#! /usr/bin/env ruby
# -*- coding: UTF-8 -*-
#
require 'ayk/maths'
#
describe "Maths" do
    #
    PRIMES = [ 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97,
        101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199,
        211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293,
        307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397,
        401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499,
        503, 509, 521, 523, 541, 547, 557, 563, 569, 571, 577, 587, 593, 599,
        601, 607, 613, 617, 619, 631, 641, 643, 647, 653, 659, 661, 673, 677, 683, 691,
        701, 709, 719, 727, 733, 739, 743, 751, 757, 761, 769, 773, 787, 797,
        809, 811, 821, 823, 827, 829, 839, 853, 857, 859, 863, 877, 881, 883, 887,
        907, 911, 919, 929, 937, 941, 947, 953, 967, 971, 977, 983, 991, 997
    ]
    describe Math do
        it "check Math.prime? on 1..1000" do
            (0..1000).each do |n|
                if PRIMES.include? n
                    Math.prime?(n).should be_true
                else
                    Math.prime?(n).should be_false
                end
            end
        end
        it "check Math.prime" do
            Math.prime?( Math.prime 8).should be_true
        end
        it "check Math.sieve on 1..1000" do
            primes = Math.sieve 1000
            primes.length.should eql PRIMES.length
            primes.each do |p|
                PRIMES.include?(p).should be_true
            end
        end
        it "check Math.gcd" do
            Math.gcd(123,27).should eql 3
            Math.gcd(54,24).should eql 6
        end
    end
    describe Fixnum do
        it '#to_bytes #from_bytes should work' do
            16777700.should eql Bignum.from_bytes(16777700.to_bytes)
        end
        it '#bits' do
            (1..255).each do |n| n.bits.should eql 8 end
            (256..500).each do |n| n.bits.should eql 16 end
            (60000..60500).each do |n| n.bits.should eql 16 end
            (65536..66000).each do |n| n.bits.should eql 24 end
            (16777000..16777215).each do |n| n.bits.should eql 24 end
            (16777216..16777700).each do |n| n.bits.should eql 32 end
            (1073741000..1073741823).each do |n| n.bits.should eql 32 end
            (1073741000..1073741823).each do |n| n.should be_a Fixnum end
        end
    end
    describe Bignum do
        it '#to_bytes #from_bytes should work' do
            0x217962755220666f207463657073612074656577732061207369206d756e676942
            .should eql Bignum.from_bytes(0x217962755220666f207463657073612074656577732061207369206d756e676942.to_bytes)
        end
        it '#bits' do
            (1073741824..1073742000).each do |n| n.should be_a Bignum end
            (1073741824..1073742000).each do |n| n.bits.should eql 32 end
            (4294967000..4294967295).each do |n| n.bits.should eql 32 end
            (4294967296..4294967500).each do |n| n.bits.should eql 40 end
        end
    end
    #
end
#
#EOF