613 lines
24 KiB
C++
613 lines
24 KiB
C++
/***************************************************************************
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* Copyright (c) 2011 Jürgen Riegel <juergen.riegel@web.de> *
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* *
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* This file is part of the FreeCAD CAx development system. *
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* *
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* This library is free software; you can redistribute it and/or *
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* modify it under the terms of the GNU Library General Public *
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* License as published by the Free Software Foundation; either *
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* version 2 of the License, or (at your option) any later version. *
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* *
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* This library is distributed in the hope that it will be useful, *
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* but WITHOUT ANY WARRANTY; without even the implied warranty of *
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
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* GNU Library General Public License for more details. *
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* *
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* You should have received a copy of the GNU Library General Public *
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* License along with this library; see the file COPYING.LIB. If not, *
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* write to the Free Software Foundation, Inc., 59 Temple Place, *
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* Suite 330, Boston, MA 02111-1307, USA *
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* *
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***************************************************************************/
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#include "PreCompiled.h"
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#ifndef _PreComp_
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# include <cmath>
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# include <limits>
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# include <sstream>
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#endif
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#include "Unit.h"
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#include "Exception.h"
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#include "Quantity.h"
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using namespace Base;
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static inline void checkPow(UnitSignature sig, double exp)
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{
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auto isInt = [](double value) {
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return std::fabs(std::round(value) - value) < std::numeric_limits<double>::epsilon();
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};
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if (!isInt(sig.Length * exp) ||
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!isInt(sig.Mass * exp) ||
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!isInt(sig.Time * exp) ||
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!isInt(sig.ElectricCurrent * exp) ||
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!isInt(sig.ThermodynamicTemperature * exp) ||
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!isInt(sig.AmountOfSubstance * exp) ||
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!isInt(sig.LuminousIntensity * exp) ||
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!isInt(sig.Angle * exp)) {
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throw Base::UnitsMismatchError("pow() of unit not possible");
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}
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}
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static inline void checkRange(const char * op, int length, int mass, int time, int electricCurrent,
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int thermodynamicTemperature, int amountOfSubstance, int luminousIntensity, int angle)
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{
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if ( ( length >= (1 << (UnitSignatureLengthBits - 1)) ) ||
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( mass >= (1 << (UnitSignatureMassBits - 1)) ) ||
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( time >= (1 << (UnitSignatureTimeBits - 1)) ) ||
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( electricCurrent >= (1 << (UnitSignatureElectricCurrentBits - 1)) ) ||
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( thermodynamicTemperature >= (1 << (UnitSignatureThermodynamicTemperatureBits - 1)) ) ||
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( amountOfSubstance >= (1 << (UnitSignatureAmountOfSubstanceBits - 1)) ) ||
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( luminousIntensity >= (1 << (UnitSignatureLuminousIntensityBits - 1)) ) ||
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( angle >= (1 << (UnitSignatureAngleBits - 1)) ) )
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throw Base::OverflowError((std::string("Unit overflow in ") + std::string(op)).c_str());
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if ( ( length < -(1 << (UnitSignatureLengthBits - 1)) ) ||
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( mass < -(1 << (UnitSignatureMassBits - 1)) ) ||
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( time < -(1 << (UnitSignatureTimeBits - 1)) ) ||
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( electricCurrent < -(1 << (UnitSignatureElectricCurrentBits - 1)) ) ||
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( thermodynamicTemperature < -(1 << (UnitSignatureThermodynamicTemperatureBits - 1)) ) ||
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( amountOfSubstance < -(1 << (UnitSignatureAmountOfSubstanceBits - 1)) ) ||
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( luminousIntensity < -(1 << (UnitSignatureLuminousIntensityBits - 1)) ) ||
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( angle < -(1 << (UnitSignatureAngleBits - 1)) ) )
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throw Base::UnderflowError((std::string("Unit underflow in ") + std::string(op)).c_str());
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}
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Unit::Unit(int8_t Length,
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int8_t Mass,
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int8_t Time,
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int8_t ElectricCurrent,
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int8_t ThermodynamicTemperature,
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int8_t AmountOfSubstance,
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int8_t LuminousIntensity,
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int8_t Angle)
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{
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checkRange("unit",
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Length,
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Mass,
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Time,
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ElectricCurrent,
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ThermodynamicTemperature,
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AmountOfSubstance,
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LuminousIntensity,
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Angle);
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Sig.Length = Length;
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Sig.Mass = Mass;
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Sig.Time = Time;
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Sig.ElectricCurrent = ElectricCurrent;
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Sig.ThermodynamicTemperature = ThermodynamicTemperature;
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Sig.AmountOfSubstance = AmountOfSubstance;
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Sig.LuminousIntensity = LuminousIntensity;
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Sig.Angle = Angle;
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}
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Unit::Unit()
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{
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Sig.Length = 0;
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Sig.Mass = 0;
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Sig.Time = 0;
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Sig.ElectricCurrent = 0;
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Sig.ThermodynamicTemperature = 0;
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Sig.AmountOfSubstance = 0;
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Sig.LuminousIntensity = 0;
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Sig.Angle = 0;
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}
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Unit::Unit(const Unit& that)
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{
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this->Sig = that.Sig;
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}
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Unit::Unit(const QString& expr)
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{
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try {
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*this = Quantity::parse(expr).getUnit();
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}
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catch (const Base::ParserError&) {
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Sig.Length = 0;
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Sig.Mass = 0;
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Sig.Time = 0;
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Sig.ElectricCurrent = 0;
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Sig.ThermodynamicTemperature = 0;
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Sig.AmountOfSubstance = 0;
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Sig.LuminousIntensity = 0;
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Sig.Angle = 0;
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}
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}
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Unit Unit::pow(double exp) const
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{
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checkPow(Sig, exp);
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checkRange("pow()",
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static_cast<int>(Sig.Length * exp),
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static_cast<int>(Sig.Mass * exp),
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static_cast<int>(Sig.Time * exp),
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static_cast<int>(Sig.ElectricCurrent * exp),
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static_cast<int>(Sig.ThermodynamicTemperature * exp),
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static_cast<int>(Sig.AmountOfSubstance * exp),
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static_cast<int>(Sig.LuminousIntensity * exp),
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static_cast<int>(Sig.Angle * exp));
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Unit result;
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result.Sig.Length = static_cast<int8_t>(Sig.Length * exp);
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result.Sig.Mass = static_cast<int8_t>(Sig.Mass * exp);
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result.Sig.Time = static_cast<int8_t>(Sig.Time * exp);
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result.Sig.ElectricCurrent = static_cast<int8_t>(Sig.ElectricCurrent * exp);
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result.Sig.ThermodynamicTemperature = static_cast<int8_t>(Sig.ThermodynamicTemperature * exp);
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result.Sig.AmountOfSubstance = static_cast<int8_t>(Sig.AmountOfSubstance * exp);
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result.Sig.LuminousIntensity = static_cast<int8_t>(Sig.LuminousIntensity * exp);
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result.Sig.Angle = static_cast<int8_t>(Sig.Angle * exp);
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return result;
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}
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bool Unit::isEmpty()const
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{
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return (this->Sig.Length == 0)
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&& (this->Sig.Mass == 0)
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&& (this->Sig.Time == 0)
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&& (this->Sig.ElectricCurrent == 0)
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&& (this->Sig.ThermodynamicTemperature == 0)
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&& (this->Sig.AmountOfSubstance == 0)
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&& (this->Sig.LuminousIntensity == 0)
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&& (this->Sig.Angle == 0);
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}
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bool Unit::operator ==(const Unit& that) const
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{
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return (this->Sig.Length == that.Sig.Length)
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&& (this->Sig.Mass == that.Sig.Mass)
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&& (this->Sig.Time == that.Sig.Time)
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&& (this->Sig.ElectricCurrent == that.Sig.ElectricCurrent)
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&& (this->Sig.ThermodynamicTemperature == that.Sig.ThermodynamicTemperature)
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&& (this->Sig.AmountOfSubstance == that.Sig.AmountOfSubstance)
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&& (this->Sig.LuminousIntensity == that.Sig.LuminousIntensity)
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&& (this->Sig.Angle == that.Sig.Angle);
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}
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Unit Unit::operator *(const Unit &right) const
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{
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checkRange("* operator",
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Sig.Length +right.Sig.Length,
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Sig.Mass + right.Sig.Mass,
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Sig.Time + right.Sig.Time,
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Sig.ElectricCurrent + right.Sig.ElectricCurrent,
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Sig.ThermodynamicTemperature + right.Sig.ThermodynamicTemperature,
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Sig.AmountOfSubstance + right.Sig.AmountOfSubstance,
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Sig.LuminousIntensity + right.Sig.LuminousIntensity,
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Sig.Angle + right.Sig.Angle);
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Unit result;
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result.Sig.Length = Sig.Length + right.Sig.Length;
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result.Sig.Mass = Sig.Mass + right.Sig.Mass;
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result.Sig.Time = Sig.Time + right.Sig.Time;
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result.Sig.ElectricCurrent = Sig.ElectricCurrent + right.Sig.ElectricCurrent;
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result.Sig.ThermodynamicTemperature = Sig.ThermodynamicTemperature + right.Sig.ThermodynamicTemperature;
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result.Sig.AmountOfSubstance = Sig.AmountOfSubstance + right.Sig.AmountOfSubstance;
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result.Sig.LuminousIntensity = Sig.LuminousIntensity + right.Sig.LuminousIntensity;
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result.Sig.Angle = Sig.Angle + right.Sig.Angle;
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return result;
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}
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Unit Unit::operator /(const Unit &right) const
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{
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checkRange("/ operator",
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Sig.Length - right.Sig.Length,
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Sig.Mass - right.Sig.Mass,
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Sig.Time - right.Sig.Time,
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Sig.ElectricCurrent - right.Sig.ElectricCurrent,
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Sig.ThermodynamicTemperature - right.Sig.ThermodynamicTemperature,
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Sig.AmountOfSubstance - right.Sig.AmountOfSubstance,
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Sig.LuminousIntensity - right.Sig.LuminousIntensity,
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Sig.Angle - right.Sig.Angle);
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Unit result;
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result.Sig.Length = Sig.Length - right.Sig.Length;
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result.Sig.Mass = Sig.Mass - right.Sig.Mass;
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result.Sig.Time = Sig.Time - right.Sig.Time;
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result.Sig.ElectricCurrent = Sig.ElectricCurrent - right.Sig.ElectricCurrent;
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result.Sig.ThermodynamicTemperature = Sig.ThermodynamicTemperature - right.Sig.ThermodynamicTemperature;
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result.Sig.AmountOfSubstance = Sig.AmountOfSubstance - right.Sig.AmountOfSubstance;
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result.Sig.LuminousIntensity = Sig.LuminousIntensity - right.Sig.LuminousIntensity;
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result.Sig.Angle = Sig.Angle - right.Sig.Angle;
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return result;
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}
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Unit& Unit::operator = (const Unit &New)
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{
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Sig.Length = New.Sig.Length;
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Sig.Mass = New.Sig.Mass;
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Sig.Time = New.Sig.Time;
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Sig.ElectricCurrent = New.Sig.ElectricCurrent;
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Sig.ThermodynamicTemperature = New.Sig.ThermodynamicTemperature;
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Sig.AmountOfSubstance = New.Sig.AmountOfSubstance;
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Sig.LuminousIntensity = New.Sig.LuminousIntensity;
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Sig.Angle = New.Sig.Angle;
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return *this;
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}
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QString Unit::getString() const
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{
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std::stringstream ret;
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if (isEmpty())
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return {};
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if (Sig.Length > 0 ||
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Sig.Mass > 0 ||
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Sig.Time > 0 ||
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Sig.ElectricCurrent > 0 ||
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Sig.ThermodynamicTemperature> 0 ||
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Sig.AmountOfSubstance > 0 ||
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Sig.LuminousIntensity > 0 ||
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Sig.Angle > 0 ){
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bool mult = false;
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if (Sig.Length > 0) {
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mult = true;
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ret << "mm";
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if (Sig.Length > 1)
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ret << "^" << Sig.Length;
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}
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if (Sig.Mass > 0) {
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if (mult)
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ret<<'*';
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mult = true;
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ret << "kg";
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if (Sig.Mass > 1)
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ret << "^" << Sig.Mass;
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}
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if (Sig.Time > 0) {
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if (mult)
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ret<<'*';
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mult = true;
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ret << "s";
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if (Sig.Time > 1)
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ret << "^" << Sig.Time;
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}
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if (Sig.ElectricCurrent > 0) {
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if (mult) ret<<'*';
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mult = true;
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ret << "A";
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if (Sig.ElectricCurrent > 1)
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ret << "^" << Sig.ElectricCurrent;
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}
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if (Sig.ThermodynamicTemperature > 0) {
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if (mult)
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ret<<'*';
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mult = true;
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ret << "K";
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if (Sig.ThermodynamicTemperature > 1)
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ret << "^" << Sig.ThermodynamicTemperature;
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}
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if (Sig.AmountOfSubstance > 0){
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if (mult)
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ret<<'*';
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mult = true;
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ret << "mol";
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if (Sig.AmountOfSubstance > 1)
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ret << "^" << Sig.AmountOfSubstance;
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}
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if (Sig.LuminousIntensity > 0) {
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if (mult)
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ret<<'*';
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mult = true;
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ret << "cd";
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if (Sig.LuminousIntensity > 1)
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ret << "^" << Sig.LuminousIntensity;
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}
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if (Sig.Angle > 0) {
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if (mult)
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ret<<'*';
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mult = true;
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ret << "deg";
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if (Sig.Angle > 1)
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ret << "^" << Sig.Angle;
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}
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}
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else {
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ret << "1";
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}
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if (Sig.Length < 0 ||
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Sig.Mass < 0 ||
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Sig.Time < 0 ||
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Sig.ElectricCurrent < 0 ||
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Sig.ThermodynamicTemperature< 0 ||
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Sig.AmountOfSubstance < 0 ||
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Sig.LuminousIntensity < 0 ||
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Sig.Angle < 0 ){
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ret << "/";
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int nnom = 0;
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nnom += Sig.Length<0?1:0;
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nnom += Sig.Mass<0?1:0;
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nnom += Sig.Time<0?1:0;
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nnom += Sig.ElectricCurrent<0?1:0;
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nnom += Sig.ThermodynamicTemperature<0?1:0;
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nnom += Sig.AmountOfSubstance<0?1:0;
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nnom += Sig.LuminousIntensity<0?1:0;
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nnom += Sig.Angle<0?1:0;
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if (nnom > 1)
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ret << '(';
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bool mult=false;
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if (Sig.Length < 0) {
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ret << "mm";
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mult = true;
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if (Sig.Length < -1)
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ret << "^" << abs(Sig.Length);
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}
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if (Sig.Mass < 0) {
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if (mult)
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ret<<'*';
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mult = true;
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ret << "kg";
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if (Sig.Mass < -1)
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ret << "^" << abs(Sig.Mass);
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}
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if (Sig.Time < 0) {
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if (mult)
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ret<<'*';
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mult = true;
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ret << "s";
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if (Sig.Time < -1)
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ret << "^" << abs(Sig.Time);
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}
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if (Sig.ElectricCurrent < 0) {
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if (mult)
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ret<<'*';
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mult = true;
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ret << "A";
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if (Sig.ElectricCurrent < -1)
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ret << "^" << abs(Sig.ElectricCurrent);
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}
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if (Sig.ThermodynamicTemperature < 0) {
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if (mult)
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ret<<'*';
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mult = true;
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ret << "K";
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if (Sig.ThermodynamicTemperature < -1)
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ret << "^" << abs(Sig.ThermodynamicTemperature);
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}
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if (Sig.AmountOfSubstance < 0) {
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if (mult)
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ret<<'*';
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mult = true;
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ret << "mol";
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if (Sig.AmountOfSubstance < -1)
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ret << "^" << abs(Sig.AmountOfSubstance);
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}
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if (Sig.LuminousIntensity < 0) {
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if (mult)
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ret<<'*';
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mult = true;
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ret << "cd";
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if (Sig.LuminousIntensity < -1)
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ret << "^" << abs(Sig.LuminousIntensity);
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}
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if (Sig.Angle < 0) {
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if (mult)
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ret<<'*';
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mult = true;
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ret << "deg";
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if (Sig.Angle < -1)
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ret << "^" << abs(Sig.Angle);
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}
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if (nnom > 1)
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ret << ')';
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}
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return QString::fromUtf8(ret.str().c_str());
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}
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QString Unit::getTypeString() const
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{
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if (*this == Unit::Acceleration)
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return QString::fromLatin1("Acceleration");
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if (*this == Unit::AmountOfSubstance)
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return QString::fromLatin1("AmountOfSubstance");
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if (*this == Unit::Angle)
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return QString::fromLatin1("Angle");
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if (*this == Unit::AngleOfFriction)
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return QString::fromLatin1("AngleOfFriction");
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if (*this == Unit::Area)
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return QString::fromLatin1("Area");
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if (*this == Unit::CurrentDensity)
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return QString::fromLatin1("CurrentDensity");
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if (*this == Unit::Density)
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return QString::fromLatin1("Density");
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if (*this == Unit::DissipationRate)
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return QString::fromLatin1("DissipationRate");
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if (*this == Unit::DynamicViscosity)
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return QString::fromLatin1("DynamicViscosity");
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if (*this == Unit::ElectricalCapacitance)
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return QString::fromLatin1("ElectricalCapacitance");
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if (*this == Unit::ElectricalConductance)
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return QString::fromLatin1("ElectricalConductance");
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if (*this == Unit::ElectricalConductivity)
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return QString::fromLatin1("ElectricalConductivity");
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if (*this == Unit::ElectricalInductance)
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return QString::fromLatin1("ElectricalInductance");
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if (*this == Unit::ElectricalResistance)
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return QString::fromLatin1("ElectricalResistance");
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if (*this == Unit::ElectricCharge)
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return QString::fromLatin1("ElectricCharge");
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if (*this == Unit::ElectricCurrent)
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return QString::fromLatin1("ElectricCurrent");
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if (*this == Unit::ElectricPotential)
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return QString::fromLatin1("ElectricPotential");
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if (*this == Unit::Frequency)
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return QString::fromLatin1("Frequency");
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if (*this == Unit::Force)
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return QString::fromLatin1("Force");
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if (*this == Unit::HeatFlux)
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return QString::fromLatin1("HeatFlux");
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if (*this == Unit::InverseArea)
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return QString::fromLatin1("InverseArea");
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if (*this == Unit::InverseLength)
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return QString::fromLatin1("InverseLength");
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if (*this == Unit::InverseVolume)
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return QString::fromLatin1("InverseVolume");
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if (*this == Unit::KinematicViscosity)
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return QString::fromLatin1("KinematicViscosity");
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if (*this == Unit::Length)
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return QString::fromLatin1("Length");
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if (*this == Unit::LuminousIntensity)
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return QString::fromLatin1("LuminousIntensity");
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if (*this == Unit::MagneticFieldStrength)
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return QString::fromLatin1("MagneticFieldStrength");
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if (*this == Unit::MagneticFlux)
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return QString::fromLatin1("MagneticFlux");
|
|
if (*this == Unit::MagneticFluxDensity)
|
|
return QString::fromLatin1("MagneticFluxDensity");
|
|
if (*this == Unit::Magnetization)
|
|
return QString::fromLatin1("Magnetization");
|
|
if (*this == Unit::Mass)
|
|
return QString::fromLatin1("Mass");
|
|
if (*this == Unit::Pressure)
|
|
return QString::fromLatin1("Pressure");
|
|
if (*this == Unit::Power)
|
|
return QString::fromLatin1("Power");
|
|
if (*this == Unit::ShearModulus)
|
|
return QString::fromLatin1("ShearModulus");
|
|
if (*this == Unit::SpecificEnergy)
|
|
return QString::fromLatin1("SpecificEnergy");
|
|
if (*this == Unit::SpecificHeat)
|
|
return QString::fromLatin1("SpecificHeat");
|
|
if (*this == Unit::Stiffness)
|
|
return QString::fromLatin1("Stiffness");
|
|
if (*this == Unit::Stress)
|
|
return QString::fromLatin1("Stress");
|
|
if (*this == Unit::Temperature)
|
|
return QString::fromLatin1("Temperature");
|
|
if (*this == Unit::ThermalConductivity)
|
|
return QString::fromLatin1("ThermalConductivity");
|
|
if (*this == Unit::ThermalExpansionCoefficient)
|
|
return QString::fromLatin1("ThermalExpansionCoefficient");
|
|
if (*this == Unit::ThermalTransferCoefficient)
|
|
return QString::fromLatin1("ThermalTransferCoefficient");
|
|
if (*this == Unit::TimeSpan)
|
|
return QString::fromLatin1("TimeSpan");
|
|
if (*this == Unit::UltimateTensileStrength)
|
|
return QString::fromLatin1("UltimateTensileStrength");
|
|
if (*this == Unit::VacuumPermittivity)
|
|
return QString::fromLatin1("VacuumPermittivity");
|
|
if (*this == Unit::Velocity)
|
|
return QString::fromLatin1("Velocity");
|
|
if (*this == Unit::Volume)
|
|
return QString::fromLatin1("Volume");
|
|
if (*this == Unit::VolumeFlowRate)
|
|
return QString::fromLatin1("VolumeFlowRate");
|
|
if (*this == Unit::VolumetricThermalExpansionCoefficient)
|
|
return QString::fromLatin1("VolumetricThermalExpansionCoefficient");
|
|
if (*this == Unit::Work)
|
|
return QString::fromLatin1("Work");
|
|
if (*this == Unit::YieldStrength)
|
|
return QString::fromLatin1("YieldStrength");
|
|
if (*this == Unit::YoungsModulus)
|
|
return QString::fromLatin1("YoungsModulus");
|
|
|
|
return {};
|
|
}
|
|
|
|
// SI base units
|
|
Unit Unit::AmountOfSubstance (0, 0, 0, 0, 0, 1);
|
|
Unit Unit::ElectricCurrent (0, 0, 0, 1);
|
|
Unit Unit::Length (1);
|
|
Unit Unit::LuminousIntensity (0, 0, 0, 0, 0, 0, 1);
|
|
Unit Unit::Mass (0, 1);
|
|
Unit Unit::Temperature (0, 0, 0, 0, 1);
|
|
Unit Unit::TimeSpan (0, 0, 1);
|
|
|
|
// all other units
|
|
Unit Unit::Acceleration (1, 0, -2);
|
|
Unit Unit::Angle (0, 0, 0, 0, 0, 0, 0, 1);
|
|
Unit Unit::AngleOfFriction (0, 0, 0, 0, 0, 0, 0, 1);
|
|
Unit Unit::Area (2);
|
|
Unit Unit::CompressiveStrength (-1, 1, -2);
|
|
Unit Unit::CurrentDensity (-2, 0, 0, 1);
|
|
Unit Unit::Density (-3, 1);
|
|
Unit Unit::DissipationRate (2, 0, -3); // https://cfd-online.com/Wiki/Turbulence_dissipation_rate
|
|
Unit Unit::DynamicViscosity (-1, 1, -1);
|
|
Unit Unit::ElectricalCapacitance (-2, -1, 4, 2);
|
|
Unit Unit::ElectricalConductance (-2, -1, 3, 2);
|
|
Unit Unit::ElectricalConductivity (-3, -1, 3, 2);
|
|
Unit Unit::ElectricalInductance (2, 1, -2, -2);
|
|
Unit Unit::ElectricalResistance (2, 1, -3, -2);
|
|
Unit Unit::ElectricCharge (0, 0, 1, 1);
|
|
Unit Unit::ElectricPotential (2, 1, -3, -1);
|
|
Unit Unit::Force (1, 1, -2);
|
|
Unit Unit::Frequency (0, 0, -1);
|
|
Unit Unit::HeatFlux (0, 1, -3, 0, 0);
|
|
Unit Unit::InverseArea (-2, 0, 0);
|
|
Unit Unit::InverseLength (-1, 0, 0);
|
|
Unit Unit::InverseVolume (-3, 0, 0);
|
|
Unit Unit::KinematicViscosity (2, 0, -1);
|
|
Unit Unit::MagneticFieldStrength (-1,0,0,1);
|
|
Unit Unit::MagneticFlux (2,1,-2,-1);
|
|
Unit Unit::MagneticFluxDensity (0,1,-2,-1);
|
|
Unit Unit::Magnetization (-1,0,0,1);
|
|
Unit Unit::Pressure (-1,1,-2);
|
|
Unit Unit::Power (2, 1, -3);
|
|
Unit Unit::ShearModulus (-1,1,-2);
|
|
Unit Unit::SpecificEnergy (2, 0, -2);
|
|
Unit Unit::SpecificHeat (2, 0, -2, 0, -1);
|
|
Unit Unit::Stiffness (0, 1, -2);
|
|
Unit Unit::Stress (-1,1,-2);
|
|
Unit Unit::ThermalConductivity (1, 1, -3, 0, -1);
|
|
Unit Unit::ThermalExpansionCoefficient(0, 0, 0, 0, -1);
|
|
Unit Unit::ThermalTransferCoefficient (0, 1, -3, 0, -1);
|
|
Unit Unit::UltimateTensileStrength (-1,1,-2);
|
|
Unit Unit::VacuumPermittivity (-3, -1, 4, 2);
|
|
Unit Unit::Velocity (1, 0, -1);
|
|
Unit Unit::Volume (3);
|
|
Unit Unit::VolumeFlowRate (3, 0, -1);
|
|
Unit Unit::VolumetricThermalExpansionCoefficient(0, 0, 0, 0, -1);
|
|
Unit Unit::Work (2, 1, -2);
|
|
Unit Unit::YieldStrength (-1,1,-2);
|
|
Unit Unit::YoungsModulus (-1,1,-2);
|