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digitlst.cpp

/*
**********************************************************************
*   Copyright (C) 1997-2001, International Business Machines
*   Corporation and others.  All Rights Reserved.
**********************************************************************
*
* File DIGITLST.CPP
*
* Modification History:
*
*   Date        Name        Description
*   03/21/97    clhuang     Converted from java.
*   03/21/97    clhuang     Implemented with new APIs.
*   03/27/97    helena      Updated to pass the simple test after code review.
*   03/31/97    aliu        Moved isLONG_MIN to here, and fixed it.
*   04/15/97    aliu        Changed MAX_COUNT to DBL_DIG.  Changed Digit to char.
*                           Reworked representation by replacing fDecimalAt
*                           with fExponent.
*   04/16/97    aliu        Rewrote set() and getDouble() to use sprintf/atof
*                           to do digit conversion.
*   09/09/97    aliu        Modified for exponential notation support.
*   08/02/98    stephen     Added nearest/even rounding
*                            Fixed bug in fitsIntoLong
******************************************************************************
*/

#include "digitlst.h"
#include <stdlib.h>
#include <limits.h>
#include <string.h>
#include <stdio.h>
#include "unicode/putil.h"

// ***************************************************************************
// class DigitList
// This class handles the transcoding between numeric values and strings of
//  characters.  Only handles as non-negative numbers.  
// ***************************************************************************

/**
 * This is the zero digit.  Array elements fDigits[i] have values from
 * kZero to kZero + 9.  Typically, this is '0'.
 */
#define kZero '0'

static char gDecimal = 0;

/* Only for 32 bit numbers. Ignore the negative sign. */
static const char LONG_MIN_REP[] = "2147483648";

enum {
    LONG_MIN_REP_LENGTH = sizeof(LONG_MIN_REP) - 1 //Ignore the NULL at the end
};

U_NAMESPACE_BEGIN

// -------------------------------------
// default constructor

DigitList::DigitList()
{
    clear();
}

// -------------------------------------

DigitList::~DigitList()
{
}

// -------------------------------------
// copy constructor

DigitList::DigitList(const DigitList &other)
{
    fDigits = fDecimalDigits + 1;   // skip the decimal
    *this = other;
}

// -------------------------------------
// assignment operator

DigitList&
DigitList::operator=(const DigitList& other)
{
    if (this != &other)
    {
        fDecimalAt = other.fDecimalAt;
        fCount = other.fCount;
        fIsPositive = other.fIsPositive;
        strncpy(fDigits, other.fDigits, MAX_DIGITS);
    }
    return *this;
}

// -------------------------------------

UBool
00099 DigitList::operator==(const DigitList& that) const
{
    return ((this == &that) ||
            (fDecimalAt == that.fDecimalAt &&
             fCount == that.fCount &&
             fIsPositive == that.fIsPositive &&
             strncmp(fDigits, that.fDigits, fCount) == 0));
}

// -------------------------------------
// Resets the digit list; sets all the digits to zero.

void
00112 DigitList::clear()
{
    fDigits = fDecimalDigits + 1;   // skip the decimal
    fDecimalAt = 0;
    fCount = 0;
    fIsPositive = TRUE;

    // Don't bother initializing fDigits because fCount is 0.
}



// -------------------------------------

/**
 * Formats a number into a base 10 string representation, and NULL terminates it.
 * @param number The number to format
 * @param outputStr The string to output to
 * @param outputLen The maximum number of characters to put into outputStr
 *                  (including NULL).
 * @return the number of digits written, not including the sign.
 */
static int32_t
formatBase10(int32_t number, char *outputStr, int32_t outputLen) 
{
    char buffer[MAX_DIGITS + 1];
    int32_t bufferLen;

    if (outputLen > MAX_DIGITS) {
        outputLen = MAX_DIGITS;     // Ignore NULL
    }
    else if (outputLen < 3) {
        return 0;                   // Not enough room
    }

    bufferLen = outputLen;

    if (number < 0) {   // Negative numbers are slightly larger than a postive
        buffer[bufferLen--] = (char)(-(number % 10) + kZero);
        number /= -10;
        *(outputStr++) = '-';
    }
    else {
        *(outputStr++) = '+';    // allow +0
    }
    while (bufferLen >= 0 && number) {      // Output the number
        buffer[bufferLen--] = (char)(number % 10 + kZero);
        number /= 10;
    }

    outputLen -= bufferLen++;

    while (bufferLen <= MAX_DIGITS) {     // Copy the number to output
        *(outputStr++) = buffer[bufferLen++];
    }
    *outputStr = 0;   // NULL terminate.
    return outputLen;
}

/**
 * Currently, getDouble() depends on atof() to do its conversion.
 *
 * WARNING!!
 * This is an extremely costly function. ~1/2 of the conversion time
 * can be linked to this function.
 */
double
00179 DigitList::getDouble()
{
    double value;

    if (fCount == 0) {
        value = 0.0;
    }
    else {
        if (!gDecimal) {
            char rep[MAX_DIGITS];
            // For machines that decide to change the decimal on you,
            // and try to be too smart with localization.
            // This normally should be just a '.'.
            sprintf(rep, "%+1.1f", 1.0);
            gDecimal = rep[2];
        }

        *fDecimalDigits = gDecimal;
        *(fDigits+fCount) = 'e';    // add an e after the digits.
        formatBase10(fDecimalAt,
                     fDigits + fCount + 1,  // skip the 'e'
                     MAX_DEC_DIGITS - fCount - 3);  // skip the 'e' and '.'
        value = atof(fDecimalDigits);
    }

    return fIsPositive ? value : -value;
}

// -------------------------------------

/**
 * Make sure that fitsIntoLong() is called before calling this function.
 */
00212 int32_t DigitList::getLong()
{
    if (fCount == fDecimalAt) {
        int32_t value;

        fDigits[fCount] = 0;    // NULL terminate

        // This conversion is bad on 64-bit platforms when we want to
        // be able to return a 64-bit number [grhoten]
        *fDecimalDigits = fIsPositive ? '+' : '-';
        value = (int32_t)atol(fDecimalDigits);
        return value;
    }
    else {
        // This is 100% accurate in c++ because if we are representing
        // an integral value, we suffer nothing in the conversion to
        // double.  If we are to support 64-bit longs later, getLong()
        // must be rewritten. [LIU]
        return (int32_t)getDouble();
    }
}

/**
 * Return true if the number represented by this object can fit into
 * a long.
 */
UBool
00239 DigitList::fitsIntoLong(UBool ignoreNegativeZero)
{
    // Figure out if the result will fit in a long.  We have to
    // first look for nonzero digits after the decimal point;
    // then check the size.  If the digit count is 18 or less, then
    // the value can definitely be represented as a long.  If it is 19
    // then it may be too large.

    // Trim trailing zeros after the decimal point. This does not change
    // the represented value.
    while (fCount > fDecimalAt && fCount > 0 && fDigits[fCount - 1] == kZero)
        --fCount;

    if (fCount == 0) {
        // Positive zero fits into a long, but negative zero can only
        // be represented as a double. - bug 4162852
        return fIsPositive || ignoreNegativeZero;
    }

//    initializeLONG_MIN_REP();

    // If the digit list represents a double or this number is too
    // big for a long.
    if (fDecimalAt < fCount || fDecimalAt > LONG_MIN_REP_LENGTH)
        return FALSE;

    // If number is small enough to fit in a long
    if (fDecimalAt < LONG_MIN_REP_LENGTH)
        return TRUE;

    // At this point we have fDecimalAt == fCount, and fCount == LONG_MIN_REP_LENGTH.
    // The number will overflow if it is larger than LONG_MAX
    // or smaller than LONG_MIN.
    for (int32_t i=0; i<fCount; ++i)
    {
        char dig = fDigits[i],
             max = LONG_MIN_REP[i];
        if (dig > max)
            return FALSE;
        if (dig < max)
            return TRUE;
    }

    // At this point the first count digits match.  If fDecimalAt is less
    // than count, then the remaining digits are zero, and we return true.
    if (fCount < fDecimalAt)
        return TRUE;

    // Now we have a representation of Long.MIN_VALUE, without the leading
    // negative sign.  If this represents a positive value, then it does
    // not fit; otherwise it fits.
    return !fIsPositive;
}

// -------------------------------------

/**
 * @param maximumDigits The maximum digits to be generated.  If zero,
 * there is no maximum -- generate all digits.
 */
void
00300 DigitList::set(int32_t source, int32_t maximumDigits)
{
    fCount = fDecimalAt = formatBase10(source, fDecimalDigits, MAX_DIGITS);

    fIsPositive = (*fDecimalDigits == '+');
    
    // Don't copy trailing zeros
    while (fCount > 1 && fDigits[fCount - 1] == kZero) 
        --fCount;
    
    if(maximumDigits > 0) 
        round(maximumDigits);
}

/**
 * Set the digit list to a representation of the given double value.
 * This method supports both fixed-point and exponential notation.
 * @param source Value to be converted; must not be Inf, -Inf, Nan,
 * or a value <= 0.
 * @param maximumDigits The most fractional or total digits which should
 * be converted.  If total digits, and the value is zero, then
 * there is no maximum -- generate all digits.
 * @param fixedPoint If true, then maximumDigits is the maximum
 * fractional digits to be converted.  If false, total digits.
 */
void
00326 DigitList::set(double source, int32_t maximumDigits, UBool fixedPoint)
{
    // for now, simple implementation; later, do proper IEEE stuff
    char rep[MAX_DIGITS + 8]; // Extra space for '+', '.', e+NNN, and '\0' (actually +8 is enough)
    char *digitPtr      = fDigits;
    char *repPtr        = rep + 2;  // +2 to skip the sign and decimal
    int32_t exponent    = 0;

    fIsPositive = !uprv_isNegative(source);    // Allow +0 and -0

    // Generate a representation of the form /[+-][0-9]+e[+-][0-9]+/
    sprintf(rep, "%+1.*e", MAX_DIGITS - 1, source);
    fDecimalAt  = 0;
    rep[2]      = rep[1];    // remove decimal

    while (*repPtr == kZero) {
        repPtr++;
        fDecimalAt--;   // account for leading zeros
    }

    while (*repPtr != 'e') {
        *(digitPtr++) = *(repPtr++);
    }
    fCount = MAX_DIGITS + fDecimalAt;

    // Parse an exponent of the form /[eE][+-][0-9]+/
    UBool negExp = (*(++repPtr) == '-');
    while (*(++repPtr) != 0) {
        exponent = 10*exponent + *repPtr - kZero;
    }
    if (negExp) {
        exponent = -exponent;
    }
    fDecimalAt += exponent + 1; // +1 for decimal removal

    // The negative of the exponent represents the number of leading
    // zeros between the decimal and the first non-zero digit, for
    // a value < 0.1 (e.g., for 0.00123, -decimalAt == 2).  If this
    // is more than the maximum fraction digits, then we have an underflow
    // for the printed representation.
    if (fixedPoint && -fDecimalAt >= maximumDigits)
    {
        // If we round 0.0009 to 3 fractional digits, then we have to
        // create a new one digit in the least significant location.
        if (-fDecimalAt == maximumDigits && shouldRoundUp(0)) {
            fCount = 1;
            ++fDecimalAt;
            fDigits[0] = (char)'1';
        } else {
            // Handle an underflow to zero when we round something like
            // 0.0009 to 2 fractional digits.
            fCount = 0;
        }
        return;
    }


    // Eliminate digits beyond maximum digits to be displayed.
    // Round up if appropriate.  Do NOT round in the special
    // case where maximumDigits == 0 and fixedPoint is FALSE.
    if (fixedPoint || (0 < maximumDigits && maximumDigits < fCount)) {
        round(fixedPoint ? (maximumDigits + fDecimalAt) : maximumDigits);
    }
    else {
        // Eliminate trailing zeros.
        while (fCount > 1 && fDigits[fCount - 1] == kZero)
            --fCount;
    }
}

// -------------------------------------

/**
 * Round the representation to the given number of digits.
 * @param maximumDigits The maximum number of digits to be shown.
 * Upon return, count will be less than or equal to maximumDigits.
 */
void 
00404 DigitList::round(int32_t maximumDigits)
{
    // Eliminate digits beyond maximum digits to be displayed.
    // Round up if appropriate.
    if (maximumDigits >= 0 && maximumDigits < fCount)
    {
        if (shouldRoundUp(maximumDigits)) {
            // Rounding up involved incrementing digits from LSD to MSD.
            // In most cases this is simple, but in a worst case situation
            // (9999..99) we have to adjust the decimalAt value.
            while (--maximumDigits >= 0 && ++fDigits[maximumDigits] > '9')
                ;

            if (maximumDigits < 0)
            {
                // We have all 9's, so we increment to a single digit
                // of one and adjust the exponent.
                fDigits[0] = (char) '1';
                ++fDecimalAt;
                maximumDigits = 1; // Adjust the count
            }
            else
            {
                ++maximumDigits; // Increment for use as count
            }
        }
        fCount = maximumDigits;
    }

    // Eliminate trailing zeros.
    while (fCount > 1 && fDigits[fCount-1] == kZero) {
        --fCount;
    }
}

/**
 * Return true if truncating the representation to the given number
 * of digits will result in an increment to the last digit.  This
 * method implements half-even rounding, the default rounding mode.
 * [bnf]
 * @param maximumDigits the number of digits to keep, from 0 to
 * <code>count-1</code>.  If 0, then all digits are rounded away, and
 * this method returns true if a one should be generated (e.g., formatting
 * 0.09 with "#.#").
 * @return true if digit <code>maximumDigits-1</code> should be
 * incremented
 */
00451 UBool DigitList::shouldRoundUp(int32_t maximumDigits) {
    // Implement IEEE half-even rounding
    if (fDigits[maximumDigits] == '5' ) {
        for (int i=maximumDigits+1; i<fCount; ++i) {
            if (fDigits[i] != kZero) {
                return TRUE;
            }
        }
        return maximumDigits > 0 && (fDigits[maximumDigits-1] % 2 != 0);
    }
    return (fDigits[maximumDigits] > '5');
}

// -------------------------------------

// In the Java implementation, we need a separate set(long) because 64-bit longs
// have too much precision to fit into a 64-bit double.  In C++, longs can just
// be passed to set(double) as long as they are 32 bits in size.  We currently
// don't implement 64-bit longs in C++, although the code below would work for
// that with slight modifications. [LIU]
/*
void
DigitList::set(long source)
{
    // handle the special case of zero using a standard exponent of 0.
    // mathematically, the exponent can be any value.
    if (source == 0)
    {
        fcount = 0;
        fDecimalAt = 0;
        return;
    }

    // we don't accept negative numbers, with the exception of long_min.
    // long_min is treated specially by being represented as long_max+1,
    // which is actually an impossible signed long value, so there is no
    // ambiguity.  we do this for convenience, so digitlist can easily
    // represent the digits of a long.
    bool islongmin = (source == long_min);
    if (islongmin)
    {
        source = -(source + 1); // that is, long_max
        islongmin = true;
    }
    sprintf(fdigits, "%d", source);

    // now we need to compute the exponent.  it's easy in this case; it's
    // just the same as the count.  e.g., 0.123 * 10^3 = 123.
    fcount = strlen(fdigits);
    fDecimalAt = fcount;

    // here's how we represent long_max + 1.  note that we always know
    // that the last digit of long_max will not be 9, because long_max
    // is of the form (2^n)-1.
    if (islongmin)
        ++fdigits[fcount-1];

    // finally, we trim off trailing zeros.  we don't alter fDecimalAt,
    // so this has no effect on the represented value.  we know the first
    // digit is non-zero (see code above), so we only have to check down
    // to fdigits[1].
    while (fcount > 1 && fdigits[fcount-1] == kzero)
        --fcount;
}
*/

/**
 * Return true if this object represents the value zero.  Anything with
 * no digits, or all zero digits, is zero, regardless of fDecimalAt.
 */
UBool
00522 DigitList::isZero() const
{
    for (int32_t i=0; i<fCount; ++i)
        if (fDigits[i] != kZero)
            return FALSE;
    return TRUE;
}

/**
 * We represent LONG_MIN internally as LONG_MAX + 1.  This is actually an impossible
 * value, for positive long integers, so we are safe in doing so.
 */
/* // This code is unused.
UBool
DigitList::isLONG_MIN() const
{
//    initializeLONG_MIN_REP();

    if (fCount != LONG_MIN_REP_LENGTH)
        return FALSE;

    for (int32_t i = 0; i < LONG_MIN_REP_LENGTH; ++i)
    {
        if (fDigits[i] != LONG_MIN_REP[i+1])
            return FALSE;
    }

    return TRUE;
}
*/

// Initialize the LONG_MIN representation buffer.  Note that LONG_MIN
// is stored as LONG_MAX+1 (LONG_MIN without the negative sign).

/*void
DigitList::initializeLONG_MIN_REP()
{
    if (LONG_MIN_REP_LENGTH == 0)
    {
        char buf[LONG_DIGITS];
        sprintf(buf, "%d", INT32_MIN);
        LONG_MIN_REP_LENGTH = strlen(buf) - 1;
        // assert(LONG_MIN_REP_LENGTH == LONG_DIGITS);
        for (int32_t i=1; i<=LONG_MIN_REP_LENGTH; ++i)
            LONG_MIN_REP[i-1] = buf[i];
    }
}*/

U_NAMESPACE_END

//eof

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