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| 1 | +; Hard falloff benchmarks sourced from growlibm/Falloff.cpp. Troe, SRI, and Tsang falloff formulæ mix exponentials, logarithms, and guarded reciprocals, which create cancellation-prone transitions between low- and high-pressure limits. |
| 2 | + |
| 3 | +(FPCore (T m_a m_rt3 m_rt1 m_t2) |
| 4 | + :name "falloff-troe-fcent" |
| 5 | + :pre (and (> T 0) |
| 6 | + (>= m_a 0) |
| 7 | + (<= m_a 1) |
| 8 | + (> m_rt3 0) |
| 9 | + (> m_rt1 0)) |
| 10 | + (let ((term3 (* (- 1 m_a) (exp (- (* T m_rt3)))))) |
| 11 | + (let ((term1 (* m_a (exp (- (* T m_rt1)))))) |
| 12 | + (let ((base (+ term3 term1))) |
| 13 | + (if (< (fabs m_t2) 1e-12) |
| 14 | + base |
| 15 | + (+ base (exp (/ (- m_t2) T)))))))) |
| 16 | + |
| 17 | +(FPCore (T m_a m_rt3 m_rt1 m_t2 SmallNumber) |
| 18 | + :name "falloff-troe-log-fcent" |
| 19 | + :pre (and (> T 0) |
| 20 | + (> SmallNumber 0) |
| 21 | + (>= m_a 0) |
| 22 | + (<= m_a 1) |
| 23 | + (> m_rt3 0) |
| 24 | + (> m_rt1 0)) |
| 25 | + (let ((term3 (* (- 1 m_a) (exp (- (* T m_rt3)))))) |
| 26 | + (let ((term1 (* m_a (exp (- (* T m_rt1)))))) |
| 27 | + (let ((base (+ term3 term1))) |
| 28 | + (let ((fcent (if (< (fabs m_t2) 1e-12) |
| 29 | + base |
| 30 | + (+ base (exp (/ (- m_t2) T)))))) |
| 31 | + (let ((safe (if (> fcent SmallNumber) fcent SmallNumber))) |
| 32 | + (/ (log safe) (log 10.0)))))))) |
| 33 | + |
| 34 | +(FPCore (pr work SmallNumber) |
| 35 | + :name "falloff-troe-blend" |
| 36 | + :pre (and (> SmallNumber 0) |
| 37 | + (> pr 0) |
| 38 | + (< (fabs work) 10)) |
| 39 | + (let ((guard (if (> pr SmallNumber) pr SmallNumber))) |
| 40 | + (let ((lpr (/ (log guard) (log 10.0)))) |
| 41 | + (let ((cc (+ -0.4 (* -0.67 work)))) |
| 42 | + (let ((nn (+ 0.75 (* -1.27 work)))) |
| 43 | + (let ((lp (+ lpr cc))) |
| 44 | + (let ((den (- nn (* 0.14 lp)))) |
| 45 | + (let ((f1 (/ lp den))) |
| 46 | + (let ((lgf (/ work (+ 1 (* f1 f1))))) |
| 47 | + (pow 10.0 lgf)))))))))) |
| 48 | + |
| 49 | +(FPCore (T3 SmallNumber) |
| 50 | + :name "falloff-troe-inverse-t3" |
| 51 | + :pre (and (> SmallNumber 0)) |
| 52 | + (let ((absT3 (fabs T3))) |
| 53 | + (if (< absT3 SmallNumber) |
| 54 | + (/ 1.0 SmallNumber) |
| 55 | + (/ 1.0 T3)))) |
| 56 | + |
| 57 | +(FPCore (T1 SmallNumber) |
| 58 | + :name "falloff-troe-inverse-t1" |
| 59 | + :pre (and (> SmallNumber 0)) |
| 60 | + (let ((absT1 (fabs T1))) |
| 61 | + (if (< absT1 SmallNumber) |
| 62 | + (/ 1.0 SmallNumber) |
| 63 | + (/ 1.0 T1)))) |
| 64 | + |
| 65 | +(FPCore (T m_a m_b m_c) |
| 66 | + :name "falloff-sri-work" |
| 67 | + :pre (and (> T 0) |
| 68 | + (>= m_a 0) |
| 69 | + (>= m_c 0)) |
| 70 | + (let ((base (* m_a (exp (/ (- m_b) T))))) |
| 71 | + (if (< m_c 1e-12) |
| 72 | + base |
| 73 | + (+ base (exp (/ (- T) m_c)))))) |
| 74 | + |
| 75 | +(FPCore (pr work m_d m_e T SmallNumber) |
| 76 | + :name "falloff-sri-factor" |
| 77 | + :pre (and (> pr 0) |
| 78 | + (> work 0) |
| 79 | + (> T 0) |
| 80 | + (> SmallNumber 0) |
| 81 | + (>= m_d 0)) |
| 82 | + (let ((guard (if (> pr SmallNumber) pr SmallNumber))) |
| 83 | + (let ((lpr (/ (log guard) (log 10.0)))) |
| 84 | + (let ((xx (/ 1.0 (+ 1.0 (* lpr lpr))))) |
| 85 | + (let ((amp (* m_d (pow T m_e)))) |
| 86 | + (* (pow work xx) amp)))))) |
| 87 | + |
| 88 | +(FPCore (pr work SmallNumber) |
| 89 | + :name "falloff-troe-shape" |
| 90 | + :pre (and (> SmallNumber 0) |
| 91 | + (> pr 0) |
| 92 | + (< (fabs work) 10)) |
| 93 | + (let ((guard (if (> pr SmallNumber) pr SmallNumber))) |
| 94 | + (let ((lpr (/ (log guard) (log 10.0)))) |
| 95 | + (let ((cc (+ -0.4 (* -0.67 work)))) |
| 96 | + (let ((nn (+ 0.75 (* -1.27 work)))) |
| 97 | + (let ((lp (+ lpr cc))) |
| 98 | + (let ((den (- nn (* 0.14 lp)))) |
| 99 | + (/ lp den)))))))) |
| 100 | + |
| 101 | +(FPCore (T m_a m_b SmallNumber) |
| 102 | + :name "falloff-tsang-work" |
| 103 | + :pre (and (> T 0) |
| 104 | + (> SmallNumber 0)) |
| 105 | + (let ((fcent (+ m_a (* m_b T)))) |
| 106 | + (let ((safe (if (> fcent SmallNumber) fcent SmallNumber))) |
| 107 | + (/ (log safe) (log 10.0))))) |
| 108 | + |
| 109 | +(FPCore (pr work SmallNumber) |
| 110 | + :name "falloff-tsang-factor" |
| 111 | + :pre (and (> SmallNumber 0) |
| 112 | + (> pr 0) |
| 113 | + (< (fabs work) 10)) |
| 114 | + (let ((guard (if (> pr SmallNumber) pr SmallNumber))) |
| 115 | + (let ((lpr (/ (log guard) (log 10.0)))) |
| 116 | + (let ((cc (+ -0.4 (* -0.67 work)))) |
| 117 | + (let ((nn (+ 0.75 (* -1.27 work)))) |
| 118 | + (let ((lp (+ lpr cc))) |
| 119 | + (let ((den (- nn (* 0.14 lp)))) |
| 120 | + (let ((f1 (/ lp den))) |
| 121 | + (let ((lgf (/ work (+ 1 (* f1 f1))))) |
| 122 | + (pow 10.0 lgf)))))))))) |
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