Mercurial > hgrepos > Python2 > PyMuPDF
annotate mupdf-source/source/fitz/ftoa.c @ 2:b50eed0cc0ef upstream
ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
The directory name has changed: no version number in the expanded directory now.
| author | Franz Glasner <fzglas.hg@dom66.de> |
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| date | Mon, 15 Sep 2025 11:43:07 +0200 |
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1 #include "mupdf/fitz.h" |
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2 |
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3 #include <assert.h> |
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4 |
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5 /* |
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6 Convert IEEE single precision numbers into decimal ASCII strings, while |
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7 satisfying the following two properties: |
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8 1) Calling strtof or '(float) strtod' on the result must produce the |
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9 original float, independent of the rounding mode used by strtof/strtod. |
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10 2) Minimize the number of produced decimal digits. E.g. the float 0.7f |
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11 should convert to "0.7", not "0.69999999". |
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12 |
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13 To solve this we use a dedicated single precision version of |
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14 Florian Loitsch's Grisu2 algorithm. See |
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15 http://florian.loitsch.com/publications/dtoa-pldi2010.pdf?attredirects=0 |
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16 |
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17 The code below is derived from Loitsch's C code, which |
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18 implements the same algorithm for IEEE double precision. See |
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19 http://florian.loitsch.com/publications/bench.tar.gz?attredirects=0 |
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20 */ |
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21 |
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22 /* |
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23 Copyright (c) 2009 Florian Loitsch |
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24 |
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25 Permission is hereby granted, free of charge, to any person |
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26 obtaining a copy of this software and associated documentation |
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27 files (the "Software"), to deal in the Software without |
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28 restriction, including without limitation the rights to use, |
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29 copy, modify, merge, publish, distribute, sublicense, and/or sell |
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30 copies of the Software, and to permit persons to whom the |
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31 Software is furnished to do so, subject to the following |
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32 conditions: |
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33 |
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34 The above copyright notice and this permission notice shall be |
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35 included in all copies or substantial portions of the Software. |
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36 |
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37 THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, |
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38 EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES |
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39 OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND |
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40 NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT |
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41 HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, |
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42 WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING |
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43 FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR |
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44 OTHER DEALINGS IN THE SOFTWARE. |
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45 */ |
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46 |
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47 static uint32_t |
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48 float_to_uint32(float d) |
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49 { |
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50 union |
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51 { |
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52 float d; |
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53 uint32_t n; |
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54 } tmp; |
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55 tmp.d = d; |
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56 return tmp.n; |
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57 } |
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58 |
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59 typedef struct |
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60 { |
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61 uint64_t f; |
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62 int e; |
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63 } diy_fp_t; |
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64 |
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65 #define DIY_SIGNIFICAND_SIZE 64 |
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66 #define DIY_LEADING_BIT ((uint64_t) 1 << (DIY_SIGNIFICAND_SIZE - 1)) |
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67 |
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68 static diy_fp_t |
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69 minus(diy_fp_t x, diy_fp_t y) |
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70 { |
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71 diy_fp_t result = {x.f - y.f, x.e}; |
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72 assert(x.e == y.e && x.f >= y.f); |
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73 return result; |
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74 } |
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75 |
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76 static diy_fp_t |
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77 multiply(diy_fp_t x, diy_fp_t y) |
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78 { |
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79 uint64_t a, b, c, d, ac, bc, ad, bd, tmp; |
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80 int half = DIY_SIGNIFICAND_SIZE / 2; |
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81 diy_fp_t r; uint64_t mask = ((uint64_t) 1 << half) - 1; |
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82 a = x.f >> half; b = x.f & mask; |
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83 c = y.f >> half; d = y.f & mask; |
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84 ac = a * c; bc = b * c; ad = a * d; bd = b * d; |
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85 tmp = (bd >> half) + (ad & mask) + (bc & mask); |
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86 tmp += ((uint64_t)1U) << (half - 1); /* Round. */ |
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87 r.f = ac + (ad >> half) + (bc >> half) + (tmp >> half); |
|
b50eed0cc0ef
ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
88 r.e = x.e + y.e + half * 2; |
|
b50eed0cc0ef
ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
89 return r; |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
90 } |
|
b50eed0cc0ef
ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
91 |
|
b50eed0cc0ef
ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
92 #define SP_SIGNIFICAND_SIZE 23 |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
93 #define SP_EXPONENT_BIAS (127 + SP_SIGNIFICAND_SIZE) |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
94 #define SP_MIN_EXPONENT (-SP_EXPONENT_BIAS) |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
95 #define SP_EXPONENT_MASK 0x7f800000 |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
96 #define SP_SIGNIFICAND_MASK 0x7fffff |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
97 #define SP_HIDDEN_BIT 0x800000 /* 2^23 */ |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
98 |
|
b50eed0cc0ef
ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
99 /* Does not normalize the result. */ |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
100 static diy_fp_t |
|
b50eed0cc0ef
ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
101 float2diy_fp(float d) |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
102 { |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
103 uint32_t d32 = float_to_uint32(d); |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
104 int biased_e = (d32 & SP_EXPONENT_MASK) >> SP_SIGNIFICAND_SIZE; |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
105 uint32_t significand = d32 & SP_SIGNIFICAND_MASK; |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
106 diy_fp_t res; |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
107 |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
108 if (biased_e != 0) |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
109 { |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
110 res.f = significand + SP_HIDDEN_BIT; |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
111 res.e = biased_e - SP_EXPONENT_BIAS; |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
112 } |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
113 else |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
114 { |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
115 res.f = significand; |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
116 res.e = SP_MIN_EXPONENT + 1; |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
117 } |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
118 return res; |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
119 } |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
120 |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
121 static diy_fp_t |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
122 normalize_boundary(diy_fp_t in) |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
123 { |
|
b50eed0cc0ef
ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
124 diy_fp_t res = in; |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
125 /* The original number could have been a denormal. */ |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
126 while (! (res.f & (SP_HIDDEN_BIT << 1))) |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
127 { |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
128 res.f <<= 1; |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
129 res.e--; |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
130 } |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
131 /* Do the final shifts in one go. */ |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
132 res.f <<= (DIY_SIGNIFICAND_SIZE - SP_SIGNIFICAND_SIZE - 2); |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
133 res.e = res.e - (DIY_SIGNIFICAND_SIZE - SP_SIGNIFICAND_SIZE - 2); |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
134 return res; |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
135 } |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
136 |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
137 static void |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
138 normalized_boundaries(float f, diy_fp_t* lower_ptr, diy_fp_t* upper_ptr) |
|
b50eed0cc0ef
ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
139 { |
|
b50eed0cc0ef
ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
140 diy_fp_t v = float2diy_fp(f); |
|
b50eed0cc0ef
ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
141 diy_fp_t upper, lower; |
|
b50eed0cc0ef
ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
142 int significand_is_zero = v.f == SP_HIDDEN_BIT; |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
143 |
|
b50eed0cc0ef
ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
144 upper.f = (v.f << 1) + 1; upper.e = v.e - 1; |
|
b50eed0cc0ef
ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
145 upper = normalize_boundary(upper); |
|
b50eed0cc0ef
ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
146 if (significand_is_zero) |
|
b50eed0cc0ef
ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
147 { |
|
b50eed0cc0ef
ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
148 lower.f = (v.f << 2) - 1; |
|
b50eed0cc0ef
ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
149 lower.e = v.e - 2; |
|
b50eed0cc0ef
ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
150 } |
|
b50eed0cc0ef
ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
151 else |
|
b50eed0cc0ef
ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
152 { |
|
b50eed0cc0ef
ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
153 lower.f = (v.f << 1) - 1; |
|
b50eed0cc0ef
ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
154 lower.e = v.e - 1; |
|
b50eed0cc0ef
ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
155 } |
|
b50eed0cc0ef
ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
156 lower.f <<= lower.e - upper.e; |
|
b50eed0cc0ef
ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
157 lower.e = upper.e; |
|
b50eed0cc0ef
ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
158 |
|
b50eed0cc0ef
ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
159 /* Adjust to double boundaries, so that we can also read the numbers with '(float) strtod'. */ |
|
b50eed0cc0ef
ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
160 upper.f -= 1 << 10; |
|
b50eed0cc0ef
ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
161 lower.f += 1 << 10; |
|
b50eed0cc0ef
ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
162 |
|
b50eed0cc0ef
ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
163 *upper_ptr = upper; |
|
b50eed0cc0ef
ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
164 *lower_ptr = lower; |
|
b50eed0cc0ef
ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
165 } |
|
b50eed0cc0ef
ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
166 |
|
b50eed0cc0ef
ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
167 static int |
|
b50eed0cc0ef
ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
168 k_comp(int n) |
|
b50eed0cc0ef
ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
169 { |
|
b50eed0cc0ef
ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
170 /* Avoid ceil and floating point multiplication for better |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
171 * performance and portability. Instead use the approximation |
|
b50eed0cc0ef
ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
172 * log10(2) ~ 1233/(2^12). Tests show that this gives the correct |
|
b50eed0cc0ef
ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
173 * result for all values of n in the range -500..500. */ |
|
b50eed0cc0ef
ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
174 int tmp = n + DIY_SIGNIFICAND_SIZE - 1; |
|
b50eed0cc0ef
ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
changeset
|
175 int k = (tmp * 1233) / (1 << 12); |
|
b50eed0cc0ef
ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
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|
176 return tmp > 0 ? k + 1 : k; |
|
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|
177 } |
|
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|
178 |
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|
179 /* Cached powers of ten from 10**-37..10**46. Produced using GNU MPFR's mpfr_pow_si. */ |
|
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180 |
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181 /* Significands. */ |
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|
182 static uint64_t powers_ten[84] = { |
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183 0x881cea14545c7575ull, 0xaa242499697392d3ull, 0xd4ad2dbfc3d07788ull, |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
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184 0x84ec3c97da624ab5ull, 0xa6274bbdd0fadd62ull, 0xcfb11ead453994baull, |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
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185 0x81ceb32c4b43fcf5ull, 0xa2425ff75e14fc32ull, 0xcad2f7f5359a3b3eull, |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
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186 0xfd87b5f28300ca0eull, 0x9e74d1b791e07e48ull, 0xc612062576589ddbull, |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
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187 0xf79687aed3eec551ull, 0x9abe14cd44753b53ull, 0xc16d9a0095928a27ull, |
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
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188 0xf1c90080baf72cb1ull, 0x971da05074da7befull, 0xbce5086492111aebull, |
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
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189 0xec1e4a7db69561a5ull, 0x9392ee8e921d5d07ull, 0xb877aa3236a4b449ull, |
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
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190 0xe69594bec44de15bull, 0x901d7cf73ab0acd9ull, 0xb424dc35095cd80full, |
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
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191 0xe12e13424bb40e13ull, 0x8cbccc096f5088ccull, 0xafebff0bcb24aaffull, |
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
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192 0xdbe6fecebdedd5bfull, 0x89705f4136b4a597ull, 0xabcc77118461cefdull, |
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
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193 0xd6bf94d5e57a42bcull, 0x8637bd05af6c69b6ull, 0xa7c5ac471b478423ull, |
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
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194 0xd1b71758e219652cull, 0x83126e978d4fdf3bull, 0xa3d70a3d70a3d70aull, |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
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195 0xcccccccccccccccdull, 0x8000000000000000ull, 0xa000000000000000ull, |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
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196 0xc800000000000000ull, 0xfa00000000000000ull, 0x9c40000000000000ull, |
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197 0xc350000000000000ull, 0xf424000000000000ull, 0x9896800000000000ull, |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
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198 0xbebc200000000000ull, 0xee6b280000000000ull, 0x9502f90000000000ull, |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
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|
199 0xba43b74000000000ull, 0xe8d4a51000000000ull, 0x9184e72a00000000ull, |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
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|
200 0xb5e620f480000000ull, 0xe35fa931a0000000ull, 0x8e1bc9bf04000000ull, |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
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|
201 0xb1a2bc2ec5000000ull, 0xde0b6b3a76400000ull, 0x8ac7230489e80000ull, |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
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|
202 0xad78ebc5ac620000ull, 0xd8d726b7177a8000ull, 0x878678326eac9000ull, |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
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|
203 0xa968163f0a57b400ull, 0xd3c21bcecceda100ull, 0x84595161401484a0ull, |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
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|
204 0xa56fa5b99019a5c8ull, 0xcecb8f27f4200f3aull, 0x813f3978f8940984ull, |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
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|
205 0xa18f07d736b90be5ull, 0xc9f2c9cd04674edfull, 0xfc6f7c4045812296ull, |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
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|
206 0x9dc5ada82b70b59eull, 0xc5371912364ce305ull, 0xf684df56c3e01bc7ull, |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
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|
207 0x9a130b963a6c115cull, 0xc097ce7bc90715b3ull, 0xf0bdc21abb48db20ull, |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
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|
208 0x96769950b50d88f4ull, 0xbc143fa4e250eb31ull, 0xeb194f8e1ae525fdull, |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
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|
209 0x92efd1b8d0cf37beull, 0xb7abc627050305aeull, 0xe596b7b0c643c719ull, |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
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|
210 0x8f7e32ce7bea5c70ull, 0xb35dbf821ae4f38cull, 0xe0352f62a19e306full, |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
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|
211 }; |
|
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212 |
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|
213 /* Exponents. */ |
|
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|
214 static int powers_ten_e[84] = { |
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215 -186, -183, -180, -176, -173, -170, -166, -163, -160, -157, -153, |
|
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216 -150, -147, -143, -140, -137, -133, -130, -127, -123, -120, -117, |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
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217 -113, -110, -107, -103, -100, -97, -93, -90, -87, -83, -80, |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
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218 -77, -73, -70, -67, -63, -60, -57, -54, -50, -47, -44, |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
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219 -40, -37, -34, -30, -27, -24, -20, -17, -14, -10, -7, |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
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220 -4, 0, 3, 6, 10, 13, 16, 20, 23, 26, 30, |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
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221 33, 36, 39, 43, 46, 49, 53, 56, 59, 63, 66, |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
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222 69, 73, 76, 79, 83, 86, 89 |
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|
223 }; |
|
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224 |
|
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|
225 static diy_fp_t |
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|
226 cached_power(int i) |
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|
227 { |
|
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|
228 diy_fp_t result; |
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229 |
|
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|
230 assert (i >= -37 && i <= 46); |
|
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|
231 result.f = powers_ten[i + 37]; |
|
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|
232 result.e = powers_ten_e[i + 37]; |
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233 return result; |
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|
234 } |
|
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235 |
|
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|
236 /* Returns buffer length. */ |
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|
237 static int |
|
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238 digit_gen_mix_grisu2(diy_fp_t D_upper, diy_fp_t delta, char* buffer, int* K) |
|
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|
239 { |
|
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|
240 int kappa; |
|
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Franz Glasner <fzglas.hg@dom66.de>
parents:
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|
241 diy_fp_t one = {(uint64_t) 1 << -D_upper.e, D_upper.e}; |
|
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|
242 unsigned char p1 = D_upper.f >> -one.e; |
|
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|
243 uint64_t p2 = D_upper.f & (one.f - 1); |
|
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Franz Glasner <fzglas.hg@dom66.de>
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|
244 unsigned char div = 10; |
|
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parents:
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|
245 uint64_t mask = one.f - 1; |
|
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|
246 int len = 0; |
|
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|
247 for (kappa = 2; kappa > 0; --kappa) |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
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|
248 { |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
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parents:
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|
249 unsigned char digit = p1 / div; |
|
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parents:
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|
250 if (digit || len) |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
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parents:
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|
251 buffer[len++] = '0' + digit; |
|
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Franz Glasner <fzglas.hg@dom66.de>
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|
252 p1 %= div; div /= 10; |
|
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Franz Glasner <fzglas.hg@dom66.de>
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|
253 if ((((uint64_t) p1) << -one.e) + p2 <= delta.f) |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
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|
254 { |
|
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ADD: MuPDF v1.26.7: the MuPDF source as downloaded by a default build of PyMuPDF 1.26.4.
Franz Glasner <fzglas.hg@dom66.de>
parents:
diff
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|
255 *K += kappa - 1; |
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256 return len; |
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257 } |
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258 } |
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259 do |
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260 { |
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261 p2 *= 10; |
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262 buffer[len++] = '0' + (p2 >> -one.e); |
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263 p2 &= mask; |
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264 kappa--; |
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265 delta.f *= 10; |
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266 } |
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267 while (p2 > delta.f); |
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268 *K += kappa; |
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269 return len; |
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270 } |
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271 |
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272 /* |
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273 Compute decimal integer m, exp such that: |
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274 f = m * 10^exp |
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275 m is as short as possible without losing exactness |
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276 Assumes special cases (0, NaN, +Inf, -Inf) have been handled. |
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277 */ |
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278 int |
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279 fz_grisu(float v, char* buffer, int* K) |
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280 { |
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281 diy_fp_t w_lower, w_upper, D_upper, D_lower, c_mk, delta; |
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282 int length, mk, alpha = -DIY_SIGNIFICAND_SIZE + 4; |
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283 |
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284 normalized_boundaries(v, &w_lower, &w_upper); |
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285 mk = k_comp(alpha - w_upper.e - DIY_SIGNIFICAND_SIZE); |
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286 c_mk = cached_power(mk); |
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287 |
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288 D_upper = multiply(w_upper, c_mk); |
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289 D_lower = multiply(w_lower, c_mk); |
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290 |
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291 D_upper.f--; |
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292 D_lower.f++; |
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293 |
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294 delta = minus(D_upper, D_lower); |
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295 |
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296 *K = -mk; |
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297 length = digit_gen_mix_grisu2(D_upper, delta, buffer, K); |
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298 |
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299 buffer[length] = 0; |
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300 return length; |
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301 } |
