diff --git a/annotated.html b/annotated.html index 0de36e637..19308df6f 100644 --- a/annotated.html +++ b/annotated.html @@ -111,8 +111,7 @@ $(document).ready(function(){initNavTree('annotated.html',''); initResizable();  ►Nsparse_table  CSparse_table  ►Nstack_using_queue - CStackStack Class implementation for basic methods of Stack Data Structure.
- + CStackStack Class implementation for basic methods of Stack Data Structure  ►Ntree_234  CNode2-3-4 tree node class  CTree2342-3-4 tree class @@ -148,7 +147,7 @@ $(document).ready(function(){initNavTree('annotated.html',''); initResizable();  CDenseLayer  CNeuralNetwork  Cadaline - ▼NmathFor assert + ▼NmathFor M_PI definition and pow()  ►Nncr_modulo_p  CNCRModuloPClass which contains all methods required for calculating nCr mod p  ▼Noperations_on_datastructuresFor std::vector diff --git a/d0/d6d/modular__exponentiation_8cpp.html b/d0/d6d/modular__exponentiation_8cpp.html index 5d73066f6..172a1d2ac 100644 --- a/d0/d6d/modular__exponentiation_8cpp.html +++ b/d0/d6d/modular__exponentiation_8cpp.html @@ -111,7 +111,7 @@ Include dependency graph for modular_exponentiation.cpp:

Namespaces

namespace  math - for assert
+ for M_PI definition and pow()
  - +

diff --git a/d1/dbb/n__choose__r_8cpp.html b/d1/dbb/n__choose__r_8cpp.html index bf0a9955a..964fee7e3 100644 --- a/d1/dbb/n__choose__r_8cpp.html +++ b/d1/dbb/n__choose__r_8cpp.html @@ -111,7 +111,7 @@ Include dependency graph for n_choose_r.cpp:

Namespaces

namespace  math
 for assert
 for M_PI definition and pow()
 
- +

diff --git a/d1/de9/integral__approximation_8cpp.html b/d1/de9/integral__approximation_8cpp.html index 3e7049cf1..35f275252 100644 --- a/d1/de9/integral__approximation_8cpp.html +++ b/d1/de9/integral__approximation_8cpp.html @@ -113,7 +113,7 @@ Include dependency graph for integral_approximation.cpp:

Namespaces

namespace  math
 for assert
 for M_PI definition and pow()
 
- +

diff --git a/d2/d45/segtree_8cpp.html b/d2/d45/segtree_8cpp.html index 64577989c..6ba2d2326 100644 --- a/d2/d45/segtree_8cpp.html +++ b/d2/d45/segtree_8cpp.html @@ -247,7 +247,7 @@ Here is the call graph for this function:
172 uint64_t n = 0;
173 std::cin >> n;
174
-
175 uint64_t max = static_cast<uint64_t>(2 * pow(2, ceil(log2(n))) - 1);
+
175 auto max = static_cast<uint64_t>(2 * pow(2, ceil(log2(n))) - 1);
176 std::vector<int64_t> arr(n), lazy(max), segtree(max);
177
178 int choice = 0;
@@ -438,7 +438,7 @@ Here is the call graph for this function:

Self-test implementation.

Returns
void
146 {
-
147 int64_t max = static_cast<int64_t>(2 * pow(2, ceil(log2(7))) - 1);
+
147 auto max = static_cast<int64_t>(2 * pow(2, ceil(log2(7))) - 1);
148 assert(max == 15);
149
150 std::vector<int64_t> arr{1, 2, 3, 4, 5, 6, 7}, lazy(max), segtree(max);
diff --git a/d3/dae/dsu__path__compression_8cpp.html b/d3/dae/dsu__path__compression_8cpp.html index 031a15c60..906f7798d 100644 --- a/d3/dae/dsu__path__compression_8cpp.html +++ b/d3/dae/dsu__path__compression_8cpp.html @@ -254,7 +254,7 @@ Here is the call graph for this function:

< number of items

< object of class disjoint sets

186 {
-
187 // the minimum, maximum, and size of the set
+
187 // the minimum, maximum, and size of the set
188 uint64_t n = 10; ///< number of items
189 dsu d(n + 1); ///< object of class disjoint sets
190 // set 1
diff --git a/d4/d38/power__of__two_8cpp.html b/d4/d38/power__of__two_8cpp.html index fcfbc0374..0b00e49e9 100644 --- a/d4/d38/power__of__two_8cpp.html +++ b/d4/d38/power__of__two_8cpp.html @@ -110,7 +110,7 @@ Include dependency graph for power_of_two.cpp:

Namespaces

namespace  math
 for assert
 for M_PI definition and pow()
 
- +

diff --git a/d4/d9d/sum__of__binomial__coefficient_8cpp.html b/d4/d9d/sum__of__binomial__coefficient_8cpp.html index 84c81361d..e2803d5f2 100644 --- a/d4/d9d/sum__of__binomial__coefficient_8cpp.html +++ b/d4/d9d/sum__of__binomial__coefficient_8cpp.html @@ -111,7 +111,7 @@ Include dependency graph for sum_of_binomial_coefficient.cpp:

Namespaces

namespace  math
 for assert
 for M_PI definition and pow()
 
- +

diff --git a/d4/da0/area_8cpp__incl.map b/d4/da0/area_8cpp__incl.map index 4f0a0fc7a..c88faab66 100644 --- a/d4/da0/area_8cpp__incl.map +++ b/d4/da0/area_8cpp__incl.map @@ -1,7 +1,7 @@ - - - - - + + + + + diff --git a/d4/da0/area_8cpp__incl.md5 b/d4/da0/area_8cpp__incl.md5 index 2a5eb228f..82ccd1aad 100644 --- a/d4/da0/area_8cpp__incl.md5 +++ b/d4/da0/area_8cpp__incl.md5 @@ -1 +1 @@ -5b55c9c651a445fcbbd6a1958aced052 \ No newline at end of file +b41690a7c6fdc69f432bf7de5b212c0f \ No newline at end of file diff --git a/d4/da0/area_8cpp__incl.svg b/d4/da0/area_8cpp__incl.svg index e952ce0fd..7fa1d0bc4 100644 --- a/d4/da0/area_8cpp__incl.svg +++ b/d4/da0/area_8cpp__incl.svg @@ -5,16 +5,16 @@ --> + viewBox="0.00 0.00 256.00 84.00" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> math/area.cpp - + Node1 - -math/area.cpp + +math/area.cpp @@ -22,61 +22,61 @@ Node2 - -cmath + +cassert Node1->Node2 - - + + Node3 - -cstdint + +cmath Node1->Node3 - - + + Node4 - -iostream + +cstdint Node1->Node4 - - + + Node5 - -cassert + +iostream Node1->Node5 - - + + diff --git a/d5/d7a/largest__power_8cpp.html b/d5/d7a/largest__power_8cpp.html index 41247e37f..c4e89f587 100644 --- a/d5/d7a/largest__power_8cpp.html +++ b/d5/d7a/largest__power_8cpp.html @@ -111,7 +111,7 @@ Include dependency graph for largest_power.cpp:

Namespaces

namespace  math
 for assert
 for M_PI definition and pow()
 
- +

diff --git a/d5/d83/lcm__sum_8cpp.html b/d5/d83/lcm__sum_8cpp.html index 591be7a6a..c10455a5b 100644 --- a/d5/d83/lcm__sum_8cpp.html +++ b/d5/d83/lcm__sum_8cpp.html @@ -112,7 +112,7 @@ Include dependency graph for lcm_sum.cpp:

Namespaces

namespace  math
 for assert
 for M_PI definition and pow()
 
+ + @@ -183,6 +185,7 @@ Functions

Sorting algorithms

for assert for IO operations for std::vector for std::array

Sorting algorithms

+

for std::is_sorted for std::assert for IO operations

for std::is_sorted for assert for std::swap and io operations

Sorting algorithms

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

@@ -1079,6 +1082,57 @@ Here is the call graph for this function: + + + +

◆ selectionSort()

+ +
+
+

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 593f26f45..318f2930f 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 @@ -476,7 +476,7 @@ Sorting

  • Radix Sort2
  • Random Pivot Quick Sort
  • Recursive Bubble Sort
    • -
  • Selection Sort
    • +
  • Selection Sort Iterative
  • Selection Sort Recursive
  • Shell Sort
  • Shell Sort2
    • diff --git a/d5/d91/namespacesorting.html b/d5/d91/namespacesorting.html index 35838987d..72ed7c630 100644 --- a/d5/d91/namespacesorting.html +++ b/d5/d91/namespacesorting.html @@ -153,6 +153,8 @@ Functions
    void recursive_bubble_sort (std::vector< T > *nums, uint64_t n)
     This is an implementation of the recursive_bubble_sort. A vector is passed to the function which is then dereferenced, so that the changes are reflected in the original vector. It also accepts a second parameter of type int and name n, which is the size of the array. More...
     
    std::vector< uint64_t > selectionSort (const std::vector< uint64_t > &arr, uint64_t len)
     
    template<typename T >
    void shell_sort (T *arr, size_t LEN)
     
    + + + + + + + + + + + + + + + + + +
    std::vector< uint64_t > sorting::selectionSort (const std::vector< uint64_t > & arr,
    uint64_t len 
    )
    +
    +
    48 {
    +
    49 std::vector<uint64_t> array(
    +
    50 arr.begin(),
    +
    51 arr.end()); // declare a vector in which result will be stored
    +
    52 for (uint64_t it = 0; it < len; ++it) {
    +
    53 uint64_t min = it; // set min value
    +
    54 for (uint64_t it2 = it + 1; it2 < len; ++it2) {
    +
    55 if (array[it2] < array[min]) { // check which element is smaller
    +
    56 min = it2; // store index of smallest element to min
    +
    57 }
    +
    58 }
    +
    59
    +
    60 if (min != it) { // swap if min does not match to i
    +
    61 uint64_t tmp = array[min];
    +
    62 array[min] = array[it];
    +
    63 array[it] = tmp;
    +
    64 }
    +
    65 }
    +
    66
    +
    67 return array; // return sorted vector
    +
    68}
    +
    std::min
    T min(T... args)
    + +
    diff --git a/d6/d4e/namespaceciphers.js b/d6/d4e/namespaceciphers.js index 0794fa7f0..1f9e56050 100644 --- a/d6/d4e/namespaceciphers.js +++ b/d6/d4e/namespaceciphers.js @@ -5,7 +5,7 @@ var namespaceciphers = [ "encrypt", "de/db6/a1z26__cipher_8cpp.html#a77a6b827a0b9c7aca2d705811459d744", null ] ] ], [ "atbash", null, [ - [ "atbash_cipher", "dc/dfb/atbash__cipher_8cpp.html#ae633d82f248dffe0d2f6bdf82e56b7b5", null ] + [ "atbash_cipher", "dc/dfb/atbash__cipher_8cpp.html#a8f7dd4dcd3df7c512c20482afc2dbb9d", null ] ] ], [ "caesar", null, [ [ "decrypt", "d6/d2c/caesar__cipher_8cpp.html#a355e69511cd2006b5c4c80ae95b71056", null ], diff --git a/d8/db1/binomial__calculate_8cpp.html b/d8/db1/binomial__calculate_8cpp.html index 1277e7013..7e73f91a2 100644 --- a/d8/db1/binomial__calculate_8cpp.html +++ b/d8/db1/binomial__calculate_8cpp.html @@ -113,7 +113,7 @@ Include dependency graph for binomial_calculate.cpp:

    Namespaces

    namespace  math - for assert
    + for M_PI definition and pow()
      namespace  binomial  Functions for Binomial coefficients implementation.
    diff --git a/d9/d44/magic__number_8cpp.html b/d9/d44/magic__number_8cpp.html index 893377356..b1684f617 100644 --- a/d9/d44/magic__number_8cpp.html +++ b/d9/d44/magic__number_8cpp.html @@ -111,7 +111,7 @@ Include dependency graph for magic_number.cpp:

    Namespaces

    namespace  math - for assert
    + for M_PI definition and pow()
     
    Returns
    total number of set-bits in the binary representation of number n
    -
    36 { // int64_t is preferred over int so that
    -
    37 // no Overflow can be there.
    -
    38
    -
    39 int count = 0; // "count" variable is used to count number of set-bits('1') in
    -
    40 // binary representation of number 'n'
    -
    41 while (n != 0)
    -
    42 {
    -
    43 ++count;
    -
    44 n = (n & (n - 1));
    -
    45 }
    -
    46 return count;
    -
    47 // Why this algorithm is better than the standard one?
    -
    48 // Because this algorithm runs the same number of times as the number of
    -
    49 // set-bits in it. Means if my number is having "3" set bits, then this while loop
    -
    50 // will run only "3" times!!
    -
    51}
    +
    38 { // int64_t is preferred over int so that
    +
    39 // no Overflow can be there.
    +
    40
    +
    41 int count = 0; // "count" variable is used to count number of set-bits('1')
    +
    42 // in binary representation of number 'n'
    +
    43 while (n != 0) {
    +
    44 ++count;
    +
    45 n = (n & (n - 1));
    +
    46 }
    +
    47 return count;
    +
    48 // Why this algorithm is better than the standard one?
    +
    49 // Because this algorithm runs the same number of times as the number of
    +
    50 // set-bits in it. Means if my number is having "3" set bits, then this
    +
    51 // while loop will run only "3" times!!
    +
    52}
    Here is the call graph for this function:
    @@ -202,10 +201,10 @@ Here is the call graph for this function:

    Main function.

    Returns
    0 on exit
    -
    78 {
    -
    79 test(); // run self-test implementations
    -
    80 return 0;
    -
    81}
    +
    79 {
    +
    80 test(); // run self-test implementations
    +
    81 return 0;
    +
    82}
    @@ -231,25 +230,25 @@ Here is the call graph for this function:

    diff --git a/da/db8/count__of__set__bits_8cpp.html b/da/db8/count__of__set__bits_8cpp.html index cff479245..5c5b30e84 100644 --- a/da/db8/count__of__set__bits_8cpp.html +++ b/da/db8/count__of__set__bits_8cpp.html @@ -159,22 +159,21 @@ Functions

    -
    55 {
    -
    56 // n = 4 return 1
    -
    57 assert(bit_manipulation::count_of_set_bits::countSetBits(4) == 1);
    -
    58 // n = 6 return 2
    -
    59 assert(bit_manipulation::count_of_set_bits::countSetBits(6) == 2);
    -
    60 // n = 13 return 3
    -
    61 assert(bit_manipulation::count_of_set_bits::countSetBits(13) == 3);
    -
    62 // n = 9 return 2
    -
    63 assert(bit_manipulation::count_of_set_bits::countSetBits(9) == 2);
    -
    64 // n = 15 return 4
    -
    65 assert(bit_manipulation::count_of_set_bits::countSetBits(15) == 4);
    -
    66 // n = 25 return 3
    -
    67 assert(bit_manipulation::count_of_set_bits::countSetBits(25) == 3);
    -
    68 // n = 97 return 3
    -
    69 assert(bit_manipulation::count_of_set_bits::countSetBits(97) == 3);
    -
    70 // n = 31 return 5
    -
    71 assert(bit_manipulation::count_of_set_bits::countSetBits(31) == 5);
    -
    72 std::cout << "All test cases successfully passed!" << std::endl;
    -
    73}
    +
    56 {
    +
    57 // n = 4 return 1
    +
    58 assert(bit_manipulation::count_of_set_bits::countSetBits(4) == 1);
    +
    59 // n = 6 return 2
    +
    60 assert(bit_manipulation::count_of_set_bits::countSetBits(6) == 2);
    +
    61 // n = 13 return 3
    +
    62 assert(bit_manipulation::count_of_set_bits::countSetBits(13) == 3);
    +
    63 // n = 9 return 2
    +
    64 assert(bit_manipulation::count_of_set_bits::countSetBits(9) == 2);
    +
    65 // n = 15 return 4
    +
    66 assert(bit_manipulation::count_of_set_bits::countSetBits(15) == 4);
    +
    67 // n = 25 return 3
    +
    68 assert(bit_manipulation::count_of_set_bits::countSetBits(25) == 3);
    +
    69 // n = 97 return 3
    +
    70 assert(bit_manipulation::count_of_set_bits::countSetBits(97) == 3);
    +
    71 // n = 31 return 5
    +
    72 assert(bit_manipulation::count_of_set_bits::countSetBits(31) == 5);
    +
    73 std::cout << "All test cases successfully passed!" << std::endl;
    +
    74}
    std::endl
    T endl(T... args)
    diff --git a/db/d27/n__bonacci_8cpp.html b/db/d27/n__bonacci_8cpp.html index 33fe4303d..8fc9183c8 100644 --- a/db/d27/n__bonacci_8cpp.html +++ b/db/d27/n__bonacci_8cpp.html @@ -113,7 +113,7 @@ Include dependency graph for n_bonacci.cpp:

    Namespaces

    namespace  math - for assert
    + for M_PI definition and pow()
      namespace  n_bonacci  Functions for the N-bonacci implementation.
    diff --git a/db/d40/integral__approximation2_8cpp.html b/db/d40/integral__approximation2_8cpp.html index 9a7ced173..ae9809254 100644 --- a/db/d40/integral__approximation2_8cpp.html +++ b/db/d40/integral__approximation2_8cpp.html @@ -118,7 +118,7 @@ Include dependency graph for integral_approximation2.cpp:

    Namespaces

    namespace  math - for assert
    + for M_PI definition and pow()
      namespace  monte_carlo  Functions for the Monte Carlo Integration implementation.
    @@ -126,9 +126,9 @@ Namespaces - - +

    Typedefs

    +
    using math::monte_carlo::Function = std::function< double(double &)>
     
     
    @@ -201,36 +201,36 @@ Functions
    Returns
    A vector of size num_samples with samples distributed according to the pdf
    -
    53 {
    -
    54 std::vector<double> samples;
    -
    55 samples.reserve(num_samples);
    -
    56
    -
    57 double x_t = start_point;
    -
    58
    -
    59 std::default_random_engine generator;
    -
    60 std::uniform_real_distribution<double> uniform(0.0, 1.0);
    -
    61 std::normal_distribution<double> normal(0.0, 1.0);
    -
    62 generator.seed(time(nullptr));
    -
    63
    -
    64 for(uint32_t t = 0; t < num_samples + discard; ++t) {
    -
    65 // Generate a new proposal according to some mutation strategy.
    -
    66 // This is arbitrary and can be swapped.
    -
    67 double x_dash = normal(generator) + x_t;
    -
    68 double acceptance_probability = std::min(pdf(x_dash)/pdf(x_t), 1.0);
    -
    69 double u = uniform(generator);
    +
    67 {
    +
    68 std::vector<double> samples;
    +
    69 samples.reserve(num_samples);
    70
    -
    71 // Accept "new state" according to the acceptance_probability
    -
    72 if(u <= acceptance_probability) {
    -
    73 x_t = x_dash;
    -
    74 }
    -
    75
    -
    76 if(t >= discard) {
    -
    77 samples.push_back(x_t);
    -
    78 }
    -
    79 }
    -
    80
    -
    81 return samples;
    -
    82}
    +
    71 double x_t = start_point;
    +
    72
    +
    73 std::default_random_engine generator;
    +
    74 std::uniform_real_distribution<double> uniform(0.0, 1.0);
    +
    75 std::normal_distribution<double> normal(0.0, 1.0);
    +
    76 generator.seed(time(nullptr));
    +
    77
    +
    78 for (uint32_t t = 0; t < num_samples + discard; ++t) {
    +
    79 // Generate a new proposal according to some mutation strategy.
    +
    80 // This is arbitrary and can be swapped.
    +
    81 double x_dash = normal(generator) + x_t;
    +
    82 double acceptance_probability = std::min(pdf(x_dash) / pdf(x_t), 1.0);
    +
    83 double u = uniform(generator);
    +
    84
    +
    85 // Accept "new state" according to the acceptance_probability
    +
    86 if (u <= acceptance_probability) {
    +
    87 x_t = x_dash;
    +
    88 }
    +
    89
    +
    90 if (t >= discard) {
    +
    91 samples.push_back(x_t);
    +
    92 }
    +
    93 }
    +
    94
    +
    95 return samples;
    +
    96}
    std::min
    T min(T... args)
    std::vector::push_back
    T push_back(T... args)
    @@ -297,17 +297,18 @@ Here is the call graph for this function:
    Returns
    The approximation of the integral according to 1/N \sum_{i}^N f(x_i) / p(x_i)
    -
    97 {
    -
    98 double integral = 0.0;
    -
    99 std::vector<double> samples = generate_samples(start_point, pdf, num_samples);
    -
    100
    -
    101 for(double sample : samples) {
    -
    102 integral += function(sample) / pdf(sample);
    -
    103 }
    -
    104
    -
    105 return integral / static_cast<double>(samples.size());
    -
    106}
    -
    math::monte_carlo::generate_samples
    std::vector< double > generate_samples(const double &start_point, const Function &pdf, const uint32_t &num_samples, const uint32_t &discard=100000)
    short-hand for std::functions used in this implementation
    Definition: integral_approximation2.cpp:53
    +
    114 {
    +
    115 double integral = 0.0;
    +
    116 std::vector<double> samples =
    +
    117 generate_samples(start_point, pdf, num_samples);
    +
    118
    +
    119 for (double sample : samples) {
    +
    120 integral += function(sample) / pdf(sample);
    +
    121 }
    +
    122
    +
    123 return integral / static_cast<double>(samples.size());
    +
    124}
    +
    math::monte_carlo::generate_samples
    std::vector< double > generate_samples(const double &start_point, const Function &pdf, const uint32_t &num_samples, const uint32_t &discard=100000)
    short-hand for std::functions used in this implementation
    Definition: integral_approximation2.cpp:64
    Here is the call graph for this function:
    @@ -335,11 +336,11 @@ Here is the call graph for this function:

    Main function.

    Returns
    0 on exit
    -
    193 {
    -
    194 test(); // run self-test implementations
    -
    195 return 0;
    -
    196}
    -
    test
    static void test()
    Self-test implementations.
    Definition: integral_approximation2.cpp:115
    +
    215 {
    +
    216 test(); // run self-test implementations
    +
    217 return 0;
    +
    218}
    +
    test
    static void test()
    Self-test implementations.
    Definition: integral_approximation2.cpp:133
    Here is the call graph for this function:
    @@ -374,84 +375,88 @@ Here is the call graph for this function:

    Self-test implementations.

    Returns
    void
    -
    115 {
    -
    116 std::cout << "Disclaimer: Because this is a randomized algorithm," << std::endl;
    -
    117 std::cout << "it may happen that singular samples deviate from the true result." << std::endl << std::endl;;
    -
    118
    -
    119 math::monte_carlo::Function f;
    -
    120 math::monte_carlo::Function pdf;
    -
    121 double integral = 0;
    -
    122 double lower_bound = 0, upper_bound = 0;
    -
    123
    -
    124 /* \int_{-2}^{2} -x^2 + 4 dx */
    -
    125 f = [&](double& x) {
    -
    126 return -x*x + 4.0;
    -
    127 };
    -
    128
    -
    129 lower_bound = -2.0;
    -
    130 upper_bound = 2.0;
    -
    131 pdf = [&](double& x) {
    -
    132 if(x >= lower_bound && x <= -1.0) {
    -
    133 return 0.1;
    -
    134 }
    -
    135 if(x <= upper_bound && x >= 1.0) {
    -
    136 return 0.1;
    -
    137 }
    -
    138 if(x > -1.0 && x < 1.0) {
    -
    139 return 0.4;
    -
    140 }
    -
    141 return 0.0;
    -
    142 };
    -
    143
    -
    144 integral = math::monte_carlo::integral_monte_carlo((upper_bound - lower_bound) / 2.0, f, pdf);
    -
    145
    -
    146 std::cout << "This number should be close to 10.666666: " << integral << std::endl;
    -
    147
    -
    148 /* \int_{0}^{1} e^x dx */
    -
    149 f = [&](double& x) {
    -
    150 return std::exp(x);
    -
    151 };
    -
    152
    -
    153 lower_bound = 0.0;
    -
    154 upper_bound = 1.0;
    -
    155 pdf = [&](double& x) {
    -
    156 if(x >= lower_bound && x <= 0.2) {
    +
    133 {
    +
    134 std::cout << "Disclaimer: Because this is a randomized algorithm,"
    +
    135 << std::endl;
    +
    136 std::cout
    +
    137 << "it may happen that singular samples deviate from the true result."
    +
    138 << std::endl
    +
    139 << std::endl;
    +
    140 ;
    +
    141
    +
    142 math::monte_carlo::Function f;
    +
    143 math::monte_carlo::Function pdf;
    +
    144 double integral = 0;
    +
    145 double lower_bound = 0, upper_bound = 0;
    +
    146
    +
    147 /* \int_{-2}^{2} -x^2 + 4 dx */
    +
    148 f = [&](double& x) { return -x * x + 4.0; };
    +
    149
    +
    150 lower_bound = -2.0;
    +
    151 upper_bound = 2.0;
    +
    152 pdf = [&](double& x) {
    +
    153 if (x >= lower_bound && x <= -1.0) {
    +
    154 return 0.1;
    +
    155 }
    +
    156 if (x <= upper_bound && x >= 1.0) {
    157 return 0.1;
    158 }
    -
    159 if(x > 0.2 && x <= 0.4) {
    +
    159 if (x > -1.0 && x < 1.0) {
    160 return 0.4;
    161 }
    -
    162 if(x > 0.4 && x < upper_bound) {
    -
    163 return 1.5;
    -
    164 }
    -
    165 return 0.0;
    -
    166 };
    +
    162 return 0.0;
    +
    163 };
    +
    164
    +
    165 integral = math::monte_carlo::integral_monte_carlo(
    +
    166 (upper_bound - lower_bound) / 2.0, f, pdf);
    167
    -
    168 integral = math::monte_carlo::integral_monte_carlo((upper_bound - lower_bound) / 2.0, f, pdf);
    -
    169
    -
    170 std::cout << "This number should be close to 1.7182818: " << integral << std::endl;
    -
    171
    -
    172 /* \int_{-\infty}^{\infty} sinc(x) dx, sinc(x) = sin(pi * x) / (pi * x)
    -
    173 This is a difficult integral because of its infinite domain.
    -
    174 Therefore, it may deviate largely from the expected result.
    -
    175 */
    -
    176 f = [&](double& x) {
    -
    177 return std::sin(M_PI * x) / (M_PI * x);
    -
    178 };
    -
    179
    -
    180 pdf = [&](double& x) {
    -
    181 return 1.0 / std::sqrt(2.0 * M_PI) * std::exp(-x * x / 2.0);
    -
    182 };
    -
    183
    -
    184 integral = math::monte_carlo::integral_monte_carlo(0.0, f, pdf, 10000000);
    -
    185
    -
    186 std::cout << "This number should be close to 1.0: " << integral << std::endl;
    -
    187}
    +
    168 std::cout << "This number should be close to 10.666666: " << integral
    +
    169 << std::endl;
    +
    170
    +
    171 /* \int_{0}^{1} e^x dx */
    +
    172 f = [&](double& x) { return std::exp(x); };
    +
    173
    +
    174 lower_bound = 0.0;
    +
    175 upper_bound = 1.0;
    +
    176 pdf = [&](double& x) {
    +
    177 if (x >= lower_bound && x <= 0.2) {
    +
    178 return 0.1;
    +
    179 }
    +
    180 if (x > 0.2 && x <= 0.4) {
    +
    181 return 0.4;
    +
    182 }
    +
    183 if (x > 0.4 && x < upper_bound) {
    +
    184 return 1.5;
    +
    185 }
    +
    186 return 0.0;
    +
    187 };
    +
    188
    +
    189 integral = math::monte_carlo::integral_monte_carlo(
    +
    190 (upper_bound - lower_bound) / 2.0, f, pdf);
    +
    191
    +
    192 std::cout << "This number should be close to 1.7182818: " << integral
    +
    193 << std::endl;
    +
    194
    +
    195 /* \int_{-\infty}^{\infty} sinc(x) dx, sinc(x) = sin(pi * x) / (pi * x)
    +
    196 This is a difficult integral because of its infinite domain.
    +
    197 Therefore, it may deviate largely from the expected result.
    +
    198 */
    +
    199 f = [&](double& x) { return std::sin(M_PI * x) / (M_PI * x); };
    +
    200
    +
    201 pdf = [&](double& x) {
    +
    202 return 1.0 / std::sqrt(2.0 * M_PI) * std::exp(-x * x / 2.0);
    +
    203 };
    +
    204
    +
    205 integral = math::monte_carlo::integral_monte_carlo(0.0, f, pdf, 10000000);
    +
    206
    +
    207 std::cout << "This number should be close to 1.0: " << integral
    +
    208 << std::endl;
    +
    209}
    std::endl
    T endl(T... args)
    std::exp
    T exp(T... args)
    -
    math::monte_carlo::integral_monte_carlo
    double integral_monte_carlo(const double &start_point, const Function &function, const Function &pdf, const uint32_t &num_samples=1000000)
    Compute an approximation of an integral using Monte Carlo integration.
    Definition: integral_approximation2.cpp:97
    +
    math::monte_carlo::integral_monte_carlo
    double integral_monte_carlo(const double &start_point, const Function &function, const Function &pdf, const uint32_t &num_samples=1000000)
    Compute an approximation of an integral using Monte Carlo integration.
    Definition: integral_approximation2.cpp:112
    std::lower_bound
    T lower_bound(T... args)
    std::sin
    T sin(T... args)
    std::sqrt
    T sqrt(T... args)
    diff --git a/db/d5b/structdata__structures_1_1stack__using__queue_1_1_stack.html b/db/d5b/structdata__structures_1_1stack__using__queue_1_1_stack.html index 8efd047db..077eae3d1 100644 --- a/db/d5b/structdata__structures_1_1stack__using__queue_1_1_stack.html +++ b/db/d5b/structdata__structures_1_1stack__using__queue_1_1_stack.html @@ -98,8 +98,7 @@ $(document).ready(function(){initNavTree('db/d5b/structdata__structures_1_1stack
    -

    Stack Class implementation for basic methods of Stack Data Structure.
    - +

    Stack Class implementation for basic methods of Stack Data Structure. More...

    Functions

    std::queue< int64_t >  - - + @@ -132,8 +129,7 @@ uint32_t 

    @@ -122,9 +121,7 @@ Public Attributes

    main_q
     stores the current state of the stack
     
    -std::queue< int64_t > auxiliary_q
     used to carry out intermediate operations to implement stack
    std::queue< int64_t > auxiliary_q
     
    uint32_t current_size = 0
    current_size
     

    Detailed Description

    -

    Stack Class implementation for basic methods of Stack Data Structure.
    -

    +

    Stack Class implementation for basic methods of Stack Data Structure.

    Member Function Documentation

    ◆ pop()

    @@ -160,15 +156,15 @@ uint32_t current_size

    Removes the topmost element from the stack.

    Returns
    void
    -
    64 {
    -
    65 if(main_q.empty()) {
    -
    66 return;
    -
    67 }
    -
    68 main_q.pop();
    -
    69 current_size--;
    -
    70 }
    -
    data_structures::stack_using_queue::Stack::main_q
    std::queue< int64_t > main_q
    stores the current state of the stack
    Definition: stack_using_queue.cpp:29
    -
    data_structures::stack_using_queue::Stack::current_size
    uint32_t current_size
    stores the current size of the stack
    Definition: stack_using_queue.cpp:31
    +
    61 {
    +
    62 if (main_q.empty()) {
    +
    63 return;
    +
    64 }
    +
    65 main_q.pop();
    +
    66 current_size--;
    +
    67 }
    +
    data_structures::stack_using_queue::Stack::main_q
    std::queue< int64_t > main_q
    stores the current state of the stack
    Definition: stack_using_queue.cpp:31
    +
    data_structures::stack_using_queue::Stack::current_size
    uint32_t current_size
    stores the current size of the stack
    Definition: stack_using_queue.cpp:34
    @@ -204,17 +200,16 @@ uint32_t current_size
    Returns
    void
    -
    48 {
    -
    49 auxiliary_q.push(val);
    -
    50 while(!main_q.empty())
    -
    51 {
    -
    52 auxiliary_q.push(main_q.front());
    -
    53 main_q.pop();
    -
    54 }
    -
    55 swap(main_q, auxiliary_q);
    -
    56 current_size++;
    -
    57 }
    -
    data_structures::stack_using_queue::Stack::auxiliary_q
    std::queue< int64_t > auxiliary_q
    used to carry out intermediate operations to implement stack
    Definition: stack_using_queue.cpp:30
    +
    47 {
    +
    48 auxiliary_q.push(val);
    +
    49 while (!main_q.empty()) {
    +
    50 auxiliary_q.push(main_q.front());
    +
    51 main_q.pop();
    +
    52 }
    +
    53 swap(main_q, auxiliary_q);
    +
    54 current_size++;
    +
    55 }
    +
    data_structures::stack_using_queue::Stack::auxiliary_q
    std::queue< int64_t > auxiliary_q
    Definition: stack_using_queue.cpp:32
    std::swap
    T swap(T... args)
    @@ -244,9 +239,7 @@ uint32_t current_size

    Utility function to return the current size of the stack.

    Returns
    current size of stack
    -
    77 {
    -
    78 return current_size;
    -
    79 }
    +
    73{ return current_size; }
    @@ -273,10 +266,24 @@ uint32_t current_size

    Returns the top most element of the stack

    Returns
    top element of the queue
    -
    38 {
    -
    39 return main_q.front();
    -
    40 }
    +
    40{ return main_q.front(); }
    +
    +
    +

    Member Data Documentation

    + +

    ◆ auxiliary_q

    + +
    +
    + + + + +
    std::queue<int64_t> data_structures::stack_using_queue::Stack::auxiliary_q
    +
    +

    used to carry out intermediate operations to implement stack

    +
    The documentation for this struct was generated from the following file: -
    61 {
    -
    62 return M_PI * pow(radius, 2);
    -
    63}
    +
    63 {
    +
    64 return M_PI * pow(radius, 2);
    +
    65}
    @@ -286,9 +287,9 @@ template<typename T >
    Returns
    surface area of the cube
    -
    84 {
    -
    85 return 6 * length * length;
    -
    86}
    +
    86 {
    +
    87 return 6 * length * length;
    +
    88}
    @@ -329,9 +330,9 @@ template<typename T >
    Returns
    surface area of the cylinder
    -
    107 {
    -
    108 return 2 * M_PI * radius * height + 2 * M_PI * pow(radius, 2);
    -
    109}
    +
    109 {
    +
    110 return 2 * M_PI * radius * height + 2 * M_PI * pow(radius, 2);
    +
    111}
    height
    int height(node *root)
    Definition: avltree.cpp:31
    Here is the call graph for this function:
    @@ -648,9 +649,9 @@ template<typename T >
    Returns
    area of the parallelogram
    -
    73 {
    -
    74 return base * height;
    -
    75}
    +
    75 {
    +
    76 return base * height;
    +
    77}
    Here is the call graph for this function:
    @@ -822,9 +823,9 @@ template<typename T >
    Returns
    area of the rectangle
    -
    38 {
    -
    39 return length * width;
    -
    40}
    +
    40 {
    +
    41 return length * width;
    +
    42}
    @@ -854,9 +855,9 @@ template<typename T >
    Returns
    surface area of the sphere
    -
    95 {
    -
    96 return 4 * M_PI * pow(radius, 2);
    -
    97}
    +
    97 {
    +
    98 return 4 * M_PI * pow(radius, 2);
    +
    99}
    @@ -886,9 +887,9 @@ template<typename T >
    Returns
    area of square
    -
    27 {
    -
    28 return length * length;
    -
    29}
    +
    29 {
    +
    30 return length * length;
    +
    31}
    @@ -977,9 +978,9 @@ template<typename T >
    Returns
    area of the triangle
    -
    50 {
    -
    51 return base * height / 2;
    -
    52}
    +
    52 {
    +
    53 return base * height / 2;
    +
    54}
    Here is the call graph for this function:
    diff --git a/dd/db1/namespacedata__strcutres.html b/dd/db1/namespacedata__strcutres.html index b0ce72b24..e63a7314e 100644 --- a/dd/db1/namespacedata__strcutres.html +++ b/dd/db1/namespacedata__strcutres.html @@ -99,7 +99,7 @@ $(document).ready(function(){initNavTree('dd/db1/namespacedata__strcutres.html',

    Detailed Description

    Stack Data Structure Using the Queue Data Structure.

    Using 2 Queues inside the Stack class, we can easily implement Stack data structure with heavy computation in push function.

    -

    References used: StudyTonight

    Author
    tushar2407 for IO operations for queue data structure for assert
    +

    References used: StudyTonight

    Author
    tushar2407 for assert for IO operations for queue data structure

    Data structures algorithms

    diff --git a/de/dab/ncr__modulo__p_8cpp.html b/de/dab/ncr__modulo__p_8cpp.html index 8c49da3e6..b49c9823f 100644 --- a/de/dab/ncr__modulo__p_8cpp.html +++ b/de/dab/ncr__modulo__p_8cpp.html @@ -119,7 +119,7 @@ Classes

    Namespaces

    namespace  math - for assert
    + for M_PI definition and pow()
      namespace  ncr_modulo_p  Functions for nCr modulo p implementation.
    diff --git a/de/dc3/fibonacci__sum_8cpp.html b/de/dc3/fibonacci__sum_8cpp.html index dea89536a..d5b507d29 100644 --- a/de/dc3/fibonacci__sum_8cpp.html +++ b/de/dc3/fibonacci__sum_8cpp.html @@ -113,7 +113,7 @@ Include dependency graph for fibonacci_sum.cpp:

    Namespaces

    namespace  math - for assert
    + for M_PI definition and pow()
      namespace  fibonacci_sum  Functions for the sum of the Fibonacci Sequence: \(\mathrm{F}(n) + \mathrm{F}(n+1) + .. + \mathrm{F}(m)\).
    diff --git a/df/d66/vector__cross__product_8cpp.html b/df/d66/vector__cross__product_8cpp.html index b11e5f292..75155b9a9 100644 --- a/df/d66/vector__cross__product_8cpp.html +++ b/df/d66/vector__cross__product_8cpp.html @@ -113,7 +113,7 @@ Include dependency graph for vector_cross_product.cpp:

    Namespaces

    namespace  math - for assert
    + for M_PI definition and pow()
      namespace  vector_cross  Functions for Vector Cross Product algorithms.
    diff --git a/df/d72/modular__division_8cpp.html b/df/d72/modular__division_8cpp.html index 71f8d09a8..e8bbe9686 100644 --- a/df/d72/modular__division_8cpp.html +++ b/df/d72/modular__division_8cpp.html @@ -111,7 +111,7 @@ Include dependency graph for modular_division.cpp:

    Namespaces

    namespace  math - for assert
    + for M_PI definition and pow()
      namespace  modular_division  Functions for Modular Division implementation.
    diff --git a/globals_p.html b/globals_p.html index 73d842724..0e47ba48a 100644 --- a/globals_p.html +++ b/globals_p.html @@ -105,8 +105,8 @@ $(document).ready(function(){initNavTree('globals_p.html',''); initResizable();
  • pop() : paranthesis_matching.cpp
  • power() : power_for_huge_numbers.cpp, matrix_exponentiation.cpp
  • predict_OLS_regressor() : ordinary_least_squares_regressor.cpp
    • -
  • PRIME : rabin_karp.cpp
  • prime : primes_up_to_billion.cpp
    • +
  • PRIME : rabin_karp.cpp
  • prime_factorization() : prime_factorization.cpp
  • prime_numbers : prime_factorization.cpp
  • primes() : prime_numbers.cpp
    • diff --git a/hierarchy.html b/hierarchy.html index 5bc6ed0aa..7bafc6652 100644 --- a/hierarchy.html +++ b/hierarchy.html @@ -171,8 +171,7 @@ This inheritance list is sorted roughly, but not completely, alphabetically: Cdata_structures::SkipList  CSolution  Cdata_structures::sparse_table::Sparse_table - Cdata_structures::stack_using_queue::StackStack Class implementation for basic methods of Stack Data Structure.
    - + Cdata_structures::stack_using_queue::StackStack Class implementation for basic methods of Stack Data Structure  Cothers::postfix_expression::StackCreates an array to be used as stack for storing values  Cstack< Type >  Cstack_linkedList diff --git a/namespacemembers.html b/namespacemembers.html index cce271579..e764d9902 100644 --- a/namespacemembers.html +++ b/namespacemembers.html @@ -160,8 +160,8 @@ $(document).ready(function(){initNavTree('namespacemembers.html',''); initResiza
  • insertionSort() : sorting
  • integral_approx() : math
  • isPossible() : backtracking
    • -
  • issafe() : backtracking
  • isSafe() : backtracking
    • +
  • issafe() : backtracking
    • diff --git a/namespacemembers_func.html b/namespacemembers_func.html index 16bd926a2..fee8453ac 100644 --- a/namespacemembers_func.html +++ b/namespacemembers_func.html @@ -160,8 +160,8 @@ $(document).ready(function(){initNavTree('namespacemembers_func.html',''); initR
  • insertionSort() : sorting
  • integral_approx() : math
  • isPossible() : backtracking
    • -
  • issafe() : backtracking
  • isSafe() : backtracking
    • +
  • issafe() : backtracking
    • diff --git a/namespaces.html b/namespaces.html index b8c64dcc0..d96a6227d 100644 --- a/namespaces.html +++ b/namespaces.html @@ -134,8 +134,7 @@ $(document).ready(function(){initNavTree('namespaces.html',''); initResizable();  ►Nsparse_table  CSparse_table  ►Nstack_using_queue - CStackStack Class implementation for basic methods of Stack Data Structure.
    - + CStackStack Class implementation for basic methods of Stack Data Structure  ►Ntree_234  CNode2-3-4 tree node class  CTree2342-3-4 tree class @@ -207,7 +206,7 @@ $(document).ready(function(){initNavTree('namespaces.html',''); initResizable();  Cadaline  Nmagic_sequenceFunctions for the Magic sequence implementation  NmanacherFunctions for Manacher's Algorithm implementation - ►NmathFor assert + ►NmathFor M_PI definition and pow()  Nbinomial  Nfibonacci_sum  Nmodular_division diff --git a/navtreeindex11.js b/navtreeindex11.js index 45c6a89aa..ea8e6e510 100644 --- a/navtreeindex11.js +++ b/navtreeindex11.js @@ -192,9 +192,9 @@ var NAVTREEINDEX11 = "dc/dd9/strand__sort_8cpp.html#aa8dca7b867074164d5f45b0f3851269d":[11,0,21,21,2], "dc/dd9/strand__sort_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4":[11,0,21,21,0], "dc/dfb/atbash__cipher_8cpp.html":[11,0,2,1], +"dc/dfb/atbash__cipher_8cpp.html#a8f7dd4dcd3df7c512c20482afc2dbb9d":[11,0,2,1,0], 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