forked from mpusz/mp-units
Support addition and negation in ratio
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@@ -60,6 +60,27 @@ struct ratio {
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[[nodiscard]] friend constexpr bool operator==(const ratio&, const ratio&) = default;
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[[nodiscard]] friend constexpr ratio operator-(const ratio& r)
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{
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return ratio(-r.num, r.den, r.exp);
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}
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[[nodiscard]] friend constexpr ratio operator+(ratio lhs, ratio rhs)
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{
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// First, get the inputs into a common exponent.
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const auto common_exp = std::min(lhs.exp, rhs.exp);
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auto commonify = [common_exp](ratio &r) {
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while (r.exp > common_exp) {
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r.num *= 10;
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--r.exp;
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}
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};
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commonify(lhs);
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commonify(rhs);
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return ratio{lhs.num * rhs.den + lhs.den * rhs.num, lhs.den * rhs.den, common_exp};
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}
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[[nodiscard]] friend constexpr ratio operator*(const ratio& lhs, const ratio& rhs)
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{
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const std::intmax_t gcd1 = std::gcd(lhs.num, rhs.den);
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@@ -40,6 +40,13 @@ static_assert(ratio(4) * ratio(1, 2) == ratio(2));
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static_assert(ratio(1, 8) * ratio(2) == ratio(1, 4));
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static_assert(ratio(1, 2) * ratio(8) == ratio(4));
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// ratio negation
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static_assert(-ratio(3, 8) == ratio(-3, 8));
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// ratio addition
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static_assert(ratio(1, 2) + ratio(1, 3) == ratio(5, 6));
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static_assert(ratio(1, 3, 2) + ratio(11, 6) == ratio(211, 6)); // 100/3 + 11/6
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// multiply with exponents
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static_assert(ratio(1, 8, 2) * ratio(2, 1, 4) == ratio(1, 4, 6));
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static_assert(ratio(1, 2, -4) * ratio(8, 1, 3) == ratio(4, 1, -1));
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