Just another update
This commit is contained in:
parent
a25938f123
commit
00a190b0a6
6591 changed files with 94363 additions and 23227 deletions
|
|
@ -1,99 +1,93 @@
|
|||
package main
|
||||
|
||||
import (
|
||||
"flag"
|
||||
"fmt"
|
||||
"math"
|
||||
"math/big"
|
||||
"os"
|
||||
"flag"
|
||||
"fmt"
|
||||
"log"
|
||||
"math"
|
||||
"math/big"
|
||||
"os"
|
||||
)
|
||||
|
||||
var ordinal int // ordinal of last sequence element to compute
|
||||
var sequenceMode bool // print the whole sequence or just one element?
|
||||
var (
|
||||
// print the whole sequence or just one element?
|
||||
|
||||
var lg3, lg5 float64 // precomputed base-2 logarithms for 3 and 5
|
||||
seqMode = flag.Bool("s", false, "sequence mode")
|
||||
// precomputed base-2 logarithms for 3 and 5
|
||||
lg3, lg5 float64 = math.Log2(3), math.Log2(5)
|
||||
|
||||
var table [][3]int16 // table for dynamic-programming stored results
|
||||
var front [3]cursor // state of the three multiplied sequences
|
||||
// state of the three multiplied sequences
|
||||
front = [3]cursor{
|
||||
{0, 0, 1}, // 2
|
||||
{1, 0, lg3}, // 3
|
||||
{2, 0, lg5}, // 5
|
||||
}
|
||||
|
||||
// table for dynamic-programming stored results
|
||||
table [][3]int16
|
||||
)
|
||||
|
||||
type cursor struct {
|
||||
f int // index (0, 1, 2) corresponding to factor (2, 3, 5)
|
||||
i int // index into table for the entry being multiplied
|
||||
lg float64 // base-2 logarithm of the multiple (for ordering)
|
||||
f int // index (0, 1, 2) corresponding to factor (2, 3, 5)
|
||||
i int // index into table for the entry being multiplied
|
||||
lg float64 // base-2 logarithm of the multiple (for ordering)
|
||||
}
|
||||
|
||||
func (c *cursor) value() [3]int16 {
|
||||
x := table[c.i]
|
||||
x[c.f]++ // multiply by incrementing the exponent
|
||||
return x
|
||||
func (c *cursor) val() [3]int16 {
|
||||
x := table[c.i]
|
||||
x[c.f]++ // multiply by incrementing the exponent
|
||||
return x
|
||||
}
|
||||
|
||||
func (c *cursor) advance() {
|
||||
c.i++
|
||||
// skip entries that would produce duplicates
|
||||
for (c.f < 2 && table[c.i][2] > 0) || (c.f < 1 && table[c.i][1] > 0) {
|
||||
c.i++
|
||||
}
|
||||
x := c.value()
|
||||
c.lg = float64(x[0]) + lg3*float64(x[1]) + lg5*float64(x[2])
|
||||
c.i++
|
||||
// skip entries that would produce duplicates
|
||||
for (c.f < 2 && table[c.i][2] > 0) || (c.f < 1 && table[c.i][1] > 0) {
|
||||
c.i++
|
||||
}
|
||||
x := c.val()
|
||||
c.lg = float64(x[0]) + lg3*float64(x[1]) + lg5*float64(x[2])
|
||||
}
|
||||
|
||||
func step() {
|
||||
table = append(table, front[0].value())
|
||||
front[0].advance()
|
||||
// re-establish sorted order
|
||||
if front[0].lg > front[1].lg {
|
||||
front[0], front[1] = front[1], front[0]
|
||||
if front[1].lg > front[2].lg {
|
||||
front[1], front[2] = front[2], front[1]
|
||||
}
|
||||
}
|
||||
table = append(table, front[0].val())
|
||||
front[0].advance()
|
||||
// re-establish sorted order
|
||||
if front[0].lg > front[1].lg {
|
||||
front[0], front[1] = front[1], front[0]
|
||||
if front[1].lg > front[2].lg {
|
||||
front[1], front[2] = front[2], front[1]
|
||||
}
|
||||
}
|
||||
}
|
||||
func show(elem [3]int16) {
|
||||
z := big.NewInt(1)
|
||||
for i, base := range []int64{2, 3, 5} {
|
||||
b := big.NewInt(base)
|
||||
x := big.NewInt(int64(elem[i]))
|
||||
z.Mul(z, b.Exp(b, x, nil))
|
||||
}
|
||||
fmt.Println(z)
|
||||
}
|
||||
|
||||
func fail(msg string) {
|
||||
fmt.Fprintf(os.Stderr, "%s: %s\n", os.Args[0], msg)
|
||||
os.Exit(1)
|
||||
}
|
||||
|
||||
func parse() {
|
||||
flag.Parse()
|
||||
if flag.NArg() != 1 {
|
||||
fail("need one argument")
|
||||
}
|
||||
_, err := fmt.Sscan(flag.Arg(0), &ordinal)
|
||||
if err != nil || ordinal <= 0 {
|
||||
fail("argument must be a positive integer")
|
||||
}
|
||||
}
|
||||
|
||||
func init() {
|
||||
flag.BoolVar(&sequenceMode, "s", false, "sequence mode")
|
||||
lg3 = math.Log2(3)
|
||||
lg5 = math.Log2(5)
|
||||
front = [3]cursor{
|
||||
{0, 0, 1}, // 2
|
||||
{1, 0, lg3}, // 3
|
||||
{2, 0, lg5}, // 5
|
||||
}
|
||||
z := big.NewInt(1)
|
||||
for i, base := range []int64{2, 3, 5} {
|
||||
b := big.NewInt(base)
|
||||
x := big.NewInt(int64(elem[i]))
|
||||
z.Mul(z, b.Exp(b, x, nil))
|
||||
}
|
||||
fmt.Println(z)
|
||||
}
|
||||
|
||||
func main() {
|
||||
parse()
|
||||
table = make([][3]int16, 1, ordinal)
|
||||
for i, n := 1, ordinal; i < n; i++ {
|
||||
if sequenceMode {
|
||||
show(table[i-1])
|
||||
}
|
||||
step()
|
||||
}
|
||||
show(table[ordinal-1])
|
||||
log.SetPrefix(os.Args[0] + ": ")
|
||||
log.SetOutput(os.Stderr)
|
||||
flag.Parse()
|
||||
if flag.NArg() != 1 {
|
||||
log.Fatalln("need one positive integer argument")
|
||||
}
|
||||
var ordinal int // ordinal of last sequence element to compute
|
||||
_, err := fmt.Sscan(flag.Arg(0), &ordinal)
|
||||
if err != nil || ordinal <= 0 {
|
||||
log.Fatalln("argument must be a positive integer")
|
||||
}
|
||||
table = make([][3]int16, 1, ordinal)
|
||||
for i, n := 1, ordinal; i < n; i++ {
|
||||
if *seqMode {
|
||||
show(table[i-1])
|
||||
}
|
||||
step()
|
||||
}
|
||||
show(table[ordinal-1])
|
||||
}
|
||||
|
|
|
|||
Loading…
Add table
Add a link
Reference in a new issue