/* cairo - a vector graphics library with display and print output * * Copyright © 2004 Keith Packard * * This library is free software; you can redistribute it and/or * modify it either under the terms of the GNU Lesser General Public * License version 2.1 as published by the Free Software Foundation * (the "LGPL") or, at your option, under the terms of the Mozilla * Public License Version 1.1 (the "MPL"). If you do not alter this * notice, a recipient may use your version of this file under either * the MPL or the LGPL. * * You should have received a copy of the LGPL along with this library * in the file COPYING-LGPL-2.1; if not, write to the Free Software * Foundation, Inc., 51 Franklin Street, Suite 500, Boston, MA 02110-1335, USA * You should have received a copy of the MPL along with this library * in the file COPYING-MPL-1.1 * * The contents of this file are subject to the Mozilla Public License * Version 1.1 (the "License"); you may not use this file except in * compliance with the License. You may obtain a copy of the License at * http://www.mozilla.org/MPL/ * * This software is distributed on an "AS IS" basis, WITHOUT WARRANTY * OF ANY KIND, either express or implied. See the LGPL or the MPL for * the specific language governing rights and limitations. * * The Original Code is the cairo graphics library. * * The Initial Developer of the Original Code is Keith Packard * * Contributor(s): * Keith R. Packard * */ #ifndef CAIRO_WIDEINT_H #define CAIRO_WIDEINT_H #include "cairo-wideint-type-private.h" #include "cairo-compiler-private.h" /* * 64-bit datatypes. Two separate implementations, one using * built-in 64-bit signed/unsigned types another implemented * as a pair of 32-bit ints */ #define I cairo_private cairo_const #if !HAVE_UINT64_T cairo_uquorem64_t I _cairo_uint64_divrem (cairo_uint64_t num, cairo_uint64_t den); cairo_uint64_t I _cairo_double_to_uint64 (double i); double I _cairo_uint64_to_double (cairo_uint64_t i); cairo_int64_t I _cairo_double_to_int64 (double i); double I _cairo_int64_to_double (cairo_uint64_t i); cairo_uint64_t I _cairo_uint32_to_uint64 (uint32_t i); #define _cairo_uint64_to_uint32(a) ((a).lo) cairo_uint64_t I _cairo_uint64_add (cairo_uint64_t a, cairo_uint64_t b); cairo_uint64_t I _cairo_uint64_sub (cairo_uint64_t a, cairo_uint64_t b); cairo_uint64_t I _cairo_uint64_mul (cairo_uint64_t a, cairo_uint64_t b); cairo_uint64_t I _cairo_uint32x32_64_mul (uint32_t a, uint32_t b); cairo_uint64_t I _cairo_uint64_lsl (cairo_uint64_t a, int shift); cairo_uint64_t I _cairo_uint64_rsl (cairo_uint64_t a, int shift); cairo_uint64_t I _cairo_uint64_rsa (cairo_uint64_t a, int shift); int I _cairo_uint64_lt (cairo_uint64_t a, cairo_uint64_t b); int I _cairo_uint64_cmp (cairo_uint64_t a, cairo_uint64_t b); int I _cairo_uint64_eq (cairo_uint64_t a, cairo_uint64_t b); cairo_uint64_t I _cairo_uint64_negate (cairo_uint64_t a); #define _cairo_uint64_is_zero(a) ((a).hi == 0 && (a).lo == 0) #define _cairo_uint64_negative(a) (((int32_t) ((a).hi)) < 0) cairo_uint64_t I _cairo_uint64_not (cairo_uint64_t a); #define _cairo_uint64_to_int64(i) (i) #define _cairo_int64_to_uint64(i) (i) cairo_int64_t I _cairo_int32_to_int64(int32_t i); #define _cairo_int64_to_int32(a) ((int32_t) _cairo_uint64_to_uint32(a)) #define _cairo_int64_add(a,b) _cairo_uint64_add (a,b) #define _cairo_int64_sub(a,b) _cairo_uint64_sub (a,b) #define _cairo_int64_mul(a,b) _cairo_uint64_mul (a,b) cairo_int64_t I _cairo_int32x32_64_mul (int32_t a, int32_t b); int I _cairo_int64_lt (cairo_int64_t a, cairo_int64_t b); int I _cairo_int64_cmp (cairo_int64_t a, cairo_int64_t b); #define _cairo_int64_is_zero(a) _cairo_uint64_is_zero (a) #define _cairo_int64_eq(a,b) _cairo_uint64_eq (a,b) #define _cairo_int64_lsl(a,b) _cairo_uint64_lsl (a,b) #define _cairo_int64_rsl(a,b) _cairo_uint64_rsl (a,b) #define _cairo_int64_rsa(a,b) _cairo_uint64_rsa (a,b) #define _cairo_int64_negate(a) _cairo_uint64_negate(a) #define _cairo_int64_negative(a) (((int32_t) ((a).hi)) < 0) #define _cairo_int64_not(a) _cairo_uint64_not(a) #else static inline cairo_uquorem64_t _cairo_uint64_divrem (cairo_uint64_t num, cairo_uint64_t den) { cairo_uquorem64_t qr; qr.quo = num / den; qr.rem = num % den; return qr; } /* * These need to be functions or gcc will complain when used on the * result of a function: * * warning: cast from function call of type ‘#cairo_uint64_t’ to * non-matching type ‘double’ */ static cairo_always_inline cairo_const cairo_uint64_t _cairo_double_to_uint64 (double i) { return i; } static cairo_always_inline cairo_const double _cairo_uint64_to_double (cairo_uint64_t i) { return i; } static cairo_always_inline cairo_int64_t I _cairo_double_to_int64 (double i) { return i; } static cairo_always_inline double I _cairo_int64_to_double (cairo_int64_t i) { return i; } #define _cairo_uint32_to_uint64(i) ((uint64_t) (i)) #define _cairo_uint64_to_uint32(i) ((uint32_t) (i)) #define _cairo_uint64_add(a,b) ((a) + (b)) #define _cairo_uint64_sub(a,b) ((a) - (b)) #define _cairo_uint64_mul(a,b) ((a) * (b)) #define _cairo_uint32x32_64_mul(a,b) ((uint64_t) (a) * (b)) #define _cairo_uint64_lsl(a,b) ((a) << (b)) #define _cairo_uint64_rsl(a,b) ((uint64_t) (a) >> (b)) #define _cairo_uint64_rsa(a,b) ((uint64_t) ((int64_t) (a) >> (b))) #define _cairo_uint64_lt(a,b) ((a) < (b)) #define _cairo_uint64_cmp(a,b) ((a) == (b) ? 0 : (a) < (b) ? -1 : 1) #define _cairo_uint64_is_zero(a) ((a) == 0) #define _cairo_uint64_eq(a,b) ((a) == (b)) #define _cairo_uint64_negate(a) ((uint64_t) -((int64_t) (a))) #define _cairo_uint64_negative(a) ((int64_t) (a) < 0) #define _cairo_uint64_not(a) (~(a)) #define _cairo_uint64_to_int64(i) ((int64_t) (i)) #define _cairo_int64_to_uint64(i) ((uint64_t) (i)) #define _cairo_int32_to_int64(i) ((int64_t) (i)) #define _cairo_int64_to_int32(i) ((int32_t) (i)) #define _cairo_int64_add(a,b) ((a) + (b)) #define _cairo_int64_sub(a,b) ((a) - (b)) #define _cairo_int64_mul(a,b) ((a) * (b)) #define _cairo_int32x32_64_mul(a,b) ((int64_t) (a) * (b)) #define _cairo_int64_lt(a,b) ((a) < (b)) #define _cairo_int64_cmp(a,b) ((a) == (b) ? 0 : (a) < (b) ? -1 : 1) #define _cairo_int64_is_zero(a) ((a) == 0) #define _cairo_int64_eq(a,b) ((a) == (b)) #define _cairo_int64_lsl(a,b) ((a) << (b)) #define _cairo_int64_rsl(a,b) ((int64_t) ((uint64_t) (a) >> (b))) #define _cairo_int64_rsa(a,b) ((int64_t) (a) >> (b)) #define _cairo_int64_negate(a) (-(a)) #define _cairo_int64_negative(a) ((a) < 0) #define _cairo_int64_not(a) (~(a)) #endif /* * 64-bit comparisons derived from lt or eq */ #define _cairo_uint64_le(a,b) (!_cairo_uint64_gt(a,b)) #define _cairo_uint64_ne(a,b) (!_cairo_uint64_eq(a,b)) #define _cairo_uint64_ge(a,b) (!_cairo_uint64_lt(a,b)) #define _cairo_uint64_gt(a,b) _cairo_uint64_lt(b,a) #define _cairo_int64_le(a,b) (!_cairo_int64_gt(a,b)) #define _cairo_int64_ne(a,b) (!_cairo_int64_eq(a,b)) #define _cairo_int64_ge(a,b) (!_cairo_int64_lt(a,b)) #define _cairo_int64_gt(a,b) _cairo_int64_lt(b,a) /* * As the C implementation always computes both, create * a function which returns both for the 'native' type as well */ static inline cairo_quorem64_t _cairo_int64_divrem (cairo_int64_t num, cairo_int64_t den) { int num_neg = _cairo_int64_negative (num); int den_neg = _cairo_int64_negative (den); cairo_uquorem64_t uqr; cairo_quorem64_t qr; if (num_neg) num = _cairo_int64_negate (num); if (den_neg) den = _cairo_int64_negate (den); uqr = _cairo_uint64_divrem (num, den); if (num_neg) qr.rem = _cairo_int64_negate (uqr.rem); else qr.rem = uqr.rem; if (num_neg != den_neg) qr.quo = (cairo_int64_t) _cairo_int64_negate (uqr.quo); else qr.quo = (cairo_int64_t) uqr.quo; return qr; } static inline int32_t _cairo_int64_32_div (cairo_int64_t num, int32_t den) { #if !HAVE_UINT64_T return _cairo_int64_to_int32 (_cairo_int64_divrem (num, _cairo_int32_to_int64 (den)).quo); #else return num / den; #endif } /* * 128-bit datatypes. Again, provide two implementations in * case the machine has a native 128-bit datatype. GCC supports int128_t * on ia64 */ #if !HAVE_UINT128_T cairo_uint128_t I _cairo_uint32_to_uint128 (uint32_t i); cairo_uint128_t I _cairo_uint64_to_uint128 (cairo_uint64_t i); #define _cairo_uint128_to_uint64(a) ((a).lo) #define _cairo_uint128_to_uint32(a) _cairo_uint64_to_uint32(_cairo_uint128_to_uint64(a)) cairo_uint128_t I _cairo_uint128_add (cairo_uint128_t a, cairo_uint128_t b); cairo_uint128_t I _cairo_uint128_sub (cairo_uint128_t a, cairo_uint128_t b); cairo_uint128_t I _cairo_uint128_mul (cairo_uint128_t a, cairo_uint128_t b); cairo_uint128_t I _cairo_uint64x64_128_mul (cairo_uint64_t a, cairo_uint64_t b); cairo_uint128_t I _cairo_uint128_lsl (cairo_uint128_t a, int shift); cairo_uint128_t I _cairo_uint128_rsl (cairo_uint128_t a, int shift); cairo_uint128_t I _cairo_uint128_rsa (cairo_uint128_t a, int shift); int I _cairo_uint128_lt (cairo_uint128_t a, cairo_uint128_t b); int I _cairo_uint128_cmp (cairo_uint128_t a, cairo_uint128_t b); int I _cairo_uint128_eq (cairo_uint128_t a, cairo_uint128_t b); #define _cairo_uint128_is_zero(a) (_cairo_uint64_is_zero ((a).hi) && _cairo_uint64_is_zero ((a).lo)) cairo_uint128_t I _cairo_uint128_negate (cairo_uint128_t a); #define _cairo_uint128_negative(a) (_cairo_uint64_negative(a.hi)) cairo_uint128_t I _cairo_uint128_not (cairo_uint128_t a); #define _cairo_uint128_to_int128(i) (i) #define _cairo_int128_to_uint128(i) (i) cairo_int128_t I _cairo_int32_to_int128 (int32_t i); cairo_int128_t I _cairo_int64_to_int128 (cairo_int64_t i); #define _cairo_int128_to_int64(a) ((cairo_int64_t) (a).lo) #define _cairo_int128_to_int32(a) _cairo_int64_to_int32(_cairo_int128_to_int64(a)) #define _cairo_int128_add(a,b) _cairo_uint128_add(a,b) #define _cairo_int128_sub(a,b) _cairo_uint128_sub(a,b) #define _cairo_int128_mul(a,b) _cairo_uint128_mul(a,b) cairo_int128_t I _cairo_int64x64_128_mul (cairo_int64_t a, cairo_int64_t b); #define _cairo_int64x32_128_mul(a, b) _cairo_int64x64_128_mul(a, _cairo_int32_to_int64(b)) #define _cairo_int128_lsl(a,b) _cairo_uint128_lsl(a,b) #define _cairo_int128_rsl(a,b) _cairo_uint128_rsl(a,b) #define _cairo_int128_rsa(a,b) _cairo_uint128_rsa(a,b) int I _cairo_int128_lt (cairo_int128_t a, cairo_int128_t b); int I _cairo_int128_cmp (cairo_int128_t a, cairo_int128_t b); #define _cairo_int128_is_zero(a) _cairo_uint128_is_zero (a) #define _cairo_int128_eq(a,b) _cairo_uint128_eq (a,b) #define _cairo_int128_negate(a) _cairo_uint128_negate(a) #define _cairo_int128_negative(a) (_cairo_uint128_negative(a)) #define _cairo_int128_not(a) _cairo_uint128_not(a) #else /* !HAVE_UINT128_T */ #define _cairo_uint32_to_uint128(i) ((uint128_t) (i)) #define _cairo_uint64_to_uint128(i) ((uint128_t) (i)) #define _cairo_uint128_to_uint64(i) ((uint64_t) (i)) #define _cairo_uint128_to_uint32(i) ((uint32_t) (i)) #define _cairo_uint128_add(a,b) ((a) + (b)) #define _cairo_uint128_sub(a,b) ((a) - (b)) #define _cairo_uint128_mul(a,b) ((a) * (b)) #define _cairo_uint64x64_128_mul(a,b) ((uint128_t) (a) * (b)) #define _cairo_uint128_lsl(a,b) ((a) << (b)) #define _cairo_uint128_rsl(a,b) ((uint128_t) (a) >> (b)) #define _cairo_uint128_rsa(a,b) ((uint128_t) ((int128_t) (a) >> (b))) #define _cairo_uint128_lt(a,b) ((a) < (b)) #define _cairo_uint128_cmp(a,b) ((a) == (b) ? 0 : (a) < (b) ? -1 : 1) #define _cairo_uint128_is_zero(a) ((a) == 0) #define _cairo_uint128_eq(a,b) ((a) == (b)) #define _cairo_uint128_negate(a) ((uint128_t) -((int128_t) (a))) #define _cairo_uint128_negative(a) ((int128_t) (a) < 0) #define _cairo_uint128_not(a) (~(a)) #define _cairo_uint128_to_int128(i) ((int128_t) (i)) #define _cairo_int128_to_uint128(i) ((uint128_t) (i)) #define _cairo_int32_to_int128(i) ((int128_t) (i)) #define _cairo_int64_to_int128(i) ((int128_t) (i)) #define _cairo_int128_to_int64(i) ((int64_t) (i)) #define _cairo_int128_to_int32(i) ((int32_t) (i)) #define _cairo_int128_add(a,b) ((a) + (b)) #define _cairo_int128_sub(a,b) ((a) - (b)) #define _cairo_int128_mul(a,b) ((a) * (b)) #define _cairo_int64x64_128_mul(a,b) ((int128_t) (a) * (b)) #define _cairo_int64x32_128_mul(a, b) _cairo_int64x64_128_mul(a, _cairo_int32_to_int64(b)) #define _cairo_int128_lt(a,b) ((a) < (b)) #define _cairo_int128_cmp(a,b) ((a) == (b) ? 0 : (a) < (b) ? -1 : 1) #define _cairo_int128_is_zero(a) ((a) == 0) #define _cairo_int128_eq(a,b) ((a) == (b)) #define _cairo_int128_lsl(a,b) ((a) << (b)) #define _cairo_int128_rsl(a,b) ((int128_t) ((uint128_t) (a) >> (b))) #define _cairo_int128_rsa(a,b) ((int128_t) (a) >> (b)) #define _cairo_int128_negate(a) (-(a)) #define _cairo_int128_negative(a) ((a) < 0) #define _cairo_int128_not(a) (~(a)) #endif /* HAVE_UINT128_T */ cairo_uquorem128_t I _cairo_uint128_divrem (cairo_uint128_t num, cairo_uint128_t den); cairo_quorem128_t I _cairo_int128_divrem (cairo_int128_t num, cairo_int128_t den); cairo_uquorem64_t I _cairo_uint_96by64_32x64_divrem (cairo_uint128_t num, cairo_uint64_t den); cairo_quorem64_t I _cairo_int_96by64_32x64_divrem (cairo_int128_t num, cairo_int64_t den); #define _cairo_uint128_le(a,b) (!_cairo_uint128_gt(a,b)) #define _cairo_uint128_ne(a,b) (!_cairo_uint128_eq(a,b)) #define _cairo_uint128_ge(a,b) (!_cairo_uint128_lt(a,b)) #define _cairo_uint128_gt(a,b) _cairo_uint128_lt(b,a) #define _cairo_int128_le(a,b) (!_cairo_int128_gt(a,b)) #define _cairo_int128_ne(a,b) (!_cairo_int128_eq(a,b)) #define _cairo_int128_ge(a,b) (!_cairo_int128_lt(a,b)) #define _cairo_int128_gt(a,b) _cairo_int128_lt(b,a) #undef I #endif /* CAIRO_WIDEINT_H */