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47 lines
1 KiB
C++
47 lines
1 KiB
C++
/*++
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Copyright (c) 2017 Microsoft Corporation
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Author:
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Lev Nachmanson (levnach)
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Nikolaj Bjorner (nbjorner)
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--*/
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#pragma once
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#include "util/rational.h"
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#include "math/lp/factorization.h"
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#include "math/lp/nla_common.h"
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namespace nla {
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class core;
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struct point {
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rational x;
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rational y;
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point(const rational& a, const rational& b): x(a), y(b) {}
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point() {}
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inline point& operator*=(rational a) {
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x *= a;
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y *= a;
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return *this;
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}
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inline point& operator/=(rational a) {
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x /= a;
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y /= a;
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return *this;
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}
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inline point operator+(const point& b) const {
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return point(x + b.x, y + b.y);
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}
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inline point operator-(const point& b) const {
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return point(x - b.x, y - b.y);
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}
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};
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inline std::ostream& operator<<(std::ostream& out, point const& a) { return out << "(" << a.x << ", " << a.y << ")"; }
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struct tangents : common {
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tangents(core *core);
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void tangent_lemma();
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}; // end of tangents
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} // end of namespace
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