Pot & EV

Chip-level pot odds, breakeven equity, call EV, rake adjustments, and book-style winning odds. These helpers assume a single call decision on the current street—no future-street modeling beyond what rake on the final pot implies.

Use this group when you are building call/fold trainers, HUD overlays, or server-side spot analysis where you already have equity and need to compare it to the price of a call.

Export	Summary
potOddsRatio	toCall / (pot + toCall) when valid; else 0.
expectedValueCall	Chip EV of calling once vs folding (0); no future streets.
expectedValueCallWithRake	Call EV when the final HU pot pays rake.
breakevenCallEquity	Same fraction as potOddsRatio for chip calls.
breakevenCallEquityFromPotOddsDisplayRatio	1/(1+R) from display ratio R; 0 when R is +∞.
potOddsDisplayRatioFromBreakevenCallEquity	Inverse (1−e)/e; +∞ when e=0; 0 when e=1.
formatPotOddsReducedFraction	Reduced integer pot : to_call string.
equityToWinningOddsAgainst	Book-style (1−p)/p; +∞ at p=0.
winningOddsAgainstToEquity	1/(1+o) for o≥0; 0 when o=+∞.
rakeFromPot	Rake min(fraction×pot, cap).
breakevenCallEquityWithRake	Breakeven equity when the final pot pays rake.

Display-oriented pot odds (potOddsRatioDisplay, formatPotOdds) live under Stacks & display. | netPotAfterRake | Pot minus rake: pot − rakeFromPot. | | netPotAfterCallAndRake | Net pot after HU call and rake. | | effectivePotOddsDisplayAfterRake | Display pot:call after rake on final pot. | | expectedValueRaise | Chip EV of raise vs fold (two-outcome model). | | expectedValueRaiseWithRake | Raise EV with rake on called pot. | | breakevenRaiseEquity | Equity needed for neutral raise. | | breakevenCallEquityWithPostedAnte | Breakeven when hero still posts ante. | | potSizeAfterHuCall | Pot after heads-up call: pot+2×call. | | potSizeAfterHuBet | Pot after heads-up bet: pot+2×bet. | | expectedValuePerBigBlind | Chip EV expressed in big blinds. |