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Information about the actual properties, such as size, of the basic arithmetic types, is provided via macro constants in two headers: <limits.h> header (climits header in C++) defines macros for integer types and <float.h> header (cfloat header in C++) defines macros for floating-point types. The actual values depend on the implementation.
C# allows an implementation for a given hardware architecture to always use a higher precision for intermediate results if available, i.e. C# does not allow the programmer to optionally force intermediate results to use the potential lower precision of single/double. [94] Although Java's floating-point arithmetic is largely based on IEEE 754 ...
Arithmetic underflow can occur when the true result of a floating-point operation is smaller in magnitude (that is, closer to zero) than the smallest value representable as a normal floating-point number in the target datatype. [1] Underflow can in part be regarded as negative overflow of the exponent of the floating-point value. For example ...
ILM was searching for an image format that could handle a wide dynamic range, but without the hard drive and memory cost of single or double precision floating point. [5] The hardware-accelerated programmable shading group led by John Airey at SGI (Silicon Graphics) used the s10e5 data type in 1997 as part of the 'bali' design effort.
Before JVM 1.2, floating-point calculations were required to be strict; that is, all intermediate floating-point results were required to behave as if represented using IEEE single or double precisions. This made it expensive on common x87-based hardware to ensure that overflows would occur where required.
Cover of the C99 standards document. C99 (previously C9X, formally ISO/IEC 9899:1999) is a past version of the C programming language open standard. [1] It extends the previous version with new features for the language and the standard library, and helps implementations make better use of available computer hardware, such as IEEE 754-1985 floating-point arithmetic, and compiler technology. [2]
Integer overflow can be demonstrated through an odometer overflowing, a mechanical version of the phenomenon. All digits are set to the maximum 9 and the next increment of the white digit causes a cascade of carry-over additions setting all digits to 0, but there is no higher digit (1,000,000s digit) to change to a 1, so the counter resets to zero.
push the constant 0.0 (a double) onto the stack dconst_1 0f 0000 1111 → 1.0 push the constant 1.0 (a double) onto the stack ddiv 6f 0110 1111 value1, value2 → result divide two doubles dload 18 0001 1000 1: index → value load a double value from a local variable #index: dload_0 26 0010 0110 → value load a double from local variable 0 ...