339 lines
12 KiB
C
339 lines
12 KiB
C
#include "polyvec.h"
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#include "params.h"
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#include "poly.h"
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#include <stdint.h>
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/**************************************************************/
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/************ Vectors of polynomials of length L **************/
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/**************************************************************/
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/*************************************************
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* Name: polyvecl_freeze
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*
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* Description: Reduce coefficients of polynomials in vector of length L
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* to standard representatives.
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*
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* Arguments: - polyvecl *v: pointer to input/output vector
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**************************************************/
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void polyvecl_freeze(polyvecl *v) {
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unsigned int i;
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for (i = 0; i < L; ++i)
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poly_freeze(v->vec + i);
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}
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/*************************************************
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* Name: polyvecl_add
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*
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* Description: Add vectors of polynomials of length L.
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* No modular reduction is performed.
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*
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* Arguments: - polyvecl *w: pointer to output vector
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* - const polyvecl *u: pointer to first summand
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* - const polyvecl *v: pointer to second summand
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**************************************************/
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void polyvecl_add(polyvecl *w, const polyvecl *u, const polyvecl *v) {
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unsigned int i;
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for (i = 0; i < L; ++i)
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poly_add(w->vec + i, u->vec + i, v->vec + i);
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}
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/*************************************************
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* Name: polyvecl_ntt
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*
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* Description: Forward NTT of all polynomials in vector of length L. Output
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* coefficients can be up to 16*Q larger than input coefficients.
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*
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* Arguments: - polyvecl *v: pointer to input/output vector
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**************************************************/
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void polyvecl_ntt(polyvecl *v) {
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unsigned int i;
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for (i = 0; i < L; ++i)
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poly_ntt(v->vec + i);
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}
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/*************************************************
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* Name: polyvecl_pointwise_acc_invmontgomery
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*
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* Description: Pointwise multiply vectors of polynomials of length L, multiply
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* resulting vector by 2^{-32} and add (accumulate) polynomials
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* in it. Input/output vectors are in NTT domain representation.
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* Input coefficients are assumed to be less than 22*Q. Output
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* coeffcient are less than 2*L*Q.
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*
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* Arguments: - poly *w: output polynomial
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* - const polyvecl *u: pointer to first input vector
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* - const polyvecl *v: pointer to second input vector
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**************************************************/
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void polyvecl_pointwise_acc_invmontgomery(poly *w, const polyvecl *u,
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const polyvecl *v) {
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unsigned int i;
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poly t;
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poly_pointwise_invmontgomery(w, u->vec + 0, v->vec + 0);
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for (i = 1; i < L; ++i) {
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poly_pointwise_invmontgomery(&t, u->vec + i, v->vec + i);
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poly_add(w, w, &t);
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}
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}
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/*************************************************
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* Name: polyvecl_chknorm
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*
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* Description: Check infinity norm of polynomials in vector of length L.
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* Assumes input coefficients to be standard representatives.
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*
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* Arguments: - const polyvecl *v: pointer to vector
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* - uint32_t B: norm bound
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*
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* Returns 0 if norm of all polynomials is strictly smaller than B and 1
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* otherwise.
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**************************************************/
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int polyvecl_chknorm(const polyvecl *v, uint32_t bound) {
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unsigned int i;
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int ret = 0;
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for (i = 0; i < L; ++i)
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ret |= poly_chknorm(v->vec + i, bound);
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return ret;
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}
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/**************************************************************/
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/************ Vectors of polynomials of length K **************/
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/**************************************************************/
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/*************************************************
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* Name: polyveck_reduce
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*
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* Description: Reduce coefficients of polynomials in vector of length K
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* to representatives in [0,2*Q[.
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*
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* Arguments: - polyveck *v: pointer to input/output vector
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**************************************************/
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void polyveck_reduce(polyveck *v) {
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unsigned int i;
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for (i = 0; i < K; ++i)
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poly_reduce(v->vec + i);
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}
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/*************************************************
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* Name: polyveck_csubq
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*
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* Description: For all coefficients of polynomials in vector of length K
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* subtract Q if coefficient is bigger than Q.
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*
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* Arguments: - polyveck *v: pointer to input/output vector
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**************************************************/
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void polyveck_csubq(polyveck *v) {
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unsigned int i;
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for (i = 0; i < K; ++i)
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poly_csubq(v->vec + i);
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}
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/*************************************************
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* Name: polyveck_freeze
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*
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* Description: Reduce coefficients of polynomials in vector of length K
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* to standard representatives.
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*
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* Arguments: - polyveck *v: pointer to input/output vector
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**************************************************/
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void polyveck_freeze(polyveck *v) {
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unsigned int i;
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for (i = 0; i < K; ++i)
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poly_freeze(v->vec + i);
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}
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/*************************************************
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* Name: polyveck_add
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*
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* Description: Add vectors of polynomials of length K.
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* No modular reduction is performed.
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*
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* Arguments: - polyveck *w: pointer to output vector
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* - const polyveck *u: pointer to first summand
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* - const polyveck *v: pointer to second summand
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**************************************************/
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void polyveck_add(polyveck *w, const polyveck *u, const polyveck *v) {
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unsigned int i;
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for (i = 0; i < K; ++i)
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poly_add(w->vec + i, u->vec + i, v->vec + i);
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}
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/*************************************************
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* Name: polyveck_sub
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*
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* Description: Subtract vectors of polynomials of length K.
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* Assumes coefficients of polynomials in second input vector
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* to be less than 2*Q. No modular reduction is performed.
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*
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* Arguments: - polyveck *w: pointer to output vector
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* - const polyveck *u: pointer to first input vector
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* - const polyveck *v: pointer to second input vector to be
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* subtracted from first input vector
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**************************************************/
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void polyveck_sub(polyveck *w, const polyveck *u, const polyveck *v) {
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unsigned int i;
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for (i = 0; i < K; ++i)
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poly_sub(w->vec + i, u->vec + i, v->vec + i);
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}
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/*************************************************
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* Name: polyveck_shiftl
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*
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* Description: Multiply vector of polynomials of Length K by 2^k without
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*modular reduction. Assumes input coefficients to be less than 2^{32-k}.
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*
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* Arguments: - polyveck *v: pointer to input/output vector
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* - unsigned int k: exponent
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**************************************************/
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void polyveck_shiftl(polyveck *v, unsigned int k) {
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unsigned int i;
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for (i = 0; i < K; ++i)
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poly_shiftl(v->vec + i, k);
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}
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/*************************************************
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* Name: polyveck_ntt
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*
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* Description: Forward NTT of all polynomials in vector of length K. Output
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* coefficients can be up to 16*Q larger than input coefficients.
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*
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* Arguments: - polyveck *v: pointer to input/output vector
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**************************************************/
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void polyveck_ntt(polyveck *v) {
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unsigned int i;
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for (i = 0; i < K; ++i)
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poly_ntt(v->vec + i);
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}
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/*************************************************
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* Name: polyveck_invntt_montgomery
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*
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* Description: Inverse NTT and multiplication by 2^{32} of polynomials
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* in vector of length K. Input coefficients need to be less
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* than 2*Q.
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*
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* Arguments: - polyveck *v: pointer to input/output vector
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**************************************************/
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void polyveck_invntt_montgomery(polyveck *v) {
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unsigned int i;
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for (i = 0; i < K; ++i)
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poly_invntt_montgomery(v->vec + i);
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}
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/*************************************************
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* Name: polyveck_chknorm
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*
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* Description: Check infinity norm of polynomials in vector of length K.
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* Assumes input coefficients to be standard representatives.
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*
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* Arguments: - const polyveck *v: pointer to vector
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* - uint32_t B: norm bound
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*
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* Returns 0 if norm of all polynomials are strictly smaller than B and 1
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* otherwise.
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**************************************************/
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int polyveck_chknorm(const polyveck *v, uint32_t bound) {
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unsigned int i;
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int ret = 0;
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for (i = 0; i < K; ++i)
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ret |= poly_chknorm(v->vec + i, bound);
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return ret;
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}
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/*************************************************
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* Name: polyveck_power2round
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*
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* Description: For all coefficients a of polynomials in vector of length K,
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* compute a0, a1 such that a mod Q = a1*2^D + a0
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* with -2^{D-1} < a0 <= 2^{D-1}. Assumes coefficients to be
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* standard representatives.
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*
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* Arguments: - polyveck *v1: pointer to output vector of polynomials with
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* coefficients a1
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* - polyveck *v0: pointer to output vector of polynomials with
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* coefficients Q + a0
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* - const polyveck *v: pointer to input vector
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**************************************************/
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void polyveck_power2round(polyveck *v1, polyveck *v0, const polyveck *v) {
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unsigned int i;
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for (i = 0; i < K; ++i)
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poly_power2round(v1->vec + i, v0->vec + i, v->vec + i);
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}
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/*************************************************
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* Name: polyveck_decompose
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*
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* Description: For all coefficients a of polynomials in vector of length K,
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* compute high and low bits a0, a1 such a mod Q = a1*ALPHA + a0
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* with -ALPHA/2 < a0 <= ALPHA/2 except a1 = (Q-1)/ALPHA where we
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* set a1 = 0 and -ALPHA/2 <= a0 = a mod Q - Q < 0.
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* Assumes coefficients to be standard representatives.
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*
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* Arguments: - polyveck *v1: pointer to output vector of polynomials with
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* coefficients a1
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* - polyveck *v0: pointer to output vector of polynomials with
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* coefficients Q + a0
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* - const polyveck *v: pointer to input vector
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**************************************************/
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void polyveck_decompose(polyveck *v1, polyveck *v0, const polyveck *v) {
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unsigned int i;
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for (i = 0; i < K; ++i)
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poly_decompose(v1->vec + i, v0->vec + i, v->vec + i);
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}
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/*************************************************
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* Name: polyveck_make_hint
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*
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* Description: Compute hint vector.
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*
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* Arguments: - polyveck *h: pointer to output vector
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* - const polyveck *u: pointer to first input vector
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* - const polyveck *u: pointer to second input vector
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*
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* Returns number of 1 bits.
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**************************************************/
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unsigned int polyveck_make_hint(polyveck *h, const polyveck *u,
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const polyveck *v) {
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unsigned int i, s = 0;
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for (i = 0; i < K; ++i)
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s += poly_make_hint(h->vec + i, u->vec + i, v->vec + i);
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return s;
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}
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/*************************************************
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* Name: polyveck_use_hint
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*
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* Description: Use hint vector to correct the high bits of input vector.
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*
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* Arguments: - polyveck *w: pointer to output vector of polynomials with
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* corrected high bits
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* - const polyveck *u: pointer to input vector
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* - const polyveck *h: pointer to input hint vector
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**************************************************/
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void polyveck_use_hint(polyveck *w, const polyveck *u, const polyveck *h) {
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unsigned int i;
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for (i = 0; i < K; ++i)
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poly_use_hint(w->vec + i, u->vec + i, h->vec + i);
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}
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