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

#include "cairo-wideint-private.h"

Macros
#define	_cairo_msbset64(q) (q & ((uint64_t) 1 << 63))

#define	_cairo_uint32s_to_uint64(h, l) ((uint64_t) (h) << 32 \| (l))

#define	uint64_carry32 (((uint64_t) 1) << 32)

#define	uint64_hi(i) ((i) >> 32)

#define	uint64_hi32(i) ((i) >> 32)

#define	uint64_lo(i) ((i) & 0xffffffff)

#define	uint64_lo32(i) ((i) & 0xffffffff)

#define	uint64_shift32(i) ((i) << 32)

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_quorem64_t	_cairo_int64_divrem (cairo_int64_t num, cairo_int64_t den)

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_int128_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_uquorem64_t	_cairo_uint64_divrem (cairo_uint64_t num, cairo_uint64_t den)

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: More...

Variables
const char *	cairo_impl128 = "cairo_uint64_t"

const char *	cairo_impl64 = "uint64_t"

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 & ((uint64_t) 1 << 63))

Definition at line 592 of file cairo-wideint.c.

Referenced by _cairo_uint128_divrem().

◆ _cairo_uint32s_to_uint64

#define _cairo_uint32s_to_uint64	(	h,
		l
	)	((uint64_t) (h) << 32 \| (l))

Definition at line 46 of file cairo-wideint.c.

Referenced by _cairo_int_96by64_32x64_divrem(), and _cairo_uint_96by64_32x64_divrem().

◆ uint64_carry32

#define uint64_carry32 (((uint64_t) 1) << 32)

Definition at line 415 of file cairo-wideint.c.

Referenced by _cairo_uint64x64_128_mul().

◆ uint64_hi

#define uint64_hi ( i ) ((i) >> 32)

Definition at line 413 of file cairo-wideint.c.

Referenced by _cairo_uint64x64_128_mul().

◆ uint64_hi32

#define uint64_hi32 ( i ) ((i) >> 32)

Definition at line 411 of file cairo-wideint.c.

Referenced by _cairo_uint64x64_128_mul(), and _cairo_uint_96by64_32x64_divrem().

◆ uint64_lo

#define uint64_lo ( i ) ((i) & 0xffffffff)

Definition at line 412 of file cairo-wideint.c.

Referenced by _cairo_uint64x64_128_mul().

◆ uint64_lo32

#define uint64_lo32 ( i ) ((i) & 0xffffffff)

Definition at line 410 of file cairo-wideint.c.

Referenced by _cairo_uint64x64_128_mul().

◆ uint64_shift32

#define uint64_shift32 ( i ) ((i) << 32)

Definition at line 414 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 649 of file cairo-wideint.c.

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

◆ _cairo_int128_lt()

int _cairo_int128_lt	(	cairo_int128_t	a,
		cairo_int128_t	b
	)

Definition at line 575 of file cairo-wideint.c.

References _cairo_int128_negative, and _cairo_uint128_lt().

◆ _cairo_int32_to_int128()

cairo_int128_t _cairo_int32_to_int128 ( int32_t i )

Definition at line 355 of file cairo-wideint.c.

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

◆ _cairo_int64_divrem()

cairo_quorem64_t _cairo_int64_divrem	(	cairo_int64_t	num,
		cairo_int64_t	den
	)

Definition at line 303 of file cairo-wideint.c.

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

◆ _cairo_int64_to_int128()

cairo_int128_t _cairo_int64_to_int128 ( cairo_int64_t i )

Definition at line 375 of file cairo-wideint.c.

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

◆ _cairo_int64x64_128_mul()

cairo_int128_t _cairo_int64x64_128_mul	(	cairo_int64_t	a,
		cairo_int64_t	b
	)

Definition at line 485 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.

◆ _cairo_int_96by64_32x64_divrem()

cairo_quorem64_t _cairo_int_96by64_32x64_divrem	(	cairo_int128_t	num,
		cairo_int64_t	den
	)

Definition at line 792 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_uquorem64_t::quo, cairo_quorem64_t::quo, cairo_uquorem64_t::rem, and cairo_quorem64_t::rem.

◆ _cairo_uint128_add()

cairo_uint128_t _cairo_uint128_add	(	cairo_uint128_t	a,
		cairo_uint128_t	b
	)

Definition at line 385 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::Udiv(), ns3::int64x64_t::Umul(), and ns3::int64x64_t::UmulByInvert().

◆ _cairo_uint128_divrem()

cairo_uquorem128_t _cairo_uint128_divrem	(	cairo_uint128_t	num,
		cairo_uint128_t	den
	)

Definition at line 598 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().

◆ _cairo_uint128_eq()

int _cairo_uint128_eq	(	cairo_uint128_t	a,
		cairo_uint128_t	b
	)

Definition at line 585 of file cairo-wideint.c.

References _cairo_uint64_eq.

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

◆ _cairo_uint128_lsl()

cairo_uint128_t _cairo_uint128_lsl	(	cairo_uint128_t	a,
		int	shift
	)

Definition at line 513 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().

◆ _cairo_uint128_lt()

int _cairo_uint128_lt	(	cairo_uint128_t	a,
		cairo_uint128_t	b
	)

Definition at line 567 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().

◆ _cairo_uint128_mul()

cairo_uint128_t _cairo_uint128_mul	(	cairo_uint128_t	a,
		cairo_uint128_t	b
	)

Definition at line 500 of file cairo-wideint.c.

References _cairo_uint64_add, _cairo_uint64_mul, and _cairo_uint64x64_128_mul().

◆ _cairo_uint128_negate()

cairo_uint128_t _cairo_uint128_negate ( cairo_uint128_t a )

Definition at line 631 of file cairo-wideint.c.

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

Referenced by ns3::output_sign().

◆ _cairo_uint128_not()

cairo_uint128_t _cairo_uint128_not ( cairo_uint128_t a )

Definition at line 639 of file cairo-wideint.c.

References _cairo_uint64_not.

◆ _cairo_uint128_rsa()

cairo_uint128_t _cairo_uint128_rsa	(	cairo_int128_t	a,
		int	shift
	)

Definition at line 549 of file cairo-wideint.c.

References _cairo_uint64_add, _cairo_uint64_lsl, _cairo_uint64_rsa, _cairo_uint64_rsl, cairo_int128_t::hi, and cairo_int128_t::lo.

◆ _cairo_uint128_rsl()

cairo_uint128_t _cairo_uint128_rsl	(	cairo_uint128_t	a,
		int	shift
	)

Definition at line 531 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().

◆ _cairo_uint128_sub()

cairo_uint128_t _cairo_uint128_sub	(	cairo_uint128_t	a,
		cairo_uint128_t	b
	)

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

References _cairo_uint32_to_uint64, _cairo_uint64_gt, and _cairo_uint64_sub.

Referenced by _cairo_uint128_divrem().

◆ _cairo_uint32_to_uint128()

cairo_uint128_t _cairo_uint32_to_uint128 ( uint32_t i )

Definition at line 345 of file cairo-wideint.c.

References _cairo_uint32_to_uint64.

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

◆ _cairo_uint64_divrem()

cairo_uquorem64_t _cairo_uint64_divrem	(	cairo_uint64_t	num,
		cairo_uint64_t	den
	)

Definition at line 49 of file cairo-wideint.c.

References cairo_uquorem64_t::quo, and cairo_uquorem64_t::rem.

Referenced by _cairo_int64_divrem(), and _cairo_uint_96by64_32x64_divrem().

◆ _cairo_uint64_to_uint128()

cairo_uint128_t _cairo_uint64_to_uint128 ( cairo_uint64_t i )

Definition at line 365 of file cairo-wideint.c.

References _cairo_uint32_to_uint64.

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

◆ _cairo_uint64x64_128_mul()

cairo_uint128_t _cairo_uint64x64_128_mul	(	cairo_uint64_t	a,
		cairo_uint64_t	b
	)

Definition at line 457 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().

◆ _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 682 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, uint64_hi32, and sample-rng-plot::x.

Referenced by _cairo_int_96by64_32x64_divrem().

Variable Documentation

◆ cairo_impl128

const char* cairo_impl128 = "cairo_uint64_t"

Definition at line 342 of file cairo-wideint.c.

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

◆ cairo_impl64

const char* cairo_impl64 = "uint64_t"

Definition at line 44 of file cairo-wideint.c.

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

Macros

Functions

Variables

Detailed Description

Macro Definition Documentation

◆ _cairo_msbset64

◆ _cairo_uint32s_to_uint64

◆ uint64_carry32

◆ uint64_hi

◆ uint64_hi32

◆ uint64_lo

◆ uint64_lo32

◆ uint64_shift32

Function Documentation

◆ _cairo_int128_divrem()

◆ _cairo_int128_lt()

◆ _cairo_int32_to_int128()

◆ _cairo_int64_divrem()

◆ _cairo_int64_to_int128()

◆ _cairo_int64x64_128_mul()

◆ _cairo_int_96by64_32x64_divrem()

◆ _cairo_uint128_add()

◆ _cairo_uint128_divrem()

◆ _cairo_uint128_eq()

◆ _cairo_uint128_lsl()

◆ _cairo_uint128_lt()

◆ _cairo_uint128_mul()

◆ _cairo_uint128_negate()

◆ _cairo_uint128_not()

◆ _cairo_uint128_rsa()

◆ _cairo_uint128_rsl()

◆ _cairo_uint128_sub()

◆ _cairo_uint32_to_uint128()

◆ _cairo_uint64_divrem()

◆ _cairo_uint64_to_uint128()

◆ _cairo_uint64x64_128_mul()

◆ _cairo_uint_96by64_32x64_divrem()

Variable Documentation

◆ cairo_impl128

◆ cairo_impl64