Number formatting
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64a58c2047
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@ -9,6 +9,7 @@ import jscl.math.operator.Percent;
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import jscl.math.operator.Rand;
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import jscl.math.operator.matrix.OperatorsRegistry;
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import jscl.text.ParseException;
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import midpcalc.Real;
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import org.solovyev.common.NumberFormatter;
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import org.solovyev.common.math.MathRegistry;
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import org.solovyev.common.msg.MessageRegistry;
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@ -19,6 +20,8 @@ import javax.annotation.Nullable;
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import java.math.BigDecimal;
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import java.util.List;
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import static midpcalc.Real.NumberFormat.*;
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public class JsclMathEngine implements MathEngine {
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public static final AngleUnit DEFAULT_ANGLE_UNITS = AngleUnit.deg;
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@ -38,7 +41,7 @@ public class JsclMathEngine implements MathEngine {
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};
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private char groupingSeparator = GROUPING_SEPARATOR_DEFAULT;
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private boolean roundResult = false;
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private boolean scienceNotation = false;
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private int numberFormat = FSE_NONE;
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private int precision = 5;
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private boolean useGroupingSeparator = false;
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@Nonnull
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@ -166,11 +169,17 @@ public class JsclMathEngine implements MathEngine {
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}
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final NumberFormatter nf = numberFormatter.get();
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nf.setGroupingSeparator(useGroupingSeparator ? groupingSeparator : NumberFormatter.NO_GROUPING);
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nf.setPrecision(roundResult ? precision : NumberFormatter.DEFAULT_PRECISION);
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if (scienceNotation) {
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nf.useEngineeringFormat(NumberFormatter.DEFAULT_MAGNITUDE);
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} else {
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nf.useSimpleFormat();
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nf.setPrecision(roundResult ? precision : NumberFormatter.NO_ROUNDING);
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switch (numberFormat) {
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case Real.NumberFormat.FSE_ENG:
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nf.useEngineeringFormat(NumberFormatter.DEFAULT_MAGNITUDE);
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break;
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case FSE_SCI:
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nf.useScientificFormat(NumberFormatter.DEFAULT_MAGNITUDE);
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break;
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default:
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nf.useSimpleFormat();
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break;
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}
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return nf.format(value, nb.radix).toString();
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}
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@ -307,7 +316,14 @@ public class JsclMathEngine implements MathEngine {
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}
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public void setScienceNotation(boolean scienceNotation) {
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this.scienceNotation = scienceNotation;
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setNumberFormat(scienceNotation ? FSE_SCI : FSE_NONE);
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}
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public void setNumberFormat(int numberFormat) {
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if (numberFormat != FSE_SCI && numberFormat != FSE_ENG && numberFormat != FSE_NONE) {
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throw new IllegalArgumentException("Unsupported format: " + numberFormat);
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}
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this.numberFormat = numberFormat;
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}
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public char getGroupingSeparator() {
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@ -5,21 +5,28 @@ import midpcalc.Real;
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import javax.annotation.Nonnull;
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import java.math.BigDecimal;
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import static java.lang.Math.pow;
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import static midpcalc.Real.NumberFormat.*;
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public class NumberFormatter {
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public static final int NO_GROUPING = 0;
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public static final int DEFAULT_PRECISION = 16;
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public static final int NO_ROUNDING = -1;
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public static final int DEFAULT_MAGNITUDE = 5;
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public static final int MAX_PRECISION = 16;
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private final Real.NumberFormat numberFormat = new Real.NumberFormat();
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private final Real real = new Real();
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private int format = FSE_NONE;
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private int simpleFormatMagnitude = DEFAULT_MAGNITUDE;
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private int precision = DEFAULT_PRECISION;
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private int precision = MAX_PRECISION;
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private char groupingSeparator;
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public void useScientificFormat(int simpleFormatMagnitude) {
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this.format = FSE_SCI;
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this.simpleFormatMagnitude = simpleFormatMagnitude;
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}
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public void useEngineeringFormat(int simpleFormatMagnitude) {
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this.format = FSE_ENG;
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this.simpleFormatMagnitude = simpleFormatMagnitude;
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@ -49,19 +56,27 @@ public class NumberFormatter {
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throw new IllegalArgumentException("Unsupported radix: " + radix);
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}
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double absValue = Math.abs(value);
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final boolean dec = radix == 10;
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final boolean fixedFormat = !dec || format == FSE_NONE || Math.pow(10, -simpleFormatMagnitude) <= absValue && absValue < Math.pow(10, simpleFormatMagnitude);
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final boolean simpleFormat = useSimpleFormat(radix, absValue);
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if (fixedFormat) {
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final int newScale = (int) (precision * Math.max(1, radix / 10f));
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final int effectivePrecision = precision == NO_ROUNDING ? MAX_PRECISION : precision;
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if (simpleFormat) {
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final int newScale = (int) (effectivePrecision * Math.max(1, radix / 10f));
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value = BigDecimal.valueOf(value).setScale(newScale, BigDecimal.ROUND_HALF_UP).doubleValue();
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absValue = Math.abs(value);
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}
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numberFormat.fse = fixedFormat ? FSE_FIX : FSE_ENG;
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if (simpleFormat) {
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numberFormat.fse = FSE_FIX;
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} else if (format == FSE_NONE) {
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// originally, a simple format was requested but we have to use something more appropriate, f.e. scientific
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// format
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numberFormat.fse = FSE_SCI;
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} else {
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numberFormat.fse = format;
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}
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numberFormat.thousand = groupingSeparator;
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numberFormat.precision = precision;
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numberFormat.precision = effectivePrecision;
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numberFormat.base = radix;
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numberFormat.maxwidth = fixedFormat ? 100 : 30;
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numberFormat.maxwidth = simpleFormat ? 100 : 30;
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if (radix == 2 && value < 0) {
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return "-" + prepare(absValue);
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@ -69,6 +84,23 @@ public class NumberFormatter {
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return prepare(value);
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}
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private boolean useSimpleFormat(int radix, double absValue) {
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if (radix != 10) {
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return true;
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}
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if (absValue < pow(10, -MAX_PRECISION)) {
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// should never use simple format for small numbers
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return false;
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}
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if (format == FSE_NONE) {
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return true;
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}
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if (pow(10, -simpleFormatMagnitude) <= absValue && absValue < pow(10, simpleFormatMagnitude)) {
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return true;
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}
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return false;
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}
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@Nonnull
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private CharSequence prepare(double value) {
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return stripZeros(realFormat(value)).replace('e', 'E');
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@ -1,5 +1,6 @@
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package jscl;
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import midpcalc.Real;
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import org.junit.Test;
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import static org.junit.Assert.assertEquals;
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@ -85,7 +86,7 @@ public class JsclMathEngineTest {
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@Test
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public void testEngineeringNotationWithRounding() throws Exception {
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final JsclMathEngine me = JsclMathEngine.getInstance();
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me.setScienceNotation(true);
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me.setNumberFormat(Real.NumberFormat.FSE_ENG);
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me.setRoundResult(true);
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me.setPrecision(5);
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@ -141,7 +142,7 @@ public class JsclMathEngineTest {
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@Test
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public void testEngineeringNotationWithoutRounding() throws Exception {
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final JsclMathEngine me = JsclMathEngine.getInstance();
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me.setScienceNotation(true);
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me.setNumberFormat(Real.NumberFormat.FSE_ENG);
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me.setRoundResult(false);
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assertEquals("10E6", me.format(10000000d));
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@ -3,7 +3,10 @@ package org.solovyev.common;
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import org.junit.Before;
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import org.junit.Test;
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import static java.lang.Math.pow;
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import static org.junit.Assert.assertEquals;
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import static org.solovyev.common.NumberFormatter.DEFAULT_MAGNITUDE;
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import static org.solovyev.common.NumberFormatter.NO_ROUNDING;
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public class NumberFormatterTest {
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@ -25,12 +28,109 @@ public class NumberFormatterTest {
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}
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@Test
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public void testSimpleFormat() throws Exception {
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public void testScientificFormatNoRounding() throws Exception {
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numberFormatter.useScientificFormat(DEFAULT_MAGNITUDE);
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numberFormatter.setPrecision(NO_ROUNDING);
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assertEquals("1", numberFormatter.format(1d));
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assertEquals("0.3333333333333333", numberFormatter.format(1d / 3));
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assertEquals("3.333333333333333E-19", numberFormatter.format(pow(10, -18) / 3));
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assertEquals("1.23456789E18", numberFormatter.format(123456789 * pow(10, 10)));
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assertEquals("1E-16", numberFormatter.format(pow(10, -16)));
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assertEquals("5.9999999999999949E18", numberFormatter.format(5999999999999994999d));
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testScientificFormat();
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}
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@Test
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public void testScientificFormatWithRounding() throws Exception {
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numberFormatter.useScientificFormat(DEFAULT_MAGNITUDE);
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numberFormatter.setPrecision(5);
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assertEquals("1", numberFormatter.format(1d));
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assertEquals("0.33333", numberFormatter.format(1d / 3));
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assertEquals("3.33333E-19", numberFormatter.format(pow(10, -18) / 3));
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assertEquals("1.23457E18", numberFormatter.format(123456789 * pow(10, 10)));
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assertEquals("1E-16", numberFormatter.format(pow(10, -16)));
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assertEquals("6E18", numberFormatter.format(5999999999999994999d));
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testScientificFormat();
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}
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@Test
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public void testSimpleFormatNoRounding() throws Exception {
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numberFormatter.useSimpleFormat();
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numberFormatter.setPrecision(NO_ROUNDING);
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assertEquals("1", numberFormatter.format(1d));
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assertEquals("0.000001", numberFormatter.format(pow(10, -6)));
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assertEquals("0.3333333333333333", numberFormatter.format(1d / 3));
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assertEquals("3.333333333333333E-19", numberFormatter.format(pow(10, -18) / 3));
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assertEquals("1234567890000000000", numberFormatter.format(123456789 * pow(10, 10)));
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assertEquals("0.0000000000000001", numberFormatter.format(pow(10, -16)));
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testSimpleFormat();
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}
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@Test
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public void testSimpleFormatWithRounding() throws Exception {
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numberFormatter.useSimpleFormat();
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numberFormatter.setPrecision(5);
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assertEquals("1", numberFormatter.format(1d));
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assertEquals("0", numberFormatter.format(pow(10, -6)));
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assertEquals("0.33333", numberFormatter.format(1d / 3));
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assertEquals("3.33333E-19", numberFormatter.format(pow(10, -18) / 3));
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assertEquals("1234567890000000000", numberFormatter.format(123456789 * pow(10, 10)));
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assertEquals("0", numberFormatter.format(pow(10, -16)));
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testSimpleFormat();
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}
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// testing simple format with and without rounding
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private void testSimpleFormat() {
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assertEquals("0.00001", numberFormatter.format(pow(10, -5)));
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assertEquals("100", numberFormatter.format(pow(10, 2)));
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assertEquals("1000000000000000000", numberFormatter.format(pow(10, 18)));
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assertEquals("1E19", numberFormatter.format(pow(10, 19)));
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assertEquals("1E20", numberFormatter.format(pow(10, 20)));
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assertEquals("1E100", numberFormatter.format(pow(10, 100)));
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assertEquals("0.01", numberFormatter.format(pow(10, -2)));
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assertEquals("1E-17", numberFormatter.format(pow(10, -17)));
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assertEquals("1E-18", numberFormatter.format(pow(10, -18)));
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assertEquals("1.5E-18", numberFormatter.format(1.5 * pow(10, -18)));
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assertEquals("1E-100", numberFormatter.format(pow(10, -100)));
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assertEquals("5000000000000000000", numberFormatter.format(5000000000000000000d));
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assertEquals("5000000000000000000", numberFormatter.format(5000000000000000001d));
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assertEquals("5999999999999994900", numberFormatter.format(5999999999999994999d));
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assertEquals("5E19", numberFormatter.format(50000000000000000000d));
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assertEquals("5E40", numberFormatter.format(50000000000000000000000000000000000000000d));
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}
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// testing scientific format with and without rounding
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private void testScientificFormat() {
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assertEquals("0.00001", numberFormatter.format(pow(10, -5)));
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assertEquals("1E-6", numberFormatter.format(pow(10, -6)));
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assertEquals("100", numberFormatter.format(pow(10, 2)));
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assertEquals("10000", numberFormatter.format(pow(10, 4)));
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assertEquals("1E5", numberFormatter.format(pow(10, 5)));
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assertEquals("1E18", numberFormatter.format(pow(10, 18)));
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assertEquals("1E19", numberFormatter.format(pow(10, 19)));
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assertEquals("1E20", numberFormatter.format(pow(10, 20)));
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assertEquals("1E100", numberFormatter.format(pow(10, 100)));
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assertEquals("0.01", numberFormatter.format(pow(10, -2)));
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assertEquals("1E-17", numberFormatter.format(pow(10, -17)));
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assertEquals("1E-18", numberFormatter.format(pow(10, -18)));
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assertEquals("1.5E-18", numberFormatter.format(1.5 * pow(10, -18)));
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assertEquals("1E-100", numberFormatter.format(pow(10, -100)));
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assertEquals("5E18", numberFormatter.format(5000000000000000000d));
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assertEquals("5E18", numberFormatter.format(5000000000000000001d));
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assertEquals("5E19", numberFormatter.format(50000000000000000000d));
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assertEquals("5E40", numberFormatter.format(50000000000000000000000000000000000000000d));
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}
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}
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