321 lines
9.7 KiB
C
321 lines
9.7 KiB
C
/* Operations with long integers.
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Copyright (C) 2006, 2007, 2008, 2010 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
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under the terms of the GNU General Public License as published by the
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Free Software Foundation; either version 3, or (at your option) any
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later version.
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GCC is distributed in the hope that it will be useful, but WITHOUT
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ANY 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 DOUBLE_INT_H
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#define DOUBLE_INT_H
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#ifndef GENERATOR_FILE
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#include <gmp.h>
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#endif
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#include "coretypes.h"
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/* A large integer is currently represented as a pair of HOST_WIDE_INTs.
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It therefore represents a number with precision of
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2 * HOST_BITS_PER_WIDE_INT bits (it is however possible that the
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internal representation will change, if numbers with greater precision
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are needed, so the users should not rely on it). The representation does
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not contain any information about signedness of the represented value, so
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it can be used to represent both signed and unsigned numbers. For
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operations where the results depend on signedness (division, comparisons),
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it must be specified separately. For each such operation, there are three
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versions of the function -- double_int_op, that takes an extra UNS argument
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giving the signedness of the values, and double_int_sop and double_int_uop
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that stand for its specializations for signed and unsigned values.
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You may also represent with numbers in smaller precision using double_int.
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You however need to use double_int_ext (that fills in the bits of the
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number over the prescribed precision with zeros or with the sign bit) before
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operations that do not perform arithmetics modulo 2^precision (comparisons,
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division), and possibly before storing the results, if you want to keep
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them in some canonical form). In general, the signedness of double_int_ext
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should match the signedness of the operation.
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??? The components of double_int differ in signedness mostly for
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historical reasons (they replace an older structure used to represent
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numbers with precision higher than HOST_WIDE_INT). It might be less
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confusing to have them both signed or both unsigned. */
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typedef struct
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{
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unsigned HOST_WIDE_INT low;
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HOST_WIDE_INT high;
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} double_int;
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#define HOST_BITS_PER_DOUBLE_INT (2 * HOST_BITS_PER_WIDE_INT)
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/* Constructors and conversions. */
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/* Constructs double_int from integer CST. The bits over the precision of
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HOST_WIDE_INT are filled with the sign bit. */
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static inline double_int
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shwi_to_double_int (HOST_WIDE_INT cst)
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{
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double_int r;
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r.low = (unsigned HOST_WIDE_INT) cst;
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r.high = cst < 0 ? -1 : 0;
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return r;
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}
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/* Some useful constants. */
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#define double_int_minus_one (shwi_to_double_int (-1))
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#define double_int_zero (shwi_to_double_int (0))
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#define double_int_one (shwi_to_double_int (1))
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#define double_int_two (shwi_to_double_int (2))
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#define double_int_ten (shwi_to_double_int (10))
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/* Constructs double_int from unsigned integer CST. The bits over the
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precision of HOST_WIDE_INT are filled with zeros. */
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static inline double_int
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uhwi_to_double_int (unsigned HOST_WIDE_INT cst)
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{
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double_int r;
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r.low = cst;
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r.high = 0;
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return r;
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}
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/* Returns value of CST as a signed number. CST must satisfy
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double_int_fits_in_shwi_p. */
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static inline HOST_WIDE_INT
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double_int_to_shwi (double_int cst)
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{
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return (HOST_WIDE_INT) cst.low;
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}
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/* Returns value of CST as an unsigned number. CST must satisfy
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double_int_fits_in_uhwi_p. */
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static inline unsigned HOST_WIDE_INT
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double_int_to_uhwi (double_int cst)
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{
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return cst.low;
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}
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bool double_int_fits_in_hwi_p (double_int, bool);
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bool double_int_fits_in_shwi_p (double_int);
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/* Returns true if CST fits in unsigned HOST_WIDE_INT. */
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static inline bool
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double_int_fits_in_uhwi_p (double_int cst)
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{
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return cst.high == 0;
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}
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/* The following operations perform arithmetics modulo 2^precision,
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so you do not need to call double_int_ext between them, even if
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you are representing numbers with precision less than
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2 * HOST_BITS_PER_WIDE_INT bits. */
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double_int double_int_mul (double_int, double_int);
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double_int double_int_mul_with_sign (double_int, double_int, bool, int *);
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double_int double_int_add (double_int, double_int);
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double_int double_int_sub (double_int, double_int);
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double_int double_int_neg (double_int);
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/* You must ensure that double_int_ext is called on the operands
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of the following operations, if the precision of the numbers
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is less than 2 * HOST_BITS_PER_WIDE_INT bits. */
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double_int double_int_div (double_int, double_int, bool, unsigned);
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double_int double_int_sdiv (double_int, double_int, unsigned);
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double_int double_int_udiv (double_int, double_int, unsigned);
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double_int double_int_mod (double_int, double_int, bool, unsigned);
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double_int double_int_smod (double_int, double_int, unsigned);
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double_int double_int_umod (double_int, double_int, unsigned);
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double_int double_int_divmod (double_int, double_int, bool, unsigned, double_int *);
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double_int double_int_sdivmod (double_int, double_int, unsigned, double_int *);
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double_int double_int_udivmod (double_int, double_int, unsigned, double_int *);
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double_int double_int_setbit (double_int, unsigned);
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int double_int_ctz (double_int);
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/* Logical operations. */
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/* Returns ~A. */
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static inline double_int
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double_int_not (double_int a)
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{
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a.low = ~a.low;
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a.high = ~a.high;
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return a;
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}
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/* Returns A | B. */
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static inline double_int
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double_int_ior (double_int a, double_int b)
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{
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a.low |= b.low;
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a.high |= b.high;
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return a;
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}
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/* Returns A & B. */
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static inline double_int
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double_int_and (double_int a, double_int b)
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{
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a.low &= b.low;
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a.high &= b.high;
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return a;
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}
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/* Returns A & ~B. */
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static inline double_int
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double_int_and_not (double_int a, double_int b)
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{
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a.low &= ~b.low;
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a.high &= ~b.high;
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return a;
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}
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/* Returns A ^ B. */
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static inline double_int
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double_int_xor (double_int a, double_int b)
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{
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a.low ^= b.low;
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a.high ^= b.high;
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return a;
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}
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/* Shift operations. */
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double_int double_int_lshift (double_int, HOST_WIDE_INT, unsigned int, bool);
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double_int double_int_rshift (double_int, HOST_WIDE_INT, unsigned int, bool);
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double_int double_int_lrotate (double_int, HOST_WIDE_INT, unsigned int);
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double_int double_int_rrotate (double_int, HOST_WIDE_INT, unsigned int);
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/* Returns true if CST is negative. Of course, CST is considered to
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be signed. */
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static inline bool
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double_int_negative_p (double_int cst)
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{
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return cst.high < 0;
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}
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int double_int_cmp (double_int, double_int, bool);
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int double_int_scmp (double_int, double_int);
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int double_int_ucmp (double_int, double_int);
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double_int double_int_max (double_int, double_int, bool);
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double_int double_int_smax (double_int, double_int);
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double_int double_int_umax (double_int, double_int);
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double_int double_int_min (double_int, double_int, bool);
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double_int double_int_smin (double_int, double_int);
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double_int double_int_umin (double_int, double_int);
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void dump_double_int (FILE *, double_int, bool);
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/* Zero and sign extension of numbers in smaller precisions. */
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double_int double_int_ext (double_int, unsigned, bool);
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double_int double_int_sext (double_int, unsigned);
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double_int double_int_zext (double_int, unsigned);
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double_int double_int_mask (unsigned);
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#define ALL_ONES (~((unsigned HOST_WIDE_INT) 0))
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/* The operands of the following comparison functions must be processed
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with double_int_ext, if their precision is less than
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2 * HOST_BITS_PER_WIDE_INT bits. */
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/* Returns true if CST is zero. */
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static inline bool
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double_int_zero_p (double_int cst)
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{
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return cst.low == 0 && cst.high == 0;
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}
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/* Returns true if CST is one. */
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static inline bool
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double_int_one_p (double_int cst)
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{
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return cst.low == 1 && cst.high == 0;
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}
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/* Returns true if CST is minus one. */
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static inline bool
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double_int_minus_one_p (double_int cst)
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{
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return (cst.low == ALL_ONES && cst.high == -1);
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}
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/* Returns true if CST1 == CST2. */
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static inline bool
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double_int_equal_p (double_int cst1, double_int cst2)
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{
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return cst1.low == cst2.low && cst1.high == cst2.high;
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}
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/* Legacy interface with decomposed high/low parts. */
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extern int add_double_with_sign (unsigned HOST_WIDE_INT, HOST_WIDE_INT,
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unsigned HOST_WIDE_INT, HOST_WIDE_INT,
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unsigned HOST_WIDE_INT *, HOST_WIDE_INT *,
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bool);
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#define add_double(l1,h1,l2,h2,lv,hv) \
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add_double_with_sign (l1, h1, l2, h2, lv, hv, false)
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extern int neg_double (unsigned HOST_WIDE_INT, HOST_WIDE_INT,
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unsigned HOST_WIDE_INT *, HOST_WIDE_INT *);
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extern int mul_double_with_sign (unsigned HOST_WIDE_INT, HOST_WIDE_INT,
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unsigned HOST_WIDE_INT, HOST_WIDE_INT,
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unsigned HOST_WIDE_INT *, HOST_WIDE_INT *,
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bool);
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#define mul_double(l1,h1,l2,h2,lv,hv) \
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mul_double_with_sign (l1, h1, l2, h2, lv, hv, false)
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extern void lshift_double (unsigned HOST_WIDE_INT, HOST_WIDE_INT,
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HOST_WIDE_INT, unsigned int,
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unsigned HOST_WIDE_INT *, HOST_WIDE_INT *, bool);
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extern void rshift_double (unsigned HOST_WIDE_INT, HOST_WIDE_INT,
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HOST_WIDE_INT, unsigned int,
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unsigned HOST_WIDE_INT *, HOST_WIDE_INT *, bool);
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extern int div_and_round_double (unsigned, int, unsigned HOST_WIDE_INT,
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HOST_WIDE_INT, unsigned HOST_WIDE_INT,
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HOST_WIDE_INT, unsigned HOST_WIDE_INT *,
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HOST_WIDE_INT *, unsigned HOST_WIDE_INT *,
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HOST_WIDE_INT *);
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#ifndef GENERATOR_FILE
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/* Conversion to and from GMP integer representations. */
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void mpz_set_double_int (mpz_t, double_int, bool);
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double_int mpz_get_double_int (const_tree, mpz_t, bool);
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#endif
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#endif /* DOUBLE_INT_H */
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