CasEqual: Answer test results
This page exposes the results of running answer tests on STACK test cases. This page is automatically generated from the STACK unit tests and is designed to show question authors what answer tests actually do. This includes cases where answer tests currentl fail, which gives a negative expected mark. Comments and further test cases are very welcome.
CasEqual
| Test | ? | Student response | Teacher answer | Opt | Mark | Answer note | |
|---|---|---|---|---|---|---|---|
| CasEqual | 1/0 |
x^2-2*x+1 |
-1 | ATCASEqual_STACKERROR_SAns. | |||
| CasEqual | x |
1/0 |
-1 | ATCASEqual_STACKERROR_TAns. | |||
| CasEqual | 0.5 |
1/2 |
x |
0 | ATCASEqual (AlgEquiv-true). | ||
| CasEqual | x=1 |
1 |
0 | ATCASEqual ATAlgEquiv_TA_not_equation. | |||
| You have entered an equation, but an equation is not expected here. You may have typed something like "y=2*x+1" when you only needed to type "2*x+1". | |||||||
| Case sensitivity | |||||||
| CasEqual | a |
A |
0 | ATCASEqual_false. | |||
| CasEqual | exdowncase(X^2-2*X+1) |
x^2-2*x+1 |
1 | ATCASEqual_true. | |||
| Numbers | |||||||
| CasEqual | 4^(-1/2) |
1/2 |
0 | ATCASEqual (AlgEquiv-true). | |||
| CasEqual | ev(4^(-1/2),simp) |
ev(1/2,simp) |
1 | ATCASEqual_true. | |||
| CasEqual | 2^2 |
4 |
0 | ATCASEqual (AlgEquiv-true). | |||
| Unary plus | |||||||
| CasEqual | +1-2 |
1-2 |
0 | ATCASEqual (AlgEquiv-true). | |||
| Powers | |||||||
| CasEqual | a^2/b^3 |
a^2*b^(-3) |
0 | ATCASEqual (AlgEquiv-true). | |||
| Expressions with subscripts | |||||||
| CasEqual | rho*z*V/(4*pi*epsilon[0]*(R^2+ z^2)^(3/2)) |
rho*z*V/(4*pi*epsilon[0]*(R^2+ z^2)^(3/2)) |
1 | ATCASEqual_true. | |||
| CasEqual | rho*z*V/(4*pi*epsilon[1]*(R^2+ z^2)^(3/2)) |
rho*z*V/(4*pi*epsilon[0]*(R^2+ z^2)^(3/2)) |
0 | ATCASEqual_false. | |||
| Mix of floats and rational numbers | |||||||
| CasEqual | 0.5 |
1/2 |
0 | ATCASEqual (AlgEquiv-true). | |||
| CasEqual | x^(1/2) |
sqrt(x) |
0 | ATCASEqual (AlgEquiv-true). | |||
| CasEqual | ev(x^(1/2),simp) |
ev(sqrt(x),simp) |
1 | ATCASEqual_true. | |||
| CasEqual | abs(x) |
sqrt(x^2) |
0 | ATCASEqual (AlgEquiv-true). | |||
| CasEqual | ev(abs(x),simp) |
ev(sqrt(x^2),simp) |
1 | ATCASEqual_true. | |||
| CasEqual | x-1 |
(x^2-1)/(x+1) |
0 | ATCASEqual (AlgEquiv-true). | |||
| Polynomials and rational function | |||||||
| CasEqual | x+x |
2*x |
0 | ATCASEqual (AlgEquiv-true). | |||
| CasEqual | ev(x+x,simp) |
ev(2*x,simp) |
1 | ATCASEqual_true. | |||
| CasEqual | x+x^2 |
x^2+x |
0 | ATCASEqual (AlgEquiv-true). | |||
| CasEqual | ev(x+x^2,simp) |
ev(x^2+x,simp) |
1 | ATCASEqual_true. | |||
| CasEqual | (x-1)^2 |
x^2-2*x+1 |
0 | ATCASEqual (AlgEquiv-true). | |||
| CasEqual | (x-1)^(-2) |
1/(x^2-2*x+1) |
0 | ATCASEqual (AlgEquiv-true). | |||
| CasEqual | 1/n-1/(n+1) |
1/(n*(n+1)) |
0 | ATCASEqual (AlgEquiv-true). | |||
| Trig functions | |||||||
| CasEqual | cos(x) |
cos(-x) |
0 | ATCASEqual (AlgEquiv-true). | |||
| CasEqual | ev(cos(x),simp) |
ev(cos(-x),simp) |
1 | ATCASEqual_true. | |||
| CasEqual | cos(x)^2+sin(x)^2 |
1 |
0 | ATCASEqual (AlgEquiv-true). | |||
| CasEqual | 2*cos(x)^2-1 |
cos(2*x) |
0 | ATCASEqual (AlgEquiv-true). | |||
| Predicate function wrapper | |||||||
| CasEqual | imag_numberp(2*%i) |
true |
1 | ATCASEqual_true. | |||
| CasEqual | imag_numberp(%e^(%i*%pi/2)) |
true |
1 | ATCASEqual_true. | |||
| CasEqual | imag_numberp(2) |
false |
1 | ATCASEqual_true. | |||
| CasEqual | imag_numberp(%e^(%pi/2)) |
false |
1 | ATCASEqual_true. | |||
| CasEqual | complex_exponentialp(3*%e^(%i* %pi/6)) |
true |
1 | ATCASEqual_true. | |||
| CasEqual | complex_exponentialp(3) |
true |
1 | ATCASEqual_true. | |||
| CasEqual | complex_exponentialp(%e^(%i*%p i/6)) |
true |
1 | ATCASEqual_true. | |||
| CasEqual | complex_exponentialp(%e^%i) |
true |
1 | ATCASEqual_true. | |||
| CasEqual | complex_exponentialp(%e^(%pi/6 )) |
true |
1 | ATCASEqual_true. | |||
| CasEqual | complex_exponentialp(3+%i) |
false |
1 | ATCASEqual_true. | |||
| CasEqual | complex_exponentialp(%e^(%i)/4 ) |
true |
1 | ATCASEqual_true. | |||
| CasEqual | complex_exponentialp(3*exp(%i* %pi/6)) |
true |
1 | ATCASEqual_true. | |||
| CasEqual | integerp(-1) |
true |
0 | ATCASEqual_false. | |||
| CasEqual | integerp(ev(-1,simp)) |
true |
1 | ATCASEqual_true. | |||