You can compile Predictor.java and ConstPredictor.java
by typing
$ javac *.javaIf you try to compile
hw1.java the compiler will give various error messages
because it will be looking for the other five classes
(which you will be writing in the course of the assignment).
Fortunately, you don't have to compile hw1.java because the compiled version
hw1.class is provided for you.
The best idea is to put hw1.java in a separate directory
and use it only as a reference; then you will not be bothered by the error messages.
You can run and test the code by typing
$ java hw1 < s01.in > s01.out $ diff s01.out s01.tgt $The
diff utility looks for differences between two files.
The fact that it returns your prompt to you without producing any output
is a good sign, because it tells you that the actual output s01.out
is the same as the target output s01.tgt.
As you write more and more of the required classes,
you should be able to compile them and test them on more of the sample inputs.
You can alternatively type the input directly from the keyboard,
followed by the Return or Enter key, followed by
^D or ^Z
(hold down the Control key and press the D or Z key,
depending on your operating system), e.g.
$ java hw1 2 2 ^D Constant [2 2 2 2 2] Arithmetic [2 2 2 2 2] Geometric [2 2 2 2 2] $Notes:
The compiled C program hw1test
has been provided for this purpose. You can run it on most of the
lab machines. In theory, it should function exactly the same way
as java hw1, e.g.
$ hw1test 1 2 3 ^D Arithmetic [4 5 6 7 8] Quadratic [4 5 6 7 8] $Similarly,
hw1btest
has been provided for testing the bonus challenge.
QuadraticPredictor
Write down equations for the first three items in the sequence
u0, u1 and u2
in terms of a, b, c.
Solve these equations simultaneously to find expressions for
a, b, c
in terms of u0, u1, u2.
HomogeneousPredictor
| u2 | = | u1 u0 | | a |, so | a | = | u1 u0 |-1 | u2 | | u3 | | u2 u1 | | b | | b | | u2 u1 | | u3 |
RecurrentPredictor
| u2 | | u1 u0 1 | | a | | a | | u1 u0 1 |-1 | u2 | | u3 | = | u2 u1 1 | | b |, so | b | = | u2 u1 1 | | u3 | | u4 | | u3 u2 1 | | c | | c | | u3 u2 1 | | u4 |Look up formulas for inverting
2x2 and 3x3 matrices.
(Note: remember to check the determinant is not zero before dividing!)
[0 0 0] be regarded as a Geometric sequence?
After some discussion we have decided that [0 0 0] should not
be regarded a Geometric sequence, because the parameter r
is not uniquely determined
(Note: hw1test has been updated accordingly).
However, this particular case will not be tested in the auto-marking.
hw1test, but it says "Permission denied" ?
In that case, you need to change the file permissions:
$ chmod a+x hw1test
Several of you have pointed out that your programs, and even hw1test,
sometimes give erroneous answers because of roundoff errors.
The best way to handle it is this: instead of checking if a number is zero,
or if two numbers are equal, you should check using Math.abs()
whether the absolute value of the number (or the difference between two numbers)
is less than some very small constant (for example, 0.000000001).
The binary file hw1test has now been modified to reflect this functionality
- please download it again if necessary.
Here is an example of what the output should be:
$ hw1test 1.2 1.3 1.5 1.9 2.7 ^D Homogeneous [4.3 7.5 13.9 26.7 52.3] $
Yes, we have now provided a hints page for this purpose.
In that case, test your program on these two inputs:
[12 13 15 19 27 ] [1.2 1.3 1.5 1.9 2.7]Obviously, your program should produce identical output but with the decimal point in a different place. If it doesn't, there is a problem somewhere.