| /* |
| ******************************************************************************** |
| * * |
| * COPYRIGHT: * |
| * (C) Copyright Taligent, Inc., 1997 * |
| * (C) Copyright International Business Machines Corporation, 1997-1998 * |
| * Licensed Material - Program-Property of IBM - All Rights Reserved. * |
| * US Government Users Restricted Rights - Use, duplication, or disclosure * |
| * restricted by GSA ADP Schedule Contract with IBM Corp. * |
| * * |
| ******************************************************************************** |
| * |
| * 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> |
| |
| // ***************************************************************************** |
| // class DigitList |
| // This class handles the transcoding between numeric values and strings of |
| // characters. Only handles as non-negative numbers. |
| // ***************************************************************************** |
| |
| const char DigitList::kZero = '0'; |
| |
| char DigitList::LONG_MIN_REP[LONG_DIGITS]; |
| int32_t DigitList::LONG_MIN_REP_LENGTH = 0; |
| |
| // ------------------------------------- |
| // default constructor |
| |
| DigitList::DigitList() |
| { |
| clear(); |
| } |
| |
| // ------------------------------------- |
| |
| DigitList::~DigitList() |
| { |
| } |
| |
| // ------------------------------------- |
| // copy constructor |
| |
| DigitList::DigitList(const DigitList &other) |
| { |
| *this = other; |
| } |
| |
| // ------------------------------------- |
| // assignment operator |
| |
| DigitList& |
| DigitList::operator=(const DigitList& other) |
| { |
| if (this != &other) |
| { |
| fDecimalAt = other.fDecimalAt; |
| fCount = other.fCount; |
| strncpy(fDigits, other.fDigits, MAX_DIGITS); |
| } |
| return *this; |
| } |
| |
| // ------------------------------------- |
| |
| bool_t |
| DigitList::operator==(const DigitList& that) const |
| { |
| return ((this == &that) || |
| (fDecimalAt == that.fDecimalAt && |
| fCount == that.fCount && |
| 0 == strncmp(fDigits, that.fDigits, fCount))); |
| } |
| |
| // ------------------------------------- |
| // Resets the digit list; sets all the digits to zero. |
| |
| void |
| DigitList::clear() |
| { |
| fDecimalAt = 0; |
| fCount = 0; |
| for (int32_t i=0; i<MAX_DIGITS; ++i) fDigits[i] = kZero; |
| } |
| |
| // ------------------------------------- |
| // Appends the digit to the digit list if it's not out of scope. |
| // Ignores the digit, otherwise. |
| |
| void |
| DigitList::append(char digit) |
| { |
| // Ignore digits which exceed the precision we can represent |
| if (fCount < MAX_DIGITS) fDigits[fCount++] = digit; |
| } |
| |
| // ------------------------------------- |
| |
| /** |
| * Currently, getDouble() depends on atof() to do its conversion. |
| */ |
| double |
| DigitList::getDouble() const |
| { |
| if (fCount == 0) return 0.0; |
| |
| // For the string "." + fDigits + "e" + fDecimalAt. |
| char buffer[MAX_DIGITS+32]; |
| *buffer = '.'; |
| strncpy(buffer+1, fDigits, fCount); |
| sprintf(buffer+fCount+1, "e%d", fDecimalAt); |
| return atof(buffer); |
| } |
| |
| // ------------------------------------- |
| |
| int32_t DigitList::getLong() const |
| { |
| // 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, this method |
| // must be rewritten. [LIU] |
| return (int32_t)getDouble(); |
| } |
| |
| /** |
| * Return true if the number represented by this object can fit into |
| * a long. |
| */ |
| bool_t |
| DigitList::fitsIntoLong(bool_t isPositive, bool_t 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. This does not change the represented value. |
| while (fCount > 0 && fDigits[fCount - 1] == '0') --fCount; |
| |
| if (fCount == 0) { |
| // Positive zero fits into a long, but negative zero can only |
| // be represented as a double. - bug 4162852 |
| return isPositive || 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 !isPositive; |
| } |
| |
| // ------------------------------------- |
| |
| /** |
| * @param maximumDigits The maximum digits to be generated. If zero, |
| * there is no maximum -- generate all digits. |
| */ |
| void |
| DigitList::set(int32_t source, int32_t maximumDigits) |
| { |
| // for now, simple implementation; later, do proper IEEE stuff |
| //String stringDigits = Long.toString(source); |
| char string [10 + 1]; // maximum digits for a 32-bit signed number is 10 + 1 for sign |
| sprintf(string, "%d", source); |
| |
| char *stringDigits = string; |
| // This method does not expect a negative number. However, |
| // "source" can be a Long.MIN_VALUE (-9223372036854775808), |
| // if the number being formatted is a Long.MIN_VALUE. In that |
| // case, it will be formatted as -Long.MIN_VALUE, a number |
| // which is outside the legal range of a long, but which can |
| // be represented by DigitList. |
| if (stringDigits[0] == '-') |
| stringDigits++; |
| |
| fCount = fDecimalAt = strlen(stringDigits); |
| |
| // Don't copy trailing zeros |
| while (fCount > 1 && stringDigits[fCount - 1] == '0') |
| --fCount; |
| |
| //for (int32_t i = 0; i < fCount; ++i) |
| // fDigits[i] = (char) stringDigits[i]; |
| strncpy(fDigits, stringDigits, fCount); |
| |
| if(maximumDigits > 0) |
| round(maximumDigits); |
| |
| #if(0) |
| // {sfb} old implementation, keep around for now |
| |
| // Handle the case in which source == LONG_MIN |
| set((source >= 0 ? (double)source : -((double)source)), |
| maximumDigits > 0 ? maximumDigits : MAX_DIGITS, |
| maximumDigits == 0); |
| #endif |
| } |
| |
| /** |
| * 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 |
| DigitList::set(double source, int32_t maximumDigits, bool_t fixedPoint) |
| { |
| if(source == 0) source = 0; |
| // Generate a representation of the form DDDDD, DDDDD.DDDDD, or |
| // DDDDDE+/-DDDDD. |
| //String rep = Double.toString(source); |
| char rep[MAX_DIGITS + 7]; // Extra space for '.', e+NNN, and '\0' (actually +7 is enough) |
| sprintf(rep, "%1.*e", MAX_DIGITS - 1, source); |
| |
| fDecimalAt = -1; |
| fCount = 0; |
| int32_t exponent = 0; |
| // Number of zeros between decimal point and first non-zero digit after |
| // decimal point, for numbers < 1. |
| int32_t leadingZerosAfterDecimal = 0; |
| bool_t nonZeroDigitSeen = FALSE; |
| for (int32_t i=0; i < MAX_DIGITS + 7; ++i) { |
| char c = rep[i]; |
| if (c == '.') { |
| fDecimalAt = fCount; |
| } |
| else if (c == 'e' || c == 'E') { |
| // Parse an exponent of the form /[eE][+-]?[0-9]*/ |
| //exponent = Integer.valueOf(rep.substring(i+1)).intValue(); |
| i += 1; // adjust for 'e' |
| bool_t negExp = rep[i] == '-'; |
| if (negExp || rep[i] == '+') { |
| ++i; |
| } |
| while ((c = rep[i++]) >= '0' && c <= '9') { |
| exponent = 10*exponent + c - '0'; |
| } |
| if (negExp) { |
| exponent = -exponent; |
| } |
| break; |
| } |
| else if (fCount < MAX_DIGITS) { |
| if ( ! nonZeroDigitSeen) { |
| nonZeroDigitSeen = (c != '0'); |
| if ( ! nonZeroDigitSeen && fDecimalAt != -1) |
| ++leadingZerosAfterDecimal; |
| } |
| |
| if (nonZeroDigitSeen) |
| fDigits[fCount++] = (char)c; |
| } |
| } |
| if (fDecimalAt == -1) |
| fDecimalAt = fCount; |
| fDecimalAt += exponent - leadingZerosAfterDecimal; |
| |
| if (fixedPoint) |
| { |
| // 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 (-fDecimalAt > maximumDigits) { |
| // Handle an underflow to zero when we round something like |
| // 0.0009 to 2 fractional digits. |
| fCount = 0; |
| return; |
| } else if (-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 (shouldRoundUp(0)) { |
| fCount = 1; |
| ++fDecimalAt; |
| fDigits[0] = (char)'1'; |
| } else { |
| fCount = 0; |
| } |
| return; |
| } |
| } |
| |
| // Eliminate trailing zeros. |
| while (fCount > 1 && fDigits[fCount - 1] == '0') |
| --fCount; |
| |
| /*if (DEBUG) |
| { |
| System.out.print("Before rounding 0."); |
| for (int i=0; i<fCount; ++i) System.out.print((char)digits[i]); |
| System.out.println("x10^" + fDecimalAt); |
| }*/ |
| |
| // 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 || maximumDigits > 0) { |
| round(fixedPoint ? (maximumDigits + fDecimalAt) : maximumDigits); |
| } |
| |
| /*if (DEBUG) |
| { |
| System.out.print("After rounding 0."); |
| for (int i=0; i<fCount; ++i) System.out.print((char)digits[i]); |
| System.out.println("x10^" + fDecimalAt); |
| }*/ |
| } |
| |
| // ------------------------------------- |
| |
| /** |
| * 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 |
| 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. |
| for (;;) |
| { |
| --maximumDigits; |
| 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 = 0; // Adjust the count |
| break; |
| } |
| |
| ++fDigits[maximumDigits]; |
| if (fDigits[maximumDigits] <= '9') break; |
| // fDigits[maximumDigits] = '0'; // Unnecessary since we'll truncate this |
| } |
| ++maximumDigits; // Increment for use as count |
| } |
| fCount = maximumDigits; |
| |
| // Eliminate trailing zeros. |
| while (fCount > 1 && fDigits[fCount-1] == '0') { |
| --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 |
| */ |
| bool_t DigitList::shouldRoundUp(int32_t maximumDigits) { |
| bool_t increment = FALSE; |
| // Implement IEEE half-even rounding |
| if (fDigits[maximumDigits] > '5') { |
| return TRUE; |
| } else if (fDigits[maximumDigits] == '5' ) { |
| for (int i=maximumDigits+1; i<fCount; ++i) { |
| if (fDigits[i] != '0') { |
| return TRUE; |
| } |
| } |
| return maximumDigits > 0 && (fDigits[maximumDigits-1] % 2 != 0); |
| } |
| return FALSE; |
| } |
| |
| // ------------------------------------- |
| |
| // 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. |
| */ |
| bool_t |
| 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. |
| */ |
| bool_t |
| 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) |
| { |
| // THIS ASSUMES A 32-BIT LONG_MIN VALUE |
| char buf[LONG_DIGITS]; |
| sprintf(buf, "%d", LONG_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]; |
| } |
| } |
| |
| //eof |