163 lines
5.5 KiB
Zig
163 lines
5.5 KiB
Zig
const primesieve = @cImport({
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@cInclude("primesieve.h");
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});
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const std = @import("std");
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const mem = std.mem;
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pub fn main() !void {
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var t0 = try std.time.Timer.start();
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// ------------------------------------------------------- stdout
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const stdout = std.io.getStdOut().writer();
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// ---------------------------------------------------- allocator
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var arena = std.heap.ArenaAllocator.init(std.heap.page_allocator);
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defer arena.deinit();
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const allocator = arena.allocator();
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// --------------------------------------------------------------
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var counter = try Counter.init(allocator);
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defer counter.deinit();
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var sisyphus = try SisyphusSequenceGenerator.init();
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defer sisyphus.deinit();
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var number: u64 = undefined;
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for (0..10) |_| {
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for (0..10) |_| {
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number = try sisyphus.next();
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try counter.add(number);
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try stdout.print(" {d:3}", .{number});
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}
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try stdout.writeByte('\n');
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}
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try stdout.writeByte('\n');
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for ([_]usize{ 1_000, 10_000, 100_000, 1_000_000, 10_000_000, 100_000_000 }) |n| {
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while (counter.count != n) {
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number = try sisyphus.next();
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try counter.add(number);
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}
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try stdout.print(
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"{d:10}th member is {d:10} and highest prime needed is {d:9}\n",
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.{ n, number, sisyphus.prime },
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);
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}
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{
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try stdout.writeAll("\nThese numbers under 250 do not occur in the first 100,000,000 terms:\n");
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const missing = try counter.getMissing(allocator);
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defer allocator.free(missing);
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var sep: []const u8 = "";
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for (missing) |n| {
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try stdout.print("{s}{d}", .{ sep, n });
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sep = ", ";
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}
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try stdout.writeByte('\n');
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}
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{
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try stdout.writeAll("\nThese numbers under 250 occur the most in the first 100,000,000 terms:\n");
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const most = try counter.getMost(allocator);
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defer allocator.free(most.numbers);
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var sep: []const u8 = "";
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for (most.numbers) |n| {
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try stdout.print("{s}{d}", .{ sep, n });
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sep = ", ";
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}
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try stdout.print(" all occur {d} times.\n", .{most.max});
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}
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var count = counter.count; // Only need the count, not the found hashmap. Ditch counter.
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while (true) {
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number = try sisyphus.next();
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count += 1;
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if (number == 36) {
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try stdout.print(
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"\nMember {d} is {d} and highest prime needed is {d}\n",
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.{ count, number, sisyphus.prime },
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);
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break;
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}
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}
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try stdout.print("\nProcessed in {}\n", .{std.fmt.fmtDuration(t0.read())});
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}
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const SisyphusSequenceGeneratorError = error{
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PrimeSieveError,
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};
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const SisyphusSequenceGenerator = struct {
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it: primesieve.primesieve_iterator = undefined,
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next_: u64 = 1,
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prime: u64 = 0,
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fn init() !SisyphusSequenceGenerator {
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var si = SisyphusSequenceGenerator{};
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primesieve.primesieve_init(&si.it);
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return si;
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}
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fn deinit(self: *SisyphusSequenceGenerator) void {
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primesieve.primesieve_free_iterator(&self.it);
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}
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fn next(self: *SisyphusSequenceGenerator) SisyphusSequenceGeneratorError!u64 {
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const n = self.next_;
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if (self.next_ % 2 == 0) {
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self.next_ /= 2;
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} else {
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self.prime = primesieve.primesieve_next_prime(&self.it);
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if (self.it.is_error != 0 or self.prime == primesieve.PRIMESIEVE_ERROR)
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return SisyphusSequenceGeneratorError.PrimeSieveError;
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self.next_ += self.prime;
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}
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return n;
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}
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};
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const Counter = struct {
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found: std.AutoHashMap(u64, usize),
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count: usize = 0,
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fn init(allocator: mem.Allocator) !Counter {
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var found = std.AutoHashMap(u64, usize).init(allocator);
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try found.ensureTotalCapacity(250);
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for (1..250) |n|
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try found.put(@as(u64, n), 0);
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return Counter{ .found = found };
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}
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fn deinit(self: *Counter) void {
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self.found.deinit();
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}
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fn add(self: *Counter, n: u64) !void {
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self.count += 1;
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if (n < 250)
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self.found.getEntry(n).?.value_ptr.* += 1;
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}
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/// Caller owns returned slice memory.
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fn getMissing(self: *const Counter, allocator: mem.Allocator) ![]u64 {
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var missing_array = std.ArrayList(u64).init(allocator);
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var it = self.found.iterator();
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while (it.next()) |entry| {
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if (entry.value_ptr.* == 0)
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try missing_array.append(entry.key_ptr.*);
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}
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const missing = try missing_array.toOwnedSlice();
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mem.sort(u64, missing, {}, std.sort.asc(u64));
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return missing;
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}
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/// Caller owns returned 'numbers' slice memory.
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fn getMost(self: *const Counter, allocator: mem.Allocator) !struct { numbers: []u64, max: usize } {
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// Find the maximum count (there may be more than one at this value)
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var value_it = self.found.valueIterator();
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var max: usize = 0;
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while (value_it.next()) |count|
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max = @max(max, count.*);
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var most_array = std.ArrayList(u64).init(allocator);
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var it = self.found.iterator();
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while (it.next()) |entry| {
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if (entry.value_ptr.* == max)
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try most_array.append(entry.key_ptr.*);
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}
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const most = try most_array.toOwnedSlice();
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mem.sort(u64, most, {}, std.sort.asc(u64));
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return .{ .numbers = most, .max = max };
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}
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};
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