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25 changes: 15 additions & 10 deletions test/src/lib/LibDecimalFloat.pow.t.sol
Original file line number Diff line number Diff line change
Expand Up @@ -150,18 +150,23 @@ contract LibDecimalFloatPowTest is LogTest {

function testRoundTripFuzzPow(Float a, Float b) external {
try this.powExternal(a, b) returns (Float c) {
// If b is zero we'll divide by zero on the inv.
// If c is 1 then it's not round trippable because 1^x = 1 for all x.
// C will be 1 when a is 1 or b is 0 (or very close to either).
if (b.isZero() || c.eq(LibDecimalFloat.FLOAT_ONE)) {} else {
Float inv = b.inv();
try this.powExternal(c, inv) returns (Float roundTrip) {
if (roundTrip.isZero()) {} else {
Float diff = a.div(roundTrip).sub(LibDecimalFloat.packLossless(1, 0)).abs();
// If C is 1 then either a == 1 or b == 0 (or b rounds to 0).
// The case where a is 1 should round trip, but all other cases won't.
if (a.eq(LibDecimalFloat.FLOAT_ONE) || !c.eq(LibDecimalFloat.FLOAT_ONE)) {
if (b.isZero()) {
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assertTrue(c.eq(LibDecimalFloat.FLOAT_ONE), "b is 0 so c should be 1");
} else if (!(c.isZero() && b.lt(LibDecimalFloat.FLOAT_ZERO))) {
Float inv = b.inv();
// The round trip should not error so we do not try.
Float roundTrip = this.powExternal(c, inv);
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if (!roundTrip.isZero()) {
Float diff = a.div(roundTrip).sub(LibDecimalFloat.FLOAT_ONE).abs();
assertTrue(!diff.gt(diffLimit()), "diff");
}
} catch (bytes memory err) {}
}
}
} catch (bytes memory err) {}
} catch (bytes memory) {
// Can't round trip something that errors.
}
}
}