/* ============================================================================== This file is part of the JUCE framework. Copyright (c) Raw Material Software Limited JUCE is an open source framework subject to commercial or open source licensing. By downloading, installing, or using the JUCE framework, or combining the JUCE framework with any other source code, object code, content or any other copyrightable work, you agree to the terms of the JUCE End User Licence Agreement, and all incorporated terms including the JUCE Privacy Policy and the JUCE Website Terms of Service, as applicable, which will bind you. If you do not agree to the terms of these agreements, we will not license the JUCE framework to you, and you must discontinue the installation or download process and cease use of the JUCE framework. JUCE End User Licence Agreement: https://juce.com/legal/juce-8-licence/ JUCE Privacy Policy: https://juce.com/juce-privacy-policy JUCE Website Terms of Service: https://juce.com/juce-website-terms-of-service/ Or: You may also use this code under the terms of the AGPLv3: https://www.gnu.org/licenses/agpl-3.0.en.html THE JUCE FRAMEWORK IS PROVIDED "AS IS" WITHOUT ANY WARRANTY, AND ALL WARRANTIES, WHETHER EXPRESSED OR IMPLIED, INCLUDING WARRANTY OF MERCHANTABILITY OR FITNESS FOR A PARTICULAR PURPOSE, ARE DISCLAIMED. ============================================================================== */ namespace juce::dsp { template LookupTable::LookupTable() { data.resize (1); } template LookupTable::LookupTable (const std::function& functionToApproximate, size_t numPointsToUse) { initialise (functionToApproximate, numPointsToUse); } //============================================================================== template void LookupTable::initialise (const std::function& functionToApproximate, size_t numPointsToUse) { data.resize (static_cast (getRequiredBufferSize (numPointsToUse))); for (size_t i = 0; i < numPointsToUse; ++i) { auto value = functionToApproximate (i); jassert (! std::isnan (value)); jassert (! std::isinf (value)); // Make sure functionToApproximate returns a sensible value for the entire specified range. // E.g., this won't work for zero: [] (size_t i) { return 1.0f / i; } data.getReference (static_cast (i)) = value; } prepare(); } template void LookupTable::prepare() noexcept { auto guardIndex = static_cast (getGuardIndex()); data.getReference (guardIndex) = data.getUnchecked (guardIndex - 1); } template void LookupTableTransform::initialise (const std::function& functionToApproximate, FloatType minInputValueToUse, FloatType maxInputValueToUse, size_t numPoints) { jassert (maxInputValueToUse > minInputValueToUse); minInputValue = minInputValueToUse; maxInputValue = maxInputValueToUse; scaler = FloatType (numPoints - 1) / (maxInputValueToUse - minInputValueToUse); offset = -minInputValueToUse * scaler; const auto initFn = [functionToApproximate, minInputValueToUse, maxInputValueToUse, numPoints] (size_t i) { return functionToApproximate ( jlimit ( minInputValueToUse, maxInputValueToUse, jmap (FloatType (i), FloatType (0), FloatType (numPoints - 1), minInputValueToUse, maxInputValueToUse)) ); }; lookupTable.initialise (initFn, numPoints); } //============================================================================== template double LookupTableTransform::calculateMaxRelativeError (const std::function& functionToApproximate, FloatType minInputValue, FloatType maxInputValue, size_t numPoints, size_t numTestPoints) { jassert (maxInputValue > minInputValue); if (numTestPoints == 0) numTestPoints = 100 * numPoints; // use default LookupTableTransform transform (functionToApproximate, minInputValue, maxInputValue, numPoints); double maxError = 0; for (size_t i = 0; i < numTestPoints; ++i) { auto inputValue = jmap (FloatType (i), FloatType (0), FloatType (numTestPoints - 1), minInputValue, maxInputValue); auto approximatedOutputValue = transform.processSample (inputValue); auto referenceOutputValue = functionToApproximate (inputValue); maxError = jmax (maxError, calculateRelativeDifference ((double) referenceOutputValue, (double) approximatedOutputValue)); } return maxError; } //============================================================================== template double LookupTableTransform::calculateRelativeDifference (double x, double y) noexcept { static const auto eps = std::numeric_limits::min(); auto absX = std::abs (x); auto absY = std::abs (y); auto absDiff = std::abs (x - y); if (absX < eps) { if (absY >= eps) return absDiff / absY; return absDiff; // return the absolute error if both numbers are too close to zero } return absDiff / std::min (absX, absY); } //============================================================================== template class LookupTable; template class LookupTable; template class LookupTableTransform; template class LookupTableTransform; } // namespace juce::dsp