fix(math): handle negative powers in fast powering algorithm#2179
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fauzan171 wants to merge 1 commit into
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fix(math): handle negative powers in fast powering algorithm#2179fauzan171 wants to merge 1 commit into
fauzan171 wants to merge 1 commit into
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The fastPowering function previously entered infinite recursion when called with a negative power value, since negative powers never hit the base case (power === 0) due to the floor division logic. Added handling for negative powers by computing the reciprocal: x^(-n) = 1 / x^n, then recursively computing x^n with the positive exponent. Added test cases for negative powers.
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Problem
The
fastPoweringfunction enters infinite recursion when called with a negative power value.This happens because negative powers never hit the base case (
power === 0) due to the floor division logic —Math.floor(-1 / 2)is-1, not0.Fix
Added handling for negative powers by computing the reciprocal before recursing:
This converts the negative power to a positive one and computes the reciprocal.
Test Coverage
Added test cases for negative powers:
fastPowering(2, -1)→0.5fastPowering(2, -2)→0.25fastPowering(2, -3)→0.125fastPowering(4, -1)→0.25fastPowering(5, -2)→0.04fastPowering(10, -1)→0.1All existing tests continue to pass.