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feefrac: add support for evaluating at given size
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3 changed files with 67 additions and 1 deletions
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@ -17,6 +17,27 @@ BOOST_AUTO_TEST_CASE(feefrac_operators)
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FeeFrac empty{0, 0};
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FeeFrac zero_fee{0, 1}; // zero-fee allowed
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BOOST_CHECK_EQUAL(zero_fee.EvaluateFee(0), 0);
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BOOST_CHECK_EQUAL(zero_fee.EvaluateFee(1), 0);
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BOOST_CHECK_EQUAL(zero_fee.EvaluateFee(1000000), 0);
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BOOST_CHECK_EQUAL(zero_fee.EvaluateFee(0x7fffffff), 0);
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BOOST_CHECK_EQUAL(p1.EvaluateFee(0), 0);
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BOOST_CHECK_EQUAL(p1.EvaluateFee(1), 10);
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BOOST_CHECK_EQUAL(p1.EvaluateFee(100000000), 1000000000);
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BOOST_CHECK_EQUAL(p1.EvaluateFee(0x7fffffff), int64_t(0x7fffffff) * 10);
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FeeFrac neg{-1001, 100};
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BOOST_CHECK_EQUAL(neg.EvaluateFee(0), 0);
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BOOST_CHECK_EQUAL(neg.EvaluateFee(1), -11);
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BOOST_CHECK_EQUAL(neg.EvaluateFee(2), -21);
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BOOST_CHECK_EQUAL(neg.EvaluateFee(3), -31);
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BOOST_CHECK_EQUAL(neg.EvaluateFee(100), -1001);
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BOOST_CHECK_EQUAL(neg.EvaluateFee(101), -1012);
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BOOST_CHECK_EQUAL(neg.EvaluateFee(100000000), -1001000000);
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BOOST_CHECK_EQUAL(neg.EvaluateFee(100000001), -1001000011);
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BOOST_CHECK_EQUAL(neg.EvaluateFee(0x7fffffff), -21496311307);
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BOOST_CHECK(empty == FeeFrac{}); // same as no-args
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BOOST_CHECK(p1 == p1);
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@ -67,6 +88,16 @@ BOOST_AUTO_TEST_CASE(feefrac_operators)
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BOOST_CHECK(oversized_1 << oversized_2);
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BOOST_CHECK(oversized_1 != oversized_2);
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BOOST_CHECK_EQUAL(oversized_1.EvaluateFee(0), 0);
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BOOST_CHECK_EQUAL(oversized_1.EvaluateFee(1), 1152921);
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BOOST_CHECK_EQUAL(oversized_1.EvaluateFee(2), 2305843);
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BOOST_CHECK_EQUAL(oversized_1.EvaluateFee(1548031267), 1784758530396540);
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// Test cases on the threshold where FeeFrac::EvaluateFee start using Mul/Div.
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BOOST_CHECK_EQUAL(FeeFrac(0x1ffffffff, 123456789).EvaluateFee(98765432), 6871947728);
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BOOST_CHECK_EQUAL(FeeFrac(0x200000000, 123456789).EvaluateFee(98765432), 6871947729);
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BOOST_CHECK_EQUAL(FeeFrac(0x200000001, 123456789).EvaluateFee(98765432), 6871947730);
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// Tests paths that use double arithmetic
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FeeFrac busted{(static_cast<int64_t>(INT32_MAX)) + 1, INT32_MAX};
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BOOST_CHECK(!(busted < busted));
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@ -77,6 +108,13 @@ BOOST_AUTO_TEST_CASE(feefrac_operators)
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BOOST_CHECK(max_fee <= max_fee);
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BOOST_CHECK(max_fee >= max_fee);
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BOOST_CHECK_EQUAL(max_fee.EvaluateFee(0), 0);
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BOOST_CHECK_EQUAL(max_fee.EvaluateFee(1), 977888);
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BOOST_CHECK_EQUAL(max_fee.EvaluateFee(2), 1955777);
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BOOST_CHECK_EQUAL(max_fee.EvaluateFee(3), 2933666);
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BOOST_CHECK_EQUAL(max_fee.EvaluateFee(1256796054), 1229006664189047);
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BOOST_CHECK_EQUAL(max_fee.EvaluateFee(INT32_MAX), 2100000000000000);
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FeeFrac max_fee2{1, 1};
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BOOST_CHECK(max_fee >= max_fee2);
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@ -159,7 +159,8 @@ FUZZ_TARGET(feefrac_mul_div)
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// If the result is not representable by an int64_t, bail out.
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if ((is_negative && quot_abs > MAX_ABS_INT64) || (!is_negative && quot_abs >= MAX_ABS_INT64)) {
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// If 0 <= mul32 <= div, then the result is guaranteed to be representable.
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// If 0 <= mul32 <= div, then the result is guaranteed to be representable. In the context
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// of the Evaluate call below, this corresponds to 0 <= at_size <= feefrac.size.
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assert(mul32 < 0 || mul32 > div);
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return;
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}
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@ -172,4 +173,10 @@ FUZZ_TARGET(feefrac_mul_div)
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// Verify the behavior of FeeFrac::MulFallback + FeeFrac::DivFallback.
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auto res_fallback = FeeFrac::DivFallback(FeeFrac::MulFallback(mul64, mul32), div);
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assert(res == res_fallback);
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// Verify the behavior of FeeFrac::Evaluate.
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if (mul32 > 0) {
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auto res_fee = FeeFrac{mul64, div}.EvaluateFee(mul32);
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assert(res == res_fee);
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}
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}
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@ -182,6 +182,27 @@ struct FeeFrac
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std::swap(a.fee, b.fee);
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std::swap(a.size, b.size);
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}
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/** Compute the fee for a given size `at_size` using this object's feerate.
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*
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* This effectively corresponds to evaluating (this->fee * at_size) / this->size, with the
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* result rounded down (even for negative feerates).
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*
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* Requires this->size > 0, at_size >= 0, and that the correct result fits in a int64_t. This
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* is guaranteed to be the case when 0 <= at_size <= this->size.
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*/
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int64_t EvaluateFee(int32_t at_size) const noexcept
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{
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Assume(size > 0);
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Assume(at_size >= 0);
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if (fee >= 0 && fee < 0x200000000) [[likely]] {
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// Common case where (this->fee * at_size) is guaranteed to fit in a uint64_t.
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return (uint64_t(fee) * at_size) / uint32_t(size);
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} else {
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// Otherwise, use Mul and Div.
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return Div(Mul(fee, at_size), size);
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}
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}
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};
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/** Compare the feerate diagrams implied by the provided sorted chunks data.
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