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| # -*- coding: utf-8 -*- | |
| """ | |
| ========= | |
| Constants | |
| ========= | |
| .. currentmodule:: numpy | |
| NumPy includes several constants: | |
| %(constant_list)s | |
| """ | |
| # | |
| # Note: the docstring is autogenerated. | |
| # | |
| import re | |
| import textwrap | |
| # Maintain same format as in numpy.add_newdocs | |
| constants = [] | |
| def add_newdoc(module, name, doc): | |
| constants.append((name, doc)) | |
| add_newdoc('numpy', 'pi', | |
| """ | |
| ``pi = 3.1415926535897932384626433...`` | |
| References | |
| ---------- | |
| https://en.wikipedia.org/wiki/Pi | |
| """) | |
| add_newdoc('numpy', 'e', | |
| """ | |
| Euler's constant, base of natural logarithms, Napier's constant. | |
| ``e = 2.71828182845904523536028747135266249775724709369995...`` | |
| See Also | |
| -------- | |
| exp : Exponential function | |
| log : Natural logarithm | |
| References | |
| ---------- | |
| https://en.wikipedia.org/wiki/E_%28mathematical_constant%29 | |
| """) | |
| add_newdoc('numpy', 'euler_gamma', | |
| """ | |
| ``γ = 0.5772156649015328606065120900824024310421...`` | |
| References | |
| ---------- | |
| https://en.wikipedia.org/wiki/Euler-Mascheroni_constant | |
| """) | |
| add_newdoc('numpy', 'inf', | |
| """ | |
| IEEE 754 floating point representation of (positive) infinity. | |
| Returns | |
| ------- | |
| y : float | |
| A floating point representation of positive infinity. | |
| See Also | |
| -------- | |
| isinf : Shows which elements are positive or negative infinity | |
| isposinf : Shows which elements are positive infinity | |
| isneginf : Shows which elements are negative infinity | |
| isnan : Shows which elements are Not a Number | |
| isfinite : Shows which elements are finite (not one of Not a Number, | |
| positive infinity and negative infinity) | |
| Notes | |
| ----- | |
| NumPy uses the IEEE Standard for Binary Floating-Point for Arithmetic | |
| (IEEE 754). This means that Not a Number is not equivalent to infinity. | |
| Also that positive infinity is not equivalent to negative infinity. But | |
| infinity is equivalent to positive infinity. | |
| `Inf`, `Infinity`, `PINF` and `infty` are aliases for `inf`. | |
| Examples | |
| -------- | |
| >>> np.inf | |
| inf | |
| >>> np.array([1]) / 0. | |
| array([ Inf]) | |
| """) | |
| add_newdoc('numpy', 'nan', | |
| """ | |
| IEEE 754 floating point representation of Not a Number (NaN). | |
| Returns | |
| ------- | |
| y : A floating point representation of Not a Number. | |
| See Also | |
| -------- | |
| isnan : Shows which elements are Not a Number. | |
| isfinite : Shows which elements are finite (not one of | |
| Not a Number, positive infinity and negative infinity) | |
| Notes | |
| ----- | |
| NumPy uses the IEEE Standard for Binary Floating-Point for Arithmetic | |
| (IEEE 754). This means that Not a Number is not equivalent to infinity. | |
| `NaN` and `NAN` are aliases of `nan`. | |
| Examples | |
| -------- | |
| >>> np.nan | |
| nan | |
| >>> np.log(-1) | |
| nan | |
| >>> np.log([-1, 1, 2]) | |
| array([ NaN, 0. , 0.69314718]) | |
| """) | |
| add_newdoc('numpy', 'newaxis', | |
| """ | |
| A convenient alias for None, useful for indexing arrays. | |
| Examples | |
| -------- | |
| >>> newaxis is None | |
| True | |
| >>> x = np.arange(3) | |
| >>> x | |
| array([0, 1, 2]) | |
| >>> x[:, newaxis] | |
| array([[0], | |
| [1], | |
| [2]]) | |
| >>> x[:, newaxis, newaxis] | |
| array([[[0]], | |
| [[1]], | |
| [[2]]]) | |
| >>> x[:, newaxis] * x | |
| array([[0, 0, 0], | |
| [0, 1, 2], | |
| [0, 2, 4]]) | |
| Outer product, same as ``outer(x, y)``: | |
| >>> y = np.arange(3, 6) | |
| >>> x[:, newaxis] * y | |
| array([[ 0, 0, 0], | |
| [ 3, 4, 5], | |
| [ 6, 8, 10]]) | |
| ``x[newaxis, :]`` is equivalent to ``x[newaxis]`` and ``x[None]``: | |
| >>> x[newaxis, :].shape | |
| (1, 3) | |
| >>> x[newaxis].shape | |
| (1, 3) | |
| >>> x[None].shape | |
| (1, 3) | |
| >>> x[:, newaxis].shape | |
| (3, 1) | |
| """) | |
| add_newdoc('numpy', 'NZERO', | |
| """ | |
| IEEE 754 floating point representation of negative zero. | |
| Returns | |
| ------- | |
| y : float | |
| A floating point representation of negative zero. | |
| See Also | |
| -------- | |
| PZERO : Defines positive zero. | |
| isinf : Shows which elements are positive or negative infinity. | |
| isposinf : Shows which elements are positive infinity. | |
| isneginf : Shows which elements are negative infinity. | |
| isnan : Shows which elements are Not a Number. | |
| isfinite : Shows which elements are finite - not one of | |
| Not a Number, positive infinity and negative infinity. | |
| Notes | |
| ----- | |
| NumPy uses the IEEE Standard for Binary Floating-Point for Arithmetic | |
| (IEEE 754). Negative zero is considered to be a finite number. | |
| Examples | |
| -------- | |
| >>> np.NZERO | |
| -0.0 | |
| >>> np.PZERO | |
| 0.0 | |
| >>> np.isfinite([np.NZERO]) | |
| array([ True]) | |
| >>> np.isnan([np.NZERO]) | |
| array([False]) | |
| >>> np.isinf([np.NZERO]) | |
| array([False]) | |
| """) | |
| add_newdoc('numpy', 'PZERO', | |
| """ | |
| IEEE 754 floating point representation of positive zero. | |
| Returns | |
| ------- | |
| y : float | |
| A floating point representation of positive zero. | |
| See Also | |
| -------- | |
| NZERO : Defines negative zero. | |
| isinf : Shows which elements are positive or negative infinity. | |
| isposinf : Shows which elements are positive infinity. | |
| isneginf : Shows which elements are negative infinity. | |
| isnan : Shows which elements are Not a Number. | |
| isfinite : Shows which elements are finite - not one of | |
| Not a Number, positive infinity and negative infinity. | |
| Notes | |
| ----- | |
| NumPy uses the IEEE Standard for Binary Floating-Point for Arithmetic | |
| (IEEE 754). Positive zero is considered to be a finite number. | |
| Examples | |
| -------- | |
| >>> np.PZERO | |
| 0.0 | |
| >>> np.NZERO | |
| -0.0 | |
| >>> np.isfinite([np.PZERO]) | |
| array([ True]) | |
| >>> np.isnan([np.PZERO]) | |
| array([False]) | |
| >>> np.isinf([np.PZERO]) | |
| array([False]) | |
| """) | |
| add_newdoc('numpy', 'NAN', | |
| """ | |
| IEEE 754 floating point representation of Not a Number (NaN). | |
| `NaN` and `NAN` are equivalent definitions of `nan`. Please use | |
| `nan` instead of `NAN`. | |
| See Also | |
| -------- | |
| nan | |
| """) | |
| add_newdoc('numpy', 'NaN', | |
| """ | |
| IEEE 754 floating point representation of Not a Number (NaN). | |
| `NaN` and `NAN` are equivalent definitions of `nan`. Please use | |
| `nan` instead of `NaN`. | |
| See Also | |
| -------- | |
| nan | |
| """) | |
| add_newdoc('numpy', 'NINF', | |
| """ | |
| IEEE 754 floating point representation of negative infinity. | |
| Returns | |
| ------- | |
| y : float | |
| A floating point representation of negative infinity. | |
| See Also | |
| -------- | |
| isinf : Shows which elements are positive or negative infinity | |
| isposinf : Shows which elements are positive infinity | |
| isneginf : Shows which elements are negative infinity | |
| isnan : Shows which elements are Not a Number | |
| isfinite : Shows which elements are finite (not one of Not a Number, | |
| positive infinity and negative infinity) | |
| Notes | |
| ----- | |
| NumPy uses the IEEE Standard for Binary Floating-Point for Arithmetic | |
| (IEEE 754). This means that Not a Number is not equivalent to infinity. | |
| Also that positive infinity is not equivalent to negative infinity. But | |
| infinity is equivalent to positive infinity. | |
| Examples | |
| -------- | |
| >>> np.NINF | |
| -inf | |
| >>> np.log(0) | |
| -inf | |
| """) | |
| add_newdoc('numpy', 'PINF', | |
| """ | |
| IEEE 754 floating point representation of (positive) infinity. | |
| Use `inf` because `Inf`, `Infinity`, `PINF` and `infty` are aliases for | |
| `inf`. For more details, see `inf`. | |
| See Also | |
| -------- | |
| inf | |
| """) | |
| add_newdoc('numpy', 'infty', | |
| """ | |
| IEEE 754 floating point representation of (positive) infinity. | |
| Use `inf` because `Inf`, `Infinity`, `PINF` and `infty` are aliases for | |
| `inf`. For more details, see `inf`. | |
| See Also | |
| -------- | |
| inf | |
| """) | |
| add_newdoc('numpy', 'Inf', | |
| """ | |
| IEEE 754 floating point representation of (positive) infinity. | |
| Use `inf` because `Inf`, `Infinity`, `PINF` and `infty` are aliases for | |
| `inf`. For more details, see `inf`. | |
| See Also | |
| -------- | |
| inf | |
| """) | |
| add_newdoc('numpy', 'Infinity', | |
| """ | |
| IEEE 754 floating point representation of (positive) infinity. | |
| Use `inf` because `Inf`, `Infinity`, `PINF` and `infty` are aliases for | |
| `inf`. For more details, see `inf`. | |
| See Also | |
| -------- | |
| inf | |
| """) | |
| if __doc__: | |
| constants_str = [] | |
| constants.sort() | |
| for name, doc in constants: | |
| s = textwrap.dedent(doc).replace("\n", "\n ") | |
| # Replace sections by rubrics | |
| lines = s.split("\n") | |
| new_lines = [] | |
| for line in lines: | |
| m = re.match(r'^(\s+)[-=]+\s*$', line) | |
| if m and new_lines: | |
| prev = textwrap.dedent(new_lines.pop()) | |
| new_lines.append('%s.. rubric:: %s' % (m.group(1), prev)) | |
| new_lines.append('') | |
| else: | |
| new_lines.append(line) | |
| s = "\n".join(new_lines) | |
| # Done. | |
| constants_str.append(""".. data:: %s\n %s""" % (name, s)) | |
| constants_str = "\n".join(constants_str) | |
| __doc__ = __doc__ % dict(constant_list=constants_str) | |
| del constants_str, name, doc | |
| del line, lines, new_lines, m, s, prev | |
| del constants, add_newdoc | |