# how to find values are within tol of on another or not?

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Commented: Voss on 29 Dec 2021
i have the following code
that perform left sum and definate integral i have done it now i want to generate the output 1 if thes two valuse(leftsum and integral) are within tol of one another otherwise output 0
in myleftsum fuction f is function handel ,a and b are the real numbers a<b and n is an integer, tol is the positive number
function output=myleftcheck(f,a,b,n,tol)
syms x
dx=(b-a)/n;
% initialize r to f(a) (the left-end point of the first sub-interval
% [a,a+dx])
r=0;
% need only consider the n-1 remaining sub-intervals
for k=0:n-1
c=a+k*dx;
r=r+f(c);
end
t=(dx*r);
y=t
o=int(f(x),a,b)
if (o<=tol) & (tol<=t)
output=1
else
if (t<=tol) & (tol<=o)
output=1
else
output=0
end
end
code is runnnig but output is not coming correct
for
myleftcheck(@(x) sin(x),0,3.14,10,0.001)
output=1
for
myleftcheck(@(x) sin(x),0,3.14,10,0.001)
output=0
Voss on 29 Dec 2021
You are calling myleftcheck two times with the same inputs and getting two different results? That's not what I get:
myleftcheck(@(x) sin(x),0,3.14,10,0.001)
y = 1.9833
o =
output = 0
ans = 0
myleftcheck(@(x) sin(x),0,3.14,10,0.001)
y = 1.9833
o =
output = 0
ans = 0
function output=myleftcheck(f,a,b,n,tol)
syms x
dx=(b-a)/n;
% initialize r to f(a) (the left-end point of the first sub-interval
% [a,a+dx])
r=0;
% need only consider the n-1 remaining sub-intervals
for k=0:n-1
c=a+k*dx;
r=r+f(c);
end
t=(dx*r);
y=t
o=int(f(x),a,b)
if (o<=tol) & (tol<=t)
output=1
else
if (t<=tol) & (tol<=o)
output=1
else
output=0
end
end
end
Can you check that you have specified the two calls to myleftcheck correctly?