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42 lines
1.1 KiB
Plaintext
42 lines
1.1 KiB
Plaintext
NAME
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exp - exponential function
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SYNOPSIS
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exp(x [,eps])
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TYPES
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x 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 exponential function of x by a multiple of epsilon,
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the error having absolute value less than 0.75 * eps.
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If n is a positive integer, exp(x, 10^-n) will usually be
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correct to the n-th decimal place, which, for large positive x
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will give many significant figures.
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EXAMPLE
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> print exp(2, 1e-5), exp(2,1e-10), exp(2, 1e-15), exp(2, 1e-20)
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7.38906 7.3890560989 7.38905609893065 7.38905609893065022723
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> print exp(30, 1e5), exp(30, 1), exp(30, 1e-10)
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10686474600000 10686474581524 10686474581524.4621469905
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> print exp(-20, 1e-5), exp(-20, 1e-10), exp(-20, 1e-15), exp(-20, 1e-20)
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0 .0000000021 .000000002061154 .00000000206115362244
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> print exp(1+2i, 1e-5), exp(1+2i, 1e-10)
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-1.1312+2.47173i -1.1312043838+2.471726672i
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LIMITS
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x < 100000
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LIBRARY
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NUMBER *qexp(NUMBER *x, NUMBER *eps)
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COMPLEX *cexp(COMPLEX *x, NUMBER *eps)
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SEE ALSO
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ln, cosh, sinh, tanh
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