アフィン変換
(math/affine-transformation.hpp)

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• Last update: 2024-05-03 21:06:15+09:00
• Include: #include "math/affine-transformation.hpp"

Verified with

• verify/verify-unit-test/rbst-segment-tree.test.cpp
• verify/verify-yosupo-ds/yosupo-deque-operate-all-composite.test.cpp
• verify/verify-yosupo-ds/yosupo-dynamic-sequence-range-affine-range-sum-splay.test.cpp
• verify/verify-yosupo-ds/yosupo-dynamic-sequence-range-affine-range-sum-treap.test.cpp
• verify/verify-yosupo-ds/yosupo-dynamic-sequence-range-affine-range-sum.test.cpp
• verify/verify-yosupo-ds/yosupo-dynamic-tree-vertex-set-path-composite.test.cpp
• verify/verify-yosupo-ds/yosupo-point-set-range-composite-dynamic-segtree.test.cpp
• verify/verify-yosupo-ds/yosupo-point-set-range-composite-rbstseg.test.cpp
• verify/verify-yosupo-ds/yosupo-point-set-range-composite-rbstseg2.test.cpp
• verify/verify-yosupo-ds/yosupo-range-add-range-sum-linkcuttree.test.cpp
• verify/verify-yosupo-ds/yosupo-range-affine-range-sum-dynamic-segtree.test.cpp
• verify/verify-yosupo-ds/yosupo-range-affine-range-sum-rbstseg.test.cpp
• verify/verify-yosupo-ds/yosupo-range-affine-sqdec.test.cpp
• verify/verify-yosupo-ds/yosupo-range-set-range-composite.test.cpp
• verify/verify-yosupo-ds/yosupo-vertex-set-path-composite.test.cpp

Code

#pragma once

template <typename mint>
struct Affine {
  mint a, b;
  constexpr Affine() : a(1), b(0) {}
  constexpr Affine(mint _a, mint _b) : a(_a), b(_b) {}
  // R(L(x))
  friend Affine operator*(const Affine& l, const Affine& r) {
    return Affine(l.a * r.a, l.b * r.a + r.b);
  }
  mint operator()(mint x) const { return a * x + b; }
  Affine operator()(const Affine& r) const { return r * (*this); }
  bool operator==(const Affine& r) const { return a == r.a && b == r.b; }
  bool operator!=(const Affine& r) const { return a != r.a || b != r.b; }
  friend ostream& operator<<(ostream& os, const Affine& r) {
    os << "( " << r.a << ", " << r.b << " )";
    return os;
  }
};

/**
 * @brief アフィン変換
 */

#line 2 "math/affine-transformation.hpp"

template <typename mint>
struct Affine {
  mint a, b;
  constexpr Affine() : a(1), b(0) {}
  constexpr Affine(mint _a, mint _b) : a(_a), b(_b) {}
  // R(L(x))
  friend Affine operator*(const Affine& l, const Affine& r) {
    return Affine(l.a * r.a, l.b * r.a + r.b);
  }
  mint operator()(mint x) const { return a * x + b; }
  Affine operator()(const Affine& r) const { return r * (*this); }
  bool operator==(const Affine& r) const { return a == r.a && b == r.b; }
  bool operator!=(const Affine& r) const { return a != r.a || b != r.b; }
  friend ostream& operator<<(ostream& os, const Affine& r) {
    os << "( " << r.a << ", " << r.b << " )";
    return os;
  }
};

/**
 * @brief アフィン変換
 */

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