[855] | 1 | /////////////////////////////////////////////////////////////////////////// |
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| 2 | // |
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| 3 | // Copyright (c) 2002, Industrial Light & Magic, a division of Lucas |
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| 4 | // Digital Ltd. LLC |
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| 5 | // |
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| 6 | // All rights reserved. |
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| 7 | // |
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| 8 | // Redistribution and use in source and binary forms, with or without |
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| 9 | // modification, are permitted provided that the following conditions are |
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| 10 | // met: |
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| 11 | // * Redistributions of source code must retain the above copyright |
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| 12 | // notice, this list of conditions and the following disclaimer. |
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| 13 | // * Redistributions in binary form must reproduce the above |
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| 14 | // copyright notice, this list of conditions and the following disclaimer |
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| 15 | // in the documentation and/or other materials provided with the |
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| 16 | // distribution. |
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| 17 | // * Neither the name of Industrial Light & Magic nor the names of |
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| 18 | // its contributors may be used to endorse or promote products derived |
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| 19 | // from this software without specific prior written permission. |
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| 20 | // |
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| 21 | // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS |
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| 22 | // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT |
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| 23 | // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR |
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| 24 | // A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT |
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| 25 | // OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, |
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| 26 | // SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT |
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| 27 | // LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, |
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| 28 | // DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY |
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| 29 | // THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT |
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| 30 | // (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE |
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| 31 | // OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. |
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| 32 | // |
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| 33 | /////////////////////////////////////////////////////////////////////////// |
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| 34 | |
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| 35 | // Primary authors: |
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| 36 | // Florian Kainz <kainz@ilm.com> |
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| 37 | // Rod Bogart <rgb@ilm.com> |
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| 38 | |
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| 39 | |
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| 40 | //--------------------------------------------------------------------------- |
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| 41 | // |
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| 42 | // halfFunction<T> -- a class for fast evaluation |
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| 43 | // of half --> T functions |
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| 44 | // |
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| 45 | // The constructor for a halfFunction object, |
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| 46 | // |
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| 47 | // halfFunction (function, |
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| 48 | // domainMin, domainMax, |
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| 49 | // defaultValue, |
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| 50 | // posInfValue, negInfValue, |
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| 51 | // nanValue); |
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| 52 | // |
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| 53 | // evaluates the function for all finite half values in the interval |
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| 54 | // [domainMin, domainMax], and stores the results in a lookup table. |
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| 55 | // For finite half values that are not in [domainMin, domainMax], the |
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| 56 | // constructor stores defaultValue in the table. For positive infinity, |
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| 57 | // negative infinity and NANs, posInfValue, negInfValue and nanValue |
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| 58 | // are stored in the table. |
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| 59 | // |
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| 60 | // The tabulated function can then be evaluated quickly for arbitrary |
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| 61 | // half values by calling the the halfFunction object's operator() |
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| 62 | // method. |
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| 63 | // |
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| 64 | // Example: |
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| 65 | // |
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| 66 | // #include <math.h> |
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| 67 | // #include <halfFunction.h> |
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| 68 | // |
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| 69 | // halfFunction<half> hsin (sin); |
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| 70 | // |
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| 71 | // halfFunction<half> hsqrt (sqrt, // function |
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| 72 | // 0, HALF_MAX, // domain |
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| 73 | // half::qNan(), // sqrt(x) for x < 0 |
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| 74 | // half::posInf(), // sqrt(+inf) |
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| 75 | // half::qNan(), // sqrt(-inf) |
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| 76 | // half::qNan()); // sqrt(nan) |
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| 77 | // |
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| 78 | // half x = hsin (1); |
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| 79 | // half y = hsqrt (3.5); |
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| 80 | // |
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| 81 | //--------------------------------------------------------------------------- |
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| 82 | |
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| 83 | #ifndef _HALF_FUNCTION_H_ |
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| 84 | #define _HALF_FUNCTION_H_ |
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| 85 | |
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| 86 | #include <float.h> |
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| 87 | #include <half.h> |
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| 88 | |
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| 89 | |
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| 90 | template <class T> |
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| 91 | class halfFunction |
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| 92 | { |
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| 93 | public: |
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| 94 | |
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| 95 | //------------ |
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| 96 | // Constructor |
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| 97 | //------------ |
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| 98 | |
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| 99 | template <class Function> |
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| 100 | halfFunction (Function f, |
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| 101 | half domainMin = -HALF_MAX, |
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| 102 | half domainMax = HALF_MAX, |
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| 103 | T defaultValue = 0, |
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| 104 | T posInfValue = 0, |
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| 105 | T negInfValue = 0, |
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| 106 | T nanValue = 0); |
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| 107 | |
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| 108 | //----------- |
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| 109 | // Evaluation |
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| 110 | //----------- |
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| 111 | |
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| 112 | T operator () (half x) const; |
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| 113 | |
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| 114 | private: |
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| 115 | |
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| 116 | T _lut[1 << 16]; |
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| 117 | }; |
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| 118 | |
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| 119 | |
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| 120 | //--------------- |
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| 121 | // Implementation |
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| 122 | //--------------- |
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| 123 | |
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| 124 | template <class T> |
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| 125 | template <class Function> |
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| 126 | halfFunction<T>::halfFunction (Function f, |
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| 127 | half domainMin, |
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| 128 | half domainMax, |
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| 129 | T defaultValue, |
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| 130 | T posInfValue, |
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| 131 | T negInfValue, |
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| 132 | T nanValue) |
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| 133 | { |
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| 134 | for (int i = 0; i < (1 << 16); i++) |
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| 135 | { |
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| 136 | half x; |
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| 137 | x.setBits (i); |
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| 138 | |
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| 139 | if (x.isNan()) |
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| 140 | _lut[i] = nanValue; |
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| 141 | else if (x.isInfinity()) |
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| 142 | _lut[i] = x.isNegative()? negInfValue: posInfValue; |
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| 143 | else if (x < domainMin || x > domainMax) |
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| 144 | _lut[i] = defaultValue; |
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| 145 | else |
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| 146 | _lut[i] = f (x); |
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| 147 | } |
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| 148 | } |
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| 149 | |
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| 150 | |
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| 151 | template <class T> |
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| 152 | inline T |
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| 153 | halfFunction<T>::operator () (half x) const |
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| 154 | { |
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| 155 | return _lut[x.bits()]; |
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| 156 | } |
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| 157 | |
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| 158 | |
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| 159 | #endif |
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