From b80302fa3bfd7a3c129fe6cb75fe147b9505ec5a Mon Sep 17 00:00:00 2001
From: Neil Smith <neil.git@njae.me.uk>
Date: Wed, 12 Apr 2017 10:41:23 +0100
Subject: [PATCH] Modified primes library to load precomputed caches

---
 primes.rb          |      17 +-
 primes_1000000.txt | 1000000 +++++++++++++++++++++
 primes_2000000.txt | 2000000 +++++++++++++++++++++++++++++++++++++++++
 3 files changed, 3000013 insertions(+), 4 deletions(-)
 create mode 100644 primes_1000000.txt
 create mode 100644 primes_2000000.txt

diff --git a/primes.rb b/primes.rb
index b254fab..496e790 100644
--- a/primes.rb
+++ b/primes.rb
@@ -3,6 +3,7 @@
 # To use:
 # require 'primes.rb'
 # primes = Primes.instance
+# primes.load_primes 'primes_1000000.txt' # loads a file of precomputed primes
 # primes.take(20) # returns the first 20 primes
 # primes[10000]   # returns the 10,001st prime
 
@@ -14,14 +15,20 @@ class Primes
   attr_accessor :mod_candidates
 
   include Singleton
-
-  def initialize(sieve_limit = 10000)
+  
+  def initialize()
     # @primes = [2, 3, 5, 7, 11, 13, 17, 19, 23, 29]
-    @primes = sieve sieve_limit
+    @primes = sieve
     @cache_up_to = 30
     @mod_candidates = ((1..@cache_up_to).collect {|x| x}).select {|x| [2, 3, 5].all? {|p| x % p != 0}}
   end
 
+  def load_primes(cache_file)
+    if File.file?(cache_file)
+      @primes = File.readlines(cache_file).map {|l| l.chomp.to_i}
+    end
+  end
+
   def primes
     @primes.dup
   end
@@ -32,6 +39,8 @@ class Primes
     index = @primes.bsearch_index {|i| i > limit} || @primes.length
     while @primes[0..index].any? {|i| candidate % i == 0 }
       candidate = next_candidate(candidate)
+      limit = Math.sqrt(candidate).floor
+      index = @primes.bsearch_index {|i| i > limit} || @primes.length
     end
     candidate
   end
@@ -56,7 +65,7 @@ class Primes
   end
 
   def add_next_prime!
-    @primes.push next_prime
+    @primes << next_prime
   end
 
   # No longer needed: use Enumerable#take_while instead
diff --git a/primes_1000000.txt b/primes_1000000.txt
new file mode 100644
index 0000000..6c653aa
--- /dev/null
+++ b/primes_1000000.txt
@@ -0,0 +1,1000000 @@
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diff --git a/primes_2000000.txt b/primes_2000000.txt
new file mode 100644
index 0000000..bfdbf96
--- /dev/null
+++ b/primes_2000000.txt
@@ -0,0 +1,2000000 @@
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-- 
2.34.1