wehub-resource-sync
46 lines
1.5 KiB
ReStructuredText
46 lines
1.5 KiB
ReStructuredText
Mathematical constants
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----------------------
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Mpmath supports arbitrary-precision computation of various common (and less
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common) mathematical constants. These constants are implemented as lazy
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objects that can evaluate to any precision. Whenever the objects are used as
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function arguments or as operands in arithmetic operations, they automagically
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evaluate to the current working precision. A lazy number can be converted to a
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regular ``mpf`` using the unary ``+`` operator, or by calling it as a
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function::
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>>> from mpmath import pi, mp
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>>> pi
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<pi: 3.14159~>
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>>> 2*pi
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mpf('6.2831853071795862')
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>>> +pi
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mpf('3.1415926535897931')
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>>> pi()
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mpf('3.1415926535897931')
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>>> mp.dps = 40
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>>> pi
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<pi: 3.14159~>
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>>> 2*pi
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mpf('6.28318530717958647692528676655900576839434')
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>>> +pi
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mpf('3.14159265358979323846264338327950288419717')
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>>> pi()
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mpf('3.14159265358979323846264338327950288419717')
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The predefined objects ``j`` (imaginary unit), ``inf`` (positive infinity) and
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``nan`` (not-a-number) are shortcuts to ``mpc`` and ``mpf`` instances with
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these fixed values.
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.. autofunction:: mpmath.mp.pi
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.. autoattribute:: mpmath.mp.degree
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.. autoattribute:: mpmath.mp.e
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.. autoattribute:: mpmath.mp.phi
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.. autofunction:: mpmath.mp.euler
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.. autoattribute:: mpmath.mp.catalan
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.. autoattribute:: mpmath.mp.apery
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.. autoattribute:: mpmath.mp.khinchin
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.. autoattribute:: mpmath.mp.glaisher
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.. autoattribute:: mpmath.mp.mertens
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.. autoattribute:: mpmath.mp.twinprime
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