From e565d4e44c8013607a372c0f2a4af0eee8164843 Mon Sep 17 00:00:00 2001
From: Adrian Kummerlaender
Date: Sun, 22 May 2016 02:02:58 +0200
Subject: Consistently use `std::ptrdiff_t` for coordinates

---
 voronoi.cc | 126 +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
 1 file changed, 126 insertions(+)
 create mode 100644 voronoi.cc

(limited to 'voronoi.cc')

diff --git a/voronoi.cc b/voronoi.cc
new file mode 100644
index 0000000..4c864fd
--- /dev/null
+++ b/voronoi.cc
@@ -0,0 +1,126 @@
+#include <imgen.h>
+
+#include <cmath>
+#include <thread>
+#include <vector>
+#include <algorithm>
+
+std::ptrdiff_t minkowski_metric(
+	const double p,
+	const std::ptrdiff_t refX, const std::ptrdiff_t refY,
+	const std::ptrdiff_t x,    const std::ptrdiff_t y
+) {
+	return static_cast<std::ptrdiff_t>(
+		std::nearbyint(
+			std::pow(
+				std::pow(std::abs(refX - x), p) + std::pow(std::abs(refY - y), p),
+				1.0 / p
+			)
+		)
+	);
+}
+
+std::ptrdiff_t manhattan_metric(
+	const std::ptrdiff_t refX, const std::ptrdiff_t refY,
+	const std::ptrdiff_t x,    const std::ptrdiff_t y
+) {
+	return minkowski_metric(1, refX, refY, x, y);
+}
+
+std::ptrdiff_t euclidean_metric(
+	const std::ptrdiff_t refX, const std::ptrdiff_t refY,
+	const std::ptrdiff_t x,    const std::ptrdiff_t y
+) {
+	return minkowski_metric(2, refX, refY, x, y);
+}
+
+void generate_minkowski_voronoi(const double p) {
+	constexpr std::array<imgen::colored_vector, 9> ref{
+		imgen::colored_vector{   0,    0, imgen::red()                },
+		imgen::colored_vector{ 240,  200, imgen::color{220, 220, 220} },
+		imgen::colored_vector{-100,  230, imgen::color{ 94, 113, 106} },
+		imgen::colored_vector{ 120, -100, imgen::color{140, 146, 172} },
+		imgen::colored_vector{ -42, -200, imgen::color{128, 128, 128} },
+		imgen::colored_vector{ 120,   40, imgen::color{ 16,  20,  22} },
+		imgen::colored_vector{-150,   50, imgen::color{192, 192, 192} },
+		imgen::colored_vector{  60, -128, imgen::color{178, 190, 181} },
+		imgen::colored_vector{-240,  -20, imgen::color{ 54,  69,  79} }
+	};
+
+	imgen::write_ppm(
+		"voronoi_" + std::to_string(p) + ".ppm",
+		512,
+		512,
+		[&ref, p](std::ptrdiff_t x, std::ptrdiff_t y) -> imgen::color {
+			std::array<std::ptrdiff_t, 9> distances;
+
+			std::transform(
+				ref.begin(),
+				ref.end(),
+				distances.begin(),
+				[x, y, p](const imgen::colored_vector& pos) {
+				return minkowski_metric(p, std::get<0>(pos), std::get<1>(pos), x, y);
+			});
+
+			const auto& minimal_distance = std::min_element(
+				distances.begin(),
+				distances.end()
+			);
+			const imgen::colored_vector& nearest = ref[
+				std::distance(distances.begin(), minimal_distance)
+			];
+
+			if ( *minimal_distance <= 5 ) {
+				return imgen::black();
+			} else {
+				return std::get<2>(nearest);
+			}
+		}
+	);
+}
+
+void generate_minkowski_voronoi(
+	const double lower,
+	const double upper,
+	const double epsilon
+) {
+	const auto n{ std::nearbyint( ( upper - lower ) / epsilon) };
+
+	for ( std::size_t i = 0; i < n; ++i ) {
+		generate_minkowski_voronoi(lower + i * epsilon);
+	}
+}
+
+void generate_parallel_minkowski_voronoi(
+	const unsigned int thread_count,
+	const double       lower,
+	const double       upper,
+	const double       epsilon
+) {
+	std::vector<std::thread> threads;
+
+	const double step = ( upper - lower ) / thread_count;
+	double offset     = lower;
+
+	while ( threads.size() < thread_count ) {
+		threads.emplace_back([offset, step, epsilon]{
+			generate_minkowski_voronoi(
+				offset,
+				offset + step,
+				epsilon
+			);
+		});
+
+		offset += step;
+	}
+
+	generate_minkowski_voronoi(upper);
+
+	for ( auto& thread : threads ) {
+		thread.join();
+	}
+}
+
+int main(int, char*[]) {
+	generate_parallel_minkowski_voronoi(4, 1.0, 2.0, 0.025);
+}
-- 
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