Convert desimal number to 7 bit binary number in dart - dart

I need to convert desimal number to 7 bit binary. Like the binary of 11(desimal) is 001011.
I did found a solution in starkoverflow but it doesn't work like i want
String dec2bin(int dec) {
var bin = '';
while (dec > 0) {
bin = (dec % 2 == 0 ? '0' : '1') + bin;
dec ~/= 2;
}
return bin;
}
it returns 1011, cuts all the zeros before 1011
How can i solve that?

Just use padLeft on the String before returning it to make sure it is a minimum length prefixed with zeros. Also, your dec2bin method can be simplified into just using toRadixString(2) on your input integer. So something like this:
String dec2bin(int dec) => dec.toRadixString(2).padLeft(6, '0');
void main() {
print(dec2bin(11)); // 001011
}

Related

Reliable way of getting the exact decimals from any number

I'm having problem returning spesific amount of decimal numbers from this function, i would like it to get that info from "dec" argument, but i'm stuck with this right now.
Edit: Made it work with the edited version bellow but isn't there a better way?
local function remove_decimal(t, dec)
if type(dec) == "number" then
for key, num in pairs(type(t) == "table" and t or {}) do
if type(num) == "number" then
local num_to_string = tostring(num)
local mod, d = math.modf(num)
-- find only decimal numbers
local num_dec = num_to_string:sub(#tostring(mod) + (mod == 0 and num < 0 and 3 or 2))
if dec <= #num_dec then
-- return amount of deciamls in the num by dec
local r = d < 0 and "-0." or "0."
local r2 = r .. num_dec:sub(1, dec)
t[key] = mod + tonumber(r2)
end
end
end
end
return t
end
By passing the function bellow i want a result like this:
result[1] > 0.12
result[2] > -0.12
result[3] > 123.45
result[4] > -1.23
local result = remove_decimal({0.123, -0.123, 123.456, -1.234}, 2)
print(result[1])
print(result[2])
print(result[3])
print(result[4])
I tried this but it seems to only work with one integer numbers and if number is 12.34 instead of 1.34 e.g, the decimal place will be removed and become 12.3. Using other methods
local d = dec + (num < 0 and 2 or 1)
local r = tonumber(num_to_string:sub(1, -#num_to_string - d)) or 0
A good approach is to find the position of the decimal point (the dot, .) and then extract a substring starting from the first character to the dot's position plus how many digits you want:
local function truncate(number, dec)
local strnum = tostring(number)
local i, j = string.find(strnum, '%.')
if not i then
return number
end
local strtrn = string.sub(strnum, 1, i+dec)
return tonumber(strtrn)
end
Call it like this:
print(truncate(123.456, 2))
print(truncate(1234567, 2))
123.45
1234567
To bulk-truncate a set of numbers:
local function truncate_all(t, dec)
for key, value in pairs(t) do
t[key] = truncate(t[key], dec)
end
return t
end
Usage:
local result = truncate_all({0.123, -0.123, 123.456, -1.234}, 2)
for key, value in pairs(result) do
print(key, value)
end
1 0.12
2 -0.12
3 123.45
4 -1.23
One could use the function string.format which is similar to the printf functions from C language. If one use the format "%.2f" the resulting string will contain 2 decimals, if one use "%.3f" the resulting string will be contain 3 decimals, etc. The idea is to dynamically create the format "%.XXXf" corresponding to the number of decimal needed by the function. Then call the function string.format with the newly created format string to generate the string "123.XXX". The last step would be to convert back the string to a number with the function tonumber.
Note that if one want the special character % to be preserved when string.format is called, you need to write %%.
function KeepDecimals (Number, DecimalCount)
local FloatFormat = string.format("%%.%df", DecimalCount)
local String = string.format(FloatFormat, Number)
return tonumber(String)
end
The behavior seems close to what the OP is looking for:
for Count = 1, 5 do
print(KeepDecimals(1.123456789, Count))
end
This code should print the following:
1.1
1.12
1.123
1.1235
1.12346
Regarding the initial code, it's quite straight-forward to integrate the provided solution. Note that I renamed the function to keep_decimal because in my understanding, the function will keep the requested number of decimals, and discard the rest.
function keep_decimal (Table, Count)
local NewTable = {}
local NewIndex = 1
for Index = 1, #Table do
NewTable[NewIndex] = KeepDecimal(Table[Index], Count)
NewIndex = NewIndex + 1
end
return NewTable
end
Obviously, the code could be tested easily, simply by copy and pasting into a Lua interpreter.
Result = keep_decimal({0.123, -0.123, 123.456, -1.234}, 2)
for Index = 1, #Result do
print(Result[Index])
end
This should print the following:
0.12
-0.12
123.46
-1.23
Edit due to the clarification of the need of truncate:
function Truncate (Number, Digits)
local Divider = Digits * 10
local TruncatedValue = math.floor(Number * Divider) / Divider
return TruncatedValue
end
On my computer, the code is working as expected:
> Truncate(123.456, 2)
123.45

Is there a more succinct way of performing the same task below? Rounding down to nearest 1 or 5mod6

var n = 27;
void main() {
while (n>=5)
if ( (n) % 3==0 && (n) % 2==0 ){
print(n-1);
break;
}
else if ( (n) % 3==0 && (n) % 2!=0 ){
print(n-2);
break;
}
else if ((n) % 3!=0 && (n) % 2==0){
print((n/6).floor()*6 +(1));
break;
}
else { n=n+1;}
}
I was looking for a way to have an input reduced to the nearest 1 or 5mod6 (for n>=5) and came up with the code above in Dart (project is in flutter). Does anyone have any better way of doing the same thing?
The result (rounded down input) will then be passed to another function.
For the current n value of 27 the console will print 25... try other values 24 maps to 23, 23 to itself, 22,21,20 to 19, 19 to itself, 18 to 17, 17 to itself, 16,15,14 to 13.....and I hope you get the idea.
I would get rid of the loop by finding the next lower multiple of 6 and then adding 1 or 5. The code ends up being shorter, and I think it expresses your intent much more clearly than code involving % 3 and % 2.
int lowerMultiple(int n, int multipleOf) =>
((n - 1) / multipleOf).floor() * multipleOf;
void main() {
var n = 27;
var m = lowerMultiple(n, 6);
print((n - m) >= 5 ? (m + 5) : (m + 1));
}
The above code should work for integers less than 5 as well, including non-positive ones.

not correct num histgram

Im trying to make a toString method that prints out a histogram that shows how often each character of the alphabet is used in a string. The most frequent character has to be 60 #s long, with the rest of the characters then scaled to match.
My issue is with making the equation that scales the rest of the letters to the correct length for the histogram. My current equation is (myArray[i]/max) * 60, but im getting really weird results.
If I put in "hello world" to be analyzed, L would be the most common occuring letter, seen 3 times. So L should have 60 #s for the histogram, h should have 20, o should have 40 etc. Instead im getting results like d : 10
e : 10
h : 10
l : 360
o : 20
r : 10
w : 10
Sorry for how sloppy this is right now, im just trying to figure out whats going on
public class LetterCounter
private static int[] alphabetArray;
private static String input;
/**
* Constructor for objects of class LetterCounter
*/
public LetterCounter()
{
alphabetArray = new int[26];
}
public void countLetters(String input) {
this.input = input;
this.input.toLowerCase();
//String s= input;
//s.toLowerCase();
for ( int i = 0; i < input.length(); i++ ) {
char ch= input.charAt(i);
if (ch >= 97 && ch <= 122){
alphabetArray[ch-'a']++;
}
}
}
public void getTotalCount() {
for (int i = 0; i < alphabetArray.length; i++) {
if(alphabetArray[i]>=0){
char ch = (char) (i+97);
System.out.println(ch +" : "+alphabetArray[i]);
}
}
}
public void reset() {
for (int i =0; i<alphabetArray.length; i++) {
if(alphabetArray[i]>=0){
alphabetArray[i]=0;
char ch = (char) (i+97);
System.out.println(ch +" : "+alphabetArray[i]);
}
}
}
public String toString() {
String s = "";
int max = alphabetArray[0];
int markCounter = 0;
for(int i =0; i<alphabetArray.length; i++) {
//finds the largest number of occurences for any letter in the string
if(alphabetArray[i] > max) {
max = alphabetArray[i];
}
}
for(int i =0; i<alphabetArray.length; i++) {
//trying to scale the rest of the characters down here
if(alphabetArray[i] > 0) {
markCounter = (alphabetArray[i] / max) * 60;
char ch = (char) (i+97);
System.out.println(ch +" : "+alphabetArray[i] + markCounter);
}
}
for (int i = 0; i < alphabetArray.length; i++) {
//prints the whole alphabet, total number of occurences for all chars
if(alphabetArray[i]>=0){
char ch = (char) (i+97);
System.out.println(ch +" : "+alphabetArray[i]);
}
}
return s;
}
}
There are many many problems with your code, but lets go one by one.
First of all, your print statement is simply misleading. Change it to
System.out.println(ch +" : "+alphabetArray[i] + " " + markCounter);
and you will see
d : 1 0
e : 1 0
h : 1 0
l : 3 60
o : 2 0
r : 1 0
w : 1 0
As you can see: the counters are correct (1,1,1,3,2,1,1). But the your scaling doesn't work:
1 / 3 --> 0 ... and 0 * 3 ... is still 0
3 / 3 --> 1 and 1 * 3 ... is 60
but of course, when you dont print a space between 1 and 0 and 3 and 60.
Thus to get correct scaling, just change to:
markCounter = alphabetArray[i] * 60 / max;
Other things worth mentioning:
You are overriding toString(). Then you should put #Override in fron t of that method
toLowerCase() returns a new string in lower case; just calling it without pushing the result back into your string ... just throws away the "lower casing".
toString() shouldnt print to the console. The whole idea is that you put all the information into the string that you return. In other words: in the end you do some System.out.println(someLetterCounter.toString()
Your code is extremely low-level. You don't iterate arrays using for (int), you can do (int letter : alphabetArray) instead
You might want to read about Map. You see, if you would be using a Map<Character, Integer> where the map key would represent the different characters, and the map value represents a counter for each character ... well, you could throw out most of your code; and come up with a solution that would require a few lines of code only!
( and seriously: because of all these issues, debugging your code was really much harder than it needed to be )
countLetters seems has some issues. You can not convert String to lowercase by just calling
this.input.toLowerCase();
Because String is immutable in java. You have to assign it like:
this.input = input.toLowerCase();
Another problem is you are using input variable from parameter instead of this.input which has lower case string. You can do this way to make work countLetters method:
public void countLetters(String input) {
this.input = input.toLowerCase();
for ( int i = 0; i < this.input.length(); i++ ) {
char ch= this.input.charAt(i);
if (ch >= 97 && ch <= 122) {
alphabetArray[ch-'a']++;
}
}
}

Huffman's encoding and decoding

I have to build a compressor based on the Huffman algorithm.
So far, I managed to create the tree with the frequencies of each character and generate a representation with a smaller number of bits for each character.
Is something like this, for the phrase "good this sugarplum":
'o' 000, '' 001, 't' 0100, 'r' 0101, 'p' 0110, 'm' 0111, 'l' 1000, 'i' 1001, 'h' 1010, 'd' 1011, 'a'1100, 'u' 1101, 'g' 1110, 's' 1111
The problem I'm having now is finding a way to save the tree in the archive, so I can rebuild it and then decompress the file.
Any suggestions?
I did some research but found it difficult to understand, so if you can explain in detail, I would appreciate it.
The code I used to read the frequencies from file is:
int main (int argc, char *argv[])
{
int i;
TipoSentinela *sentinela;
TipoLista *no = NULL;
Arv *arvore, *arvore2, *arvore3;
int *repete = (int *) calloc (256, sizeof(int));
if(argc == 2)
{
in = load_base(argv[1]);
le_dados_arquivo (repete); //read the frequencies from the file
sentinela = cria_lista (); //create a marker for the tree node list
for (i = 0; i < 256; i++)
{
if(repete[i] > 0 && i != 0)
{
arvore = arv_cria (Cria_info (i, repete[i])); //create a tree node with the character i and the frequence of it in the file
no = inicia_lista (arvore, no, sentinela); //create the list of tree nodes
}
}
Ordena (sentinela); //sort the tree nodes list by the frequencies
for(Seta_primeiro(sentinela); Tamanho_lista(sentinela) != 1; Move_marcador(sentinela))
{
Seta_primeiro(sentinela); //put the marker in the first element of the list
no = Retorna_marcador(sentinela);
arvore2 = Retorna_arvore (no); //return the tree represented by the list marker
Move_marcador(sentinela); //put the marker to the next element
arvore3 = Retorna_arvore (Retorna_marcador (sentinela)); //return the tree represented by the list marker
arvore = Cria_pai (arvore2, arvore3); //create a tree node that will contain the both arvore2 and arvore3
Insere_arvoreFinal (sentinela, arvore); //insert the node at the end of the list
Remove_arvore (sentinela); //remove the node arvore2 from the list
Remove_arvore (sentinela); //remove the node arvore3 from the lsit
Ordena (sentinela); //sort the list again
}
out = load_out(argv[1]); //open the output file
Codificacao (arvore); //generate the code from each node of the tree
rewind(in);
char c;
while(!feof(in))
{
c = fgetc(in);
if(c != EOF)
arvore2 = Procura_info (arvore, c); //search the character c in the tree
if(arvore2 != NULL)
imprimebit(Retorna_codigo(arvore2), out); //write the code in the file
}
fclose(in);
fclose(out);
free(repete);
arvore = arv_libera (arvore);
Libera_Lista(sentinela);
}
return 0;
}
//bit_counter and cur_byte are global variables
void write_bit (unsigned char bit, FILE *f)
{
static k = 0;
if(k != 0)
{
if(++bit_counter == 8)
{
fwrite(&cur_byte,1,1,f);
bit_counter = 0;
cur_byte = 0;
}
}
k = 1;
cur_byte <<= 1;
cur_byte |= ('0' != bit);
}
//aux is the code of a character in the tree
void imprimebit(char *aux, FILE *f)
{
int i, j;
if(aux == NULL)
return;
for(i = 0; i < strlen(aux); i++)
{
write_bit(aux[i], f); //write the bits of the code in the file
}
}
With this, I can write the code of all characters in the output file, but I can't see a way to store the tree too.
You don't need to send the tree. Just send the lengths. Then establish a consistent algorithm to convert the lengths to codes on both ends. The consistency is called a "canonical" Huffman code. You sort the codes by length, and within each length, sort by the symbol. Then assign codes starting at 0. So you would end up with (_ means space):
_ 000
o 001
a 0100
d 0101
g 0110
h 0111
i 1000
l 1001
m 1010
p 1011
r 1100
s 1101
t 1110
u 1111
I did found a way to store the code of each character.
For example:
I write the tree, starting by the root and going down to the left, then right.
So, if my tree was something like
0
/ \
0 1
/ \ / \
'a' 'b' 'c' 'd'
The header of my file would be someting like this:
001[8 bits from 'a']1[8 bits from b]01[8 bits from c]1[8 bits from d]
With this, I would be able to rebuild my tree.
My problem now is in read bit-by-bit of the header of file to know in wich direction I have to create a new node.

How can I do mod without a mod operator?

This scripting language doesn't have a % or Mod(). I do have a Fix() that chops off the decimal part of a number. I only need positive results, so don't get too robust.
Will
// mod = a % b
c = Fix(a / b)
mod = a - b * c
do? I'm assuming you can at least divide here. All bets are off on negative numbers.
a mod n = a - (n * Fix(a/n))
For posterity, BrightScript now has a modulo operator, it looks like this:
c = a mod b
If someone arrives later, here are some more actual algorithms (with errors...read carefully)
https://eprint.iacr.org/2014/755.pdf
There are actually two main kind of reduction formulae: Barett and Montgomery. The paper from eprint repeat both in different versions (algorithms 1-3) and give an "improved" version in algorithm 4.
Overview
I give now an overview of the 4. algorithm:
1.) Compute "A*B" and Store the whole product in "C" that C and the modulus $p$ is the input for that algorithm.
2.) Compute the bit-length of $p$, say: the function "Width(p)" returns exactly that value.
3.) Split the input $C$ into N "blocks" of size "Width(p)" and store each in G. Start in G[0] = lsb(p) and end in G[N-1] = msb(p). (The description is really faulty of the paper)
4.) Start the while loop:
Set N=N-1 (to reach the last element)
precompute $b:=2^{Width(p)} \bmod p$
while N>0 do:
T = G[N]
for(i=0; i<Width(p); i++) do: //Note: that counter doesn't matter, it limits the loop)
T = T << 1 //leftshift by 1 bit
while is_set( bit( T, Width(p) ) ) do // (N+1)-th bit of T is 1
unset( bit( T, Width(p) ) ) // unset the (N+1)-th bit of T (==0)
T += b
endwhile
endfor
G[N-1] += T
while is_set( bit( G[N-1], Width(p) ) ) do
unset( bit( G[N-1], Width(p) ) )
G[N-1] += b
endwhile
N -= 1
endwhile
That does alot. Not we only need to recursivly reduce G[0]:
while G[0] > p do
G[0] -= p
endwhile
return G[0]// = C mod p
The other three algorithms are well defined, but this lacks some information or present it really wrong. But it works for any size ;)
What language is it?
A basic algorithm might be:
hold the modulo in a variable (modulo);
hold the target number in a variable (target);
initialize modulus variable;
while (target > 0) {
if (target > modulo) {
target -= modulo;
}
else if(target < modulo) {
modulus = target;
break;
}
}
This may not work for you performance-wise, but:
while (num >= mod_limit)
num = num - mod_limit
In javascript:
function modulo(num1, num2) {
if (num2 === 0 || isNaN(num1) || isNaN(num2)) {
return NaN;
}
if (num1 === 0) {
return 0;
}
var remainderIsPositive = num1 >= 0;
num1 = Math.abs(num1);
num2 = Math.abs(num2);
while (num1 >= num2) {
num1 -= num2
}
return remainderIsPositive ? num1 : 0 - num1;
}

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