/* ============================================================================== This file is part of the JUCE 6 technical preview. Copyright (c) 2020 - Raw Material Software Limited You may use this code under the terms of the GPL v3 (see www.gnu.org/licenses). For this technical preview, this file is not subject to commercial licensing. JUCE IS PROVIDED "AS IS" WITHOUT ANY WARRANTY, AND ALL WARRANTIES, WHETHER EXPRESSED OR IMPLIED, INCLUDING MERCHANTABILITY AND FITNESS FOR PURPOSE, ARE DISCLAIMED. ============================================================================== */ namespace juce { namespace 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 dsp } // namespace juce