"Source: Text/Basics/FldRe.text";
"Line: 3782";
"Date: Thu Sep 25 14:47:46 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Basics/FldRe.text, line: 3782
// Example: H26E13 ()
print "Example: H26E13";
ei := GetEchoInput();
SetEchoInput(true);
h := RealField(1000)!(2^-10); 
N := Ceiling(7.2/h);
A_DE, W_DE := TanhSinhIntegrationPoints(N,h);
assert A_DE[1] gt -1; 
assert A_DE[2*N+1] lt 1; 
A_DE := [ (1/2)*(a+1) : a in A_DE ];
function f(z) 
   return (Exp(1-1/z) * Cos(1/z-1)/z^2); 
end function;
int_DE := (1/2) * &+[ W_DE[k] * f(A_DE[k]) : k in [1..2*N+1] ];
Abs(int_DE - 1/2) lt 10^-300;
assert $1;
SetEchoInput(ei);
