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4G以内的质数表生成程序仅主程序MATLAB代码
function cp()
time_slice=clock; % To record the time that process started.
% Author : 孙乙方
% Concise Prime
% Code Aim: Fast
% Time Spent on This Program: 56 Hours
% Time Limit: 60 Hours
% Techniques
% In IF syntax, 0 is faster than ~.
% When using counters, FOR loop is much more faster than WHILE loop.
% To Matlab Default Type DOUBLE (which is a dynamic file space consumption
% one), within range [-2^53,2^53], the best resolution is 1, on X32 and
% X64 machines.
% To FOR loop, the looping variable is DOUBLE type in INT32 range on X32 machines and
% in INT64 range on X64 machines.
% When x and y are both DOUBLE type, mod(x,y)=x-floor(x/y)*y, and the
% latter one is faster.
% Theorems
% Sieve of Eratosthenes
% Between n and 2*n, there must be one prime number. (n=1)
% Technologies
% 1-SuperConcise Technology, to make the code consise, in order to reduce
% errors and improve efficiency.
% 2-PreRetraction Technology, to retract the table to 2 and odd numbers
% before the computation begins to reduce time of process.
% 3-TypeDouble Technology, to use the DOUBLE datatype of Matlab to
% improve efficiency.
% 4-ConstantVM Technology, to use virtual memory file constantly to
% reduce code complexity.
% 5-QuickFile Technology, to use FWRITE function instead of SAVE
% function to improve file operation speed.
% 6-AvatarSwitch Technology, to use file as a switch instead of copying
% and deleting files.
% 7-SmartCounter Technology, to use smart counter variable to count the
% amount of new prime numbers on variable b side.
% 8-FileOnDemand Technology, to read data from file on demand to save
% time.
% Load Progress
load(INIT,vm_amount,ite_finished,direction,number_for_check,pos_for_check,data_tail,data_len,top);
% Variables
G41=4294967295; % 4G-1
M12 % 12M
% Prime Table Bou
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