Automatic Differentiation
 
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◆ fma() [16/17]

template<typename Ta , require_arithmetic_t< Ta > * = nullptr>
var stan::math::fma ( Ta &&  x,
const var y,
const var z 
)
inline

The fused multiply-add function for a value and two variables (C99).

This function returns the product of the first two arguments plus the third argument.

The partial derivatives are

\(\frac{\partial}{\partial y} (x * y) + z = x\), and

\(\frac{\partial}{\partial z} (x * y) + z = 1\).

Template Parameters
Tatype of the first multiplicand
Parameters
xFirst multiplicand.
ySecond multiplicand.
zSummand.
Returns
Product of the multiplicands plus the summand, ($a * $b) + $c.

Definition at line 183 of file fma.hpp.