SourcePro® 2024.1 |
SourcePro® API Reference Guide |
Exactly represents a decimal fraction. More...
#include <rw/currency/decimal.h>
Public Member Functions | |
RWDecimal () | |
RWDecimal (const char *str) | |
RWDecimal (const RWDecimal< M > &d) | |
RWDecimal (const RWDecimalPortable &) | |
RWDecimal (int i) | |
RWDecimal (int m, int e) | |
RWDecimal (long int i) | |
RWDecimal (long int m, int e) | |
int | decimalPlaces () const |
int | isNumber () const |
operator RWDecimalPortable () const | |
RWDecimal< M > & | operator*= (const RWDecimal< M > &a) |
RWDecimal< M > | operator+ () const |
RWDecimal< M > & | operator+= (const RWDecimal< M > &a) |
RWDecimal< M > | operator- () const |
RWDecimal< M > & | operator-= (const RWDecimal< M > &a) |
RWDecimal< M > & | operator/= (const RWDecimal< M > &a) |
RWDecimal< M > & | operator= (const RWDecimal< M > &a) |
void | restoreFrom (RWFile &) |
void | restoreFrom (RWvistream &) |
void | saveOn (RWFile &) const |
void | saveOn (RWvostream &) const |
Public Member Functions inherited from RWDecimalBase | |
void | swap (RWDecimalBase &rhs) |
Static Public Member Functions | |
static RWDecimal< M > | from (double) |
static RWDecimal< M > | from (long double) |
static RWDecimal< M > | infinityValue () |
static int | maxDigits () |
static RWDecimal< M > | maxValue () |
static RWDecimal< M > | minValue () |
static RWDecimal< M > | missingValue () |
static RWDecimal< M > | NaNValue () |
static RWDecimal< M > | nullValue () |
static void | setInexactHandler (void(*eh)(const RWDecimalInexactErr< M > &)) |
static void | setOverflowHandler (void(*eh)(const RWDecimalOverflowErr< M > &)) |
static RWDecimal< M > | SNaNValue () |
Static Public Attributes | |
static const RWDecimal< M > | infinity |
static const RWDecimal< M > | missing |
static const RWDecimal< M > | NaN |
static const RWDecimal< M > | null |
static const RWDecimal< M > | SNaN |
Related Symbols | |
(Note that these are not member symbols.) | |
template<class M > | |
RWDecimal< M > | abs (const RWDecimal< M > &d) |
template<class M > | |
bool | operator!= (const RWDecimal< M > &a, const RWDecimal< M > &b) |
template<class M > | |
RWDecimal< M > | operator* (const RWDecimal< M > &a, const RWDecimal< M > &b) |
template<class M > | |
RWDecimal< M > | operator* (const RWDecimal< M > &a, double b) |
template<class M > | |
RWDecimal< M > | operator* (const RWDecimal< M > &a, int b) |
template<class M > | |
RWDecimal< M > | operator* (const RWDecimal< M > &a, long b) |
template<class M > | |
RWDecimal< M > | operator* (double a, const RWDecimal< M > &b) |
template<class M > | |
RWDecimal< M > | operator* (int a, const RWDecimal< M > &b) |
template<class M > | |
RWDecimal< M > | operator* (long a, const RWDecimal< M > &b) |
template<class M > | |
RWDecimal< M > | operator+ (const RWDecimal< M > &a, const RWDecimal< M > &b) |
template<class M > | |
RWDecimal< M > | operator+ (const RWDecimal< M > &a, int b) |
template<class M > | |
RWDecimal< M > | operator+ (const RWDecimal< M > &a, long b) |
template<class M > | |
RWDecimal< M > | operator+ (int a, const RWDecimal< M > &b) |
template<class M > | |
RWDecimal< M > | operator+ (long a, const RWDecimal< M > &b) |
template<class M > | |
RWDecimal< M > | operator- (const RWDecimal< M > &a, const RWDecimal< M > &b) |
template<class M > | |
RWDecimal< M > | operator- (const RWDecimal< M > &a, int b) |
template<class M > | |
RWDecimal< M > | operator- (const RWDecimal< M > &a, long b) |
template<class M > | |
RWDecimal< M > | operator- (int a, const RWDecimal< M > &b) |
template<class M > | |
RWDecimal< M > | operator- (long a, const RWDecimal< M > &b) |
template<class M > | |
RWDecimal< M > | operator/ (const char *a, const RWDecimal< M > &b) |
template<class M > | |
RWDecimal< M > | operator/ (const RWDecimal< M > &a, const char *b) |
template<class M > | |
RWDecimal< M > | operator/ (const RWDecimal< M > &a, const RWDecimal< M > &b) |
template<class M > | |
RWDecimal< M > | operator/ (const RWDecimal< M > &a, const RWDecimalPortable &b) |
template<class M > | |
RWDecimal< M > | operator/ (const RWDecimal< M > &a, double b) |
template<class M > | |
RWDecimal< M > | operator/ (const RWDecimal< M > &a, int b) |
template<class M > | |
RWDecimal< M > | operator/ (const RWDecimal< M > &a, long b) |
template<class M > | |
RWDecimal< M > | operator/ (const RWDecimalPortable &a, const RWDecimal< M > &b) |
template<class M > | |
RWDecimal< M > | operator/ (double a, const RWDecimal< M > &b) |
template<class M > | |
RWDecimal< M > | operator/ (int a, const RWDecimal< M > &b) |
template<class M > | |
RWDecimal< M > | operator/ (long a, const RWDecimal< M > &b) |
template<class M > | |
bool | operator< (const RWDecimal< M > &a, const RWDecimal< M > &b) |
template<class M > | |
RWvostream & | operator<< (RWvostream &strm, const RWDecimal< M > &n) |
template<class M > | |
bool | operator<= (const RWDecimal< M > &a, const RWDecimal< M > &b) |
template<class M > | |
bool | operator== (const RWDecimal< M > &a, const RWDecimal< M > &b) |
template<class M > | |
bool | operator> (const RWDecimal< M > &a, const RWDecimal< M > &b) |
template<class M > | |
bool | operator>= (const RWDecimal< M > &a, const RWDecimal< M > &b) |
template<class M > | |
std::istream & | operator>> (std::istream &strm, RWDecimal< M > &d) |
template<class M > | |
RWDecimal< M > | pow (const RWDecimal< M > &d, int e) |
template<class M > | |
RWDecimal< M > | round (const RWDecimal< M > &d, int digits, RWDecimalBase::RoundingMethod m) |
template<class M > | |
long double | toDouble (const RWDecimal< M > &d) |
template<class M > | |
long int | toInt (const RWDecimal< M > &d, RWDecimalBase::RoundingMethod m) |
template<class M > | |
RWCString | toString (const RWDecimal< M > &d) |
Additional Inherited Members | |
Public Types inherited from RWDecimalBase | |
enum | Op { assign , add , sub , mult , div , powop , pow10op , conversion } |
enum | RoundingMethod { PLAIN , UP , DOWN , BANKERS , TRUNCATE } |
enum | State { normal , nullstate , NaNstate , ctorError , missingstate , SNaNstate , infinitystate } |
RWDecimal instances are exact representations of decimal fractions. They behave very similarly to the built-in floating point types, float
and double
. However, because the built-in types use base 2, they cannot store decimal fractions exactly, resulting in rounding errors and a loss of precision. Since the RWDecimal classes use base 10, they can do decimal math exactly.
RWDecimal is templatized. Three short type names are provided: RWDecimal, RWDecimal, and RWDecimal. Each type provides a different amount of precision, as described below in the Limits section. The trade-off is simple: the more precision, the slower the class.
You may also write your own RWDecimal class. Throughout this section, when we refer to the RWDecimal class, you can assume that it applies to any of the three provided classes, or to one you have defined.
Class RWDecimal provides three static member functions that can be used to define the limits on an RWDecimal object. These functions return the precision, maximum value, and minimum value of a number:
The following code snippets demonstrate when an overflow condition caused by exceeding a maximum value will occur:
Table 1 indicates the minimum and maximum values for RWDecimal when T
is replaced by one of the provided multi-precision integer types:
Class | Minimum value | Max Digits |
---|---|---|
Maximum value | ||
RWDecimal | -39614081257132168796771975167 | 28 |
39614081257132168796771975167 | ||
RWDecimal | -9223372036854775807 | 18 |
9223372036854775807 | ||
RWDecimal | -9007199254740991 | 15 |
9007199254740991 |
As well as representing a decimal fraction, an RWDecimal can also represent one of several non-numeric values. This concept has several uses, including, for example, representing a null entry from a database or indicating a missing value in data, which is to be subjected to a statistical analysis. Currency Module supports five types of non-numeric values: null, missing, NaN (not a number), SNaN (signaling NaN), and infinity. The SNaN value behaves as a NaN value for all operations except toDouble(). The missing, and NaN values propagate while null values do not. This means that arithmetic operations performed using a missing or an NaN result in a missing or an NaN value, whereas arithmetic operations performed with a null operand return either a valid number or an NaN. Operations performed on infinity follow specific rules detailed in RWDecimalBase::State, and may return infinity, NaN, or zero. Details are given below.
The special static constants RWDecimal::missing, RWDecimal::null, RWDecimal::NaN, RWDecimal::SNaN, and RWDecimal::infinity are the prototype missing, null, NaN, SNaN and infinity values. To set up a non-numeric RWDecimal, use these static variables, along with either the copy constructor or assignment operator. To test for a non-numeric value, use these values, along with an equality operator. You can use the member function isNumber() to test if an RWDecimal has a numeric value.
For the most part, arithmetic between RWDecimal objects is defined very simply: you get back an exact representation of the result of the operation. However, there are several special cases:
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Copy constructor. Constructs an RWDecimal that is a copy of the argument.
RWDecimal< M >::RWDecimal | ( | const RWDecimalPortable & | ) |
Constructs an RWDecimal representation of the argument. This constructor is most often used implicitly to provide type conversion from one RWDecimal type to another using an RWDecimalPortable object as an intermediate representation.
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Constructs an RWDecimal with value i. The explicit integer constructors prevent initializations from 0 from being ambiguous. Without the int
constructor, the compiler would not know whether to convert 0 to a const
char*
or a long
int
.
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Constructs an RWDecimal with value i. The explicit integer constructors prevent initializations from 0 from being ambiguous. Without the int
constructor, the compiler would not know whether to convert 0 to a const
char*
or a long
int
.
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Constructs an RWDecimal with value m * 10-e
, so that e represents the number of digits after the decimal point.
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Constructs an RWDecimal with value m * 10-e
, so that e represents the number of digits after the decimal point.
RWDecimal< M >::RWDecimal | ( | const char * | str | ) |
Constructs an RWDecimal from the null-terminated character string str. Since we write numbers using base 10, and the RWDecimal class stores numbers using base 10, the number constructed is an exact representation of the string. If the string cannot be successfully parsed as a number, the RWDecimal is initialized to null. If the number in the string cannot be exactly represented (for example, it has too many significant digits) then the appropriate error handler (either the inexact or overflow handler) is called. The string may contain embedded commas to separate groups of digits and may have a leading dollar sign. Negatives can be indicated with a negative sign or by using parentheses. A technical description of the exact input grammar allowed is given in the section "Technical Notes" of the Currency Module User's Guide.
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Returns the number of digits to the right of the decimal point.
Converts a floating point value to an RWDecimal. Results may be inexact.
Converts a floating point value to an RWDecimal. Results may be inexact.
Specifies the non-numeric value infinity
. Use this function to test or to set its value on an RWDecimal.
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Returns the maximum number of digits that an RWDecimal of the indicated type is guaranteed to represent without overflow. In most cases, an RWDecimal can represent some numbers of length actualDigits
, where actualDigits=
maxDigits() + 1
. For example, the maxDigits() value for class RWDecimal is 18, even though the number of digits in the maxValue() for the class is 19.
Returns the maximum value that can be represented by this class. The maximum value +1 will always generate an overflow error.
Returns the minimum value that can be represented by this class. The minimum value -1 will always generate an overflow error.
Specifies the non-numeric value missing
. Use this function to test or to set its value on an RWDecimal.
Specifies the non-numeric value NaN
. Use this function to test or to set its value on an RWDecimal.
Specifies the non-numeric value null
. Use this function to test or to set its value on an RWDecimal.
RWDecimal< M >::operator RWDecimalPortable | ( | ) | const |
Conversion to a portable decimal object. This is most often used implicitly to interface with a facility such as I/O or type conversion.
Performs the operation between self and the argument, and then stores the results in self. If the resulting operation causes loss of precision or overflow in the result, the appropriate error handler will be called before the function returns.
Returns the result of applying the unary operator.
Performs the operation between self and the argument, and then stores the results in self. If the resulting operation causes loss of precision or overflow in the result, the appropriate error handler will be called before the function returns.
Returns the result of applying the unary operator.
Performs the operation between self and the argument, and then stores the results in self. If the resulting operation causes loss of precision or overflow in the result, the appropriate error handler will be called before the function returns.
Performs the operation between self and the argument, and then stores the results in self. If the resulting operation causes loss of precision or overflow in the result, the appropriate error handler will be called before the function returns.
Sets the value of self equal to the value of the argument.
void RWDecimal< M >::restoreFrom | ( | RWvistream & | ) |
Restores value of self from a virtual stream. The virtual stream class is provided with Rogue Wave's Essential Tools Module class library. This function requires that you link in the Essential Tools Module library.
void RWDecimal< M >::saveOn | ( | RWvostream & | ) | const |
Stores value of self to a virtual stream. The virtual stream class is provided with Rogue Wave's Essential Tools Module class library. This function requires that you link in the Essential Tools Module library.
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Sets the function that is called when an "inexact" error occurs. This type of error most often indicates the use of an arithmetic operation that will cause loss of precision in the result. defaultInexactHandler
, the default error handler, prints an error message, but does not throw an exception.
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Sets the function that is called when an "overflow" error occurs. This type of error most often indicates the use of an arithmetic operation that will cause a result larger than can be stored. The default error handler, defaultOverflowHandler
, simply throws the error object as a C++ exception.
Specifies the non-numeric value SNaN
. Use this function to test or to set its value on an RWDecimal.
Returns the absolute value of d.
The not equal operator returns true
if the two operands are not exactly the same, and false
otherwise.
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These arithmetic operators have their conventional meanings. If the resulting operation causes loss of precision or overflow in the result, the appropriate error handler will be called before the function returns.
These arithmetic operators have their conventional meanings. If the resulting operation causes loss of precision or overflow in the result, the appropriate error handler will be called before the function returns.
These arithmetic operators have their conventional meanings. If the resulting operation causes loss of precision or overflow in the result, the appropriate error handler will be called before the function returns.
These arithmetic operators have their conventional meanings. If the resulting operation causes loss of precision or overflow in the result, the appropriate error handler will be called before the function returns.
These arithmetic operators have their conventional meanings. If the resulting operation causes loss of precision or overflow in the result, the appropriate error handler will be called before the function returns.
These arithmetic operators have their conventional meanings. If the resulting operation causes loss of precision or overflow in the result, the appropriate error handler will be called before the function returns.
These arithmetic operators have their conventional meanings. If the resulting operation causes loss of precision or overflow in the result, the appropriate error handler will be called before the function returns.
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These arithmetic operators have their conventional meanings. If the resulting operation causes loss of precision or overflow in the result, the appropriate error handler will be called before the function returns.
These arithmetic operators have their conventional meanings. If the resulting operation causes loss of precision or overflow in the result, the appropriate error handler will be called before the function returns.
These arithmetic operators have their conventional meanings. If the resulting operation causes loss of precision or overflow in the result, the appropriate error handler will be called before the function returns.
These arithmetic operators have their conventional meanings. If the resulting operation causes loss of precision or overflow in the result, the appropriate error handler will be called before the function returns.
These arithmetic operators have their conventional meanings. If the resulting operation causes loss of precision or overflow in the result, the appropriate error handler will be called before the function returns.
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These arithmetic operators have their conventional meanings. If the resulting operation causes loss of precision or overflow in the result, the appropriate error handler will be called before the function returns.
These arithmetic operators have their conventional meanings. If the resulting operation causes loss of precision or overflow in the result, the appropriate error handler will be called before the function returns.
These arithmetic operators have their conventional meanings. If the resulting operation causes loss of precision or overflow in the result, the appropriate error handler will be called before the function returns.
These arithmetic operators have their conventional meanings. If the resulting operation causes loss of precision or overflow in the result, the appropriate error handler will be called before the function returns.
These arithmetic operators have their conventional meanings. If the resulting operation causes loss of precision or overflow in the result, the appropriate error handler will be called before the function returns.
These arithmetic operators have their conventional meanings. If the resulting operation causes loss of precision or overflow in the result, the appropriate error handler will be called before the function returns.
These arithmetic operators have their conventional meanings. If the resulting operation causes loss of precision or overflow in the result, the appropriate error handler will be called before the function returns.
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These arithmetic operators have their conventional meanings. If the resulting operation causes loss of precision or overflow in the result, the appropriate error handler will be called before the function returns.
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related |
These arithmetic operators have their conventional meanings. If the resulting operation causes loss of precision or overflow in the result, the appropriate error handler will be called before the function returns.
These arithmetic operators have their conventional meanings. If the resulting operation causes loss of precision or overflow in the result, the appropriate error handler will be called before the function returns.
These arithmetic operators have their conventional meanings. If the resulting operation causes loss of precision or overflow in the result, the appropriate error handler will be called before the function returns.
These arithmetic operators have their conventional meanings. If the resulting operation causes loss of precision or overflow in the result, the appropriate error handler will be called before the function returns.
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These arithmetic operators have their conventional meanings. If the resulting operation causes loss of precision or overflow in the result, the appropriate error handler will be called before the function returns.
These arithmetic operators have their conventional meanings. If the resulting operation causes loss of precision or overflow in the result, the appropriate error handler will be called before the function returns.
These arithmetic operators have their conventional meanings. If the resulting operation causes loss of precision or overflow in the result, the appropriate error handler will be called before the function returns.
These arithmetic operators have their conventional meanings. If the resulting operation causes loss of precision or overflow in the result, the appropriate error handler will be called before the function returns.
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Writes an RWDecimal to an output stream. Output is written in the form -xxx.yyy
where the xxx
and yyy
are integers and only the necessary parts are written. For more elaborate formatting, use an RWDecimalFormat object.
The equality operator returns true
if the two operands are exactly the same, and false
otherwise.
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Reads an RWDecimal from an input stream. Since we write numbers using base 10 and the RWDecimal class stores numbers using base 10, the number constructed is an exact representation of the input. The number may contain embedded commas to separate groups of digits and may have a leading dollar sign. Negatives can be indicated with a negative sign or by using parentheses. A technical description of the exact input grammar allowed is given in the section "Technical Notes" of the Currency Module User's Guide.
Returns d raised to the exponent e. This computation is likely to cause a loss of precision (and a corresponding call to the precision error handler) if e is at all large, and d has any decimal places.
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Returns d rounded to digits decimal places. The method of rounding is controlled by the optional last parameter. These parameters are enumerated in RWDecimalBase, and their effects are shown in the table below. The last three columns indicate the result of rounding three example numbers to one decimal place. Rounding a negative number returns exactly the same result as rounding the corresponding positive number and making the result negative.
Method | Description | 1.25 | 1.35 | 1.251 |
PLAIN | Rounds towards zero on a tie | 1.2 | 1.3 | 1.2 |
UP | Always rounds away from zero | 1.3 | 1.4 | 1.3 |
DOWN | Always rounds toward zero | 1.2 | 1.3 | 1.2 |
TRUNCATE | Same as DOWN | 1.2 | 1.3 | 1.2 |
BANKERS | On a tie, round so last digit is even | 1.2 | 1.4 | 1.3 |
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Converts an RWDecimal to a string. The string produced by this function has the form -xxx.yyy
where the xxx
and yyy
are integers to the left and right of the decimal. Digits only appear if necessary. For more elaborate formatting, use an RWDecimalFormat object.
Specifies the non-numeric value infinity
. Use this static instance to test or to set its value on an RWDecimal.
Specifies the non-numeric value missing
. Use this static instance to test or to set its value on an RWDecimal.
Specifies the non-numeric value NaN
. Use this static instance to test or to set its value on an RWDecimal.
Specifies the non-numeric value null
. Use this static instance to test or to set its value on an RWDecimal.
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