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33 lines
655 B
Plaintext
33 lines
655 B
Plaintext
NAME
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asinh - inverse hyperbolic sine
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SYNOPSIS
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asinh(x [,eps])
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TYPES
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x real
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eps nonzero real, defaults to epsilon()
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return real
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DESCRIPTION
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Returns the asinh of x to a multiple of eps with error less in
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absolute value than .75 * eps.
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asinh(x) is the real number v for which sinh(v) = x. It is given by
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asinh(x) = ln(x + sqrt(1 + x^2))
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EXAMPLE
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> print asinh(2, 1e-5), asinh(2, 1e-10), asinh(2, 1e-15), asinh(2, 1e-20)
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1.44363 1.4436354752 1.44363547517881 1.44363547517881034249
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LIMITS
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none
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LIBRARY
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NUMBER *qasinh(NUMBER *x, NUMBER *eps)
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SEE ALSO
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acosh, atanh, asech, acsch, acoth, epsilon
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