[inner.product] # 26 Algorithms library [[algorithms]](./#algorithms) ## 26.10 Generalized numeric operations [[numeric.ops]](numeric.ops#inner.product) ### 26.10.5 Inner product [inner.product] [🔗](#lib:inner_product) `template constexpr T inner_product(InputIterator1 first1, InputIterator1 last1, InputIterator2 first2, T init); template constexpr T inner_product(InputIterator1 first1, InputIterator1 last1, InputIterator2 first2, T init, BinaryOperation1 binary_op1, BinaryOperation2 binary_op2); ` [1](#1) [#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L12469) *Preconditions*: T meets the [*Cpp17CopyConstructible*](utility.arg.requirements#:Cpp17CopyConstructible "16.4.4.2 Template argument requirements [utility.arg.requirements]") (Table [32](utility.arg.requirements#tab:cpp17.copyconstructible "Table 32: Cpp17CopyConstructible requirements (in addition to Cpp17MoveConstructible)")) and [*Cpp17CopyAssignable*](utility.arg.requirements#:Cpp17CopyAssignable "16.4.4.2 Template argument requirements [utility.arg.requirements]") (Table [34](utility.arg.requirements#tab:cpp17.copyassignable "Table 34: Cpp17CopyAssignable requirements (in addition to Cpp17MoveAssignable)")) requirements[.](#1.sentence-1) In the ranges [first1, last1] and [first2, first2 + (last1 - first1)]binary_op1 and binary_op2 neither modifies elements nor invalidates iterators or subranges[.](#1.sentence-2)[207](#footnote-207 "The use of fully closed ranges is intentional.") [2](#2) [#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/algorithms.tex#L12482) *Effects*: Computes its result by initializing the accumulator acc with the initial value init and then modifying it withacc = std​::​move(acc) + (*i1) * (*i2) oracc = binary_op1(std​::​move(acc), binary_op2(*i1, *i2)) for every iterator i1 in the range [first1, last1) and iterator i2 in the range [first2, first2 + (last1 - first1)) in order[.](#2.sentence-1) [207)](#footnote-207)[207)](#footnoteref-207) The use of fully closed ranges is intentional[.](#footnote-207.sentence-1)