algebra/include/nil/crypto3/algebra/curves/detail/forms/twisted_edwards/inverted/element_g1.hpp
Go to the documentation of this file.
constexpr bool operator==(const matrix< T, N, M > &a, const matrix< T, N, M > &b)
checks equality of two matrices
Definition: matrix/operators.hpp:48
Definition: pair.hpp:31
constexpr bool is_zero() const
Definition: algebra/include/nil/crypto3/algebra/curves/detail/forms/twisted_edwards/inverted/element_g1.hpp:149
constexpr bool operator==(const curve_element &other) const
Definition: algebra/include/nil/crypto3/algebra/curves/detail/forms/twisted_edwards/inverted/element_g1.hpp:118
constexpr curve_element< params_type, form, typename curves::coordinates::affine > to_affine() const
Definition: algebra/include/nil/crypto3/algebra/curves/detail/forms/twisted_edwards/inverted/element_g1.hpp:170
field_value_type X
Definition: algebra/include/nil/crypto3/algebra/curves/detail/forms/twisted_edwards/inverted/element_g1.hpp:75
field_value_type Z
Definition: algebra/include/nil/crypto3/algebra/curves/detail/forms/twisted_edwards/inverted/element_g1.hpp:77
constexpr curve_element(field_value_type X, field_value_type Y, field_value_type Z)
Definition: algebra/include/nil/crypto3/algebra/curves/detail/forms/twisted_edwards/inverted/element_g1.hpp:94
constexpr curve_element()
Definition: algebra/include/nil/crypto3/algebra/curves/detail/forms/twisted_edwards/inverted/element_g1.hpp:85
constexpr curve_element operator-() const
Definition: algebra/include/nil/crypto3/algebra/curves/detail/forms/twisted_edwards/inverted/element_g1.hpp:209
constexpr bool is_well_formed() const
Definition: algebra/include/nil/crypto3/algebra/curves/detail/forms/twisted_edwards/inverted/element_g1.hpp:157
constexpr curve_element doubled() const
Definition: algebra/include/nil/crypto3/algebra/curves/detail/forms/twisted_edwards/inverted/element_g1.hpp:221
constexpr curve_element operator-(const curve_element &other) const
Definition: algebra/include/nil/crypto3/algebra/curves/detail/forms/twisted_edwards/inverted/element_g1.hpp:213
CurveParams params_type
Definition: algebra/include/nil/crypto3/algebra/curves/detail/forms/twisted_edwards/inverted/element_g1.hpp:59
constexpr static curve_element one()
Get the generator of group G1.
Definition: algebra/include/nil/crypto3/algebra/curves/detail/forms/twisted_edwards/inverted/element_g1.hpp:110
coordinates::inverted coordinates
Definition: algebra/include/nil/crypto3/algebra/curves/detail/forms/twisted_edwards/inverted/element_g1.hpp:71
typename params_type::template group_type< coordinates > group_type
Definition: algebra/include/nil/crypto3/algebra/curves/detail/forms/twisted_edwards/inverted/element_g1.hpp:73
constexpr curve_element operator=(const curve_element &other)
Definition: algebra/include/nil/crypto3/algebra/curves/detail/forms/twisted_edwards/inverted/element_g1.hpp:183
constexpr bool operator!=(const curve_element &other) const
Definition: algebra/include/nil/crypto3/algebra/curves/detail/forms/twisted_edwards/inverted/element_g1.hpp:142
field_value_type Y
Definition: algebra/include/nil/crypto3/algebra/curves/detail/forms/twisted_edwards/inverted/element_g1.hpp:76
curve_element mixed_add(const curve_element &other) const
“Mixed addition” refers to the case Z2 known to be 1.
Definition: algebra/include/nil/crypto3/algebra/curves/detail/forms/twisted_edwards/inverted/element_g1.hpp:230
constexpr static curve_element zero()
Get the point at infinity.
Definition: algebra/include/nil/crypto3/algebra/curves/detail/forms/twisted_edwards/inverted/element_g1.hpp:103
typename params_type::field_type field_type
Definition: algebra/include/nil/crypto3/algebra/curves/detail/forms/twisted_edwards/inverted/element_g1.hpp:60
constexpr curve_element operator+(const curve_element &other) const
Definition: algebra/include/nil/crypto3/algebra/curves/detail/forms/twisted_edwards/inverted/element_g1.hpp:192
A struct representing a group G1 of elliptic curve.
Definition: algebra/include/nil/crypto3/algebra/curves/detail/forms/edwards/inverted/element_g1.hpp:50
A struct representing element addition from the group G1 of twisted Edwards curve for inversed coordi...
Definition: add_2008_bbjlp.hpp:41
A struct representing element doubling from the group G1 of twisted Edwards curve for inversed coordi...
Definition: dbl_2008_bbjlp.hpp:41
A struct representing element addition from the group G1 of twisted Edwards curve for inversed coordi...
Definition: madd_2008_bbjlp.hpp:41
Definition: forms.hpp:71
Definition: forms.hpp:34