diff --git a/d1/dbe/lu__decomposition_8h_source.html b/d1/dbe/lu__decomposition_8h_source.html index e2d0b1d27..cec8e6897 100644 --- a/d1/dbe/lu__decomposition_8h_source.html +++ b/d1/dbe/lu__decomposition_8h_source.html @@ -212,6 +212,7 @@ $(document).ready(function(){initNavTree('d1/dbe/lu__decomposition_8h_source.htm
test3
void test3()
Test function to find maxima for the function in the interval Expected result: .
Definition: brent_method_extrema.cpp:188
std::string
STL class.
std::uniform_int_distribution
+
print
void print(uint32_t N, const bool *isprime)
Definition: sieve_of_eratosthenes.cpp:38
primes
std::vector< int > primes(int max)
Definition: prime_numbers.cpp:12
miller_rabin_primality_test
bool miller_rabin_primality_test(T num, T repeats)
Definition: miller_rabin.cpp:125
std::clock_t
@@ -224,8 +225,7 @@ $(document).ready(function(){initNavTree('d1/dbe/lu__decomposition_8h_source.htm
std::vector::size
T size(T... args)
multiply
int multiply(int x, int res[], int res_size)
Definition: power_for_huge_numbers.cpp:25
ans
ll ans(ll n)
Definition: matrix_exponentiation.cpp:91
-
main
int main()
Definition: sieve_of_eratosthenes.cpp:59
-
print
void print(uint32_t N)
Definition: sieve_of_eratosthenes.cpp:40
+
main
int main()
Definition: sieve_of_eratosthenes.cpp:50
complex_str
const char * complex_str(const std::complex< double > &x)
Definition: durand_kerner_roots.cpp:76
test3
void test3()
Test function to find maxima for the function in the interval Expected result: .
Definition: golden_search_extrema.cpp:123
get_minima
double get_minima(const std::function< double(double)> &f, double lim_a, double lim_b)
Get the real root of a function in the given interval.
Definition: brent_method_extrema.cpp:35
@@ -250,7 +250,6 @@ $(document).ready(function(){initNavTree('d1/dbe/lu__decomposition_8h_source.htm
std::isnan
T isnan(T... args)
statistics
Statistical algorithms.
test2
void test2()
Definition: sum_of_digits.cpp:49
-
init
void init()
Definition: sieve_of_eratosthenes.cpp:52
std::snprintf
T snprintf(T... args)
std::random_device
std::numeric_limits::infinity
T infinity(T... args)
@@ -261,7 +260,6 @@ $(document).ready(function(){initNavTree('d1/dbe/lu__decomposition_8h_source.htm
statistics::stats_computer2::variance
double variance() const
Definition: realtime_stats.cpp:89
gcd
unsigned int gcd(unsigned int x, unsigned int y)
Definition: least_common_multiple.cpp:16
main
int main()
Definition: sqrt_double.cpp:42
-
sieve
void sieve(uint32_t N)
Definition: sieve_of_eratosthenes.cpp:25
modular_exponentiation
T modular_exponentiation(T base, const std::vector< T > &rev_binary_exponent, T mod)
Definition: miller_rabin.cpp:43
poly_function
std::complex< double > poly_function(const std::valarray< double > &coeffs, std::complex< double > x)
Definition: durand_kerner_roots.cpp:53
main
int main(int argc, char **argv)
Definition: lu_decompose.cpp:84
@@ -278,13 +276,13 @@ $(document).ready(function(){initNavTree('d1/dbe/lu__decomposition_8h_source.htm
std::rand
T rand(T... args)
std::swap
T swap(T... args)
lu_decomposition.h
Functions associated with LU Decomposition of a square matrix.
+
sieve
void sieve(uint32_t N, bool *isprime)
Definition: sieve_of_eratosthenes.cpp:21
test_function
void test_function(const float *test_data, const int number_of_samples)
Definition: realtime_stats.cpp:118
SieveOfEratosthenes
void SieveOfEratosthenes(int N)
Definition: prime_factorization.cpp:23
std::string::substr
T substr(T... args)
miller_test
bool miller_test(T d, T num)
Definition: miller_rabin.cpp:73
main
int main()
Definition: least_common_multiple.cpp:67
lu_decomposition
int lu_decomposition(const matrix< T > &A, matrix< double > *L, matrix< double > *U)
Definition: lu_decomposition.h:29
-
MAX
#define MAX
Definition: sieve_of_eratosthenes.cpp:16
binExpo
int64_t binExpo(int64_t a, int64_t b, int64_t m)
Definition: modular_inverse_fermat_little_theorem.cpp:52
std::endl
T endl(T... args)
statistics::stats_computer1::new_val
void new_val(T x)
Definition: realtime_stats.cpp:32
@@ -306,7 +304,6 @@ $(document).ready(function(){initNavTree('d1/dbe/lu__decomposition_8h_source.htm
test2
void test2()
Test function to find maxima for the function in the interval Expected result: .
Definition: golden_search_extrema.cpp:100
statistics::stats_computer2::std
double std() const
Definition: realtime_stats.cpp:92
main
int main()
Definition: golden_search_extrema.cpp:139
-
isprime
bool isprime[MAX]
Definition: sieve_of_eratosthenes.cpp:19
test1
void test1()
Definition: sum_of_digits.cpp:40
std::complex
STL class.
std::complex::imag
T imag(T... args)
diff --git a/d4/d86/large__number_8h_source.html b/d4/d86/large__number_8h_source.html index 51b975866..ea8595389 100644 --- a/d4/d86/large__number_8h_source.html +++ b/d4/d86/large__number_8h_source.html @@ -403,6 +403,7 @@ $(document).ready(function(){initNavTree('d4/d86/large__number_8h_source.html','
std::domain_error
STL class.
std::string
STL class.
std::shared_ptr
STL class.
+
print
void print(uint32_t N, const bool *isprime)
Definition: sieve_of_eratosthenes.cpp:38
MAX
#define MAX
Definition: fibonacci_fast.cpp:27
Graph::addVertices
void addVertices(unsigned int num=1)
Definition: cycle_check_directed_graph.cpp:122
test1
bool test1()
Definition: large_factorial.cpp:17
@@ -438,7 +439,6 @@ $(document).ready(function(){initNavTree('d4/d86/large__number_8h_source.html','
large_number
Definition: large_number.h:24
fib
large_number fib(uint64_t n)
Definition: fibonacci_large.cpp:24
main
int main()
Definition: fibonacci_fast.cpp:51
-
print
void print(uint32_t N)
Definition: sieve_of_eratosthenes.cpp:40
std::iterator
main
int main(int argc, char **argv)
Definition: kohonen_som_topology.cpp:566
Trie::hasChildren
static bool hasChildren(std::shared_ptr< TrieNode > node)
Definition: trie_modern.cpp:41
@@ -511,7 +511,6 @@ $(document).ready(function(){initNavTree('d4/d86/large__number_8h_source.html','
main
int main()
Definition: hill_cipher.cpp:532
large_number::operator*=
large_number & operator*=(const T n)
Definition: large_number.h:238
large_number::large_number
large_number()
Definition: large_number.h:27
-
init
void init()
Definition: sieve_of_eratosthenes.cpp:52
main
int main()
Main function.
Definition: binary_exponent.cpp:55
MinHeapNode
Definition: huffman.cpp:7
main
int main()
Definition: line_segment_intersection.cpp:92
diff --git a/d7/db9/hill__cipher_8cpp.html b/d7/db9/hill__cipher_8cpp.html index a9c6d7cb3..7852fe515 100644 --- a/d7/db9/hill__cipher_8cpp.html +++ b/d7/db9/hill__cipher_8cpp.html @@ -395,6 +395,7 @@ Here is the call graph for this function:
tolowerRoman
std::string tolowerRoman(int n)
Definition: decimal_to_roman_numeral.cpp:24
test_f
void test_f(const int NUM_DATA)
Definition: shell_sort2.cpp:145
string_search
String search algorithms.
Definition: brute_force_string_searching.cpp:13
+
print
void print(uint32_t N, const bool *isprime)
Definition: sieve_of_eratosthenes.cpp:38
MAX
#define MAX
Definition: fibonacci_fast.cpp:27
show_data
void show_data(T *arr, size_t LEN)
Definition: shell_sort2.cpp:18
std::list
STL class.
@@ -414,7 +415,6 @@ Here is the call graph for this function:
absolutePrecision
#define absolutePrecision
Definition: ternary_search.cpp:22
ans
ll ans(ll n)
Definition: matrix_exponentiation.cpp:91
FenwickTree
Definition: fenwick_tree.cpp:17
-
print
void print(uint32_t N)
Definition: sieve_of_eratosthenes.cpp:40
sorting::insertionSort
void insertionSort(T *arr, int n)
Insertion Sort Function.
Definition: insertion_sort.cpp:59
HASHMAX
#define HASHMAX
Determines the length of the hash table.
Definition: hash_search.cpp:22
PRIME
#define PRIME
Prime modulus for hash functions.
Definition: rabin_karp.cpp:16
diff --git a/d8/ddf/sieve__of__eratosthenes_8cpp.html b/d8/ddf/sieve__of__eratosthenes_8cpp.html index 01cfe2798..0c7399d28 100644 --- a/d8/ddf/sieve__of__eratosthenes_8cpp.html +++ b/d8/ddf/sieve__of__eratosthenes_8cpp.html @@ -91,9 +91,7 @@ $(document).ready(function(){initNavTree('d8/ddf/sieve__of__eratosthenes_8cpp.ht
-Macros | -Functions | -Variables
+Functions
sieve_of_eratosthenes.cpp File Reference
@@ -109,72 +107,21 @@ Include dependency graph for sieve_of_eratosthenes.cpp: - - - -

-Macros

#define MAX   10000000
 
- - - - - - + + + + -

Functions

void sieve (uint32_t N)
 
void print (uint32_t N)
 
void init ()
 
void sieve (uint32_t N, bool *isprime)
 
void print (uint32_t N, const bool *isprime)
 
int main ()
 
- - -

-Variables

bool isprime [MAX]
 

Detailed Description

Get list of prime numbers using Sieve of Eratosthenes Sieve of Eratosthenes is an algorithm to find the primes that is between 2 to N (as defined in main).

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

See also
primes_up_to_billion.cpp prime_numbers.cpp
-

Macro Definition Documentation

- -

◆ MAX

- -
-
- - - - -
#define MAX   10000000
-
-

Maximum number of primes

- -
-
-

Function Documentation

- -

◆ init()

- -
-
- - - - - - - -
void init ()
-
-

Initialize the array

-
52  {
-
53  for (uint32_t i = 1; i < MAX; i++) {
-
54  isprime[i] = true;
-
55  }
-
56 }
-
-
-
+

Function Documentation

◆ main()

@@ -189,25 +136,27 @@ Space Complexity : \(O(N)\)

-

main function

-
59  {
-
60  uint32_t N = 100;
-
61  init();
-
62  sieve(N);
-
63  print(N);
-
64  return 0;
-
65 }
+

Main function

+
50  {
+
51  uint32_t N = 100;
+
52  bool *isprime = new bool[N];
+
53  sieve(N, isprime);
+
54  print(N, isprime);
+
55  delete[] isprime;
+
56 
+
57  return 0;
+
58 }
Here is the call graph for this function:
-
+
- -

◆ print()

+ +

◆ print()

@@ -216,31 +165,47 @@ Here is the call graph for this function:
void print ( uint32_t  - N) + N, + + + + const bool *  + isprime  + + + + ) +
-

This function prints out the primes to STDOUT

-
40  {
-
41  for (uint32_t i = 1; i <= N; i++) {
-
42  if (isprime[i]) {
-
43  std::cout << i << ' ';
-
44  }
-
45  }
-
46  std::cout << std::endl;
-
47 }
+

This function prints out the primes to STDOUT

Parameters
+ + + +
Nnumber of primes to check
[in]isprimea boolean array of size N identifying if i^th number is prime or not
+
+
+
38  {
+
39  for (uint32_t i = 2; i <= N; i++) {
+
40  if (!isprime[i]) {
+
41  std::cout << i << ' ';
+
42  }
+
43  }
+
44  std::cout << std::endl;
+
45 }
Here is the call graph for this function:
-
+
- -

◆ sieve()

+ +

◆ sieve()

@@ -249,51 +214,49 @@ Here is the call graph for this function:
void sieve ( uint32_t  - N) - + N, - -
-

This is the function that finds the primes and eliminates the multiples.

-
25  {
-
26  isprime[0] = false;
-
27  isprime[1] = false;
-
28  for (uint32_t i = 2; i <= N; i++) {
-
29  if (isprime[i]) {
-
30  for (uint32_t j = (i << 1); j <= N; j += i) {
-
31  isprime[j] = false;
-
32  }
-
33  }
-
34  }
-
35 }
-
-
-
-

Variable Documentation

- -

◆ isprime

- -
-
- - + + + + + + + + +
bool isprime[MAX]bool * isprime 
)
-

array to store the primes

- +

This is the function that finds the primes and eliminates the multiples.

Parameters
+ + + +
Nnumber of primes to check
[out]isprimea boolean array of size N identifying if i^th number is prime or not
+
+
+
21  {
+
22  isprime[0] = true;
+
23  isprime[1] = true;
+
24  for (uint32_t i = 2; i * i <= N; i++) {
+
25  if (!isprime[i]) {
+
26  for (uint32_t j = (i << 1); j <= N; j = j + i) {
+
27  isprime[j] = true;
+
28  }
+
29  }
+
30  }
+
31 }
+
-
print
void print(uint32_t N)
Definition: sieve_of_eratosthenes.cpp:40
-
init
void init()
Definition: sieve_of_eratosthenes.cpp:52
+
print
void print(uint32_t N, const bool *isprime)
Definition: sieve_of_eratosthenes.cpp:38
std::cout
-
sieve
void sieve(uint32_t N)
Definition: sieve_of_eratosthenes.cpp:25
-
MAX
#define MAX
Definition: sieve_of_eratosthenes.cpp:16
+
sieve
void sieve(uint32_t N, bool *isprime)
Definition: sieve_of_eratosthenes.cpp:21
std::endl
T endl(T... args)
-
isprime
bool isprime[MAX]
Definition: sieve_of_eratosthenes.cpp:19
+
isprime
bool isprime[1000006]
Definition: prime_factorization.cpp:13
diff --git a/globals_p.html b/globals_p.html index f8d03aa9e..ec517f100 100644 --- a/globals_p.html +++ b/globals_p.html @@ -146,7 +146,7 @@ $(document).ready(function(){initNavTree('globals_p.html',''); initResizable(); : prime_numbers.cpp
  • print() -: sieve_of_eratosthenes.cpp +: sieve_of_eratosthenes.cpp
  • printArray() : heap_sort.cpp diff --git a/globals_s.html b/globals_s.html index 288e37873..97336d23c 100644 --- a/globals_s.html +++ b/globals_s.html @@ -125,7 +125,7 @@ $(document).ready(function(){initNavTree('globals_s.html',''); initResizable(); : pascal_triangle.cpp
  • sieve() -: sieve_of_eratosthenes.cpp +: sieve_of_eratosthenes.cpp
  • Sieve() : primes_up_to_billion.cpp diff --git a/globals_vars.html b/globals_vars.html index 5f425810b..9fd5b564b 100644 --- a/globals_vars.html +++ b/globals_vars.html @@ -108,7 +108,6 @@ $(document).ready(function(){initNavTree('globals_vars.html',''); initResizable(
  • isprime : prime_factorization.cpp -, sieve_of_eratosthenes.cpp
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