summaryrefslogtreecommitdiff
path: root/src/cairo-wideint-private.h
blob: d3b01cb0eb7501b9a1f7f6d589bde4622570f321 (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
/* 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., 59 Temple Place, Suite 330, Boston, MA 02111-1307 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_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;
}

#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 comparisions 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)
{
    return num / den;
}

/*
 * 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 */