/* Definitions of floating-point access for GNU compiler.
- Copyright (C) 1989, 1991, 1994, 1996, 1997, 1998, 1999,
- 2000, 2002, 2003, 2004, 2005, 2007, 2008 Free Software Foundation, Inc.
+ Copyright (C) 1989-2020 Free Software Foundation, Inc.
This file is part of GCC.
#ifndef GCC_REAL_H
#define GCC_REAL_H
-#ifndef GENERATOR_FILE
-#include <gmp.h>
-#include <mpfr.h>
-#ifdef HAVE_mpc
-#include <mpc.h>
-# if MPC_VERSION >= MPC_VERSION_NUM(0,6,1)
-# define HAVE_mpc_pow
-# endif
-#endif
-#endif
-#include "machmode.h"
-
/* An expanded form of the represented number. */
/* Enumerate the special cases of numbers that we encounter. */
sure they're packed together, otherwise REAL_VALUE_TYPE_SIZE will
be miscomputed. */
unsigned int /* ENUM_BITFIELD (real_value_class) */ cl : 2;
+ /* 1 if number is decimal floating point. */
unsigned int decimal : 1;
+ /* 1 if number is negative. */
unsigned int sign : 1;
+ /* 1 if number is signalling. */
unsigned int signalling : 1;
+ /* 1 if number is canonical
+ All are generally used for handling cases in real.c. */
unsigned int canonical : 1;
+ /* unbiased exponent of the number. */
unsigned int uexp : EXP_BITS;
+ /* significand of the number. */
unsigned long sig[SIGSZ];
};
/* Verify the guess. */
extern char test_real_width
- [sizeof(REAL_VALUE_TYPE) <= REAL_WIDTH*sizeof(HOST_WIDE_INT) ? 1 : -1];
+ [sizeof (REAL_VALUE_TYPE) <= REAL_WIDTH * sizeof (HOST_WIDE_INT) ? 1 : -1];
/* Calculate the format for CONST_DOUBLE. We need as many slots as
are necessary to overlay a REAL_VALUE_TYPE on them. This could be
or -1 for a complex encoding. */
int signbit_rw;
+ /* If this is an IEEE interchange format, the number of bits in the
+ format; otherwise, if it is an IEEE extended format, one more
+ than the greatest number of bits in an interchange format it
+ extends; otherwise 0. Formats need not follow the IEEE 754-2008
+ recommended practice regarding how signaling NaNs are identified,
+ and may vary in the choice of default NaN, but must follow other
+ IEEE practice regarding having NaNs, infinities and subnormal
+ values, and the relation of minimum and maximum exponents, and,
+ for interchange formats, the details of the encoding. */
+ int ieee_bits;
+
/* Default rounding mode for operations on this format. */
bool round_towards_zero;
bool has_sign_dependent_rounding;
bool has_signed_zero;
bool qnan_msb_set;
bool canonical_nan_lsbs_set;
+ const char *name;
};
(real_format_for_mode[DECIMAL_FLOAT_MODE_P (MODE) \
? (((MODE) - MIN_MODE_DECIMAL_FLOAT) \
+ (MAX_MODE_FLOAT - MIN_MODE_FLOAT + 1)) \
- : ((MODE) - MIN_MODE_FLOAT)])
+ : GET_MODE_CLASS (MODE) == MODE_FLOAT \
+ ? ((MODE) - MIN_MODE_FLOAT) \
+ : (gcc_unreachable (), 0)])
#define FLOAT_MODE_FORMAT(MODE) \
- (REAL_MODE_FORMAT (SCALAR_FLOAT_MODE_P (MODE)? (MODE) \
- : GET_MODE_INNER (MODE)))
+ (REAL_MODE_FORMAT (as_a <scalar_float_mode> (GET_MODE_INNER (MODE))))
/* The following macro determines whether the floating point format is
composite, i.e. may contain non-consecutive mantissa bits, in which
(FLOAT_MODE_P (MODE) \
&& FLOAT_MODE_FORMAT (MODE)->has_sign_dependent_rounding)
+/* This class allows functions in this file to accept a floating-point
+ format as either a mode or an explicit real_format pointer. In the
+ former case the mode must be VOIDmode (which means "no particular
+ format") or must satisfy SCALAR_FLOAT_MODE_P. */
+class format_helper
+{
+public:
+ format_helper (const real_format *format) : m_format (format) {}
+ template<typename T> format_helper (const T &);
+ const real_format *operator-> () const { return m_format; }
+ operator const real_format *() const { return m_format; }
+
+ bool decimal_p () const { return m_format && m_format->b == 10; }
+ bool can_represent_integral_type_p (tree type) const;
+
+private:
+ const real_format *m_format;
+};
+
+template<typename T>
+inline format_helper::format_helper (const T &m)
+ : m_format (m == VOIDmode ? 0 : REAL_MODE_FORMAT (m))
+{}
/* Declare functions in real.c. */
+/* True if the given mode has a NaN representation and the treatment of
+ NaN operands is important. Certain optimizations, such as folding
+ x * 0 into 0, are not correct for NaN operands, and are normally
+ disabled for modes with NaNs. The user can ask for them to be
+ done anyway using the -funsafe-math-optimizations switch. */
+extern bool HONOR_NANS (machine_mode);
+extern bool HONOR_NANS (const_tree);
+extern bool HONOR_NANS (const_rtx);
+
+/* Like HONOR_NANs, but true if we honor signaling NaNs (or sNaNs). */
+extern bool HONOR_SNANS (machine_mode);
+extern bool HONOR_SNANS (const_tree);
+extern bool HONOR_SNANS (const_rtx);
+
+/* As for HONOR_NANS, but true if the mode can represent infinity and
+ the treatment of infinite values is important. */
+extern bool HONOR_INFINITIES (machine_mode);
+extern bool HONOR_INFINITIES (const_tree);
+extern bool HONOR_INFINITIES (const_rtx);
+
+/* Like HONOR_NANS, but true if the given mode distinguishes between
+ positive and negative zero, and the sign of zero is important. */
+extern bool HONOR_SIGNED_ZEROS (machine_mode);
+extern bool HONOR_SIGNED_ZEROS (const_tree);
+extern bool HONOR_SIGNED_ZEROS (const_rtx);
+
+/* Like HONOR_NANS, but true if given mode supports sign-dependent rounding,
+ and the rounding mode is important. */
+extern bool HONOR_SIGN_DEPENDENT_ROUNDING (machine_mode);
+extern bool HONOR_SIGN_DEPENDENT_ROUNDING (const_tree);
+extern bool HONOR_SIGN_DEPENDENT_ROUNDING (const_rtx);
+
/* Binary or unary arithmetic on tree_code. */
extern bool real_arithmetic (REAL_VALUE_TYPE *, int, const REAL_VALUE_TYPE *,
const REAL_VALUE_TYPE *);
/* Determine whether a floating-point value X is a NaN. */
extern bool real_isnan (const REAL_VALUE_TYPE *);
+/* Determine whether a floating-point value X is a signaling NaN. */
+extern bool real_issignaling_nan (const REAL_VALUE_TYPE *);
+
/* Determine whether a floating-point value X is finite. */
extern bool real_isfinite (const REAL_VALUE_TYPE *);
/* Determine whether a floating-point value X is minus zero. */
extern bool real_isnegzero (const REAL_VALUE_TYPE *);
-/* Compare two floating-point objects for bitwise identity. */
+/* Test relationships between reals. */
extern bool real_identical (const REAL_VALUE_TYPE *, const REAL_VALUE_TYPE *);
+extern bool real_equal (const REAL_VALUE_TYPE *, const REAL_VALUE_TYPE *);
+extern bool real_less (const REAL_VALUE_TYPE *, const REAL_VALUE_TYPE *);
-/* Extend or truncate to a new mode. */
-extern void real_convert (REAL_VALUE_TYPE *, enum machine_mode,
+/* Extend or truncate to a new format. */
+extern void real_convert (REAL_VALUE_TYPE *, format_helper,
const REAL_VALUE_TYPE *);
/* Return true if truncating to NEW is exact. */
-extern bool exact_real_truncate (enum machine_mode, const REAL_VALUE_TYPE *);
+extern bool exact_real_truncate (format_helper, const REAL_VALUE_TYPE *);
/* Render R as a decimal floating point constant. */
extern void real_to_decimal (char *, const REAL_VALUE_TYPE *, size_t,
/* Render R as a decimal floating point constant, rounded so as to be
parsed back to the same value when interpreted in mode MODE. */
extern void real_to_decimal_for_mode (char *, const REAL_VALUE_TYPE *, size_t,
- size_t, int, enum machine_mode);
+ size_t, int, machine_mode);
/* Render R as a hexadecimal floating point constant. */
extern void real_to_hexadecimal (char *, const REAL_VALUE_TYPE *,
/* Render R as an integer. */
extern HOST_WIDE_INT real_to_integer (const REAL_VALUE_TYPE *);
-extern void real_to_integer2 (HOST_WIDE_INT *, HOST_WIDE_INT *,
- const REAL_VALUE_TYPE *);
/* Initialize R from a decimal or hexadecimal string. Return -1 if
the value underflows, +1 if overflows, and 0 otherwise. */
extern int real_from_string (REAL_VALUE_TYPE *, const char *);
/* Wrapper to allow different internal representation for decimal floats. */
-extern void real_from_string3 (REAL_VALUE_TYPE *, const char *, enum machine_mode);
+extern void real_from_string3 (REAL_VALUE_TYPE *, const char *, format_helper);
-/* Initialize R from an integer pair HIGH/LOW. */
-extern void real_from_integer (REAL_VALUE_TYPE *, enum machine_mode,
- unsigned HOST_WIDE_INT, HOST_WIDE_INT, int);
+extern long real_to_target (long *, const REAL_VALUE_TYPE *, format_helper);
-extern long real_to_target_fmt (long *, const REAL_VALUE_TYPE *,
- const struct real_format *);
-extern long real_to_target (long *, const REAL_VALUE_TYPE *, enum machine_mode);
-
-extern void real_from_target_fmt (REAL_VALUE_TYPE *, const long *,
- const struct real_format *);
extern void real_from_target (REAL_VALUE_TYPE *, const long *,
- enum machine_mode);
+ format_helper);
extern void real_inf (REAL_VALUE_TYPE *);
-extern bool real_nan (REAL_VALUE_TYPE *, const char *, int, enum machine_mode);
+extern bool real_nan (REAL_VALUE_TYPE *, const char *, int, format_helper);
-extern void real_maxval (REAL_VALUE_TYPE *, int, enum machine_mode);
+extern void real_maxval (REAL_VALUE_TYPE *, int, machine_mode);
-extern void real_2expN (REAL_VALUE_TYPE *, int, enum machine_mode);
+extern void real_2expN (REAL_VALUE_TYPE *, int, format_helper);
extern unsigned int real_hash (const REAL_VALUE_TYPE *);
extern const struct real_format decimal_quad_format;
extern const struct real_format ieee_half_format;
extern const struct real_format arm_half_format;
+extern const struct real_format arm_bfloat_half_format;
/* ====================================================================== */
/* Crap. */
-#define REAL_ARITHMETIC(value, code, d1, d2) \
- real_arithmetic (&(value), code, &(d1), &(d2))
-
-#define REAL_VALUES_IDENTICAL(x, y) real_identical (&(x), &(y))
-#define REAL_VALUES_EQUAL(x, y) real_compare (EQ_EXPR, &(x), &(y))
-#define REAL_VALUES_LESS(x, y) real_compare (LT_EXPR, &(x), &(y))
-
/* Determine whether a floating-point value X is infinite. */
#define REAL_VALUE_ISINF(x) real_isinf (&(x))
/* Determine whether a floating-point value X is a NaN. */
#define REAL_VALUE_ISNAN(x) real_isnan (&(x))
+/* Determine whether a floating-point value X is a signaling NaN. */
+#define REAL_VALUE_ISSIGNALING_NAN(x) real_issignaling_nan (&(x))
+
/* Determine whether a floating-point value X is negative. */
#define REAL_VALUE_NEGATIVE(x) real_isneg (&(x))
/* IN is a REAL_VALUE_TYPE. OUT is an array of longs. */
#define REAL_VALUE_TO_TARGET_LONG_DOUBLE(IN, OUT) \
real_to_target (OUT, &(IN), \
- mode_for_size (LONG_DOUBLE_TYPE_SIZE, MODE_FLOAT, 0))
+ float_mode_for_size (LONG_DOUBLE_TYPE_SIZE).require ())
#define REAL_VALUE_TO_TARGET_DOUBLE(IN, OUT) \
- real_to_target (OUT, &(IN), mode_for_size (64, MODE_FLOAT, 0))
+ real_to_target (OUT, &(IN), float_mode_for_size (64).require ())
/* IN is a REAL_VALUE_TYPE. OUT is a long. */
#define REAL_VALUE_TO_TARGET_SINGLE(IN, OUT) \
- ((OUT) = real_to_target (NULL, &(IN), mode_for_size (32, MODE_FLOAT, 0)))
-
-#define REAL_VALUE_FROM_INT(r, lo, hi, mode) \
- real_from_integer (&(r), mode, lo, hi, 0)
-
-#define REAL_VALUE_FROM_UNSIGNED_INT(r, lo, hi, mode) \
- real_from_integer (&(r), mode, lo, hi, 1)
+ ((OUT) = real_to_target (NULL, &(IN), float_mode_for_size (32).require ()))
/* Real values to IEEE 754 decimal floats. */
/* IN is a REAL_VALUE_TYPE. OUT is an array of longs. */
#define REAL_VALUE_TO_TARGET_DECIMAL128(IN, OUT) \
- real_to_target (OUT, &(IN), mode_for_size (128, MODE_DECIMAL_FLOAT, 0))
+ real_to_target (OUT, &(IN), decimal_float_mode_for_size (128).require ())
#define REAL_VALUE_TO_TARGET_DECIMAL64(IN, OUT) \
- real_to_target (OUT, &(IN), mode_for_size (64, MODE_DECIMAL_FLOAT, 0))
+ real_to_target (OUT, &(IN), decimal_float_mode_for_size (64).require ())
/* IN is a REAL_VALUE_TYPE. OUT is a long. */
#define REAL_VALUE_TO_TARGET_DECIMAL32(IN, OUT) \
- ((OUT) = real_to_target (NULL, &(IN), mode_for_size (32, MODE_DECIMAL_FLOAT, 0)))
-
-extern REAL_VALUE_TYPE real_value_truncate (enum machine_mode,
- REAL_VALUE_TYPE);
-
-#define REAL_VALUE_TO_INT(plow, phigh, r) \
- real_to_integer2 (plow, phigh, &(r))
-
-extern REAL_VALUE_TYPE real_arithmetic2 (int, const REAL_VALUE_TYPE *,
- const REAL_VALUE_TYPE *);
+ ((OUT) = real_to_target (NULL, &(IN), \
+ decimal_float_mode_for_size (32).require ()))
-#define REAL_VALUE_NEGATE(X) \
- real_arithmetic2 (NEGATE_EXPR, &(X), NULL)
+extern REAL_VALUE_TYPE real_value_truncate (format_helper, REAL_VALUE_TYPE);
-#define REAL_VALUE_ABS(X) \
- real_arithmetic2 (ABS_EXPR, &(X), NULL)
+extern REAL_VALUE_TYPE real_value_negate (const REAL_VALUE_TYPE *);
+extern REAL_VALUE_TYPE real_value_abs (const REAL_VALUE_TYPE *);
-extern int significand_size (enum machine_mode);
+extern int significand_size (format_helper);
-extern REAL_VALUE_TYPE real_from_string2 (const char *, enum machine_mode);
+extern REAL_VALUE_TYPE real_from_string2 (const char *, format_helper);
#define REAL_VALUE_ATOF(s, m) \
real_from_string2 (s, m)
#define CONST_DOUBLE_ATOF(s, m) \
- CONST_DOUBLE_FROM_REAL_VALUE (real_from_string2 (s, m), m)
+ const_double_from_real_value (real_from_string2 (s, m), m)
#define REAL_VALUE_FIX(r) \
real_to_integer (&(r))
extern REAL_VALUE_TYPE dconstm1;
extern REAL_VALUE_TYPE dconsthalf;
-#define dconst_e() (*dconst_e_ptr ())
-#define dconst_third() (*dconst_third_ptr ())
-#define dconst_sqrt2() (*dconst_sqrt2_ptr ())
+#define dconst_e() (*dconst_e_ptr ())
+#define dconst_third() (*dconst_third_ptr ())
+#define dconst_quarter() (*dconst_quarter_ptr ())
+#define dconst_sixth() (*dconst_sixth_ptr ())
+#define dconst_ninth() (*dconst_ninth_ptr ())
+#define dconst_sqrt2() (*dconst_sqrt2_ptr ())
/* Function to return the real value special constant 'e'. */
extern const REAL_VALUE_TYPE * dconst_e_ptr (void);
-/* Returns the special REAL_VALUE_TYPE corresponding to 1/3. */
-extern const REAL_VALUE_TYPE * dconst_third_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);
from a given integer constant. */
REAL_VALUE_TYPE real_value_from_int_cst (const_tree, const_tree);
-/* Given a CONST_DOUBLE in FROM, store into TO the value it represents. */
-#define REAL_VALUE_FROM_CONST_DOUBLE(to, from) \
- ((to) = *CONST_DOUBLE_REAL_VALUE (from))
-
/* Return a CONST_DOUBLE with value R and mode M. */
-#define CONST_DOUBLE_FROM_REAL_VALUE(r, m) \
- const_double_from_real_value (r, m)
-extern rtx const_double_from_real_value (REAL_VALUE_TYPE, enum machine_mode);
+extern rtx const_double_from_real_value (REAL_VALUE_TYPE, machine_mode);
-/* Replace R by 1/R in the given machine mode, if the result is exact. */
-extern bool exact_real_inverse (enum machine_mode, REAL_VALUE_TYPE *);
+/* 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 (enum machine_mode, enum machine_mode);
+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);
-/* Calculate R as the square root of X in the given machine mode. */
-extern bool real_sqrt (REAL_VALUE_TYPE *, enum machine_mode,
- const 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 mode MODE. */
-extern bool real_powi (REAL_VALUE_TYPE *, enum machine_mode,
+/* 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 *, enum machine_mode,
+extern void real_trunc (REAL_VALUE_TYPE *, format_helper,
const REAL_VALUE_TYPE *);
-extern void real_floor (REAL_VALUE_TYPE *, enum machine_mode,
+extern void real_floor (REAL_VALUE_TYPE *, format_helper,
const REAL_VALUE_TYPE *);
-extern void real_ceil (REAL_VALUE_TYPE *, enum machine_mode,
+extern void real_ceil (REAL_VALUE_TYPE *, format_helper,
const REAL_VALUE_TYPE *);
-extern void real_round (REAL_VALUE_TYPE *, enum machine_mode,
+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 *);
-#ifndef GENERATOR_FILE
-/* Convert between MPFR and REAL_VALUE_TYPE. The caller is
- responsible for initializing and clearing the MPFR parameter. */
-
-extern void real_from_mpfr (REAL_VALUE_TYPE *, mpfr_srcptr, tree, mp_rnd_t);
-extern void mpfr_from_real (mpfr_ptr, const REAL_VALUE_TYPE *, mp_rnd_t);
-#endif
-
/* Check whether the real constant value given is an integer. */
-extern bool real_isinteger (const REAL_VALUE_TYPE *c, enum machine_mode mode);
+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);
+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 */
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