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cairo-wideint.c File Reference

Implementation of the cairo_x functions which implement high precision arithmetic. More...

#include "cairo-wideint-private.h"
#include <climits>
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Macros

#define _cairo_msbset64(q)   (q.hi & ((uint32_t) 1 << 31))
 
#define _cairo_uint32_rsa(a, n)   ((uint32_t) (((int32_t) (a)) >> (n)))
 
#define uint32_carry16   ((1) << 16)
 
#define uint32_hi(i)   ((i) >> 16)
 
#define uint32_lo(i)   ((i) & 0xffff)
 
#define uint64_hi32(i)   ((i).hi)
 
#define uint64_lo32(i)   ((i).lo)
 

Functions

cairo_quorem128_t _cairo_int128_divrem (cairo_int128_t num, cairo_int128_t den)
 
int _cairo_int128_lt (cairo_int128_t a, cairo_int128_t b)
 
cairo_int128_t _cairo_int32_to_int128 (int32_t i)
 
cairo_int64_t _cairo_int32_to_int64 (int32_t i)
 
cairo_int64_t _cairo_int32x32_64_mul (int32_t a, int32_t b)
 
cairo_quorem64_t _cairo_int64_divrem (cairo_int64_t num, cairo_int64_t den)
 
int _cairo_int64_lt (cairo_int64_t a, cairo_int64_t b)
 
cairo_int128_t _cairo_int64_to_int128 (cairo_int64_t i)
 
cairo_int128_t _cairo_int64x64_128_mul (cairo_int64_t a, cairo_int64_t b)
 
cairo_quorem64_t _cairo_int_96by64_32x64_divrem (cairo_int128_t num, cairo_int64_t den)
 
cairo_uint128_t _cairo_uint128_add (cairo_uint128_t a, cairo_uint128_t b)
 
cairo_uquorem128_t _cairo_uint128_divrem (cairo_uint128_t num, cairo_uint128_t den)
 
int _cairo_uint128_eq (cairo_uint128_t a, cairo_uint128_t b)
 
cairo_uint128_t _cairo_uint128_lsl (cairo_uint128_t a, int shift)
 
int _cairo_uint128_lt (cairo_uint128_t a, cairo_uint128_t b)
 
cairo_uint128_t _cairo_uint128_mul (cairo_uint128_t a, cairo_uint128_t b)
 
cairo_uint128_t _cairo_uint128_negate (cairo_uint128_t a)
 
cairo_uint128_t _cairo_uint128_not (cairo_uint128_t a)
 
cairo_uint128_t _cairo_uint128_rsa (cairo_uint128_t a, int shift)
 
cairo_uint128_t _cairo_uint128_rsl (cairo_uint128_t a, int shift)
 
cairo_uint128_t _cairo_uint128_sub (cairo_uint128_t a, cairo_uint128_t b)
 
cairo_uint128_t _cairo_uint32_to_uint128 (uint32_t i)
 
cairo_uint64_t _cairo_uint32_to_uint64 (uint32_t i)
 
static cairo_uint64_t _cairo_uint32s_to_uint64 (uint32_t h, uint32_t l)
 
cairo_uint64_t _cairo_uint32x32_64_mul (uint32_t a, uint32_t b)
 
cairo_uint64_t _cairo_uint64_add (cairo_uint64_t a, cairo_uint64_t b)
 
cairo_uquorem64_t _cairo_uint64_divrem (cairo_uint64_t num, cairo_uint64_t den)
 
int _cairo_uint64_eq (cairo_uint64_t a, cairo_uint64_t b)
 
cairo_uint64_t _cairo_uint64_lsl (cairo_uint64_t a, int shift)
 
int _cairo_uint64_lt (cairo_uint64_t a, cairo_uint64_t b)
 
cairo_uint64_t _cairo_uint64_mul (cairo_uint64_t a, cairo_uint64_t b)
 
cairo_uint64_t _cairo_uint64_negate (cairo_uint64_t a)
 
cairo_uint64_t _cairo_uint64_not (cairo_uint64_t a)
 
cairo_int64_t _cairo_uint64_rsa (cairo_int64_t a, int shift)
 
cairo_uint64_t _cairo_uint64_rsl (cairo_uint64_t a, int shift)
 
cairo_uint64_t _cairo_uint64_sub (cairo_uint64_t a, cairo_uint64_t b)
 
cairo_uint128_t _cairo_uint64_to_uint128 (cairo_uint64_t i)
 
cairo_uint128_t _cairo_uint64x64_128_mul (cairo_uint64_t a, cairo_uint64_t b)
 
cairo_uquorem64_t _cairo_uint_96by64_32x64_divrem (cairo_uint128_t num, cairo_uint64_t den)
 _cairo_uint_96by64_32x64_divrem:
 
const char * cairo_impl128 ()
 
const char * cairo_impl64 ()
 
static cairo_uint64_t uint64_hi (cairo_uint64_t i)
 
static cairo_uint64_t uint64_lo (cairo_uint64_t i)
 
static cairo_uint64_t uint64_shift32 (cairo_uint64_t i)
 

Variables

static const cairo_uint64_t uint64_carry32 = { 0, 1 }
 

Detailed Description

Implementation of the cairo_x functions which implement high precision arithmetic.

Definition in file cairo-wideint.c.

Macro Definition Documentation

◆ _cairo_msbset64

#define _cairo_msbset64 ( q)    (q.hi & ((uint32_t) 1 << 31))

Definition at line 626 of file cairo-wideint.c.

Referenced by _cairo_uint128_divrem().

◆ _cairo_uint32_rsa

#define _cairo_uint32_rsa ( a,
n )   ((uint32_t) (((int32_t) (a)) >> (n)))

Definition at line 222 of file cairo-wideint.c.

Referenced by _cairo_uint64_rsa().

◆ uint32_carry16

#define uint32_carry16   ((1) << 16)

Definition at line 136 of file cairo-wideint.c.

Referenced by _cairo_uint32x32_64_mul().

◆ uint32_hi

#define uint32_hi ( i)    ((i) >> 16)

Definition at line 135 of file cairo-wideint.c.

Referenced by _cairo_uint32x32_64_mul().

◆ uint32_lo

#define uint32_lo ( i)    ((i) & 0xffff)

Definition at line 134 of file cairo-wideint.c.

Referenced by _cairo_uint32x32_64_mul().

◆ uint64_hi32

#define uint64_hi32 ( i)    ((i).hi)

Definition at line 452 of file cairo-wideint.c.

Referenced by _cairo_uint64x64_128_mul(), and _cairo_uint_96by64_32x64_divrem().

◆ uint64_lo32

#define uint64_lo32 ( i)    ((i).lo)

Definition at line 451 of file cairo-wideint.c.

Referenced by _cairo_uint64x64_128_mul().

Function Documentation

◆ _cairo_int128_divrem()

cairo_quorem128_t _cairo_int128_divrem ( cairo_int128_t num,
cairo_int128_t den )

Definition at line 681 of file cairo-wideint.c.

References _cairo_int128_negate, _cairo_int128_negative, _cairo_uint128_divrem(), cairo_quorem128_t::quo, cairo_uquorem128_t::quo, cairo_quorem128_t::rem, and cairo_uquorem128_t::rem.

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◆ _cairo_int128_lt()

int _cairo_int128_lt ( cairo_int128_t a,
cairo_int128_t b )

Definition at line 607 of file cairo-wideint.c.

References _cairo_int128_negative, and _cairo_uint128_lt().

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◆ _cairo_int32_to_int128()

cairo_int128_t _cairo_int32_to_int128 ( int32_t i)

Definition at line 387 of file cairo-wideint.c.

References _cairo_int32_to_int64(), cairo_int128_t::hi, and cairo_int128_t::lo.

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◆ _cairo_int32_to_int64()

cairo_int64_t _cairo_int32_to_int64 ( int32_t i)

Definition at line 91 of file cairo-wideint.c.

Referenced by _cairo_int32_to_int128(), and _cairo_int64_to_int128().

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◆ _cairo_int32x32_64_mul()

cairo_int64_t _cairo_int32x32_64_mul ( int32_t a,
int32_t b )

Definition at line 167 of file cairo-wideint.c.

References _cairo_uint32x32_64_mul(), and cairo_int64_t::hi.

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◆ _cairo_int64_divrem()

cairo_quorem64_t _cairo_int64_divrem ( cairo_int64_t num,
cairo_int64_t den )

Definition at line 321 of file cairo-wideint.c.

References _cairo_int64_negate, _cairo_int64_negative, _cairo_uint64_divrem(), cairo_quorem64_t::quo, cairo_uquorem64_t::quo, cairo_quorem64_t::rem, and cairo_uquorem64_t::rem.

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◆ _cairo_int64_lt()

int _cairo_int64_lt ( cairo_int64_t a,
cairo_int64_t b )

Definition at line 255 of file cairo-wideint.c.

References _cairo_int64_negative, and _cairo_uint64_lt().

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◆ _cairo_int64_to_int128()

cairo_int128_t _cairo_int64_to_int128 ( cairo_int64_t i)

Definition at line 407 of file cairo-wideint.c.

References _cairo_int32_to_int64(), _cairo_int64_negative, cairo_int128_t::hi, and cairo_int128_t::lo.

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◆ _cairo_int64x64_128_mul()

cairo_int128_t _cairo_int64x64_128_mul ( cairo_int64_t a,
cairo_int64_t b )

Definition at line 517 of file cairo-wideint.c.

References _cairo_int64_negative, _cairo_int64_to_uint64, _cairo_uint64_sub(), _cairo_uint64x64_128_mul(), and cairo_int128_t::hi.

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◆ _cairo_int_96by64_32x64_divrem()

cairo_quorem64_t _cairo_int_96by64_32x64_divrem ( cairo_int128_t num,
cairo_int64_t den )

Definition at line 824 of file cairo-wideint.c.

References _cairo_int128_negate, _cairo_int128_negative, _cairo_int64_negate, _cairo_int64_negative, _cairo_int64_to_uint64, _cairo_uint32s_to_uint64(), _cairo_uint64_eq(), _cairo_uint_96by64_32x64_divrem(), cairo_quorem64_t::quo, cairo_uquorem64_t::quo, cairo_quorem64_t::rem, and cairo_uquorem64_t::rem.

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◆ _cairo_uint128_add()

cairo_uint128_t _cairo_uint128_add ( cairo_uint128_t a,
cairo_uint128_t b )

Definition at line 417 of file cairo-wideint.c.

References _cairo_uint32_to_uint64(), _cairo_uint64_add(), and _cairo_uint64_lt().

Referenced by _cairo_uint128_divrem(), _cairo_uint128_negate(), ns3::int64x64_t::Round(), ns3::int64x64_t::Udiv(), ns3::int64x64_t::Umul(), and ns3::int64x64_t::UmulByInvert().

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◆ _cairo_uint128_divrem()

cairo_uquorem128_t _cairo_uint128_divrem ( cairo_uint128_t num,
cairo_uint128_t den )

Definition at line 630 of file cairo-wideint.c.

References _cairo_msbset64, _cairo_uint128_add(), _cairo_uint128_le, _cairo_uint128_lsl(), _cairo_uint128_lt(), _cairo_uint128_ne, _cairo_uint128_rsl(), _cairo_uint128_sub(), _cairo_uint32_to_uint128(), cairo_uquorem128_t::quo, and cairo_uquorem128_t::rem.

Referenced by _cairo_int128_divrem(), and ns3::int64x64_t::Udiv().

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◆ _cairo_uint128_eq()

int _cairo_uint128_eq ( cairo_uint128_t a,
cairo_uint128_t b )

Definition at line 617 of file cairo-wideint.c.

References _cairo_uint64_eq().

Referenced by ns3::int64x64_t::Udiv().

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◆ _cairo_uint128_lsl()

cairo_uint128_t _cairo_uint128_lsl ( cairo_uint128_t a,
int shift )

Definition at line 545 of file cairo-wideint.c.

References _cairo_uint32_to_uint64(), _cairo_uint64_add(), _cairo_uint64_lsl(), and _cairo_uint64_rsl().

Referenced by _cairo_uint128_divrem(), ns3::int64x64_t::Udiv(), and ns3::int64x64_t::Umul().

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◆ _cairo_uint128_lt()

int _cairo_uint128_lt ( cairo_uint128_t a,
cairo_uint128_t b )

Definition at line 599 of file cairo-wideint.c.

References _cairo_uint64_eq(), and _cairo_uint64_lt().

Referenced by _cairo_int128_lt(), _cairo_uint128_divrem(), and ns3::int64x64_t::Udiv().

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◆ _cairo_uint128_mul()

cairo_uint128_t _cairo_uint128_mul ( cairo_uint128_t a,
cairo_uint128_t b )

Definition at line 532 of file cairo-wideint.c.

References _cairo_uint64_add(), _cairo_uint64_mul(), and _cairo_uint64x64_128_mul().

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◆ _cairo_uint128_negate()

cairo_uint128_t _cairo_uint128_negate ( cairo_uint128_t a)

Definition at line 663 of file cairo-wideint.c.

References _cairo_uint128_add(), _cairo_uint32_to_uint128(), and _cairo_uint64_not().

Referenced by ns3::output_sign().

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◆ _cairo_uint128_not()

cairo_uint128_t _cairo_uint128_not ( cairo_uint128_t a)

Definition at line 671 of file cairo-wideint.c.

References _cairo_uint64_not().

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◆ _cairo_uint128_rsa()

cairo_uint128_t _cairo_uint128_rsa ( cairo_uint128_t a,
int shift )

Definition at line 581 of file cairo-wideint.c.

References _cairo_uint64_add(), _cairo_uint64_lsl(), _cairo_uint64_rsa(), and _cairo_uint64_rsl().

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◆ _cairo_uint128_rsl()

cairo_uint128_t _cairo_uint128_rsl ( cairo_uint128_t a,
int shift )

Definition at line 563 of file cairo-wideint.c.

References _cairo_uint32_to_uint64(), _cairo_uint64_add(), _cairo_uint64_lsl(), and _cairo_uint64_rsl().

Referenced by _cairo_uint128_divrem(), _cairo_uint_96by64_32x64_divrem(), and ns3::int64x64_t::Udiv().

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◆ _cairo_uint128_sub()

cairo_uint128_t _cairo_uint128_sub ( cairo_uint128_t a,
cairo_uint128_t b )

Definition at line 429 of file cairo-wideint.c.

References _cairo_uint32_to_uint64(), _cairo_uint64_gt, and _cairo_uint64_sub().

Referenced by _cairo_uint128_divrem().

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◆ _cairo_uint32_to_uint128()

cairo_uint128_t _cairo_uint32_to_uint128 ( uint32_t i)

Definition at line 377 of file cairo-wideint.c.

References _cairo_uint32_to_uint64().

Referenced by _cairo_uint128_divrem(), _cairo_uint128_negate(), and ns3::int64x64_t::Udiv().

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◆ _cairo_uint32_to_uint64()

cairo_uint64_t _cairo_uint32_to_uint64 ( uint32_t i)

Definition at line 81 of file cairo-wideint.c.

Referenced by _cairo_uint128_add(), _cairo_uint128_lsl(), _cairo_uint128_rsl(), _cairo_uint128_sub(), _cairo_uint32_to_uint128(), _cairo_uint64_divrem(), _cairo_uint64_to_uint128(), and _cairo_uint_96by64_32x64_divrem().

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◆ _cairo_uint32s_to_uint64()

static cairo_uint64_t _cairo_uint32s_to_uint64 ( uint32_t h,
uint32_t l )
static

Definition at line 101 of file cairo-wideint.c.

Referenced by _cairo_int_96by64_32x64_divrem(), and _cairo_uint_96by64_32x64_divrem().

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◆ _cairo_uint32x32_64_mul()

cairo_uint64_t _cairo_uint32x32_64_mul ( uint32_t a,
uint32_t b )

Definition at line 139 of file cairo-wideint.c.

References uint32_carry16, uint32_hi, and uint32_lo.

Referenced by _cairo_int32x32_64_mul(), _cairo_uint64_mul(), _cairo_uint64x64_128_mul(), and _cairo_uint_96by64_32x64_divrem().

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◆ _cairo_uint64_add()

cairo_uint64_t _cairo_uint64_add ( cairo_uint64_t a,
cairo_uint64_t b )

Definition at line 111 of file cairo-wideint.c.

Referenced by _cairo_uint128_add(), _cairo_uint128_lsl(), _cairo_uint128_mul(), _cairo_uint128_rsa(), _cairo_uint128_rsl(), _cairo_uint64_divrem(), _cairo_uint64x64_128_mul(), and _cairo_uint_96by64_32x64_divrem().

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◆ _cairo_uint64_divrem()

cairo_uquorem64_t _cairo_uint64_divrem ( cairo_uint64_t num,
cairo_uint64_t den )

Definition at line 286 of file cairo-wideint.c.

References _cairo_uint32_to_uint64(), _cairo_uint64_add(), _cairo_uint64_le, _cairo_uint64_lsl(), _cairo_uint64_lt(), _cairo_uint64_rsl(), _cairo_uint64_sub(), cairo_uquorem64_t::quo, and cairo_uquorem64_t::rem.

Referenced by _cairo_int64_divrem(), and _cairo_uint_96by64_32x64_divrem().

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◆ _cairo_uint64_eq()

int _cairo_uint64_eq ( cairo_uint64_t a,
cairo_uint64_t b )

Definition at line 249 of file cairo-wideint.c.

Referenced by _cairo_int_96by64_32x64_divrem(), _cairo_uint128_eq(), and _cairo_uint128_lt().

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◆ _cairo_uint64_lsl()

cairo_uint64_t _cairo_uint64_lsl ( cairo_uint64_t a,
int shift )

Definition at line 189 of file cairo-wideint.c.

Referenced by _cairo_uint128_lsl(), _cairo_uint128_rsa(), _cairo_uint128_rsl(), and _cairo_uint64_divrem().

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◆ _cairo_uint64_lt()

int _cairo_uint64_lt ( cairo_uint64_t a,
cairo_uint64_t b )

Definition at line 242 of file cairo-wideint.c.

Referenced by _cairo_int64_lt(), _cairo_uint128_add(), _cairo_uint128_lt(), _cairo_uint64_divrem(), _cairo_uint64x64_128_mul(), and _cairo_uint_96by64_32x64_divrem().

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◆ _cairo_uint64_mul()

cairo_uint64_t _cairo_uint64_mul ( cairo_uint64_t a,
cairo_uint64_t b )

Definition at line 179 of file cairo-wideint.c.

References _cairo_uint32x32_64_mul().

Referenced by _cairo_uint128_mul().

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◆ _cairo_uint64_negate()

cairo_uint64_t _cairo_uint64_negate ( cairo_uint64_t a)

Definition at line 273 of file cairo-wideint.c.

◆ _cairo_uint64_not()

cairo_uint64_t _cairo_uint64_not ( cairo_uint64_t a)

Definition at line 265 of file cairo-wideint.c.

Referenced by _cairo_uint128_negate(), and _cairo_uint128_not().

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◆ _cairo_uint64_rsa()

cairo_int64_t _cairo_uint64_rsa ( cairo_int64_t a,
int shift )

Definition at line 225 of file cairo-wideint.c.

References _cairo_uint32_rsa, cairo_int64_t::hi, and cairo_int64_t::lo.

Referenced by _cairo_uint128_rsa().

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◆ _cairo_uint64_rsl()

cairo_uint64_t _cairo_uint64_rsl ( cairo_uint64_t a,
int shift )

Definition at line 206 of file cairo-wideint.c.

Referenced by _cairo_uint128_lsl(), _cairo_uint128_rsa(), _cairo_uint128_rsl(), and _cairo_uint64_divrem().

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◆ _cairo_uint64_sub()

cairo_uint64_t _cairo_uint64_sub ( cairo_uint64_t a,
cairo_uint64_t b )

Definition at line 123 of file cairo-wideint.c.

Referenced by _cairo_int64x64_128_mul(), _cairo_uint128_sub(), _cairo_uint64_divrem(), and _cairo_uint_96by64_32x64_divrem().

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◆ _cairo_uint64_to_uint128()

cairo_uint128_t _cairo_uint64_to_uint128 ( cairo_uint64_t i)

Definition at line 397 of file cairo-wideint.c.

References _cairo_uint32_to_uint64().

Referenced by ns3::int64x64_t::Umul().

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◆ _cairo_uint64x64_128_mul()

cairo_uint128_t _cairo_uint64x64_128_mul ( cairo_uint64_t a,
cairo_uint64_t b )

Definition at line 489 of file cairo-wideint.c.

References _cairo_uint32x32_64_mul(), _cairo_uint64_add(), _cairo_uint64_lt(), uint64_carry32, uint64_hi(), uint64_hi32, uint64_lo(), uint64_lo32, and uint64_shift32().

Referenced by _cairo_int64x64_128_mul(), _cairo_uint128_mul(), ns3::int64x64_t::Umul(), and ns3::int64x64_t::UmulByInvert().

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◆ _cairo_uint_96by64_32x64_divrem()

cairo_uquorem64_t _cairo_uint_96by64_32x64_divrem ( cairo_uint128_t num,
cairo_uint64_t den )

_cairo_uint_96by64_32x64_divrem:

Compute a 32 bit quotient and 64 bit remainder of a 96 bit unsigned dividend and 64 bit divisor. If the quotient doesn't fit into 32 bits then the returned remainder is equal to the divisor, and the quotient is the largest representable 64 bit integer. It is an error to call this function with the high 32 bits of ‘num’ being non-zero.

Definition at line 714 of file cairo-wideint.c.

References _cairo_uint128_rsl(), _cairo_uint128_to_uint32, _cairo_uint128_to_uint64, _cairo_uint32_to_uint64(), _cairo_uint32s_to_uint64(), _cairo_uint32x32_64_mul(), _cairo_uint64_add(), _cairo_uint64_divrem(), _cairo_uint64_ge, _cairo_uint64_lt(), _cairo_uint64_sub(), _cairo_uint64_to_uint32, cairo_uquorem64_t::quo, cairo_uquorem64_t::rem, and uint64_hi32.

Referenced by _cairo_int_96by64_32x64_divrem().

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◆ cairo_impl128()

const char * cairo_impl128 ( )

Definition at line 371 of file cairo-wideint.c.

Referenced by ns3::int64x64::test::Int64x64ImplTestCase::DoRun().

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◆ cairo_impl64()

const char * cairo_impl64 ( )

Definition at line 75 of file cairo-wideint.c.

Referenced by ns3::int64x64::test::Int64x64ImplTestCase::DoRun().

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◆ uint64_hi()

static cairo_uint64_t uint64_hi ( cairo_uint64_t i)
static

Definition at line 465 of file cairo-wideint.c.

Referenced by _cairo_uint64x64_128_mul().

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◆ uint64_lo()

static cairo_uint64_t uint64_lo ( cairo_uint64_t i)
static

Definition at line 455 of file cairo-wideint.c.

Referenced by _cairo_uint64x64_128_mul().

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◆ uint64_shift32()

static cairo_uint64_t uint64_shift32 ( cairo_uint64_t i)
static

Definition at line 475 of file cairo-wideint.c.

Referenced by _cairo_uint64x64_128_mul().

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Variable Documentation

◆ uint64_carry32

const cairo_uint64_t uint64_carry32 = { 0, 1 }
static

Definition at line 484 of file cairo-wideint.c.

Referenced by _cairo_uint64x64_128_mul().