diff --git a/d2/db0/namespacesieve__of__eratosthenes.html b/d2/db0/namespacesieve__of__eratosthenes.html new file mode 100644 index 000000000..3a60528d0 --- /dev/null +++ b/d2/db0/namespacesieve__of__eratosthenes.html @@ -0,0 +1,125 @@ + + + + + + + +Algorithms_in_C++: sieve_of_eratosthenes Namespace Reference + + + + + + + + + + + + + + + + + +
+
+ + + + + + +
+
Algorithms_in_C++ 1.0.0 +
+
Set of algorithms implemented in C++.
+
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+
+ +
+
+
+ +
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sieve_of_eratosthenes Namespace Reference
+
+
+ +

Functions for finding Prime Numbers using Sieve of Eratosthenes. +More...

+

Detailed Description

+

Functions for finding Prime Numbers using Sieve of Eratosthenes.

+
+
+ + + + diff --git a/d4/d9c/primes__up__to__billion_8cpp.html b/d4/d9c/primes__up__to__billion_8cpp.html index d49db76d2..4ff4ea67a 100644 --- a/d4/d9c/primes__up__to__billion_8cpp.html +++ b/d4/d9c/primes__up__to__billion_8cpp.html @@ -135,7 +135,7 @@ Variables

Detailed Description

Compute prime numbers upto 1 billion.

-
See also
prime_numbers.cpp sieve_of_eratosthenes.cpp
+
See also
prime_numbers.cpp sieve_of_eratosthenes.cpp

Function Documentation

◆ main()

diff --git a/d8/ddf/sieve__of__eratosthenes_8cpp.html b/d8/ddf/sieve__of__eratosthenes_8cpp.html index 1117fc860..061ecc611 100644 --- a/d8/ddf/sieve__of__eratosthenes_8cpp.html +++ b/d8/ddf/sieve__of__eratosthenes_8cpp.html @@ -105,12 +105,13 @@ $(function(){initNavTree('d8/ddf/sieve__of__eratosthenes_8cpp.html','../../'); i
+Namespaces | Functions
sieve_of_eratosthenes.cpp File Reference
-

Get list of prime numbers using Sieve of Eratosthenes. +

Prime Numbers using Sieve of Eratosthenes More...

#include <cassert>
#include <iostream>
@@ -121,19 +122,32 @@ Include dependency graph for sieve_of_eratosthenes.cpp:
+ + + + + + + +

+Namespaces

namespace  math
 for IO operations
 
namespace  sieve_of_eratosthenes
 Functions for finding Prime Numbers using Sieve of Eratosthenes.
 
- - - - - - + + + + + + + + + +

Functions

std::vector< bool > sieve (uint32_t N)
 
void print (uint32_t N, const std::vector< bool > &is_prime)
 
void tests ()
 
std::vector< bool > math::sieve_of_eratosthenes::sieve (uint32_t N)
 Function to sieve out the primes.
 
void math::sieve_of_eratosthenes::print (uint32_t N, const std::vector< bool > &is_prime)
 Function to print the prime numbers.
 
static void tests ()
 Self-test implementations.
 
int main ()
 Main function.
 

Detailed Description

-

Get list of prime numbers using Sieve of Eratosthenes.

+

Prime Numbers using Sieve of Eratosthenes

Sieve of Eratosthenes is an algorithm that finds all the primes between 2 and N.

Time Complexity : \(O(N \cdot\log \log N)\)
Space Complexity : \(O(N)\)

@@ -153,37 +167,30 @@ Space Complexity : \(O(N)\)

-

Main function

-
65 {
-
66 tests();
-
67
-
68 uint32_t N = 100;
-
69 std::vector<bool> is_prime = sieve(N);
-
70 print(N, is_prime);
-
71 return 0;
-
72}
-
data_structures::sparse_table::N
constexpr uint32_t N
A struct to represent sparse table for min() as their invariant function, for the given array A....
Definition sparse_table.cpp:47
-
math::is_prime
bool is_prime(int64_t num)
Function to check if the given number is prime or not.
Definition check_prime.cpp:31
-
print
void print(uint32_t N, const std::vector< bool > &is_prime)
Definition sieve_of_eratosthenes.cpp:44
-
sieve
std::vector< bool > sieve(uint32_t N)
Definition sieve_of_eratosthenes.cpp:26
-
tests
void tests()
Definition sieve_of_eratosthenes.cpp:56
- + +

Main function.

+
Returns
0 on exit
+
119 {
+
120 tests();
+
121 return 0;
+
122}
+
tests
static void tests()
Self-test implementations.
Definition sieve_of_eratosthenes.cpp:80
Here is the call graph for this function:
-
+
- -

◆ print()

+ +

◆ print()

- + @@ -194,93 +201,142 @@ Here is the call graph for this function:
void print void math::sieve_of_eratosthenes::print ( uint32_t N,
-

This function prints out the primes to STDOUT

Parameters
+ +

Function to print the prime numbers.

+
Parameters
- +
Nnumber of primes to check
Nnumber till which primes are to be found
is_primea vector of N + 1 booleans identifying if i^th number is a prime or not
-
44 {
-
45 for (uint32_t i = 2; i <= N; i++) {
-
46 if (is_prime[i]) {
-
47 std::cout << i << ' ';
-
48 }
-
49 }
-
50 std::cout << std::endl;
-
51}
+
64 {
+
65 for (uint32_t i = 2; i <= N; i++) {
+
66 if (is_prime[i]) {
+
67 std::cout << i << ' ';
+
68 }
+
69 }
+
70 std::cout << std::endl;
+
71}
+
data_structures::sparse_table::N
constexpr uint32_t N
A struct to represent sparse table for min() as their invariant function, for the given array A....
Definition sparse_table.cpp:47
std::endl
T endl(T... args)
Here is the call graph for this function:
-
+
- -

◆ sieve()

+ +

◆ sieve()

- +
std::vector< bool > sieve std::vector< bool > math::sieve_of_eratosthenes::sieve ( uint32_t N)
-

This is the function that finds the primes and eliminates the multiples. Contains a common optimization to start eliminating multiples of a prime p starting from p * p since all of the lower multiples have been already eliminated.

Parameters
+ +

Function to sieve out the primes.

+

This function finds all the primes between 2 and N using the Sieve of Eratosthenes algorithm. It starts by assuming all numbers (except zero and one) are prime and then iteratively marks the multiples of each prime as non-prime.

+

Contains a common optimization to start eliminating multiples of a prime p starting from p * p since all of the lower multiples have been already eliminated.

Parameters
- +
Nnumber of primes to check
Nnumber till which primes are to be found
Returns
is_prime a vector of N + 1 booleans identifying if i^th number is a prime or not
-
26 {
-
27 std::vector<bool> is_prime(N + 1, true);
-
28 is_prime[0] = is_prime[1] = false;
-
29 for (uint32_t i = 2; i * i <= N; i++) {
-
30 if (is_prime[i]) {
-
31 for (uint32_t j = i * i; j <= N; j += i) {
-
32 is_prime[j] = false;
-
33 }
-
34 }
-
35 }
-
36 return is_prime;
-
37}
-
+
44 {
+
45 std::vector<bool> is_prime(N + 1, true); // Initialize all as prime numbers
+
46 is_prime[0] = is_prime[1] = false; // 0 and 1 are not prime numbers
+
47
+
48 for (uint32_t i = 2; i * i <= N; i++) {
+
49 if (is_prime[i]) {
+
50 for (uint32_t j = i * i; j <= N; j += i) {
+
51 is_prime[j] = false;
+
52 }
+
53 }
+
54 }
+
55 return is_prime;
+
56}
+
math::is_prime
bool is_prime(int64_t num)
Function to check if the given number is prime or not.
Definition check_prime.cpp:31
+ +
+Here is the call graph for this function:
+
+
+
+
- -

◆ tests()

+ +

◆ tests()

+ + + + + +
- +
void tests static void tests ( )
+ 		+static
-

Test implementations

-
56 {
-
57 // 0 1 2 3 4 5 6 7 8 9 10
-
58 std::vector<bool> ans{false, false, true, true, false, true, false, true, false, false, false};
-
59 assert(sieve(10) == ans);
-
60}
-
-Here is the call graph for this function:
-
-
-
+

Self-test implementations.

+
Returns
void
+
80 {
+
81 std::vector<bool> is_prime_1 =
+
82 math::sieve_of_eratosthenes::sieve(static_cast<uint32_t>(10));
+
83 std::vector<bool> is_prime_2 =
+
84 math::sieve_of_eratosthenes::sieve(static_cast<uint32_t>(20));
+
85 std::vector<bool> is_prime_3 =
+
86 math::sieve_of_eratosthenes::sieve(static_cast<uint32_t>(100));
+
87
+
88 std::vector<bool> expected_1{false, false, true, true, false, true,
+
89 false, true, false, false, false};
+
90 assert(is_prime_1 == expected_1);
+
91
+
92 std::vector<bool> expected_2{false, false, true, true, false, true,
+
93 false, true, false, false, false, true,
+
94 false, true, false, false, false, true,
+
95 false, true, false};
+
96 assert(is_prime_2 == expected_2);
+
97
+
98 std::vector<bool> expected_3{
+
99 false, false, true, true, false, true, false, true, false, false,
+
100 false, true, false, true, false, false, false, true, false, true,
+
101 false, false, false, true, false, false, false, false, false, true,
+
102 false, true, false, false, false, false, false, true, false, false,
+
103 false, true, false, true, false, false, false, true, false, false,
+
104 false, false, false, true, false, false, false, false, false, true,
+
105 false, true, false, false, false, false, false, true, false, false,
+
106 false, true, false, true, false, false, false, false, false, true,
+
107 false, false, false, true, false, false, false, false, false, true,
+
108 false, false, false, false, false, false, false, true, false, false,
+
109 false};
+
110 assert(is_prime_3 == expected_3);
+
111
+
112 std::cout << "All tests have passed successfully!\n";
+
113}
+
math::sieve_of_eratosthenes::sieve
std::vector< bool > sieve(uint32_t N)
Function to sieve out the primes.
Definition sieve_of_eratosthenes.cpp:44
+
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- - - - diff --git a/d8/ddf/sieve__of__eratosthenes_8cpp_a235843bdf82d2a6cc8596ae8fd3b8df9_cgraph.md5 b/d8/ddf/sieve__of__eratosthenes_8cpp_a235843bdf82d2a6cc8596ae8fd3b8df9_cgraph.md5 deleted file mode 100644 index b8c4c957c..000000000 --- a/d8/ddf/sieve__of__eratosthenes_8cpp_a235843bdf82d2a6cc8596ae8fd3b8df9_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -3d9d00f1ba8824bdb16502791ed9d494 \ No newline at end of file diff --git a/d8/ddf/sieve__of__eratosthenes_8cpp_a235843bdf82d2a6cc8596ae8fd3b8df9_cgraph.svg b/d8/ddf/sieve__of__eratosthenes_8cpp_a235843bdf82d2a6cc8596ae8fd3b8df9_cgraph.svg deleted file mode 100644 index 3f0f9130c..000000000 --- a/d8/ddf/sieve__of__eratosthenes_8cpp_a235843bdf82d2a6cc8596ae8fd3b8df9_cgraph.svg +++ /dev/null @@ -1,65 +0,0 @@ - - - - - - - - - - - - -print - - -Node1 - - -print - - - - - -Node2 - - -std::endl - - - - - -Node1->Node2 - - - - - - - - - - - - - diff --git a/d8/ddf/sieve__of__eratosthenes_8cpp_a235843bdf82d2a6cc8596ae8fd3b8df9_cgraph_org.svg b/d8/ddf/sieve__of__eratosthenes_8cpp_a235843bdf82d2a6cc8596ae8fd3b8df9_cgraph_org.svg deleted file mode 100644 index a4007a765..000000000 --- a/d8/ddf/sieve__of__eratosthenes_8cpp_a235843bdf82d2a6cc8596ae8fd3b8df9_cgraph_org.svg +++ /dev/null @@ -1,39 +0,0 @@ - - - - - - -print - - -Node1 - - -print - - - - - -Node2 - - -std::endl - - - - - -Node1->Node2 - - - - - - - - diff --git a/d8/ddf/sieve__of__eratosthenes_8cpp_a55bc4a221e584d33b79b322432ecc0f3_cgraph.map b/d8/ddf/sieve__of__eratosthenes_8cpp_a55bc4a221e584d33b79b322432ecc0f3_cgraph.map new file mode 100644 index 000000000..9bbc07f39 --- /dev/null +++ b/d8/ddf/sieve__of__eratosthenes_8cpp_a55bc4a221e584d33b79b322432ecc0f3_cgraph.map @@ -0,0 +1,7 @@ + + + + + + + diff --git a/d8/ddf/sieve__of__eratosthenes_8cpp_a55bc4a221e584d33b79b322432ecc0f3_cgraph.md5 b/d8/ddf/sieve__of__eratosthenes_8cpp_a55bc4a221e584d33b79b322432ecc0f3_cgraph.md5 new file mode 100644 index 000000000..90cbe167b --- /dev/null +++ b/d8/ddf/sieve__of__eratosthenes_8cpp_a55bc4a221e584d33b79b322432ecc0f3_cgraph.md5 @@ -0,0 +1 @@ +50e83aaf6f13e80f6ffb131b53f044e6 \ No newline at end of file diff --git a/d8/ddf/sieve__of__eratosthenes_8cpp_a55bc4a221e584d33b79b322432ecc0f3_cgraph.svg b/d8/ddf/sieve__of__eratosthenes_8cpp_a55bc4a221e584d33b79b322432ecc0f3_cgraph.svg new file mode 100644 index 000000000..9b9803082 --- /dev/null +++ b/d8/ddf/sieve__of__eratosthenes_8cpp_a55bc4a221e584d33b79b322432ecc0f3_cgraph.svg @@ -0,0 +1,84 @@ + + + + + + + + + + + + +math::sieve_of_eratosthenes::print + + +Node1 + + +math::sieve_of_eratosthenes +::print + + + + + +Node2 + + +std::endl + + + + + +Node1->Node2 + + + + + + + + +Node3 + + +math::is_prime + + + + + +Node1->Node3 + + + + + + + + + + + + + diff --git a/d8/ddf/sieve__of__eratosthenes_8cpp_a55bc4a221e584d33b79b322432ecc0f3_cgraph_org.svg b/d8/ddf/sieve__of__eratosthenes_8cpp_a55bc4a221e584d33b79b322432ecc0f3_cgraph_org.svg new file mode 100644 index 000000000..3ab529f5a --- /dev/null +++ b/d8/ddf/sieve__of__eratosthenes_8cpp_a55bc4a221e584d33b79b322432ecc0f3_cgraph_org.svg @@ -0,0 +1,58 @@ + + + + + + +math::sieve_of_eratosthenes::print + + +Node1 + + +math::sieve_of_eratosthenes +::print + + + + + +Node2 + + +std::endl + + + + + +Node1->Node2 + + + + + + + + +Node3 + + +math::is_prime + + + + + +Node1->Node3 + + + + + + + + diff --git a/d8/ddf/sieve__of__eratosthenes_8cpp_a88ec9ad42717780d6caaff9d3d6977f9_cgraph.map b/d8/ddf/sieve__of__eratosthenes_8cpp_a88ec9ad42717780d6caaff9d3d6977f9_cgraph.map deleted file mode 100644 index 51f028260..000000000 --- a/d8/ddf/sieve__of__eratosthenes_8cpp_a88ec9ad42717780d6caaff9d3d6977f9_cgraph.map +++ /dev/null @@ -1,5 +0,0 @@ - - - - - diff --git a/d8/ddf/sieve__of__eratosthenes_8cpp_a88ec9ad42717780d6caaff9d3d6977f9_cgraph.md5 b/d8/ddf/sieve__of__eratosthenes_8cpp_a88ec9ad42717780d6caaff9d3d6977f9_cgraph.md5 deleted file mode 100644 index 0674e85b3..000000000 --- a/d8/ddf/sieve__of__eratosthenes_8cpp_a88ec9ad42717780d6caaff9d3d6977f9_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -841812c674f8d1523d259f12d986fac2 \ No newline at end of file diff --git a/d8/ddf/sieve__of__eratosthenes_8cpp_a88ec9ad42717780d6caaff9d3d6977f9_cgraph.svg b/d8/ddf/sieve__of__eratosthenes_8cpp_a88ec9ad42717780d6caaff9d3d6977f9_cgraph.svg deleted file mode 100644 index bbb753fdd..000000000 --- a/d8/ddf/sieve__of__eratosthenes_8cpp_a88ec9ad42717780d6caaff9d3d6977f9_cgraph.svg +++ /dev/null @@ -1,65 +0,0 @@ - - - - - - - - - - - - -tests - - -Node1 - - -tests - - - - - -Node2 - - -sieve - - - - - -Node1->Node2 - - - - - - - - - - - - - diff --git a/d8/ddf/sieve__of__eratosthenes_8cpp_a88ec9ad42717780d6caaff9d3d6977f9_cgraph_org.svg b/d8/ddf/sieve__of__eratosthenes_8cpp_a88ec9ad42717780d6caaff9d3d6977f9_cgraph_org.svg deleted file mode 100644 index 9ce58b0b3..000000000 --- a/d8/ddf/sieve__of__eratosthenes_8cpp_a88ec9ad42717780d6caaff9d3d6977f9_cgraph_org.svg +++ /dev/null @@ -1,39 +0,0 @@ - - - - - - -tests - - -Node1 - - -tests - - - - - -Node2 - - -sieve - - - - - -Node1->Node2 - - - - - - - - diff --git a/d8/ddf/sieve__of__eratosthenes_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.map b/d8/ddf/sieve__of__eratosthenes_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.map index 69ed76b36..19f717f6e 100644 --- a/d8/ddf/sieve__of__eratosthenes_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.map +++ b/d8/ddf/sieve__of__eratosthenes_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.map @@ -1,12 +1,5 @@ - - - - - - - - - - + + + diff --git a/d8/ddf/sieve__of__eratosthenes_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5 b/d8/ddf/sieve__of__eratosthenes_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5 index 7313899bf..c61ebd05f 100644 --- a/d8/ddf/sieve__of__eratosthenes_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5 +++ b/d8/ddf/sieve__of__eratosthenes_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5 @@ -1 +1 @@ -28d240a537f2ca23120d67028f21597e \ No newline at end of file +c469d1fefdc7ac40ec9722e22511cdf2 \ No newline at end of file diff --git a/d8/ddf/sieve__of__eratosthenes_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg b/d8/ddf/sieve__of__eratosthenes_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg index bee57ab3a..90b341e16 100644 --- a/d8/ddf/sieve__of__eratosthenes_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg +++ b/d8/ddf/sieve__of__eratosthenes_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg @@ -4,8 +4,8 @@ - + @@ -17,23 +17,23 @@ ]]> - + main Node1 - - -main + + +main Node2 - - -print + + +tests @@ -41,71 +41,8 @@ Node1->Node2 - - - - - - - -Node4 - - -sieve - - - - - -Node1->Node4 - - - - - - - - -Node5 - - -tests - - - - - -Node1->Node5 - - - - - - - - -Node3 - - -std::endl - - - - - -Node2->Node3 - - - - - - - - -Node5->Node4 - - - + + diff --git a/d8/ddf/sieve__of__eratosthenes_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph_org.svg b/d8/ddf/sieve__of__eratosthenes_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph_org.svg index 776cff0b5..86c4b950a 100644 --- a/d8/ddf/sieve__of__eratosthenes_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph_org.svg +++ b/d8/ddf/sieve__of__eratosthenes_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph_org.svg @@ -4,25 +4,25 @@ - - + + main Node1 - - -main + + +main Node2 - - -print + + +tests @@ -30,71 +30,8 @@ Node1->Node2 - - - - - - - -Node4 - - -sieve - - - - - -Node1->Node4 - - - - - - - - -Node5 - - -tests - - - - - -Node1->Node5 - - - - - - - - -Node3 - - -std::endl - - - - - -Node2->Node3 - - - - - - - - -Node5->Node4 - - - + + diff --git a/da/d35/sieve__of__eratosthenes_8cpp__incl.map b/da/d35/sieve__of__eratosthenes_8cpp__incl.map index 15ea40650..43075086d 100644 --- a/da/d35/sieve__of__eratosthenes_8cpp__incl.map +++ b/da/d35/sieve__of__eratosthenes_8cpp__incl.map @@ -1,5 +1,5 @@ - + diff --git a/da/d35/sieve__of__eratosthenes_8cpp__incl.md5 b/da/d35/sieve__of__eratosthenes_8cpp__incl.md5 index 0b0b44a86..d654830ea 100644 --- a/da/d35/sieve__of__eratosthenes_8cpp__incl.md5 +++ b/da/d35/sieve__of__eratosthenes_8cpp__incl.md5 @@ -1 +1 @@ -280de3f2a6ae18976554cdba5c01172b \ No newline at end of file +c510a1dd2e2b310a22dcf1d80796b667 \ No newline at end of file diff --git a/da/d35/sieve__of__eratosthenes_8cpp__incl.svg b/da/d35/sieve__of__eratosthenes_8cpp__incl.svg index e1cea4003..92b7fb2cc 100644 --- a/da/d35/sieve__of__eratosthenes_8cpp__incl.svg +++ b/da/d35/sieve__of__eratosthenes_8cpp__incl.svg @@ -22,7 +22,7 @@ Node1 - + math/sieve_of_eratosthenes.cpp diff --git a/da/d35/sieve__of__eratosthenes_8cpp__incl_org.svg b/da/d35/sieve__of__eratosthenes_8cpp__incl_org.svg index acff0b524..6f1be5dd1 100644 --- a/da/d35/sieve__of__eratosthenes_8cpp__incl_org.svg +++ b/da/d35/sieve__of__eratosthenes_8cpp__incl_org.svg @@ -11,7 +11,7 @@ Node1 - + math/sieve_of_eratosthenes.cpp diff --git a/dd/d47/namespacemath.html b/dd/d47/namespacemath.html index 1ab7c4428..79d68133f 100644 --- a/dd/d47/namespacemath.html +++ b/dd/d47/namespacemath.html @@ -328,6 +328,8 @@ Algorithm

Mathematical algorithms

std::array assert std::sqrt, std::trunc, std::pow std::complex std::invalid_argument std::setprecision

Mathematical algorithms

+

for assert for IO operations

+

Mathematical algorithms

for assert for std::pow for std::uint32_t

Mathematical algorithms

Typedef Documentation

diff --git a/de/d9b/prime__numbers_8cpp.html b/de/d9b/prime__numbers_8cpp.html index 7c0110351..97dd247f1 100644 --- a/de/d9b/prime__numbers_8cpp.html +++ b/de/d9b/prime__numbers_8cpp.html @@ -129,7 +129,7 @@ Functions

Detailed Description

Get list of prime numbers.

-
See also
primes_up_to_billion.cpp sieve_of_eratosthenes.cpp
+
See also
primes_up_to_billion.cpp sieve_of_eratosthenes.cpp

Function Documentation

◆ main()

diff --git a/dir_296d53ceaeaa7e099814a6def439fe8a.html b/dir_296d53ceaeaa7e099814a6def439fe8a.html index 66d80ab3b..59bbc43b0 100644 --- a/dir_296d53ceaeaa7e099814a6def439fe8a.html +++ b/dir_296d53ceaeaa7e099814a6def439fe8a.html @@ -264,7 +264,7 @@ Files  Compute statistics for data entered in rreal-time.
   sieve_of_eratosthenes.cpp - Get list of prime numbers using Sieve of Eratosthenes.
+ Prime Numbers using Sieve of Eratosthenes
   sqrt_double.cpp  Calculate the square root of any positive real number in \(O(\log diff --git a/doxygen_crawl.html b/doxygen_crawl.html index 924d100ef..51ea0c9bd 100644 --- a/doxygen_crawl.html +++ b/doxygen_crawl.html @@ -672,6 +672,7 @@ + @@ -1412,6 +1413,7 @@ + @@ -2677,9 +2679,9 @@ - - - + + + @@ -3114,6 +3116,8 @@ + + diff --git a/files.html b/files.html index 2c443f3d1..08908134b 100644 --- a/files.html +++ b/files.html @@ -295,7 +295,7 @@ solve-a-rat-in-a-maze-c-java-pytho/" target="_blank">Rat in a Maze algorithm  primes_up_to_billion.cppCompute prime numbers upto 1 billion  quadratic_equations_complex_numbers.cppCalculate quadratic equation with complex roots, i.e. b^2 - 4ac < 0  realtime_stats.cppCompute statistics for data entered in rreal-time - sieve_of_eratosthenes.cppGet list of prime numbers using Sieve of Eratosthenes + sieve_of_eratosthenes.cppPrime Numbers using Sieve of Eratosthenes  sqrt_double.cppCalculate the square root of any positive real number in \(O(\log N)\) time, with precision fixed using bisection method of root-finding  string_fibonacci.cppThis Programme returns the Nth fibonacci as a string diff --git a/globals_func_p.html b/globals_func_p.html index da2b53290..f8d14859a 100644 --- a/globals_func_p.html +++ b/globals_func_p.html @@ -120,7 +120,6 @@ $(function(){initNavTree('globals_func_p.html',''); initResizable(true); });
  • predict_OLS_regressor() : ordinary_least_squares_regressor.cpp
  • prime_factorization() : prime_factorization.cpp
  • primes() : prime_numbers.cpp
    • -
  • print() : sieve_of_eratosthenes.cpp
  • printArray() : heap_sort.cpp
  • problem() : ode_forward_euler.cpp, ode_midpoint_euler.cpp, ode_semi_implicit_euler.cpp
  • push() : paranthesis_matching.cpp
    • diff --git a/globals_func_s.html b/globals_func_s.html index a1448fdb4..8af17b9b3 100644 --- a/globals_func_s.html +++ b/globals_func_s.html @@ -119,7 +119,6 @@ $(function(){initNavTree('globals_func_s.html',''); initResizable(true); });
  • show_data() : shell_sort2.cpp
  • show_pascal() : pascal_triangle.cpp
  • Sieve() : primes_up_to_billion.cpp
    • -
  • sieve() : sieve_of_eratosthenes.cpp
  • SieveOfEratosthenes() : prime_factorization.cpp
  • SLEEP() : memory_game.cpp
  • sortcol() : fcfs_scheduling.cpp
    • diff --git a/globals_func_t.html b/globals_func_t.html index 7b63e71ba..2d7b42495 100644 --- a/globals_func_t.html +++ b/globals_func_t.html @@ -145,7 +145,7 @@ $(function(){initNavTree('globals_func_t.html',''); initResizable(true); });
  • test_longest_common_string_length_for_reversed_inputs() : longest_common_string.cpp
  • test_longest_common_string_length_is_symmetric() : longest_common_string.cpp
  • test_remove() : binary_search_tree2.cpp
    • -
  • tests() : armstrong_number.cpp, longest_common_string.cpp, Unbounded_0_1_Knapsack.cpp, bidirectional_dijkstra.cpp, breadth_first_search.cpp, connected_components.cpp, depth_first_search_with_stack.cpp, dijkstra.cpp, hopcroft_karp.cpp, lowest_common_ancestor.cpp, travelling_salesman_problem.cpp, binary_addition.cpp, boruvkas_minimum_spanning_tree.cpp, digit_separation.cpp, dijkstra.cpp, gale_shapley.cpp, approximate_pi.cpp, binomial_calculate.cpp, check_amicable_pair.cpp, check_factorial.cpp, check_prime.cpp, complex_numbers.cpp, double_factorial.cpp, factorial.cpp, least_common_multiple.cpp, magic_number.cpp, miller_rabin.cpp, ncr_modulo_p.cpp, number_of_positive_divisors.cpp, sieve_of_eratosthenes.cpp, kelvin_to_celsius.cpp, longest_substring_without_repeating_characters.cpp, recursive_tree_traversal.cpp, fenwick_tree.cpp, linear_search.cpp, longest_increasing_subsequence_using_binary_search.cpp, comb_sort.cpp, insertion_sort.cpp, insertion_sort_recursive.cpp, quick_sort.cpp, quick_sort_iterative.cpp, radix_sort2.cpp, boyer_moore.cpp, knuth_morris_pratt.cpp
    • +
  • tests() : armstrong_number.cpp, longest_common_string.cpp, Unbounded_0_1_Knapsack.cpp, bidirectional_dijkstra.cpp, breadth_first_search.cpp, connected_components.cpp, depth_first_search_with_stack.cpp, dijkstra.cpp, hopcroft_karp.cpp, lowest_common_ancestor.cpp, travelling_salesman_problem.cpp, binary_addition.cpp, boruvkas_minimum_spanning_tree.cpp, digit_separation.cpp, dijkstra.cpp, gale_shapley.cpp, approximate_pi.cpp, binomial_calculate.cpp, check_amicable_pair.cpp, check_factorial.cpp, check_prime.cpp, complex_numbers.cpp, double_factorial.cpp, factorial.cpp, least_common_multiple.cpp, magic_number.cpp, miller_rabin.cpp, ncr_modulo_p.cpp, number_of_positive_divisors.cpp, sieve_of_eratosthenes.cpp, kelvin_to_celsius.cpp, longest_substring_without_repeating_characters.cpp, recursive_tree_traversal.cpp, fenwick_tree.cpp, linear_search.cpp, longest_increasing_subsequence_using_binary_search.cpp, comb_sort.cpp, insertion_sort.cpp, insertion_sort_recursive.cpp, quick_sort.cpp, quick_sort_iterative.cpp, radix_sort2.cpp, boyer_moore.cpp, knuth_morris_pratt.cpp
  • TH() : tower_of_hanoi.cpp
  • tolowerRoman() : decimal_to_roman_numeral.cpp
  • toupperRoman() : decimal_to_roman_numeral.cpp
    • diff --git a/globals_p.html b/globals_p.html index b44489e06..474a48d05 100644 --- a/globals_p.html +++ b/globals_p.html @@ -124,7 +124,6 @@ $(function(){initNavTree('globals_p.html',''); initResizable(true); });
  • prime_factorization() : prime_factorization.cpp
  • prime_numbers : prime_factorization.cpp
  • primes() : prime_numbers.cpp
    • -
  • print() : sieve_of_eratosthenes.cpp
  • printArray() : heap_sort.cpp
  • problem() : ode_forward_euler.cpp, ode_midpoint_euler.cpp, ode_semi_implicit_euler.cpp
  • push() : paranthesis_matching.cpp
    • diff --git a/globals_s.html b/globals_s.html index 9dfa450e6..194c7b5ac 100644 --- a/globals_s.html +++ b/globals_s.html @@ -119,7 +119,6 @@ $(function(){initNavTree('globals_s.html',''); initResizable(true); });
  • show_data() : shell_sort2.cpp
  • show_pascal() : pascal_triangle.cpp
  • Sieve() : primes_up_to_billion.cpp
    • -
  • sieve() : sieve_of_eratosthenes.cpp
  • SieveOfEratosthenes() : prime_factorization.cpp
  • SLEEP() : memory_game.cpp
  • sortcol() : fcfs_scheduling.cpp
    • diff --git a/globals_t.html b/globals_t.html index 04e29cad7..09c9e9241 100644 --- a/globals_t.html +++ b/globals_t.html @@ -146,7 +146,7 @@ $(function(){initNavTree('globals_t.html',''); initResizable(true); });
  • test_longest_common_string_length_is_symmetric() : longest_common_string.cpp
  • test_remove() : binary_search_tree2.cpp
  • test_set : brute_force_string_searching.cpp
    • -
  • tests() : armstrong_number.cpp, longest_common_string.cpp, Unbounded_0_1_Knapsack.cpp, bidirectional_dijkstra.cpp, breadth_first_search.cpp, connected_components.cpp, depth_first_search_with_stack.cpp, dijkstra.cpp, hopcroft_karp.cpp, lowest_common_ancestor.cpp, travelling_salesman_problem.cpp, binary_addition.cpp, boruvkas_minimum_spanning_tree.cpp, digit_separation.cpp, dijkstra.cpp, gale_shapley.cpp, approximate_pi.cpp, binomial_calculate.cpp, check_amicable_pair.cpp, check_factorial.cpp, check_prime.cpp, complex_numbers.cpp, double_factorial.cpp, factorial.cpp, least_common_multiple.cpp, magic_number.cpp, miller_rabin.cpp, ncr_modulo_p.cpp, number_of_positive_divisors.cpp, sieve_of_eratosthenes.cpp, kelvin_to_celsius.cpp, longest_substring_without_repeating_characters.cpp, recursive_tree_traversal.cpp, fenwick_tree.cpp, linear_search.cpp, longest_increasing_subsequence_using_binary_search.cpp, comb_sort.cpp, insertion_sort.cpp, insertion_sort_recursive.cpp, quick_sort.cpp, quick_sort_iterative.cpp, radix_sort2.cpp, boyer_moore.cpp, knuth_morris_pratt.cpp
    • +
  • tests() : armstrong_number.cpp, longest_common_string.cpp, Unbounded_0_1_Knapsack.cpp, bidirectional_dijkstra.cpp, breadth_first_search.cpp, connected_components.cpp, depth_first_search_with_stack.cpp, dijkstra.cpp, hopcroft_karp.cpp, lowest_common_ancestor.cpp, travelling_salesman_problem.cpp, binary_addition.cpp, boruvkas_minimum_spanning_tree.cpp, digit_separation.cpp, dijkstra.cpp, gale_shapley.cpp, approximate_pi.cpp, binomial_calculate.cpp, check_amicable_pair.cpp, check_factorial.cpp, check_prime.cpp, complex_numbers.cpp, double_factorial.cpp, factorial.cpp, least_common_multiple.cpp, magic_number.cpp, miller_rabin.cpp, ncr_modulo_p.cpp, number_of_positive_divisors.cpp, sieve_of_eratosthenes.cpp, kelvin_to_celsius.cpp, longest_substring_without_repeating_characters.cpp, recursive_tree_traversal.cpp, fenwick_tree.cpp, linear_search.cpp, longest_increasing_subsequence_using_binary_search.cpp, comb_sort.cpp, insertion_sort.cpp, insertion_sort_recursive.cpp, quick_sort.cpp, quick_sort_iterative.cpp, radix_sort2.cpp, boyer_moore.cpp, knuth_morris_pratt.cpp
  • TH() : tower_of_hanoi.cpp
  • tolowerRoman() : decimal_to_roman_numeral.cpp
  • toupperRoman() : decimal_to_roman_numeral.cpp
    • diff --git a/namespaces.html b/namespaces.html index c02a122d6..304977aac 100644 --- a/namespaces.html +++ b/namespaces.html @@ -228,39 +228,40 @@ solve-a-rat-in-a-maze-c-java-pytho/" target="_blank">Rat in a Maze algorithm  NsetKthBitFunctions for the [From the right, set the Kth bit in the binary representation of N] (https://practice.geeksforgeeks.org/problems/set-kth-bit3724/1/) implementation  NSHAFunctions for the SHA-1 algorithm implementation  Nshortest_common_supersequenceShortest Common Super Sequence algorithm - Nsimpson_methodContains the Simpson's method implementation - NsortingFor working with vectors - Nsparse_tableFunctions for Implementation of Sparse Table - Nspirograph - Nstack_using_queueFunctions for the Stack Using Queue implementation - NstatisticsStatistical algorithms - NstdSTL namespace - NstrandFunctions for Strand Sort algorithm - Nstrassens_multiplicationNamespace for performing strassen's multiplication - NstringString manipulation algorithms 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- Nvector_crossFunctions for Vector Cross Product algorithms - NvigenereFunctions for vigenère cipher algorithm - Nwave_sortFunctions for the Wave sort implementation - Nwiggle_sortFunctions for Wiggle Sort algorithm - Nwildcard_matchingFunctions for the Wildcard Matching problem - Nwindowed_medianFunctions for the Windowed Median algorithm implementation - Nword_breakFunctions for Word Break problem - NXORFunctions for XOR cipher algorithm + Nsieve_of_eratosthenesFunctions for finding Prime Numbers using Sieve of Eratosthenes + Nsimpson_methodContains the Simpson's method implementation + NsortingFor working with vectors + Nsparse_tableFunctions for Implementation of Sparse Table + Nspirograph + Nstack_using_queueFunctions for the Stack Using Queue implementation + NstatisticsStatistical algorithms + NstdSTL namespace + NstrandFunctions for Strand Sort algorithm + Nstrassens_multiplicationNamespace for performing strassen's multiplication + NstringString manipulation algorithms + Nstring_searchString search algorithms + ►NstringsString algorithms + Nboyer_mooreFunctions for the Boyer Moore algorithm implementation + Nsubarray_sumFunctions for the Subset sum implementation + Nsublist_searchFunctions for the Sublist Search implementation + Nsubset_sumFunctions for [Sub-set sum problem] (https://en.wikipedia.org/wiki/Subset_sum_problem) algorithm + NSubsetsFunctions for the Subset Sum problem + Nsudoku_solverFunctions for the Sudoku Solver implementation + NtestsTestcases to check Union of Two Arrays + NtravellingSalesman_bitmanipulationFunctions for the Travelling Salesman Bitmask implementation + Ntree_234Functions for 2–3–4 tree + Ntrie_operationsFunctions for Trie datastructure implementation + Ntrie_using_hashmapFunctions for Trie data structure using hashmap implementation + Nutil_functionsVarious utility functions used in Neural network + NutilsThis namespace contains the definitions of the functions called from the class math::ncr_modulo_p::NCRModuloP + Nvector_crossFunctions for Vector Cross Product algorithms + NvigenereFunctions for vigenère cipher algorithm + Nwave_sortFunctions for the Wave sort implementation + Nwiggle_sortFunctions for Wiggle Sort algorithm + Nwildcard_matchingFunctions for the Wildcard Matching problem + Nwindowed_medianFunctions for the Windowed Median algorithm implementation + Nword_breakFunctions for Word Break problem + NXORFunctions for XOR cipher algorithm diff --git a/namespaces_dup.js b/namespaces_dup.js index 66d8e446f..e4714ba09 100644 --- a/namespaces_dup.js +++ b/namespaces_dup.js @@ -132,6 +132,7 @@ var namespaces_dup = [ "setKthBit", "d8/d88/namespaceset_kth_bit.html", null ], [ "SHA", "de/dd3/namespace_s_h_a.html", null ], [ "shortest_common_supersequence", "d3/deb/namespaceshortest__common__supersequence.html", null ], + [ "sieve_of_eratosthenes", "d2/db0/namespacesieve__of__eratosthenes.html", null ], [ "simpson_method", "d3/d6d/namespacesimpson__method.html", null ], [ "sorting", 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