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Dzu$fTf(f$fTfVf(f4$fTfV5f(^fD$fTfV>fDL$$Hlff.SH=7 HHrH5HHsH5HHTH5wHH51H5HH1 H5\HHH[@f.zuf+HHd:radiansd:degreesd:isnand:isinfd:isfiniteintermediate overflow in fsummath.fsum partials-inf + inf in fsummath domain errormath range errorremaindercopysignatan2dd:fmoddd:powd:modf(dd)OO:logdO:ldexpdd:hypotgcdd:frexp(di)pitau__ceil____floor__brel_tolabs_toldd|$dd:isclose__trunc__mathacosacoshasinasinhatanatanhceilerferfcexpm1fabsfactorialfloorlgammalog1plog10log2sqrttruncPx_7a(s(;LXww0uw~Cs+|g!??@@8@^@@@@&AKAAA2A(;L4BuwsBuwB7Bs6Ch0{CZAC Ƶ;(DlYaRwNDAiAApqAAqqiA{DAA@@P@?CQBWLup#B2 B&"B补A?tA*_{ A]v}ALPEA뇇BAX@R;{`Zj@' @factorial() only accepts integral valuesfactorial() argument should not exceed %ldfactorial() not defined for negative valuestype %.100s doesn't define __trunc__ methodtolerances must be non-negativemath.log requires 1 to 2 argumentsExpected an int as second argument to ldexp.@9RFߑ?cܥL@@-DT! @???& .>#B ;E@HP?7@i@E@-DT! a@?iW @-DT!@?-DT!?!3|@-DT!?-DT! @;AP0X p@`0P0H``Xp @`0H `@x`p(@Xp@ ` 0P p @  p0 ` p  @ @` zRx $@FJ w?;*3$"D \ZD P A |ZD P A (UD  V hZD P A ZD P A ZD P A L(BEB B(A0A8G 8A0A(B BBBA \l"BND A(G@u (D ABBF  (A ABBJ X (A ABBB LBBB B(A0A8G` 8A0A(B BBBA H4@DL8BAD F AEE K AEG Q DEF $AQp: AC $(D o E E C \BED D(D@ (C ABBA ] (D ABBJ j(C ABBD`\htpx4Ld|4ADD0f EAK DCA@,8D0\(,t AQD` AAD <AND0n AAE X AAF aAF<,8AND0n AAE X AAF aAF$l9AQP AH $qD0 E L D ,AND` AAD D@ C , hH z F c E H H Y,<2ADG@V AAD l$H V B ~ B H,`vADDP AAG $H V B ~ B H,8H@q G  F D D U K ,LANFP AAC $|AQP AA 4`BYD DP  AABG $(H0{ E  I O I $ AN@ AA , xtD  D L Al x--mcbbb| Ycx ( a| | o` 0   H" oooDo| )&)6)F)V)f)v)))))))))**&*6*F*V*f*v*********++&+6+F+V+f+v+++++++++,,&,6,F,V,f,v,,,,,,,,,--&-6-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. 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