derek.holloway
7502bf64a4
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69 lines
1.9 KiB
C++
69 lines
1.9 KiB
C++
//===----------------------------------------------------------------------===//
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//
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// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
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// See https://llvm.org/LICENSE.txt for license information.
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// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
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//
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//===----------------------------------------------------------------------===//
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// Implementations of well-known functions in mathematics that are useful for
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// testing algorithms.
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#ifndef LIBCXX_TEST_MATHS_H
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#define LIBCXX_TEST_MATHS_H
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#include <algorithm>
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#include <cassert>
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#include <concepts>
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#include <ranges>
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#include <vector>
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template <std::ranges::forward_range R>
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constexpr std::ranges::range_value_t<R> triangular_sum(R& input) {
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assert(not std::ranges::empty(input));
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auto [min, max] = std::ranges::minmax_element(input);
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return static_cast<std::ranges::range_value_t<R>>(
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(static_cast<double>(std::ranges::distance(input)) / 2) * (*min + *max));
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}
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template <std::integral I>
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constexpr I factorial(I const n) {
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assert(n >= 0);
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auto result = I(1);
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for (auto i = I(1); i <= n; ++i) {
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result *= i;
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}
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return result;
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}
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static_assert(factorial(0) == 1);
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static_assert(factorial(1) == 1);
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static_assert(factorial(2) == 2);
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static_assert(factorial(3) == 6);
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static_assert(factorial(4) == 24);
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static_assert(factorial(5) == 120);
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template <std::integral I>
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constexpr I fibonacci(I const n) {
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assert(n >= 0);
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auto result = I(0);
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auto prev = I(1);
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for (auto i = I(0); i < n; ++i) {
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result += std::exchange(prev, result);
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}
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return result;
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}
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static_assert(fibonacci(0) == 0);
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static_assert(fibonacci(1) == 1);
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static_assert(fibonacci(2) == 1);
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static_assert(fibonacci(3) == 2);
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static_assert(fibonacci(4) == 3);
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static_assert(fibonacci(5) == 5);
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static_assert(fibonacci(6) == 8);
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static_assert(fibonacci(7) == 13);
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static_assert(fibonacci(8) == 21);
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static_assert(fibonacci(9) == 34);
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#endif // LIBCXX_TEST_MATHS_H
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