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zenno/race/stam: approach for calculating 2/3 race hp distribution #44

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opened 2026-09-06 13:46:14 -04:00 by zephyr · 0 comments
zephyr commented 2026-09-06 13:46:14 -04:00
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fundamental idea is to represent the recovery distribution as a linear combination of dirac deltas to convolve with per-section/slope/rush/ss hp use, constructing the distributions in frequency domain analytically for easy convolution and then ifft.

not certain that section hp use will be rectangular, though, since the hp rate scales quadratically with speed and the time to complete the section scales inversely.

fundamental idea is to represent the recovery distribution as a linear combination of dirac deltas to convolve with per-section/slope/rush/ss hp use, constructing the distributions in frequency domain analytically for easy convolution and then ifft. not certain that section hp use will be rectangular, though, since the hp rate scales quadratically with speed and the time to complete the section scales inversely.
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Reference: zephyr/horse#44
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