From 17642366d269dcfd702d7d51844d4d5f2c34b0b1 Mon Sep 17 00:00:00 2001 From: datalore Date: Mon, 30 Sep 2024 00:34:45 +0200 Subject: [PATCH] Initial commit --- .gitignore | 2 + README.md | 18 + go.mod | 3 + main.go | 223 + prime.txt | 4118064 +++++++++++++++++++++++++++++++++++++++++++++++++ 5 files changed, 4118310 insertions(+) create mode 100644 .gitignore create mode 100644 README.md create mode 100644 go.mod create mode 100644 main.go create mode 100644 prime.txt diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..3c2dea6 --- /dev/null +++ b/.gitignore @@ -0,0 +1,2 @@ +.tags +prime-div diff --git a/README.md b/README.md new file mode 100644 index 0000000..a10fcaf --- /dev/null +++ b/README.md @@ -0,0 +1,18 @@ +# prime-div + +This tool was originally written to display any natural number as a sum of prime numbers, but it is also a efficient tool to calculate prime numbers. + +## Prime number calculation + +The known list of prime numbers are saved in `prime.txt` in string representation, one prime per line. The program loads this file, begins at the next larger integer, and checks if it is divisible by any of the known primes. If not it is added to the list. Repeat with the next larger integer, and so on. + +The check is performed in parallel using multiple striding goroutines. + +## Usage + +`prime-div [flags] ` + +Flags: + +- `-p`: Calculate and save prime list up to the given number. If not given, the given number will be split into primes. If not all necessary prime numbers are in the list, the necessary primes will be calculated before, but they will not be saved. +- `-d`: Don't load `prime.txt`. This results in calculation starting from zero. diff --git a/go.mod b/go.mod new file mode 100644 index 0000000..69b4248 --- /dev/null +++ b/go.mod @@ -0,0 +1,3 @@ +module datalore/prime-div + +go 1.23.0 diff --git a/main.go b/main.go new file mode 100644 index 0000000..2d46a7e --- /dev/null +++ b/main.go @@ -0,0 +1,223 @@ +package main + +import ( + "bufio" + "context" + "flag" + "fmt" + "log" + "os" + "strconv" + "time" +) + +func calculateProgress(start, end, step, index int) float32 { + steps := (end - start) / step + current := index - start + if current == 0 { + return 0 + } + return float32(current) / float32(steps) +} + +func printProgress(progress <-chan float32, message string) { + for { + time.Sleep(time.Second) + p, channelOpen := <-progress + if !channelOpen { + break + } + fmt.Printf("%s %.2f%%\n", message, p*100) + } +} + +func checkIsDivisibleByPrime(number, offset, stride int, primes *[]int, resultChannel chan bool, ctx context.Context) { + for i := offset; i < len(*primes); i += stride { + select { + case <-ctx.Done(): + resultChannel <- false + return + default: + // only have to check primes, because all other numbers are multiple of primes. + // if a number is divisible by a multiple of a prime, it is by definition also divisible by the prime itself. + if number % (*primes)[i] == 0 { + resultChannel <- true + return + } + } + } + resultChannel <- false +} + +func generatePrimes(upperLimit int, loadList bool) []int { + var primes []int + + if loadList { + primes = loadPrimes() + } else { + primes = []int{2, 3, 5} + } + + progress := make(chan float32) + go printProgress(progress, "Generating primes") + + startTime := time.Now() + + for i := (primes[len(primes) - 1] + 1); i <= upperLimit; i++ { + select { + case progress <- calculateProgress(6, upperLimit, 1, i): + default: + } + + isPrime := true + + checkCtx, checkCancel := context.WithCancel(context.Background()) + resultChannel := make(chan bool) + numRoutines := 12 + + for r := 0; r < numRoutines; r++ { + go checkIsDivisibleByPrime(i, r, numRoutines, &primes, resultChannel, checkCtx) + } + + for r := 0; r < numRoutines; r++ { + if <-resultChannel { + isPrime = false + checkCancel() + // can't break here, because all channel writes have to be read to avoid deadlocks + } + } + + if isPrime { + primes = append(primes, i) + } + } + close(progress) + + endTime := time.Now() + + fmt.Printf("Prime generation took %v\nLargest prime found: %d\nTotal prime number count: %d\n", endTime.Sub(startTime), primes[len(primes) - 1], len(primes)) + + return primes +} + +func calculatePrimeParts(number int, primes []int) []int { + // don't calculate if number is a prime itself + if primes[len(primes)-1] == number { + return []int{number} + } + + progress := make(chan float32) + + go printProgress(progress, "Calculating") + + var primeParts []int + + for i := len(primes) - 1; i >= 0; i-- { + select { + case progress <- 1.0 - calculateProgress(0, len(primes) - 1, 1, i): + default: + } + flooredDiv := number / primes[i] + if flooredDiv == 0 { + continue + } + primeParts = append(primeParts, primes[i]) + number = number - (flooredDiv * primes[i]) + if number == 0 { + break + } + } + close(progress) + if number != 0 { + primeParts = append(primeParts, 1) + } + return primeParts +} + +func main() { + var primeList bool + var dontLoad bool + + flag.BoolVar(&primeList, "p", false, "Only calculate and print prime list") + flag.BoolVar(&dontLoad, "d", false, "Don't load precalculated primes, calculate from 0") + flag.Parse() + numStr := flag.Arg(0) + + if numStr == "" { + fmt.Printf("Usage: %s [-p|d] \n", os.Args[0]) + flag.PrintDefaults() + return + } + + number, err := strconv.Atoi(numStr) + if err != nil { + log.Fatal(err) + } + + if primeList { + onlyGenerate(number, dontLoad) + } else { + calculate(number, dontLoad) + } +} + +func onlyGenerate(number int, dontLoad bool) { + primes := generatePrimes(number, !dontLoad) + + file, err := os.Create("prime.txt") + if err != nil { + log.Fatal(err) + } + + writer := bufio.NewWriter(file) + + for _, prime := range primes { + writer.WriteString(fmt.Sprintf("%d\n", prime)) + } + + writer.Flush() + file.Close() +} + +func calculate(number int, dontLoad bool) { + primes := generatePrimes(number, !dontLoad) + + primeParts := calculatePrimeParts(number, primes) + + sum := 0 + + for i, prime := range primeParts { + sum += prime + print(prime) + + // if not last element + if i < len(primeParts) - 1 { + print(" + ") + } + } + print(" = ") + println(sum) +} + +func loadPrimes() []int { + file, err := os.Open("prime.txt") + if err != nil { + log.Fatal(err) + } + + var primes []int + + scanner := bufio.NewScanner(file) + + for scanner.Scan() { + nextPrime, err := strconv.Atoi(scanner.Text()) + if err != nil { + log.Fatal(err) + } + primes = append(primes, nextPrime) + } + + file.Close() + + return primes +} diff --git a/prime.txt b/prime.txt new file mode 100644 index 0000000..7231b3c --- /dev/null +++ b/prime.txt @@ 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