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b/d0/d01/smallest__circle_8cpp_a6d0455dd5c30adda100e95f0423c786e_cgraph_org.svg index 337bfb906..2e291e966 100644 --- a/d0/d01/smallest__circle_8cpp_a6d0455dd5c30adda100e95f0423c786e_cgraph_org.svg +++ b/d0/d01/smallest__circle_8cpp_a6d0455dd5c30adda100e95f0423c786e_cgraph_org.svg @@ -1,7 +1,7 @@ - - - diff --git a/d0/d01/smallest__circle_8cpp_ae1a3968e7947464bee7714f6d43b7002_cgraph_org.svg b/d0/d01/smallest__circle_8cpp_ae1a3968e7947464bee7714f6d43b7002_cgraph_org.svg index e550ee2c1..911e05bb5 100644 --- a/d0/d01/smallest__circle_8cpp_ae1a3968e7947464bee7714f6d43b7002_cgraph_org.svg +++ b/d0/d01/smallest__circle_8cpp_ae1a3968e7947464bee7714f6d43b7002_cgraph_org.svg @@ -1,7 +1,7 @@ - - diff --git a/d0/d01/smallest__circle_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph_org.svg b/d0/d01/smallest__circle_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph_org.svg index 64259d48a..b0e1de63d 100644 --- a/d0/d01/smallest__circle_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph_org.svg +++ b/d0/d01/smallest__circle_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph_org.svg @@ -1,7 +1,7 @@ - - - - diff --git a/d0/d08/realtime__stats_8cpp_a3c04138a5bfe5d72780bb7e82a18e627_cgraph_org.svg b/d0/d08/realtime__stats_8cpp_a3c04138a5bfe5d72780bb7e82a18e627_cgraph_org.svg index abd3b3e5b..4b7933a37 100644 --- a/d0/d08/realtime__stats_8cpp_a3c04138a5bfe5d72780bb7e82a18e627_cgraph_org.svg +++ b/d0/d08/realtime__stats_8cpp_a3c04138a5bfe5d72780bb7e82a18e627_cgraph_org.svg @@ -1,7 +1,7 @@ - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Sqrt
double Sqrt(double a)
Definition: sqrt_double.cpp:16
std::srand
T srand(T... args)
lcm
unsigned int lcm(unsigned int x, unsigned int y)
Definition: least_common_multiple.cpp:43
-
tests
void tests()
Definition: least_common_multiple.cpp:48
+
tests
void tests()
Definition: least_common_multiple.cpp:50
prime_numbers
std::vector< int > prime_numbers
Definition: prime_factorization.cpp:16
main
int main()
Definition: primes_up_to_billion.cpp:26
MAX_ITERATIONS
#define MAX_ITERATIONS
Maximum number of iterations to check.
Definition: false_position.cpp:24
@@ -282,7 +282,7 @@ $(document).ready(function(){initNavTree('d1/dbe/lu__decomposition_8h_source.htm
SieveOfEratosthenes
void SieveOfEratosthenes(int N)
Definition: prime_factorization.cpp:23
std::string::substr
T substr(T... args)
miller_test
bool miller_test(T d, T num)
Definition: miller_rabin.cpp:73
-
main
int main()
Definition: least_common_multiple.cpp:67
+
main
int main()
Definition: least_common_multiple.cpp:78
lu_decomposition
int lu_decomposition(const matrix< T > &A, matrix< double > *L, matrix< double > *U)
Definition: lu_decomposition.h:29
binExpo
int64_t binExpo(int64_t a, int64_t b, int64_t m)
Definition: modular_inverse_fermat_little_theorem.cpp:52
std::endl
T endl(T... args)
diff --git a/d1/dc2/class_graph__coll__graph.svg b/d1/dc2/class_graph__coll__graph.svg index d84d9ab17..6be0e6d24 100644 --- a/d1/dc2/class_graph__coll__graph.svg +++ b/d1/dc2/class_graph__coll__graph.svg @@ -1,7 +1,7 @@ - - - - - - - - - - - - - - - - - - - - - - diff --git a/d2/d3b/namespaceqr__algorithm_a763896dbb4a7e95c4a1e614ac0819d66_cgraph_org.svg b/d2/d3b/namespaceqr__algorithm_a763896dbb4a7e95c4a1e614ac0819d66_cgraph_org.svg index 93ce97c5f..fbae7bf55 100644 --- a/d2/d3b/namespaceqr__algorithm_a763896dbb4a7e95c4a1e614ac0819d66_cgraph_org.svg +++ b/d2/d3b/namespaceqr__algorithm_a763896dbb4a7e95c4a1e614ac0819d66_cgraph_org.svg @@ -1,7 +1,7 @@ - - - - - diff --git a/d2/d4b/spirograph_8cpp__incl_org.svg b/d2/d4b/spirograph_8cpp__incl_org.svg index 81e2d1442..86b531731 100644 --- a/d2/d4b/spirograph_8cpp__incl_org.svg +++ b/d2/d4b/spirograph_8cpp__incl_org.svg @@ -1,7 +1,7 @@ - - - - - - - - - - - - diff --git a/d3/d1a/hill__cipher_8cpp__incl_org.svg b/d3/d1a/hill__cipher_8cpp__incl_org.svg index b9e502f18..758c8b22c 100644 --- a/d3/d1a/hill__cipher_8cpp__incl_org.svg +++ b/d3/d1a/hill__cipher_8cpp__incl_org.svg @@ -1,7 +1,7 @@ - - - diff --git a/d3/d24/qr__decomposition_8cpp_a840291bc02cba5474a4cb46a9b9566fe_cgraph_org.svg b/d3/d24/qr__decomposition_8cpp_a840291bc02cba5474a4cb46a9b9566fe_cgraph_org.svg index e73cf31cd..5194e8149 100644 --- a/d3/d24/qr__decomposition_8cpp_a840291bc02cba5474a4cb46a9b9566fe_cgraph_org.svg +++ b/d3/d24/qr__decomposition_8cpp_a840291bc02cba5474a4cb46a9b9566fe_cgraph_org.svg @@ -1,7 +1,7 @@ - - - - - - - - - - - - - - - - - - -
26  if (x > y) {
27  // The following is valid because we have checked whether y == 0
28 
-
29  int temp = x / y;
+
29  unsigned int temp = x / y;
30  return gcd(y, x - temp * y);
31  }
32  // Again the following is valid because we have checked whether x == 0
33 
-
34  int temp = y / x;
+
34  unsigned int temp = y / x;
35  return gcd(x, y - temp * x);
36 }
@@ -196,7 +196,9 @@ Functions

Function for finding the least common multiple of two numbers. @params integer x and y whose lcm we want to find.

Returns
lcm of x and y using the relation x * y = gcd(x, y) * lcm(x, y)
-
43 { return x * y / gcd(x, y); }
+
43  {
+
44  return x / gcd(x, y) * y;
+
45 }
Here is the call graph for this function:
@@ -221,10 +223,10 @@ Here is the call graph for this function:

Main function

-
67  {
-
68  tests();
-
69  return 0;
-
70 }
+
78  {
+
79  tests();
+
80  return 0;
+
81 }
Here is the call graph for this function:
@@ -249,21 +251,30 @@ Here is the call graph for this function:

Function for testing the lcm() functions with some assert statements.

-
48  {
-
49  // First test on lcm(5,10) == 10
-
50  assert(((void)"LCM of 5 and 10 is 10 but lcm function gives a different "
-
51  "result.\n",
-
52  lcm(5, 10) == 10));
-
53  std::cout << "First assertion passes: LCM of 5 and 10 is " << lcm(5, 10)
-
54  << std::endl;
-
55 
-
56  // Second test on lcm(2,3) == 6 as 2 and 3 are coprime (prime in fact)
-
57  assert(((void)"LCM of 2 and 3 is 6 but lcm function gives a different "
-
58  "result.\n",
-
59  lcm(2, 3) == 6));
-
60  std::cout << "Second assertion passes: LCM of 2 and 3 is " << lcm(2, 3)
-
61  << std::endl;
-
62 }
+
50  {
+
51  // First test on lcm(5,10) == 10
+
52  assert(((void)"LCM of 5 and 10 is 10 but lcm function gives a different "
+
53  "result.\n",
+
54  lcm(5, 10) == 10));
+
55  std::cout << "First assertion passes: LCM of 5 and 10 is " << lcm(5, 10)
+
56  << std::endl;
+
57 
+
58  // Second test on lcm(2,3) == 6 as 2 and 3 are coprime (prime in fact)
+
59  assert(((void)"LCM of 2 and 3 is 6 but lcm function gives a different "
+
60  "result.\n",
+
61  lcm(2, 3) == 6));
+
62  std::cout << "Second assertion passes: LCM of 2 and 3 is " << lcm(2, 3)
+
63  << std::endl;
+
64 
+
65  // Testing an integer overflow.
+
66  // The algorithm should work as long as the result fits into integer.
+
67  assert(((void)"LCM of 987654321 and 987654321 is 987654321 but lcm function"
+
68  " gives a different result.\n",
+
69  lcm(987654321, 987654321) == 987654321));
+
70  std::cout << "Third assertion passes: LCM of 987654321 and 987654321 is "
+
71  << lcm(987654321, 987654321)
+
72  << std::endl;
+
73 }
Here is the call graph for this function:
@@ -276,7 +287,7 @@ Here is the call graph for this function:
lcm
unsigned int lcm(unsigned int x, unsigned int y)
Definition: least_common_multiple.cpp:43
-
tests
void tests()
Definition: least_common_multiple.cpp:48
+
tests
void tests()
Definition: least_common_multiple.cpp:50
gcd
unsigned int gcd(unsigned int x, unsigned int y)
Definition: least_common_multiple.cpp:16
std::endl
T endl(T... args)
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