osb/source/game/StarStoredFunctions.cpp

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#include "StarStoredFunctions.hpp"
#include "StarAssets.hpp"
#include "StarRoot.hpp"
namespace Star {
double const StoredFunction::DefaultSearchTolerance = 0.001;
StoredFunction::StoredFunction(ParametricFunction<double, double> data) {
if (data.empty())
throw StoredFunctionException("StoredFunction constructor called on function with no data points");
m_function = move(data);
// Determine whether the function is monotonically increasing, monotonically
// decreasing, totally flat (technically both monotonically increasing and
// decreasing) or neither.
m_monotonicity = Monotonicity::Flat;
for (size_t i = 0; i < m_function.size() - 1; ++i) {
if (m_function.value(i) < m_function.value(i + 1)) {
if (m_monotonicity == Monotonicity::Flat)
m_monotonicity = Monotonicity::Increasing;
else if (m_monotonicity == Monotonicity::Decreasing)
m_monotonicity = Monotonicity::None;
} else if (m_function.value(i + 1) < m_function.value(i)) {
if (m_monotonicity == Monotonicity::Flat)
m_monotonicity = Monotonicity::Decreasing;
else if (m_monotonicity == Monotonicity::Increasing)
m_monotonicity = Monotonicity::None;
}
if (m_monotonicity == Monotonicity::None)
break;
}
}
Monotonicity StoredFunction::monotonicity() const {
return m_monotonicity;
}
double StoredFunction::evaluate(double value) const {
return m_function.interpolate(value);
}
StoredFunction::SearchResult StoredFunction::search(double targetValue, double valueTolerance) const {
double minIndex = m_function.index(0);
double minValue = m_function.value(0);
double maxIndex = m_function.index(m_function.size() - 1);
double maxValue = m_function.value(m_function.size() - 1);
if (maxValue < minValue) {
std::swap(minIndex, maxIndex);
std::swap(minValue, maxValue);
}
double index;
double value;
if (targetValue < minValue) {
index = minIndex;
value = minValue;
} else if (targetValue > maxValue) {
index = maxIndex;
value = maxValue;
} else {
index = (minIndex + maxIndex) / 2;
value = m_function.interpolate(index);
int searchDepth = 0;
while ((std::fabs(targetValue - value) > valueTolerance) && (searchDepth < 64)) {
searchDepth++;
if (value < targetValue) {
minIndex = index;
minValue = value;
} else if (value > targetValue) {
maxIndex = index;
maxValue = value;
}
double newIndex = (minIndex + maxIndex) / 2;
double newValue = m_function.interpolate(newIndex);
// If at any point we move outside of the established upper and lower
// bound
// the function is not monotonic increasing or decreasing, and binary
// search
// can not be used so we have to bail out.
if (newValue > maxValue || newValue < minValue)
throw StarException("StoredFunction is not monotonic.");
index = newIndex;
value = newValue;
}
}
SearchResult result;
result.targetValue = targetValue;
result.searchTolerance = valueTolerance;
result.found = std::fabs(targetValue - value) <= valueTolerance;
result.solution = index;
result.value = value;
return result;
}
StoredFunction2::StoredFunction2(MultiTable2D table) : table(move(table)) {}
double StoredFunction2::evaluate(double x, double y) const {
return table.interpolate({x, y});
}
StoredConfigFunction::StoredConfigFunction(ParametricTable<int, Json> data) {
m_data = move(data);
}
Json StoredConfigFunction::get(double value) const {
return m_data.get(value);
}
FunctionDatabase::FunctionDatabase() {
auto assets = Root::singleton().assets();
auto functions = assets->scanExtension("functions");
auto sndFunctions = assets->scanExtension("2functions");
auto configFunctions = assets->scanExtension("configfunctions");
assets->queueJsons(functions);
assets->queueJsons(sndFunctions);
assets->queueJsons(configFunctions);
for (auto file : functions) {
for (auto const& functionPair : assets->json(file).iterateObject()) {
if (m_functions.contains(functionPair.first))
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throw StarException(strf("Named Function '{}' defined twice, second time from {}", functionPair.first, file));
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m_functions[functionPair.first] = make_shared<StoredFunction>(parametricFunctionFromConfig(functionPair.second));
}
}
for (auto file : sndFunctions) {
for (auto const& functionPair : assets->json(file).iterateObject()) {
if (m_functions2.contains(functionPair.first))
throw StarException(
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strf("Named 2-ary Function '{}' defined twice, second time from {}", functionPair.first, file));
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m_functions2[functionPair.first] = make_shared<StoredFunction2>(multiTable2DFromConfig(functionPair.second));
}
}
for (auto file : configFunctions) {
for (auto const& tablePair : assets->json(file).iterateObject()) {
if (m_configFunctions.contains(tablePair.first))
throw StarException(
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strf("Named config function '{}' defined twice, second time from {}", tablePair.first, file));
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m_configFunctions[tablePair.first] =
make_shared<StoredConfigFunction>(parametricTableFromConfig(tablePair.second));
}
}
}
StringList FunctionDatabase::namedFunctions() const {
return m_functions.keys();
}
StringList FunctionDatabase::namedFunctions2() const {
return m_functions2.keys();
}
StringList FunctionDatabase::namedConfigFunctions() const {
return m_configFunctions.keys();
}
StoredFunctionPtr FunctionDatabase::function(Json const& configOrName) const {
if (configOrName.type() == Json::Type::String)
return m_functions.get(configOrName.toString());
else
return make_shared<StoredFunction>(parametricFunctionFromConfig(configOrName));
}
StoredFunction2Ptr FunctionDatabase::function2(Json const& configOrName) const {
if (configOrName.type() == Json::Type::String)
return m_functions2.get(configOrName.toString());
else
return make_shared<StoredFunction2>(multiTable2DFromConfig(configOrName));
}
StoredConfigFunctionPtr FunctionDatabase::configFunction(Json const& configOrName) const {
if (configOrName.type() == Json::Type::String)
return m_configFunctions.get(configOrName.toString());
else
return make_shared<StoredConfigFunction>(parametricTableFromConfig(configOrName));
}
ParametricFunction<double, double> FunctionDatabase::parametricFunctionFromConfig(Json descriptor) {
try {
String interpolationModeString = descriptor.getString(0);
String boundModeString = descriptor.getString(1);
List<pair<double, double>> points;
for (size_t i = 2; i < descriptor.size(); ++i) {
auto pointPair = descriptor.get(i);
if (pointPair.size() != 2)
throw StoredFunctionException("Each point must be a list of size 2");
points.append({pointPair.getDouble(0), pointPair.getDouble(1)});
}
InterpolationMode interpolationMode;
if (interpolationModeString.equalsIgnoreCase("HalfStep")) {
interpolationMode = InterpolationMode::HalfStep;
} else if (interpolationModeString.equalsIgnoreCase("Linear")) {
interpolationMode = InterpolationMode::Linear;
} else if (interpolationModeString.equalsIgnoreCase("Cubic")) {
interpolationMode = InterpolationMode::Cubic;
} else {
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throw StoredFunctionException(strf("Unrecognized InterpolationMode '{}'", interpolationModeString));
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}
BoundMode boundMode;
if (boundModeString.equalsIgnoreCase("Clamp")) {
boundMode = BoundMode::Clamp;
} else if (boundModeString.equalsIgnoreCase("Extrapolate")) {
boundMode = BoundMode::Extrapolate;
} else if (boundModeString.equalsIgnoreCase("Wrap")) {
boundMode = BoundMode::Wrap;
} else {
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throw StoredFunctionException(strf("Unrecognized BoundMode '{}'", boundModeString));
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}
return ParametricFunction<double, double>(points, interpolationMode, boundMode);
} catch (StarException const& e) {
throw StoredFunctionException("Error parsing StoredFunction descriptor", e);
}
}
ParametricTable<int, Json> FunctionDatabase::parametricTableFromConfig(Json descriptor) {
try {
List<pair<int, Json>> points;
for (size_t i = 0; i < descriptor.size(); ++i) {
auto pointPair = descriptor.get(i);
if (pointPair.size() != 2)
throw StoredFunctionException("Each point must be a list of size 2");
points.append({pointPair.getInt(0), pointPair.get(1)});
}
return ParametricTable<int, Json>(points);
} catch (StarException const& e) {
throw StoredFunctionException("Error parsing StoredConfigFunction descriptor", e);
}
}
MultiTable2D FunctionDatabase::multiTable2DFromConfig(Json descriptor) {
try {
String interpolationModeString = descriptor.getString(0);
String boundModeString = descriptor.getString(1);
List<double> xaxis;
List<double> yaxis;
MultiArray2D points;
auto grid = descriptor.getArray(2);
for (size_t y = 0; y < grid.size(); ++y) {
auto row = grid[y].toArray();
if (y == 0) {
for (size_t x = 0; x < row.size(); ++x) {
if (x > 0)
xaxis.append(row[x].toFloat());
}
points.resize({row.size() - 1, grid.size() - 1});
} else {
yaxis.append(row[0].toFloat());
auto cells = row[1].toArray();
if (cells.size() != xaxis.size())
throw StarException("Number of sample points doesn't match axis size.");
for (size_t x = 0; x < cells.size(); x++)
points.set({x, y - 1}, cells[x].toFloat());
}
}
InterpolationMode interpolationMode;
if (interpolationModeString.equalsIgnoreCase("HalfStep")) {
interpolationMode = InterpolationMode::HalfStep;
} else if (interpolationModeString.equalsIgnoreCase("Linear")) {
interpolationMode = InterpolationMode::Linear;
} else if (interpolationModeString.equalsIgnoreCase("Cubic")) {
interpolationMode = InterpolationMode::Cubic;
} else {
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throw StoredFunctionException(strf("Unrecognized InterpolationMode '{}'", interpolationModeString));
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}
BoundMode boundMode;
if (boundModeString.equalsIgnoreCase("Clamp")) {
boundMode = BoundMode::Clamp;
} else if (boundModeString.equalsIgnoreCase("Extrapolate")) {
boundMode = BoundMode::Extrapolate;
} else if (boundModeString.equalsIgnoreCase("Wrap")) {
boundMode = BoundMode::Wrap;
} else {
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throw StoredFunctionException(strf("Unrecognized BoundMode '{}'", boundModeString));
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}
MultiTable2D table;
table.setRange(0, std::vector<double>(xaxis.begin(), xaxis.end()));
table.setRange(1, std::vector<double>(yaxis.begin(), yaxis.end()));
table.setInterpolationMode(interpolationMode);
table.setBoundMode(boundMode);
table.array() = points;
return table;
} catch (StarException const& e) {
throw StoredFunctionException("Error parsing function2 descriptor", e);
}
}
}