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+/* 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 <keithp@keithp.com>
+ *
+ */
+
+#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 */