/*
* JScience - Java(TM) Tools and Libraries for the Advancement of Sciences.
* Copyright (C) 2006 - JScience (http://jscience.org/)
* All rights reserved.
*
* Permission to use, copy, modify, and distribute this software is
* freely granted, provided that this notice is preserved.
*/
package org.jscience;
import java.math.BigInteger;
import java.util.Date;
import java.util.Random;
import javax.measure.quantity.*;
import javax.measure.unit.*;
import org.jscience.economics.money.Currency;
import org.jscience.economics.money.Money;
import org.jscience.geography.coordinates.Altitude;
import org.jscience.geography.coordinates.CompoundCoordinates;
import org.jscience.geography.coordinates.LatLong;
import org.jscience.geography.coordinates.Time;
import org.jscience.geography.coordinates.UTM;
import org.jscience.geography.coordinates.XYZ;
import org.jscience.geography.coordinates.crs.CoordinatesConverter;
import org.jscience.mathematics.function.Polynomial;
import org.jscience.mathematics.function.Variable;
import org.jscience.mathematics.number.Complex;
import org.jscience.mathematics.number.Float64;
import org.jscience.mathematics.number.LargeInteger;
import org.jscience.mathematics.number.ModuloInteger;
import org.jscience.mathematics.number.Rational;
import org.jscience.mathematics.number.Real;
import org.jscience.mathematics.vector.ComplexMatrix;
import org.jscience.mathematics.vector.DenseMatrix;
import org.jscience.mathematics.vector.DenseVector;
import org.jscience.mathematics.vector.Float64Matrix;
import org.jscience.mathematics.vector.Matrix;
import org.jscience.mathematics.vector.Vector;
import org.jscience.physics.amount.Amount;
import org.jscience.physics.amount.AmountFormat;
import org.jscience.physics.model.RelativisticModel;
import javolution.lang.Configurable;
import javolution.lang.MathLib;
import javolution.text.TextBuilder;
import javolution.context.ConcurrentContext;
import javolution.context.LocalContext;
import javolution.context.StackContext;
import static javax.measure.unit.NonSI.*;
import static javax.measure.unit.SI.*;
import static org.jscience.economics.money.Currency.*;
/**
* This class represents the JScience library; it contains the
* {@link #main} method for versionning, self-tests, and performance
* analysis.
*
* @author Jean-Marie Dautelle
* @version 3.0, February 13, 2006
*/
public final class JScience {
/**
* Holds the version information.
*/
public final static String VERSION = "@VERSION@";
public static Configurable MODULO = new Configurable('w');
/**
* Default constructor.
*/
private JScience() {// Forbids derivation.
}
/**
* The library {@link #main} method. The archive
* is auto-executable.
*
* java [-cp javolution.jar] -jar jscience.jar version
* to output version information.java [-cp javolution.jar] -jar jscience.jar test to
* perform self-tests.java [-cp javolution.jar] -jar jscience.jar perf for
* performance analysis.
*
* @param args the option arguments.
* @throws Exception if a problem occurs.
*/
public static void main(String[] args) throws Exception {
System.out.println("Version " + VERSION + " (http://jscience.org)");
System.out.println("");
if (args.length > 0) {
if (args[0].equals("version")) {
System.out.println("Version " + VERSION);
return;
} else if (args[0].equals("test")) {
testing();
return;
} else if (args[0].equals("perf")) {
benchmark();
return;
}
}
System.out
.println("Usage: java [-cp javolution.jar] -jar jscience.jar [arg]");
System.out.println("where arg is one of:");
System.out.println(" version (to show version information)");
System.out.println(" test (to perform self-tests)");
System.out.println(" perf (to run benchmark)");
}
/**
* Performs simple tests.
*
* @throws Exception if a problem occurs.
*/
private static void testing() throws Exception {
System.out.println("Load Configurable Parameters from System.getProperties()...");
Configurable.read(System.getProperties());
System.out.println("");
System.out.println("Testing...");
{
System.out.println("");
System.out.println("Exact Measurements");
Amount m0 = Amount.valueOf(100, POUND);
Amount m1 = m0.times(33).divide(2);
Amount m2 = Amount.valueOf("234 mA").to(
MICRO(AMPERE));
System.out.println("m0 = " + m0);
System.out.println("m1 = " + m1);
System.out.println("m2 = " + m2);
System.out.println("");
System.out.println("Inexact Measurements");
Amount m3 = Amount.valueOf(100.0, POUND);
Amount m4 = m0.divide(3);
Amount m5 = Amount.valueOf("234 mA").to(AMPERE);
Amount t0 = Amount.valueOf(-7.3, 0.5, CELSIUS);
System.out.println("m3 = " + m3);
System.out.println("m4 = " + m4);
System.out.println("m5 = " + m5);
System.out.println("t0 = " + t0);
System.out.println("");
System.out.println("Interval measurements");
Amount m6 = Amount.valueOf(20, 0.1, LITRE);
Amount m7 = Amount.rangeOf(10, 11, KILO(HERTZ));
System.out.println("m6 = " + m6);
System.out.println("m7 = " + m7);
System.out.println("");
System.out.println("Amount.equals (identical) / Amount.approximates " +
"(takes into account errors such as numeric errors)");
Amount m8 = Amount.valueOf(9000, HERTZ);
Amount m10 = m8.divide(3).times(3); // Still exact.
Amount m11 = m8.divide(7).times(7); // No more exact.
System.out.println("m8 = " + m8);
System.out.println("m10 = " + m10);
System.out.println("m11 = " + m11);
System.out.println("(m10 == m8) = " + m10.equals(m8));
System.out.println("(m10 ≅ m8) = " + m10.approximates(m8));
System.out.println("(m11 == m8) = " + m11.equals(m8));
System.out.println("(m11 ≅ m8) = " + m11.approximates(m8));
System.out.println("");
System.out.println("AmountFormat - Plus/Minus Error (3 digits error)");
AmountFormat.setInstance(AmountFormat
.getPlusMinusErrorInstance(3));
System.out.println("m3 = " + m3);
System.out.println("m4 = " + m4);
System.out.println("m5 = " + m5);
System.out.println("");
System.out.println("AmountFormat - Bracket Error (2 digits error)");
AmountFormat.setInstance(AmountFormat.getBracketErrorInstance(2));
System.out.println("m3 = " + m3);
System.out.println("m4 = " + m4);
System.out.println("m5 = " + m5);
System.out.println("");
System.out.println("AmountFormat - Exact Digits Only");
AmountFormat.setInstance(AmountFormat.getExactDigitsInstance());
System.out.println("m3 = " + m3);
System.out.println("m4 = " + m4);
System.out.println("m5 = " + m5);
System.out.println("");
System.out.println("Numeric Errors");
{
Amount x = Amount.valueOf(1.0, METRE);
Amount v = Amount.valueOf(0.01, METRES_PER_SECOND);
Amount t = Amount.valueOf(1.0, MICRO(SECOND));
long ns = System.nanoTime();
for (int i = 0; i < 10000000; i++) {
x = x.plus(v.times(t));
}
ns = System.nanoTime() - ns;
AmountFormat.setInstance(AmountFormat
.getExactDigitsInstance());
System.out.println(x
+ " ("
+ Amount.valueOf(ns, 0.5, NANO(SECOND)).to(
MILLI(SECOND)) + ")");
}
{
double x = 1.0; // m
double v = 0.01; // m/s
double t = 1E-6; // s
for (int i = 0; i < 10000000; i++) {
x += v * t; // Note: Most likely the compiler get v * t out of the loop.
}
System.out.println(x);
}
AmountFormat.setInstance(AmountFormat
.getPlusMinusErrorInstance(2));
}
{
System.out.println("");
System.out.println("Physical Models");
// Selects a relativistic model for dimension checking (typically at start-up).
RelativisticModel.select();
// Length and Duration can be added.
Amount x = Amount.valueOf(100, NonSI.INCH);
x = x.plus(Amount.valueOf("2.3 µs")).to(METRE);
System.out.println(x);
// Energy is compatible with mass (E=mc2)
Amount m = Amount.valueOf("12 GeV").to(KILOGRAM);
System.out.println(m);
}
{
System.out.println("");
System.out.println("Money/Currencies");
///////////////////////////////////////////////////////////////////////
// Calculates the cost of a car trip in Europe for an American tourist.
///////////////////////////////////////////////////////////////////////
// Use currency symbols instead of ISO-4217 codes.
UnitFormat.getInstance().label(USD, "$"); // Use "$" symbol instead of currency code ("USD")
UnitFormat.getInstance().label(EUR, "€"); // Use "€" symbol instead of currency code ("EUR")
// Sets exchange rates.
Currency.setReferenceCurrency(USD);
EUR.setExchangeRate(1.17); // 1.0 € = 1.17 $
// Calculates trip cost.
Amount carMileage = Amount.valueOf(20, MILE
.divide(GALLON_LIQUID_US)); // 20 mi/gal.
Amount gazPrice = Amount.valueOf(1.2, EUR.divide(LITRE)); // 1.2 €/L
Amount tripDistance = Amount.valueOf(400, KILO(SI.METRE)); // 400 km
Amount tripCost = tripDistance.divide(carMileage).times(
gazPrice).to(USD);
// Displays cost.
System.out.println("Trip cost = " + tripCost + " ("
+ tripCost.to(EUR) + ")");
}
{
System.out.println("");
System.out.println("Matrices/Vectors");
Amount R1 = Amount.valueOf(100, 1, OHM); // 1% precision.
Amount R2 = Amount.valueOf(300, 3, OHM); // 1% precision.
Amount U0 = Amount.valueOf(28, 0.01, VOLT); // ±0.01 V fluctuation.
// Equations: U0 = U1 + U2 |1 1 0 | |U1| |U0|
// U1 = R1 * I => |-1 0 R1| * |U2| = |0 |
// U2 = R2 * I |0 -1 R2| |I | |0 |
//
// A * X = B
//
DenseMatrix> A = DenseMatrix.valueOf(new Amount[][] {
{ Amount.ONE, Amount.ONE, Amount.valueOf(0, OHM) },
{ Amount.ONE.opposite(), Amount.ZERO, R1 },
{ Amount.ZERO, Amount.ONE.opposite(), R2 } });
DenseVector> B = DenseVector.valueOf(new Amount[]
{ U0, Amount.valueOf(0, VOLT), Amount.valueOf(0, VOLT) });
Vector> X = A.solve(B);
System.out.println(X);
System.out.println(X.get(2).to(MILLI(AMPERE)));
}
{
System.out.println("");
System.out.println("Polynomials");
// Defines two local variables (x, y).
Variable varX = new Variable.Local("x");
Variable varY = new Variable.Local("y");
// f(x) = 1 + 2x + ix²
Polynomial x = Polynomial.valueOf(Complex.ONE, varX);
Polynomial fx = x.pow(2).times(Complex.I).plus(
x.times(Complex.valueOf(2, 0)).plus(Complex.ONE));
System.out.println(fx);
System.out.println(fx.pow(2));
System.out.println(fx.differentiate(varX));
System.out.println(fx.integrate(varY));
System.out.println(fx.compose(fx));
// Calculates expression.
varX.set(Complex.valueOf(2, 3));
System.out.println(fx.evaluate());
}
{
System.out.println("");
System.out.println("Coordinates Conversions");
// Simple Lat/Long to UTM conversion.
CoordinatesConverter latLongToUTM = LatLong.CRS
.getConverterTo(UTM.CRS);
LatLong latLong = LatLong.valueOf(34.34, 23.56, DEGREE_ANGLE);
UTM utm = latLongToUTM.convert(latLong);
System.out.println(utm);
// Lat/Long to XYZ conversion (assume height of zero).
CoordinatesConverter latLongToXYZ = LatLong.CRS
.getConverterTo(XYZ.CRS);
XYZ xyz = latLongToXYZ.convert(latLong);
System.out.println(xyz);
// Compound coordinates - Lat/Long/Alt to XYZ conversion.
Altitude alt = Altitude.valueOf(2000, FOOT);
CompoundCoordinates latLongAlt =
CompoundCoordinates.valueOf(latLong, alt);
xyz = latLongAlt.getCoordinateReferenceSystem().getConverterTo(
XYZ.CRS).convert(latLongAlt);
System.out.println(xyz);
// Even more compounding...
Time time = Time.valueOf(new Date());
CompoundCoordinates, Time>
latLongAltTime = CompoundCoordinates.valueOf(latLongAlt, time);
System.out.println(latLongAltTime);
}
{
System.out.println("");
System.out.println("Numbers");
Real two = Real.valueOf(2); // 2.0000..00
Real three = Real.valueOf(3);
Real.setExactPrecision(100); // Assumes 100 exact digits for exact numbers.
System.out.println("2/3 = " + two.divide(three));
Real sqrt2 = two.sqrt();
System.out.println("sqrt(2) = " + sqrt2);
System.out.println("Precision = " + sqrt2.getPrecision()
+ " digits.");
LargeInteger dividend = LargeInteger.valueOf("3133861182986538201");
LargeInteger divisor = LargeInteger.valueOf("25147325102501733369");
Rational rational = Rational.valueOf(dividend, divisor);
System.out.println("rational = " + rational);
ModuloInteger m = ModuloInteger.valueOf("233424242346");
LocalContext.enter(); // Avoids impacting others threads.
try {
ModuloInteger.setModulus(LargeInteger.valueOf("31225208137"));
ModuloInteger inv = m.inverse();
System.out.println("inverse modulo = " + inv);
ModuloInteger one = inv.times(m);
System.out.println("verification: one = " + one);
} finally {
LocalContext.exit();
}
}
}
/**
* Measures performance.
*/
private static void benchmark() throws Exception {
System.out.println("Load Configurable Parameters from System.getProperties()...");
Configurable.read(System.getProperties());
System.out.println("");
System.out.println("Benchmark...");
Object[] results = new Object[10000];
System.out.println("");
System.out.println("Numerics Operations");
System.out.print("Float64 add: ");
startTime();
for (int i = 0; i < 10000; i++) {
StackContext.enter();
Float64 x = Float64.ONE;
for (int j = 0; j < results.length; j++) {
results[j] = x.plus(x);
}
StackContext.exit();
}
endTime(10000 * results.length);
System.out.print("Float64 multiply: ");
startTime();
for (int i = 0; i < 10000; i++) {
StackContext.enter();
Float64 x = Float64.valueOf(1.0);
for (int j = 0; j < results.length; j++) {
results[j] = x.times(x);
}
StackContext.exit();
}
endTime(10000 * results.length);
System.out.print("Complex add: ");
startTime();
for (int i = 0; i < 10000; i++) {
StackContext.enter();
Complex x = Complex.valueOf(1.0, 2.0);
for (int j = 0; j < results.length; j++) {
results[j] = x.plus(x);
}
StackContext.exit();
}
endTime(10000 * results.length);
System.out.print("Complex multiply: ");
startTime();
for (int i = 0; i < 10000; i++) {
StackContext.enter();
Complex x = Complex.valueOf(1.0, 2.0);
for (int j = 0; j < results.length; j++) {
results[j] = x.times(x);
}
StackContext.exit();
}
endTime(10000 * results.length);
System.out.print("Amount add: ");
startTime();
for (int i = 0; i < 10000; i++) {
StackContext.enter();
Amount x = Amount.valueOf(1.0, SI.KILOGRAM);
for (int j = 0; j < results.length; j++) {
results[j] = x.plus(x);
}
StackContext.exit();
}
endTime(10000 * results.length);
System.out.print("Amount multiply: ");
startTime();
for (int i = 0; i < 10000; i++) {
StackContext.enter();
Amount x = Amount.valueOf(1.0, SI.KILOGRAM);
for (int j = 0; j < results.length; j++) {
results[j] = x.times(x);
}
StackContext.exit();
}
endTime(10000 * results.length);
System.out.println();
System.out.println("LargeInteger (StackContext) versus BigInteger");
BigInteger big = BigInteger.probablePrime(1024, new Random());
byte[] bytes = big.toByteArray();
LargeInteger large = LargeInteger.valueOf(bytes, 0, bytes.length);
System.out.print("LargeInteger (1024 bits) addition: ");
startTime();
for (int i = 0; i < 1000; i++) {
StackContext.enter();
for (int j = 0; j < results.length; j++) {
results[j] = large.plus(large);
}
StackContext.exit();
}
endTime(1000 * results.length);
System.out.print("LargeInteger (1024 bits) multiplication: ");
startTime();
for (int i = 0; i < 100; i++) {
StackContext.enter();
for (int j = 0; j < results.length; j++) {
results[j] = large.times(large);
}
StackContext.exit();
}
endTime(100 * results.length);
System.out.print("BigInteger (1024 bits) addition: ");
startTime();
for (int i = 0; i < 1000; i++) {
for (int j = 0; j < results.length; j++) {
results[j] = big.add(big);
}
}
endTime(1000 * results.length);
System.out.print("BigInteger (1024 bits) multiplication: ");
startTime();
for (int i = 0; i < 100; i++) {
for (int j = 0; j < results.length; j++) {
results[j] = big.multiply(big);
}
}
endTime(100 * results.length);
System.out.println();
System.out.println("Matrix and Matrix versus "
+ "non-parameterized matrix (double)");
final int size = 500;
double[][] values = new double[size][size];
for (int i = 0; i < size; i++) {
for (int j = 0; j < size; j++) {
values[i][j] = MathLib.random();
}
}
System.out.println("Javolution Concurrency Disabled");
LocalContext.enter(); // Local setting.
try {
ConcurrentContext.setConcurrency(0);
multiplyMatrices(values);
} finally {
LocalContext.exit();
}
System.out.println("Javolution Concurrency: " + ConcurrentContext.getConcurrency());
multiplyMatrices(values);
System.out.println();
System.out.println("More performance analysis in future versions...");
}
private static void multiplyMatrices(double[][] values) {
int size = values.length;
System.out.print("Non-parameterized matrix (double based)"
+ " 500x500 multiplication: ");
for (int i = 0; i < size; i++) {
for (int j = 0; j < size; j++) {
values[i][j] = MathLib.random();
}
}
MatrixDouble PM = new MatrixDouble(values);
for (int i=0; i < 5; i++) PM.times(PM); // Warming up.
startTime();
MatrixDouble R1 = PM.times(PM);
endTime(1);
System.out.print("Matrix 500x500 multiplication: ");
Matrix FM = Float64Matrix.valueOf(values);
for (int i=0; i < 5; i++) FM.times(FM); // Warming up.
startTime();
Matrix R2 = FM.times(FM);
endTime(1);
// Checks results.
if (!R2.equals(Float64Matrix.valueOf(R1.o)))
throw new Error("Error in matrix multiplication");
System.out.print("Matrix 500x500 multiplication: ");
Complex[][] complexes = new Complex[size][size];
for (int i = 0; i < size; i++) {
for (int j = 0; j < size; j++) {
complexes[i][j] = Complex.valueOf(MathLib.random(), MathLib
.random());
}
}
Matrix CM = ComplexMatrix.valueOf(complexes);
for (int i=0; i < 5; i++) CM.times(CM); // Warming up.
startTime();
CM.times(CM);
endTime(1);
System.out.print("Matrix 500x500 multiplication: ");
Amount[][] measures = new Amount[size][size];
for (int i = 0; i < size; i++) {
for (int j = 0; j < size; j++) {
measures[i][j] = Amount.valueOf(
MathLib.random(Long.MIN_VALUE, Long.MAX_VALUE), Unit.ONE);
}
}
DenseMatrix> MM = DenseMatrix.valueOf(measures);
startTime();
MM.times(MM);
endTime(1);
}
private static final class MatrixDouble {
double[][] o;
int m; // Nbr of rows.
int n; // Nbr of columns.
MatrixDouble(double[][] elements) {
o = elements;
m = elements.length;
n = elements[0].length;
}
MatrixDouble times(MatrixDouble that) {
if (that.m != this.n)
throw new Error("Wrong dimensions");
MatrixDouble M = new MatrixDouble(new double[this.m][that.n]);
double[] thatColj = new double[n];
for (int j = 0; j < that.n; j++) {
for (int k = 0; k < n; k++) {
thatColj[k] = that.o[k][j];
}
for (int i = 0; i < m; i++) {
double[] thisRowi = o[i];
double s = 0;
for (int k = 0; k < n; k++) {
s += thisRowi[k]*thatColj[k];
}
M.o[i][j] = s;
}
}
return M;
}
}
private static void startTime() {
_time = System.nanoTime();
}
/**
* Ends measuring time and display the execution time per iteration.
*
* @param iterations
* the number iterations performed since {@link #startTime}.
*/
public static void endTime(int iterations) {
long nanoSeconds = System.nanoTime() - _time;
long picoDuration = nanoSeconds * 1000 / iterations;
long divisor;
String unit;
if (picoDuration > 1000 * 1000 * 1000 * 1000L) { // 1 s
unit = " s";
divisor = 1000 * 1000 * 1000 * 1000L;
} else if (picoDuration > 1000 * 1000 * 1000L) {
unit = " ms";
divisor = 1000 * 1000 * 1000L;
} else if (picoDuration > 1000 * 1000L) {
unit = " us";
divisor = 1000 * 1000L;
} else {
unit = " ns";
divisor = 1000L;
}
TextBuilder tb = TextBuilder.newInstance();
tb.append(picoDuration / divisor);
int fracDigits = 4 - tb.length(); // 4 digits precision.
tb.append(".");
for (int i = 0, j = 10; i < fracDigits; i++, j *= 10) {
tb.append((picoDuration * j / divisor) % 10);
}
System.out.println(tb.append(unit));
}
private static long _time;
}
Ads help maintain this website.