curve_utils.hpp

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#ifndef CURVE_UTILS_HPP_
#define CURVE_UTILS_HPP_
#include <cstdint>
#include <libff/algebra/curves/public_params.hpp>
#include <libff/algebra/fields/bigint.hpp>
 
namespace libff
{
 
template<typename GroupT, mp_size_t m>
GroupT scalar_mul(const GroupT &base, const bigint<m> &scalar);
 
// Utility function to compute Y coordinate of a point on the curve E(Fq) with
// the given x coordinate. This function does not check whether E(Fq) has a
// solution at x, and will hang indefinitely if it does not.
template<typename GroupT>
decltype(((GroupT *)nullptr)->X) curve_point_y_at_x(
    const decltype(((GroupT *)nullptr)->X) &x);
 
// Utility function to compute a point on the curve E(Fq) with the given x
// coordinate. If the curve has no solution, this function throws an
// exception.
template<typename GroupT>
GroupT g1_curve_point_at_x(const typename GroupT::base_field &x);
 
// Utility function to compute a point on the twisted curve E'(Fqe) with the
// given x coordinate.
template<typename GroupT>
GroupT g2_curve_point_at_x(const typename GroupT::twist_field &x);
 
} // namespace libff
#include <libff/algebra/curves/curve_utils.tcc>
 
#endif // CURVE_UTILS_HPP_