diff --git a/balloon/lib/math.nas b/balloon/lib/math.nas deleted file mode 100644 index 7f2c3b6..0000000 --- a/balloon/lib/math.nas +++ /dev/null @@ -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)))); -}; \ No newline at end of file