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pqcrypto/crypto_sign/dilithium-iii/clean/rounding.c
2019-02-27 09:18:38 +01:00

120 lines
3.3 KiB
C

#include "params.h"
#include <stdint.h>
/*************************************************
* Name: power2round
*
* Description: For finite field element a, compute a0, a1 such that
* a mod Q = a1*2^D + a0 with -2^{D-1} < a0 <= 2^{D-1}.
* Assumes a to be standard representative.
*
* Arguments: - uint32_t a: input element
* - uint32_t *a0: pointer to output element Q + a0
*
* Returns a1.
**************************************************/
uint32_t PQCLEAN_DILITHIUMIII_CLEAN_power2round(uint32_t a, uint32_t *a0) {
int32_t t;
/* Centralized remainder mod 2^D */
t = a & ((1 << D) - 1);
t -= (1 << (D - 1)) + 1;
t += (t >> 31) & (1 << D);
t -= (1 << (D - 1)) - 1;
*a0 = Q + t;
a = (a - t) >> D;
return a;
}
/*************************************************
* Name: decompose
*
* Description: For finite field element a, compute high and low bits a0, a1
*such that a mod Q = a1*ALPHA + a0 with -ALPHA/2 < a0 <= ALPHA/2 except if a1 =
*(Q-1)/ALPHA where we set a1 = 0 and -ALPHA/2 <= a0 = a mod Q - Q < 0. Assumes
*a to be standard representative.
*
* Arguments: - uint32_t a: input element
* - uint32_t *a0: pointer to output element Q + a0
*
* Returns a1.
**************************************************/
uint32_t PQCLEAN_DILITHIUMIII_CLEAN_decompose(uint32_t a, uint32_t *a0) {
#if ALPHA != (Q - 1) / 16
#error "decompose assumes ALPHA == (Q-1)/16"
#endif
int32_t t, u;
/* Centralized remainder mod ALPHA */
t = a & 0x7FFFF;
t += (a >> 19) << 9;
t -= ALPHA / 2 + 1;
t += (t >> 31) & ALPHA;
t -= ALPHA / 2 - 1;
a -= t;
/* Divide by ALPHA (possible to avoid) */
u = a - 1;
u >>= 31;
a = (a >> 19) + 1;
a -= u & 1;
/* Border case */
*a0 = Q + t - (a >> 4);
a &= 0xF;
return a;
}
/*************************************************
* Name: make_hint
*
* Description: Compute hint bit indicating whether or not high bits of two
* finite field elements differ. Assumes input elements to be
* standard representatives.
*
* Arguments: - uint32_t a: first input element
* - uint32_t b: second input element
*
* Returns 1 if high bits of a and b differ and 0 otherwise.
**************************************************/
unsigned int PQCLEAN_DILITHIUMIII_CLEAN_make_hint(const uint32_t a,
const uint32_t b) {
uint32_t t;
return PQCLEAN_DILITHIUMIII_CLEAN_decompose(a, &t) !=
PQCLEAN_DILITHIUMIII_CLEAN_decompose(b, &t);
}
/*************************************************
* Name: use_hint
*
* Description: Correct high bits according to hint.
*
* Arguments: - uint32_t a: input element
* - unsigned int hint: hint bit
*
* Returns corrected high bits.
**************************************************/
uint32_t PQCLEAN_DILITHIUMIII_CLEAN_use_hint(const uint32_t a,
const unsigned int hint) {
uint32_t a0, a1;
a1 = PQCLEAN_DILITHIUMIII_CLEAN_decompose(a, &a0);
if (hint == 0) {
return a1;
}
if (a0 > Q) {
return (a1 + 1) & 0xF;
}
return (a1 - 1) & 0xF;
/* If decompose does not divide out ALPHA:
if(hint == 0)
return a1;
else if(a0 > Q)
return (a1 + ALPHA) % (Q - 1);
else
return (a1 - ALPHA) % (Q - 1);
*/
}