--- /dev/null
+/////////////////////////////////////////////////////////////////
+// ScoreType.h
+//
+// Routines for doing math operations in PROBCONS.
+/////////////////////////////////////////////////////////////////
+
+#ifndef SCORETYPE_H
+#define SCORETYPE_H
+
+#include <cmath>
+#include <algorithm>
+#include <cfloat>
+
+typedef float ScoreType;
+
+const float LOG_ZERO = -2e20;
+const float LOG_ONE = 0.0;
+
+/////////////////////////////////////////////////////////////////
+// LOG()
+//
+// Compute the logarithm of x.
+/////////////////////////////////////////////////////////////////
+
+inline ScoreType LOG (ScoreType x){
+ return log (x);
+}
+
+/////////////////////////////////////////////////////////////////
+// EXP()
+//
+// Computes exp(x).
+/////////////////////////////////////////////////////////////////
+
+inline ScoreType EXP (ScoreType x){
+ //return exp(x);
+ if (x > -2){
+ if (x > -0.5){
+ if (x > 0)
+ return exp(x);
+ return (((0.03254409303190190000*x + 0.16280432765779600000)*x + 0.49929760485974900000)*x + 0.99995149601363700000)*x + 0.99999925508501600000;
+ }
+ if (x > -1)
+ return (((0.01973899026052090000*x + 0.13822379685007000000)*x + 0.48056651562365000000)*x + 0.99326940370383500000)*x + 0.99906756856399500000;
+ return (((0.00940528203591384000*x + 0.09414963667859410000)*x + 0.40825793595877300000)*x + 0.93933625499130400000)*x + 0.98369508190545300000;
+ }
+ if (x > -8){
+ if (x > -4)
+ return (((0.00217245711583303000*x + 0.03484829428350620000)*x + 0.22118199801337800000)*x + 0.67049462206469500000)*x + 0.83556950223398500000;
+ return (((0.00012398771025456900*x + 0.00349155785951272000)*x + 0.03727721426017900000)*x + 0.17974997741536900000)*x + 0.33249299994217400000;
+ }
+ if (x > -16)
+ return (((0.00000051741713416603*x + 0.00002721456879608080)*x + 0.00053418601865636800)*x + 0.00464101989351936000)*x + 0.01507447981459420000;
+ return 0;
+}
+
+/*
+/////////////////////////////////////////////////////////////////
+// LOOKUP()
+//
+// Computes log (exp (x) + 1), for 0 <= x <= 7.5.
+/////////////////////////////////////////////////////////////////
+
+inline ScoreType LOOKUP (ScoreType x){
+ //return log (exp(x) + 1);
+ if (x < 2){
+ if (x < 0.5){
+ if (x < 0)
+ return log (exp(x) + 1);
+ return (((-0.00486373205785640000*x - 0.00020245408813934800)*x + 0.12504222666029800000)*x + 0.49999685320563000000)*x + 0.69314723138948900000;
+ }
+ if (x < 1)
+ return (((-0.00278634205460548000*x - 0.00458097251248546000)*x + 0.12865849880472500000)*x + 0.49862228499205200000)*x + 0.69334810088688000000;
+ return (((0.00059633755154209200*x - 0.01918996666063320000)*x + 0.15288232492093800000)*x + 0.48039958825756900000)*x + 0.69857578503189200000;
+ }
+ if (x < 8){
+ if (x < 4)
+ return (((0.00135958539181047000*x - 0.02329807659316430000)*x + 0.15885799609532100000)*x + 0.48167498563270800000)*x + 0.69276185058669200000;
+ return (((0.00011992394456683500*x - 0.00338464503306568000)*x + 0.03622746366545470000)*x + 0.82481250248383700000)*x + 0.32507892994863100000;
+ }
+ if (x < 16)
+ return (((0.00000051726300753785*x - 0.00002720671238876090)*x + 0.00053403733818413500)*x + 0.99536021775747900000)*x + 0.01507065715532010000;
+ return x;
+}
+
+/////////////////////////////////////////////////////////////////
+// LOOKUP_SLOW()
+//
+// Computes log (exp (x) + 1).
+/////////////////////////////////////////////////////////////////
+
+inline ScoreType LOOKUP_SLOW (ScoreType x){
+ return log (exp (x) + 1);
+}
+
+/////////////////////////////////////////////////////////////////
+// MAX()
+//
+// Compute max of three numbers
+/////////////////////////////////////////////////////////////////
+
+inline ScoreType MAX (ScoreType x, ScoreType y, ScoreType z){
+ if (x >= y){
+ if (x >= z)
+ return x;
+ return z;
+ }
+ if (y >= z)
+ return y;
+ return z;
+}
+
+/////////////////////////////////////////////////////////////////
+// LOG_PLUS_EQUALS()
+//
+// Add two log probabilities and store in the first argument
+/////////////////////////////////////////////////////////////////
+
+inline void LOG_PLUS_EQUALS (ScoreType &x, ScoreType y){
+ if (x < y)
+ x = (x <= LOG_ZERO) ? y : LOOKUP(y-x) + x;
+ else
+ x = (y <= LOG_ZERO) ? x : LOOKUP(x-y) + y;
+}
+
+/////////////////////////////////////////////////////////////////
+// LOG_PLUS_EQUALS_SLOW()
+//
+// Add two log probabilities and store in the first argument
+/////////////////////////////////////////////////////////////////
+
+inline void LOG_PLUS_EQUALS_SLOW (ScoreType &x, ScoreType y){
+ if (x < y)
+ x = (x <= LOG_ZERO) ? y : LOOKUP_SLOW(y-x) + x;
+ else
+ x = (y <= LOG_ZERO) ? x : LOOKUP_SLOW(x-y) + y;
+}
+
+/////////////////////////////////////////////////////////////////
+// LOG_ADD()
+//
+// Add two log probabilities
+/////////////////////////////////////////////////////////////////
+
+inline ScoreType LOG_ADD (ScoreType x, ScoreType y){
+ if (x < y) return (x <= LOG_ZERO) ? y : LOOKUP(y-x) + x;
+ return (y <= LOG_ZERO) ? x : LOOKUP(x-y) + y;
+}
+*/
+
+/*
+/////////////////////////////////////////////////////////////////
+// LOG()
+//
+// Compute the logarithm of x.
+/////////////////////////////////////////////////////////////////
+
+inline float LOG (float x){
+ return log (x);
+}
+
+/////////////////////////////////////////////////////////////////
+// EXP()
+//
+// Computes exp(x), fr -4.6 <= x <= 0.
+/////////////////////////////////////////////////////////////////
+
+inline float EXP (float x){
+ assert (x <= 0.00f);
+ if (x < EXP_UNDERFLOW_THRESHOLD) return 0.0f;
+ return (((0.006349841068584 * x + 0.080775412572352) * x + 0.397982026296272) * x + 0.95279335963787f) * x + 0.995176455837312f;
+ //return (((0.00681169825657f * x + 0.08386267698832f) * x + 0.40413983195844f) * x + 0.95656674979767f) * x + 0.99556744049130f;
+}
+*/
+
+const float EXP_UNDERFLOW_THRESHOLD = -4.6;
+const float LOG_UNDERFLOW_THRESHOLD = 7.5;
+
+/////////////////////////////////////////////////////////////////
+// LOOKUP()
+//
+// Computes log (exp (x) + 1), for 0 <= x <= 7.5.
+/////////////////////////////////////////////////////////////////
+
+inline float LOOKUP (float x){
+ assert (x >= 0.00f);
+ assert (x <= LOG_UNDERFLOW_THRESHOLD);
+ //return ((-0.00653779113685f * x + 0.09537236626558f) * x + 0.55317574459331f) * x + 0.68672959851568f;
+ if (x <= 1.00f) return ((-0.009350833524763f * x + 0.130659527668286f) * x + 0.498799810682272f) * x + 0.693203116424741f;
+ if (x <= 2.50f) return ((-0.014532321752540f * x + 0.139942324101744f) * x + 0.495635523139337f) * x + 0.692140569840976f;
+ if (x <= 4.50f) return ((-0.004605031767994f * x + 0.063427417320019f) * x + 0.695956496475118f) * x + 0.514272634594009f;
+ assert (x <= LOG_UNDERFLOW_THRESHOLD);
+ return ((-0.000458661602210f * x + 0.009695946122598f) * x + 0.930734667215156f) * x + 0.168037164329057f;
+
+ //return (((0.00089738532761f * x - 0.01859488697982f) * x + 0.14415772028626f) * x + 0.49515490689159f) * x + 0.69311928966454f;
+}
+
+/////////////////////////////////////////////////////////////////
+// LOOKUP_SLOW()
+//
+// Computes log (exp (x) + 1).
+/////////////////////////////////////////////////////////////////
+
+inline float LOOKUP_SLOW (float x){
+ return log (exp (x) + 1);
+}
+
+/////////////////////////////////////////////////////////////////
+// MAX()
+//
+// Compute max of three numbers
+/////////////////////////////////////////////////////////////////
+
+inline float MAX (float x, float y, float z){
+ if (x >= y){
+ if (x >= z)
+ return x;
+ return z;
+ }
+ if (y >= z)
+ return y;
+ return z;
+}
+
+/////////////////////////////////////////////////////////////////
+// LOG_PLUS_EQUALS()
+//
+// Add two log probabilities and store in the first argument
+/////////////////////////////////////////////////////////////////
+
+inline void LOG_PLUS_EQUALS (float &x, float y){
+ if (x < y)
+ x = (x == LOG_ZERO || y - x >= LOG_UNDERFLOW_THRESHOLD) ? y : LOOKUP(y-x) + x;
+ else
+ x = (y == LOG_ZERO || x - y >= LOG_UNDERFLOW_THRESHOLD) ? x : LOOKUP(x-y) + y;
+}
+
+/////////////////////////////////////////////////////////////////
+// LOG_PLUS_EQUALS_SLOW()
+//
+// Add two log probabilities and store in the first argument
+/////////////////////////////////////////////////////////////////
+
+inline void LOG_PLUS_EQUALS_SLOW (float &x, float y){
+ if (x < y)
+ x = (x == LOG_ZERO) ? y : LOOKUP_SLOW(y-x) + x;
+ else
+ x = (y == LOG_ZERO) ? x : LOOKUP_SLOW(x-y) + y;
+}
+
+/////////////////////////////////////////////////////////////////
+// LOG_ADD()
+//
+// Add two log probabilities
+/////////////////////////////////////////////////////////////////
+
+inline float LOG_ADD (float x, float y){
+ if (x < y) return (x == LOG_ZERO || y - x >= LOG_UNDERFLOW_THRESHOLD) ? y : LOOKUP(y-x) + x;
+ return (y == LOG_ZERO || x - y >= LOG_UNDERFLOW_THRESHOLD) ? x : LOOKUP(x-y) + y;
+}
+
+
+/////////////////////////////////////////////////////////////////
+// LOG_ADD()
+//
+// Add three log probabilities
+/////////////////////////////////////////////////////////////////
+
+inline float LOG_ADD (float x1, float x2, float x3){
+ return LOG_ADD (x1, LOG_ADD (x2, x3));
+}
+
+/////////////////////////////////////////////////////////////////
+// LOG_ADD()
+//
+// Add four log probabilities
+/////////////////////////////////////////////////////////////////
+
+inline float LOG_ADD (float x1, float x2, float x3, float x4){
+ return LOG_ADD (x1, LOG_ADD (x2, LOG_ADD (x3, x4)));
+}
+
+/////////////////////////////////////////////////////////////////
+// LOG_ADD()
+//
+// Add five log probabilities
+/////////////////////////////////////////////////////////////////
+
+inline float LOG_ADD (float x1, float x2, float x3, float x4, float x5){
+ return LOG_ADD (x1, LOG_ADD (x2, LOG_ADD (x3, LOG_ADD (x4, x5))));
+}
+
+/////////////////////////////////////////////////////////////////
+// LOG_ADD()
+//
+// Add siz log probabilities
+/////////////////////////////////////////////////////////////////
+
+inline float LOG_ADD (float x1, float x2, float x3, float x4, float x5, float x6){
+ return LOG_ADD (x1, LOG_ADD (x2, LOG_ADD (x3, LOG_ADD (x4, LOG_ADD (x5, x6)))));
+}
+
+/////////////////////////////////////////////////////////////////
+// LOG_ADD()
+//
+// Add seven log probabilities
+/////////////////////////////////////////////////////////////////
+
+inline float LOG_ADD (float x1, float x2, float x3, float x4, float x5, float x6, float x7){
+ return LOG_ADD (x1, LOG_ADD (x2, LOG_ADD (x3, LOG_ADD (x4, LOG_ADD (x5, LOG_ADD (x6, x7))))));
+}
+
+/////////////////////////////////////////////////////////////////
+// ChooseBestOfThree()
+//
+// Store the largest of three values x1, x2, and x3 in *x. Also
+// if xi is the largest value, then store bi in *b.
+/////////////////////////////////////////////////////////////////
+
+inline void ChooseBestOfThree (float x1, float x2, float x3, char b1, char b2, char b3, float *x, char *b){
+ if (x1 >= x2){
+ if (x1 >= x3){
+ *x = x1;
+ *b = b1;
+ return;
+ }
+ *x = x3;
+ *b = b3;
+ return;
+ }
+ if (x2 >= x3){
+ *x = x2;
+ *b = b2;
+ return;
+ }
+ *x = x3;
+ *b = b3;
+}
+
+#endif
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