Caustic

v0.1.13

Caustic v0.1.13 Caustic.Field protocol View Source

Protocol on field operations. Mainly to support Caustic.FiniteField.

Link to this section Summary

Types

t()

Functions

add(x, y)

Examples

div(x, y)

Examples

eq?(x, y)

Examples

inverse(x)

Examples

mul(x, y)

Examples

ne?(x, y)

Examples

neg(x)
pow(x, y)

Examples

sqrt(x)
sub(x, y)

Examples

zero?(x)

Check if it is the additive identity

Link to this section Types

Link to this section Functions

Link to this function add(x, y) View Source

Examples 

iex> Caustic.Field.add({7, 13}, {12, 13})
{6, 13}
Link to this function div(x, y) View Source

Examples 

iex> Caustic.Field.div({2, 5}, {4, 5})
{3, 5}
iex> Caustic.Field.div({1, 5}, {2, 5})
{3, 5}
Link to this function eq?(x, y) View Source

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
Link to this function inverse(x) View Source

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
Link to this function mul(x, y) View Source

Examples 

iex> Caustic.Field.mul({5, 19}, {3, 19})
{15, 19}
iex> Caustic.Field.mul({8, 19}, {17, 19})
{3, 19}
Link to this function ne?(x, y) View Source

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
Link to this function pow(x, y) View Source

Examples 

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

iex> Caustic.Field.pow({9, 19}, {12, 19})
{7, 19}
Link to this function sub(x, y) View Source

Examples 

iex> Caustic.Field.sub({7, 13}, {12, 13})
{8, 13}
Link to this function zero?(x) View Source

Check if it is the additive identity.

Examples 

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