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///////////////////////////////////////////////////////////////////////////
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// Copyright (c) 2002, Industrial Light & Magic, a division of Lucas
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// All rights reserved.
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// Redistribution and use in source and binary forms, with or without
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// modification, are permitted provided that the following conditions are
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// * Redistributions of source code must retain the above copyright
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// notice, this list of conditions and the following disclaimer.
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// * Redistributions in binary form must reproduce the above
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// copyright notice, this list of conditions and the following disclaimer
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// in the documentation and/or other materials provided with the
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// * Neither the name of Industrial Light & Magic nor the names of
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// its contributors may be used to endorse or promote products derived
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// from this software without specific prior written permission.
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// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
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// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
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// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
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// OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
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// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
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// LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
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// DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
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// THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
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// (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
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// OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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///////////////////////////////////////////////////////////////////////////
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// Florian Kainz <kainz@ilm.com>
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// Rod Bogart <rgb@ilm.com>
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//---------------------------------------------------------------------------
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// halfFunction<T> -- a class for fast evaluation
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// of half --> T functions
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// The constructor for a halfFunction object,
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// halfFunction (function,
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// domainMin, domainMax,
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// posInfValue, negInfValue,
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// evaluates the function for all finite half values in the interval
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// [domainMin, domainMax], and stores the results in a lookup table.
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// For finite half values that are not in [domainMin, domainMax], the
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// constructor stores defaultValue in the table. For positive infinity,
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// negative infinity and NANs, posInfValue, negInfValue and nanValue
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// are stored in the table.
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// The tabulated function can then be evaluated quickly for arbitrary
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// half values by calling the the halfFunction object's operator()
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// #include <halfFunction.h>
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// halfFunction<half> hsin (sin);
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// halfFunction<half> hsqrt (sqrt, // function
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// 0, HALF_MAX, // domain
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// half::qNan(), // sqrt(x) for x < 0
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// half::posInf(), // sqrt(+inf)
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// half::qNan(), // sqrt(-inf)
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// half::qNan()); // sqrt(nan)
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// half y = hsqrt (3.5);
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//---------------------------------------------------------------------------
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#ifndef _HALF_FUNCTION_H_
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#define _HALF_FUNCTION_H_
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#include <IlmBaseConfig.h>
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#ifndef ILMBASE_HAVE_LARGE_STACK
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#include <string.h> // need this for memset
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template <class Function>
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halfFunction (Function f,
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half domainMin = -HALF_MAX,
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half domainMax = HALF_MAX,
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#ifndef ILMBASE_HAVE_LARGE_STACK
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~halfFunction () { delete [] _lut; }
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T operator () (half x) const;
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#ifdef ILMBASE_HAVE_LARGE_STACK
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template <class Function>
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halfFunction<T>::halfFunction (Function f,
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#ifndef ILMBASE_HAVE_LARGE_STACK
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memset (_lut, 0 , (1<<16) * sizeof(T));
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for (int i = 0; i < (1 << 16); i++)
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else if (x.isInfinity())
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_lut[i] = x.isNegative()? negInfValue: posInfValue;
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else if (x < domainMin || x > domainMax)
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_lut[i] = defaultValue;
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halfFunction<T>::operator () (half x) const
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return _lut[x.bits()];