FA-16382 / Floating-point arithmetic / Member archive

Complex division inverts its real-dominant denominator ratio · case 02

Complex division inverts its real-dominant denominator ratio.

Member previewVariant 2 · 3 implementations · 12 checks per implementation

Case contract

Divide finite complex a+ib by nonzero c+id using a denominator-ratio branch. Fixtures bound products and exercise huge or tiny denominators whose naive squares overflow or underflow. Return rendered real and imaginary components. Finite results are rendered to eleven significant decimal digits; modeled domain violations and arithmetic errors are explicit strings.

Why this case matters

An offline floating representation model isolates a reproducible arithmetic fault.

One recorded failure

Sample boundary fixture

This sample comes from the broken implementation of a controlled reproducer.

Boundary fixture	Actual	Expected	Outcome
asymmetric numerator	`["1.375", "-1.25"]`	`["0.82352941176", "0.29411764706"]`	Failed

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