ref: e1633ed338bbac32b1364b9d8a7f365efa4c3778
dir: /sys/lib/bclib/
scale = 50 define e(x) { auto a, b, c, d, e, g, w, y, t, r r = ibase ibase = A t = scale scale = t + .434*x + 1 w = 0 if(x<0) { x = -x w = 1 } y = 0 while(x>2) { x /= 2 y++ } a = 1 b = 1 c = b d = 1 e = 1 for(a=1; 1; a++) { b *= x c = c*a+b d *= a g = c/d if(g == e) { g = g/1 while(y--) { g *= g } scale = t if(w==1) { ibase = r return 1/g } ibase = r return g/1 } e = g } } define l(x) { auto a, b, c, d, e, f, g, u, s, t, r, z r = ibase ibase = A if(x <= 0) { z = 1-10^scale ibase = r return z } t = scale f = 1 scale += scale(x) - length(x) + 1 s = scale while(x > 2) { s += (length(x)-scale(x))/2 + 1 if(s>0) { scale = s } x = sqrt(x) f *= 2 } while(x < .5) { s += (length(x)-scale(x))/2 + 1 if(s>0) { scale = s } x = sqrt(x) f *= 2 } scale = t + length(f) - scale(f) + 1 u = (x-1)/(x+1) scale += 1.1*length(t) - 1.1*scale(t) s = u*u b = 2*f c = b d = 1 e = 1 for(a=3; 1; a=a+2){ b *= s c = c*a + d*b d *= a g = c/d if(g==e) { scale = t ibase = r return u*c/d } e = g } } define s(x) { auto a, b, c, s, t, y, p, n, i, r r = ibase ibase = A t = scale y = x/.7853 s = t + length(y) - scale(y) if(s<t) { s = t } scale = s p = a(1) scale = 0 if(x>=0) { n = (x/(2*p)+1)/2 } if(x<0) { n = (x/(2*p)-1)/2 } x -= 4*n*p if(n%2 != 0) { x = -x } scale = t + length(1.2*t) - scale(1.2*t) y = -x*x a = x b = 1 s = x for(i=3; 1; i+=2) { a *= y b *= i*(i-1) c = a/b if(c==0){ scale = t ibase = r return s/1 } s += c } } define c(x) { auto t, r r = ibase ibase = A t = scale scale = scale+1 x = s(x + 2*a(1)) scale = t ibase = r return x/1 } define a(x) { auto a, b, c, d, e, f, g, s, t, r, z r = ibase ibase = A if(x==0) { return 0 } if(x==1) { z = .7853981633974483096156608458198757210492923498437764/1 ibase = r if(scale<52) { return z } } t = scale f = 1 while(x > .5) { scale++ x = -(1 - sqrt(1.+x*x))/x f *= 2 } while(x < -.5) { scale++ x = -(1 - sqrt(1.+x*x))/x f *= 2 } s = -x*x b = f c = f d = 1 e = 1 for(a=3; 1; a+=2) { b *= s c = c*a + d*b d *= a g = c/d if(g==e) { scale = t ibase = r return x*c/d } e = g } } define j(n,x) { auto a,b,c,d,e,g,i,s,k,t,r r = ibase ibase = A t = scale k = 1.36*x + 1.16*t - n k = length(k) - scale(k) if(k>0) { scale += k } s = -x*x/4 if(n<0) { n = -n x = -x } a = 1 c = 1 for(i=1; i<=n; i++) { a *= x c *= 2*i } b = a d = 1 e = 1 for(i=1; 1; i++) { a *= s b = b*i*(n+i) + a c *= i*(n+i) g = b/c if(g==e) { scale = t ibase = r return g/1 } e = g } }