f_field.h File Reference

Field-specific code for 2^448 - 2^224 - 1. More...

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Classes
struct	gf_448_s

Macros
#define	__DECAF_448_GF_DEFINED__   1
#define	NLIMBS   (64/sizeof(word_t))
#define	SER_BYTES   56
#define	GF_LIT_LIMB_BITS   56
#define	GF_BITS   448
#define	ZERO   gf_448_ZERO
#define	ONE   gf_448_ONE
#define	MODULUS   gf_448_MODULUS
#define	gf   gf_448_t
#define	gf_s   gf_448_s
#define	gf_eq   gf_448_eq
#define	gf_lobit   gf_448_lobit
#define	gf_copy   gf_448_copy
#define	gf_add   gf_448_add
#define	gf_sub   gf_448_sub
#define	gf_add_RAW   gf_448_add_RAW
#define	gf_sub_RAW   gf_448_sub_RAW
#define	gf_bias   gf_448_bias
#define	gf_weak_reduce   gf_448_weak_reduce
#define	gf_strong_reduce   gf_448_strong_reduce
#define	gf_mul   gf_448_mul
#define	gf_sqr   gf_448_sqr
#define	gf_mulw_unsigned   gf_448_mulw_unsigned
#define	gf_isr   gf_448_isr
#define	gf_serialize   gf_448_serialize
#define	gf_deserialize   gf_448_deserialize
#define	X_PUBLIC_BYTES   SER_BYTES
#define	X_PRIVATE_BYTES   X_PUBLIC_BYTES
#define	X_PRIVATE_BITS   448
#define	SQRT_MINUS_ONE   P448_SQRT_MINUS_ONE /* might not be defined */
#define	INLINE_UNUSED   __inline__ __attribute__((unused,always_inline))
#define	P_MOD_8   7
#define	LIMBPERM(i)
#define	LIMB_MASK(i)

Typedefs
typedef struct gf_448_s	gf_448_s
typedef struct gf_448_s	gf_448_t[1]

Functions
void	gf_strong_reduce (gf inout)
	Reduce to canonical form.
void	gf_add (gf out, const gf a, const gf b)
	Add two field elements d = a+b.
void	gf_sub (gf out, const gf a, const gf b)
	Subtract two gf elements d=a-b.
void	gf_mul (gf_s *__restrict__ out, const gf a, const gf b)
void	gf_mulw_unsigned (gf_s *__restrict__ out, const gf a, uint32_t b)
void	gf_sqr (gf_s *__restrict__ out, const gf a)
mask_t	gf_isr (gf a, const gf x)
mask_t	gf_eq (const gf x, const gf y)
	a^2 x = 1, QNR, or 0 if x=0.
mask_t	gf_lobit (const gf x)
	Return high bit of x = low bit of 2x mod p.
void	gf_serialize (uint8_t serial[SER_BYTES], const gf x)
	Serialize to wire format.
mask_t	gf_deserialize (gf x, const uint8_t serial[SER_BYTES], uint8_t hi_nmask)
	Deserialize from wire format; return -1 on success and 0 on failure.

Detailed Description

Field-specific code for 2^448 - 2^224 - 1.

Author

Mike Hamburg

Copyright

Copyright (c) 2015-2016 Cryptography Research, Inc.
Released under the MIT License. See LICENSE.txt for license information.

Warning

This file was automatically generated in Python. Please do not edit it.

Macro Definition Documentation

LIMB_MASK

#define LIMB_MASK

(

i

)

Value:

(((1ull)<<LIMB_PLACE_VALUE(i))-1)

LIMBPERM

#define LIMBPERM

(

i

)

Value:

(i)

Function Documentation

gf_eq()

mask_t gf_eq	(	const gf	a,
		const gf	b )

a^2 x = 1, QNR, or 0 if x=0.

Return true if successful

a^2 x = 1, QNR, or 0 if x=0.