OpenSystemsDevelopment / qpdf

Commit 07f40bd25442f25c0af948ae1b0dac7fdff1688c

Authored by Jay Berkenbilt
1 parent 8fbc8579

QUtil::double_to_string: trim trailing zeroes with option to disable

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Showing 55 changed files with 5294 additions and 5190 deletions
ChangeLog
  View file @07f40bd
  1 +2021-02-12 Jay Berkenbilt <ejb@ql.org>
  2 +
  3 + * QUtil::double_to_string: trim trailing zeroes by default, and
  4 + add option to not trim trailing zeroes. This causes a syntactic
  5 + but semantically preserving change in output when doubles are
  6 + converted to strings. The library uses double_to_string in only a
  7 + few places. In practice, output will be different (trailing zeroes
  8 + removed) in code that creates form XObjects (mostly generation of
  9 + appearance streams for form fields as well as overlay and
  10 + underlay) and in the flatten rotation code that was added in qpdf
  11 + 10.1.
  12 +
1 13 2021-02-10 Jay Berkenbilt <ejb@ql.org>
2 14  
3 15 * Require a C++-14 compiler.
... ...
examples/qtest/double-page-size/out.pdf
  View file @07f40bd
... ... @@ -7,10 +7,10 @@ endobj
7 7 << /Count 2 /Kids [ 3 0 R 4 0 R ] /Type /Pages >>
8 8 endobj
9 9 3 0 obj
10   -<< /Contents [ 5 0 R 6 0 R ] /MediaBox [ 0.00 0.00 1224.00 1584.00 ] /Parent 2 0 R /Resources << /Font << /F1 7 0 R >> /ProcSet 8 0 R >> /Type /Page >>
  10 +<< /Contents [ 5 0 R 6 0 R ] /MediaBox [ 0 0 1224 1584 ] /Parent 2 0 R /Resources << /Font << /F1 7 0 R >> /ProcSet 8 0 R >> /Type /Page >>
11 11 endobj
12 12 4 0 obj
13   -<< /Contents [ 9 0 R 10 0 R ] /MediaBox [ 0.00 0.00 1224.00 1584.00 ] /Parent 2 0 R /Resources << /Font << /F1 7 0 R >> /ProcSet 8 0 R >> /Type /Page >>
  13 +<< /Contents [ 9 0 R 10 0 R ] /MediaBox [ 0 0 1224 1584 ] /Parent 2 0 R /Resources << /Font << /F1 7 0 R >> /ProcSet 8 0 R >> /Type /Page >>
14 14 endobj
15 15 5 0 obj
16 16 << /Length 15 >>
... ... @@ -56,14 +56,14 @@ xref
56 56 0000000015 00000 n
57 57 0000000064 00000 n
58 58 0000000129 00000 n
59   -0000000296 00000 n
60   -0000000464 00000 n
61   -0000000528 00000 n
62   -0000000621 00000 n
63   -0000000728 00000 n
64   -0000000758 00000 n
65   -0000000822 00000 n
  59 +0000000284 00000 n
  60 +0000000440 00000 n
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  65 +0000000798 00000 n
66 66 trailer << /Root 1 0 R /Size 11 /ID [<071a6499182be9cfc990b11d0c4e5bc0><31415926535897932384626433832795>] >>
67 67 startxref
68   -915
  68 +891
69 69 %%EOF
... ...
examples/qtest/filter-tokens/a.pdf
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examples/qtest/filter-tokens/out.pdf
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examples/qtest/overlay-page/out.pdf
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examples/qtest/set-form-values/form-out.pdf
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include/qpdf/QPDFObjectHandle.hh
  View file @07f40bd
... ... @@ -476,6 +476,11 @@ class QPDFObjectHandle
476 476 static QPDFObjectHandle newReal(std::string const& value);
477 477 QPDF_DLL
478 478 static QPDFObjectHandle newReal(double value, int decimal_places = 0);
  479 + // ABI: combine with other newReal by adding trim_trailing_zeroes
  480 + // above as an optional parameter with a default of true.
  481 + QPDF_DLL
  482 + static QPDFObjectHandle newReal(double value, int decimal_places,
  483 + bool trim_trailing_zeroes);
479 484 QPDF_DLL
480 485 static QPDFObjectHandle newName(std::string const& name);
481 486 QPDF_DLL
... ...
include/qpdf/QUtil.hh
  View file @07f40bd
... ... @@ -47,9 +47,16 @@ namespace QUtil
47 47 QPDF_DLL
48 48 std::string int_to_string_base(long long, int base, int length = 0);
49 49 QPDF_DLL
50   - std::string uint_to_string_base(unsigned long long, int base, int length = 0);
  50 + std::string uint_to_string_base(unsigned long long, int base,
  51 + int length = 0);
51 52 QPDF_DLL
52 53 std::string double_to_string(double, int decimal_places = 0);
  54 + // ABI: combine with other double_to_string by adding
  55 + // trim_trailing_zeroes above as an optional parameter with a
  56 + // default of true.
  57 + QPDF_DLL
  58 + std::string double_to_string(double, int decimal_places,
  59 + bool trim_trailing_zeroes);
53 60  
54 61 // These string to number methods throw std::runtime_error on
55 62 // underflow/overflow.
... ...
libqpdf/QPDFObjectHandle.cc
  View file @07f40bd
... ... @@ -2422,7 +2422,16 @@ QPDFObjectHandle::newReal(std::string const&amp; value)
2422 2422 QPDFObjectHandle
2423 2423 QPDFObjectHandle::newReal(double value, int decimal_places)
2424 2424 {
2425   - return QPDFObjectHandle(new QPDF_Real(value, decimal_places));
  2425 + return QPDFObjectHandle(
  2426 + new QPDF_Real(value, decimal_places, true));
  2427 +}
  2428 +
  2429 +QPDFObjectHandle
  2430 +QPDFObjectHandle::newReal(double value, int decimal_places,
  2431 + bool trim_trailing_zeroes)
  2432 +{
  2433 + return QPDFObjectHandle(
  2434 + new QPDF_Real(value, decimal_places, trim_trailing_zeroes));
2426 2435 }
2427 2436  
2428 2437 QPDFObjectHandle
... ...
libqpdf/QPDF_Real.cc
  View file @07f40bd
... ... @@ -7,8 +7,9 @@ QPDF_Real::QPDF_Real(std::string const&amp; val) :
7 7 {
8 8 }
9 9  
10   -QPDF_Real::QPDF_Real(double value, int decimal_places) :
11   - val(QUtil::double_to_string(value, decimal_places))
  10 +QPDF_Real::QPDF_Real(double value, int decimal_places,
  11 + bool trim_trailing_zeroes) :
  12 + val(QUtil::double_to_string(value, decimal_places, trim_trailing_zeroes))
12 13 {
13 14 }
14 15  
... ...
libqpdf/QUtil.cc
  View file @07f40bd
... ... @@ -324,10 +324,17 @@ QUtil::uint_to_string_base(unsigned long long num, int base, int length)
324 324 std::string
325 325 QUtil::double_to_string(double num, int decimal_places)
326 326 {
  327 + return double_to_string(num, decimal_places, true);
  328 +}
  329 +
  330 +std::string
  331 +QUtil::double_to_string(double num, int decimal_places,
  332 + bool trim_trailing_zeroes)
  333 +{
327 334 // Backward compatibility -- this code used to use sprintf and
328 335 // treated decimal_places <= 0 to mean to use the default, which
329   - // was six decimal places. Also sprintf with %*.f interprets the
330   - // length as fixed point rather than significant figures.
  336 + // was six decimal places. Starting in 10.2, we trim trailing
  337 + // zeroes by default.
331 338 if (decimal_places <= 0)
332 339 {
333 340 decimal_places = 6;
... ... @@ -335,7 +342,19 @@ QUtil::double_to_string(double num, int decimal_places)
335 342 std::ostringstream buf;
336 343 buf.imbue(std::locale::classic());
337 344 buf << std::setprecision(decimal_places) << std::fixed << num;
338   - return buf.str();
  345 + std::string result = buf.str();
  346 + if (trim_trailing_zeroes)
  347 + {
  348 + while ((result.length() > 1) && (result.back() == '0'))
  349 + {
  350 + result.pop_back();
  351 + }
  352 + if ((result.length() > 1) && (result.back() == '.'))
  353 + {
  354 + result.pop_back();
  355 + }
  356 + }
  357 + return result;
339 358 }
340 359  
341 360 long long
... ...
libqpdf/qpdf/QPDF_Real.hh
  View file @07f40bd
... ... @@ -7,7 +7,7 @@ class QPDF_Real: public QPDFObject
7 7 {
8 8 public:
9 9 QPDF_Real(std::string const& val);
10   - QPDF_Real(double value, int decimal_places = 0);
  10 + QPDF_Real(double value, int decimal_places, bool trim_trailing_zeroes);
11 11 virtual ~QPDF_Real();
12 12 virtual std::string unparse();
13 13 virtual JSON getJSON();
... ...
libtests/json.cc
  View file @07f40bd
... ... @@ -36,7 +36,7 @@ static void test_main()
36 36 " \"a\\tb\",\n"
37 37 " null,\n"
38 38 " 16059,\n"
39   - " 3.141590,\n"
  39 + " 3.14159,\n"
40 40 " 2.1e5\n"
41 41 "]");
42 42 JSON jmap = JSON::makeDictionary();
... ... @@ -56,7 +56,7 @@ static void test_main()
56 56 " \"a\\tb\",\n"
57 57 " null,\n"
58 58 " 16059,\n"
59   - " 3.141590,\n"
  59 + " 3.14159,\n"
60 60 " 2.1e5\n"
61 61 " ],\n"
62 62 " \"b\": \"a\\tb\",\n"
... ...
libtests/matrix.cc
  View file @07f40bd
... ... @@ -44,39 +44,39 @@ static void check_rect(QPDFObjectHandle::Rectangle const&amp; r,
44 44 int main()
45 45 {
46 46 QPDFMatrix m;
47   - check(m, "1.00000 0.00000 0.00000 1.00000 0.00000 0.00000");
  47 + check(m, "1 0 0 1 0 0");
48 48 m.translate(10, 20);
49   - check(m, "1.00000 0.00000 0.00000 1.00000 10.00000 20.00000");
  49 + check(m, "1 0 0 1 10 20");
50 50 m.scale(1.5, 2);
51   - check(m, "1.50000 0.00000 0.00000 2.00000 10.00000 20.00000");
  51 + check(m, "1.5 0 0 2 10 20");
52 52 double xp = 0;
53 53 double yp = 0;
54 54 m.transform(10, 100, xp, yp);
55   - check_xy(xp, yp, "25.00 220.00");
  55 + check_xy(xp, yp, "25 220");
56 56 m.translate(30, 40);
57   - check(m, "1.50000 0.00000 0.00000 2.00000 55.00000 100.00000");
  57 + check(m, "1.5 0 0 2 55 100");
58 58 m.transform(10, 100, xp, yp);
59   - check_xy(xp, yp, "70.00 300.00");
  59 + check_xy(xp, yp, "70 300");
60 60 m.concat(QPDFMatrix(1, 2, 3, 4, 5, 6));
61   - check(m, "1.50000 4.00000 4.50000 8.00000 62.50000 112.00000");
  61 + check(m, "1.5 4 4.5 8 62.5 112");
62 62 m.rotatex90(90);
63   - check(m, "4.50000 8.00000 -1.50000 -4.00000 62.50000 112.00000");
  63 + check(m, "4.5 8 -1.5 -4 62.5 112");
64 64 m.rotatex90(180);
65   - check(m, "-4.50000 -8.00000 1.50000 4.00000 62.50000 112.00000");
  65 + check(m, "-4.5 -8 1.5 4 62.5 112");
66 66 m.rotatex90(270);
67   - check(m, "-1.50000 -4.00000 -4.50000 -8.00000 62.50000 112.00000");
  67 + check(m, "-1.5 -4 -4.5 -8 62.5 112");
68 68 m.rotatex90(180);
69   - check(m, "1.50000 4.00000 4.50000 8.00000 62.50000 112.00000");
  69 + check(m, "1.5 4 4.5 8 62.5 112");
70 70 m.rotatex90(12345);
71   - check(m, "1.50000 4.00000 4.50000 8.00000 62.50000 112.00000");
  71 + check(m, "1.5 4 4.5 8 62.5 112");
72 72  
73 73 m.transform(240, 480, xp, yp);
74   - check_xy(xp, yp, "2582.50 4912.00");
  74 + check_xy(xp, yp, "2582.5 4912");
75 75  
76 76 check(QPDFMatrix(
77 77 QPDFObjectHandle::parse(
78 78 "[3 1 4 1 5 9.26535]").getArrayAsMatrix()),
79   - "3.00000 1.00000 4.00000 1.00000 5.00000 9.26535");
  79 + "3 1 4 1 5 9.26535");
80 80  
81 81 m = QPDFMatrix();
82 82 m.rotatex90(90);
... ...
libtests/qtest/qutil/qutil.out
  View file @07f40bd
... ... @@ -9,6 +9,12 @@
9 9 0.00012
10 10 0.12346
11 11 0.00012
  12 +1.0102
  13 +1
  14 +1
  15 +1.00000
  16 +10.00
  17 +10
12 18 16059
13 19 37273
14 20 3ebb
... ...
libtests/qutil.cc
  View file @07f40bd
... ... @@ -117,13 +117,19 @@ void string_conversion_test()
117 117 std::cout << QUtil::int_to_string(16059) << std::endl
118 118 << QUtil::int_to_string(16059, 7) << std::endl
119 119 << QUtil::int_to_string(16059, -7) << std::endl
120   - << QUtil::double_to_string(3.14159) << std::endl
  120 + << QUtil::double_to_string(3.14159, 0, false) << std::endl
121 121 << QUtil::double_to_string(3.14159, 3) << std::endl
122   - << QUtil::double_to_string(1000.123, -1024) << std::endl
123   - << QUtil::double_to_string(.1234, 5) << std::endl
  122 + << QUtil::double_to_string(1000.123, -1024, false) << std::endl
  123 + << QUtil::double_to_string(.1234, 5, false) << std::endl
124 124 << QUtil::double_to_string(.0001234, 5) << std::endl
125 125 << QUtil::double_to_string(.123456, 5) << std::endl
126 126 << QUtil::double_to_string(.000123456, 5) << std::endl
  127 + << QUtil::double_to_string(1.01020, 5, true) << std::endl
  128 + << QUtil::double_to_string(1.00000, 5, true) << std::endl
  129 + << QUtil::double_to_string(1, 5, true) << std::endl
  130 + << QUtil::double_to_string(1, 5, false) << std::endl
  131 + << QUtil::double_to_string(10, 2, false) << std::endl
  132 + << QUtil::double_to_string(10, 2, true) << std::endl
127 133 << QUtil::int_to_string_base(16059, 10) << std::endl
128 134 << QUtil::int_to_string_base(16059, 8) << std::endl
129 135 << QUtil::int_to_string_base(16059, 16) << std::endl
... ...
manual/qpdf-manual.xml
  View file @07f40bd
... ... @@ -5070,13 +5070,40 @@ print &quot;\n&quot;;
5070 5070 <itemizedlist>
5071 5071 <listitem>
5072 5072 <para>
  5073 + Note: the changes in this section cause differences in
  5074 + output in some cases. These differences change the syntax of
  5075 + the PDF but do not change the semantics (meaning). I make a
  5076 + strong effort to avoid gratuitous changes in qpdf's output
  5077 + so that qpdf changes don't break people's tests. In this
  5078 + case, the changes significantly improve the readability of
  5079 + the generated PDF and don't affect any output that's
  5080 + generated by simple transformation. If you are annoyed by
  5081 + having to update test files, please rest assured that
  5082 + changes like this have been and will continue to be rare
  5083 + events.
  5084 + </para>
  5085 + </listitem>
  5086 + <listitem>
  5087 + <para>
5073 5088 <function>QPDFObjectHandle::newUnicodeString</function> now
5074 5089 uses whichever of ASCII, PDFDocEncoding, of UTF-16 is
5075 5090 sufficient to encode all the characters in the string. This
5076 5091 reduces needless encoding in UTF-16 of strings that can be
5077 5092 encoded in ASCII. This change may cause qpdf to generate
5078 5093 different output than before when form field values are set
5079   - using <classname>QPDFFormFieldObjectHelper</classname>.
  5094 + using <classname>QPDFFormFieldObjectHelper</classname> but
  5095 + does not change the meaning of the output.
  5096 + </para>
  5097 + </listitem>
  5098 + <listitem>
  5099 + <para>
  5100 + The code that places form XObjects and also the code that
  5101 + flattens rotations trim trailing zeroes from real numbers
  5102 + that they calculate. This causes slight (but semantically
  5103 + equivalent) differences in generated appearance streams and
  5104 + form XObject invocations in overlay/underlay code or in user
  5105 + code that calls the methods that place form XObjects on a
  5106 + page.
5080 5107 </para>
5081 5108 </listitem>
5082 5109 </itemizedlist>
... ... @@ -5184,6 +5211,15 @@ print &quot;\n&quot;;
5184 5211 contents of a file through a pipeline as binary data.
5185 5212 </para>
5186 5213 </listitem>
  5214 + <listitem>
  5215 + <para>
  5216 + Add option to <function>QUtil::double_to_string</function>
  5217 + to trim trailing zeroes, which is on by default. Within the
  5218 + qpdf library, this causes changes to output the from code
  5219 + that places form XObjects and the code that flattens
  5220 + rotations.
  5221 + </para>
  5222 + </listitem>
5187 5223 </itemizedlist>
5188 5224 </listitem>
5189 5225 <listitem>
... ...
qpdf/qpdf-ctest.c
  View file @07f40bd
... ... @@ -634,7 +634,7 @@ static void test24(char const* infile,
634 634 qpdf_oh_new_name(qpdf, "/Quack"));
635 635 qpdf_oh_append_item(
636 636 qpdf, new_array,
637   - qpdf_oh_new_real_from_double(qpdf, 4.0, 2));
  637 + qpdf_oh_new_real_from_double(qpdf, 4.123, 2));
638 638 qpdf_oh_append_item(
639 639 qpdf, new_array,
640 640 qpdf_oh_new_real_from_string(qpdf, "5.0"));
... ...
qpdf/qtest/qpdf/appearances-1.pdf
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qpdf/qtest/qpdf/appearances-11.pdf
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qpdf/qtest/qpdf/appearances-12.pdf
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qpdf/qtest/qpdf/appearances-2.pdf
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qpdf/qtest/qpdf/appearances-a-more.pdf
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qpdf/qtest/qpdf/appearances-a-more2.pdf
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qpdf/qtest/qpdf/appearances-a.pdf
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qpdf/qtest/qpdf/appearances-b.pdf
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qpdf/qtest/qpdf/appearances-quack.pdf
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qpdf/qtest/qpdf/boxes-flattened.pdf
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... ... @@ -72,10 +72,10 @@ endobj
72 72 4 0 obj
73 73 <<
74 74 /BleedBox [
75   - 40.000000
76   - 60.000000
77   - 712.000000
78   - 592.000000
  75 + 40
  76 + 60
  77 + 712
  78 + 592
79 79 ]
80 80 /Contents [
81 81 17 0 R
... ... @@ -83,16 +83,16 @@ endobj
83 83 21 0 R
84 84 ]
85 85 /CropBox [
86   - 20.000000
87   - 30.000000
88   - 752.000000
89   - 602.000000
  86 + 20
  87 + 30
  88 + 752
  89 + 602
90 90 ]
91 91 /MediaBox [
92   - 0.000000
93   - 0.000000
94   - 792.000000
95   - 612.000000
  92 + 0
  93 + 0
  94 + 792
  95 + 612
96 96 ]
97 97 /Parent 2 0 R
98 98 /Resources <<
... ... @@ -105,10 +105,10 @@ endobj
105 105 >>
106 106 >>
107 107 /TrimBox [
108   - 60.000000
109   - 90.000000
110   - 672.000000
111   - 582.000000
  108 + 60
  109 + 90
  110 + 672
  111 + 582
112 112 ]
113 113 /Type /Page
114 114 >>
... ... @@ -118,10 +118,10 @@ endobj
118 118 5 0 obj
119 119 <<
120 120 /BleedBox [
121   - 60.000000
122   - 80.000000
123   - 592.000000
124   - 752.000000
  121 + 60
  122 + 80
  123 + 592
  124 + 752
125 125 ]
126 126 /Contents [
127 127 23 0 R
... ... @@ -129,16 +129,16 @@ endobj
129 129 27 0 R
130 130 ]
131 131 /CropBox [
132   - 30.000000
133   - 40.000000
134   - 602.000000
135   - 772.000000
  132 + 30
  133 + 40
  134 + 602
  135 + 772
136 136 ]
137 137 /MediaBox [
138   - 0.000000
139   - 0.000000
140   - 612.000000
141   - 792.000000
  138 + 0
  139 + 0
  140 + 612
  141 + 792
142 142 ]
143 143 /Parent 2 0 R
144 144 /Resources <<
... ... @@ -151,10 +151,10 @@ endobj
151 151 >>
152 152 >>
153 153 /TrimBox [
154   - 90.000000
155   - 120.000000
156   - 582.000000
157   - 732.000000
  154 + 90
  155 + 120
  156 + 582
  157 + 732
158 158 ]
159 159 /Type /Page
160 160 >>
... ... @@ -164,10 +164,10 @@ endobj
164 164 6 0 obj
165 165 <<
166 166 /BleedBox [
167   - 80.000000
168   - 20.000000
169   - 752.000000
170   - 552.000000
  167 + 80
  168 + 20
  169 + 752
  170 + 552
171 171 ]
172 172 /Contents [
173 173 29 0 R
... ... @@ -175,16 +175,16 @@ endobj
175 175 33 0 R
176 176 ]
177 177 /CropBox [
178   - 40.000000
179   - 10.000000
180   - 772.000000
181   - 582.000000
  178 + 40
  179 + 10
  180 + 772
  181 + 582
182 182 ]
183 183 /MediaBox [
184   - 0.000000
185   - 0.000000
186   - 792.000000
187   - 612.000000
  184 + 0
  185 + 0
  186 + 792
  187 + 612
188 188 ]
189 189 /Parent 2 0 R
190 190 /Resources <<
... ... @@ -197,10 +197,10 @@ endobj
197 197 >>
198 198 >>
199 199 /TrimBox [
200   - 120.000000
201   - 30.000000
202   - 732.000000
203   - 522.000000
  200 + 120
  201 + 30
  202 + 732
  203 + 522
204 204 ]
205 205 /Type /Page
206 206 >>
... ... @@ -252,10 +252,10 @@ endobj
252 252 8 0 obj
253 253 <<
254 254 /BleedBox [
255   - 40.000000
256   - 80.000000
257   - 712.000000
258   - 612.000000
  255 + 40
  256 + 80
  257 + 712
  258 + 612
259 259 ]
260 260 /Contents [
261 261 37 0 R
... ... @@ -263,16 +263,16 @@ endobj
263 263 41 0 R
264 264 ]
265 265 /CropBox [
266   - 20.000000
267   - 50.000000
268   - 752.000000
269   - 622.000000
  266 + 20
  267 + 50
  268 + 752
  269 + 622
270 270 ]
271 271 /MediaBox [
272   - -20.000000
273   - -10.000000
274   - 832.000000
275   - 642.000000
  272 + -20
  273 + -10
  274 + 832
  275 + 642
276 276 ]
277 277 /Parent 2 0 R
278 278 /Resources <<
... ... @@ -285,10 +285,10 @@ endobj
285 285 >>
286 286 >>
287 287 /TrimBox [
288   - 60.000000
289   - 110.000000
290   - 672.000000
291   - 602.000000
  288 + 60
  289 + 110
  290 + 672
  291 + 602
292 292 ]
293 293 /Type /Page
294 294 >>
... ... @@ -298,10 +298,10 @@ endobj
298 298 9 0 obj
299 299 <<
300 300 /BleedBox [
301   - 80.000000
302   - 100.000000
303   - 612.000000
304   - 772.000000
  301 + 80
  302 + 100
  303 + 612
  304 + 772
305 305 ]
306 306 /Contents [
307 307 43 0 R
... ... @@ -309,16 +309,16 @@ endobj
309 309 47 0 R
310 310 ]
311 311 /CropBox [
312   - 50.000000
313   - 60.000000
314   - 622.000000
315   - 792.000000
  312 + 50
  313 + 60
  314 + 622
  315 + 792
316 316 ]
317 317 /MediaBox [
318   - -10.000000
319   - -20.000000
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qpdf/qtest/qpdf/uo-6.pdf
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qpdf/qtest/qpdf/uo-7.pdf
  View file @07f40bd
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... ...
qpdf/test_driver.cc
  View file @07f40bd
... ... @@ -560,7 +560,7 @@ void runtest(int n, char const* filename1, char const* arg2)
560 560 for (int i = 0; i < nitems; ++i)
561 561 {
562 562 std::cout << QUtil::double_to_string(
563   - qnumbers.getArrayItem(i).getNumericValue(), 3)
  563 + qnumbers.getArrayItem(i).getNumericValue(), 3, false)
564 564 << std::endl;
565 565 }
566 566 }
... ...