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- /* Definitions for simple data type for real numbers.
- Copyright (C) 2002-2020 Free Software Foundation, Inc.
-
- This file is part of GCC.
-
- GCC is free software; you can redistribute it and/or modify it under
- the terms of the GNU General Public License as published by the Free
- Software Foundation; either version 3, or (at your option) any later
- version.
-
- GCC is distributed in the hope that it will be useful, but WITHOUT ANY
- WARRANTY; without even the implied warranty of MERCHANTABILITY or
- FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
- for more details.
-
- You should have received a copy of the GNU General Public License
- along with GCC; see the file COPYING3. If not see
- <http://www.gnu.org/licenses/>. */
-
- #ifndef GCC_SREAL_H
- #define GCC_SREAL_H
-
- #define SREAL_PART_BITS 31
-
- #define UINT64_BITS 64
-
- #define SREAL_MIN_SIG ((int64_t) 1 << (SREAL_PART_BITS - 2))
- #define SREAL_MAX_SIG (((int64_t) 1 << (SREAL_PART_BITS - 1)) - 1)
- #define SREAL_MAX_EXP (INT_MAX / 4)
-
- #define SREAL_BITS SREAL_PART_BITS
-
- #define SREAL_SIGN(v) (v < 0 ? -1: 1)
- #define SREAL_ABS(v) (v < 0 ? -v: v)
-
- struct output_block;
- class lto_input_block;
-
- /* Structure for holding a simple real number. */
- class sreal
- {
- public:
- /* Construct an uninitialized sreal. */
- sreal () : m_sig (-1), m_exp (-1) {}
-
- /* Construct a sreal. */
- sreal (int64_t sig, int exp = 0)
- {
- normalize (sig, exp);
- }
-
- void dump (FILE *) const;
- int64_t to_int () const;
- double to_double () const;
- void stream_out (struct output_block *);
- static sreal stream_in (class lto_input_block *);
- sreal operator+ (const sreal &other) const;
- sreal operator- (const sreal &other) const;
- sreal operator* (const sreal &other) const;
- sreal operator/ (const sreal &other) const;
-
- bool operator< (const sreal &other) const
- {
- if (m_exp == other.m_exp)
- return m_sig < other.m_sig;
- else
- {
- bool negative = m_sig < 0;
- bool other_negative = other.m_sig < 0;
-
- if (negative != other_negative)
- return negative > other_negative;
-
- bool r = m_exp < other.m_exp;
- return negative ? !r : r;
- }
- }
-
- bool operator== (const sreal &other) const
- {
- return m_exp == other.m_exp && m_sig == other.m_sig;
- }
-
- sreal operator- () const
- {
- sreal tmp = *this;
- tmp.m_sig *= -1;
-
- return tmp;
- }
-
- sreal shift (int s) const
- {
- /* Zero needs no shifting. */
- if (!m_sig)
- return *this;
- gcc_checking_assert (s <= SREAL_MAX_EXP);
- gcc_checking_assert (s >= -SREAL_MAX_EXP);
-
- /* Overflows/drop to 0 could be handled gracefully, but hopefully we do not
- need to do so. */
- gcc_checking_assert (m_exp + s <= SREAL_MAX_EXP);
- gcc_checking_assert (m_exp + s >= -SREAL_MAX_EXP);
-
- sreal tmp = *this;
- tmp.m_exp += s;
-
- return tmp;
- }
-
- /* Global minimum sreal can hold. */
- inline static sreal min ()
- {
- sreal min;
- /* This never needs normalization. */
- min.m_sig = -SREAL_MAX_SIG;
- min.m_exp = SREAL_MAX_EXP;
- return min;
- }
-
- /* Global minimum sreal can hold. */
- inline static sreal max ()
- {
- sreal max;
- /* This never needs normalization. */
- max.m_sig = SREAL_MAX_SIG;
- max.m_exp = SREAL_MAX_EXP;
- return max;
- }
-
- private:
- inline void normalize (int64_t new_sig, signed int new_exp);
- inline void normalize_up (int64_t new_sig, signed int new_exp);
- inline void normalize_down (int64_t new_sig, signed int new_exp);
- void shift_right (int amount);
- static sreal signedless_plus (const sreal &a, const sreal &b, bool negative);
- static sreal signedless_minus (const sreal &a, const sreal &b, bool negative);
-
- int32_t m_sig; /* Significant. */
- signed int m_exp; /* Exponent. */
- };
-
- extern void debug (const sreal &ref);
- extern void debug (const sreal *ptr);
-
- inline sreal &operator+= (sreal &a, const sreal &b)
- {
- return a = a + b;
- }
-
- inline sreal &operator-= (sreal &a, const sreal &b)
- {
- return a = a - b;
- }
-
- inline sreal &operator/= (sreal &a, const sreal &b)
- {
- return a = a / b;
- }
-
- inline sreal &operator*= (sreal &a, const sreal &b)
- {
- return a = a * b;
- }
-
- inline bool operator!= (const sreal &a, const sreal &b)
- {
- return !(a == b);
- }
-
- inline bool operator> (const sreal &a, const sreal &b)
- {
- return !(a == b || a < b);
- }
-
- inline bool operator<= (const sreal &a, const sreal &b)
- {
- return a < b || a == b;
- }
-
- inline bool operator>= (const sreal &a, const sreal &b)
- {
- return a == b || a > b;
- }
-
- inline sreal operator<< (const sreal &a, int exp)
- {
- return a.shift (exp);
- }
-
- inline sreal operator>> (const sreal &a, int exp)
- {
- return a.shift (-exp);
- }
-
- /* Make significant to be >= SREAL_MIN_SIG.
-
- Make this separate method so inliner can handle hot path better. */
-
- inline void
- sreal::normalize_up (int64_t new_sig, signed int new_exp)
- {
- unsigned HOST_WIDE_INT sig = absu_hwi (new_sig);
- int shift = SREAL_PART_BITS - 2 - floor_log2 (sig);
-
- gcc_checking_assert (shift > 0);
- sig <<= shift;
- new_exp -= shift;
- gcc_checking_assert (sig <= SREAL_MAX_SIG && sig >= SREAL_MIN_SIG);
-
- /* Check underflow. */
- if (new_exp < -SREAL_MAX_EXP)
- {
- new_exp = -SREAL_MAX_EXP;
- sig = 0;
- }
- m_exp = new_exp;
- if (SREAL_SIGN (new_sig) == -1)
- m_sig = -sig;
- else
- m_sig = sig;
- }
-
- /* Make significant to be <= SREAL_MAX_SIG.
-
- Make this separate method so inliner can handle hot path better. */
-
- inline void
- sreal::normalize_down (int64_t new_sig, signed int new_exp)
- {
- int last_bit;
- unsigned HOST_WIDE_INT sig = absu_hwi (new_sig);
- int shift = floor_log2 (sig) - SREAL_PART_BITS + 2;
-
- gcc_checking_assert (shift > 0);
- last_bit = (sig >> (shift-1)) & 1;
- sig >>= shift;
- new_exp += shift;
- gcc_checking_assert (sig <= SREAL_MAX_SIG && sig >= SREAL_MIN_SIG);
-
- /* Round the number. */
- sig += last_bit;
- if (sig > SREAL_MAX_SIG)
- {
- sig >>= 1;
- new_exp++;
- }
-
- /* Check overflow. */
- if (new_exp > SREAL_MAX_EXP)
- {
- new_exp = SREAL_MAX_EXP;
- sig = SREAL_MAX_SIG;
- }
- m_exp = new_exp;
- if (SREAL_SIGN (new_sig) == -1)
- m_sig = -sig;
- else
- m_sig = sig;
- }
-
- /* Normalize *this; the hot path. */
-
- inline void
- sreal::normalize (int64_t new_sig, signed int new_exp)
- {
- unsigned HOST_WIDE_INT sig = absu_hwi (new_sig);
-
- if (sig == 0)
- {
- m_sig = 0;
- m_exp = -SREAL_MAX_EXP;
- }
- else if (sig > SREAL_MAX_SIG)
- normalize_down (new_sig, new_exp);
- else if (sig < SREAL_MIN_SIG)
- normalize_up (new_sig, new_exp);
- else
- {
- m_sig = new_sig;
- m_exp = new_exp;
- }
- }
-
- #endif
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