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September Morn Update

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Ingy döt Net 2019-09-12 10:33:56 -07:00
parent 4e2d22a71d
commit aac6731f2c
6856 changed files with 141342 additions and 21127 deletions
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221
Task/Almost-prime/ARM-Assembly/almost-prime.arm Normal file
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@ -0,0 +1,221 @@
/* ARM assembly Raspberry PI */
/* program kprime.s */
/************************************/
/* Constantes */
/************************************/
.equ STDOUT, 1 @ Linux output console
.equ EXIT, 1 @ Linux syscall
.equ WRITE, 4 @ Linux syscall
.equ MAXI, 10
.equ MAXIK, 5
/*********************************/
/* Initialized data */
/*********************************/
.data
sMessDeb: .ascii "k="
sMessValeurDeb: .fill 11, 1, ' ' @ size => 11
sMessResult: .ascii " "
sMessValeur: .fill 11, 1, ' ' @ size => 11
szCarriageReturn: .asciz "\n"
/*********************************/
/* UnInitialized data */
/*********************************/
.bss
/*********************************/
/* code section */
/*********************************/
.text
.global main
main: @ entry of program
mov r3,#1 @ k
1: @ start loop k
mov r0,r3
ldr r1,iAdrsMessValeurDeb
bl conversion10 @ call conversion decimal
ldr r0,iAdrsMessValeurDeb
mov r1,#':'
strb r1,[r0,#2] @ write : after k value
mov r1,#0
strb r1,[r0,#3] @ final zéro
ldr r0,iAdrsMessDeb
bl affichageMess @ display message
mov r4,#2 @ n
mov r5,#0 @ result counter
2: @ start loop n
mov r0,r4
mov r1,r3
bl kprime @ is kprine ?
cmp r0,#0
beq 3f @ no
mov r0,r4
ldr r1,iAdrsMessValeur
bl conversion10 @ call conversion decimal
ldr r0,iAdrsMessValeur
mov r1,#0
strb r1,[r0,#4] @ final zéro
ldr r0,iAdrsMessResult
bl affichageMess @ display message
add r5,#1 @ increment counter
3:
add r4,#1 @ increment n
cmp r5,#MAXI @ maxi ?
blt 2b @ no -> loop
ldr r0,iAdrszCarriageReturn
bl affichageMess @ display carriage return
add r3,#1 @ increment k
cmp r3,#MAXIK @ maxi ?
ble 1b @ no -> loop
100: @ standard end of the program
mov r0, #0 @ return code
mov r7, #EXIT @ request to exit program
svc #0 @ perform the system call
iAdrsMessValeur: .int sMessValeur
iAdrszCarriageReturn: .int szCarriageReturn
iAdrsMessResult: .int sMessResult
iAdrsMessValeurDeb: .int sMessValeurDeb
iAdrsMessDeb: .int sMessDeb
/******************************************************************/
/* compute kprime (n,k) */
/******************************************************************/
/* r0 contains n */
/* r1 contains k */
kprime:
push {r1-r7,lr} @ save registers
mov r5,r0 @ save n
mov r7,r1 @ save k
mov r4,#0 @ counter product
mov r1,#2 @ divisor
1: @ start loop
cmp r4,r7 @ counter >= k
bge 4f @ yes -> end
mul r6,r1,r1 @ compute product
cmp r6,r5 @ > n
bgt 4f @ yes -> end
2: @ start loop division
mov r0,r5 @ dividende
bl division @ by r1
cmp r3,#0 @ remainder = 0 ?
bne 3f @ no
mov r5,r2 @ yes -> n = n / r1
add r4,#1 @ increment counter
b 2b @ and loop
3:
add r1,#1 @ increment divisor
b 1b @ and loop
4: @ end compute
cmp r5,#1 @ n > 1
addgt r4,#1 @ yes increment counter
cmp r4,r7 @ counter = k ?
movne r0,#0 @ no -> no kprime
moveq r0,#1 @ yes -> kprime
100:
pop {r1-r7,lr} @ restaur registers
bx lr @return
/******************************************************************/
/* display text with size calculation */
/******************************************************************/
/* r0 contains the address of the message */
affichageMess:
push {r0,r1,r2,r7,lr} @ save registres
mov r2,#0 @ counter length
1: @ loop length calculation
ldrb r1,[r0,r2] @ read octet start position + index
cmp r1,#0 @ if 0 its over
addne r2,r2,#1 @ else add 1 in the length
bne 1b @ and loop
@ so here r2 contains the length of the message
mov r1,r0 @ address message in r1
mov r0,#STDOUT @ code to write to the standard output Linux
mov r7, #WRITE @ code call system "write"
svc #0 @ call systeme
pop {r0,r1,r2,r7,lr} @ restaur des 2 registres */
bx lr @ return
/******************************************************************/
/* Converting a register to a decimal unsigned */
/******************************************************************/
/* r0 contains value and r1 address area */
/* r0 return size of result (no zero final in area) */
/* area size => 11 bytes */
.equ LGZONECAL, 10
conversion10:
push {r1-r4,lr} @ save registers
mov r3,r1
mov r2,#LGZONECAL
1: @ start loop
bl divisionpar10U @ unsigned r0 <- dividende. quotient ->r0 reste -> r1
add r1,#48 @ digit
strb r1,[r3,r2] @ store digit on area
cmp r0,#0 @ stop if quotient = 0
subne r2,#1 @ else previous position
bne 1b @ and loop
@ and move digit from left of area
mov r4,#0
2:
ldrb r1,[r3,r2]
strb r1,[r3,r4]
add r2,#1
add r4,#1
cmp r2,#LGZONECAL
ble 2b
@ and move spaces in end on area
mov r0,r4 @ result length
mov r1,#' ' @ space
3:
strb r1,[r3,r4] @ store space in area
add r4,#1 @ next position
cmp r4,#LGZONECAL
ble 3b @ loop if r4 <= area size
100:
pop {r1-r4,lr} @ restaur registres
bx lr @return
/***************************************************/
/* division par 10 unsigned */
/***************************************************/
/* r0 dividende */
/* r0 quotient */
/* r1 remainder */
divisionpar10U:
push {r2,r3,r4, lr}
mov r4,r0 @ save value
ldr r3,iMagicNumber @ r3 <- magic_number raspberry 1 2
umull r1, r2, r3, r0 @ r1<- Lower32Bits(r1*r0) r2<- Upper32Bits(r1*r0)
mov r0, r2, LSR #3 @ r2 <- r2 >> shift 3
add r2,r0,r0, lsl #2 @ r2 <- r0 * 5
sub r1,r4,r2, lsl #1 @ r1 <- r4 - (r2 * 2) = r4 - (r0 * 10)
pop {r2,r3,r4,lr}
bx lr @ leave function
iMagicNumber: .int 0xCCCCCCCD
/***************************************************/
/* integer division unsigned */
/***************************************************/
division:
/* r0 contains dividend */
/* r1 contains divisor */
/* r2 returns quotient */
/* r3 returns remainder */
push {r4, lr}
mov r2, #0 @ init quotient
mov r3, #0 @ init remainder
mov r4, #32 @ init counter bits
b 2f
1: @ loop
movs r0, r0, LSL #1 @ r0 <- r0 << 1 updating cpsr (sets C if 31st bit of r0 was 1)
adc r3, r3, r3 @ r3 <- r3 + r3 + C. This is equivalent to r3 ? (r3 << 1) + C
cmp r3, r1 @ compute r3 - r1 and update cpsr
subhs r3, r3, r1 @ if r3 >= r1 (C=1) then r3 <- r3 - r1
adc r2, r2, r2 @ r2 <- r2 + r2 + C. This is equivalent to r2 <- (r2 << 1) + C
2:
subs r4, r4, #1 @ r4 <- r4 - 1
bpl 1b @ if r4 >= 0 (N=0) then loop
pop {r4, lr}
bx lr

26
Task/Almost-prime/Futhark/almost-prime.futhark
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@ -1,18 +1,18 @@
fun kprime(n: int, k: int): bool =
let kprime(n: i32, k: i32): bool =
let (p,f) = (2, 0)
loop ((n, p, f)) = while f < k && p*p <= n do
loop ((n,f)) = while 0 == n % p do
let (n,_,f) = loop (n, p, f) while f < k && p*p <= n do
let (n,f) = loop (n, f) while 0 == n % p do
(n/p, f+1)
in (n, p+1, f)
in f + (if n > 1 then 1 else 0) == k
fun main(m: int): [][]int =
map (fn k: [10]int =>
let ps = replicate 10 0
loop ((i,c,ps) = (2,0,ps)) = while c < 10 do
if kprime(i,k) then
unsafe let ps[c] = i
in (i+1, c+1, ps)
else (i+1, c, ps)
in ps)
(map (1+) (iota m))
let main(m: i32): [][]i32 =
let f k =
let ps = replicate 10 0
let (_,_,ps) = loop (i,c,ps) = (2,0,ps) while c < 10 do
if kprime(i,k) then
unsafe let ps[c] = i
in (i+1, c+1, ps)
else (i+1, c, ps)
in ps
in map f (1...m)

0
Task/Almost-prime/Julia/almost-prime.julia → Task/Almost-prime/Julia/almost-prime-1.julia
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17
Task/Almost-prime/Julia/almost-prime-2.julia Normal file
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@ -0,0 +1,17 @@
using Primes
isalmostprime(n::Integer, k::Integer) = sum(values(factor(n))) == k
function almostprimes(N::Integer, k::Integer) # return first N almost-k primes
P = Vector{typeof(k)}(undef,N)
i = 0; n = 2
while i < N
if isalmostprime(n, k) P[i += 1] = n end
n += 1
end
return P
end
for k in 1:5
println("$k-Almost-primes: ", join(almostprimes(10, k), ", "), "...")
end

26
Task/Almost-prime/Liberty-BASIC/almost-prime.liberty Normal file
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@ -0,0 +1,26 @@
for k = 1 to 5
print "k = "; k; ": ";
i = 2
c = 0
while c < 10
if kPrime(i, k) then
print using("###", i); " ";
c = c + 1
end if
i = i + 1
wend
print
next k
end
function kPrime(n, k)
f = 0
for i = 2 to n
while n mod i = 0
if f = k then kPrime = 0: exit function
f = f + 1
n = int(n / i)
wend
next i
kPrime = abs(f = k)
end function

0
Task/Almost-prime/Python/almost-prime.py → Task/Almost-prime/Python/almost-prime-1.py
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37
Task/Almost-prime/Python/almost-prime-2.py Normal file
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@ -0,0 +1,37 @@
# k-Almost-primes
# Python 3.6.3
# no imports
def prime_factors(m=2):
for i in range(2, m):
r, q = divmod(m, i)
if not q:
return [i] + prime_factors(r)
return [m]
def k_almost_primes(n, k=2):
multiples = set()
lists = list()
for x in range(k+1):
lists.append([])
for i in range(2, n+1):
if i not in multiples:
if len(lists[1]) < 10:
lists[1].append(i)
multiples.update(range(i*i, n+1, i))
print("k=1: {}".format(lists[1]))
for j in range(2, k+1):
for m in multiples:
l = prime_factors(m)
ll = len(l)
if ll == j and len(lists[j]) < 10:
lists[j].append(m)
print("k={}: {}".format(j, lists[j]))
k_almost_primes(200, 5)
# try:
#k_almost_primes(6000, 10)

6
Task/Almost-prime/Ruby/almost-prime-1.rb
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@ -2,11 +2,7 @@ require 'prime'
def almost_primes(k=2)
return to_enum(:almost_primes, k) unless block_given?
n = 0
loop do
n += 1
yield n if n.prime_division.map( &:last ).inject( &:+ ) == k
end
1.step {|n| yield n if n.prime_division.sum( &:last ) == k }
end
(1..5).each{|k| puts almost_primes(k).take(10).join(", ")}

37
Task/Almost-prime/Seed7/almost-prime.seed7 Normal file
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@ -0,0 +1,37 @@
$ include "seed7_05.s7i";
const func boolean: kprime (in var integer: number, in integer: k) is func
result
var boolean: kprime is FALSE;
local
var integer: p is 2;
var integer: f is 0;
begin
while f < k and p * p <= number do
while number rem p = 0 do
number := number div p;
incr(f);
end while;
incr(p);
end while;
kprime := f + ord(number > 1) = k;
end func;
const proc: main is func
local
var integer: k is 0;
var integer: number is 0;
var integer: count is 0;
begin
for k range 1 to 5 do
write("k = " <& k <& ":");
count := 0;
for number range 2 to integer.last until count >= 10 do
if kprime(number, k) then
write(" " <& number);
incr(count);
end if;
end for;
writeln;
end for;
end func;

32
Task/Almost-prime/VBA/almost-prime.vba Normal file
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@ -0,0 +1,32 @@
Private Function kprime(ByVal n As Integer, k As Integer) As Boolean
Dim p As Integer, factors As Integer
p = 2
factors = 0
Do While factors < k And p * p <= n
Do While n Mod p = 0
n = n / p
factors = factors + 1
Loop
p = p + 1
Loop
factors = factors - (n > 1) 'true=-1
kprime = factors = k
End Function
Private Sub almost_primeC()
Dim nextkprime As Integer, count As Integer
Dim k As Integer
For k = 1 To 5
Debug.Print "k ="; k; ":";
nextkprime = 2
count = 0
Do While count < 10
If kprime(nextkprime, k) Then
Debug.Print " "; Format(CStr(nextkprime), "@@@@@");
count = count + 1
End If
nextkprime = nextkprime + 1
Loop
Debug.Print
Next k
End Sub

44
Task/Almost-prime/Visual-Basic-.NET/almost-prime.visual Normal file
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@ -0,0 +1,44 @@
Module Module1
Class KPrime
Public K As Integer
Public Function IsKPrime(number As Integer) As Boolean
Dim primes = 0
Dim p = 2
While p * p <= number AndAlso primes < K
While number Mod p = 0 AndAlso primes < K
number = number / p
primes = primes + 1
End While
p = p + 1
End While
If number > 1 Then
primes = primes + 1
End If
Return primes = K
End Function
Public Function GetFirstN(n As Integer) As List(Of Integer)
Dim result As New List(Of Integer)
Dim number = 2
While result.Count < n
If IsKPrime(number) Then
result.Add(number)
End If
number = number + 1
End While
Return result
End Function
End Class
Sub Main()
For Each k In Enumerable.Range(1, 5)
Dim kprime = New KPrime With {
.K = k
}
Console.WriteLine("k = {0}: {1}", k, String.Join(" ", kprime.GetFirstN(10)))
Next
End Sub
End Module