From 1033b1c36726c89c8b3249c690a54eceabab4368 Mon Sep 17 00:00:00 2001
From: github-actions <${GITHUB_ACTOR}@users.noreply.github.com>
Date: Thu, 29 Oct 2020 20:28:07 +0000
Subject: [PATCH] Documentation for fee3a74e35b19be0bd24b584cff7e56a790fb1cf
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204 files changed, 4475 insertions(+), 3869 deletions(-)
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diff --git a/d0/d6d/modular__exponentiation_8cpp.html b/d0/d6d/modular__exponentiation_8cpp.html
new file mode 100644
index 000000000..65f4234dc
--- /dev/null
+++ b/d0/d6d/modular__exponentiation_8cpp.html
@@ -0,0 +1,233 @@
+
+
+
+
+
+
+
+Algorithms_in_C++: math/modular_exponentiation.cpp File Reference
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ Algorithms_in_C++
+ 1.0.0
+
+ Set of algorithms implemented in C++.
+
+
+
+
+
+
+
+
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+
+
+
+
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+
C++ Program for Modular Exponentiation Iteratively.
+More...
+
#include <cassert>
+#include <iostream>
+
+
+uint64_t math::power (uint64_t a, uint64_t b, uint64_t c)
+ This function calculates a raised to exponent b under modulo c using modular exponentiation. More...
+
+static void test ()
+
+int main ()
+ Main function. More...
+
+
+
+
C++ Program for Modular Exponentiation Iteratively.
+
The task is to calculate the value of an integer a raised to an integer exponent b under modulo c.
Note The time complexity of this approach is O(log b).
+
Example: (4^3) % 5 (where ^ stands for exponentiation and % for modulo) (4*4*4) % 5 (4 % 5) * ( (4*4) % 5 ) 4 * (16 % 5) 4 * 1 4 We can also verify the result as 4^3 is 64 and 64 modulo 5 is 4
+
Author Shri2206
+
+
+
◆ main()
+
+
+
+
+
+ int main
+ (
+ void
+ )
+
+
+
+
+
+
Main function.
+
Returns 0 on exit
+
+
+
+
+
+
+
◆ test()
+
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+
+
+
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+
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+ static void test
+ (
+ )
+
+
+
+
+
+static
+
+
+
+
Function for testing power function. test cases and assert statement.
Returns void
+
+
+
62 assert(test_case_1 == 6);
+
+
+
+
66 assert(test_case_2 == 14);
+
+
+
+
70 assert(test_case_3 == 32);
+
+
+
+
74 assert(test_case_4 == 4);
+
+
+
+
78 assert(test_case_5 == 1);
+
+
+
+
+
+
+
+
+
+static void test()
Definition: modular_exponentiation.cpp:60
+
+
+uint64_t power(uint64_t a, uint64_t b, uint64_t c)
This function calculates a raised to exponent b under modulo c using modular exponentiation.
Definition: modular_exponentiation.cpp:35
+
+
+
+
diff --git a/d0/d6d/modular__exponentiation_8cpp.js b/d0/d6d/modular__exponentiation_8cpp.js
new file mode 100644
index 000000000..697a9d4e1
--- /dev/null
+++ b/d0/d6d/modular__exponentiation_8cpp.js
@@ -0,0 +1,6 @@
+var modular__exponentiation_8cpp =
+[
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\ No newline at end of file
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new file mode 100644
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new file mode 100644
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diff --git a/d1/dbe/lu__decomposition_8h_source.html b/d1/dbe/lu__decomposition_8h_source.html
index 3a23af20c..1384a59da 100644
--- a/d1/dbe/lu__decomposition_8h_source.html
+++ b/d1/dbe/lu__decomposition_8h_source.html
@@ -225,6 +225,7 @@ $(document).ready(function(){initNavTree('d1/dbe/lu__decomposition_8h_source.htm
void test2()
Definition: lu_decompose.cpp:66
+static void test()
Definition: modular_exponentiation.cpp:60
int multiply(int x, int res[], int res_size)
Definition: power_for_huge_numbers.cpp:25
static void test_2()
Definition: heavy_light_decomposition.cpp:549
ll ans(ll n)
Definition: matrix_exponentiation.cpp:91
@@ -290,6 +291,7 @@ $(document).ready(function(){initNavTree('d1/dbe/lu__decomposition_8h_source.htm
Functions associated with LU Decomposition of a square matrix.
+int main()
Main function.
Definition: modular_exponentiation.cpp:86
void test_function(const float *test_data, const int number_of_samples)
Definition: realtime_stats.cpp:118
void SieveOfEratosthenes(int N)
Definition: prime_factorization.cpp:23
@@ -309,6 +311,7 @@ $(document).ready(function(){initNavTree('d1/dbe/lu__decomposition_8h_source.htm
int main()
Definition: number_of_positive_divisors.cpp:81
int main()
Definition: miller_rabin.cpp:183
+uint64_t power(uint64_t a, uint64_t b, uint64_t c)
This function calculates a raised to exponent b under modulo c using modular exponentiation.
Definition: modular_exponentiation.cpp:35
int main()
Definition: power_for_huge_numbers.cpp:82
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 d678926f9..c9ac28991 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
@@ -264,6 +264,7 @@ Math
Least Common Multiple
Magic Number
Miller Rabin
+Modular Exponentiation
Modular Inverse Fermat Little Theorem
Number Of Positive Divisors
Power For Huge Numbers
diff --git a/d6/d42/miller__rabin_8cpp.html b/d6/d42/miller__rabin_8cpp.html
index 3a297c8da..06f2346ee 100644
--- a/d6/d42/miller__rabin_8cpp.html
+++ b/d6/d42/miller__rabin_8cpp.html
@@ -280,9 +280,9 @@ template<typename T >
81 T random = distribution(gen);
-
+
-
+
87 if (x == 1 || x == num - 1) {
@@ -474,7 +474,6 @@ Here is the call graph for this function:
std::vector< T > reverse_binary(T num)
Definition: miller_rabin.cpp:19
-void power(int x, int n)
Definition: power_for_huge_numbers.cpp:56
@@ -483,6 +482,7 @@ Here is the call graph for this function:
bool miller_test(T d, T num)
Definition: miller_rabin.cpp:73
+uint64_t power(uint64_t a, uint64_t b, uint64_t c)
This function calculates a raised to exponent b under modulo c using modular exponentiation.
Definition: modular_exponentiation.cpp:35
void tests()
Definition: miller_rabin.cpp:157
diff --git a/d6/d42/miller__rabin_8cpp_a6f9c31c1047aa3191676d64571d4c506_cgraph.map b/d6/d42/miller__rabin_8cpp_a6f9c31c1047aa3191676d64571d4c506_cgraph.map
index 4399f8fe4..49f223fdf 100644
--- a/d6/d42/miller__rabin_8cpp_a6f9c31c1047aa3191676d64571d4c506_cgraph.map
+++ b/d6/d42/miller__rabin_8cpp_a6f9c31c1047aa3191676d64571d4c506_cgraph.map
@@ -1,11 +1,11 @@
-
+
-
+
diff --git a/d6/d42/miller__rabin_8cpp_a6f9c31c1047aa3191676d64571d4c506_cgraph.md5 b/d6/d42/miller__rabin_8cpp_a6f9c31c1047aa3191676d64571d4c506_cgraph.md5
index bee4cd4d9..39885b8f0 100644
--- a/d6/d42/miller__rabin_8cpp_a6f9c31c1047aa3191676d64571d4c506_cgraph.md5
+++ b/d6/d42/miller__rabin_8cpp_a6f9c31c1047aa3191676d64571d4c506_cgraph.md5
@@ -1 +1 @@
-5e44c3a25eccbcbc07571ee825b95385
\ No newline at end of file
+9ed9375634f880334e3903435b0662d7
\ No newline at end of file
diff --git a/d6/d42/miller__rabin_8cpp_a6f9c31c1047aa3191676d64571d4c506_cgraph.svg b/d6/d42/miller__rabin_8cpp_a6f9c31c1047aa3191676d64571d4c506_cgraph.svg
index 8c200ce89..ed72b2b52 100644
--- a/d6/d42/miller__rabin_8cpp_a6f9c31c1047aa3191676d64571d4c506_cgraph.svg
+++ b/d6/d42/miller__rabin_8cpp_a6f9c31c1047aa3191676d64571d4c506_cgraph.svg
@@ -36,17 +36,17 @@
Node6
-
-
-power
+
+
+math::power
Node1->Node6
-
-
+
+
@@ -111,17 +111,17 @@
Node7
-
-
-multiply
+
+
+ans
Node6->Node7
-
-
+
+
diff --git a/d6/d42/miller__rabin_8cpp_a88ec9ad42717780d6caaff9d3d6977f9_cgraph.map b/d6/d42/miller__rabin_8cpp_a88ec9ad42717780d6caaff9d3d6977f9_cgraph.map
index c409e4798..7587ff9f4 100644
--- a/d6/d42/miller__rabin_8cpp_a88ec9ad42717780d6caaff9d3d6977f9_cgraph.map
+++ b/d6/d42/miller__rabin_8cpp_a88ec9ad42717780d6caaff9d3d6977f9_cgraph.map
@@ -4,11 +4,11 @@
-
+
-
+
diff --git a/d6/d42/miller__rabin_8cpp_a88ec9ad42717780d6caaff9d3d6977f9_cgraph.md5 b/d6/d42/miller__rabin_8cpp_a88ec9ad42717780d6caaff9d3d6977f9_cgraph.md5
index 36f795500..ac7760e81 100644
--- a/d6/d42/miller__rabin_8cpp_a88ec9ad42717780d6caaff9d3d6977f9_cgraph.md5
+++ b/d6/d42/miller__rabin_8cpp_a88ec9ad42717780d6caaff9d3d6977f9_cgraph.md5
@@ -1 +1 @@
-4b7ba908b1de0da2a2dc92abb0efcd1f
\ No newline at end of file
+4d422e58ca12055ad8a39c3c2acbcc1d
\ No newline at end of file
diff --git a/d6/d42/miller__rabin_8cpp_a88ec9ad42717780d6caaff9d3d6977f9_cgraph.svg b/d6/d42/miller__rabin_8cpp_a88ec9ad42717780d6caaff9d3d6977f9_cgraph.svg
index 6e643e698..ba58436f4 100644
--- a/d6/d42/miller__rabin_8cpp_a88ec9ad42717780d6caaff9d3d6977f9_cgraph.svg
+++ b/d6/d42/miller__rabin_8cpp_a88ec9ad42717780d6caaff9d3d6977f9_cgraph.svg
@@ -127,17 +127,17 @@ var sectionId = 'dynsection-6';
Node9
-
-
-power
+
+
+math::power
Node4->Node9
-
-
+
+
@@ -202,17 +202,17 @@ var sectionId = 'dynsection-6';
Node10
-
-
-multiply
+
+
+ans
Node9->Node10
-
-
+
+
diff --git a/d6/d42/miller__rabin_8cpp_a88ec9ad42717780d6caaff9d3d6977f9_cgraph_org.svg b/d6/d42/miller__rabin_8cpp_a88ec9ad42717780d6caaff9d3d6977f9_cgraph_org.svg
index b954a44fa..47de14d6a 100644
--- a/d6/d42/miller__rabin_8cpp_a88ec9ad42717780d6caaff9d3d6977f9_cgraph_org.svg
+++ b/d6/d42/miller__rabin_8cpp_a88ec9ad42717780d6caaff9d3d6977f9_cgraph_org.svg
@@ -81,17 +81,17 @@
Node9
-
-
-power
+
+
+math::power
Node4->Node9
-
-
+
+
@@ -156,17 +156,17 @@
Node10
-
-
-multiply
+
+
+ans
Node9->Node10
-
-
+
+
diff --git a/d6/d42/miller__rabin_8cpp_a901288288ef5ebe8e97414cc30797cce_cgraph.map b/d6/d42/miller__rabin_8cpp_a901288288ef5ebe8e97414cc30797cce_cgraph.map
index cf65fc5be..1f4c08854 100644
--- a/d6/d42/miller__rabin_8cpp_a901288288ef5ebe8e97414cc30797cce_cgraph.map
+++ b/d6/d42/miller__rabin_8cpp_a901288288ef5ebe8e97414cc30797cce_cgraph.map
@@ -2,11 +2,11 @@
-
+
-
+
diff --git a/d6/d42/miller__rabin_8cpp_a901288288ef5ebe8e97414cc30797cce_cgraph.md5 b/d6/d42/miller__rabin_8cpp_a901288288ef5ebe8e97414cc30797cce_cgraph.md5
index 2ce58e312..c1bed71a7 100644
--- a/d6/d42/miller__rabin_8cpp_a901288288ef5ebe8e97414cc30797cce_cgraph.md5
+++ b/d6/d42/miller__rabin_8cpp_a901288288ef5ebe8e97414cc30797cce_cgraph.md5
@@ -1 +1 @@
-7935e58bec1c0bf8de8038ff8ac9f185
\ No newline at end of file
+d2aa7a0e1f5f7b113356f62255fbff25
\ No newline at end of file
diff --git a/d6/d42/miller__rabin_8cpp_a901288288ef5ebe8e97414cc30797cce_cgraph.svg b/d6/d42/miller__rabin_8cpp_a901288288ef5ebe8e97414cc30797cce_cgraph.svg
index a038a82eb..b153c970b 100644
--- a/d6/d42/miller__rabin_8cpp_a901288288ef5ebe8e97414cc30797cce_cgraph.svg
+++ b/d6/d42/miller__rabin_8cpp_a901288288ef5ebe8e97414cc30797cce_cgraph.svg
@@ -97,17 +97,17 @@ var sectionId = 'dynsection-2';
Node7
-
-
-power
+
+
+math::power
Node2->Node7
-
-
+
+
@@ -172,17 +172,17 @@ var sectionId = 'dynsection-2';
Node8
-
-
-multiply
+
+
+ans
Node7->Node8
-
-
+
+
diff --git a/d6/d42/miller__rabin_8cpp_a901288288ef5ebe8e97414cc30797cce_cgraph_org.svg b/d6/d42/miller__rabin_8cpp_a901288288ef5ebe8e97414cc30797cce_cgraph_org.svg
index 8b5322a63..9dac4cba4 100644
--- a/d6/d42/miller__rabin_8cpp_a901288288ef5ebe8e97414cc30797cce_cgraph_org.svg
+++ b/d6/d42/miller__rabin_8cpp_a901288288ef5ebe8e97414cc30797cce_cgraph_org.svg
@@ -51,17 +51,17 @@
Node7
-
-
-power
+
+
+math::power
Node2->Node7
-
-
+
+
@@ -126,17 +126,17 @@
Node8
-
-
-multiply
+
+
+ans
Node7->Node8
-
-
+
+
diff --git a/d6/d42/miller__rabin_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.map b/d6/d42/miller__rabin_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.map
index 105a94381..4ba04227f 100644
--- a/d6/d42/miller__rabin_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.map
+++ b/d6/d42/miller__rabin_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.map
@@ -5,11 +5,11 @@
-
+
-
+
diff --git a/d6/d42/miller__rabin_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5 b/d6/d42/miller__rabin_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5
index 24c73e3eb..85057ed49 100644
--- a/d6/d42/miller__rabin_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5
+++ b/d6/d42/miller__rabin_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5
@@ -1 +1 @@
-dd3c9811a5c95345c0955b82598d238e
\ No newline at end of file
+3005cba12d7a65cf63b3f2b68d67b756
\ No newline at end of file
diff --git a/d6/d42/miller__rabin_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg b/d6/d42/miller__rabin_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg
index e694c3ef3..b51729aab 100644
--- a/d6/d42/miller__rabin_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg
+++ b/d6/d42/miller__rabin_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg
@@ -142,17 +142,17 @@ var sectionId = 'dynsection-1';
Node10
-
-
-power
+
+
+math::power
Node5->Node10
-
-
+
+
@@ -217,17 +217,17 @@ var sectionId = 'dynsection-1';
Node11
-
-
-multiply
+
+
+ans
Node10->Node11
-
-
+
+
diff --git a/d6/d42/miller__rabin_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph_org.svg b/d6/d42/miller__rabin_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph_org.svg
index e40575b57..9ee8b358a 100644
--- a/d6/d42/miller__rabin_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph_org.svg
+++ b/d6/d42/miller__rabin_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph_org.svg
@@ -96,17 +96,17 @@
Node10
-
-
-power
+
+
+math::power
Node5->Node10
-
-
+
+
@@ -171,17 +171,17 @@
Node11
-
-
-multiply
+
+
+ans
Node10->Node11
-
-
+
+
diff --git a/dd/d47/namespacemath.html b/dd/d47/namespacemath.html
index 9bb6f3c8f..6267fa26f 100644
--- a/dd/d47/namespacemath.html
+++ b/dd/d47/namespacemath.html
@@ -106,6 +106,9 @@ Functions
bool magic_number (const uint64_t &n)
+uint64_t power (uint64_t a, uint64_t b, uint64_t c)
+ This function calculates a raised to exponent b under modulo c using modular exponentiation. More...
+
uint64_t binomialCoeffSum (uint64_t n)
@@ -240,11 +243,86 @@ Functions
+
+
+
+◆ power()
+
+
+
+
+
+ uint64_t math::power
+ (
+ uint64_t
+ a ,
+
+
+
+
+ uint64_t
+ b ,
+
+
+
+
+ uint64_t
+ c
+
+
+
+ )
+
+
+
+
+
+
This function calculates a raised to exponent b under modulo c using modular exponentiation.
+
Parameters
+
+ a integer base
+ b unsigned integer exponent
+ c integer modulo
+
+
+
+
Returns a raised to power b modulo c
+
Initialize the answer to be returned
+
Update a if it is more than or equal to c
+
In case a is divisible by c;
+
If b is odd, multiply a with answer
+
b must be even now
+
b = b/2
+
+
+
+
+
+
+
+
+
+
44 ans = ((
ans % c) * (a % c)) % c;
+
+
+
+
48 a = ((a % c) * (a % c)) % c;
+
+
+
+
+
+
+ll ans(ll n)
Definition: matrix_exponentiation.cpp:91
diff --git a/dd/d47/namespacemath_afcd07701d73ed65cd616bcba02737f3d_cgraph.map b/dd/d47/namespacemath_afcd07701d73ed65cd616bcba02737f3d_cgraph.map
new file mode 100644
index 000000000..a89a37793
--- /dev/null
+++ b/dd/d47/namespacemath_afcd07701d73ed65cd616bcba02737f3d_cgraph.map
@@ -0,0 +1,4 @@
+
+
+
+
diff --git a/dd/d47/namespacemath_afcd07701d73ed65cd616bcba02737f3d_cgraph.md5 b/dd/d47/namespacemath_afcd07701d73ed65cd616bcba02737f3d_cgraph.md5
new file mode 100644
index 000000000..7bfa65bd9
--- /dev/null
+++ b/dd/d47/namespacemath_afcd07701d73ed65cd616bcba02737f3d_cgraph.md5
@@ -0,0 +1 @@
+11cfd874734608994480a9f540c47a44
\ No newline at end of file
diff --git a/dd/d47/namespacemath_afcd07701d73ed65cd616bcba02737f3d_cgraph.svg b/dd/d47/namespacemath_afcd07701d73ed65cd616bcba02737f3d_cgraph.svg
new file mode 100644
index 000000000..a90f3ea2d
--- /dev/null
+++ b/dd/d47/namespacemath_afcd07701d73ed65cd616bcba02737f3d_cgraph.svg
@@ -0,0 +1,37 @@
+
+
+
+
+
+
+math::power
+
+
+
+Node1
+
+
+math::power
+
+
+
+
+
+Node2
+
+
+ans
+
+
+
+
+
+Node1->Node2
+
+
+
+
+
diff --git a/dir_296d53ceaeaa7e099814a6def439fe8a.html b/dir_296d53ceaeaa7e099814a6def439fe8a.html
index e1d8baf11..b888714db 100644
--- a/dir_296d53ceaeaa7e099814a6def439fe8a.html
+++ b/dir_296d53ceaeaa7e099814a6def439fe8a.html
@@ -164,6 +164,9 @@ Files
file miller_rabin.cpp
+file modular_exponentiation.cpp
+ C++ Program for Modular Exponentiation Iteratively.
+
file modular_inverse_fermat_little_theorem.cpp
C++ Program to find the modular inverse using Fermat's Little Theorem
diff --git a/dir_296d53ceaeaa7e099814a6def439fe8a.js b/dir_296d53ceaeaa7e099814a6def439fe8a.js
index b5c6e3130..3c660474e 100644
--- a/dir_296d53ceaeaa7e099814a6def439fe8a.js
+++ b/dir_296d53ceaeaa7e099814a6def439fe8a.js
@@ -25,6 +25,7 @@ var dir_296d53ceaeaa7e099814a6def439fe8a =
[ "least_common_multiple.cpp", "d4/d21/least__common__multiple_8cpp.html", "d4/d21/least__common__multiple_8cpp" ],
[ "magic_number.cpp", "d9/d44/magic__number_8cpp.html", "d9/d44/magic__number_8cpp" ],
[ "miller_rabin.cpp", "d6/d42/miller__rabin_8cpp.html", "d6/d42/miller__rabin_8cpp" ],
+ [ "modular_exponentiation.cpp", "d0/d6d/modular__exponentiation_8cpp.html", "d0/d6d/modular__exponentiation_8cpp" ],
[ "modular_inverse_fermat_little_theorem.cpp", "d8/d53/modular__inverse__fermat__little__theorem_8cpp.html", "d8/d53/modular__inverse__fermat__little__theorem_8cpp" ],
[ "number_of_positive_divisors.cpp", "d0/da2/number__of__positive__divisors_8cpp.html", "d0/da2/number__of__positive__divisors_8cpp" ],
[ "power_for_huge_numbers.cpp", "df/def/power__for__huge__numbers_8cpp.html", "df/def/power__for__huge__numbers_8cpp" ],
diff --git a/files.html b/files.html
index c6f42a2ed..e50fd02b0 100644
--- a/files.html
+++ b/files.html
@@ -187,18 +187,19 @@ solve-a-rat-in-a-maze-c-java-pytho/">Rat in a Maze algorithm
least_common_multiple.cpp
magic_number.cpp A simple program to check if the given number is a magic number or not. A number is said to be a magic number, if the sum of its digits are calculated till a single digit recursively by adding the sum of the digits after every addition. If the single digit comes out to be 1,then the number is a magic number
miller_rabin.cpp
- modular_inverse_fermat_little_theorem.cpp C++ Program to find the modular inverse using Fermat's Little Theorem
- number_of_positive_divisors.cpp C++ Program to calculate the number of positive divisors
- power_for_huge_numbers.cpp Compute powers of large numbers
- prime_factorization.cpp Prime factorization of positive integers
- prime_numbers.cpp Get list of prime numbers
- primes_up_to_billion.cpp Compute prime numbers upto 1 billion
- realtime_stats.cpp Compute statistics for data entered in rreal-time
- sieve_of_eratosthenes.cpp Get list of prime numbers using Sieve of Eratosthenes
- sqrt_double.cpp Calculate the square root of any positive real number in \(O(\log N)\) time, with precision fixed using bisection method of root-finding
- string_fibonacci.cpp This Programme returns the Nth fibonacci as a string
- sum_of_binomial_coefficient.cpp Algorithm to find sum of binomial coefficients of a given positive integer
- sum_of_digits.cpp A C++ Program to find the Sum of Digits of input integer
+ modular_exponentiation.cpp C++ Program for Modular Exponentiation Iteratively
+ modular_inverse_fermat_little_theorem.cpp C++ Program to find the modular inverse using Fermat's Little Theorem
+ number_of_positive_divisors.cpp C++ Program to calculate the number of positive divisors
+ power_for_huge_numbers.cpp Compute powers of large numbers
+ prime_factorization.cpp Prime factorization of positive integers
+ prime_numbers.cpp Get list of prime numbers
+ primes_up_to_billion.cpp Compute prime numbers upto 1 billion
+ realtime_stats.cpp Compute statistics for data entered in rreal-time
+ sieve_of_eratosthenes.cpp Get list of prime numbers using Sieve of Eratosthenes
+ sqrt_double.cpp Calculate the square root of any positive real number in \(O(\log N)\) time, with precision fixed using bisection method of root-finding
+ string_fibonacci.cpp This Programme returns the Nth fibonacci as a string
+ sum_of_binomial_coefficient.cpp Algorithm to find sum of binomial coefficients of a given positive integer
+ sum_of_digits.cpp A C++ Program to find the Sum of Digits of input integer
► numerical_methods
bisection_method.cpp Solve the equation \(f(x)=0\) using bisection method
brent_method_extrema.cpp Find real extrema of a univariate real function in a given interval using Brent's method
diff --git a/globals_func_m.html b/globals_func_m.html
index 032e0e421..0bfe918c3 100644
--- a/globals_func_m.html
+++ b/globals_func_m.html
@@ -101,14 +101,14 @@ $(document).ready(function(){initNavTree('globals_func_m.html',''); initResizabl
, linked_list.cpp
, depth_first_search.cpp
, gcd_recursive_euclidean.cpp
+, text_search.cpp
, bogo_sort.cpp
-, comb_sort.cpp
, large_factorial.cpp
+, comb_sort.cpp
, cycle_sort.cpp
-, gnome_sort.cpp
, dijkstra.cpp
, lcm_sum.cpp
-, heap_sort.cpp
+, gnome_sort.cpp
, rabin_karp.cpp
, knuth_morris_pratt.cpp
, horspool.cpp
@@ -119,15 +119,15 @@ $(document).ready(function(){initNavTree('globals_func_m.html',''); initResizabl
, quick_sort.cpp
, pigeonhole_sort.cpp
, pancake_sort.cpp
-, insertion_sort.cpp
-, least_common_multiple.cpp
-, merge_insertion_sort.cpp
, merge_sort.cpp
+, heap_sort.cpp
+, least_common_multiple.cpp
+, insertion_sort.cpp
+, merge_insertion_sort.cpp
, linkedlist_implentation_usingarray.cpp
, hamiltons_cycle.cpp
, magic_number.cpp
, miller_rabin.cpp
-, text_search.cpp
, ternary_search.cpp
, median_search.cpp
, linear_search.cpp
@@ -183,9 +183,10 @@ $(document).ready(function(){initNavTree('globals_func_m.html',''); initResizabl
, prime_numbers.cpp
, prime_factorization.cpp
, power_for_huge_numbers.cpp
-, hopcroft_karp.cpp
-, modular_inverse_fermat_little_theorem.cpp
, number_of_positive_divisors.cpp
+, hopcroft_karp.cpp
+, modular_exponentiation.cpp
+, modular_inverse_fermat_little_theorem.cpp
, caesar_cipher.cpp
, queue_using_two_stacks.cpp
, is_graph_bipartite.cpp
diff --git a/globals_func_t.html b/globals_func_t.html
index 4e7d7fa53..681b1869b 100644
--- a/globals_func_t.html
+++ b/globals_func_t.html
@@ -101,9 +101,10 @@ $(document).ready(function(){initNavTree('globals_func_t.html',''); initResizabl
, morse_code.cpp
, 0_1_knapsack.cpp
, neural_network.cpp
+, pancake_sort.cpp
, strand_sort.cpp
-, wiggle_sort.cpp
, armstrong_number.cpp
+, wiggle_sort.cpp
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, cut_rod.cpp
, check_amicable_pair.cpp
@@ -113,23 +114,23 @@ $(document).ready(function(){initNavTree('globals_func_t.html',''); initResizabl
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, lcm_sum.cpp
, shortest_common_supersequence.cpp
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, sum_of_binomial_coefficient.cpp
-, sum_of_digits.cpp
, caesar_cipher.cpp
, xor_cipher.cpp
, word_break.cpp
+, sum_of_digits.cpp
, smallest_circle.cpp
-, median_search.cpp
, jarvis_algorithm.cpp
+, median_search.cpp
, bogo_sort.cpp
-, cycle_sort.cpp
, trie_tree.cpp
, is_graph_bipartite.cpp
+, cycle_sort.cpp
, gnome_sort.cpp
-, heap_sort.cpp
, jumpgame.cpp
+, heap_sort.cpp
, merge_insertion_sort.cpp
-, pancake_sort.cpp
test1()
: hill_cipher.cpp
@@ -146,28 +147,28 @@ $(document).ready(function(){initNavTree('globals_func_t.html',''); initResizabl
, qr_eigen_values.cpp
test2()
-: smallest_circle.cpp
+: qr_eigen_values.cpp
, hill_cipher.cpp
, hamiltons_cycle.cpp
, adaline_learning.cpp
-, durand_kerner_roots.cpp
+, brent_method_extrema.cpp
, kohonen_som_topology.cpp
, kohonen_som_trace.cpp
, large_factorial.cpp
, sum_of_digits.cpp
-, brent_method_extrema.cpp
+, durand_kerner_roots.cpp
, golden_search_extrema.cpp
, lu_decompose.cpp
-, qr_eigen_values.cpp
+, smallest_circle.cpp
test3()
-: brent_method_extrema.cpp
+: kohonen_som_trace.cpp
+, brent_method_extrema.cpp
, golden_search_extrema.cpp
, smallest_circle.cpp
-, kohonen_som_trace.cpp
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, hamiltons_cycle.cpp
, adaline_learning.cpp
-, kohonen_som_topology.cpp
test_1()
: heavy_light_decomposition.cpp
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: kohonen_som_topology.cpp
test_3()
-: heavy_light_decomposition.cpp
-, pigeonhole_sort.cpp
+: pigeonhole_sort.cpp
+, heavy_light_decomposition.cpp
test_3d_classes()
: kohonen_som_trace.cpp
@@ -212,28 +213,28 @@ $(document).ready(function(){initNavTree('globals_func_t.html',''); initResizabl
: postfix_evaluation.cpp
test_int()
-: shell_sort2.cpp
-, quick_sort_3.cpp
+: quick_sort_3.cpp
+, shell_sort2.cpp
test_lamniscate()
: kohonen_som_trace.cpp
tests()
: magic_number.cpp
-, hopcroft_karp.cpp
-, number_of_positive_divisors.cpp
-, miller_rabin.cpp
-, comb_sort.cpp
-, breadth_first_search.cpp
, double_factorial.cpp
, insertion_sort.cpp
+, sieve_of_eratosthenes.cpp
+, hopcroft_karp.cpp
+, complex_numbers.cpp
+, comb_sort.cpp
+, connected_components.cpp
+, dijkstra.cpp
, lowest_common_ancestor.cpp
, check_factorial.cpp
-, sieve_of_eratosthenes.cpp
-, complex_numbers.cpp
+, miller_rabin.cpp
+, number_of_positive_divisors.cpp
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, least_common_multiple.cpp
-, dijkstra.cpp
-, connected_components.cpp
TH()
: tower_of_hanoi.cpp
diff --git a/globals_m.html b/globals_m.html
index 74f0fc844..649917504 100644
--- a/globals_m.html
+++ b/globals_m.html
@@ -101,44 +101,44 @@ $(document).ready(function(){initNavTree('globals_m.html',''); initResizable();
, linked_list.cpp
, depth_first_search.cpp
, gcd_recursive_euclidean.cpp
+, text_search.cpp
, bogo_sort.cpp
-, comb_sort.cpp
, large_factorial.cpp
+, comb_sort.cpp
, cycle_sort.cpp
-, gnome_sort.cpp
, dijkstra.cpp
, lcm_sum.cpp
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, heap_sort.cpp
-, insertion_sort.cpp
, least_common_multiple.cpp
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, merge_insertion_sort.cpp
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, linkedlist_implentation_usingarray.cpp
, hamiltons_cycle.cpp
, magic_number.cpp
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, pancake_sort.cpp
-, pigeonhole_sort.cpp
, miller_rabin.cpp
-, quick_sort.cpp
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-, modular_inverse_fermat_little_theorem.cpp
-, shell_sort2.cpp
, strand_sort.cpp
-, number_of_positive_divisors.cpp
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+, hopcroft_karp.cpp
+, modular_exponentiation.cpp
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+, modular_inverse_fermat_little_theorem.cpp
, caesar_cipher.cpp
, queue_using_two_stacks.cpp
, is_graph_bipartite.cpp
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, power_for_huge_numbers.cpp
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, lowest_common_ancestor.cpp
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, skip_list.cpp
, spirograph.cpp
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-, sieve_of_eratosthenes.cpp
, jumpgame.cpp
, n_queens_all_solution_optimised.cpp
, hill_cipher.cpp
diff --git a/globals_t.html b/globals_t.html
index 34c7fb890..d14c9f637 100644
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, morse_code.cpp
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, is_graph_bipartite.cpp
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, jumpgame.cpp
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, merge_insertion_sort.cpp
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test1()
: hill_cipher.cpp
@@ -147,27 +148,27 @@ $(document).ready(function(){initNavTree('globals_t.html',''); initResizable();
test2()
: hill_cipher.cpp
-, smallest_circle.cpp
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, hamiltons_cycle.cpp
, adaline_learning.cpp
, kohonen_som_topology.cpp
-, durand_kerner_roots.cpp
, kohonen_som_trace.cpp
, large_factorial.cpp
, sum_of_digits.cpp
, brent_method_extrema.cpp
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, golden_search_extrema.cpp
, lu_decompose.cpp
-, qr_eigen_values.cpp
+, smallest_circle.cpp
test3()
-: brent_method_extrema.cpp
+: kohonen_som_trace.cpp
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, golden_search_extrema.cpp
, smallest_circle.cpp
-, kohonen_som_trace.cpp
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, hamiltons_cycle.cpp
, adaline_learning.cpp
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test_1()
: heavy_light_decomposition.cpp
@@ -212,8 +213,8 @@ $(document).ready(function(){initNavTree('globals_t.html',''); initResizable();
: postfix_evaluation.cpp
test_int()
-: shell_sort2.cpp
-, quick_sort_3.cpp
+: quick_sort_3.cpp
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test_lamniscate()
: kohonen_som_trace.cpp
@@ -222,21 +223,21 @@ $(document).ready(function(){initNavTree('globals_t.html',''); initResizable();
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tests()
-: double_factorial.cpp
-, breadth_first_search.cpp
-, magic_number.cpp
-, sieve_of_eratosthenes.cpp
-, lowest_common_ancestor.cpp
+: sieve_of_eratosthenes.cpp
, dijkstra.cpp
-, comb_sort.cpp
-, connected_components.cpp
, insertion_sort.cpp
-, hopcroft_karp.cpp
-, least_common_multiple.cpp
-, complex_numbers.cpp
-, check_factorial.cpp
-, miller_rabin.cpp
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, number_of_positive_divisors.cpp
+, check_factorial.cpp
+, least_common_multiple.cpp
+, connected_components.cpp
+, complex_numbers.cpp
+, miller_rabin.cpp
+, breadth_first_search.cpp
+, double_factorial.cpp
+, magic_number.cpp
+, lowest_common_ancestor.cpp
+, hopcroft_karp.cpp
TH()
: tower_of_hanoi.cpp
diff --git a/namespacemembers.html b/namespacemembers.html
index a31de99d8..acae6b1b5 100644
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@@ -314,6 +314,9 @@ $(document).ready(function(){initNavTree('namespacemembers.html',''); initResiza
pop_front()
: machine_learning
+power()
+: math
+
printMat()
: backtracking
diff --git a/namespacemembers_func.html b/namespacemembers_func.html
index cfc2ba087..ccb35f241 100644
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@@ -308,6 +308,9 @@ $(document).ready(function(){initNavTree('namespacemembers_func.html',''); initR
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: machine_learning
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printMat()
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