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36 lines
817 B
Plaintext
36 lines
817 B
Plaintext
NAME
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ln - logarithm function
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SYNOPSIS
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ln(x [,eps])
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TYPES
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x nonzero real or complex
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eps nonzero real, defaults to epsilon()
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return real or complex
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DESCRIPTION
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Approximate the natural logarithm function of x by a multiple of
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epsilon, the error having absolute value less than 0.75 * eps.
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If n is a positive integer, ln(x, 10^-n) will usually be correct
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to the n-th decimal place.
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EXAMPLE
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> print ln(10, 1e-5), ln(10, 1e-10), ln(10, 1e-15), ln(10, 1e-20)
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2.30259 2.302585093 2.302585092994046 2.30258509299404568402
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> print ln(2+3i, 1e-5), ln(2+3i, 1e-10)
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1.28247+.98279i 1.2824746787+.9827937232i
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LIMITS
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x != 0
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eps > 0
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LIBRARY
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NUMBER *qln(NUMBER *x, NUMBER *eps)
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COMPLEX *cln(COMPLEX *x, NUMBER *eps)
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SEE ALSO
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exp, acosh, asinh, atanh
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