INT \
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+ (REAL_VALUE_TYPE_SIZE%HOST_BITS_PER_WIDE_INT ? 1 : 0)) /* round up */
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/* Verify the guess. */
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extern char test_real_width
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[sizeof (REAL_VALUE_TYPE) <= REAL_WIDTH * sizeof (HOST_WIDE_INT) ? 1 : -1];
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/* Calculate the format for CONST_DOUBLE. We need as many slots as
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are necessary to overlay a REAL_VALUE_TYPE on them. This could be
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as many as four (32-bit HOST_WIDE_INT, 128-bit REAL_VALUE_TYPE).
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A number of places assume that there are always at least two 'w'
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slots in a CONST_DOUBLE, so we provide them even if one would suffice. */
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#if REAL_WIDTH == 1
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# define CONST_DOUBLE_FORMAT "ww"
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#else
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# if REAL_WIDTH == 2
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# define CONST_DOUBLE_FORMAT "ww"
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# else
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# if REAL_WIDTH == 3
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# define CONST_DOUBLE_FORMAT "www"
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# else
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# if REAL_WIDTH == 4
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# define CONST_DOUBLE_FORMAT "wwww"
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# else
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# if REAL_WIDTH == 5
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# define CONST_DOUBLE_FORMAT "wwwww"
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# else
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# if REAL_WIDTH == 6
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# define CONST_DOUBLE_FORMAT "wwwwww"
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# else
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#error "REAL_WIDTH > 6 not supported"
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# endif
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# endif
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# endif
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# endif
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# endif
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#endif
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/* Describes the properties of the specific target format in use. */
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struct real_format
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{
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/* Move to and from the target bytes. */
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void (*encode) (const struct real_format *, long *,
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const REAL_VALUE_TYPE *);
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void (*decode) (const struct real_format *, REAL_VALUE_TYPE *,
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const long *);
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/* The radix of the exponent and digits of the significand. */
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int b;
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/* Size of the significand in digits of radix B. */
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int p;
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/* Size of the significant of a NaN, in digits of radix B. */
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int pnan;
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/* The minimum negative integer, x, such that b**(x-1) is normalized. */
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int emin;
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/* The maximum integer, x, such that b**(x-1) is representable. */
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int emax;
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/* The bit position of the sign bit, for determining whether a value
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is positive/negative, or -1 for a complex encoding. */
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int signbit_ro;
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/* The bit position of the sign bit, for changing the sign of a number,
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or -1 for a complex encoding. */
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int signbit_rw;
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/* If this is an IEEE interchange format, the number of bits in the
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format; otherwise, if it is an IEEE extended format, one more
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than the greatest number of bits in an interchange format it
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extends; otherwise 0. Formats need not follow the IEEE 754-2008
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recommended practice regarding how signaling NaNs are identified,
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and may vary in the choice of default NaN, but must follow other
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IEEE practice regarding having NaNs, infinities and subnormal
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values, and the relation of minimum and maximum exponents, and,
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for interchange formats, the details of the encoding. */
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int ieee_bits;
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/* Default rounding mode for operations on this format. */
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bool round_towards_zero;
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bool has_sign_dependent_rounding;
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/* Properties of the format. */
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bool has_nans;
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bool has_inf;
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bool has_denorm;
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bool has_signed_zero;
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bool qnan_msb_set;
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bool canonical_nan_lsbs_set;
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const char *name;
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};
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/* The target format used for each floating point mode.
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Float modes are followed by decimal float modes, with entries for
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float modes indexed by (MODE - first float mode), and entries for
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decimal float modes indexed by (MODE - first decimal float mode) +
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the number of float modes. */
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extern const struct real_format *
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real_format_for_mode[MAX_MODE_FLOAT - MIN_MODE_FLOAT + 1
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+ MAX_MODE_DECIMAL_FLOAT - MIN_MODE_DECIMAL_FLOAT + 1];
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#define REAL_MODE_FORMAT(MODE) \
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(real_format_for_mode[DECIMAL_FLOAT_MODE_P (MODE) \
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? (((MODE) - MIN_MODE_DECIMAL_FLOAT) \
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+ (MAX_MODE_FLOAT - MIN_MODE_FLOAT + 1)) \
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: GET_MODE_CLASS (MODE) == MODE_FLOAT \
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? ((MODE) - MIN_MODE_FLOAT) \
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: (gcc_unreachable (), 0)])
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#define FLOAT_MODE_FORMAT(MODE) \
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(REAL_MODE_FORMAT (as_a <scalar_float_mode> (GET_MODE_INNER (MODE))))
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/* The following macro determines whether the floating point format is
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composite, i.e. may contain non-consecutive mantissa bits, in which
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case compile-time FP overflow may not model run-time overflow. */
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#define MODE_COMPOSITE_P(MODE) \
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(FLOAT_MODE_P (MODE) \
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&& FLOAT_MODE_FORMAT (MODE)->pnan < FLOAT_MODE_FORMAT (MODE)->p)
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/* Accessor macros for format properties. */
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#define MODE_HAS_NANS(MODE) \
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(FLOAT_MODE_P (MODE) && FLOAT_MODE_FORMAT (MODE)->has_nans)
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#define MODE_HAS_INFINITIES(MODE) \
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(FLOAT_MODE_P (MODE) && FLOAT_MODE_FORMAT (MODE)->has_inf)
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#define MODE_HAS_SIGNED_ZEROS(MODE) \
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(FLOAT_MODE_P (MODE) && FLOAT_MODE_FORMAT (MODE)->has_signed_zero)
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#define MODE_HAS_SIGN_DEPENDENT_ROUNDING(MODE) \
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(FLOAT_MODE_P (MODE) \
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&& FLOAT_MODE_FORMAT (MODE)->has_sign_dependent_rounding)
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/* This class allows functions in this file to accept a floating-point
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format as either a mode or an explicit real_format pointer. In the
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former case the mode must be VOIDmode (which means "no particular
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format") or must satisfy SCALAR_FLOAT_MODE_P. */
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class format_helper
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{
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public:
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format_helper (const real_format *format) : m_format (format) {}
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template<typename T> format_helper (const T &);
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const real_format *operator-> () const { return m_format; }
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operator const real_format *() const { return m_format; }
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bool decimal_p () const { return m_format && m_format->b == 10; }
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bool can_represent_integral_type_p (tree type) const;
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private:
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const real_format *m_format;
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};
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template<typename T>
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inline format_helper::format_helper (const T &m)
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: m_format (m == VOIDmode ? 0 : REAL_MODE_FORMAT (m))
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{}
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/* Declare functions in real.c. */
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/* True if the given mode has a NaN representation and the treatment of
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NaN operands is important. Certain optimizations, such as folding
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x * 0 into 0, are not correct for NaN operands, and are normally
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disabled for modes with NaNs. The user can ask for them to be
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done anyway using the -funsafe-math-optimizations switch. */
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extern bool HONOR_NANS (machine_mode);
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extern bool HONOR_NANS (const_tree);
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extern bool HONOR_NANS (const_rtx);
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/* Like HONOR_NANs, but true if we honor signaling NaNs (or sNaNs). */
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extern bool HONOR_SNANS (machine_mode);
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extern bool HONOR_SNANS (const_tree);
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extern bool HONOR_SNANS (const_rtx);
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/* As for HONOR_NANS, but true if the mode can represent infinity and
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the treatment of infinite values is important. */
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extern bool HONOR_INFINITIES (machine_mode);
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extern bool HONOR_INFINITIES (const_tree);
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extern bool HONOR_INFINITIES (const_rtx);
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/* Like HONOR_NANS, but true if the given mode distinguishes between
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positive and negative zero, and the sign of zero is important. */
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extern bool HONOR_SIGNED_ZEROS (machine_mode);
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extern bool HONOR_SIGNED_ZEROS (const_tree);
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extern bool HONOR_SIGNED_ZEROS (const_rtx);
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/* Like HONOR_NANS, but true if given mode supports sign-dependent rounding,
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and the rounding mode is important. */
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extern bool HONOR_SIGN_DEPENDENT_ROUNDING (machine_mode);
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extern bool HONOR_SIGN_DEPENDENT_ROUNDING (const_tree);
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extern bool HONOR_SIGN_DEPENDENT_ROUNDING (const_rtx);
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/* Binary or unary arithmetic on tree_code. */
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extern bool real_arithmetic (REAL_VALUE_TYPE *, int, const REAL_VALUE_TYPE *,
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const REAL_VALUE_TYPE *);
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/* Compare reals by tree_code. */
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extern bool real_compare (int, const REAL_VALUE_TYPE *, const REAL_VALUE_TYPE *);
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/* Determine whether a floating-point value X is infinite. */
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extern bool real_isinf (const REAL_VALUE_TYPE *);
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/* Determine whether a floating-point value X is a NaN. */
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extern bool real_isnan (const REAL_VALUE_TYPE *);
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/* Determine whether a floating-point value X is a signaling NaN. */
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extern bool real_issignaling_nan (const REAL_VALUE_TYPE *);
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/* Determine whether a floating-point value X is finite. */
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extern bool real_isfinite (const REAL_VALUE_TYPE *);
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/* Determine whether a floating-point value X is negative. */
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extern bool real_isneg (const REAL_VALUE_TYPE *);
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/* Determine whether a floating-point value X is minus zero. */
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extern bool real_isnegzero (const REAL_VALUE_TYPE *);
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/* Test relationships between reals. */
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extern bool real_identical (const REAL_VALUE_TYPE *, const REAL_VALUE_TYPE *);
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extern bool real_equal (const REAL_VALUE_TYPE *, const REAL_VALUE_TYPE *);
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extern bool real_less (const REAL_VALUE_TYPE *, const REAL_VALUE_TYPE *);
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/* Extend or truncate to a new format. */
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extern void real_convert (REAL_VALUE_TYPE *, format_helper,
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const REAL_VALUE_TYPE *);
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/* Return true if truncating to NEW is exact. */
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extern bool exact_real_truncate (format_helper, const REAL_VALUE_TYPE *);
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/* Render R as a decimal floating point constant. */
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extern void real_to_decimal (char *, const REAL_VALUE_TYPE *, size_t,
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size_t, int);
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/* Render R as a decimal floating point constant, rounded so as to be
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parsed back to the same value when interpreted in mode MODE. */
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extern void real_to_decimal_for_mode (char *, const REAL_VALUE_TYPE *, size_t,
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size_t, int, machine_mode);
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/* Render R as a hexadecimal floating point constant. */
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extern void real_to_hexadecimal (char *, const REAL_VALUE_TYPE *,
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size_t, size_t, int);
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/* Render R as an integer. */
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extern HOST_WIDE_INT real_to_integer (const REAL_VALUE_TYPE *);
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/* Initialize R from a decimal or hexadecimal string. Return -1 if
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the value underflows, +1 if overflows, and 0 otherwise. */
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extern int real_from_string (REAL_VALUE_TYPE *, const char *);
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/* Wrapper to allow different internal representation for decimal floats. */
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extern void real_from_string3 (REAL_VALUE_TYPE *, const char *, format_helper);
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extern long real_to_target (long *, const REAL_VALUE_TYPE *, format_helper);
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extern void real_from_target (REAL_VALUE_TYPE *, const long *,
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format_helper);
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extern void real_inf (REAL_VALUE_TYPE *);
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extern bool real_nan (REAL_VALUE_TYPE *, const char *, int, format_helper);
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extern void real_maxval (REAL_VALUE_TYPE *, int, machine_mode);
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extern void real_2expN (REAL_VALUE_TYPE *, int, format_helper);
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extern unsigned int real_hash (const REAL_VALUE_TYPE *);
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/* Target formats defined in real.c. */
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extern const struct real_format ieee_single_format;
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extern const struct real_format mips_single_format;
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extern const struct real_format motorola_single_format;
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extern const struct real_format spu_single_format;
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extern const struct real_format ieee_double_format;
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extern const struct real_format mips_double_format;
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extern const struct real_format motorola_double_format;
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extern const struct real_format ieee_extended_motorola_format;
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extern const struct real_format ieee_extended_intel_96_format;
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extern const struct real_format ieee_extended_intel_96_round_53_format;
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extern const struct real_format ieee_extended_intel_128_format;
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extern const struct real_format ibm_extended_format;
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extern const struct real_format mips_extended_format;
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extern const struct real_format ieee_quad_format;
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extern const struct real_format mips_quad_format;
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extern const struct real_format vax_f_format;
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extern const struct real_format vax_d_format;
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extern const struct real_format vax_g_format;
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extern const struct real_format real_internal_format;
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extern const struct real_format decimal_single_format;
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extern const struct real_format decimal_double_format;
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extern const struct real_format decimal_quad_format;
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extern const struct real_format ieee_half_format;
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extern const struct real_format arm_half_format;
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extern const struct real_format arm_bfloat_half_format;
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/* ====================================================================== */
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/* Crap. */
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/* Determine whether a floating-point value X is infinite. */
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#define REAL_VALUE_ISINF(x) real_isinf (&(x))
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/* Determine whether a floating-point value X is a NaN. */
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#define REAL_VALUE_ISNAN(x) real_isnan (&(x))
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/* Determine whether a floating-point value X is a signaling NaN. */
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#define REAL_VALUE_ISSIGNALING_NAN(x) real_issignaling_nan (&(x))
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/* Determine whether a floating-point value X is negative. */
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#define REAL_VALUE_NEGATIVE(x) real_isneg (&(x))
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/* Determine whether a floating-point value X is minus zero. */
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#define REAL_VALUE_MINUS_ZERO(x) real_isnegzero (&(x))
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/* IN is a REAL_VALUE_TYPE. OUT is an array of longs. */
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#define REAL_VALUE_TO_TARGET_LONG_DOUBLE(IN, OUT) \
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real_to_target (OUT, &(IN), \
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float_mode_for_size (LONG_DOUBLE_TYPE_SIZE).require ())
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#define REAL_VALUE_TO_TARGET_DOUBLE(IN, OUT) \
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real_to_target (OUT, &(IN), float_mode_for_size (64).require ())
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/* IN is a REAL_VALUE_TYPE. OUT is a long. */
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#define REAL_VALUE_TO_TARGET_SINGLE(IN, OUT) \
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((OUT) = real_to_target (NULL, &(IN), float_mode_for_size (32).require ()))
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/* Real values to IEEE 754 decimal floats. */
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/* IN is a REAL_VALUE_TYPE. OUT is an array of longs. */
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#define REAL_VALUE_TO_TARGET_DECIMAL128(IN, OUT) \
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real_to_target (OUT, &(IN), decimal_float_mode_for_size (128).require ())
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#define REAL_VALUE_TO_TARGET_DECIMAL64(IN, OUT) \
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real_to_target (OUT, &(IN), decimal_float_mode_for_size (64).require ())
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/* IN is a REAL_VALUE_TYPE. OUT is a long. */
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#define REAL_VALUE_TO_TARGET_DECIMAL32(IN, OUT) \
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((OUT) = real_to_target (NULL, &(IN), \
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decimal_float_mode_for_size (32).require ()))
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extern REAL_VALUE_TYPE real_value_truncate (format_helper, REAL_VALUE_TYPE);
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extern REAL_VALUE_TYPE real_value_negate (const REAL_VALUE_TYPE *);
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extern REAL_VALUE_TYPE real_value_abs (const REAL_VALUE_TYPE *);
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extern int significand_size (format_helper);
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extern REAL_VALUE_TYPE real_from_string2 (const char *, format_helper);
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#define REAL_VALUE_ATOF(s, m) \
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real_from_string2 (s, m)
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#define CONST_DOUBLE_ATOF(s, m) \
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const_double_from_real_value (real_from_string2 (s, m), m)
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#define REAL_VALUE_FIX(r) \
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real_to_integer (&(r))
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/* ??? Not quite right. */
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#define REAL_VALUE_UNSIGNED_FIX(r) \
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real_to_integer (&(r))
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/* ??? These were added for Paranoia support. */
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/* Return floor log2(R). */
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extern int real_exponent (const REAL_VALUE_TYPE *);
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/* R = A * 2**EXP. */
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extern void real_ldexp (REAL_VALUE_TYPE *, const REAL_VALUE_TYPE *, int);
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/* **** End of software floating point emulator interface macros **** */
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/* Constant real values 0, 1, 2, -1 and 0.5. */
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extern REAL_VALUE_TYPE dconst0;
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extern REAL_VALUE_TYPE dconst1;
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extern REAL_VALUE_TYPE dconst2;
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||
extern REAL_VALUE_TYPE dconstm1;
|
||
extern REAL_VALUE_TYPE dconsthalf;
|
||
|
||
#define dconst_e() (*dconst_e_ptr ())
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||
#define dconst_third() (*dconst_third_ptr ())
|
||
#define dconst_quarter() (*dconst_quarter_ptr ())
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||
#define dconst_sixth() (*dconst_sixth_ptr ())
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||
#define dconst_ninth() (*dconst_ninth_ptr ())
|
||
#define dconst_sqrt2() (*dconst_sqrt2_ptr ())
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||
|
||
/* Function to return the real value special constant 'e'. */
|
||
extern const REAL_VALUE_TYPE * dconst_e_ptr (void);
|
||
|
||
/* Returns a cached REAL_VALUE_TYPE corresponding to 1/n, for various n. */
|
||
extern const REAL_VALUE_TYPE *dconst_third_ptr (void);
|
||
extern const REAL_VALUE_TYPE *dconst_quarter_ptr (void);
|
||
extern const REAL_VALUE_TYPE *dconst_sixth_ptr (void);
|
||
extern const REAL_VALUE_TYPE *dconst_ninth_ptr (void);
|
||
|
||
/* Returns the special REAL_VALUE_TYPE corresponding to sqrt(2). */
|
||
extern const REAL_VALUE_TYPE * dconst_sqrt2_ptr (void);
|
||
|
||
/* Function to return a real value (not a tree node)
|
||
from a given integer constant. */
|
||
REAL_VALUE_TYPE real_value_from_int_cst (const_tree, const_tree);
|
||
|
||
/* Return a CONST_DOUBLE with value R and mode M. */
|
||
extern rtx const_double_from_real_value (REAL_VALUE_TYPE, machine_mode);
|
||
|
||
/* Replace R by 1/R in the given format, if the result is exact. */
|
||
extern bool exact_real_inverse (format_helper, REAL_VALUE_TYPE *);
|
||
|
||
/* Return true if arithmetic on values in IMODE that were promoted
|
||
from values in TMODE is equivalent to direct arithmetic on values
|
||
in TMODE. */
|
||
bool real_can_shorten_arithmetic (machine_mode, machine_mode);
|
||
|
||
/* In tree.c: wrap up a REAL_VALUE_TYPE in a tree node. */
|
||
extern tree build_real (tree, REAL_VALUE_TYPE);
|
||
|
||
/* Likewise, but first truncate the value to the type. */
|
||
extern tree build_real_truncate (tree, REAL_VALUE_TYPE);
|
||
|
||
/* Calculate R as X raised to the integer exponent N in format FMT. */
|
||
extern bool real_powi (REAL_VALUE_TYPE *, format_helper,
|
||
const REAL_VALUE_TYPE *, HOST_WIDE_INT);
|
||
|
||
/* Standard round to integer value functions. */
|
||
extern void real_trunc (REAL_VALUE_TYPE *, format_helper,
|
||
const REAL_VALUE_TYPE *);
|
||
extern void real_floor (REAL_VALUE_TYPE *, format_helper,
|
||
const REAL_VALUE_TYPE *);
|
||
extern void real_ceil (REAL_VALUE_TYPE *, format_helper,
|
||
const REAL_VALUE_TYPE *);
|
||
extern void real_round (REAL_VALUE_TYPE *, format_helper,
|
||
const REAL_VALUE_TYPE *);
|
||
extern void real_roundeven (REAL_VALUE_TYPE *, format_helper,
|
||
const REAL_VALUE_TYPE *);
|
||
|
||
/* Set the sign of R to the sign of X. */
|
||
extern void real_copysign (REAL_VALUE_TYPE *, const REAL_VALUE_TYPE *);
|
||
|
||
/* Check whether the real constant value given is an integer. */
|
||
extern bool real_isinteger (const REAL_VALUE_TYPE *, format_helper);
|
||
extern bool real_isinteger (const REAL_VALUE_TYPE *, HOST_WIDE_INT *);
|
||
|
||
/* Calculate nextafter (X, Y) in format FMT. */
|
||
extern bool real_nextafter (REAL_VALUE_TYPE *, format_helper,
|
||
const REAL_VALUE_TYPE *, const REAL_VALUE_TYPE *);
|
||
|
||
/* Write into BUF the maximum representable finite floating-point
|
||
number, (1 - b**-p) * b**emax for a given FP format FMT as a hex
|
||
float string. BUF must be large enough to contain the result. */
|
||
extern void get_max_float (const struct real_format *, char *, size_t, bool);
|
||
|
||
#ifndef GENERATOR_FILE
|
||
/* real related routines. */
|
||
extern wide_int real_to_integer (const REAL_VALUE_TYPE *, bool *, int);
|
||
extern void real_from_integer (REAL_VALUE_TYPE *, format_helper,
|
||
const wide_int_ref &, signop);
|
||
#endif
|
||
|
||
/* Fills r with the largest value such that 1 + r*r won't overflow.
|
||
This is used in both sin (atan (x)) and cos (atan(x)) optimizations. */
|
||
extern void build_sinatan_real (REAL_VALUE_TYPE *, tree);
|
||
|
||
#endif /* ! GCC_REAL_H */
|