modular.c.h

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 /*
 ***********************************************************************
 Copyright (c) 2015 Advanced Micro Devices, Inc. 
 All rights reserved.
 
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 modification, are permitted provided that the following conditions 
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 1. Redistributions of source code must retain the above copyright 
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 2. Redistributions in binary form must reproduce the above copyright 
 notice, this list of conditions and the following disclaimer in the 
 documentation and/or other materials provided with the distribution.
 
 THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS 
 "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT 
 LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR 
 A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT 
 HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, 
 SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT 
 LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, 
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 THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT 
 (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE 
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 */

#pragma once
#ifndef PRIVATE_MODULAR_CH

#ifndef MODULAR_NUMBER_TYPE
#error "MODULAR_NUMBER_TYPE must be defined"
#endif

#ifdef MODULAR_FIXED_SIZE
#  define N MODULAR_FIXED_SIZE
#  define MATRIX_ELEM(mat, i, j) (mat[i][j])
#else
#  define MATRIX_ELEM(mat, i, j) (mat[i * N + j])
#endif // MODULAR_FIXED_SIZE

#if 1
#define modMult(a, s, c, m) ((MODULAR_NUMBER_TYPE)(((cl_ulong) a * s + c) % m))
#else
static MODULAR_NUMBER_TYPE modMult(MODULAR_NUMBER_TYPE a, MODULAR_NUMBER_TYPE s, MODULAR_NUMBER_TYPE c, MODULAR_NUMBER_TYPE m)
{
    MODULAR_NUMBER_TYPE v;
    v = (MODULAR_NUMBER_TYPE) (((cl_ulong) a * s + c) % m);
    return v;
}
#endif


//  @details Also works if v = s.
//  @return v = A*s % m
#ifdef MODULAR_FIXED_SIZE
static void modMatVec (MODULAR_NUMBER_TYPE A[N][N], MODULAR_NUMBER_TYPE s[N], MODULAR_NUMBER_TYPE v[N], MODULAR_NUMBER_TYPE m)
#else
void modMatVec (size_t N, MODULAR_NUMBER_TYPE* A, MODULAR_NUMBER_TYPE* s, MODULAR_NUMBER_TYPE* v, MODULAR_NUMBER_TYPE m)
#endif
{
    MODULAR_NUMBER_TYPE x[MODULAR_FIXED_SIZE];     // Necessary if v = s
    for (size_t i = 0; i < N; ++i) {
        x[i] = 0;
        for (size_t j = 0; j < N; j++)
            x[i] = modMult(MATRIX_ELEM(A,i,j), s[j], x[i], m);
    }
    for (size_t i = 0; i < N; ++i)
        v[i] = x[i];
}

#undef MATRIX_ELEM
#undef N

#endif