math API Reference
Full documentation for math (Standard Library / Native)
math.acos
Python Library Documentation: built-in function acos in module math
acos(x, /)
Return the arc cosine (measured in radians) of x.
The result is between 0 and pi.
math.acosh
Python Library Documentation: built-in function acosh in module math
acosh(x, /)
Return the inverse hyperbolic cosine of x.
math.asin
Python Library Documentation: built-in function asin in module math
asin(x, /)
Return the arc sine (measured in radians) of x.
The result is between -pi/2 and pi/2.
math.asinh
Python Library Documentation: built-in function asinh in module math
asinh(x, /)
Return the inverse hyperbolic sine of x.
math.atan
Python Library Documentation: built-in function atan in module math
atan(x, /)
Return the arc tangent (measured in radians) of x.
The result is between -pi/2 and pi/2.
math.atan2
Python Library Documentation: built-in function atan2 in module math
atan2(y, x, /)
Return the arc tangent (measured in radians) of y/x.
Unlike atan(y/x), the signs of both x and y are considered.
math.atanh
Python Library Documentation: built-in function atanh in module math
atanh(x, /)
Return the inverse hyperbolic tangent of x.
math.cbrt
Python Library Documentation: built-in function cbrt in module math
cbrt(x, /)
Return the cube root of x.
math.ceil
Python Library Documentation: built-in function ceil in module math
ceil(x, /)
Return the ceiling of x as an Integral.
This is the smallest integer >= x.
math.comb
Python Library Documentation: built-in function comb in module math
comb(n, k, /)
Number of ways to choose k items from n items without repetition and without order.
Evaluates to n! / (k! * (n - k)!) when k <= n and evaluates
to zero when k > n.
Also called the binomial coefficient because it is equivalent
to the coefficient of k-th term in polynomial expansion of the
expression (1 + x)**n.
Raises TypeError if either of the arguments are not integers.
Raises ValueError if either of the arguments are negative.
math.copysign
Python Library Documentation: built-in function copysign in module math
copysign(x, y, /)
Return a float with the magnitude (absolute value) of x but the sign of y.
On platforms that support signed zeros, copysign(1.0, -0.0)
returns -1.0.
math.cos
Python Library Documentation: built-in function cos in module math
cos(x, /)
Return the cosine of x (measured in radians).
math.cosh
Python Library Documentation: built-in function cosh in module math
cosh(x, /)
Return the hyperbolic cosine of x.
math.degrees
Python Library Documentation: built-in function degrees in module math
degrees(x, /)
Convert angle x from radians to degrees.
math.dist
Python Library Documentation: built-in function dist in module math
dist(p, q, /)
Return the Euclidean distance between two points p and q.
The points should be specified as sequences (or iterables) of
coordinates. Both inputs must have the same dimension.
Roughly equivalent to:
sqrt(sum((px - qx) ** 2.0 for px, qx in zip(p, q)))
math.e
Python Library Documentation: float object
class float(object)
| float(x=0, /)
|
| Convert a string or number to a floating-point number, if possible.
|
| Methods defined here:
|
| __abs__(self, /)
| abs(self)
|
| __add__(self, value, /)
| Return self+value.
|
| __bool__(self, /)
| True if self else False
|
| __ceil__(self, /)
| Return the ceiling as an Integral.
|
| __divmod__(self, value, /)
| Return divmod(self, value).
|
| __eq__(self, value, /)
| Return self==value.
|
| __float__(self, /)
| float(self)
|
| __floor__(self, /)
| Return the floor as an Integral.
|
| __floordiv__(self, value, /)
| Return self//value.
|
| __format__(self, format_spec, /)
| Formats the float according to format_spec.
|
| __ge__(self, value, /)
| Return self>=value.
|
| __getnewargs__(self, /)
|
| __gt__(self, value, /)
| Return self>value.
|
| __hash__(self, /)
| Return hash(self).
|
| __int__(self, /)
| int(self)
|
| __le__(self, value, /)
| Return self<=value.
|
| __lt__(self, value, /)
| Return self<value.
|
| __mod__(self, value, /)
| Return self%value.
|
| __mul__(self, value, /)
| Return self*value.
|
| __ne__(self, value, /)
| Return self!=value.
|
| __neg__(self, /)
| -self
|
| __pos__(self, /)
| +self
|
| __pow__(self, value, mod=None, /)
| Return pow(self, value, mod).
|
| __radd__(self, value, /)
| Return value+self.
|
| __rdivmod__(self, value, /)
| Return divmod(value, self).
|
| __repr__(self, /)
| Return repr(self).
|
| __rfloordiv__(self, value, /)
| Return value//self.
|
| __rmod__(self, value, /)
| Return value%self.
|
| __rmul__(self, value, /)
| Return value*self.
|
| __round__(self, ndigits=None, /)
| Return the Integral closest to x, rounding half toward even.
|
| When an argument is passed, work like built-in round(x, ndigits).
|
| __rpow__(self, value, mod=None, /)
| Return pow(value, self, mod).
|
| __rsub__(self, value, /)
| Return value-self.
|
| __rtruediv__(self, value, /)
| Return value/self.
|
| __sub__(self, value, /)
| Return self-value.
|
| __truediv__(self, value, /)
| Return self/value.
|
| __trunc__(self, /)
| Return the Integral closest to x between 0 and x.
|
| as_integer_ratio(self, /)
| Return a pair of integers, whose ratio is exactly equal to the original float.
|
| The ratio is in lowest terms and has a positive denominator. Raise
| OverflowError on infinities and a ValueError on NaNs.
|
| >>> (10.0).as_integer_ratio()
| (10, 1)
| >>> (0.0).as_integer_ratio()
| (0, 1)
| >>> (-.25).as_integer_ratio()
| (-1, 4)
|
| conjugate(self, /)
| Return self, the complex conjugate of any float.
|
| hex(self, /)
| Return a hexadecimal representation of a floating-point number.
|
| >>> (-0.1).hex()
| '-0x1.999999999999ap-4'
| >>> 3.14159.hex()
| '0x1.921f9f01b866ep+1'
|
| is_integer(self, /)
| Return True if the float is an integer.
|
| ----------------------------------------------------------------------
| Class methods defined here:
|
| __getformat__(typestr, /)
| You probably don't want to use this function.
|
| typestr
| Must be 'double' or 'float'.
|
| It exists mainly to be used in Python's test suite.
|
| This function returns whichever of 'unknown', 'IEEE, big-endian' or 'IEEE,
| little-endian' best describes the format of floating-point numbers used by the
| C type named by typestr.
|
| fromhex(string, /)
| Create a floating-point number from a hexadecimal string.
|
| >>> float.fromhex('0x1.ffffp10')
| 2047.984375
| >>> float.fromhex('-0x1p-1074')
| -5e-324
|
| ----------------------------------------------------------------------
| Static methods defined here:
|
| __new__(*args, **kwargs)
| Create and return a new object. See help(type) for accurate signature.
|
| ----------------------------------------------------------------------
| Data descriptors defined here:
|
| imag
| the imaginary part of a complex number
|
| real
| the real part of a complex number
math.erf
Python Library Documentation: built-in function erf in module math
erf(x, /)
Error function at x.
math.erfc
Python Library Documentation: built-in function erfc in module math
erfc(x, /)
Complementary error function at x.
math.exp
Python Library Documentation: built-in function exp in module math
exp(x, /)
Return e raised to the power of x.
math.exp2
Python Library Documentation: built-in function exp2 in module math
exp2(x, /)
Return 2 raised to the power of x.
math.expm1
Python Library Documentation: built-in function expm1 in module math
expm1(x, /)
Return exp(x)-1.
This function avoids the loss of precision involved in the direct evaluation of exp(x)-1 for small x.
math.fabs
Python Library Documentation: built-in function fabs in module math
fabs(x, /)
Return the absolute value of the float x.
math.factorial
Python Library Documentation: built-in function factorial in module math
factorial(n, /)
Find n!.
Raise a ValueError if x is negative or non-integral.
math.floor
Python Library Documentation: built-in function floor in module math
floor(x, /)
Return the floor of x as an Integral.
This is the largest integer <= x.
math.fmod
Python Library Documentation: built-in function fmod in module math
fmod(x, y, /)
Return fmod(x, y), according to platform C.
x % y may differ.
math.frexp
Python Library Documentation: built-in function frexp in module math
frexp(x, /)
Return the mantissa and exponent of x, as pair (m, e).
m is a float and e is an int, such that x = m * 2.**e.
If x is 0, m and e are both 0. Else 0.5 <= abs(m) < 1.0.
math.fsum
Python Library Documentation: built-in function fsum in module math
fsum(seq, /)
Return an accurate floating-point sum of values in the iterable seq.
Assumes IEEE-754 floating-point arithmetic.
math.gamma
Python Library Documentation: built-in function gamma in module math
gamma(x, /)
Gamma function at x.
math.gcd
Python Library Documentation: built-in function gcd in module math
gcd(*integers)
Greatest Common Divisor.
math.hypot
Python Library Documentation: built-in function hypot in module math
hypot(...)
hypot(*coordinates) -> value
Multidimensional Euclidean distance from the origin to a point.
Roughly equivalent to:
sqrt(sum(x**2 for x in coordinates))
For a two dimensional point (x, y), gives the hypotenuse
using the Pythagorean theorem: sqrt(x*x + y*y).
For example, the hypotenuse of a 3/4/5 right triangle is:
>>> hypot(3.0, 4.0)
5.0
math.inf
Python Library Documentation: float object
class float(object)
| float(x=0, /)
|
| Convert a string or number to a floating-point number, if possible.
|
| Methods defined here:
|
| __abs__(self, /)
| abs(self)
|
| __add__(self, value, /)
| Return self+value.
|
| __bool__(self, /)
| True if self else False
|
| __ceil__(self, /)
| Return the ceiling as an Integral.
|
| __divmod__(self, value, /)
| Return divmod(self, value).
|
| __eq__(self, value, /)
| Return self==value.
|
| __float__(self, /)
| float(self)
|
| __floor__(self, /)
| Return the floor as an Integral.
|
| __floordiv__(self, value, /)
| Return self//value.
|
| __format__(self, format_spec, /)
| Formats the float according to format_spec.
|
| __ge__(self, value, /)
| Return self>=value.
|
| __getnewargs__(self, /)
|
| __gt__(self, value, /)
| Return self>value.
|
| __hash__(self, /)
| Return hash(self).
|
| __int__(self, /)
| int(self)
|
| __le__(self, value, /)
| Return self<=value.
|
| __lt__(self, value, /)
| Return self<value.
|
| __mod__(self, value, /)
| Return self%value.
|
| __mul__(self, value, /)
| Return self*value.
|
| __ne__(self, value, /)
| Return self!=value.
|
| __neg__(self, /)
| -self
|
| __pos__(self, /)
| +self
|
| __pow__(self, value, mod=None, /)
| Return pow(self, value, mod).
|
| __radd__(self, value, /)
| Return value+self.
|
| __rdivmod__(self, value, /)
| Return divmod(value, self).
|
| __repr__(self, /)
| Return repr(self).
|
| __rfloordiv__(self, value, /)
| Return value//self.
|
| __rmod__(self, value, /)
| Return value%self.
|
| __rmul__(self, value, /)
| Return value*self.
|
| __round__(self, ndigits=None, /)
| Return the Integral closest to x, rounding half toward even.
|
| When an argument is passed, work like built-in round(x, ndigits).
|
| __rpow__(self, value, mod=None, /)
| Return pow(value, self, mod).
|
| __rsub__(self, value, /)
| Return value-self.
|
| __rtruediv__(self, value, /)
| Return value/self.
|
| __sub__(self, value, /)
| Return self-value.
|
| __truediv__(self, value, /)
| Return self/value.
|
| __trunc__(self, /)
| Return the Integral closest to x between 0 and x.
|
| as_integer_ratio(self, /)
| Return a pair of integers, whose ratio is exactly equal to the original float.
|
| The ratio is in lowest terms and has a positive denominator. Raise
| OverflowError on infinities and a ValueError on NaNs.
|
| >>> (10.0).as_integer_ratio()
| (10, 1)
| >>> (0.0).as_integer_ratio()
| (0, 1)
| >>> (-.25).as_integer_ratio()
| (-1, 4)
|
| conjugate(self, /)
| Return self, the complex conjugate of any float.
|
| hex(self, /)
| Return a hexadecimal representation of a floating-point number.
|
| >>> (-0.1).hex()
| '-0x1.999999999999ap-4'
| >>> 3.14159.hex()
| '0x1.921f9f01b866ep+1'
|
| is_integer(self, /)
| Return True if the float is an integer.
|
| ----------------------------------------------------------------------
| Class methods defined here:
|
| __getformat__(typestr, /)
| You probably don't want to use this function.
|
| typestr
| Must be 'double' or 'float'.
|
| It exists mainly to be used in Python's test suite.
|
| This function returns whichever of 'unknown', 'IEEE, big-endian' or 'IEEE,
| little-endian' best describes the format of floating-point numbers used by the
| C type named by typestr.
|
| fromhex(string, /)
| Create a floating-point number from a hexadecimal string.
|
| >>> float.fromhex('0x1.ffffp10')
| 2047.984375
| >>> float.fromhex('-0x1p-1074')
| -5e-324
|
| ----------------------------------------------------------------------
| Static methods defined here:
|
| __new__(*args, **kwargs)
| Create and return a new object. See help(type) for accurate signature.
|
| ----------------------------------------------------------------------
| Data descriptors defined here:
|
| imag
| the imaginary part of a complex number
|
| real
| the real part of a complex number
math.isclose
Python Library Documentation: built-in function isclose in module math
isclose(a, b, *, rel_tol=1e-09, abs_tol=0.0)
Determine whether two floating-point numbers are close in value.
rel_tol
maximum difference for being considered "close", relative to the
magnitude of the input values
abs_tol
maximum difference for being considered "close", regardless of the
magnitude of the input values
Return True if a is close in value to b, and False otherwise.
For the values to be considered close, the difference between them
must be smaller than at least one of the tolerances.
-inf, inf and NaN behave similarly to the IEEE 754 Standard. That
is, NaN is not close to anything, even itself. inf and -inf are
only close to themselves.
math.isfinite
Python Library Documentation: built-in function isfinite in module math
isfinite(x, /)
Return True if x is neither an infinity nor a NaN, and False otherwise.
math.isinf
Python Library Documentation: built-in function isinf in module math
isinf(x, /)
Return True if x is a positive or negative infinity, and False otherwise.
math.isnan
Python Library Documentation: built-in function isnan in module math
isnan(x, /)
Return True if x is a NaN (not a number), and False otherwise.
math.isqrt
Python Library Documentation: built-in function isqrt in module math
isqrt(n, /)
Return the integer part of the square root of the input.
math.lcm
Python Library Documentation: built-in function lcm in module math
lcm(*integers)
Least Common Multiple.
math.ldexp
Python Library Documentation: built-in function ldexp in module math
ldexp(x, i, /)
Return x * (2**i).
This is essentially the inverse of frexp().
math.lgamma
Python Library Documentation: built-in function lgamma in module math
lgamma(x, /)
Natural logarithm of absolute value of Gamma function at x.
math.log
Python Library Documentation: built-in function log in module math
log(...)
log(x, [base=math.e])
Return the logarithm of x to the given base.
If the base is not specified, returns the natural logarithm (base e) of x.
math.log10
Python Library Documentation: built-in function log10 in module math
log10(x, /)
Return the base 10 logarithm of x.
math.log1p
Python Library Documentation: built-in function log1p in module math
log1p(x, /)
Return the natural logarithm of 1+x (base e).
The result is computed in a way which is accurate for x near zero.
math.log2
Python Library Documentation: built-in function log2 in module math
log2(x, /)
Return the base 2 logarithm of x.
math.modf
Python Library Documentation: built-in function modf in module math
modf(x, /)
Return the fractional and integer parts of x.
Both results carry the sign of x and are floats.
math.nan
Python Library Documentation: float object
class float(object)
| float(x=0, /)
|
| Convert a string or number to a floating-point number, if possible.
|
| Methods defined here:
|
| __abs__(self, /)
| abs(self)
|
| __add__(self, value, /)
| Return self+value.
|
| __bool__(self, /)
| True if self else False
|
| __ceil__(self, /)
| Return the ceiling as an Integral.
|
| __divmod__(self, value, /)
| Return divmod(self, value).
|
| __eq__(self, value, /)
| Return self==value.
|
| __float__(self, /)
| float(self)
|
| __floor__(self, /)
| Return the floor as an Integral.
|
| __floordiv__(self, value, /)
| Return self//value.
|
| __format__(self, format_spec, /)
| Formats the float according to format_spec.
|
| __ge__(self, value, /)
| Return self>=value.
|
| __getnewargs__(self, /)
|
| __gt__(self, value, /)
| Return self>value.
|
| __hash__(self, /)
| Return hash(self).
|
| __int__(self, /)
| int(self)
|
| __le__(self, value, /)
| Return self<=value.
|
| __lt__(self, value, /)
| Return self<value.
|
| __mod__(self, value, /)
| Return self%value.
|
| __mul__(self, value, /)
| Return self*value.
|
| __ne__(self, value, /)
| Return self!=value.
|
| __neg__(self, /)
| -self
|
| __pos__(self, /)
| +self
|
| __pow__(self, value, mod=None, /)
| Return pow(self, value, mod).
|
| __radd__(self, value, /)
| Return value+self.
|
| __rdivmod__(self, value, /)
| Return divmod(value, self).
|
| __repr__(self, /)
| Return repr(self).
|
| __rfloordiv__(self, value, /)
| Return value//self.
|
| __rmod__(self, value, /)
| Return value%self.
|
| __rmul__(self, value, /)
| Return value*self.
|
| __round__(self, ndigits=None, /)
| Return the Integral closest to x, rounding half toward even.
|
| When an argument is passed, work like built-in round(x, ndigits).
|
| __rpow__(self, value, mod=None, /)
| Return pow(value, self, mod).
|
| __rsub__(self, value, /)
| Return value-self.
|
| __rtruediv__(self, value, /)
| Return value/self.
|
| __sub__(self, value, /)
| Return self-value.
|
| __truediv__(self, value, /)
| Return self/value.
|
| __trunc__(self, /)
| Return the Integral closest to x between 0 and x.
|
| as_integer_ratio(self, /)
| Return a pair of integers, whose ratio is exactly equal to the original float.
|
| The ratio is in lowest terms and has a positive denominator. Raise
| OverflowError on infinities and a ValueError on NaNs.
|
| >>> (10.0).as_integer_ratio()
| (10, 1)
| >>> (0.0).as_integer_ratio()
| (0, 1)
| >>> (-.25).as_integer_ratio()
| (-1, 4)
|
| conjugate(self, /)
| Return self, the complex conjugate of any float.
|
| hex(self, /)
| Return a hexadecimal representation of a floating-point number.
|
| >>> (-0.1).hex()
| '-0x1.999999999999ap-4'
| >>> 3.14159.hex()
| '0x1.921f9f01b866ep+1'
|
| is_integer(self, /)
| Return True if the float is an integer.
|
| ----------------------------------------------------------------------
| Class methods defined here:
|
| __getformat__(typestr, /)
| You probably don't want to use this function.
|
| typestr
| Must be 'double' or 'float'.
|
| It exists mainly to be used in Python's test suite.
|
| This function returns whichever of 'unknown', 'IEEE, big-endian' or 'IEEE,
| little-endian' best describes the format of floating-point numbers used by the
| C type named by typestr.
|
| fromhex(string, /)
| Create a floating-point number from a hexadecimal string.
|
| >>> float.fromhex('0x1.ffffp10')
| 2047.984375
| >>> float.fromhex('-0x1p-1074')
| -5e-324
|
| ----------------------------------------------------------------------
| Static methods defined here:
|
| __new__(*args, **kwargs)
| Create and return a new object. See help(type) for accurate signature.
|
| ----------------------------------------------------------------------
| Data descriptors defined here:
|
| imag
| the imaginary part of a complex number
|
| real
| the real part of a complex number
math.nextafter
Python Library Documentation: built-in function nextafter in module math
nextafter(x, y, /, *, steps=None)
Return the floating-point value the given number of steps after x towards y.
If steps is not specified or is None, it defaults to 1.
Raises a TypeError, if x or y is not a double, or if steps is not an integer.
Raises ValueError if steps is negative.
math.perm
Python Library Documentation: built-in function perm in module math
perm(n, k=None, /)
Number of ways to choose k items from n items without repetition and with order.
Evaluates to n! / (n - k)! when k <= n and evaluates
to zero when k > n.
If k is not specified or is None, then k defaults to n
and the function returns n!.
Raises TypeError if either of the arguments are not integers.
Raises ValueError if either of the arguments are negative.
math.pi
Python Library Documentation: float object
class float(object)
| float(x=0, /)
|
| Convert a string or number to a floating-point number, if possible.
|
| Methods defined here:
|
| __abs__(self, /)
| abs(self)
|
| __add__(self, value, /)
| Return self+value.
|
| __bool__(self, /)
| True if self else False
|
| __ceil__(self, /)
| Return the ceiling as an Integral.
|
| __divmod__(self, value, /)
| Return divmod(self, value).
|
| __eq__(self, value, /)
| Return self==value.
|
| __float__(self, /)
| float(self)
|
| __floor__(self, /)
| Return the floor as an Integral.
|
| __floordiv__(self, value, /)
| Return self//value.
|
| __format__(self, format_spec, /)
| Formats the float according to format_spec.
|
| __ge__(self, value, /)
| Return self>=value.
|
| __getnewargs__(self, /)
|
| __gt__(self, value, /)
| Return self>value.
|
| __hash__(self, /)
| Return hash(self).
|
| __int__(self, /)
| int(self)
|
| __le__(self, value, /)
| Return self<=value.
|
| __lt__(self, value, /)
| Return self<value.
|
| __mod__(self, value, /)
| Return self%value.
|
| __mul__(self, value, /)
| Return self*value.
|
| __ne__(self, value, /)
| Return self!=value.
|
| __neg__(self, /)
| -self
|
| __pos__(self, /)
| +self
|
| __pow__(self, value, mod=None, /)
| Return pow(self, value, mod).
|
| __radd__(self, value, /)
| Return value+self.
|
| __rdivmod__(self, value, /)
| Return divmod(value, self).
|
| __repr__(self, /)
| Return repr(self).
|
| __rfloordiv__(self, value, /)
| Return value//self.
|
| __rmod__(self, value, /)
| Return value%self.
|
| __rmul__(self, value, /)
| Return value*self.
|
| __round__(self, ndigits=None, /)
| Return the Integral closest to x, rounding half toward even.
|
| When an argument is passed, work like built-in round(x, ndigits).
|
| __rpow__(self, value, mod=None, /)
| Return pow(value, self, mod).
|
| __rsub__(self, value, /)
| Return value-self.
|
| __rtruediv__(self, value, /)
| Return value/self.
|
| __sub__(self, value, /)
| Return self-value.
|
| __truediv__(self, value, /)
| Return self/value.
|
| __trunc__(self, /)
| Return the Integral closest to x between 0 and x.
|
| as_integer_ratio(self, /)
| Return a pair of integers, whose ratio is exactly equal to the original float.
|
| The ratio is in lowest terms and has a positive denominator. Raise
| OverflowError on infinities and a ValueError on NaNs.
|
| >>> (10.0).as_integer_ratio()
| (10, 1)
| >>> (0.0).as_integer_ratio()
| (0, 1)
| >>> (-.25).as_integer_ratio()
| (-1, 4)
|
| conjugate(self, /)
| Return self, the complex conjugate of any float.
|
| hex(self, /)
| Return a hexadecimal representation of a floating-point number.
|
| >>> (-0.1).hex()
| '-0x1.999999999999ap-4'
| >>> 3.14159.hex()
| '0x1.921f9f01b866ep+1'
|
| is_integer(self, /)
| Return True if the float is an integer.
|
| ----------------------------------------------------------------------
| Class methods defined here:
|
| __getformat__(typestr, /)
| You probably don't want to use this function.
|
| typestr
| Must be 'double' or 'float'.
|
| It exists mainly to be used in Python's test suite.
|
| This function returns whichever of 'unknown', 'IEEE, big-endian' or 'IEEE,
| little-endian' best describes the format of floating-point numbers used by the
| C type named by typestr.
|
| fromhex(string, /)
| Create a floating-point number from a hexadecimal string.
|
| >>> float.fromhex('0x1.ffffp10')
| 2047.984375
| >>> float.fromhex('-0x1p-1074')
| -5e-324
|
| ----------------------------------------------------------------------
| Static methods defined here:
|
| __new__(*args, **kwargs)
| Create and return a new object. See help(type) for accurate signature.
|
| ----------------------------------------------------------------------
| Data descriptors defined here:
|
| imag
| the imaginary part of a complex number
|
| real
| the real part of a complex number
math.pow
Python Library Documentation: built-in function pow in module math
pow(x, y, /)
Return x**y (x to the power of y).
math.prod
Python Library Documentation: built-in function prod in module math
prod(iterable, /, *, start=1)
Calculate the product of all the elements in the input iterable.
The default start value for the product is 1.
When the iterable is empty, return the start value. This function is
intended specifically for use with numeric values and may reject
non-numeric types.
math.radians
Python Library Documentation: built-in function radians in module math
radians(x, /)
Convert angle x from degrees to radians.
math.remainder
Python Library Documentation: built-in function remainder in module math
remainder(x, y, /)
Difference between x and the closest integer multiple of y.
Return x - n*y where n*y is the closest integer multiple of y.
In the case where x is exactly halfway between two multiples of
y, the nearest even value of n is used. The result is always exact.
math.sin
Python Library Documentation: built-in function sin in module math
sin(x, /)
Return the sine of x (measured in radians).
math.sinh
Python Library Documentation: built-in function sinh in module math
sinh(x, /)
Return the hyperbolic sine of x.
math.sqrt
Python Library Documentation: built-in function sqrt in module math
sqrt(x, /)
Return the square root of x.
math.sumprod
Python Library Documentation: built-in function sumprod in module math
sumprod(p, q, /)
Return the sum of products of values from two iterables p and q.
Roughly equivalent to:
sum(itertools.starmap(operator.mul, zip(p, q, strict=True)))
For float and mixed int/float inputs, the intermediate products
and sums are computed with extended precision.
math.tan
Python Library Documentation: built-in function tan in module math
tan(x, /)
Return the tangent of x (measured in radians).
math.tanh
Python Library Documentation: built-in function tanh in module math
tanh(x, /)
Return the hyperbolic tangent of x.
math.tau
Python Library Documentation: float object
class float(object)
| float(x=0, /)
|
| Convert a string or number to a floating-point number, if possible.
|
| Methods defined here:
|
| __abs__(self, /)
| abs(self)
|
| __add__(self, value, /)
| Return self+value.
|
| __bool__(self, /)
| True if self else False
|
| __ceil__(self, /)
| Return the ceiling as an Integral.
|
| __divmod__(self, value, /)
| Return divmod(self, value).
|
| __eq__(self, value, /)
| Return self==value.
|
| __float__(self, /)
| float(self)
|
| __floor__(self, /)
| Return the floor as an Integral.
|
| __floordiv__(self, value, /)
| Return self//value.
|
| __format__(self, format_spec, /)
| Formats the float according to format_spec.
|
| __ge__(self, value, /)
| Return self>=value.
|
| __getnewargs__(self, /)
|
| __gt__(self, value, /)
| Return self>value.
|
| __hash__(self, /)
| Return hash(self).
|
| __int__(self, /)
| int(self)
|
| __le__(self, value, /)
| Return self<=value.
|
| __lt__(self, value, /)
| Return self<value.
|
| __mod__(self, value, /)
| Return self%value.
|
| __mul__(self, value, /)
| Return self*value.
|
| __ne__(self, value, /)
| Return self!=value.
|
| __neg__(self, /)
| -self
|
| __pos__(self, /)
| +self
|
| __pow__(self, value, mod=None, /)
| Return pow(self, value, mod).
|
| __radd__(self, value, /)
| Return value+self.
|
| __rdivmod__(self, value, /)
| Return divmod(value, self).
|
| __repr__(self, /)
| Return repr(self).
|
| __rfloordiv__(self, value, /)
| Return value//self.
|
| __rmod__(self, value, /)
| Return value%self.
|
| __rmul__(self, value, /)
| Return value*self.
|
| __round__(self, ndigits=None, /)
| Return the Integral closest to x, rounding half toward even.
|
| When an argument is passed, work like built-in round(x, ndigits).
|
| __rpow__(self, value, mod=None, /)
| Return pow(value, self, mod).
|
| __rsub__(self, value, /)
| Return value-self.
|
| __rtruediv__(self, value, /)
| Return value/self.
|
| __sub__(self, value, /)
| Return self-value.
|
| __truediv__(self, value, /)
| Return self/value.
|
| __trunc__(self, /)
| Return the Integral closest to x between 0 and x.
|
| as_integer_ratio(self, /)
| Return a pair of integers, whose ratio is exactly equal to the original float.
|
| The ratio is in lowest terms and has a positive denominator. Raise
| OverflowError on infinities and a ValueError on NaNs.
|
| >>> (10.0).as_integer_ratio()
| (10, 1)
| >>> (0.0).as_integer_ratio()
| (0, 1)
| >>> (-.25).as_integer_ratio()
| (-1, 4)
|
| conjugate(self, /)
| Return self, the complex conjugate of any float.
|
| hex(self, /)
| Return a hexadecimal representation of a floating-point number.
|
| >>> (-0.1).hex()
| '-0x1.999999999999ap-4'
| >>> 3.14159.hex()
| '0x1.921f9f01b866ep+1'
|
| is_integer(self, /)
| Return True if the float is an integer.
|
| ----------------------------------------------------------------------
| Class methods defined here:
|
| __getformat__(typestr, /)
| You probably don't want to use this function.
|
| typestr
| Must be 'double' or 'float'.
|
| It exists mainly to be used in Python's test suite.
|
| This function returns whichever of 'unknown', 'IEEE, big-endian' or 'IEEE,
| little-endian' best describes the format of floating-point numbers used by the
| C type named by typestr.
|
| fromhex(string, /)
| Create a floating-point number from a hexadecimal string.
|
| >>> float.fromhex('0x1.ffffp10')
| 2047.984375
| >>> float.fromhex('-0x1p-1074')
| -5e-324
|
| ----------------------------------------------------------------------
| Static methods defined here:
|
| __new__(*args, **kwargs)
| Create and return a new object. See help(type) for accurate signature.
|
| ----------------------------------------------------------------------
| Data descriptors defined here:
|
| imag
| the imaginary part of a complex number
|
| real
| the real part of a complex number
math.trunc
Python Library Documentation: built-in function trunc in module math
trunc(x, /)
Truncates the Real x to the nearest Integral toward 0.
Uses the __trunc__ magic method.
math.ulp
Python Library Documentation: built-in function ulp in module math
ulp(x, /)
Return the value of the least significant bit of the float x.