# 4.3BSD-UWisc/lib/lib.b

```/*	lib.b	4.1	83/04/02	*/

scale = 20
define e(x){
auto a, b, c, d, e, g, w, y

t = scale
scale = t + .434*x + 1

w = 0
if(x<0){
x = -x
w = 1
}
y = 0
while(x>2){
x = x/2
y = y + 1
}

a=1
b=1
c=b
d=1
e=1
for(a=1;1==1;a++){
b=b*x
c=c*a+b
d=d*a
g = c/d
if(g == e){
g = g/1
while(y--){
g = g*g
}
scale = t
if(w==1) return(1/g)
return(g/1)
}
e=g
}
}

define l(x){
auto a, b, c, d, e, f, g, u, s, t
if(x <=0) return(1-10^scale)
t = scale

f=1
scale = scale + scale(x) - length(x) + 1
s=scale
while(x > 2){
s = s + (length(x)-scale(x))/2 + 1
if(s>0) scale = s
x = sqrt(x)
f=f*2
}
while(x < .5){
s = s + (length(x)-scale(x))/2 + 1
if(s>0) scale = s
x = sqrt(x)
f=f*2
}

scale = t + length(f) - scale(f) + 1
u = (x-1)/(x+1)

scale = 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==1;a=a+2){
b=b*s
c=c*a+d*b
d=d*a
g=c/d
if(g==e){
scale = t
return(u*c/d)
}
e=g
}
}

define s(x){
auto a, b, c, s, t, y, p, n, i
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 = 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==1; i=i+2){
a = a*y
b = b*i*(i-1)
c = a/b
if(c==0){scale=t; return(s/1)}
s = s+c
}
}

define c(x){
auto t
t = scale
scale = scale+1
x = s(x+2*a(1))
scale = t
return(x/1)
}

define a(x){
auto a, b, c, d, e, f, g, s, t
if(x==0) return(0)
if(x==1)
if(scale<52)
return(.7853981633974483096156608458198757210492923498437764/1)
t = scale
f=1
while(x > .5){
scale = scale + 1
x= -(1-sqrt(1.+x*x))/x
f=f*2
}
while(x < -.5){
scale = scale + 1
x = -(1-sqrt(1.+x*x))/x
f=f*2
}
s = -x*x
b = f
c = f
d = 1
e = 1
for(a=3;1==1;a=a+2){
b=b*s
c=c*a+d*b
d=d*a
g=c/d
if(g==e){
scale = t
return(x*c/d)
}
e=g
}
}

define j(n,x){
auto a,b,c,d,e,g,i,s,k,t

t = scale
k = 1.36*x + 1.16*t - n
k = length(k) - scale(k)
if(k>0) scale = scale + k

s= -x*x/4
if(n<0){
n= -n
x= -x
}
a=1
c=1
for(i=1;i<=n;i++){
a=a*x
c = c*2*i
}
b=a
d=1
e=1
for(i=1;1;i++){
a=a*s
b=b*i*(n+i) + a
c=c*i*(n+i)
g=b/c
if(g==e){
scale = t
return(g/1)
}
e=g
}
}
```