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Advanced functions

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Jakub Melka
2019-03-07 19:57:03 +01:00
parent 2023e17c4c
commit 234b7c77f7
6 changed files with 901 additions and 32 deletions
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556
UnitTests/tst_lexicalanalyzertest.cpp
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@ -24,6 +24,7 @@
#include "pdfflatmap.h"
#include "pdfstreamfilters.h"
#include "pdffunction.h"
#include "pdfdocument.h"
#include <regex>
@ -48,6 +49,7 @@ private slots:
void test_flat_map();
void test_lzw_filter();
void test_sampled_function();
void test_exponential_function();
private:
void scanWholeStream(const char* stream);
@ -312,33 +314,535 @@ void LexicalAnalyzerTest::test_lzw_filter()
void LexicalAnalyzerTest::test_sampled_function()
{
// Calculate hypercube offsets. Offsets are indexed in bits, from the lowest
// bit to the highest. We assume, that we do not have more, than 32 input
// variables (we probably run out of memory in that time). Example:
//
// We have m = 3, f(x_0, x_1, x_2) is sampled function of 3 variables, n = 1.
// We have 2, 4, 6 samples for x_0, x_1 and x_2 (so sample count differs).
// Then the i-th bit corresponds to variable x_i. We will have m_hypercubeNodeCount == 8,
// hypercube offset indices are from 0 to 7.
{
// Positions in stream: f(0, 0) = 0 = 0 = 0.00
// f(1, 0) = \377 = 255 = 1.00
// f(0, 1) = \200 = 128 = 0.50
// f(1, 1) = \300 = 192 = 0.75
/* explicit PDFSampledFunction(uint32_t m,
uint32_t n,
std::vector<PDFReal>&& domain,
std::vector<PDFReal>&& range,
std::vector<uint32_t>&& size,
std::vector<PDFReal>&& samples,
std::vector<PDFReal>&& encoder,
std::vector<PDFReal>&& decoder);*/
std::vector<pdf::PDFReal> samples;
samples.resize(2 * 4 * 6, 0);
pdf::PDFSampledFunction function(3, 1,
{ 0.0, 1.0, 0.0, 1.0, 0.0, 1.0 },
{ 0.0, 1.0, 0.0, 1.0, 0.0, 1.0 },
{ 2, 4, 6 },
std::move(samples),
{ 0.0, 1.0, 0.0, 1.0, 0.0, 1.0 },
{ 0.0, 1.0, 0.0, 1.0, 0.0, 1.0 },
1.0);
const char data[] = " << "
" /FunctionType 0 "
" /Domain [ 0 1 0 1 ] "
" /Range [ 0 1 ] "
" /Size [ 2 2 ] "
" /BitsPerSample 8 "
" /Order 1 "
" /Length 4 "
" >> "
" stream\n\000\377\200\300 endstream ";
pdf::PDFDocument document;
pdf::PDFParser parser(data, data + std::size(data), nullptr, pdf::PDFParser::AllowStreams);
pdf::PDFFunctionPtr function = pdf::PDFFunction::createFunction(&document, parser.getObject());
QVERIFY(function);
auto apply = [&function](pdf::PDFReal x, pdf::PDFReal y) -> pdf::PDFReal
{
pdf::PDFReal values[2] = {x, y};
pdf::PDFReal output = -1.0;
function->apply(values, values + std::size(values), &output, &output + 1);
return output;
};
auto bilinear = [](pdf::PDFReal x, pdf::PDFReal y)
{
// See https://en.wikipedia.org/wiki/Bilinear_interpolation - formulas are taken from here.
// We are interpolating on unit square.
const pdf::PDFReal f00 = 0.00;
const pdf::PDFReal f10 = 1.00;
const pdf::PDFReal f01 = 0.50;
const pdf::PDFReal f11 = 0.75;
const pdf::PDFReal a00 = f00;
const pdf::PDFReal a10 = f10 - f00;
const pdf::PDFReal a01 = f01 - f00;
const pdf::PDFReal a11 = f11 + f00 - f10 - f01;
return a00 + a10 * x + a01 * y + a11 * x * y;
};
auto compare = [](pdf::PDFReal x, pdf::PDFReal y)
{
// We are using 8 bits, so we need 2-digit accuracy
return std::abs(x - y) < 0.01;
};
QVERIFY(compare(apply(0.0, 0.0), 0.00));
QVERIFY(compare(apply(1.0, 0.0), 1.00));
QVERIFY(compare(apply(0.0, 1.0), 0.50));
QVERIFY(compare(apply(1.0, 1.0), 0.75));
for (pdf::PDFReal x = 0.0; x <= 1.0; x += 0.01)
{
for (pdf::PDFReal y = 0.0; y <= 1.0; y += 0.01)
{
const pdf::PDFReal actual = apply(x, y);
const pdf::PDFReal expected = bilinear(x, y);
QVERIFY(compare(actual, expected));
}
}
}
{
const char data[] = " << "
" /FunctionType 0 "
" /Domain [ 0 1 ] "
" /Range [ 0 1 ] "
" /Size [ 2 ] "
" /BitsPerSample 8 "
" /Order 1 "
" /Length 2 "
" >> "
" stream\n\377\000 endstream ";
pdf::PDFDocument document;
pdf::PDFParser parser(data, data + std::size(data), nullptr, pdf::PDFParser::AllowStreams);
pdf::PDFFunctionPtr function = pdf::PDFFunction::createFunction(&document, parser.getObject());
auto apply = [&function](pdf::PDFReal x) -> pdf::PDFReal
{
pdf::PDFReal output = -1.0;
function->apply(&x, &x + 1, &output, &output + 1);
return output;
};
auto compare = [&apply](pdf::PDFReal x)
{
const pdf::PDFReal actual = apply(x);
const pdf::PDFReal expected = 1.0 - x;
return qFuzzyCompare(actual, expected);
};
for (pdf::PDFReal x = 0.0; x <= 1.0; x += 0.01)
{
QVERIFY(compare(x));
}
QVERIFY(qFuzzyCompare(apply(-1.0), 1.0));
QVERIFY(qFuzzyCompare(apply(2.0), 0.0));
}
// Test invalid inputs
QVERIFY_EXCEPTION_THROWN(
{
const char data[] = " << "
" /FunctionType 0 "
" /Domain [ 0 1 0 1 ] "
" /Range [ 0 1 ] "
" /Size [ 2 2 ] "
" /BitsPerSample 8 "
" /Order 1 "
" /Length 2 "
" >> "
" stream\n\000\377 endstream ";
pdf::PDFDocument document;
pdf::PDFParser parser(data, data + std::size(data), nullptr, pdf::PDFParser::AllowStreams);
pdf::PDFFunctionPtr function = pdf::PDFFunction::createFunction(&document, parser.getObject());
QVERIFY(!function);
}, pdf::PDFParserException);
// Test invalid inputs
QVERIFY_EXCEPTION_THROWN(
{
const char data[] = " << "
" /FunctionType 0 "
" /Domain [ 0 1 0 1 ] "
" /Range [ 0 1 ] "
" /Size [ 2 2 ] "
" /BitsPerSample -5 "
" /Order 1 "
" /Length 4 "
" >> "
" stream\n\000\377\200\300 endstream ";
pdf::PDFDocument document;
pdf::PDFParser parser(data, data + std::size(data), nullptr, pdf::PDFParser::AllowStreams);
pdf::PDFFunctionPtr function = pdf::PDFFunction::createFunction(&document, parser.getObject());
QVERIFY(!function);
}, pdf::PDFParserException);
// Test invalid inputs
QVERIFY_EXCEPTION_THROWN(
{
const char data[] = " << "
" /FunctionType 0 "
" /Domain [ 0 1 0 ] "
" /Range [ 0 1 ] "
" /Size [ 2 2 ] "
" /BitsPerSample 8 "
" /Order 1 "
" /Length 4 "
" >> "
" stream\n\000\377\200\300 endstream ";
pdf::PDFDocument document;
pdf::PDFParser parser(data, data + std::size(data), nullptr, pdf::PDFParser::AllowStreams);
pdf::PDFFunctionPtr function = pdf::PDFFunction::createFunction(&document, parser.getObject());
QVERIFY(!function);
}, pdf::PDFParserException);
// Test invalid inputs
QVERIFY_EXCEPTION_THROWN(
{
const char data[] = " << "
" /FunctionType 0 "
" /Domain [ 0 1 0 1 ] "
" /Range [ 0 ] "
" /Size [ 2 2 ] "
" /BitsPerSample 8 "
" /Order 1 "
" /Length 4 "
" >> "
" stream\n\000\377\200\300 endstream ";
pdf::PDFDocument document;
pdf::PDFParser parser(data, data + std::size(data), nullptr, pdf::PDFParser::AllowStreams);
pdf::PDFFunctionPtr function = pdf::PDFFunction::createFunction(&document, parser.getObject());
QVERIFY(!function);
}, pdf::PDFParserException);
// Test invalid inputs
QVERIFY_EXCEPTION_THROWN(
{
const char data[] = " << "
" /FunctionType 0 "
" /Domain [ 0 1 0 1 ] "
" /Range [ 0 1 ] "
" /Size [ 2 ] "
" /BitsPerSample 8 "
" /Order 1 "
" /Length 4 "
" >> "
" stream\n\000\377\200\300 endstream ";
pdf::PDFDocument document;
pdf::PDFParser parser(data, data + std::size(data), nullptr, pdf::PDFParser::AllowStreams);
pdf::PDFFunctionPtr function = pdf::PDFFunction::createFunction(&document, parser.getObject());
QVERIFY(!function);
}, pdf::PDFParserException);
// Test invalid inputs
QVERIFY_EXCEPTION_THROWN(
{
const char data[] = " << "
" /FunctionType 0 "
" /Domain [ 0 1 0 1 ] "
" /Range [ 0 1 ] "
" /Size [ 2 2 ] "
" /Encode [ 1 ] "
" /BitsPerSample 8 "
" /Order 1 "
" /Length 4 "
" >> "
" stream\n\000\377\200\300 endstream ";
pdf::PDFDocument document;
pdf::PDFParser parser(data, data + std::size(data), nullptr, pdf::PDFParser::AllowStreams);
pdf::PDFFunctionPtr function = pdf::PDFFunction::createFunction(&document, parser.getObject());
QVERIFY(!function);
}, pdf::PDFParserException);
// Test invalid inputs
QVERIFY_EXCEPTION_THROWN(
{
const char data[] = " << "
" /FunctionType 0 "
" /Domain [ 0 1 0 1 ] "
" /Range [ 0 1 ] "
" /Decode [ 1 ] "
" /Size [ 2 2 ] "
" /BitsPerSample 8 "
" /Order 1 "
" /Length 4 "
" >> "
" stream\n\000\377\200\300 endstream ";
pdf::PDFDocument document;
pdf::PDFParser parser(data, data + std::size(data), nullptr, pdf::PDFParser::AllowStreams);
pdf::PDFFunctionPtr function = pdf::PDFFunction::createFunction(&document, parser.getObject());
QVERIFY(!function);
}, pdf::PDFParserException);
// Test invalid inputs
QVERIFY_EXCEPTION_THROWN(
{
const char data[] = " << "
" /FunctionType 0 "
" /Domain [ 0 1 0 1 ] "
" /Size [ 2 2 ] "
" /BitsPerSample 8 "
" /Order 1 "
" /Length 4 "
" >> "
" stream\n\000\377\200\300 endstream ";
pdf::PDFDocument document;
pdf::PDFParser parser(data, data + std::size(data), nullptr, pdf::PDFParser::AllowStreams);
pdf::PDFFunctionPtr function = pdf::PDFFunction::createFunction(&document, parser.getObject());
QVERIFY(!function);
}, pdf::PDFParserException);
// Test invalid inputs
QVERIFY_EXCEPTION_THROWN(
{
const char data[] = " << "
" /FunctionType 0 "
" /Range [ 0 1 ] "
" /Size [ 2 2 ] "
" /BitsPerSample 8 "
" /Order 1 "
" /Length 4 "
" >> "
" stream\n\000\377\200\300 endstream ";
pdf::PDFDocument document;
pdf::PDFParser parser(data, data + std::size(data), nullptr, pdf::PDFParser::AllowStreams);
pdf::PDFFunctionPtr function = pdf::PDFFunction::createFunction(&document, parser.getObject());
QVERIFY(!function);
}, pdf::PDFParserException);
}
void LexicalAnalyzerTest::test_exponential_function()
{
{
QByteArray data = " << "
" /FunctionType 2 "
" /Domain [ 0 2 ] "
" /Range [ 0 2 ] "
" /N 1.0 "
" >> ";
pdf::PDFDocument document;
pdf::PDFParser parser(data, nullptr, pdf::PDFParser::None);
pdf::PDFFunctionPtr function = pdf::PDFFunction::createFunction(&document, parser.getObject());
QVERIFY(function);
for (double value = -1.0; value <= 3.0; value += 0.01)
{
const double expected = qBound(0.0, value, 2.0);
double actual = 0.0;
QVERIFY(function->apply(&value, &value + 1, &actual, &actual + 1));
QVERIFY(qFuzzyCompare(expected, actual));
}
}
{
QByteArray data = " << "
" /FunctionType 2 "
" /Domain [ 0 2 ] "
" /Range [ 0 4 ] "
" /N 2.0 "
" >> ";
pdf::PDFDocument document;
pdf::PDFParser parser(data, nullptr, pdf::PDFParser::None);
pdf::PDFFunctionPtr function = pdf::PDFFunction::createFunction(&document, parser.getObject());
QVERIFY(function);
for (double value = -1.0; value <= 3.0; value += 0.01)
{
const double expected = std::pow(qBound(0.0, value, 2.0), 2.0);
double actual = 0.0;
QVERIFY(function->apply(&value, &value + 1, &actual, &actual + 1));
QVERIFY(qFuzzyCompare(expected, actual));
}
}
{
QByteArray data = " << "
" /FunctionType 2 "
" /Domain [ 0 2 ] "
" /Range [ -4 4 ] "
" /C0 [ 1.0 ] "
" /C1 [ 0.0 ] "
" /N 2.0 "
" >> ";
pdf::PDFDocument document;
pdf::PDFParser parser(data, nullptr, pdf::PDFParser::None);
pdf::PDFFunctionPtr function = pdf::PDFFunction::createFunction(&document, parser.getObject());
QVERIFY(function);
for (double value = -1.0; value <= 3.0; value += 0.01)
{
const double expected = qBound(-4.0, 1.0 - std::pow(qBound(0.0, value, 2.0), 2.0), 4.0);
double actual = 0.0;
QVERIFY(function->apply(&value, &value + 1, &actual, &actual + 1));
QVERIFY(qFuzzyCompare(expected, actual));
}
}
{
QByteArray data = " << "
" /FunctionType 2 "
" /Domain [ 0 2 ] "
" /Range [ 0 4 -4 4 ] "
" /C0 [ 0.0 1.0 ] "
" /C1 [ 1.0 0.0 ] "
" /N 2.0 "
" >> ";
pdf::PDFDocument document;
pdf::PDFParser parser(data, nullptr, pdf::PDFParser::None);
pdf::PDFFunctionPtr function = pdf::PDFFunction::createFunction(&document, parser.getObject());
QVERIFY(function);
for (double value = -1.0; value <= 3.0; value += 0.01)
{
const double expected1 = std::pow(qBound(0.0, value, 2.0), 2.0);
const double expected2 = qBound(-4.0, 1.0 - std::pow(qBound(0.0, value, 2.0), 2.0), 4.0);
double actual[2] = { };
QVERIFY(function->apply(&value, &value + 1, actual, actual + std::size(actual)));
QVERIFY(qFuzzyCompare(expected1, actual[0]));
QVERIFY(qFuzzyCompare(expected2, actual[1]));
}
}
// Test invalid inputs
QVERIFY_EXCEPTION_THROWN(
{
QByteArray data = " << "
" /FunctionType 2 "
" /Domain [ 0 ] "
" /Range [ 0 2 ] "
" /N 1.0 "
" >> ";
pdf::PDFDocument document;
pdf::PDFParser parser(data, nullptr, pdf::PDFParser::None);
pdf::PDFFunctionPtr function = pdf::PDFFunction::createFunction(&document, parser.getObject());
QVERIFY(!function);
}, pdf::PDFParserException);
QVERIFY_EXCEPTION_THROWN(
{
QByteArray data = " << "
" /FunctionType 2 "
" /Domain [ -1 2 ] "
" /N -1.0 "
" >> ";
pdf::PDFDocument document;
pdf::PDFParser parser(data, nullptr, pdf::PDFParser::None);
pdf::PDFFunctionPtr function = pdf::PDFFunction::createFunction(&document, parser.getObject());
QVERIFY(!function);
}, pdf::PDFParserException);
QVERIFY_EXCEPTION_THROWN(
{
QByteArray data = " << "
" /FunctionType 2 "
" /Domain [ 0 2 ] "
" /N -1.0 "
" >> ";
pdf::PDFDocument document;
pdf::PDFParser parser(data, nullptr, pdf::PDFParser::None);
pdf::PDFFunctionPtr function = pdf::PDFFunction::createFunction(&document, parser.getObject());
QVERIFY(!function);
}, pdf::PDFParserException);
QVERIFY_EXCEPTION_THROWN(
{
QByteArray data = " << "
" /FunctionType 2 "
" /Domain [ -1 2 ] "
" /N 3.4 "
" >> ";
pdf::PDFDocument document;
pdf::PDFParser parser(data, nullptr, pdf::PDFParser::None);
pdf::PDFFunctionPtr function = pdf::PDFFunction::createFunction(&document, parser.getObject());
QVERIFY(!function);
}, pdf::PDFParserException);
QVERIFY_EXCEPTION_THROWN(
{
QByteArray data = " << "
" /FunctionType 2 "
" /Domain [ 0 2 2 0] "
" /Range [ 0 4 -4 4 ] "
" /C0 [ 0.0 1.0 ] "
" /C1 [ 1.0 0.0 ] "
" /N 2.0 "
" >> ";
pdf::PDFDocument document;
pdf::PDFParser parser(data, nullptr, pdf::PDFParser::None);
pdf::PDFFunctionPtr function = pdf::PDFFunction::createFunction(&document, parser.getObject());
QVERIFY(!function);
}, pdf::PDFParserException);
QVERIFY_EXCEPTION_THROWN(
{
QByteArray data = " << "
" /FunctionType 2 "
" /Domain [ 0 2 ] "
" /C0 [ 0.0 1.0 3.0 ] "
" /C1 [ 1.0 0.0 ] "
" /N 2.0 "
" >> ";
pdf::PDFDocument document;
pdf::PDFParser parser(data, nullptr, pdf::PDFParser::None);
pdf::PDFFunctionPtr function = pdf::PDFFunction::createFunction(&document, parser.getObject());
QVERIFY(!function);
}, pdf::PDFParserException);
QVERIFY_EXCEPTION_THROWN(
{
QByteArray data = " << "
" /FunctionType 2 "
" /Domain [ 0 2 ] "
" /C0 [ 0.0 ] "
" /C1 [ 1.0 0.0 ] "
" /N 2.0 "
" >> ";
pdf::PDFDocument document;
pdf::PDFParser parser(data, nullptr, pdf::PDFParser::None);
pdf::PDFFunctionPtr function = pdf::PDFFunction::createFunction(&document, parser.getObject());
QVERIFY(!function);
}, pdf::PDFParserException);
QVERIFY_EXCEPTION_THROWN(
{
QByteArray data = " << "
" /FunctionType 2 "
" /Domain /Something "
" /C0 [ 0.0 ] "
" /C1 [ 1.0 0.0 ] "
" /N 2.0 "
" >> ";
pdf::PDFDocument document;
pdf::PDFParser parser(data, nullptr, pdf::PDFParser::None);
pdf::PDFFunctionPtr function = pdf::PDFFunction::createFunction(&document, parser.getObject());
QVERIFY(!function);
}, pdf::PDFParserException);
}
void LexicalAnalyzerTest::scanWholeStream(const char* stream)