Delphi mathematical operation function
Author:lyboy99
e-mail:[email protected]
url: http://hnh.126.com
Here are some common functions for you, I hope they can be helpful to you.
You can easily design a powerful scientific calculation machine using the following functions.
function rnd(arg1:double):double;
Begin
result := Random * int(arg1);
end;
function arcsinh(arg1:double):double;
begin
result:=Ln(arg1+sqrt(1+power(arg1,2)));
end;
function arccosh(arg1:double):double;
begin
result :=Ln(arg1+sqrt(power(arg1,2)-1));
end;
function arctanh(arg1:double):double;
begin
result :=Ln((1+arg1)/(1-arg1))/2;
end;
function arcsech(arg1:double):double;
begin
result :=Ln((1/arg1)+sqrt(power((1/arg1),2)-1));
end;
function arccosech(arg1:double):double;
begin
result :=Ln((1/arg1)+sqrt(1+power((1/arg1),2)));
end;
function arccoth(arg1:double):double;
begin
result :=Ln((1+(1/arg1))/(1-(1/arg1)))/2;
end;
function degarcsin(arg1:double):double;
begin
result :=arcsin(DegToRad(arg1));
end;
function arcsec(arg1:double):double;
begin
result := arccos(1/arg1);
end;
function degarcsec(arg1:double):double;
begin
result := RadToDeg(arccos(1/arg1));
end;
function arccosec(arg1:double):double;
begin
result := arcsin(1/arg1);
end;
function degarccosec(arg1:double):double;
begin
result := RadToDeg(arcsin(1/arg1));
end;
function degarccos(arg1:double):double;
begin
result :=arccos(DegToRad(arg1));
end;
function arccot(arg1:double):double;
begin
result := arctan(1/arg1);
end;
function degarccot(arg1:double):double;
begin
result := RadToDeg(arctan(1/arg1));
end;
function cosech(arg1:double):double;
begin
result := 2/(exp(arg1)-exp(-arg1));
end;
function sech(arg1:double):double;
begin
result := 2/(exp(arg1)+exp(-arg1));
end;
function tanh(arg1:double):double;
begin
result := (exp(arg1)-exp(arg1))/(exp(arg1)+exp(-arg1));
end;
function coth(arg1:double):double;
begin
result := (exp(arg1)+exp(arg1))/(exp(arg1)-exp(-arg1));
end;
function degarctan(arg1:double):double;
begin
result:= RadToDeg(arctan(arg1));
end;
function arg(arg1,arg2:double):double;
begin
if arg1 < 0 then
result := arctan(arg2/arg1)+Pi
else
if arg1>0 then
result := arctan(arg2/arg1)
else
if arg2 > 0 then
result := 0.5 * Pi
else
result := -0.5 * Pi;
end;
function sinh(arg1:double):double;
begin
result := (exp(arg1)-exp(-arg1))*0.5;
end;
function cosh(arg1:double):double;
begin
result := (exp(arg1)+exp(-arg1))*0.5;
end;
function cot(arg1:double):double;
begin
if Abs(arg1)>0.000000001 then result := cotan(arg1) else result :=100000;
end;
function cotrad(arg1:double):double;
begin
result := cotan(DegToRad(arg1));
end;
function sec(arg1:double):double;
begin
result := 1/cos(arg1);
end;
function cosec(arg1:double):double;
begin
if Abs(arg1)>0.000000001 then result:= 1/sin(arg1) else result:=1000000;
end;
function tanrad(arg1:double):double;
begin
result := tan(DegToRad(arg1));
end;
function sinrad(arg1:double):double;
begin
result := sin(DegToRad(arg1));
end;
function cosrad(arg1:double):double;
begin
result := cos(DegToRad(arg1));
end;
function cosecrad(arg1:double):double;
begin
result := 1/sin(DegToRad(arg1));
end;
function secrad(arg1:double):double;
begin
result:= 1/cos(DegToRad(arg1));
end;
function blanc(arg1:double):double;
Var
temp,res:extended;
count:integer;
begin
Begin
res:=0;
for count := 0 to 49 do
begin
arg1:=arg1-int(arg1-(Ord(arg1<0)));
if (arg1)<0.5 then temp:=(arg1) else temp:=(1-arg1);
res:=res+ temp/(power(2,count));
arg1:=2*arg1;
end;
end;
result:=res;
end;
function min(arg1,arg2:double):double;
begin
if arg1 < arg2 then
result := arg1
else
result := arg2;
end;
function max(arg1,arg2:double):double;
begin
if arg1 < arg2 then
result := arg2
else
result := arg1;
end;
function heaviside(arg1:double):double;
begin
if arg1 < 0 then
result := 0
else
result := 1;
end;
function sign(arg1:double):double;
begin
if arg1 < 0 then
result := -1
else
if arg1 > 0 then
result := 1.0
else
result := 0.0;
end;
function zero(arg1:double):double;
begin
if arg1 = 0.0 then
result := 0.0
else
result:= 1.0;
end;
function ceil(arg1:double):double;
begin
if frac(arg1) > 0 then
result:= int(arg1 + 1)
else
result:= int(arg1);
end;
function floor(arg1:double):double;
begin
if frac(arg1) < 0 then
result:= int(arg1 - 1)
else
result:= int(arg1);
end;
function radius(arg1,arg2:double):double;
begin
result:= sqrt(sqr(arg1)+sqr(arg2));
end;