Following is a description of the data types used in the math bindable APIs. The special values and limits of the data types are also listed.
The semantics and requirements of a high-level language may affect the values of the data types.
The following table shows the range of values that math bindable APIs can represent and use with the integer data types.
Precise Limit Values of Integer Data Types
| Data Type | Length (bytes) | Range of values |
|---|---|---|
| INT2 | 2 | -32 768 through 32 767 |
| INT4 | 4 | -2 147 483 648 through 2 147 483 647 |
| INT8 (See note) | 8 | -9223372036854775808 through 9223372036854775807 |
| Note: The data type is not currently available. For ILE C, storage for this variable could be defined as char(8). | ||
The operating system represents integers internally in two's complement notation, and the leftmost bit is the sign of the number.
The following table shows the range of values that math bindable APIs can represent and use with the real data types.
Approximate Limit Values of Real Data Types
| Data Type | Length (bytes) | Approximate Absolute Nonzero Minimum | Approximate Absolute Maximum | Approximate Precision (Decimal Digits) |
|---|---|---|---|---|
| FLOAT4 | 4 | 1.175494 x 10-38 | 3.402823 x 1038 | 7 |
| FLOAT8 | 8 | 2.225074 x 10-308 | 1.797693 x 10308 | 15 |
The operating system represents real data type values in IEEE floating-point format.
The following table lists the special values for floating-point operations. The values adhere to the IEEE standard for binary floating-point arithmetic.
| Data Type | Description | Values |
|---|---|---|
| FLOAT4 | +INF | 0x7F800000 |
| FLOAT4 | HUGE | 0x7F7FFFFF |
| FLOAT4 | +0 | 0x00000000 |
| FLOAT4 | -0 | 0x80000000 |
| FLOAT4 | -INF | 0xFF800000 |
| FLOAT4 | masked NaN | 0x7FC00000 |
| FLOAT4 | unmasked NaN | 0x7F800010 |
| FLOAT8 | +INF | 0x7FF00000 0x00000000 |
| FLOAT8 | HUGE | 0x7FEFFFFF 0xFFFFFFFF |
| FLOAT8 | +0 | 0x00000000 0x00000000 |
| FLOAT8 | -0 | 0x80000000 0x00000000 |
| FLOAT8 | -INF | 0xFFF00000 0x00000000 |
| FLOAT8 | masked NaN | 0x7FF80000 0x00000000 |
| FLOAT8 | unmasked NaN | 0x7FF00000 0x00000001 |
The following table shows the range of values that the math bindable APIs can represent and can use with complex data types.
Approximate Limit Values of Complex Data Types
| Data Type | Length (bytes) | Approximate Values |
|---|---|---|
| COMPLEX8 | 8 | Both real and imaginary parts are _FLOAT4. See Approximate Limit Values of Real Data Types |
| COMPLEX16 | 16 | Both real and imaginary parts are FLOAT8. See Approximate Limit Values of Real Data Types |
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