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	Improve our private implementation of cbrt() to give results of the
accuracy expected by the regression tests. Per suggestion from Martijn van Oosterhout.
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		@@ -8,7 +8,7 @@
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 *
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 *
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 * IDENTIFICATION
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 *	  $PostgreSQL: pgsql/src/backend/utils/adt/float.c,v 1.115 2005/10/15 02:49:28 momjian Exp $
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 *	  $PostgreSQL: pgsql/src/backend/utils/adt/float.c,v 1.115.2.1 2006/04/24 20:36:41 tgl Exp $
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 *
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 *-------------------------------------------------------------------------
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 */
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@@ -2321,11 +2321,22 @@ float84ge(PG_FUNCTION_ARGS)
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/* ========== PRIVATE ROUTINES ========== */
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#ifndef HAVE_CBRT
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static double
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cbrt(double x)
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{
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	int			isneg = (x < 0.0);
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	double		tmpres = pow(fabs(x), (double) 1.0 / (double) 3.0);
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	double		absx = fabs(x);
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	double		tmpres = pow(absx, (double) 1.0 / (double) 3.0);
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	/*
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	 * The result is somewhat inaccurate --- not really pow()'s fault,
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	 * as the exponent it's handed contains roundoff error.  We can improve
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	 * the accuracy by doing one iteration of Newton's formula.  Beware of
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	 * zero input however.
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	 */
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	if (tmpres > 0.0)
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		tmpres -= (tmpres - absx/(tmpres*tmpres)) / (double) 3.0;
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	return isneg ? -tmpres : tmpres;
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}
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