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33 lines
685 B
Plaintext
33 lines
685 B
Plaintext
NAME
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asec - inverse trigonometric secant
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SYNOPSIS
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asec(x [,eps])
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TYPES
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x real, with absolute value >= 1
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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 asec of x to a multiple of eps with error less in
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absolute value than .75 * eps.
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v = asec(x) is the number in [0, pi] for which sec(v) = x.
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EXAMPLE
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> print asec(2, 1e-5), asec(2, 1e-10), asec(2, 1e-15), asec(2, 1e-20)
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1.0472 1.0471975512 1.047197551196598 1.04719755119659774615
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LIMITS
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unlike sin and cos, x must be real
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abs(x) >= 1
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eps > 0
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LIBRARY
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NUMBER *qasec(NUMBER *x, NUMBER *eps)
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SEE ALSO
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asin, acos, atan, acsc, acot, epsilon
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