# shithub: plan9front

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```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
}
}
```