algebra/include/nil/crypto3/algebra/curves/detail/forms/short_weierstrass/projective/element_g1.hpp
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34 #include <nil/crypto3/algebra/curves/detail/forms/short_weierstrass/projective/add_1998_cmo_2.hpp>
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
field_value_type X
Definition: algebra/include/nil/crypto3/algebra/curves/detail/forms/short_weierstrass/projective/element_g1.hpp:74
constexpr curve_element operator-() const
Definition: algebra/include/nil/crypto3/algebra/curves/detail/forms/short_weierstrass/projective/element_g1.hpp:224
constexpr curve_element()
Definition: algebra/include/nil/crypto3/algebra/curves/detail/forms/short_weierstrass/projective/element_g1.hpp:84
constexpr bool operator==(const curve_element &other) const
Definition: algebra/include/nil/crypto3/algebra/curves/detail/forms/short_weierstrass/projective/element_g1.hpp:116
constexpr curve_element< params_type, form, typename curves::coordinates::affine > to_affine() const
Definition: algebra/include/nil/crypto3/algebra/curves/detail/forms/short_weierstrass/projective/element_g1.hpp:185
constexpr curve_element doubled() const
Definition: algebra/include/nil/crypto3/algebra/curves/detail/forms/short_weierstrass/projective/element_g1.hpp:236
coordinates::projective coordinates
Definition: algebra/include/nil/crypto3/algebra/curves/detail/forms/short_weierstrass/projective/element_g1.hpp:70
constexpr bool operator!=(const curve_element &other) const
Definition: algebra/include/nil/crypto3/algebra/curves/detail/forms/short_weierstrass/projective/element_g1.hpp:140
typename params_type::template group_type< coordinates > group_type
Definition: algebra/include/nil/crypto3/algebra/curves/detail/forms/short_weierstrass/projective/element_g1.hpp:72
constexpr static curve_element zero()
Get the point at infinity.
Definition: algebra/include/nil/crypto3/algebra/curves/detail/forms/short_weierstrass/projective/element_g1.hpp:102
field_value_type Y
Definition: algebra/include/nil/crypto3/algebra/curves/detail/forms/short_weierstrass/projective/element_g1.hpp:75
constexpr bool is_zero() const
Definition: algebra/include/nil/crypto3/algebra/curves/detail/forms/short_weierstrass/projective/element_g1.hpp:147
constexpr 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/short_weierstrass/projective/element_g1.hpp:245
CurveParams params_type
Definition: algebra/include/nil/crypto3/algebra/curves/detail/forms/short_weierstrass/projective/element_g1.hpp:59
constexpr curve_element(field_value_type X, field_value_type Y, field_value_type Z)
Definition: algebra/include/nil/crypto3/algebra/curves/detail/forms/short_weierstrass/projective/element_g1.hpp:93
constexpr curve_element operator=(const curve_element &other)
Definition: algebra/include/nil/crypto3/algebra/curves/detail/forms/short_weierstrass/projective/element_g1.hpp:198
constexpr static curve_element one()
Get the generator of group G1.
Definition: algebra/include/nil/crypto3/algebra/curves/detail/forms/short_weierstrass/projective/element_g1.hpp:109
constexpr curve_element operator+(const curve_element &other) const
Definition: algebra/include/nil/crypto3/algebra/curves/detail/forms/short_weierstrass/projective/element_g1.hpp:207
constexpr bool is_well_formed() const
Definition: algebra/include/nil/crypto3/algebra/curves/detail/forms/short_weierstrass/projective/element_g1.hpp:155
field_value_type Z
Definition: algebra/include/nil/crypto3/algebra/curves/detail/forms/short_weierstrass/projective/element_g1.hpp:76
typename params_type::field_type field_type
Definition: algebra/include/nil/crypto3/algebra/curves/detail/forms/short_weierstrass/projective/element_g1.hpp:60
constexpr curve_element operator-(const curve_element &other) const
Definition: algebra/include/nil/crypto3/algebra/curves/detail/forms/short_weierstrass/projective/element_g1.hpp:228
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 short Weierstrass curve for projective co...
Definition: projective/add_1998_cmo_2.hpp:41
A struct representing element doubling from the group G1 of short Weierstrass curve for projective co...
Definition: short_weierstrass/projective/dbl_2007_bl.hpp:40
Definition: forms.hpp:67
Definition: forms.hpp:34