All Numeric Algorithms

All Numeric Algorithms

A compact scan page for the main standard numeric algorithms from <numeric> and adjacent math-oriented facilities.

How to use this reference page

Use reference pages to confirm names, categories, nearby facilities, and the constraints that matter before writing or reviewing code.

Scan the top of the page first to identify the primary types, functions, or algorithm families involved.
Use the nearby-page links when your question is really about a companion header, related algorithm family, or broader subsystem.
Validate tricky behavior with a small compileable example before relying on memory for details like invalidation, ordering, allocation, or lifetime rules.

All Numeric Algorithms

Accumulation and reduction

std::accumulate
std::reduce
std::transform_reduce

Prefix and suffix style scans

std::inclusive_scan
std::exclusive_scan
std::transform_inclusive_scan
std::transform_exclusive_scan

Differences and products

std::adjacent_difference
std::inner_product

Integer and ratio helpers

std::gcd
std::lcm
midpoint-like helpers live elsewhere rather than in <numeric>

Common use guidance

Use accumulate for ordered left folds when sequencing matters.
Use reduce when parallel-friendly reduction semantics are acceptable.
Use scan algorithms when each output element depends on prior accumulated state.
Prefer named standard algorithms over handwritten loops when the operation matches directly.

Example in practice

int main() {
    // Pick one facility from this reference page.
    // Write the smallest program that exercises its main precondition,
    // complexity rule, or lifetime constraint before scaling up.
    return 0;
}