examples

Examples

iex> Caustic.Field.add({7, 13}, {12, 13})
{6, 13}

examples

Examples

iex> Caustic.Field.div({2, 5}, {4, 5})
{3, 5}
iex> Caustic.Field.div({1, 5}, {2, 5})
{3, 5}

examples

Examples

iex> Caustic.Field.eq?({7, 13}, {7, 13})
true
iex> Caustic.Field.eq?({7, 13}, {6, 13})
false
iex> Caustic.Field.eq?({7, 13}, {7, 11})
false

examples

Examples

iex> Caustic.Field.inverse({1, 71})
{1, 71}
iex> Caustic.Field.inverse({51, 71})
{39, 71}
iex> Caustic.Field.inverse({39, 71})
{51, 71}
iex> Caustic.Field.mul({51, 71}, {39, 71})
{1, 71}
iex> Caustic.Field.inverse({0, 71})
nil

examples

Examples

iex> Caustic.Field.mul({5, 19}, {3, 19})
{15, 19}
iex> Caustic.Field.mul({8, 19}, {17, 19})
{3, 19}

examples

Examples

iex> Caustic.Field.ne?({7, 13}, {7, 13})
false
iex> Caustic.Field.ne?({7, 13}, {6, 13})
true
iex> Caustic.Field.ne?({7, 13}, {7, 11})
true

examples

Examples

iex> Caustic.Field.pow({7, 19}, {3, 19})
{1, 19}

iex> Caustic.Field.pow({9, 19}, {12, 19})
{7, 19}

examples

Examples

iex> Caustic.Field.sub({7, 13}, {12, 13})
{8, 13}

Check if it is the additive identity.

examples

Examples

iex> Caustic.Field.zero?(0)
true
iex> Caustic.Field.zero?(0.0)
true
iex> Caustic.Field.zero?({0, 5})
true