From bfe89b05db3a6987c7f2bdf56d06cd2c51ffdd47 Mon Sep 17 00:00:00 2001 From: Somdev Sangwan Date: Sun, 20 Jan 2019 15:16:39 +0530 Subject: [PATCH] Delete erfc.py --- modules/erfc.py | 212 ------------------------------------------------ 1 file changed, 212 deletions(-) delete mode 100644 modules/erfc.py diff --git a/modules/erfc.py b/modules/erfc.py deleted file mode 100644 index e9e7ee2..0000000 --- a/modules/erfc.py +++ /dev/null @@ -1,212 +0,0 @@ -from math import * - -tiny= 1e-300 -half= 5.00000000000000000000e-01 -one = 1.00000000000000000000e+00 -two = 2.00000000000000000000e+00 -erx = 8.45062911510467529297e-01 - -## Coefficients for approximation to erf on [0,0.84375] - -efx = 1.28379167095512586316e-01 -efx8= 1.02703333676410069053e+00 -pp0 = 1.28379167095512558561e-01 -pp1 = -3.25042107247001499370e-01 -pp2 = -2.84817495755985104766e-02 -pp3 = -5.77027029648944159157e-03 -pp4 = -2.37630166566501626084e-05 -qq1 = 3.97917223959155352819e-01 -qq2 = 6.50222499887672944485e-02 -qq3 = 5.08130628187576562776e-03 -qq4 = 1.32494738004321644526e-04 -qq5 = -3.96022827877536812320e-06 - -def erf1(x): - '''erf(x) for x in [0,0.84375]''' - e, i = frexp(x) - if abs(i)>28: - if abs(i)>57: - return 0.125*(8.0*x+efx8*x) - return x + efx*x - z = x*x - r = pp0+z*(pp1+z*(pp2+z*(pp3+z*pp4))) - s = one+z*(qq1+z*(qq2+z*(qq3+z*(qq4+z*qq5)))) - y = r/s - return x + x*y - -def erfc1(x): - '''erfc(x)for x in [0,0.84375]''' - e,i = frexp(x) - if abs(i)>56: - return one-x - z = x*x - r = pp0+z*(pp1+z*(pp2+z*(pp3+z*pp4))) - s = one+z*(qq1+z*(qq2+z*(qq3+z*(qq4+z*qq5)))) - y = r/s - if (x<0.25): - return one-(x+x*y) - else: - r = x*y - r += (x-half) - return half - r - -## Coefficients for approximation to erf in [0.84375,1.25] - -pa0 = -2.36211856075265944077e-03 -pa1 = 4.14856118683748331666e-01 -pa2 = -3.72207876035701323847e-01 -pa3 = 3.18346619901161753674e-01 -pa4 = -1.10894694282396677476e-01 -pa5 = 3.54783043256182359371e-02 -pa6 = -2.16637559486879084300e-03 -qa1 = 1.06420880400844228286e-01 -qa2 = 5.40397917702171048937e-01 -qa3 = 7.18286544141962662868e-02 -qa4 = 1.26171219808761642112e-01 -qa5 = 1.36370839120290507362e-02 -qa6 = 1.19844998467991074170e-02 - -def erf2(x): - '''erf(x) for x in [0.84375,1.25]''' - s = fabs(x)-one - P = pa0+s*(pa1+s*(pa2+s*(pa3+s*(pa4+s*(pa5+s*pa6))))) - Q = one+s*(qa1+s*(qa2+s*(qa3+s*(qa4+s*(qa5+s*qa6))))) - if x>=0: - return erx + P/Q - return -erx - P/Q - -def erfc2(x): - '''erfc(x) for x in [0.84375, 1.25]''' - return one-erf2(x) - -## Coefficients for approximation to erfc in [1.25,1/0.35] - -ra0 = -9.86494403484714822705e-03 -ra1 = -6.93858572707181764372e-01 -ra2 = -1.05586262253232909814e+01 -ra3 = -6.23753324503260060396e+01 -ra4 = -1.62396669462573470355e+02 -ra5 = -1.84605092906711035994e+02 -ra6 = -8.12874355063065934246e+01 -ra7 = -9.81432934416914548592e+00 -sa1 = 1.96512716674392571292e+01 -sa2 = 1.37657754143519042600e+02 -sa3 = 4.34565877475229228821e+02 -sa4 = 6.45387271733267880336e+02 -sa5 = 4.29008140027567833386e+02 -sa6 = 1.08635005541779435134e+02 -sa7 = 6.57024977031928170135e+00 -sa8 = -6.04244152148580987438e-02 - -def erf3(x): - '''erf(x) for x in [1.25,2.857142]''' - x0=x - x = fabs(x) - s = one/(x*x) - R=ra0+s*(ra1+s*(ra2+s*(ra3+s*(ra4+s*(ra5+s*(ra6+s*ra7)))))) - S=one+s*(sa1+s*(sa2+s*(sa3+s*(sa4+s*(sa5+s*(sa6+s*(sa7+s*sa8))))))) - z = ldexp(x0,0) - r = exp(-z*z-0.5625)*exp((z-x)*(z+x)+R/S) - if(x0>=0): - return one-r/x - else: - return r/x-one; - -def erfc3(x): - '''erfc(x) for x in [1.25,1/0.35]''' - return one-erf3(x) - -## Coefficients for approximation to erfc in [1/.35,28] - -rb0 = -9.86494292470009928597e-03 -rb1 = -7.99283237680523006574e-01 -rb2 = -1.77579549177547519889e+01 -rb3 = -1.60636384855821916062e+02 -rb4 = -6.37566443368389627722e+02 -rb5 = -1.02509513161107724954e+03 -rb6 = -4.83519191608651397019e+02 -sb1 = 3.03380607434824582924e+01 -sb2 = 3.25792512996573918826e+02 -sb3 = 1.53672958608443695994e+03 -sb4 = 3.19985821950859553908e+03 -sb5 = 2.55305040643316442583e+03 -sb6 = 4.74528541206955367215e+02 -sb7 = -2.24409524465858183362e+01 - -def erf4(x): - '''erf(x) for x in [1/.35,6]''' - x0=x - x = fabs(x) - s = one/(x*x) - R=rb0+s*(rb1+s*(rb2+s*(rb3+s*(rb4+s*(rb5+s*rb6))))) - S=one+s*(sb1+s*(sb2+s*(sb3+s*(sb4+s*(sb5+s*(sb6+s*sb7)))))) - z = ldexp(x0,0) - r = exp(-z*z-0.5625)*exp((z-x)*(z+x)+R/S) - if(z>=0): - return one-r/x - else: - return r/x-one; - -def erfc4(x): - '''erfc(x) for x in [2.857142,6]''' - return one-erf4(x) - -def erf5(x): - '''erf(x) for |x| in [6,inf)''' - if x>0: - return one-tiny - return tiny-one - -def erfc5(x): - '''erfc(x) for |x| in [6,inf)''' - if (x>0): - return tiny*tiny - return two-tiny - -############# -##inf = float('inf') -##nan = float('nan') -########### -inf = float(9e999) - -def Erf(x): - '''return the error function of x''' - f = float(x) - if (f == inf): - return 1.0 - elif (f == -inf): - return -1.0 -## elif (f is nan): -## return nan - else: - if (abs(x)<0.84375): - return erf1(x) - elif (0.84375<=abs(x)<1.25): - return erf2(x) - elif (1.25<=abs(x)<2.857142): - return erf3(x) - elif (2.857142<=abs(x)<6): - return erf4(x) - elif (abs(x)>=6): - return erf5(x) - -def Erfc(x): - '''return the complementary of error function of x''' - f = float(x) - if (f == inf): - return 0.0 - elif (f is -inf): - return 2.0 -## elif (f == nan): -## return nan - else: - if (abs(x)<0.84375): - return erfc1(x) - elif (0.84375<=abs(x)<1.25): - return erfc2(x) - elif (1.25<=abs(x)<2.857142): - return erfc3(x) - elif (2.857142<=abs(x)<6): - return erfc4(x) - elif (abs(x)>=6): - return erfc5(x)