Functions Known to evalc
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Description
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The following functions are known to evalc, in the sense that their real and imaginary parts are known for all complex arguments in their domains.
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sin
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cos
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tan
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csc
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sec
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cot
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sinh
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cosh
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tanh
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csch
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sech
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coth
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arcsin
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arccos
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arctan
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arccsc
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arcsec
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arccot
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arcsinh
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arccosh
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arctanh
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arccsch
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arcsech
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arccoth
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exp
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ln
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sqrt
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`^`
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abs
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conjugate
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polar
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argument
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signum
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csgn
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Re
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Im
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The following functions are partially known to evalc, in the sense that their real and imaginary parts are known for some complex arguments in their domains, and/or it is known that the functions are not real valued everywhere on the real line.
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Ei
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LambertW
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Psi
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dilog
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surd
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Ci
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Si
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Chi
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Shi
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Ssi
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If evalc is applied to an expression involving RootOfs of polynomials, the polynomials are split into pairs of polynomials whose roots include the real and imaginary parts of the roots of the original polynomials.
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If evalc is applied to an expression involving ints (or sums), each such integral (or sum) are split into two integrals (or sums) of real functions, giving the real and imaginary parts of the original integrals (or sums).
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evalc assumes that all variables represent real-valued quantities. evalc further assumes that unknown functions of real variables are real valued.
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