How to generate random even numbers between a given interval? - c++

I want to get a set of random even numbers between 50 and 100, and this is what I wrote:
int x;
x=(2*(50+rand()%(100-50+1)));
when I output this, I get
186
166
112
190
150
160
146
104
194
168
194
178
102
200
192
130
168
134
146
184
136
which are not in between 50 and 100...why?
thanks for helping me!

Your computation is wrong, you ask for 2 times a number between 50 and 100.
Go with
x = 2 * ( rand() % 25 ) + 50

int x;
x=50+(2*(rand()%(26)));

X = rand()%(upper-lower+1) + lower
In your case : x = rand()%51 + 50

Related

How can I get N distinct spectrum-like colors in Qt with starting color RED and ending color BLUE

Initially, I thought it can be easily implemented using a single for-loop with pre-calculated step size.
// blue = (240, 255, 255)
// red = (0, 255, 255)
const int step = (240 - 0) / (N - 1);
QColor color;
for (int i = 0; i < N; ++i)
{
color.setHsv(i * step, 255, 255);
}
But as N grows larger, the ending color may not be what I expected.
For example (N == 82), ending color is hsv(162, 255, 255) instead of hsv(240, 255, 255).
My intention is to 1) generate N distinct color, 2) spectrum-like, 3) starts in RED and ends in BLUE.
Should I take S, V into consideration for my requirement as well?
Right now, you're choosing an integer step, and adding it to get from the smallest to the largest value. This has the advantage of spacing the hues evenly. But as you've observed, it has the disadvantage of getting the range wrong (possibly quite badly wrong) at times.
If you're willing to sacrifice a little in the way of the spacing of hues being perfectly even to get closer to filling the specified range, you can compute the step as a floating point number, do floating point multiplication, and round (or truncate) afterwards.
std::vector<int> interpolate_range(int lower, int upper, int step_count) {
double step = (upper - lower) / (step_count - 1.0);
std::vector<int> ret;
for (int i=0; i<step_count; i++) {
// step is a double, so `double * i` is done in floating
// point, then the result is truncated to be pushed into
// ret.
ret.push_back(step * i);
}
return ret;
}
Skipping the other color components, and just printing out these values, we get this:
0 2 5 8 11 14 17 20 23 26
29 32 35 38 41 44 47 50 53 56
59 62 65 68 71 74 77 80 82 85
88 91 94 97 100 103 106 109 112 115
118 121 124 127 130 133 136 139 142 145
148 151 154 157 160 162 165 168 171 174
177 180 183 186 189 192 195 198 201 204
207 210 213 216 219 222 225 228 231 234
237 240
As you can see, we usually get a separation of 3, but a few times (0 to 2, 80 to 82 and 160 to 162) only 2, allowing us to fill the entire range.

Why are my bit shifts giving incorrect numbers

I'm trying to store a number in an array of 4 integers. The array is in the class Num. My problem is that when I call getValue, the function returns numbers that aren't correct. I tried go through the program on paper, doing all the calculations in Microsoft's calculator, and the program should give the correct output. I don't even know which function could be problematic since there aren't any errors or warnings, and both worked on paper.
21 in binary:10101
What I'm trying to do:
Input to setValue function: 21
setValue puts the first four bits of 21 (0101) into num[3]. So num[3] is now 0101 in binary. Then it should put the next four bits of 21 into num[2]. The next four bits are 0001 so 0001 goes into num[2] The rest of the bits are 0 so we ignore them. Now num is {0,0,1,5}. getValue first goes to num[3]. There is 5 which is 0101 in binary. So it puts that into the first four bits of return value. It then puts 0001 into the next four bits. The rest of the numbers are 0 so it is supposed to ignore them. Then the output of the function getValue is directly printed out. The actual output is at the bottom.
My code:
#include <iostream>
class Num {
char len = 4;
int num[4];
public:
void setValue(int);
int getValue();
};
void Num::setValue(int toSet)
{
char len1=len-1;
for (int counter = len1;counter>=0;counter--)
{
if(toSet&(0xF<<(len1-counter))!=0)
{
num[counter]=(toSet&(0xF<<(len1-counter)))>>len1-counter;
} else {
break;
}
}
}
int Num::getValue()
{
char len1 = len-1;
int returnValue = 0;
for(char counter = len1; counter>=0;counter--)
{
if (num[counter]!=0) {
returnValue+=(num[counter]<<(len1-counter));
} else {
break;
}
}
return returnValue;
}
int main()
{
int x=260;
Num number;
while (x>0)
{
number.setValue(x);
std::cout<<x<<"Test: "<<number.getValue()<<std::endl;
x--;
}
std::cin>>x;
return 0;
}
Output:
260Test: -1748023676
259Test: 5
258Test: 5
257Test: 1
256Test: 1
255Test: 225
254Test: 225
253Test: 221
252Test: 221
251Test: 213
250Test: 213
249Test: 209
248Test: 209
247Test: 193
246Test: 193
245Test: 189
244Test: 189
243Test: 181
242Test: 181
241Test: 177
240Test: 177
239Test: 177
238Test: 177
237Test: 173
236Test: 173
235Test: 165
234Test: 165
233Test: 161
232Test: 161
231Test: 145
230Test: 145
229Test: 141
228Test: 141
227Test: 133
226Test: 133
225Test: 1
224Test: 1
223Test: 161
222Test: 161
221Test: 157
220Test: 157
219Test: 149
218Test: 149
217Test: 145
216Test: 145
215Test: 129
214Test: 129
213Test: 125
212Test: 125
211Test: 117
210Test: 117
209Test: 113
208Test: 113
207Test: 113
206Test: 113
205Test: 109
204Test: 109
203Test: 101
202Test: 101
201Test: 97
200Test: 97
199Test: 81
198Test: 81
197Test: 77
196Test: 77
195Test: 5
194Test: 5
193Test: 1
192Test: 1
191Test: 161
190Test: 161
189Test: 157
188Test: 157
187Test: 149
186Test: 149
185Test: 145
184Test: 145
183Test: 129
182Test: 129
181Test: 125
180Test: 125
179Test: 117
178Test: 117
177Test: 113
176Test: 113
175Test: 113
174Test: 113
173Test: 109
172Test: 109
171Test: 101
170Test: 101
169Test: 97
168Test: 97
167Test: 81
166Test: 81
165Test: 77
164Test: 77
163Test: 69
162Test: 69
161Test: 1
160Test: 1
159Test: 97
158Test: 97
157Test: 93
156Test: 93
155Test: 85
154Test: 85
153Test: 81
152Test: 81
151Test: 65
150Test: 65
149Test: 61
148Test: 61
147Test: 53
146Test: 53
145Test: 49
144Test: 49
143Test: 49
142Test: 49
141Test: 45
140Test: 45
139Test: 37
138Test: 37
137Test: 33
136Test: 33
135Test: 17
134Test: 17
133Test: 13
132Test: 13
131Test: 5
130Test: 5
129Test: 1
128Test: 1
127Test: 225
126Test: 225
125Test: 221
124Test: 221
123Test: 213
122Test: 213
121Test: 209
120Test: 209
119Test: 193
118Test: 193
117Test: 189
116Test: 189
115Test: 181
114Test: 181
113Test: 177
112Test: 177
111Test: 177
110Test: 177
109Test: 173
108Test: 173
107Test: 165
106Test: 165
105Test: 161
104Test: 161
103Test: 145
102Test: 145
101Test: 141
100Test: 141
99Test: 133
98Test: 133
97Test: 1
96Test: 1
95Test: 161
94Test: 161
93Test: 157
92Test: 157
91Test: 149
90Test: 149
89Test: 145
88Test: 145
87Test: 129
86Test: 129
85Test: 125
84Test: 125
83Test: 117
82Test: 117
81Test: 113
80Test: 113
79Test: 113
78Test: 113
77Test: 109
76Test: 109
75Test: 101
74Test: 101
73Test: 97
72Test: 97
71Test: 81
70Test: 81
69Test: 77
68Test: 77
67Test: 5
66Test: 5
65Test: 1
64Test: 1
63Test: 161
62Test: 161
61Test: 157
60Test: 157
59Test: 149
58Test: 149
57Test: 145
56Test: 145
55Test: 129
54Test: 129
53Test: 125
52Test: 125
51Test: 117
50Test: 117
49Test: 113
48Test: 113
47Test: 113
46Test: 113
45Test: 109
44Test: 109
43Test: 101
42Test: 101
41Test: 97
40Test: 97
39Test: 81
38Test: 81
37Test: 77
36Test: 77
35Test: 69
34Test: 69
33Test: 1
32Test: 1
31Test: 97
30Test: 97
29Test: 93
28Test: 93
27Test: 85
26Test: 85
25Test: 81
24Test: 81
23Test: 65
22Test: 65
21Test: 61
20Test: 61
19Test: 53
18Test: 53
17Test: 49
16Test: 49
15Test: 49
14Test: 49
13Test: 45
12Test: 45
11Test: 37
10Test: 37
9Test: 33
8Test: 33
7Test: 17
6Test: 17
5Test: 13
4Test: 13
3Test: 5
2Test: 5
1Test: 1
I compiled this with g++ 6.3.0 with the command g++ a.cpp -o a.exe
When compiling with -Wall, there are a number of warnings:
orig.cpp: In member function ‘void Num::setValue(int)’:
orig.cpp:15:39: warning: suggest parentheses around comparison in operand of ‘&’ [-Wparentheses]
if(toSet&(0xF<<(len1-counter))!=0)
~~~~~~~~~~~~~~~~~~~~~^~~
orig.cpp:17:61: warning: suggest parentheses around ‘-’ inside ‘>>’ [-Wparentheses]
num[counter]=(toSet&(0xF<<(len1-counter)))>>len1-counter;
~~~~^~~~~~~~
orig.cpp: In member function ‘int Num::getValue()’:
orig.cpp:30:24: warning: array subscript has type ‘char’ [-Wchar-subscripts]
if (num[counter]!=0) {
^
orig.cpp:31:38: warning: array subscript has type ‘char’ [-Wchar-subscripts]
returnValue+=(num[counter]<<(len1-counter));
^
If you were to print the values of num before changing them, you'd see that some might be non-zero (i.e. they are uninitialized), which causes undefined behavior and probably breaks your for loops in getValue and setValue.
So change:
int num[4];
Into:
int num[4] = { 0 };
Here's a cleaned up version with the warnings fixed:
#include <iostream>
class Num {
int len = 4;
int num[4] = { 0 };
public:
void setValue(int);
int getValue();
void showval();
};
void Num::setValue(int toSet)
{
int len1=len-1;
for (int counter = len1;counter>=0;counter--)
{
if ((toSet & (0xF << (len1-counter))) != 0)
{
num[counter] = (toSet & (0xF << (len1-counter))) >> (len1-counter);
} else {
break;
}
}
}
int Num::getValue()
{
int len1 = len-1;
int returnValue = 0;
for(int counter = len1; counter>=0;counter--)
{
if (num[counter]!=0) {
returnValue+=(num[counter]<<(len1-counter));
} else {
break;
}
}
return returnValue;
}
void Num::showval()
{
for (int i = 0; i < len; ++i)
std::cout << i << ": show: " << num[i] << "\n";
#if 0
for (int i = 0; i < len; ++i)
num[i] = 0;
#endif
}
int main()
{
int x=260;
Num number;
number.showval();
while (x>0)
{
number.setValue(x);
std::cout << x << " Test: " << number.getValue() << std::endl;
x--;
}
std::cin>>x;
return 0;
}
To break a number into nibbles, the shift counts should be multiples of 4. Otherwise slices of 4 bits are extracted that don't line up.
00010101 (21)
^^^^ first nibble
^^^^ second nibble
The second nibble is displaced by 4 bits so it needs to be shifted right by 4, not by 1.
You could multiply your shift counts by 4, but there is an easier way: only ever shift by 4. For example:
for (int i = len - 1; i >= 0; i--) {
num[i] = toSet & 0xF;
toSet >>= 4;
}
Then every iteration extracts the lowest nibble in toSet, and shifts toSet over so that the next nibble becomes the lowest nibble.
I didn't put in a break and there should not be one. It definitely shouldn't be the kind of break that you had, which stops the loop also whenever a number has a zero in the middle of it (for example in 0x101 the middle 0 causes the loop to stop). The loop also should not stop when the entire rest of the number is zero, since that leaves junk in the other entries of num.
It's more common to store the lowest nibble in the 0th element and so on (then you don't have to deal with all the "reverse logic" with down-counting loops and subtracting things from the length) but that's up to you.
Extracting the value can be done symmetrically, building up the result while shifting it, instead of shifting every piece into its final place immediately. Or just multiply (len1-counter) by 4. While extracting the value, you also cannot stop when num[i] is zero, since that does not prove that the rest of the number is zero too.

Reading and halving a sas data set

I have to read a data set of 50 numbers from a text file. It's all in a row with a space delimiter and in multiple uneven lines. for example:
1 2 3 4 5 6
7 8 9 10 11 12
13 14 15
16 17 18 19 20 21
Etc.
The first 25 numbers belong to group 1, and the 2nd 25 belong to group 2. So I need to make a group variable (binary either 1 or 2), a count number (1 to 25), and a value variable which is holding the value of the number.
I am stuck on how to split the data in half when reading it. I tried to use truncover but it did not work.
Try something like this, replacing the datalines keyword with the path to your file:
data groups;
infile datalines;
format number 8. counter 2. group 1.; * Not mandatory, used here to order variables;
retain group (1);
input number ##;
counter + 1;
if counter = 26 then do;
group = 2;
counter = 1;
end;
datalines;
192 105 435 448 160 499 184 246 388 190 316
139 146 147 192 231 449 101 216 342 399 352 122 418
280 400 187 352 321 180 425 500 320 179 105
232 105 323 132 106 255 449
186 135 472 174 119 255
308 350
run;

Next higher number with one zero bit

Today I've run into this problem, but I couldn't solve it after a period of time. I need some help
I have number N. The problem is to find next higher number ( > N ) with only one zero bit in binary.
Example:
Number 1 can be represented in binary as 1.
Next higher number with only one zero bit is 2 - Binary 10
A few other examples:
N = 2 (10), next higher number with one zero bit is 5 (101)
N = 5 (101), next higher number is 6 (110)
N = 7 (111), next higher number is 11 (1011)
List of 200 number:
1 1
2 10 - 1
3 11
4 100
5 101 - 1
6 110 - 1
7 111
8 1000
9 1001
10 1010
11 1011 - 1
12 1100
13 1101 - 1
14 1110 - 1
15 1111
16 10000
17 10001
18 10010
19 10011
20 10100
21 10101
22 10110
23 10111 - 1
24 11000
25 11001
26 11010
27 11011 - 1
28 11100
29 11101 - 1
30 11110 - 1
31 11111
32 100000
33 100001
34 100010
35 100011
36 100100
37 100101
38 100110
39 100111
40 101000
41 101001
42 101010
43 101011
44 101100
45 101101
46 101110
47 101111 - 1
48 110000
49 110001
50 110010
51 110011
52 110100
53 110101
54 110110
55 110111 - 1
56 111000
57 111001
58 111010
59 111011 - 1
60 111100
61 111101 - 1
62 111110 - 1
63 111111
64 1000000
65 1000001
66 1000010
67 1000011
68 1000100
69 1000101
70 1000110
71 1000111
72 1001000
73 1001001
74 1001010
75 1001011
76 1001100
77 1001101
78 1001110
79 1001111
80 1010000
81 1010001
82 1010010
83 1010011
84 1010100
85 1010101
86 1010110
87 1010111
88 1011000
89 1011001
90 1011010
91 1011011
92 1011100
93 1011101
94 1011110
95 1011111 - 1
96 1100000
97 1100001
98 1100010
99 1100011
100 1100100
101 1100101
102 1100110
103 1100111
104 1101000
105 1101001
106 1101010
107 1101011
108 1101100
109 1101101
110 1101110
111 1101111 - 1
112 1110000
113 1110001
114 1110010
115 1110011
116 1110100
117 1110101
118 1110110
119 1110111 - 1
120 1111000
121 1111001
122 1111010
123 1111011 - 1
124 1111100
125 1111101 - 1
126 1111110 - 1
127 1111111
128 10000000
129 10000001
130 10000010
131 10000011
132 10000100
133 10000101
134 10000110
135 10000111
136 10001000
137 10001001
138 10001010
139 10001011
140 10001100
141 10001101
142 10001110
143 10001111
144 10010000
145 10010001
146 10010010
147 10010011
148 10010100
149 10010101
150 10010110
151 10010111
152 10011000
153 10011001
154 10011010
155 10011011
156 10011100
157 10011101
158 10011110
159 10011111
160 10100000
161 10100001
162 10100010
163 10100011
164 10100100
165 10100101
166 10100110
167 10100111
168 10101000
169 10101001
170 10101010
171 10101011
172 10101100
173 10101101
174 10101110
175 10101111
176 10110000
177 10110001
178 10110010
179 10110011
180 10110100
181 10110101
182 10110110
183 10110111
184 10111000
185 10111001
186 10111010
187 10111011
188 10111100
189 10111101
190 10111110
191 10111111 - 1
192 11000000
193 11000001
194 11000010
195 11000011
196 11000100
197 11000101
198 11000110
199 11000111
200 11001000
There are three cases.
The number x has more than one zero bit in its binary representation. All but one of these zero bits must be "filled in" with 1 to obtain the required result. Notice that all numbers obtained by taking x and filling in one or more of its low-order zero bits are numerically closer to x compared to the number obtained by filling just the top-most zero bit. Therefore the answer is the number x with all-but-one of its zero bits filled: only its topmost zero bit remains unfilled. For example if x=110101001 then the answer is 110111111. To get the answer, find the index i of the topmost zero bit of x, and then calculate the bitwise OR of x and 2^i - 1.
C code for this case:
// warning: this assumes x is known to have *some* (>1) zeros!
unsigned next(unsigned x)
{
unsigned topmostzero = 0;
unsigned bit = 1;
while (bit && bit <= x) {
if (!(x & bit)) topmostzero = bit;
bit <<= 1;
}
return x | (topmostzero - 1);
}
The number x has no zero bits in binary. It means that x=2^n - 1 for some number n. By the same reasoning as above, the answer is then 2^n + 2^(n-1) - 1. For example, if x=111, then the answer is 1011.
The number x has exactly one zero bit in its binary representation. We know that the result must be strictly larger than x, so x itself is not allowed to be the answer. If x has the only zero in its least-significant bit, then this case reduces to case #2. Otherwise, the zero should be moved one position to the right. Assuming x has zero in its i-th bit, the answer should have its zero in i-1-th bit. For example, if x=11011, then the result is 11101.
You could also use another approach:
Every number with exactly one zero bit can be represented as
2^n - 1 - 2^m
Now the task is easy:
1. Find an n, great enough for at least 2^n-1-2^0>x, that's equivalent to 2^n>x+2
2. Find the greatest m for which 2^n-1-2^m is still greater than x.
as Code:
#include <iostream>
#include <math.h>
using namespace std;
//binary representation
void bin(unsigned n)
{
for (int i = floor(log2(n));i >= 0;--i)
(n & (1<<i))? printf("1"): printf("0");
}
//outputs the next greater int to x with exactly one 0 in binary representation
int nextHigherOneZero(int x)
{
unsigned int n=0;
while((1<<n)<= x+2 ) ++n;
unsigned int m=0;
while((1<<n)-1-(1<<(m+1)) > x && m<n-2)
++m;
return (1<<n)-1-(1<<m);
}
int main()
{
int r=0;
for(int i = 1; i<100;++i){
r=nextHigherOneZero(i);
printf("\nX: %i=",i);
bin(i);
printf(";\tnextHigherOneZero(x):%i=",r);
bin(r);
printf("\n");
}
return 0;
}
You can try it here (with some additional Debug-Output):
http://ideone.com/6w3fAN
As a note: its probably possible to get m and n faster with some good binary logic, feel free to contribute...
Pro of this approach:
No assumptions needs to be made
Cons:
Ugly while loops
couldn't miss the opportunity to remember binary logic :), here's my solution:
here's main
main(int argc, char** argv)
{
int i = 139261;
i++;
while (!oneZero(i))
{
i++;
}
std::cout << i;
}
and here's all logic to find if number has 1 zero
bool oneZero(int i)
{
int count = 0;
while (i != 0)
{
// check last bit if it is zero
if ((1 & i) == 0) {
count++;
if (count > 1) return false;
}
// make the number shorter :)
i = i >> 1;
}
return (count == 1);
}

does this code generate random numbers?

a = 100
for b in range(10,a):
c = b%10
if c == 0:
c += 3
c = c*b
print c
I was trying to make a random generator without using random function and I made this, does it generate random numbers?
Short Answer:
No.
Your code will print
30 11 24 39 56 75 96 119 144 171 60 21 44 69 96 125 156 189 224 261 90 31 64 99 136 175 216 259 304 351 120 41 84 129 176 225 276 329 384 441 150 51 104 159 216 275 336 399 464 531 180 61 124 189 256 325 396 469 544 621 210 71 144 219 296 375 456 539 624 711 240 81 164 249 336 425 516 609 704 801 270 91 184 279 376 475 576 679 784 891
every time.
Computers and programs like these are deterministic. If you sat down with a pen and paper you could tell me exactly which of these number would occur, when they would occur.
Random number generation is difficult, what I would recommend is using time to (seem to) randomize the output.
import time
print int(time.time() % 10)
This will give you a "random" number between 0 and 9.
time.time() gives you the number of milliseconds since (I believe) epoch time. It's a floating point number so we have to cast to an int if we want a "whole" integer number.
Caveat: This solution is not truly random, but will act in a much more "random" fashion.