xxq250
/
Nasal-Interpreter
mirror of https://github.com/ValKmjolnir/Nasal-Interpreter.git
1
0
Fork 0
Code Issues Actions 1 Packages Projects Releases Wiki Activity

Delete math.nas

This commit is contained in:
Valk Richard Li 2020-06-01 01:22:12 +08:00 committed by GitHub
parent da27e9beae
commit 540f36f617
No known key found for this signature in database
GPG Key ID: 4AEE18F83AFDEB23
1 changed files with 0 additions and 150 deletions
Show Stats Download Patch File Download Diff File Expand all files Collapse all files

150
balloon/lib/math.nas
View File

@ -1,150 +0,0 @@
# made by github user: ValKmjolnir
var pi=3.14159265358979;
var ln_2=0.69314718055994530942;
var ln_10=2.30258509299404568402;
var abs=func(__x)
{
if(__x>0){return __x;}
else{return -__x;}
};
var ln=func(_x)
{
var __balloon_lib_ln_asr=func(__left,__right,__total,eps)
{
var __mid=(__left+__right)/2;
var L=(1/__left+8/(__left+__mid)+1/__mid)*(__mid-__left)/6;
var R=(1/__mid+8/(__mid+__right)+1/__right)*(__right-__mid)/6;
if(abs(L+R-__total)<=15*eps){return L+R+(L+R-__total)/15.0;}
return __balloon_lib_ln_asr(__left,__mid,L,eps/2)+__balloon_lib_ln_asr(__mid,__right,R,eps/2);
};
return __balloon_lib_ln_asr(1,_x,(1+8/(1+_x)+1/_x)*(_x-1)/6,0.000001);
};
var log=func(__a,__x)
{
return ln(__x)/ln(__a);
};
var exp=func(__x)
{
if(__x<0){return 1/exp(-__x);}
if(__x<1){return 1+__x*(1+__x*(1/2+__x*(1/6+__x*(1/24+__x/120))));}
var __temp=exp(__x/2);
return __temp*__temp;
};
var pow=func(__x,__num)
{
if(__num==0){return 1;}
else if(__num<0){return 1/pow(__x,-__num);}
else{return exp(__num*ln(__x));}
};
# sigmoid function is a normal function used in neural networks
var sigmoid=func(__x)
{
return 1.0/(1+exp(-__x));
};
var sinh=func(__x)
{
__x=exp(x);
return (__x-1/__x)/2;
};
var cosh=func(__x)
{
__x=exp(x);
return (__x+1/__x)/2;
};
var tanh=func(__x)
{
__x=exp(__x);
return 1-2/(__x*__x+1);
};
# relu function is a normal function used in deep neural networks
var relu=func(__x)
{
if(x>=0){return __x;}
else{return 0;}
};
var sin=func(__x)
{
if(__x<0){return -1*sin(-__x);}
var fl=1;
while(__x>2*pi){__x-=2*pi;}
if(__x>pi){__x-=2*pi;}
elsif(__x<-pi){__x+=2*pi;}
if(__x>pi/2){__x-=pi;fl*=-1;}
elsif(__x<-pi/2){__x+=pi;fl*=-1;}
if(__x>pi/4){return cos(pi/2-__x);}
else{return fl*(__x*(1-__x*__x*(1/6+__x*__x*(1/120-__x*__x*(1/5040+__x*__x/362880)))));}
};
var cos=func(__x)
{
__x=abs(__x);
var fl=1;
while(__x>2*pi){__x-=2*pi;}
if(__x>pi){__x-=2*pi;}
elsif(__x<-pi){__x+=2*pi;}
if(__x>pi/2){__x-=pi;fl*=-1;}
elsif(__x<-pi/2){__x+=pi;fl*=-1;}
if(__x>pi/4){return sin(pi/2-__x);}
else{return fl*(1-__x*__x*(1/2+__x*__x*(1/24-__x*__x*(1/720+__x*__x/40320))));}
};
var tan=func(__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 asin=func(_x)
{
var __balloon_lib_asin_asr=func(__left,__right,__total,eps)
{
var __mid=(__left+__right)/2;
var L=(1/sqrt(1-__left*__left)+4/sqrt(1-(__left+__mid)*(__left+__mid)/4)+1/sqrt(1-__mid*__mid))*(__mid-__left)/6;
var R=(1/sqrt(1-__mid*__mid)+4/sqrt(1-(__right+__mid)*(__right+__mid)/4)+1/sqrt(1-__right*__right))*(__right-__mid)/6;
if(abs(L+R-__total)<=15*eps){return L+R+(L+R-__total)/15;}
return __balloon_lib_asin_asr(__left,__mid,L,eps/2)+__balloon_lib_asin_asr(__mid,__right,R,eps/2);
};
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,(1+4/sqrt(1-_x*_x/4)+1/sqrt(1-_x*_x))*_x/6,0.000001);
};
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))));
};