diff --git a/annotated.html b/annotated.html index 4ae138a8d..94d2a55f9 100644 --- a/annotated.html +++ b/annotated.html @@ -158,7 +158,7 @@ $(document).ready(function(){initNavTree('annotated.html',''); initResizable();  CDenseLayer  CNeuralNetwork  Cadaline - ►NmathFor std::rand + ►NmathFor IO operations  ►Nncr_modulo_p  CNCRModuloPClass which contains all methods required for calculating nCr mod p  CPoint diff --git a/d0/d51/approximate__pi_8cpp.html b/d0/d51/approximate__pi_8cpp.html index 48667acd0..b1a692dcb 100644 --- a/d0/d51/approximate__pi_8cpp.html +++ b/d0/d51/approximate__pi_8cpp.html @@ -125,7 +125,7 @@ Classes

Namespaces

namespace  math - for std::rand
+ for IO operations
  - +

diff --git a/d0/d6d/modular__exponentiation_8cpp.html b/d0/d6d/modular__exponentiation_8cpp.html index 9534e9c3a..831349b9e 100644 --- a/d0/d6d/modular__exponentiation_8cpp.html +++ b/d0/d6d/modular__exponentiation_8cpp.html @@ -118,7 +118,7 @@ Include dependency graph for modular_exponentiation.cpp:

Namespaces

namespace  math
 for std::rand
 for IO operations
 
- +

diff --git a/d1/dbb/n__choose__r_8cpp.html b/d1/dbb/n__choose__r_8cpp.html index 481a8cc23..854caf930 100644 --- a/d1/dbb/n__choose__r_8cpp.html +++ b/d1/dbb/n__choose__r_8cpp.html @@ -118,7 +118,7 @@ Include dependency graph for n_choose_r.cpp:

Namespaces

namespace  math
 for std::rand
 for IO operations
 
- +

diff --git a/d1/de9/integral__approximation_8cpp.html b/d1/de9/integral__approximation_8cpp.html index 608ede337..9d389eb38 100644 --- a/d1/de9/integral__approximation_8cpp.html +++ b/d1/de9/integral__approximation_8cpp.html @@ -120,7 +120,7 @@ Include dependency graph for integral_approximation.cpp:

Namespaces

namespace  math
 for std::rand
 for IO operations
 
- +

diff --git a/d3/dfe/perimeter_8cpp.html b/d3/dfe/perimeter_8cpp.html index 66d596b8a..fe8689659 100644 --- a/d3/dfe/perimeter_8cpp.html +++ b/d3/dfe/perimeter_8cpp.html @@ -121,7 +121,7 @@ Include dependency graph for perimeter.cpp:

Namespaces

namespace  math
 for std::rand
 for IO operations
 
- +

diff --git a/d4/d38/power__of__two_8cpp.html b/d4/d38/power__of__two_8cpp.html index 122ef8cd5..88ea0ecfb 100644 --- a/d4/d38/power__of__two_8cpp.html +++ b/d4/d38/power__of__two_8cpp.html @@ -118,7 +118,7 @@ Include dependency graph for power_of_two.cpp:

Namespaces

namespace  math
 for std::rand
 for IO operations
 
- +

diff --git a/d4/d9d/sum__of__binomial__coefficient_8cpp.html b/d4/d9d/sum__of__binomial__coefficient_8cpp.html index c7e86019d..eaecd3e75 100644 --- a/d4/d9d/sum__of__binomial__coefficient_8cpp.html +++ b/d4/d9d/sum__of__binomial__coefficient_8cpp.html @@ -118,7 +118,7 @@ Include dependency graph for sum_of_binomial_coefficient.cpp:

Namespaces

namespace  math
 for std::rand
 for IO operations
 
- +

diff --git a/d5/d7a/largest__power_8cpp.html b/d5/d7a/largest__power_8cpp.html index a6d208b10..a15ec5c14 100644 --- a/d5/d7a/largest__power_8cpp.html +++ b/d5/d7a/largest__power_8cpp.html @@ -118,7 +118,7 @@ Include dependency graph for largest_power.cpp:

Namespaces

namespace  math
 for std::rand
 for IO operations
 
- +

diff --git a/d5/d83/lcm__sum_8cpp.html b/d5/d83/lcm__sum_8cpp.html index 29eb1eaf7..b6c727d66 100644 --- a/d5/d83/lcm__sum_8cpp.html +++ b/d5/d83/lcm__sum_8cpp.html @@ -120,7 +120,7 @@ Include dependency graph for lcm_sum.cpp:

Namespaces

namespace  math
 for std::rand
 for IO operations
 
- + diff --git a/d9/d44/magic__number_8cpp.html b/d9/d44/magic__number_8cpp.html index 0f069fe55..2defebc00 100644 --- a/d9/d44/magic__number_8cpp.html +++ b/d9/d44/magic__number_8cpp.html @@ -118,7 +118,7 @@ Include dependency graph for magic_number.cpp: - +

diff --git a/d8/db1/binomial__calculate_8cpp.html b/d8/db1/binomial__calculate_8cpp.html index 59a06ca06..738a769d4 100644 --- a/d8/db1/binomial__calculate_8cpp.html +++ b/d8/db1/binomial__calculate_8cpp.html @@ -120,7 +120,7 @@ Include dependency graph for binomial_calculate.cpp:

Namespaces

namespace  math
 for std::rand
 for IO operations
 
namespace  binomial
 Functions for Binomial coefficients implementation.

Namespaces

namespace  math
 for std::rand
 for IO operations
 
- +

diff --git a/da/d39/volume_8cpp.html b/da/d39/volume_8cpp.html index 9fa9206ed..2eb9518f1 100644 --- a/da/d39/volume_8cpp.html +++ b/da/d39/volume_8cpp.html @@ -120,7 +120,7 @@ Include dependency graph for volume.cpp:

Namespaces

namespace  math
 for std::rand
 for IO operations
 
- + diff --git a/db/d40/integral__approximation2_8cpp.html b/db/d40/integral__approximation2_8cpp.html index 99bee35a1..6eee53ed4 100644 --- a/db/d40/integral__approximation2_8cpp.html +++ b/db/d40/integral__approximation2_8cpp.html @@ -125,7 +125,7 @@ Include dependency graph for integral_approximation2.cpp: - + diff --git a/db/d4a/aliquot__sum_8cpp__incl.map b/db/d4a/aliquot__sum_8cpp__incl.map new file mode 100644 index 000000000..fe4504283 --- /dev/null +++ b/db/d4a/aliquot__sum_8cpp__incl.map @@ -0,0 +1,5 @@ + + + + + diff --git a/db/d4a/aliquot__sum_8cpp__incl.md5 b/db/d4a/aliquot__sum_8cpp__incl.md5 new file mode 100644 index 000000000..63a6097c4 --- /dev/null +++ b/db/d4a/aliquot__sum_8cpp__incl.md5 @@ -0,0 +1 @@ +be3e7d80724e2e82a5a146b27ea1bd7a \ No newline at end of file diff --git a/db/d4a/aliquot__sum_8cpp__incl.svg b/db/d4a/aliquot__sum_8cpp__incl.svg new file mode 100644 index 000000000..bcd2b774d --- /dev/null +++ b/db/d4a/aliquot__sum_8cpp__incl.svg @@ -0,0 +1,51 @@ + + + + + + +math/aliquot_sum.cpp + + +Node1 + + +math/aliquot_sum.cpp + + + + + +Node2 + + +cassert + + + + + +Node1->Node2 + + + + + +Node3 + + +iostream + + + + + +Node1->Node3 + + + + + diff --git a/dc/d82/area_8cpp.html b/dc/d82/area_8cpp.html index aa327076a..8b307adbc 100644 --- a/dc/d82/area_8cpp.html +++ b/dc/d82/area_8cpp.html @@ -121,7 +121,7 @@ Include dependency graph for area.cpp: - +

diff --git a/db/d27/n__bonacci_8cpp.html b/db/d27/n__bonacci_8cpp.html index 022b0e24e..16b4c017e 100644 --- a/db/d27/n__bonacci_8cpp.html +++ b/db/d27/n__bonacci_8cpp.html @@ -120,7 +120,7 @@ Include dependency graph for n_bonacci.cpp:

Namespaces

namespace  math
 for std::rand
 for IO operations
 
namespace  n_bonacci
 Functions for the N-bonacci implementation.

Namespaces

namespace  math
 for std::rand
 for IO operations
 
namespace  monte_carlo
 Functions for the Monte Carlo Integration implementation.

Namespaces

namespace  math
 for std::rand
 for IO operations
 
- + diff --git a/de/dc3/fibonacci__sum_8cpp.html b/de/dc3/fibonacci__sum_8cpp.html index f92266771..b9d45a4b4 100644 --- a/de/dc3/fibonacci__sum_8cpp.html +++ b/de/dc3/fibonacci__sum_8cpp.html @@ -121,7 +121,7 @@ Include dependency graph for fibonacci_sum.cpp: - + - + diff --git a/df/d72/modular__division_8cpp.html b/df/d72/modular__division_8cpp.html index bef111d00..27f7690c0 100644 --- a/df/d72/modular__division_8cpp.html +++ b/df/d72/modular__division_8cpp.html @@ -118,7 +118,7 @@ Include dependency graph for modular_division.cpp: - + diff --git a/dir_296d53ceaeaa7e099814a6def439fe8a.html b/dir_296d53ceaeaa7e099814a6def439fe8a.html index 0eb706609..55d498c6c 100644 --- a/dir_296d53ceaeaa7e099814a6def439fe8a.html +++ b/dir_296d53ceaeaa7e099814a6def439fe8a.html @@ -103,6 +103,9 @@ $(document).ready(function(){initNavTree('dir_296d53ceaeaa7e099814a6def439fe8a.h

diff --git a/dd/d47/namespacemath.html b/dd/d47/namespacemath.html index ea1c359b6..d87e66372 100644 --- a/dd/d47/namespacemath.html +++ b/dd/d47/namespacemath.html @@ -104,7 +104,7 @@ $(document).ready(function(){initNavTree('dd/d47/namespacemath.html','../../');
-

for std::rand +

for IO operations More...

@@ -114,6 +114,8 @@ Classes

+ + @@ -235,15 +237,17 @@ Functions

Functions

uint64_t aliquot_sum (const uint64_t num)
 
double approximate_pi (const std::vector< Point > &pts)
 
template<typename T >
 

Detailed Description

-

for std::rand

+

for IO operations

for std::cin and std::cout

for io operations

Evaluate recurrence relation using matrix exponentiation.

for assert

Math algorithms.

for std::vector

-

for IO operations

for M_PI definition and pow()

+

for std::rand

+

for assert

+

Mathematical algorithms

for IO operations for std::vector

Mathematical algorithms

for assert for uint16_t datatype for IO operations

@@ -263,8 +267,6 @@ Algorithm

This problem can be solved using matrix exponentiation method.

See also
here for simple number exponentiation algorithm or explaination here.
Author
Ashish Daulatabad for assert for IO operations for std::vector STL

Mathematical algorithms

-

for assert

-

Mathematical algorithms

for std::is_equal, std::swap for assert for IO operations

Mathematical algorithms

for assert for io operations

@@ -276,6 +278,46 @@ Algorithm

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

Mathematical algorithms

Function Documentation

+ +

◆ aliquot_sum()

+ +
+
+ + + + + + + + +
uint64_t math::aliquot_sum (const uint64_t num)
+
+

Function to return the aliquot sum of a number

Parameters
+ + +
numThe input number
+
+
+
26 {
+
27 if (num == 0 || num == 1) {
+
28 return 0; // The aliquot sum for 0 and 1 is 0
+
29 }
+
30
+
31 uint64_t sum = 0;
+
32
+
33 for (uint64_t i = 1; i <= num / 2; i++) {
+
34 if (num % i == 0) {
+
35 sum += i;
+
36 }
+
37 }
+
38
+
39 return sum;
+
40}
+
machine_learning::sum
T sum(const std::vector< std::valarray< T > > &A)
Definition: vector_ops.hpp:232
+
+
+

◆ approximate_pi()

diff --git a/dd/d47/namespacemath.js b/dd/d47/namespacemath.js index 818c4a47b..4e1cb5bab 100644 --- a/dd/d47/namespacemath.js +++ b/dd/d47/namespacemath.js @@ -1,6 +1,7 @@ var namespacemath = [ [ "Point", "de/d4f/structmath_1_1_point.html", null ], + [ "aliquot_sum", "dd/d47/namespacemath.html#ab37f3a7302a84179aae682c79d8390bf", null ], [ "approximate_pi", "dd/d47/namespacemath.html#abf7f2a6d91f1ca6c89698792aea3f188", null ], [ "binomialCoeffSum", "dd/d47/namespacemath.html#ae1ca505751f5a6d3977b86372cfe75ea", null ], [ "circle_area", "dd/d47/namespacemath.html#a40e36c67da78d2131408c57ee091ad75", null ], diff --git a/de/d99/aliquot__sum_8cpp.html b/de/d99/aliquot__sum_8cpp.html new file mode 100644 index 000000000..20aefeb8a --- /dev/null +++ b/de/d99/aliquot__sum_8cpp.html @@ -0,0 +1,231 @@ + + + + + + + +Algorithms_in_C++: math/aliquot_sum.cpp File Reference + + + + + + + + + + + + + + + +
+
+ + + + + + +
+
Algorithms_in_C++ 1.0.0 +
+
Set of algorithms implemented in C++.
+
+
+ + + + + + + +
+
+ +
+
+
+ +
+ +
+
+ + +
+
+
+
+
+
Loading...
+
Searching...
+
No Matches
+
+
+
+
+ +
+
+Namespaces | +Functions
+
aliquot_sum.cpp File Reference
+
+
+ +

Program to return the Aliquot Sum of a number. +More...

+
#include <cassert>
+#include <iostream>
+
+Include dependency graph for aliquot_sum.cpp:
+
+
+
+
+
+ + + + +

+Namespaces

namespace  math
 for IO operations
 
+ + + + + + + + + +

+Functions

uint64_t math::aliquot_sum (const uint64_t num)
 
static void test ()
 Self-test implementations.
 
int main ()
 Main function.
 
+

Detailed Description

+

Program to return the Aliquot Sum of a number.

+

The Aliquot sum s(n) of a non-negative integer n is the sum of all proper divisors of n, that is, all the divisors of n, other than itself. For example, the Aliquot sum of 18 = 1 + 2 + 3 + 6 + 9 = 21

+
Author
SpiderMath
+

Function Documentation

+ +

◆ main()

+ +
+
+ + + + + + + + +
int main (void )
+
+ +

Main function.

+
Returns
0 on exit
+
64 {
+
65 test(); // run the self-test implementations
+
66
+
67 return 0;
+
68}
+
test
static void test()
Self-test implementations.
Definition: aliquot_sum.cpp:47
+
+Here is the call graph for this function:
+
+
+
+
+ +
+
+ +

◆ test()

+ +
+
+ + + + + +
+ + + + + + + +
static void test ()
+ 		+static
+
+ +

Self-test implementations.

+
Returns
void
+
47 {
+
48 // Aliquot sum of 10 is 1 + 2 + 5 = 8
+
49 assert(math::aliquot_sum(10) == 8);
+
50 // Aliquot sum of 15 is 1 + 3 + 5 = 9
+
51 assert(math::aliquot_sum(15) == 9);
+
52 // Aliquot sum of 1 is 0
+
53 assert(math::aliquot_sum(1) == 0);
+
54 // Aliquot sum of 97 is 1 (the aliquot sum of a prime number is 1)
+
55 assert(math::aliquot_sum(97) == 1);
+
56
+
57 std::cout << "All the tests have successfully passed!\n";
+
58}
+ +
math::aliquot_sum
uint64_t aliquot_sum(const uint64_t num)
Definition: aliquot_sum.cpp:26
+
+Here is the call graph for this function:
+
+
+
+
+ +
+
+
+
+ + + + diff --git a/de/d99/aliquot__sum_8cpp.js b/de/d99/aliquot__sum_8cpp.js new file mode 100644 index 000000000..7afbab398 --- /dev/null +++ b/de/d99/aliquot__sum_8cpp.js @@ -0,0 +1,6 @@ +var aliquot__sum_8cpp = +[ + [ "aliquot_sum", "de/d99/aliquot__sum_8cpp.html#ab37f3a7302a84179aae682c79d8390bf", null ], + [ "main", "de/d99/aliquot__sum_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4", null ], + [ "test", "de/d99/aliquot__sum_8cpp.html#aa8dca7b867074164d5f45b0f3851269d", null ] +]; \ No newline at end of file diff --git a/de/d99/aliquot__sum_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.map b/de/d99/aliquot__sum_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.map new file mode 100644 index 000000000..3f023c061 --- /dev/null +++ b/de/d99/aliquot__sum_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.map @@ -0,0 +1,4 @@ + + + + diff --git a/de/d99/aliquot__sum_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.md5 b/de/d99/aliquot__sum_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.md5 new file mode 100644 index 000000000..772082458 --- /dev/null +++ b/de/d99/aliquot__sum_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.md5 @@ -0,0 +1 @@ +cd7f06e1a3a183a6a266a69596982a8e \ No newline at end of file diff --git a/de/d99/aliquot__sum_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.svg b/de/d99/aliquot__sum_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.svg new file mode 100644 index 000000000..90283a8c2 --- /dev/null +++ b/de/d99/aliquot__sum_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.svg @@ -0,0 +1,36 @@ + + + + + + +test + + +Node1 + + +test + + + + + +Node2 + + +math::aliquot_sum + + + + + +Node1->Node2 + + + + + diff --git a/de/d99/aliquot__sum_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.map b/de/d99/aliquot__sum_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.map new file mode 100644 index 000000000..2f5dbf3b9 --- /dev/null +++ b/de/d99/aliquot__sum_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.map @@ -0,0 +1,5 @@ + + + + + diff --git a/de/d99/aliquot__sum_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5 b/de/d99/aliquot__sum_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5 new file mode 100644 index 000000000..8cb80d70e --- /dev/null +++ b/de/d99/aliquot__sum_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5 @@ -0,0 +1 @@ +d6eb87ed98ed35ec031681a9347d42b0 \ No newline at end of file diff --git a/de/d99/aliquot__sum_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg b/de/d99/aliquot__sum_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg new file mode 100644 index 000000000..f1bb56cca --- /dev/null +++ b/de/d99/aliquot__sum_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg @@ -0,0 +1,51 @@ + + + + + + +main + + +Node1 + + +main + + + + + +Node2 + + +test + + + + + +Node1->Node2 + + + + + +Node3 + + +math::aliquot_sum + + + + + +Node2->Node3 + + + + + diff --git a/de/dab/ncr__modulo__p_8cpp.html b/de/dab/ncr__modulo__p_8cpp.html index 642d837e0..f7d596e0c 100644 --- a/de/dab/ncr__modulo__p_8cpp.html +++ b/de/dab/ncr__modulo__p_8cpp.html @@ -126,7 +126,7 @@ Classes

Namespaces

namespace  math
 for std::rand
 for IO operations
 
namespace  ncr_modulo_p
 Functions for nCr modulo p implementation.

Namespaces

namespace  math
 for std::rand
 for IO operations
 
namespace  fibonacci_sum
 Functions for the sum of the Fibonacci Sequence: \(\mathrm{F}(n) + diff --git a/df/d66/vector__cross__product_8cpp.html b/df/d66/vector__cross__product_8cpp.html index d1afef9d1..227f2aab9 100644 --- a/df/d66/vector__cross__product_8cpp.html +++ b/df/d66/vector__cross__product_8cpp.html @@ -120,7 +120,7 @@ Include dependency graph for vector_cross_product.cpp:

Namespaces

namespace  math
 for std::rand
 for IO operations
 
namespace  vector_cross
 Functions for Vector Cross Product algorithms.

Namespaces

namespace  math
 for std::rand
 for IO operations
 
namespace  modular_division
 Functions for Modular Division implementation.
+ + + diff --git a/dir_296d53ceaeaa7e099814a6def439fe8a.js b/dir_296d53ceaeaa7e099814a6def439fe8a.js index 111fb534e..cf5fd6eae 100644 --- a/dir_296d53ceaeaa7e099814a6def439fe8a.js +++ b/dir_296d53ceaeaa7e099814a6def439fe8a.js @@ -1,5 +1,6 @@ var dir_296d53ceaeaa7e099814a6def439fe8a = [ + [ "aliquot_sum.cpp", "de/d99/aliquot__sum_8cpp.html", "de/d99/aliquot__sum_8cpp" ], [ "approximate_pi.cpp", "d0/d51/approximate__pi_8cpp.html", "d0/d51/approximate__pi_8cpp" ], [ "area.cpp", "dc/d82/area_8cpp.html", "dc/d82/area_8cpp" ], [ "armstrong_number.cpp", "d4/d5d/math_2armstrong__number_8cpp.html", "d4/d5d/math_2armstrong__number_8cpp" ], diff --git a/files.html b/files.html index c5dc2df65..c0e3b0809 100644 --- a/files.html +++ b/files.html @@ -212,64 +212,65 @@ solve-a-rat-in-a-maze-c-java-pytho/" target="_blank">Rat in a Maze algorithm - - - - - - - - - - - - - - - - - - - + + + + + + + + + + + + + + + + + + + - - - - - - - - - - - + + + + + + + + + + - - - - - - - - - - - - - - - - - - - - + + + + + + + + + + + + + + + + + + + - - - - - + + + + + diff --git a/globals_func_i.html b/globals_func_i.html index 1517fd721..d8a85457a 100644 --- a/globals_func_i.html +++ b/globals_func_i.html @@ -111,8 +111,8 @@ $(document).ready(function(){initNavTree('globals_func_i.html',''); initResizabl
  • is_happy() : happy_number.cpp
  • is_prime() : check_prime.cpp
  • is_square() : ordinary_least_squares_regressor.cpp
    • -
  • IsPrime() : primality_test.cpp
  • isPrime() : modular_inverse_fermat_little_theorem.cpp
    • +
  • IsPrime() : primality_test.cpp
  • it_ternary_search() : ternary_search.cpp
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    Files

    file  aliquot_sum.cpp
     Program to return the Aliquot Sum of a number.
     
    file  approximate_pi.cpp
     Implementation to calculate an estimate of the number π (Pi).
     
     ► math
     ► numerical_methods
     Nmagic_sequenceFunctions for the Magic sequence implementation
     NmanacherFunctions for Manacher's Algorithm implementation
     ►NmathFor std::rand
     ►NmathFor IO operations
     NMD5Functions for the MD5 algorithm implementation
     Nmedian_searchFunctions for Median search algorithm