fma

fma(x, y, z)

Computes x*y+z without rounding the intermediate result x*y. On some systems this is significantly more expensive than x*y+z. fma is used to improve accuracy in certain algorithms. See muladd.

Examples

In the Julia programming language, the function fma(x, y, z) computes x*y+z without rounding the intermediate result x*y. It is used to improve accuracy in certain algorithms. Here are some examples of how fma can be used:

  1. Basic usage:

    julia> fma(2.5, 3.2, 1.7)
    10.4

    This example calculates 2.5 * 3.2 + 1.7 without rounding the intermediate result.

  2. Using variables:

    julia> x = 1.5;
    julia> y = 2.3;
    julia> z = 0.7;
    julia> fma(x, y, z)
    4.05

    In this example, the variables x, y, and z are used to calculate x * y + z using fma.

  3. Improving accuracy in complex calculations:
    julia> a = 1.23456789;
    julia> b = 9.87654321;
    julia> c = 0.98765432;
    julia> result = fma(a, b, c)
    11.113950207654321

    The fma function can be used to improve accuracy when performing complex calculations that involve multiplication and addition.

Please note that the performance of fma can vary across different systems. It is recommended to benchmark and compare its performance against alternative implementations, such as muladd, to determine the most efficient option for your specific use case.

See Also

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