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/*
* Licensed to the Apache Software Foundation (ASF) under one or more
* contributor license agreements. See the NOTICE file distributed with
* this work for additional information regarding copyright ownership.
* The ASF licenses this file to You under the Apache License, Version 2.0
* (the "License"); you may not use this file except in compliance with
* the License. You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
package org.apache.commons.text.numbers;
/**
* Internal class representing a decimal value parsed into separate components. Each number
* is represented with
*
* - a boolean flag for the sign,
* - a sequence of the digits {@code 0 - 10} representing an unsigned integer with leading and trailing zeros
* removed, and
* - an exponent value that when applied to the base 10 digits produces a floating point value with the
* correct magnitude.
*
* Examples
*
* Double Negative Digits Exponent 0.0 false [0] 0 1.2 false [1, 2] -1 -0.00971 true [9, 7, 1] -5 56300 true [5, 6, 3] 2
*/
final class ParsedDecimal {
/**
* Interface containing values used during string formatting.
*/
interface FormatOptions {
/**
* Gets the decimal separator character.
* @return decimal separator character
*/
char getDecimalSeparator();
/**
* Gets an array containing the localized digit characters 0-9 in that order.
* This string must be non-null and have a length of 10.
* @return array containing the digit characters 0-9
*/
char[] getDigits();
/**
* Gets the exponent separator as an array of characters.
* @return exponent separator as an array of characters
*/
char[] getExponentSeparatorChars();
/**
* Gets the character used to separate thousands groupings.
* @return character used to separate thousands groupings
*/
char getGroupingSeparator();
/**
* Gets the minus sign character.
* @return minus sign character
*/
char getMinusSign();
/**
* Return {@code true} if exponent values should always be included in
* formatted output, even if the value is zero.
* @return {@code true} if exponent values should always be included
*/
boolean isAlwaysIncludeExponent();
/**
* Return {@code true} if thousands should be grouped.
* @return {@code true} if thousand should be grouped
*/
boolean isGroupThousands();
/**
* Return {@code true} if fraction placeholders (e.g., {@code ".0"} in {@code "1.0"})
* should be included.
* @return {@code true} if fraction placeholders should be included
*/
boolean isIncludeFractionPlaceholder();
/**
* Return {@code true} if the string zero should be prefixed with the minus sign
* for negative zero values.
* @return {@code true} if the minus zero string should be allowed
*/
boolean isSignedZero();
}
/** Minus sign character. */
private static final char MINUS_CHAR = '-';
/** Decimal separator character. */
private static final char DECIMAL_SEP_CHAR = '.';
/** Exponent character. */
private static final char EXPONENT_CHAR = 'E';
/** Zero digit character. */
private static final char ZERO_CHAR = '0';
/** Number of characters in thousands groupings. */
private static final int THOUSANDS_GROUP_SIZE = 3;
/** Radix for decimal numbers. */
private static final int DECIMAL_RADIX = 10;
/** Center value used when rounding. */
private static final int ROUND_CENTER = DECIMAL_RADIX / 2;
/** Number that exponents in engineering format must be a multiple of. */
private static final int ENG_EXPONENT_MOD = 3;
/**
* Gets the numeric value of the given digit character. No validation of the
* character type is performed.
* @param ch digit character
* @return numeric value of the digit character, ex: '1' = 1
*/
private static int digitValue(final char ch) {
return ch - ZERO_CHAR;
}
/**
* Constructs a new instance from the given double value.
* @param d double value
* @return a new instance containing the parsed components of the given double value
* @throws IllegalArgumentException if {@code d} is {@code NaN} or infinite
*/
public static ParsedDecimal from(final double d) {
if (!Double.isFinite(d)) {
throw new IllegalArgumentException("Double is not finite");
}
// Get the canonical string representation of the double value and parse
// it to extract the components of the decimal value. From the documentation
// of Double.toString() and the fact that d is finite, we are guaranteed the
// following:
// - the string will not be empty
// - it will contain exactly one decimal point character
// - all digit characters are in the ASCII range
final char[] strChars = Double.toString(d).toCharArray();
final boolean negative = strChars[0] == MINUS_CHAR;
final int digitStartIdx = negative ? 1 : 0;
final int[] digits = new int[strChars.length - digitStartIdx - 1];
boolean foundDecimalPoint = false;
int digitCount = 0;
int significantDigitCount = 0;
int decimalPos = 0;
int i;
for (i = digitStartIdx; i < strChars.length; ++i) {
final char ch = strChars[i];
if (ch == DECIMAL_SEP_CHAR) {
foundDecimalPoint = true;
decimalPos = digitCount;
} else if (ch == EXPONENT_CHAR) {
// no more mantissa digits
break;
} else if (ch != ZERO_CHAR || digitCount > 0) {
// this is either the first non-zero digit or one after it
final int val = digitValue(ch);
digits[digitCount++] = val;
if (val > 0) {
significantDigitCount = digitCount;
}
} else if (foundDecimalPoint) {
// leading zero in a fraction; adjust the decimal position
--decimalPos;
}
}
if (digitCount > 0) {
// determine the exponent
final int explicitExponent = i < strChars.length
? parseExponent(strChars, i + 1)
: 0;
final int exponent = explicitExponent + decimalPos - significantDigitCount;
return new ParsedDecimal(negative, digits, significantDigitCount, exponent);
}
// no non-zero digits, so value is zero
return new ParsedDecimal(negative, new int[] {0}, 1, 0);
}
/**
* Parses a double exponent value from {@code chars}, starting at the {@code start}
* index and continuing through the end of the array.
* @param chars character array to parse a double exponent value from
* @param start start index
* @return parsed exponent value
*/
private static int parseExponent(final char[] chars, final int start) {
int i = start;
final boolean neg = chars[i] == MINUS_CHAR;
if (neg) {
++i;
}
int exp = 0;
for (; i < chars.length; ++i) {
exp = exp * DECIMAL_RADIX + digitValue(chars[i]);
}
return neg ? -exp : exp;
}
/** True if the value is negative. */
final boolean negative;
/** Array containing the significant decimal digits for the value. */
final int[] digits;
/** Number of digits used in the digits array; not necessarily equal to the length. */
int digitCount;
/** Exponent for the value. */
int exponent;
/** Output buffer for use in creating string representations. */
private char[] outputChars;
/** Output buffer index. */
private int outputIdx;
/**
* Constructs a new instance from its parts.
* @param negative {@code true} if the value is negative
* @param digits array containing significant digits
* @param digitCount number of digits used from the {@code digits} array
* @param exponent exponent value
*/
private ParsedDecimal(final boolean negative, final int[] digits, final int digitCount,
final int exponent) {
this.negative = negative;
this.digits = digits;
this.digitCount = digitCount;
this.exponent = exponent;
}
/**
* Appends the given character to the output buffer.
* @param ch character to append
*/
private void append(final char ch) {
outputChars[outputIdx++] = ch;
}
/**
* Appends the given character array directly to the output buffer.
* @param chars characters to append
*/
private void append(final char[] chars) {
for (final char c : chars) {
append(c);
}
}
/**
* Appends the fractional component of the number to the current output buffer.
* @param zeroCount number of zeros to add after the decimal point and before the
* first significant digit
* @param startIdx significant digit start index
* @param opts format options
*/
private void appendFraction(final int zeroCount, final int startIdx, final FormatOptions opts) {
final char[] localizedDigits = opts.getDigits();
final char localizedZero = localizedDigits[0];
if (startIdx < digitCount) {
append(opts.getDecimalSeparator());
// add the zero prefix
for (int i = 0; i < zeroCount; ++i) {
append(localizedZero);
}
// add the fraction digits
for (int i = startIdx; i < digitCount; ++i) {
appendLocalizedDigit(digits[i], localizedDigits);
}
} else if (opts.isIncludeFractionPlaceholder()) {
append(opts.getDecimalSeparator());
append(localizedZero);
}
}
/**
* Appends the localized representation of the digit {@code n} to the output buffer.
* @param n digit to append
* @param digitChars character array containing localized versions of the digits {@code 0-9}
* in that order
*/
private void appendLocalizedDigit(final int n, final char[] digitChars) {
append(digitChars[n]);
}
/**
* Appends the whole number portion of this value to the output buffer. No thousands
* separators are added.
* @param wholeCount total number of digits required to the left of the decimal point
* @param opts format options
* @return number of digits from {@code digits} appended to the output buffer
* @see #appendWholeGrouped(int, FormatOptions)
*/
private int appendWhole(final int wholeCount, final FormatOptions opts) {
if (shouldIncludeMinus(opts)) {
append(opts.getMinusSign());
}
final char[] localizedDigits = opts.getDigits();
final char localizedZero = localizedDigits[0];
final int significantDigitCount = Math.max(0, Math.min(wholeCount, digitCount));
if (significantDigitCount > 0) {
int i;
for (i = 0; i < significantDigitCount; ++i) {
appendLocalizedDigit(digits[i], localizedDigits);
}
for (; i < wholeCount; ++i) {
append(localizedZero);
}
} else {
append(localizedZero);
}
return significantDigitCount;
}
/**
* Appends the whole number portion of this value to the output buffer, adding thousands
* separators as needed.
* @param wholeCount total number of digits required to the right of the decimal point
* @param opts format options
* @return number of digits from {@code digits} appended to the output buffer
* @see #appendWhole(int, FormatOptions)
*/
private int appendWholeGrouped(final int wholeCount, final FormatOptions opts) {
if (shouldIncludeMinus(opts)) {
append(opts.getMinusSign());
}
final char[] localizedDigits = opts.getDigits();
final char localizedZero = localizedDigits[0];
final char groupingChar = opts.getGroupingSeparator();
final int appendCount = Math.max(0, Math.min(wholeCount, digitCount));
if (appendCount > 0) {
int i;
int pos = wholeCount;
for (i = 0; i < appendCount; ++i, --pos) {
appendLocalizedDigit(digits[i], localizedDigits);
if (requiresGroupingSeparatorAfterPosition(pos)) {
append(groupingChar);
}
}
for (; i < wholeCount; ++i, --pos) {
append(localizedZero);
if (requiresGroupingSeparatorAfterPosition(pos)) {
append(groupingChar);
}
}
} else {
append(localizedZero);
}
return appendCount;
}
/**
* Gets the number of characters required for the digit portion of a string representation of
* this value. This excludes any exponent or thousands groupings characters.
* @param decimalPos decimal point position relative to the {@code digits} array
* @param opts format options
* @return number of characters required for the digit portion of a string representation of
* this value
*/
private int getDigitStringSize(final int decimalPos, final FormatOptions opts) {
int size = digitCount;
if (shouldIncludeMinus(opts)) {
++size;
}
if (decimalPos < 1) {
// no whole component;
// add decimal point and leading zeros
size += 2 + Math.abs(decimalPos);
} else if (decimalPos >= digitCount) {
// no fraction component;
// add trailing zeros
size += decimalPos - digitCount;
if (opts.isIncludeFractionPlaceholder()) {
size += 2;
}
} else {
// whole and fraction components;
// add decimal point
size += 1;
}
return size;
}
/**
* Gets the exponent value. This exponent produces a floating point value with the
* correct magnitude when applied to the internal unsigned integer.
* @return exponent value
*/
public int getExponent() {
return exponent;
}
/**
* Gets the number of characters required to create a plain format representation
* of this value.
* @param decimalPos decimal position relative to the {@code digits} array
* @param opts format options
* @return number of characters in the plain string representation of this value,
* created using the given parameters
*/
private int getPlainStringSize(final int decimalPos, final FormatOptions opts) {
int size = getDigitStringSize(decimalPos, opts);
// adjust for groupings if needed
if (opts.isGroupThousands() && decimalPos > 0) {
size += (decimalPos - 1) / THOUSANDS_GROUP_SIZE;
}
return size;
}
/**
* Gets the exponent that would be used when representing this number in scientific
* notation (i.e., with a single non-zero digit in front of the decimal point).
* @return the exponent that would be used when representing this number in scientific
* notation
*/
public int getScientificExponent() {
return digitCount + exponent - 1;
}
/**
* Tests {@code true} if this value is equal to zero. The sign field is ignored,
* meaning that this method will return {@code true} for both {@code +0} and {@code -0}.
* @return {@code true} if the value is equal to zero
*/
boolean isZero() {
return digits[0] == 0;
}
/**
* Ensures that this instance has at most the given number of significant digits
* (i.e. precision). If this instance already has a precision less than or equal
* to the argument, nothing is done. If the given precision requires a reduction in the number
* of digits, then the value is rounded using {@link java.math.RoundingMode#HALF_EVEN half-even rounding}.
* @param precision maximum number of significant digits to include
*/
public void maxPrecision(final int precision) {
if (precision > 0 && precision < digitCount) {
if (shouldRoundUp(precision)) {
roundUp(precision);
} else {
truncate(precision);
}
}
}
/**
* Gets the output buffer as a string.
* @return output buffer as a string
*/
private String outputString() {
final String str = String.valueOf(outputChars);
outputChars = null;
return str;
}
/**
* Prepares the output buffer for a string of the given size.
* @param size buffer size
*/
private void prepareOutput(final int size) {
outputChars = new char[size];
outputIdx = 0;
}
/**
* Returns {@code true} if a grouping separator should be added after the whole digit
* character at the given position.
* @param pos whole digit character position, with values starting at 1 and increasing
* from right to left.
* @return {@code true} if a grouping separator should be added
*/
private boolean requiresGroupingSeparatorAfterPosition(final int pos) {
return pos > 1 && pos % THOUSANDS_GROUP_SIZE == 1;
}
/**
* Rounds the instance to the given decimal exponent position using
* {@link java.math.RoundingMode#HALF_EVEN half-even rounding}. For example, a value of {@code -2}
* will round the instance to the digit at the position 10-2 (i.e. to the closest multiple of 0.01).
* @param roundExponent exponent defining the decimal place to round to
*/
public void round(final int roundExponent) {
if (roundExponent > exponent) {
final int max = digitCount + exponent;
if (roundExponent < max) {
// rounding to a decimal place less than the max; set max precision
maxPrecision(max - roundExponent);
} else if (roundExponent == max && shouldRoundUp(0)) {
// rounding up directly on the max decimal place
setSingleDigitValue(1, roundExponent);
} else {
// change to zero
setSingleDigitValue(0, 0);
}
}
}
/**
* Rounds the value up to the given number of digits.
* @param count target number of digits; must be greater than zero and
* less than the current number of digits
*/
private void roundUp(final int count) {
int removedDigits = digitCount - count;
int i;
for (i = count - 1; i >= 0; --i) {
final int d = digits[i] + 1;
if (d < DECIMAL_RADIX) {
// value did not carry over; done adding
digits[i] = d;
break;
}
// value carried over; the current position is 0
// which we will ignore by shortening the digit count
++removedDigits;
}
if (i < 0) {
// all values carried over
setSingleDigitValue(1, exponent + removedDigits);
} else {
// values were updated in-place; just need to update the length
truncate(digitCount - removedDigits);
}
}
/**
* Sets the value of this instance to a single digit with the given exponent.
* The sign of the value is retained.
* @param digit digit value
* @param newExponent new exponent value
*/
private void setSingleDigitValue(final int digit, final int newExponent) {
digits[0] = digit;
digitCount = 1;
exponent = newExponent;
}
/**
* Returns {@code true} if a formatted string with the given target exponent should include
* the exponent field.
* @param targetExponent exponent of the formatted result
* @param opts format options
* @return {@code true} if the formatted string should include the exponent field
*/
private boolean shouldIncludeExponent(final int targetExponent, final FormatOptions opts) {
return targetExponent != 0 || opts.isAlwaysIncludeExponent();
}
/**
* Returns {@code true} if formatted strings should include the minus sign, considering
* the value of this instance and the given format options.
* @param opts format options
* @return {@code true} if a minus sign should be included in the output
*/
private boolean shouldIncludeMinus(final FormatOptions opts) {
return negative && (opts.isSignedZero() || !isZero());
}
/**
* Returns {@code true} if a rounding operation for the given number of digits should
* round up.
* @param count number of digits to round to; must be greater than zero and less
* than the current number of digits
* @return {@code true} if a rounding operation for the given number of digits should
* round up
*/
private boolean shouldRoundUp(final int count) {
// Round up in the following cases:
// 1. The digit after the last digit is greater than 5.
// 2. The digit after the last digit is 5 and there are additional (non-zero)
// digits after it.
// 3. The digit after the last digit is 5, there are no additional digits afterward,
// and the last digit is odd (half-even rounding).
final int digitAfterLast = digits[count];
return digitAfterLast > ROUND_CENTER || digitAfterLast == ROUND_CENTER
&& (count < digitCount - 1 || digits[count - 1] % 2 != 0);
}
/**
* Returns a string representation of this value in engineering notation. This is similar to {@link #toScientificString(FormatOptions) scientific notation}
* but with the exponent forced to be a multiple of 3, allowing easier alignment with SI prefixes.
*
* For example:
*
*
*
* 0 = "0.0"
* 10 = "10.0"
* 1e-6 = "1.0E-6"
* 1e11 = "100.0E9"
*
*
* @param opts format options
* @return value in engineering format
*/
public String toEngineeringString(final FormatOptions opts) {
final int decimalPos = 1 + Math.floorMod(getScientificExponent(), ENG_EXPONENT_MOD);
return toScientificString(decimalPos, opts);
}
/**
* Returns a string representation of this value with no exponent field.
*
* For example:
*
*
*
* 10 = "10.0"
* 1e-6 = "0.000001"
* 1e11 = "100000000000.0"
*
*
* @param opts format options
* @return value in plain format
*/
public String toPlainString(final FormatOptions opts) {
final int decimalPos = digitCount + exponent;
final int fractionZeroCount = decimalPos < 1
? Math.abs(decimalPos)
: 0;
prepareOutput(getPlainStringSize(decimalPos, opts));
final int fractionStartIdx = opts.isGroupThousands()
? appendWholeGrouped(decimalPos, opts)
: appendWhole(decimalPos, opts);
appendFraction(fractionZeroCount, fractionStartIdx, opts);
return outputString();
}
/**
* Returns a string representation of this value in scientific notation.
*
* For example:
*
*
*
* 0 = "0.0"
* 10 = "1.0E1"
* 1e-6 = "1.0E-6"
* 1e11 = "1.0E11"
*
*
* @param opts format options
* @return value in scientific format
*/
public String toScientificString(final FormatOptions opts) {
return toScientificString(1, opts);
}
/**
* Returns a string representation of the value in scientific notation using the
* given decimal point position.
* @param decimalPos decimal position relative to the {@code digits} array; this value
* is expected to be greater than 0
* @param opts format options
* @return value in scientific format
*/
private String toScientificString(final int decimalPos, final FormatOptions opts) {
final int targetExponent = digitCount + exponent - decimalPos;
final int absTargetExponent = Math.abs(targetExponent);
final boolean includeExponent = shouldIncludeExponent(targetExponent, opts);
final boolean negativeExponent = targetExponent < 0;
// determine the size of the full formatted string, including the number of
// characters needed for the exponent digits
int size = getDigitStringSize(decimalPos, opts);
int exponentDigitCount = 0;
if (includeExponent) {
exponentDigitCount = absTargetExponent > 0
? (int) Math.floor(Math.log10(absTargetExponent)) + 1
: 1;
size += opts.getExponentSeparatorChars().length + exponentDigitCount;
if (negativeExponent) {
++size;
}
}
prepareOutput(size);
// append the portion before the exponent field
final int fractionStartIdx = appendWhole(decimalPos, opts);
appendFraction(0, fractionStartIdx, opts);
if (includeExponent) {
// append the exponent field
append(opts.getExponentSeparatorChars());
if (negativeExponent) {
append(opts.getMinusSign());
}
// append the exponent digits themselves; compute the
// string representation directly and add it to the output
// buffer to avoid the overhead of Integer.toString()
final char[] localizedDigits = opts.getDigits();
int rem = absTargetExponent;
for (int i = size - 1; i >= outputIdx; --i) {
outputChars[i] = localizedDigits[rem % DECIMAL_RADIX];
rem /= DECIMAL_RADIX;
}
outputIdx = size;
}
return outputString();
}
/**
* Truncates the value to the given number of digits.
* @param count number of digits; must be greater than zero and less than
* the current number of digits
*/
private void truncate(final int count) {
// trim all trailing zero digits, making sure to leave
// at least one digit left
int nonZeroCount = count;
for (int i = count - 1;
i > 0 && digits[i] == 0;
--i) {
--nonZeroCount;
}
exponent += digitCount - nonZeroCount;
digitCount = nonZeroCount;
}
}
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