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/*
Copyright (C) 2018 Fredrik Johansson
This file is part of Arb.
Arb is free software: you can 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 2.1 of the License, or
(at your option) any later version. See <http://www.gnu.org/licenses/>.
*/
#include "arb_mat.h"
void
arb_mat_pascal(arb_mat_t mat, int triangular, slong prec)
{
slong R, C, i, j;
R = arb_mat_nrows(mat);
C = arb_mat_ncols(mat);
if (R == 0 || C == 0)
return;
if (triangular == 1)
{
for (i = 1; i < R; i++)
for (j = 0; j < i && j < C; j++)
arb_zero(arb_mat_entry(mat, i, j));
for (j = 0; j < C; j++)
arb_one(arb_mat_entry(mat, 0, j));
for (i = 1; i < R && i < C; i++)
arb_one(arb_mat_entry(mat, i, i));
for (i = 1; i < R; i++)
for (j = i + 1; j < C; j++)
arb_add(arb_mat_entry(mat, i, j),
arb_mat_entry(mat, i, j - 1),
arb_mat_entry(mat, i - 1, j - 1), prec);
}
else if (triangular == -1)
{
for (i = 0; i < R; i++)
for (j = i + 1; j < C; j++)
arb_zero(arb_mat_entry(mat, i, j));
for (i = 0; i < R; i++)
arb_one(arb_mat_entry(mat, i, 0));
for (i = 1; i < R && i < C; i++)
arb_one(arb_mat_entry(mat, i, i));
for (i = 2; i < R; i++)
for (j = 1; j < i && j < C; j++)
arb_add(arb_mat_entry(mat, i, j),
arb_mat_entry(mat, i - 1, j - 1),
arb_mat_entry(mat, i - 1, j), prec);
}
else
{
for (j = 0; j < C; j++)
arb_one(arb_mat_entry(mat, 0, j));
for (i = 1; i < R; i++)
arb_one(arb_mat_entry(mat, i, 0));
for (i = 1; i < R; i++)
for (j = 1; j < C; j++)
arb_add(arb_mat_entry(mat, i, j),
arb_mat_entry(mat, i, j - 1),
arb_mat_entry(mat, i - 1, j), prec);
}
}
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