diff --git a/d1/da6/rungekutta_8cpp.html b/d1/da6/rungekutta_8cpp.html index 66018d877..d05d8c70f 100644 --- a/d1/da6/rungekutta_8cpp.html +++ b/d1/da6/rungekutta_8cpp.html @@ -112,7 +112,7 @@ Include dependency graph for rungekutta.cpp:

Namespaces

namespace  numerical_methods - for std::map container
+ for IO operations
  namespace  runge_kutta  Functions for Runge Kutta fourth order method.
diff --git a/d1/de0/namespacenumerical__methods.html b/d1/de0/namespacenumerical__methods.html index c57f22985..565dba89f 100644 --- a/d1/de0/namespacenumerical__methods.html +++ b/d1/de0/namespacenumerical__methods.html @@ -96,11 +96,14 @@ $(document).ready(function(){initNavTree('d1/de0/namespacenumerical__methods.htm
-

for std::map container +

for IO operations More...

+ + + @@ -109,10 +112,13 @@ Functions

Functions

double babylonian_method (double radicand)
 Babylonian methods is an iterative function which returns square root of radicand. More...
 
std::complex< double > * FastFourierTransform (std::complex< double > *p, uint8_t n)
 FastFourierTransform is a recursive function which returns list of complex numbers. More...
 
 

Detailed Description

-

for std::map container

+

for IO operations

Numerical Methods.

for std::vector

for io operations

+

for std::map container

+

for assert

+

Numerical algorithms/methods

for assert for math functions for integer allocation for std::atof for std::function for IO operations

Numerical algorithms/methods

for math operations

@@ -120,6 +126,70 @@ Functions

for assert for mathematical-related functions for storing points and coefficents for IO operations

Numerical algorithms/methods

Function Documentation

+ +

◆ babylonian_method()

+ +
+
+ + + + + + + + +
double numerical_methods::babylonian_method (double radicand)
+
+ +

Babylonian methods is an iterative function which returns square root of radicand.

+
Parameters
+ + +
radicandis the radicand
+
+
+
Returns
x1 the square root of radicand
+

To find initial root or rough approximation

+

Real Initial value will be i-1 as loop stops on +1 value

+

Storing previous value for comparison

+

Storing calculated value for comparison

+

Temp variable to x0 and x1

+

Newly calculated root

+

Returning final root

+
31 {
+
32 int i = 1; /// To find initial root or rough approximation
+
33
+
34 while (i * i <= radicand) {
+
35 i++;
+
36 }
+
37
+
38 i--; /// Real Initial value will be i-1 as loop stops on +1 value
+
39
+
40 double x0 = i; /// Storing previous value for comparison
+
41 double x1 =
+
42 (radicand / x0 + x0) / 2; /// Storing calculated value for comparison
+
43 double temp = NAN; /// Temp variable to x0 and x1
+
44
+
45 while (std::max(x0, x1) - std::min(x0, x1) < 0.0001) {
+
46 temp = (radicand / x1 + x1) / 2; /// Newly calculated root
+
47 x0 = x1;
+
48 x1 = temp;
+
49 }
+
50
+
51 return x1; /// Returning final root
+
52}
+
std::max
T max(T... args)
+
std::min
T min(T... args)
+
+Here is the call graph for this function:
+
+
+
+
+ +
+

◆ FastFourierTransform()

diff --git a/d1/de0/namespacenumerical__methods_a28e67885f8606564cc8335f483f63309_cgraph.map b/d1/de0/namespacenumerical__methods_a28e67885f8606564cc8335f483f63309_cgraph.map new file mode 100644 index 000000000..de945c445 --- /dev/null +++ b/d1/de0/namespacenumerical__methods_a28e67885f8606564cc8335f483f63309_cgraph.map @@ -0,0 +1,5 @@ + + + + + diff --git a/d1/de0/namespacenumerical__methods_a28e67885f8606564cc8335f483f63309_cgraph.md5 b/d1/de0/namespacenumerical__methods_a28e67885f8606564cc8335f483f63309_cgraph.md5 new file mode 100644 index 000000000..917a19b24 --- /dev/null +++ b/d1/de0/namespacenumerical__methods_a28e67885f8606564cc8335f483f63309_cgraph.md5 @@ -0,0 +1 @@ +71ff3c67d0f7baa96da15aad422a9bcc \ No newline at end of file diff --git a/d1/de0/namespacenumerical__methods_a28e67885f8606564cc8335f483f63309_cgraph.svg b/d1/de0/namespacenumerical__methods_a28e67885f8606564cc8335f483f63309_cgraph.svg new file mode 100644 index 000000000..5bc20c8ac --- /dev/null +++ b/d1/de0/namespacenumerical__methods_a28e67885f8606564cc8335f483f63309_cgraph.svg @@ -0,0 +1,53 @@ + + + + + + +numerical_methods::babylonian_method + + + +Node1 + + +numerical_methods:: +babylonian_method + + + + + +Node2 + + +std::max + + + + + +Node1->Node2 + + + + + +Node3 + + +std::min + + + + + +Node1->Node3 + + + + + diff --git a/d4/d08/babylonian__method_8cpp__incl.map b/d4/d08/babylonian__method_8cpp__incl.map new file mode 100644 index 000000000..9eb91ab14 --- /dev/null +++ b/d4/d08/babylonian__method_8cpp__incl.map @@ -0,0 +1,6 @@ + + + + + + diff --git a/d4/d08/babylonian__method_8cpp__incl.md5 b/d4/d08/babylonian__method_8cpp__incl.md5 new file mode 100644 index 000000000..93b2e9ad6 --- /dev/null +++ b/d4/d08/babylonian__method_8cpp__incl.md5 @@ -0,0 +1 @@ +006111d22b19eae1139acf05ad55a8b4 \ No newline at end of file diff --git a/d4/d08/babylonian__method_8cpp__incl.svg b/d4/d08/babylonian__method_8cpp__incl.svg new file mode 100644 index 000000000..513c58902 --- /dev/null +++ b/d4/d08/babylonian__method_8cpp__incl.svg @@ -0,0 +1,68 @@ + + + + + + +numerical_methods/babylonian_method.cpp + + + +Node1 + + +numerical_methods/babylonian +_method.cpp + + + + + +Node2 + + +cassert + + + + + +Node1->Node2 + + + + + +Node3 + + +iostream + + + + + +Node1->Node3 + + + + + +Node4 + + +math.h + + + + + +Node1->Node4 + + + + + diff --git a/d4/d18/composite__simpson__rule_8cpp.html b/d4/d18/composite__simpson__rule_8cpp.html index f6fb1e6a6..d3689606f 100644 --- a/d4/d18/composite__simpson__rule_8cpp.html +++ b/d4/d18/composite__simpson__rule_8cpp.html @@ -116,7 +116,7 @@ Include dependency graph for composite_simpson_rule.cpp:

Namespaces

namespace  numerical_methods - for std::map container
+ for IO operations
  namespace  simpson_method  Contains the Simpson's method implementation.
diff --git a/d5/d88/md__d_i_r_e_c_t_o_r_y.html b/d5/d88/md__d_i_r_e_c_t_o_r_y.html index 7ac9538f3..3cf7c0f27 100644 --- a/d5/d88/md__d_i_r_e_c_t_o_r_y.html +++ b/d5/d88/md__d_i_r_e_c_t_o_r_y.html @@ -347,6 +347,7 @@ Math

Numerical Methods

Namespaces

namespace  numerical_methods - for std::map container
+ for IO operations
  - +

diff --git a/d9/d37/inverse__fast__fourier__transform_8cpp.html b/d9/d37/inverse__fast__fourier__transform_8cpp.html index 25d150e5f..b0ac23115 100644 --- a/d9/d37/inverse__fast__fourier__transform_8cpp.html +++ b/d9/d37/inverse__fast__fourier__transform_8cpp.html @@ -114,7 +114,7 @@ Include dependency graph for inverse_fast_fourier_transform.cpp:

Namespaces

namespace  numerical_methods
 for std::map container
 for IO operations
 
1206647803780373360 -3599979517947607200 8037811822645051776
-12870931245150988800 13803759753640704000 -8752948036761600000
2432902008176640000
-
numerical_methods
for std::map container
+
numerical_methods
for IO operations

Sample implementation results to compute approximate roots of the equation \(x^4-1=0\):
Error evolution during root approximations computed every iteration. Roots evolution - shows the initial approximation of the diff --git a/dc/d9c/babylonian__method_8cpp.html b/dc/d9c/babylonian__method_8cpp.html new file mode 100644 index 000000000..682e28069 --- /dev/null +++ b/dc/d9c/babylonian__method_8cpp.html @@ -0,0 +1,265 @@ +<!DOCTYPE html PUBLIC + + + + + + +Algorithms_in_C++: numerical_methods/babylonian_method.cpp File Reference + + + + + + + + + + + + + + + +

+
+

diff --git a/da/df2/durand__kerner__roots_8cpp.html b/da/df2/durand__kerner__roots_8cpp.html index a38c7b510..3017baea9 100644 --- a/da/df2/durand__kerner__roots_8cpp.html +++ b/da/df2/durand__kerner__roots_8cpp.html @@ -150,7 +150,7 @@ Functions

+ + + + + +
+
Algorithms_in_C++ 1.0.0 +
+
Set of algorithms implemented in C++.
+
+ + + + + + + + + +
+ +
+
+
+ +
+ +
+
+ + +
+ +
+ +
+
+Namespaces | +Functions
+
babylonian_method.cpp File Reference
+
+
+ +

A babylonian method (BM) is an algorithm that computes the square root. +More...

+
#include <cassert>
+#include <iostream>
+#include "math.h"
+
+Include dependency graph for babylonian_method.cpp:
+
+
+
+
+
+ + + + +

+Namespaces

namespace  numerical_methods
 for IO operations
 
+ + + + + + + + + + +

+Functions

double numerical_methods::babylonian_method (double radicand)
 Babylonian methods is an iterative function which returns square root of radicand. More...
 
static void test ()
 Self-test implementations. More...
 
int main (int argc, char const *argv[])
 Main function. More...
 
+

Detailed Description

+

A babylonian method (BM) is an algorithm that computes the square root.

+

This algorithm has an application in use case scenario where a user wants find accurate square roots of large numbers

Author
Ameya Chawla
+

Function Documentation

+ +

◆ main()

+ +
+
+ + + + + + + + + + + + + + + + + + +
int main (int argc,
char const * argv[] 
)
+
+ +

Main function.

+
Parameters
+ + + +
argccommandline argument count (ignored)
argvcommandline array of arguments (ignored) calls automated test function to test the working of fast fourier transform.
+
+
+
Returns
0 on exit
+
97 {
+
98 test(); // run self-test implementations
+
99 // with 2 defined test cases
+
100 return 0;
+
101}
+
test
static void test()
Self-test implementations.
Definition: babylonian_method.cpp:63
+
+Here is the call graph for this function:
+
+
+
+
+ +
+
+ +

◆ test()

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

Self-test implementations.

+

Declaring two test cases and checking for the error in predicted and true value is less than 0.0001.

Returns
void
+

Testcase 1

+

Testcase 2

+

Real Output 1

+

Real Output 2

+

Test result for testcase 1

+

Test result for testcase 2

+

Testing for test Case 1

+

Testing for test Case 2

+
63 {
+
64 /* descriptions of the following test */
+
65
+
66 auto testcase1 = 125348; /// Testcase 1
+
67 auto testcase2 = 752080; /// Testcase 2
+
68
+
69 auto real_output1 = 354.045194855; /// Real Output 1
+
70 auto real_output2 = 867.225460881; /// Real Output 2
+
71
+
72 auto test_result1 = numerical_methods::babylonian_method(testcase1);
+
73 /// Test result for testcase 1
+
74 auto test_result2 = numerical_methods::babylonian_method(testcase2);
+
75 /// Test result for testcase 2
+
76
+
77 assert(std::max(test_result1, real_output1) -
+
78 std::min(test_result1, real_output1) <
+
79 0.0001);
+
80 /// Testing for test Case 1
+
81 assert(std::max(test_result2, real_output2) -
+
82 std::min(test_result2, real_output2) <
+
83 0.0001);
+
84 /// Testing for test Case 2
+
85
+
86 std::cout << "All tests have successfully passed!\n";
+
87}
+ +
std::max
T max(T... args)
+
std::min
T min(T... args)
+
numerical_methods::babylonian_method
double babylonian_method(double radicand)
Babylonian methods is an iterative function which returns square root of radicand.
Definition: babylonian_method.cpp:31
+
+Here is the call graph for this function:
+
+
+
+
+ +
+
+
+
+ + + + diff --git a/dc/d9c/babylonian__method_8cpp.js b/dc/d9c/babylonian__method_8cpp.js new file mode 100644 index 000000000..7df58329a --- /dev/null +++ b/dc/d9c/babylonian__method_8cpp.js @@ -0,0 +1,6 @@ +var babylonian__method_8cpp = +[ + [ "babylonian_method", "dc/d9c/babylonian__method_8cpp.html#a28e67885f8606564cc8335f483f63309", null ], + [ "main", "dc/d9c/babylonian__method_8cpp.html#abf9e6b7e6f15df4b525a2e7705ba3089", null ], + [ "test", "dc/d9c/babylonian__method_8cpp.html#aa8dca7b867074164d5f45b0f3851269d", null ] +]; \ No newline at end of file diff --git a/dc/d9c/babylonian__method_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.map b/dc/d9c/babylonian__method_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.map new file mode 100644 index 000000000..38617ca14 --- /dev/null +++ b/dc/d9c/babylonian__method_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.map @@ -0,0 +1,6 @@ + + + + + + diff --git a/dc/d9c/babylonian__method_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.md5 b/dc/d9c/babylonian__method_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.md5 new file mode 100644 index 000000000..f36851892 --- /dev/null +++ b/dc/d9c/babylonian__method_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.md5 @@ -0,0 +1 @@ +19003ed02c1305b41ac4fcbbe9e4d454 \ No newline at end of file diff --git a/dc/d9c/babylonian__method_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.svg b/dc/d9c/babylonian__method_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.svg new file mode 100644 index 000000000..f9ac1c3fc --- /dev/null +++ b/dc/d9c/babylonian__method_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.svg @@ -0,0 +1,80 @@ + + + + + + +test + + + +Node1 + + +test + + + + + +Node2 + + +numerical_methods:: +babylonian_method + + + + + +Node1->Node2 + + + + + +Node3 + + +std::max + + + + + +Node1->Node3 + + + + + +Node4 + + +std::min + + + + + +Node1->Node4 + + + + + +Node2->Node3 + + + + + +Node2->Node4 + + + + + diff --git a/dc/d9c/babylonian__method_8cpp_abf9e6b7e6f15df4b525a2e7705ba3089_cgraph.map b/dc/d9c/babylonian__method_8cpp_abf9e6b7e6f15df4b525a2e7705ba3089_cgraph.map new file mode 100644 index 000000000..78b514984 --- /dev/null +++ b/dc/d9c/babylonian__method_8cpp_abf9e6b7e6f15df4b525a2e7705ba3089_cgraph.map @@ -0,0 +1,7 @@ + + + + + + + diff --git a/dc/d9c/babylonian__method_8cpp_abf9e6b7e6f15df4b525a2e7705ba3089_cgraph.md5 b/dc/d9c/babylonian__method_8cpp_abf9e6b7e6f15df4b525a2e7705ba3089_cgraph.md5 new file mode 100644 index 000000000..3abb6d423 --- /dev/null +++ b/dc/d9c/babylonian__method_8cpp_abf9e6b7e6f15df4b525a2e7705ba3089_cgraph.md5 @@ -0,0 +1 @@ +f0ff92e5b2bd8d2d7782f5d3112a0a71 \ No newline at end of file diff --git a/dc/d9c/babylonian__method_8cpp_abf9e6b7e6f15df4b525a2e7705ba3089_cgraph.svg b/dc/d9c/babylonian__method_8cpp_abf9e6b7e6f15df4b525a2e7705ba3089_cgraph.svg new file mode 100644 index 000000000..8bffac33d --- /dev/null +++ b/dc/d9c/babylonian__method_8cpp_abf9e6b7e6f15df4b525a2e7705ba3089_cgraph.svg @@ -0,0 +1,95 @@ + + + + + + +main + + + +Node1 + + +main + + + + + +Node2 + + +test + + + + + +Node1->Node2 + + + + + +Node3 + + +numerical_methods:: +babylonian_method + + + + + +Node2->Node3 + + + + + +Node4 + + +std::max + + + + + +Node2->Node4 + + + + + +Node5 + + +std::min + + + + + +Node2->Node5 + + + + + +Node3->Node4 + + + + + +Node3->Node5 + + + + + diff --git a/dc/dc4/_2_users_2runner_2work_2_c-_plus-_plus_2_c-_plus-_plus_2numerical_methods_2rungekutta_8cpp-example.html b/dc/dc4/_2_users_2runner_2work_2_c-_plus-_plus_2_c-_plus-_plus_2numerical_methods_2rungekutta_8cpp-example.html index b51200d10..3b323ee3c 100644 --- a/dc/dc4/_2_users_2runner_2work_2_c-_plus-_plus_2_c-_plus-_plus_2numerical_methods_2rungekutta_8cpp-example.html +++ b/dc/dc4/_2_users_2runner_2work_2_c-_plus-_plus_2_c-_plus-_plus_2numerical_methods_2rungekutta_8cpp-example.html @@ -231,7 +231,7 @@ $(document).ready(function(){initNavTree('dc/dc4/_2_users_2runner_2work_2_c-_plu
numerical_methods::simpson_method::k
double k(double x)
Another test function.
Definition: composite_simpson_rule.cpp:115
main
int main()
Main function.
Definition: graph_coloring.cpp:112
h
int h(int key)
Definition: hash_search.cpp:45
-
numerical_methods
for std::map container
+
numerical_methods
for IO operations
runge_kutta
Functions for Runge Kutta fourth order method.
test
static void test()
Self-test implementations.
Definition: rat_maze.cpp:86
change
static double change(double x, double y)
for using the vector container
Definition: rungekutta.cpp:33
diff --git a/dd/d29/false__position_8cpp.html b/dd/d29/false__position_8cpp.html index 1fdf2a900..f287b72f0 100644 --- a/dd/d29/false__position_8cpp.html +++ b/dd/d29/false__position_8cpp.html @@ -111,7 +111,7 @@ Include dependency graph for false_position.cpp:

Namespaces

namespace  numerical_methods - for std::map container
+ for IO operations
  namespace  false_position  Functions for False Position method.
diff --git a/df/d11/midpoint__integral__method_8cpp.html b/df/d11/midpoint__integral__method_8cpp.html index 59e625746..11c84dbf0 100644 --- a/df/d11/midpoint__integral__method_8cpp.html +++ b/df/d11/midpoint__integral__method_8cpp.html @@ -116,7 +116,7 @@ Include dependency graph for midpoint_integral_method.cpp:

Namespaces

namespace  numerical_methods - for std::map container
+ for IO operations
  namespace  midpoint_rule  Functions for the Midpoint Integral method implementation.
diff --git a/dir_9c6faab82c22511b50177aa2e38e2780.html b/dir_9c6faab82c22511b50177aa2e38e2780.html index 8ee696d0f..e4a8cee77 100644 --- a/dir_9c6faab82c22511b50177aa2e38e2780.html +++ b/dir_9c6faab82c22511b50177aa2e38e2780.html @@ -96,6 +96,9 @@ $(document).ready(function(){initNavTree('dir_9c6faab82c22511b50177aa2e38e2780.h + + + diff --git a/dir_9c6faab82c22511b50177aa2e38e2780.js b/dir_9c6faab82c22511b50177aa2e38e2780.js index 6e684e628..5c941be4a 100644 --- a/dir_9c6faab82c22511b50177aa2e38e2780.js +++ b/dir_9c6faab82c22511b50177aa2e38e2780.js @@ -1,5 +1,6 @@ var dir_9c6faab82c22511b50177aa2e38e2780 = [ + [ "babylonian_method.cpp", "dc/d9c/babylonian__method_8cpp.html", "dc/d9c/babylonian__method_8cpp" ], [ "bisection_method.cpp", "d7/d6a/bisection__method_8cpp.html", "d7/d6a/bisection__method_8cpp" ], [ "brent_method_extrema.cpp", "db/d01/brent__method__extrema_8cpp.html", "db/d01/brent__method__extrema_8cpp" ], [ "composite_simpson_rule.cpp", "d4/d18/composite__simpson__rule_8cpp.html", "d4/d18/composite__simpson__rule_8cpp" ], diff --git a/files.html b/files.html index 8e654dbba..b78f86a28 100644 --- a/files.html +++ b/files.html @@ -254,27 +254,28 @@ solve-a-rat-in-a-maze-c-java-pytho/" - - - - - - - - - - - - - - - - - - - - - + + + + + + + + + + + + + + + + + + + + + + diff --git a/globals_func_i.html b/globals_func_i.html index eaac1ff58..7ce39a9c8 100644 --- a/globals_func_i.html +++ b/globals_func_i.html @@ -104,8 +104,8 @@ $(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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    - m -

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    Files

    file  babylonian_method.cpp
     A babylonian method (BM) is an algorithm that computes the square root.
     
    file  bisection_method.cpp
     Solve the equation \(f(x)=0\) using bisection method
     
     ► numerical_methods
     ► operations_on_datastructures
     Nn_queens_optimizedFunctions for Eight Queens puzzle optimized
     Nncr_modulo_pFunctions for nCr modulo p implementation
     Nneural_networkNeural Network or Multilayer Perceptron
     Nnumerical_methodsFor std::map container
     Nnumerical_methodsFor IO operations
     ►Noperations_on_datastructuresFor std::vector