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Solution 161717

Submitted on 13 Nov 2012

Incorrect

69Size
Leading solution size is 30.
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Test Suite

Test
Code Input and Output
1
Pass
 
%% Simple Trapezoidal Rule
p=[2 0 -4 0 -1 1];
a=-2;
b=4;
f = @(x) polyval(p,x);
assert(isequal(trapezoidal_rule(f,a,b,1),5280))

                    
2
Fail
 
%% Composite Trapezoidal Rule for 2 intervals
p=[2 0 -4 0 -1 1];
a=-2;
b=4;
f = @(x) polyval(p,x);
assert(isequal(trapezoidal_rule(f,a,b,2),2634))
Error: Assertion failed.
3
Fail
 
%% Composite Trapezoidal Rule for 4 intervals
p=[2 0 -4 0 -1 1];
a=-2;
b=4;
f = @(x) polyval(p,x);
assert(isequal(trapezoidal_rule(f,a,b,4),1516.875))
Error: Assertion failed.
4
Fail
 
%% Exact analytical comparison
p=[2 0 -4 0 -1 1];
a=-2;
b=4;
f = @(x) polyval(p,x);
P=polyint(p);
I_correct=polyval(P,b)-polyval(P,a);
I=trapezoidal_rule(f,a,b);
assert(abs(I-I_correct)<1)
Error: Not enough input arguments.
5
Fail
 
%% Exact analytical comparison--higher tolerance
p=[2 0 -4 0 -1 1];
a=-2;
b=4;
f = @(x) polyval(p,x);
I = trapezoidal_rule(f,a,b,1000);
P=polyint(p);
I_correct=polyval(P,b)-polyval(P,a);
assert(abs(trapezoidal_rule(f,a,b,1000)-I_correct)<1e-1)
Error: Assertion failed.