refactor

almost complete. Need to doublecheck names for functions in *_serial.h

include/numerics/detail/dot_serial.h

@@ -0,0 +1,42 @@
+#pragma once
+
+#include <cstdint> //uint64_t
+#include <stdexcept> // std::runtime_error
+
+#include "../utils/vector.h"
+#include "../utils/matrix.h"
+
+namespace numerics::detail{
+
+	// ---------------- Vector * Vector ----------------
+	template <typename T>
+	inline T dot_serial(const utils::Vector<T>& v, const utils::Vector<T>& p) {
+	    const uint64_t N = v.size();
+	    if (N != p.size()) {
+	        throw std::runtime_error("dot_serial: dimension mismatch");
+	    }
+	    T dot_product = T{0};
+		for (uint64_t i = 0; i < N; ++i){
+			dot_product += v[i]*p[i];
+		}
+		return dot_product;
+	}
+	
+	// ---------------- Matrix * Vector ----------------
+	template <typename T>
+	inline utils::Vector<T> dot_serial(const utils::Matrix<T>& A, const utils::Vector<T>& v) {
+	    const uint64_t rows = A.rows();
+	    const uint64_t cols = A.cols();
+	    if (cols != v.size()) {
+	        throw std::runtime_error("dot_serial: dimension mismatch");
+	    }
+	    utils::Vector<T> dot_product(rows, T{0});
+		for (uint64_t j = 0; j < cols; ++j){
+			for (uint64_t i = 0; i < rows; ++i){
+				dot_product[i] += A(i,j)*v[j];
+			}
+		}
+		return dot_product;
+	}
+} // namespace numerics
+