Numeric Types

Numeric XSD types can be divided into primitive numeric types and derived numeric types. Figure A-2 shows the relationship among numeric types in the XSD type hierarchy, with the primitive numeric types appearing in ovals.

Figure A-2: The numeric type group; primitive types are in ovals.

Primitive Numeric Types

As you saw in Figure A-2, the primitive numeric types are double, decimal, and float. We’ll look at each of these in some detail.

decimal

The decimal type represents the infinite set of all decimal numbers. It lexically covers all decimal numbers of finite length, optionally preceded by or trailed by any number of zeros. You can use + or – to indicate whether the number is positive or negative.

Base Type	Derived Type	SQL Server Type	.NET Type
anySimpleType	integer	DECIMAL	System.Decimal
Applicable Facets	enumeration, fractionDigits, maxExclusive, minExclusive, maxInclusive, minInclusive, pattern, totalDigits, whiteSpace
Examples	<dec>42</dec> <dec>+4567.8723</dec> <dec>-000023.2</dec>

double

The double type represents the set of Institute of Electrical and Electronics Engineers (IEEE) double-precision 64-bit floating-point numbers—the values from +2⁵³ 2⁹⁷⁰ to 1 2–¹⁰⁷⁵ and from –1 2–¹⁰⁷⁵ to –2⁵³ 2⁹⁷⁰. The double type also contains the values NaN, INF, 0, –0, –INF. The exponent section of the number should be represented with an uppercase E.

Base Type	Derived Type	SQL Server Type	.NET Type
anySimpleType	None	FLOAT	System.Double
Applicable Facets	enumeration, maxExclusive, minExclusive, maxInclusive, minInclusive, pattern, whiteSpace
Examples	<double>42</double> <double>4.5678723E3</double> <double>-000034.431000E-10</double>

float

The float type represents the set of IEEE single-precision 32-bit floating-point numbers—the values from +2²⁴ 2¹⁰⁴ to 1 2–¹⁴⁹ and from –1 2–¹⁴⁹ to –2²⁴ 2¹⁰⁴. Float also contains the values NaN, INF, 0, –0, –INF. The exponent section of the number should be represented with an uppercase E.

Base Type	Derived Type	SQL Server Type	.NET Type
anySimpleType	None	REAL	System.Single
Applicable Facets	enumeration, maxExclusive, minExclusive, maxInclusive, minInclusive, pattern, whiteSpace
Examples	<float>42</float> <float>4.5678723E3</float> <float>-000034.431000E-10</float>

Derived Numeric Types

Following are the rest of the numeric types.

integer

The integer type represents the infinite set of all decimal numbers that contain no digits after the decimal point. It lexically covers all integers of finite length, optionally preceded by any number of zeros. You can use + or – to indicate whether the number is positive or negative.

Base Type	Derived Type	SQL Server Type	.NET Type
decimal	long, nonPositiveInteger, nonNegativeInteger	BIGINT	System.Decimal
Applicable Facets	enumeration, fractionDigits, maxExclusive, minExclusive, maxInclusive, minInclusive, pattern, totalDigits, whiteSpace
Examples	<integer>42</integer> <integer>+4567</integer> <integer>-000023</integer>

long

The long type represents the set of all integers that can be stored as a signed integer in a 64-bit field—all integers between –9223372036854775808 and 9223372036854775807. You can use + or – to indicate whether the number is positive or negative.

Base Type	Derived Type	SQL Server Type	.NET Type
integer	int	BIGINT	System.Int64
Applicable Facets	enumeration, fractionDigits, maxExclusive, minExclusive, maxInclusive, minInclusive, pattern, totalDigits, whiteSpace
Examples	<long>0</long> <long>[phone]</long> <long>-000023</long>

int

The int type represents the set of all integers that can be stored as a signed integer in a 32- bit field—all integers between 2147483647 and –2147483648. You can use + or – to indicate whether the number is positive or negative.

Base Type	Derived Type	SQL Server Type	.NET Type
long	short	INT	System.Int32
Applicable Facets	enumeration, fractionDigits, maxExclusive, minExclusive, maxInclusive, minInclusive, pattern, totalDigits, whiteSpace
Examples	<int>0</int> <int>[phone]</int> <int>-54</int>

short

The short type represents the set of all integers that can be stored as a signed integer in a 16-bit field—all integers between 32767 and –32768. You can use + or – to indicate whether the number is positive or negative.

Base Type	Derived Type	SQL Server Type	.NET Type
int	byte	SMALLINT	System.Int16
Applicable Facets	enumeration, fractionDigits, maxExclusive, minExclusive, maxInclusive, minInclusive, pattern, totalDigits, whiteSpace
Examples	<short>0</short> <short>+12345</short> <short>-54</short>

byte

The byte type represents the set of all integers that can be stored as a signed integer in a 8- bit field—all integers between 127 and –128. You can use + or – to indicate whether the number is positive or negative.

Base Type	Derived Type	SQL Server Type	.NET Type
short	N/A	SMALLINT	System.SByte
Applicable Facets	enumeration, fractionDigits, maxExclusive, minExclusive, maxInclusive, minInclusive, pattern, totalDigits, whiteSpace
Examples	<byte>0</byte> <byte>+123</byte> <byte>-54</byte>

nonPositiveInteger

The nonPositiveInteger type represents the infinite set of all integers between zero and negative infinity inclusive. It lexically covers all negative integers of finite length and zero, optionally preceded by any number of zeros.

Base Type	Derived Type	SQL Server Type	.NET Type
integer	negativeInteger	BIGINT	System.Decimal
Applicable Facets	enumeration, fractionDigits, maxExclusive, minExclusive, maxInclusive, minInclusive, pattern, totalDigits, whiteSpace
Examples	<npint>0</npint> <npint>-4567</npint> <npint>-000023</npint>

negativeInteger

The negativeInteger type represents the infinite set of all integers between -1 and negative infinity inclusive. It lexically covers all negative integers of finite length, optionally preceded by any number of zeros.

Base Type	Derived Type	SQL Server Type	.NET Type
nonPositiveInteger	N/A	BIGINT	System.Decimal
Applicable Facets	enumeration, fractionDigits, maxExclusive, minExclusive, maxInclusive, minInclusive, pattern, totalDigits, whiteSpace
Examples	<nint>-4567</nint> <nint>-000023</nint>

nonNegativeInteger

The nonNegativeInteger type represents the infinite set of all integers between zero and positive infinity inclusive. It lexically covers all positive integers of finite length and zero, optionally preceded by any number of zeros.

Base Type	Derived Type	SQL Server Type	.NET Type
integer	positiveInteger, unsignedLong	BIGINT	System.Decimal
Applicable Facets	enumeration, fractionDigits, maxExclusive, minExclusive, maxInclusive, minInclusive, pattern, totalDigits, whiteSpace
Examples	<nnint>0</nnint> <nnint>+4567</nnint> <nnint>000023</nnint>

positiveInteger

The positiveInteger type represents the infinite set of all integers between 1 and positive infinity inclusive. It lexically covers all positive integers of finite length, optionally preceded by any number of zeros. You can include a + sign.

Base Type	Derived Type	SQL Server Type	.NET Type
nonNegativeInteger	N/A	BIGINT	System.Decimal
Applicable Facets	enumeration, fractionDigits, maxExclusive, minExclusive, maxInclusive, minInclusive, pattern, totalDigits, whiteSpace
Examples	<pint>+4567</pint> <pint>000023</pint>

unsignedLong

The unsignedLong type represents the set of all nonnegative integers that can be stored in a 64-bit field—all integers between 0 and +18446744073709551615.

Base Type	Derived Type	SQL Server Type	.NET Type
nonNegativeInteger	unsignedInt	N/A	System.UInt64
Applicable Facets	enumeration, fractionDigits, maxExclusive, minExclusive, maxInclusive, minInclusive, pattern, totalDigits, whiteSpace
Examples	<ulong>0</ulong> <ulong>+09876554321000</ulong> <ulong>000023</ulong>

unsignedInt

The unsignedInt type represents the set of all nonnegative integers that can be stored in a 32-bit field—all integers between 0 and [phone].

Base Type	Derived Type	SQL Server Type	.NET Type
unsignedLong	unsignedShort	BIGINT	System.UInt32
Applicable Facets	enumeration, fractionDigits, maxExclusive, minExclusive, maxInclusive, minInclusive, pattern, totalDigits, whiteSpace
Examples	<uint>0</uint> <uint>+098765543</uint> <uint>000023</uint>

unsignedShort

The unsignedShort type represents the set of all nonnegative integers that can be stored in a 16-bit field—all integers between 0 and +65535.

Base Type	Derived Type	SQL Server Type	.NET Type
unsignedInt	unsignedByte	INT	System.UInt16
Applicable Facets	enumeration, fractionDigits, maxExclusive, minExclusive, maxInclusive, minInclusive, pattern, totalDigits, whiteSpace
Examples	<ushort>0</ushort> <ushort>+9876</ushort> <ushort>000023</ushort>

unsignedByte

The unsignedByte type represents the set of all nonnegative integers that can be stored in an 8-bit field—all integers between 0 and +255.

Base Type	Derived Type	SQL Server Type	.NET Type
unsignedShort	N/A	TINYINT	System.Byte
Applicable Facets	enumeration, fractionDigits, maxExclusive, minExclusive, maxInclusive, minInclusive, pattern, totalDigits, whiteSpace
Examples	<ubyte>0</ubyte> <ubyte>+98</ubyte> <ubyte>000023</ubyte>