Streamline the doctests in the sample_package
- add a couple of doctests - fix failing existing doctests
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2 changed files with 51 additions and 25 deletions
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@ -38,6 +38,10 @@ class Matrix:
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ValueError:
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- if no entries are provided
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- if the number of columns is inconsistent across the rows
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Example Usage:
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>>> Matrix([(1, 2), (3, 4)])
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Matrix(((1.000, 2.000,), (3.000, 4.000,)))
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"""
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self._entries = self.storage(
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self.storage(self.typing(x) for x in r) for r in data
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@ -64,6 +68,10 @@ class Matrix:
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ValueError:
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- if no entries are provided
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- if the number of rows is inconsistent across the columns
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Example Usage:
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>>> Matrix.from_columns([(1, 2), (3, 4)])
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Matrix(((1.000, 3.000,), (2.000, 4.000,)))
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"""
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return cls(data).transpose()
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@ -122,7 +130,7 @@ class Matrix:
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>>> m[-1]
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4.0
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>>> m[0, 1]
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3.0
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2.0
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"""
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# Sequence-like indexing (one-dimensional)
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if isinstance(index, int):
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@ -201,13 +209,13 @@ class Matrix:
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Example Usage:
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>>> Matrix([(1, 2), (3, 4)]) + Matrix([(2, 3), (4, 5)])
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Matrix(((3.0, 5.0), (7.0, 9.0)))
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Matrix(((3.000, 5.000,), (7.000, 9.000,)))
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>>> Matrix([(1, 2), (3, 4)]) + 5
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Matrix(((6.0, 7.0), (8.0, 9.0)))
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Matrix(((6.000, 7.000,), (8.000, 9.000,)))
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>>> 10 + Matrix([(1, 2), (3, 4)])
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Matrix(((11.0, 12.0), (13.0, 14.0)))
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Matrix(((11.000, 12.000,), (13.000, 14.000,)))
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"""
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# Matrix addition
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if isinstance(other, self.__class__):
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@ -237,13 +245,13 @@ class Matrix:
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Example Usage:
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>>> Matrix([(2, 3), (4, 5)]) - Matrix([(1, 2), (3, 4)])
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Matrix(((1.0, 1.0), (1.0, 1.0)))
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Matrix(((1.000, 1.000,), (1.000, 1.000,)))
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>>> Matrix([(1, 2), (3, 4)]) - 1
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Matrix(((0.0, 1.0), (2.0, 3.0)))
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Matrix(((0.000, 1.000,), (2.000, 3.000,)))
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>>> 10 - Matrix([(1, 2), (3, 4)])
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Matrix(((9.0, 8.0), (7.0, 6.0)))
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Matrix(((9.000, 8.000,), (7.000, 6.000,)))
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"""
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# As subtraction is the inverse of addition,
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# we first dispatch to .__neg__() to invert the signs of
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@ -276,21 +284,21 @@ class Matrix:
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Example Usage:
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>>> Matrix([(1, 2), (3, 4)]) * Matrix([(1, 2), (3, 4)])
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Matrix(((7.0, 10.0), (15.0, 22.0)))
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Matrix(((7.000, 10.000,), (15.000, 22.000,)))
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>>> 2 * Matrix([(1, 2), (3, 4)])
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Matrix(((2.0, 4.0), (6.0, 8.0)))
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Matrix(((2.000, 4.000,), (6.000, 8.000,)))
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>>> Matrix([(1, 2), (3, 4)]) * 3
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Matrix(((3.0, 6.0), (9.0, 12.0)))
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Matrix(((3.000, 6.000,), (9.000, 12.000,)))
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Matrix-vector and vector-matrix multiplication are not commutative.
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>>> Matrix([(1, 2), (3, 4)]) * Vector([5, 6])
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Vector((17.0, 39.0))
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Vector((17.000, 39.000))
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>>> Vector([5, 6]) * Matrix([(1, 2), (3, 4)])
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Vector((23.0, 34.0))
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Vector((23.000, 34.000))
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"""
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# Scalar multiplication
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if isinstance(other, numbers.Number):
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@ -322,7 +330,7 @@ class Matrix:
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Example Usage:
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>>> Matrix([(1, 2), (3, 4)]) / 4
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Matrix([(0.25, 0.5), (0.75, 1.0)])
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Matrix(((0.250, 0.500,), (0.750, 1.000,)))
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"""
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# As scalar division division is the same as multiplication
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# with the inverse, we dispatch to .__mul__().
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@ -394,6 +402,10 @@ class Matrix:
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Raises:
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RuntimeError: if one of the two dimensions, .n_rows or .n_cols, is not 1
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Example Usage:
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>>> Matrix([(1, 2, 3)]).as_vector()
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Vector((1.000, 2.000, 3.000))
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"""
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if not (self.n_rows == 1 or self.n_cols == 1):
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raise RuntimeError("one dimension (m or n) must be 1")
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@ -404,6 +416,13 @@ class Matrix:
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Returns:
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matrix (Matrix)
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Example Usage:
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>>> m = Matrix([(1, 2), (3, 4)])
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>>> m
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Matrix(((1.000, 2.000,), (3.000, 4.000,)))
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>>> m.transpose()
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Matrix(((1.000, 3.000,), (2.000, 4.000,)))
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"""
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return self.__class__(zip(*self._entries))
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@ -40,10 +40,10 @@ class Vector:
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Example Usage:
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>>> Vector([1, 2, 3])
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Vector((1.0, 2.0, 3.0))
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Vector((1.000, 2.000, 3.000))
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>>> Vector(range(3))
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Vector((0.0, 1.0, 2.0))
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Vector((0.000, 1.000, 2.000))
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"""
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self._entries = self.storage(self.typing(x) for x in data)
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if len(self) == 0:
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@ -86,13 +86,13 @@ class Vector:
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Example Usage:
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>>> Vector([1, 2, 3]) + Vector([2, 3, 4])
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Vector((3, 5, 7))
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Vector((3.000, 5.000, 7.000))
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>>> Vector([1, 2, 3]) + 4
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Vector((5, 6, 7))
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Vector((5.000, 6.000, 7.000))
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>>> 10 + Vector([1, 2, 3])
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Vector((11, 12, 13))
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Vector((11.000, 12.000, 13.000))
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"""
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# Vector addition
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if isinstance(other, self.__class__):
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@ -117,13 +117,13 @@ class Vector:
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Example Usage:
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>>> Vector([7, 8, 9]) - Vector([1, 2, 3])
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Vector((6, 6, 6))
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Vector((6.000, 6.000, 6.000))
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>>> Vector([1, 2, 3]) - 1
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Vector((0, 1, 2))
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Vector((0.000, 1.000, 2.000))
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>>> 10 - Vector([1, 2, 3])
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Vector((9, 8, 7))
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Vector((9.000, 8.000, 7.000))
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"""
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# As subtraction is the inverse of addition,
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# we first dispatch to .__neg__() to invert the signs of
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@ -143,13 +143,13 @@ class Vector:
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Example Usage:
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>>> Vector([1, 2, 3]) * Vector([2, 3, 4])
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14
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20.0
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>>> 2 * Vector([1, 2, 3])
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Vector((2.0, 4.0, 6.0))
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Vector((2.000, 4.000, 6.000))
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>>> Vector([1, 2, 3]) * 3
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Vector((3.0, 6.0, 9.0))
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Vector((3.000, 6.000, 9.000))
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"""
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# Dot product
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if isinstance(other, self.__class__):
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@ -174,7 +174,7 @@ class Vector:
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Example Usage:
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>>> Vector([9, 6, 12]) / 3
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Vector((3.0, 2.0, 4.0))
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Vector((3.000, 2.000, 4.000))
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"""
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# As scalar division division is the same as multiplication
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# with the inverse, we dispatch to .__mul__().
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@ -247,6 +247,13 @@ class Vector:
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Returns:
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matrix (Matrix)
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Example Usage:
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>>> v = Vector([1, 2, 3])
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>>> v.as_matrix()
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Matrix(((1.000,), (2.000,), (3.000,)))
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>>> v.as_matrix(column=False)
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Matrix(((1.000, 2.000, 3.000,)))
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"""
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if column:
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return Matrix([x] for x in self)
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