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File: //proc/thread-self/root/usr/local/lib/python3.7/lib-dynload/math.cpython-37m-x86_64-linux-gnu.so
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B� ���8	���o`���o�o����o�h� &&&&6&F&V&f&v&�&�&�&�&�&�&�&�&''&'6'F'V'f'v'�'�'�'�'�'�'�'�'((&(6(F(V(f(v(�(�(�(�(�(�(�(�())&)6)F)V)f)v)�)�)�)�)�)�)This module provides access to the mathematical functions
defined by the C standard.tanh($module, x, /)
--

Return the hyperbolic tangent of x.tan($module, x, /)
--

Return the tangent of x (measured in radians).sqrt($module, x, /)
--

Return the square root of x.sinh($module, x, /)
--

Return the hyperbolic sine of x.sin($module, x, /)
--

Return the sine of x (measured in radians).remainder($module, 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.log1p($module, x, /)
--

Return the natural logarithm of 1+x (base e).

The result is computed in a way which is accurate for x near zero.lgamma($module, x, /)
--

Natural logarithm of absolute value of Gamma function at x.gamma($module, x, /)
--

Gamma function at x.fabs($module, x, /)
--

Return the absolute value of the float x.expm1($module, x, /)
--

Return exp(x)-1.

This function avoids the loss of precision involved in the direct evaluation of exp(x)-1 for small x.exp($module, x, /)
--

Return e raised to the power of x.erfc($module, x, /)
--

Complementary error function at x.erf($module, x, /)
--

Error function at x.cosh($module, x, /)
--

Return the hyperbolic cosine of x.cos($module, x, /)
--

Return the cosine of x (measured in radians).copysign($module, 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.
atanh($module, x, /)
--

Return the inverse hyperbolic tangent of x.atan2($module, 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.atan($module, x, /)
--

Return the arc tangent (measured in radians) of x.asinh($module, x, /)
--

Return the inverse hyperbolic sine of x.asin($module, x, /)
--

Return the arc sine (measured in radians) of x.acosh($module, x, /)
--

Return the inverse hyperbolic cosine of x.acos($module, x, /)
--

Return the arc cosine (measured in radians) of x.isclose($module, /, 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.isinf($module, x, /)
--

Return True if x is a positive or negative infinity, and False otherwise.isnan($module, x, /)
--

Return True if x is a NaN (not a number), and False otherwise.isfinite($module, x, /)
--

Return True if x is neither an infinity nor a NaN, and False otherwise.radians($module, x, /)
--

Convert angle x from degrees to radians.degrees($module, x, /)
--

Convert angle x from radians to degrees.pow($module, x, y, /)
--

Return x**y (x to the power of y).hypot($module, x, y, /)
--

Return the Euclidean distance, sqrt(x*x + y*y).fmod($module, x, y, /)
--

Return fmod(x, y), according to platform C.

x % y may differ.log10($module, x, /)
--

Return the base 10 logarithm of x.log2($module, x, /)
--

Return the base 2 logarithm of x.log(x, [base=math.e])
Return the logarithm of x to the given base.

If the base not specified, returns the natural logarithm (base e) of x.modf($module, x, /)
--

Return the fractional and integer parts of x.

Both results carry the sign of x and are floats.ldexp($module, x, i, /)
--

Return x * (2**i).

This is essentially the inverse of frexp().frexp($module, 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.trunc($module, x, /)
--

Truncates the Real x to the nearest Integral toward 0.

Uses the __trunc__ magic method.factorial($module, x, /)
--

Find x!.

Raise a ValueError if x is negative or non-integral.fsum($module, seq, /)
--

Return an accurate floating point sum of values in the iterable seq.

Assumes IEEE-754 floating point arithmetic.floor($module, x, /)
--

Return the floor of x as an Integral.

This is the largest integer <= x.ceil($module, x, /)
--

Return the ceiling of x as an Integral.

This is the smallest integer >= x.gcd($module, x, y, /)
--

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