flint-sys 0.9.0

Bindings to the FLINT C library
Documentation 
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/*
    Copyright (C) 2022, 2024 Fredrik Johansson

    This file is part of FLINT.

    FLINT is free software: you grn redistribute it and/or modify it under
    the terms of the GNU Lesser General Public License (LGPL) as published
    by the Free Software Foundation; either version 3 of the License, or
    (at your option) any later version.  See <https://www.gnu.org/licenses/>.
*/

#include "gr.h"
#include "gr_vec.h"
#include "gr_poly.h"

PUSH_OPTIONS
OPTIMIZE_OSIZE

void _gr_poly_test_approx_mulmid_pos_entrywise_accurate(gr_method_poly_binary_trunc2_op mulmid_impl,
    gr_method_poly_binary_trunc2_op mulmid_ref,
    gr_srcptr rel_tol,
    flint_rand_t state, slong iters, slong maxn, gr_ctx_t ctx)
{
    slong iter;
    gr_ctx_ptr given_ctx = ctx;

    if (mulmid_ref == NULL)
        mulmid_ref = (gr_method_poly_binary_trunc2_op) _gr_poly_mulmid_classical;

    for (iter = 0; iter < iters; iter++)
    {
        gr_ptr A, B, C, D, ERR, TOL;
        slong n1, n2, nhi, nlo;
        int status = GR_SUCCESS;
        gr_ctx_t my_ctx;
        gr_ctx_struct * ctx;
        int squaring;
        slong i;

        if (given_ctx == NULL)
        {
            gr_ctx_init_random(my_ctx, state);
            ctx = my_ctx;
        }
        else
            ctx = given_ctx;

        squaring = n_randint(state, 2);

        n1 = 1 + n_randint(state, 1 + maxn);
        n2 = squaring ? n1 : 1 + n_randint(state, 1 + maxn);
        nhi = 1 + n_randint(state, 1 + maxn);
        nhi = FLINT_MIN(nhi, n1 + n2 - 1);
        nlo = n_randint(state, nhi);

        A = gr_heap_init_vec(n1, ctx);
        B = squaring ? A : gr_heap_init_vec(n2, ctx);
        C = gr_heap_init_vec(nhi - nlo, ctx);
        D = gr_heap_init_vec(nhi - nlo, ctx);
        ERR = gr_heap_init_vec(nhi - nlo, ctx);
        TOL = gr_heap_init_vec(nhi - nlo, ctx);

        GR_MUST_SUCCEED(_gr_vec_randtest(A, state, n1, ctx));
        if (!squaring)
            GR_MUST_SUCCEED(_gr_vec_randtest(B, state, n2, ctx));
        GR_MUST_SUCCEED(_gr_vec_randtest(C, state, nhi - nlo, ctx));

        for (i = 0; i < n1; i++)
            GR_MUST_SUCCEED(gr_abs(GR_ENTRY(A, i, ctx->sizeof_elem), GR_ENTRY(A, i, ctx->sizeof_elem), ctx));
        for (i = 0; i < n2; i++)
            GR_MUST_SUCCEED(gr_abs(GR_ENTRY(B, i, ctx->sizeof_elem), GR_ENTRY(B, i, ctx->sizeof_elem), ctx));

        status |= mulmid_impl(C, A, n1, B, n2, nlo, nhi, ctx);

        if (status == GR_SUCCESS)
            status |= mulmid_ref(D, A, n1, B, n2, nlo, nhi, ctx);

        /* |C-D| <= |D| tol */
        status |= _gr_vec_sub(ERR, C, D, nhi - nlo, ctx);
        for (i = 0; i < nhi - nlo; i++)
            GR_MUST_SUCCEED(gr_abs(GR_ENTRY(ERR, i, ctx->sizeof_elem), GR_ENTRY(ERR, i, ctx->sizeof_elem), ctx));
        for (i = 0; i < nhi - nlo; i++)
            GR_MUST_SUCCEED(gr_abs(GR_ENTRY(TOL, i, ctx->sizeof_elem), GR_ENTRY(D, i, ctx->sizeof_elem), ctx));
        status |= _gr_vec_mul_scalar(TOL, TOL, nhi - nlo, rel_tol, ctx);

        truth_t ok = T_TRUE;
        for (i = 0; i < nhi - nlo; i++)
            ok = truth_and(ok, gr_le(GR_ENTRY(ERR, i, ctx->sizeof_elem), GR_ENTRY(TOL, i, ctx->sizeof_elem), ctx));

        if (status == GR_SUCCESS && ok == T_FALSE)
        {
            flint_printf("FAIL: mulmid\n");
            gr_ctx_println(ctx);
            flint_printf("len1 = %wd, len2 = %wd, nlo = %wd, ni = %wd, squaring = %d\n\n", n1, n2, nlo, nhi, squaring);
            flint_printf("A:\n"); _gr_vec_print(A, n1, ctx); flint_printf("\n\n");
            flint_printf("B:\n"); _gr_vec_print(B, n2, ctx); flint_printf("\n\n");
            flint_printf("C:\n"); _gr_vec_print(C, nhi - nlo, ctx); flint_printf("\n\n");
            flint_printf("D:\n"); _gr_vec_print(D, nhi - nlo, ctx); flint_printf("\n\n");
            flint_abort();
        }

        gr_heap_clear_vec(A, n1, ctx);
        if (!squaring)
            gr_heap_clear_vec(B, n2, ctx);
        gr_heap_clear_vec(C, nhi - nlo, ctx);
        gr_heap_clear_vec(D, nhi - nlo, ctx);
        gr_heap_clear_vec(ERR, nhi - nlo, ctx);
        gr_heap_clear_vec(TOL, nhi - nlo, ctx);

        if (given_ctx == NULL)
            gr_ctx_clear(ctx);
    }
}

POP_OPTIONS