Task: Emirp primes


C++: #include <vector>
#include <iostream>
#include <algorithm>
#include <sstream>
#include <string>
#include <cmath>

bool isPrime ( int number ) {
   if ( number <= 1 ) 
      return false ;
   if ( number == 2 )
      return true ;
   for ( int i = 2 ; i <= std::sqrt( number ) ; i++ ) {
      if ( number % i == 0 )
	 return false ;
   }
   return true ;
}

int reverseNumber ( int n ) {
   std::ostringstream oss ;
   oss << n ;
   std::string numberstring ( oss.str( ) ) ;
   std::reverse ( numberstring.begin( ) , numberstring.end( ) ) ;
   return std::stoi ( numberstring ) ;
}

bool isEmirp ( int n ) {
   return isPrime ( n ) && isPrime ( reverseNumber ( n ) )
      && n != reverseNumber ( n ) ;
}

int main( ) {
   std::vector<int> emirps ;
   int i = 1 ;
   while ( emirps.size( ) < 20 ) {
      if ( isEmirp( i ) ) {
         emirps.push_back( i ) ;
      }
      i++ ;
   }
   std::cout << "The first 20 emirps:\n" ;
   for ( int i : emirps ) 
      std::cout << i << " " ;
   std::cout << '\n' ;
   int newstart = 7700 ;
   while ( newstart < 8001 ) {
      if ( isEmirp ( newstart ) ) 
	std::cout << newstart << '\n' ;
      newstart++ ;
   }
   while ( emirps.size( ) < 10000 ) {
      if ( isEmirp ( i ) ) {
	 emirps.push_back( i ) ;
      }
      i++ ;
   }
   std::cout << "the 10000th emirp is " << emirps[9999] << " !\n" ;

   return 0 ;
}



Go: package main

import (
	"flag"
	"fmt"
	"github.com/jbarham/primegen.go" 
	"math"
)



type primeCache struct {
	gen    *primegen.Primegen
	primes []uint64
}

func NewPrimeCache() primeCache {
	g := primegen.New()
	return primeCache{gen: g, primes: []uint64{g.Next()}}
}



func (pc *primeCache) upto(n uint64) []uint64 {
	if p := pc.primes[len(pc.primes)-1]; p <= n {
		for p <= n {
			p = pc.gen.Next()
			pc.primes = append(pc.primes, p)
		}
		return pc.primes[:len(pc.primes)-1]
	}
	for i, p := range pc.primes {
		if p > n {
			return pc.primes[:i]
		}
	}
	panic("not reached")
}

var cache = NewPrimeCache()

func sqrt(x uint64) uint64 { return uint64(math.Sqrt(float64(x))) }



func isprime(n uint64) bool {
	for _, p := range cache.upto(sqrt(n)) {
		if n%p == 0 {
			return false
		}
	}
	return true
}

func reverse(n uint64) (r uint64) {
	for n > 0 {
		r = 10*r + n%10
		n /= 10
	}
	return
}


func isEmirp(n uint64) bool {
	r := reverse(n)
	return r != n && isprime(r)
}


type EmirpGen struct {
	pgen     *primegen.Primegen
	nextn    uint64
	r1l, r1h uint64
	r2l, r2h uint64
	r3l, r3h uint64
}

func NewEmirpGen() *EmirpGen {
	e := &EmirpGen{pgen: primegen.New()}
	e.Reset()
	return e
}

func (e *EmirpGen) Reset() {
	e.pgen.Reset()
	e.nextn = 0
	
	e.r1l, e.r1h = 20, 30
	e.r2l, e.r2h = 40, 70
	e.r3l, e.r3h = 80, 90
}

func (e *EmirpGen) next() (n uint64) {
	for n = e.pgen.Next(); !isEmirp(n); n = e.pgen.Next() {
		
		
		switch {
		case e.r1l <= n && n < e.r1h:
			e.pgen.SkipTo(e.r1h)
		case e.r2l <= n && n < e.r2h:
			e.pgen.SkipTo(e.r2h)
		case e.r3l <= n && n < e.r3h:
			e.pgen.SkipTo(e.r3h)
		case n > e.r3h:
			e.r1l *= 10
			e.r1h *= 10
			e.r2l *= 10
			e.r2h *= 10
			e.r3l *= 10
			e.r3h *= 10
		}
	}
	return
}

func (e *EmirpGen) Next() (n uint64) {
	if n = e.nextn; n != 0 {
		e.nextn = 0
		return
	}
	return e.next()
}

func (e *EmirpGen) Peek() uint64 {
	if e.nextn == 0 {
		e.nextn = e.next()
	}
	return e.nextn
}

func (e *EmirpGen) SkipTo(nn uint64) {
	e.pgen.SkipTo(nn)
	e.nextn = 0
	return
}



type SequenceGen interface {
	Next() uint64
	Peek() uint64
	Reset()
	SkipTo(uint64)
	
}

func main() {
	var start, end uint64
	var n, skip uint
	var oneline, primes bool
	flag.UintVar(&n, "n", math.MaxUint64, "number of emirps to print")
	flag.UintVar(&skip, "skip", 0, "number of emirps to skip")
	flag.Uint64Var(&start, "start", 0, "start at x>=start")
	flag.Uint64Var(&end, "end", math.MaxUint64, "stop at x<=end")
	flag.BoolVar(&oneline, "oneline", false, "output on a single line")
	flag.BoolVar(&primes, "primes", false, "generate primes rather than emirps")
	flag.Parse()

	sep := "\n"
	if oneline {
		sep = " "
	}

	
	var seq SequenceGen
	if primes {
		seq = primegen.New()
	} else {
		seq = NewEmirpGen()
	}

	for seq.Peek() < start {
		seq.Next()
	}
	for ; skip > 0; skip-- {
		seq.Next()
	}
	for ; n > 0 && seq.Peek() <= end; n-- {
		fmt.Print(seq.Next(), sep)
	}
	if oneline {
		fmt.Println()
	}
}