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Nasal-Interpreter
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Complete math.nas

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Valk Richard Li 2019-11-16 22:08:01 +08:00 committed by GitHub
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commit a2a6ca2f58
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balloon/lib/math.nas
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@ -1,4 +1,6 @@
var pi=3.14159265358979; var pi=3.14159265358979;
var ln_2=0.69314718055994530942;
var ln_10=2.30258509299404568402;
var abs=func(__x) var abs=func(__x)
{ {
@ -97,3 +99,46 @@ var tan=func(__x)
{ {
return sin(__x)/cos(__x); return sin(__x)/cos(__x);
}; };
var sqrt=func(__x)
{
if(__x>100){return 10*sqrt(__x/100);}
var t=__x/8+0.5+2*__x/(4+__x);
var c=10;
while(c>0)
{
t=(t+__x/t)/2;
c-=1;
}
return t;
};
var __balloon_lib_asin_asr=func(__x,__y)
{
var __mid=(__x+__y)/2;
if(abs(__y-__x)<=0.01){return (1/sqrt(1-__x*__x)+4/sqrt(1-__mid*__mid)+1/sqrt(1-__y*__y))*(__y-__x)/6;}
return __balloon_lib_asin_asr(__x,__mid)+__balloon_lib_asin_asr(__mid,__y);
};
var asin=func(__x)
{
if(abs(__x)>1){return -1;}
var fl=1;
if(__x<0){fl=-fl;__x=-__x;}
if(abs(__x-1)<0.001){return pi/2;}
return fl*__balloon_lib_asin_asr(0,__x);
};
var acos=func(__x)
{
if(abs(__x)>1) {return -1;}
return pi/2-asin(__x);
};
var atan=func(__x)
{
if(__x<0){return -atan(-__x);}
if(__x>1){return pi/2-atan(1/__x);}
if(__x>0.001){return 2*atan((sqrt(1+__x*__x)-1)/__x);}
return __x*(1-__x*__x*(1/3+__x*__x*(1/5-__x*__x*(1/7+__x*__x/9))));
};