1 | /******************************************************************************
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2 | Copyright (c) 2014 Ryan Juckett
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3 | http://www.ryanjuckett.com/
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4 |
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5 | This software is provided 'as-is', without any express or implied
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6 | warranty. In no event will the authors be held liable for any damages
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7 | arising from the use of this software.
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8 |
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9 | Permission is granted to anyone to use this software for any purpose,
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10 | including commercial applications, and to alter it and redistribute it
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11 | freely, subject to the following restrictions:
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12 |
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13 | 1. The origin of this software must not be misrepresented; you must not
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14 | claim that you wrote the original software. If you use this software
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15 | in a product, an acknowledgment in the product documentation would be
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16 | appreciated but is not required.
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17 |
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18 | 2. Altered source versions must be plainly marked as such, and must not be
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19 | misrepresented as being the original software.
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20 |
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21 | 3. This notice may not be removed or altered from any source
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22 | distribution.
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23 | ******************************************************************************/
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24 |
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25 | #ifndef RJ__Dragon4_h
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26 | #define RJ__Dragon4_h
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27 |
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28 | #include "Standard.h"
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29 |
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30 | //******************************************************************************
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31 | // Different modes for terminating digit output
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32 | //******************************************************************************
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33 | enum tCutoffMode
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34 | {
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35 | CutoffMode_Unique, // as many digits as necessary to print a uniquely identifiable number
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36 | CutoffMode_TotalLength, // up to cutoffNumber significant digits
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37 | CutoffMode_FractionLength, // up to cutoffNumber significant digits past the decimal point
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38 | };
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39 |
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40 | //******************************************************************************
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41 | // This is an implementation the Dragon4 algorithm to convert a binary number
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42 | // in floating point format to a decimal number in string format. The function
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43 | // returns the number of digits written to the output buffer and the output is
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44 | // not NUL terminated.
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45 | //
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46 | // The floating point input value is (mantissa * 2^exponent).
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47 | //
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48 | // See the following papers for more information on the algorithm:
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49 | // "How to Print Floating-Point Numbers Accurately"
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50 | // Steele and White
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51 | // http://kurtstephens.com/files/p372-steele.pdf
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52 | // "Printing Floating-Point Numbers Quickly and Accurately"
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53 | // Burger and Dybvig
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54 | // http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.72.4656&rep=rep1&type=pdf
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55 | //******************************************************************************
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56 | tU32 Dragon4
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57 | (
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58 | const tU64 mantissa, // value significand
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59 | const tS32 exponent, // value exponent in base 2
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60 | const tU32 mantissaHighBitIdx, // index of the highest set mantissa bit
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61 | const tB hasUnequalMargins, // is the high margin twice as large as the low margin
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62 | const tCutoffMode cutoffMode, // how to determine output length
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63 | tU32 cutoffNumber, // parameter to the selected cutoffMode
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64 | tC8 * pOutBuffer, // buffer to output into
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65 | tU32 bufferSize, // maximum characters that can be printed to pOutBuffer
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66 | tS32 * pOutExponent // the base 10 exponent of the first digit
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67 | );
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68 |
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69 | #endif
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