Homework4
(Új oldal, tartalma: „==Modulo ring== Define a class called <b>Moduloz</b> representing modulo n numbers (integers). For example in modulo 5: 4 + 3 = 2 (because 7 % 5 = 2) 2 - 3 = 4 (…”) |
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| 1. sor: | 1. sor: | ||
| − | ==Modulo ring== | + | ==4/1. Modulo ring== |
Define a class called <b>Moduloz</b> representing modulo n numbers (integers). | Define a class called <b>Moduloz</b> representing modulo n numbers (integers). | ||
| 17. sor: | 17. sor: | ||
For example: | For example: | ||
| − | a = | + | a = Moduloz(5, 7) |
print a | print a | ||
Should print: | Should print: | ||
2 | 2 | ||
| + | |||
| + | ==4/2. Modulo ring operations== | ||
| + | Implement the <b>__add__</b>, <b>__sub__</b>, <b>__mul__</b> methods for the previous <b>Moduloz</b> class! | ||
| + | |||
| + | For example in modulo 5: | ||
| + | 4 + 3 = 2 (because 7 % 5 = 2) | ||
| + | 2 - 3 = 4 (because -1 % 5 = 4) | ||
| + | 4 * 3 = 2 (because 12 % 5 = 2) | ||
| + | |||
| + | Mind that the operations should return an object of class Moduloz, not an integer (int)! | ||
| + | |||
| + | For example: | ||
| + | a = Moduloz(7, 9) | ||
| + | b = Moduloz(7, 12) | ||
| + | |||
| + | print a + b | ||
| + | print a - b | ||
| + | print a * b | ||
| + | |||
| + | should print: | ||
| + | 0 | ||
| + | 4 | ||
| + | 3 | ||
| + | In the test outputs you can see the sum, difference and the product of the two input numbers. | ||
| + | Hint: | ||
| + | Use the previous exercise as a starting point. | ||
| + | wiki article about rings | ||
| + | |||
| + | ==4/3. Matrix class== | ||
| + | Define a class called Matrix for representing matrices. | ||
| + | |||
| + | You have to implement the <b>__init__</b> and <b>__str__</b> methods. | ||
| + | The constructor has one parameter, a list of list of numbers which is the elements of the matrix. | ||
| + | The <b>__str__</B> should return a multi-line string, containing the matrix in a tabular-like format. | ||
| + | |||
| + | For example: | ||
| + | m = Matrix([[1, 2], [13, 4], [5, 6]]) | ||
| + | print m | ||
| + | should print this: | ||
| + | 1 2 | ||
| + | 13 4 | ||
| + | 5 6 | ||
| + | The numbers are padded to the right in 4 characters width. There are 3 spaces before each element, except the 13 because there are 2 spaces there. | ||
| + | |||
| + | ==4/4. Matrix operations== | ||
| + | Implement the <b>__add__</b>, <b>__sub__</b>, <b>__mul__</b> methods for the previous <b>Matrix</b> class. | ||
| + | |||
| + | The matrices will be square shaped, so every operation is compatible. | ||
| + | |||
| + | For example: | ||
| + | m1 = Matrix([[1, 2], [3, 4]]) | ||
| + | m2 = Matrix([[1, 0], [0, 2]]) | ||
| + | |||
| + | print a + b | ||
| + | print a - b | ||
| + | print a * b | ||
| + | should print this: | ||
| + | 2 2 | ||
| + | 3 6 | ||
| + | |||
| + | 0 2 | ||
| + | 3 2 | ||
| + | |||
| + | 1 4 | ||
| + | 3 8 | ||
| + | |||
| + | |||
| + | In the test you can see the sum, difference and the dot product of the two input matrices. | ||
| + | |||
| + | Hint: | ||
| + | Use the previous exercise as a starting point. | ||
| + | wiki article about rings | ||
A lap jelenlegi, 2021. március 9., 20:55-kori változata
Tartalomjegyzék |
4/1. Modulo ring
Define a class called Moduloz representing modulo n numbers (integers).
For example in modulo 5:
4 + 3 = 2 (because 7 % 5 = 2) 2 - 3 = 4 (because -1 % 5 = 4) 4 * 3 = 2 (because 12 % 5 = 2)
You don't have to implement the operations yet, just define the __init__ and the __str__ methods.
In the constructor you will have two parameters. The first one is the base of the modulo, the second one is the actual number.
The base will be a positive integer, the value will be an integer.
The __str__ should return a string, containing the value.
For example: a = Moduloz(5, 7) print a
Should print: 2
4/2. Modulo ring operations
Implement the __add__, __sub__, __mul__ methods for the previous Moduloz class!
For example in modulo 5:
4 + 3 = 2 (because 7 % 5 = 2) 2 - 3 = 4 (because -1 % 5 = 4) 4 * 3 = 2 (because 12 % 5 = 2)
Mind that the operations should return an object of class Moduloz, not an integer (int)!
For example:
a = Moduloz(7, 9) b = Moduloz(7, 12)
print a + b print a - b print a * b
should print:
0 4 3
In the test outputs you can see the sum, difference and the product of the two input numbers. Hint: Use the previous exercise as a starting point. wiki article about rings
4/3. Matrix class
Define a class called Matrix for representing matrices.
You have to implement the __init__ and __str__ methods. The constructor has one parameter, a list of list of numbers which is the elements of the matrix. The __str__ should return a multi-line string, containing the matrix in a tabular-like format.
For example:
m = Matrix([[1, 2], [13, 4], [5, 6]]) print m
should print this:
1 2 13 4 5 6
The numbers are padded to the right in 4 characters width. There are 3 spaces before each element, except the 13 because there are 2 spaces there.
4/4. Matrix operations
Implement the __add__, __sub__, __mul__ methods for the previous Matrix class.
The matrices will be square shaped, so every operation is compatible.
For example:
m1 = Matrix([[1, 2], [3, 4]]) m2 = Matrix([[1, 0], [0, 2]])
print a + b print a - b print a * b
should print this:
2 2 3 6
0 2 3 2
1 4 3 8
In the test you can see the sum, difference and the dot product of the two input matrices.
Hint: Use the previous exercise as a starting point. wiki article about rings
