diff --git a/.gitignore b/.gitignore index 6d0cf62..2368036 100644 --- a/.gitignore +++ b/.gitignore @@ -1,3 +1,6 @@ +# Doxygen folder +docs/html + # Binaries bin diff --git a/docs/Doxyfile b/docs/Doxyfile index 22254e8..4a7e1b3 100644 --- a/docs/Doxyfile +++ b/docs/Doxyfile @@ -983,7 +983,7 @@ FILTER_SOURCE_PATTERNS = # (index.html). This can be useful if you have a project on for instance GitHub # and want to reuse the introduction page also for the doxygen output. -USE_MDFILE_AS_MAINPAGE = +USE_MDFILE_AS_MAINPAGE = #--------------------------------------------------------------------------- # Configuration options related to source browsing diff --git a/docs/html/_big_int_8hpp.html b/docs/html/_big_int_8hpp.html deleted file mode 100644 index 55c2869..0000000 --- a/docs/html/_big_int_8hpp.html +++ /dev/null @@ -1,103 +0,0 @@ - - - - - - - -/Users/Mohsin/Repos/BigInt/include/BigInt.hpp File Reference - - - - - - - - - - -
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BigInt.hpp File Reference
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class  BigInt
 Class that contains an arbitrarily sized integer. More...
 
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Detailed Description

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Contains class declaration for BigInt.

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BigInt.hpp
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1 
7 #ifndef BIG_INT_HPP
8 #define BIG_INT_HPP
9 
10 #include <iostream>
11 
15 class BigInt {
16 
17  std::string value;
18  char sign;
19 
20  public:
21 
22  // Constructors
23  BigInt();
24  BigInt(const BigInt&);
25  BigInt(const long long&);
26  BigInt(const std::string&);
27 
28  // Assignment operators:
29  BigInt& operator=(const BigInt&);
30  BigInt& operator=(const long long&);
31  BigInt& operator=(const std::string&);
32 
33  // Unary arithmetic operators:
34  BigInt operator+() const; // unary +
35  BigInt operator-() const; // unary -
36 
37  // Binary arithmetic operators:
38  BigInt operator+(const BigInt&) const;
39  BigInt operator-(const BigInt&) const;
40  BigInt operator*(const BigInt&) const;
41  BigInt operator/(const BigInt&) const;
42  BigInt operator%(const BigInt&) const;
43  BigInt operator+(const long long&) const;
44  BigInt operator-(const long long&) const;
45  BigInt operator*(const long long&) const;
46  BigInt operator/(const long long&) const;
47  BigInt operator%(const long long&) const;
48  BigInt operator+(const std::string&) const;
49  BigInt operator-(const std::string&) const;
50  BigInt operator*(const std::string&) const;
51  BigInt operator/(const std::string&) const;
52  BigInt operator%(const std::string&) const;
53 
54  // Arithmetic-assignment operators:
55  BigInt& operator+=(const BigInt&);
56  BigInt& operator-=(const BigInt&);
57  BigInt& operator*=(const BigInt&);
58  BigInt& operator/=(const BigInt&);
59  BigInt& operator%=(const BigInt&);
60  BigInt& operator+=(const long long&);
61  BigInt& operator-=(const long long&);
62  BigInt& operator*=(const long long&);
63  BigInt& operator/=(const long long&);
64  BigInt& operator%=(const long long&);
65  BigInt& operator+=(const std::string&);
66  BigInt& operator-=(const std::string&);
67  BigInt& operator*=(const std::string&);
68  BigInt& operator/=(const std::string&);
69  BigInt& operator%=(const std::string&);
70 
71  // Increment and decrement operators:
72  BigInt& operator++(); // pre-increment
73  BigInt& operator--(); // pre-decrement
74  BigInt operator++(int); // post-increment
75  BigInt operator--(int); // post-decrement
76 
77  // Relational operators:
78  bool operator<(const BigInt&) const;
79  bool operator>(const BigInt&) const;
80  bool operator<=(const BigInt&) const;
81  bool operator>=(const BigInt&) const;
82  bool operator==(const BigInt&) const;
83  bool operator!=(const BigInt&) const;
84  bool operator<(const long long&) const;
85  bool operator>(const long long&) const;
86  bool operator<=(const long long&) const;
87  bool operator>=(const long long&) const;
88  bool operator==(const long long&) const;
89  bool operator!=(const long long&) const;
90  bool operator<(const std::string&) const;
91  bool operator>(const std::string&) const;
92  bool operator<=(const std::string&) const;
93  bool operator>=(const std::string&) const;
94  bool operator==(const std::string&) const;
95  bool operator!=(const std::string&) const;
96 
97  // I/O stream operators:
98  friend std::istream& operator>>(std::istream&, BigInt&);
99  friend std::ostream& operator<<(std::ostream&, const BigInt&);
100 
101  // Conversion functions:
102  std::string to_string() const;
103  int to_int() const;
104  long to_long() const;
105  long long to_long_long() const;
106 
107  // Random number generating functions:
108  friend BigInt big_random(size_t);
109 };
110 
111 #endif // BIG_INT_HPP
BigInt::operator>=
bool operator>=(const BigInt &) const
Greater than equal to operator for two BigInt values.
Definition: relational.hpp:73
-
BigInt::operator/=
BigInt & operator/=(const BigInt &)
Shorthand for BigInt::operator/(const BigInt &) const.
Definition: arithmetic_assignment.hpp:48
-
BigInt::to_long
long to_long() const
Converts BigInt into long
Definition: conversion.hpp:45
-
BigInt::operator!=
bool operator!=(const BigInt &) const
Not Equal To operator for two BigInt values.
Definition: relational.hpp:30
-
BigInt::to_long_long
long long to_long_long() const
Converts BigInt into long long
Definition: conversion.hpp:57
-
BigInt::operator--
BigInt & operator--()
Pre-decrements the BigInt by 1.
Definition: increment_decrement.hpp:30
-
BigInt::operator+=
BigInt & operator+=(const BigInt &)
Shorthand for BigInt::operator+(const BigInt &) const.
Definition: arithmetic_assignment.hpp:18
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BigInt::operator/
BigInt operator/(const BigInt &) const
Performs integer division on two BigInt values and returns quotient.
Definition: binary_arithmetic.hpp:256
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BigInt::operator<<
friend std::ostream & operator<<(std::ostream &, const BigInt &)
Put BigInt into the output stream.
Definition: io_stream.hpp:30
-
BigInt
Class that contains an arbitrarily sized integer.
Definition: BigInt.hpp:15
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BigInt::BigInt
BigInt()
Default constructor for BigInt.
Definition: constructors.hpp:19
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BigInt::operator%=
BigInt & operator%=(const BigInt &)
Shorthand for BigInt::operator%(const BigInt &) const.
Definition: arithmetic_assignment.hpp:58
-
BigInt::to_string
std::string to_string() const
Converts BigInt into an std::string representation.
Definition: conversion.hpp:20
-
BigInt::operator*
BigInt operator*(const BigInt &) const
Performs multiplication on two BigInt values.
Definition: binary_arithmetic.hpp:153
-
BigInt::operator<
bool operator<(const BigInt &) const
Less than operator for two BigInt values.
Definition: relational.hpp:38
-
BigInt::to_int
int to_int() const
Converts BigInt into int
Definition: conversion.hpp:33
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BigInt::operator>
bool operator>(const BigInt &) const
Greater than operator for two BigInt values.
Definition: relational.hpp:57
-
BigInt::operator*=
BigInt & operator*=(const BigInt &)
Shorthand for BigInt::operator*(const BigInt &) const.
Definition: arithmetic_assignment.hpp:38
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BigInt::operator>>
friend std::istream & operator>>(std::istream &, BigInt &)
Get BigInt from the input stream.
Definition: io_stream.hpp:18
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BigInt::operator+
BigInt operator+() const
Performs unary + operation on BigInt.
Definition: unary_arithmetic.hpp:27
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BigInt::operator<=
bool operator<=(const BigInt &) const
Less than equal to operator for two BigInt values.
Definition: relational.hpp:65
-
BigInt::operator==
bool operator==(const BigInt &) const
Equal To operator for two BigInt values.
Definition: relational.hpp:22
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BigInt::big_random
friend BigInt big_random(size_t)
Generates a random BigInt with a specificied number of digits.
Definition: random.hpp:35
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BigInt::operator-=
BigInt & operator-=(const BigInt &)
Shorthand for BigInt::operator-(const BigInt &) const.
Definition: arithmetic_assignment.hpp:28
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BigInt::operator=
BigInt & operator=(const BigInt &)
Assigns BigInt value to BigInt object.
Definition: assignment.hpp:17
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BigInt::operator++
BigInt & operator++()
Pre-increments the BigInt by 1.
Definition: increment_decrement.hpp:20
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BigInt::operator%
BigInt operator%(const BigInt &) const
Returns remainder after performing integer division (modulo) on the two BigInt values.
Definition: binary_arithmetic.hpp:324
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BigInt::operator-
BigInt operator-() const
Performs unary - operation on BigInt.
Definition: unary_arithmetic.hpp:42
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Arithmetic-assignment operators. -More...

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1 
6 #ifndef BIG_INT_ARITHMETIC_ASSIGNMENT_OPERATORS_HPP
7 #define BIG_INT_ARITHMETIC_ASSIGNMENT_OPERATORS_HPP
8 
9 #include "BigInt.hpp"
10 #include "constructors/constructors.hpp"
11 #include "operators/assignment.hpp"
12 #include "operators/binary_arithmetic.hpp"
13 
14 
18 BigInt& BigInt::operator+=(const BigInt& num) {
19  *this = *this + num;
20 
21  return *this;
22 }
23 
24 
28 BigInt& BigInt::operator-=(const BigInt& num) {
29  *this = *this - num;
30 
31  return *this;
32 }
33 
34 
38 BigInt& BigInt::operator*=(const BigInt& num) {
39  *this = *this * num;
40 
41  return *this;
42 }
43 
44 
48 BigInt& BigInt::operator/=(const BigInt& num) {
49  *this = *this / num;
50 
51  return *this;
52 }
53 
54 
58 BigInt& BigInt::operator%=(const BigInt& num) {
59  *this = *this % num;
60 
61  return *this;
62 }
63 
64 
68 BigInt& BigInt::operator+=(const long long& num) {
69  *this = *this + BigInt(num);
70 
71  return *this;
72 }
73 
74 
78 BigInt& BigInt::operator-=(const long long& num) {
79  *this = *this - BigInt(num);
80 
81  return *this;
82 }
83 
84 
88 BigInt& BigInt::operator*=(const long long& num) {
89  *this = *this * BigInt(num);
90 
91  return *this;
92 }
93 
94 
98 BigInt& BigInt::operator/=(const long long& num) {
99  *this = *this / BigInt(num);
100 
101  return *this;
102 }
103 
104 
108 BigInt& BigInt::operator%=(const long long& num) {
109  *this = *this % BigInt(num);
110 
111  return *this;
112 }
113 
114 
118 BigInt& BigInt::operator+=(const std::string& num) {
119  *this = *this + BigInt(num);
120 
121  return *this;
122 }
123 
124 
128 BigInt& BigInt::operator-=(const std::string& num) {
129  *this = *this - BigInt(num);
130 
131  return *this;
132 }
133 
134 
138 BigInt& BigInt::operator*=(const std::string& num) {
139  *this = *this * BigInt(num);
140 
141  return *this;
142 }
143 
144 
148 BigInt& BigInt::operator/=(const std::string& num) {
149  *this = *this / BigInt(num);
150 
151  return *this;
152 }
153 
154 
158 BigInt& BigInt::operator%=(const std::string& num) {
159  *this = *this % BigInt(num);
160 
161  return *this;
162 }
163 
164 #endif // BIG_INT_ARITHMETIC_ASSIGNMENT_OPERATORS_HPP
BigInt::operator/=
BigInt & operator/=(const BigInt &)
Shorthand for BigInt::operator/(const BigInt &) const.
Definition: arithmetic_assignment.hpp:48
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assignment.hpp
Assignment operators of BigInt.
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BigInt::operator+=
BigInt & operator+=(const BigInt &)
Shorthand for BigInt::operator+(const BigInt &) const.
Definition: arithmetic_assignment.hpp:18
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BigInt
Class that contains an arbitrarily sized integer.
Definition: BigInt.hpp:15
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BigInt::BigInt
BigInt()
Default constructor for BigInt.
Definition: constructors.hpp:19
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BigInt::operator%=
BigInt & operator%=(const BigInt &)
Shorthand for BigInt::operator%(const BigInt &) const.
Definition: arithmetic_assignment.hpp:58
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constructors.hpp
contains constructors of BigInt
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BigInt::operator*=
BigInt & operator*=(const BigInt &)
Shorthand for BigInt::operator*(const BigInt &) const.
Definition: arithmetic_assignment.hpp:38
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binary_arithmetic.hpp
Binary arithmetic operators for BigInt.
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BigInt.hpp
Contains class declaration for BigInt.
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BigInt::operator-=
BigInt & operator-=(const BigInt &)
Shorthand for BigInt::operator-(const BigInt &) const.
Definition: arithmetic_assignment.hpp:28
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Assignment operators of BigInt.

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1 
7 #ifndef BIG_INT_ASSIGNMENT_OPERATORS_HPP
8 #define BIG_INT_ASSIGNMENT_OPERATORS_HPP
9 
10 #include "BigInt.hpp"
11 #include "constructors/constructors.hpp"
12 
13 
17 BigInt& BigInt::operator=(const BigInt& num) {
18  value = num.value;
19  sign = num.sign;
20 
21  return *this;
22 }
23 
24 
30 BigInt& BigInt::operator=(const long long& num) {
31  BigInt temp(num);
32  value = temp.value;
33  sign = temp.sign;
34 
35  return *this;
36 }
37 
38 
44 BigInt& BigInt::operator=(const std::string& num) {
45  BigInt temp(num);
46  value = temp.value;
47  sign = temp.sign;
48 
49  return *this;
50 }
51 
52 #endif // BIG_INT_ASSIGNMENT_OPERATORS_HPP
BigInt
Class that contains an arbitrarily sized integer.
Definition: BigInt.hpp:15
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constructors.hpp
contains constructors of BigInt
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BigInt.hpp
Contains class declaration for BigInt.
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BigInt::operator=
BigInt & operator=(const BigInt &)
Assigns BigInt value to BigInt object.
Definition: assignment.hpp:17
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Binary arithmetic operators for BigInt. -More...

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-#include "BigInt.hpp"
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-#include "functions/math.hpp"
-#include "functions/utility.hpp"
-#include "operators/arithmetic_assignment.hpp"
-#include "operators/assignment.hpp"
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-Functions

BigInt operator+ (const long long &lhs, const BigInt &rhs)
 Overloaded operator for adding BigInt to long long More...
 
BigInt operator- (const long long &lhs, const BigInt &rhs)
 Overloaded operator for subtracting BigInt by long long More...
 
BigInt operator* (const long long &lhs, const BigInt &rhs)
 Overloaded operator for multiplying long long and BigInt. More...
 
BigInt operator/ (const long long &lhs, const BigInt &rhs)
 Overloaded operator for integer dividing long long by BigInt. More...
 
BigInt operator% (const long long &lhs, const BigInt &rhs)
 Overloaded operator for performing long long modulo BigInt. More...
 
BigInt operator+ (const std::string &lhs, const BigInt &rhs)
 Overloaded operator for adding BigInt to std::string More...
 
BigInt operator- (const std::string &lhs, const BigInt &rhs)
 Overloaded operator for subtracting BigInt by std::string More...
 
BigInt operator* (const std::string &lhs, const BigInt &rhs)
 Overloaded operator for multiplying std::string and BigInt. More...
 
BigInt operator/ (const std::string &lhs, const BigInt &rhs)
 Overloaded operator for integer dividing std::string by BigInt. More...
 
BigInt operator% (const std::string &lhs, const BigInt &rhs)
 Overloaded operator for performing std::string modulo BigInt. More...
 
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-Variables

const long long FLOOR_SQRT_LLONG_MAX = 3037000499
 
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Detailed Description

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Binary arithmetic operators for BigInt.

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Function Documentation

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◆ operator%() [1/2]

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BigInt operator% (const long long & lhs,
const BigInt & rhs 
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Overloaded operator for performing long long modulo BigInt.

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Used for lhs (long long) % rhs (BigInt)

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◆ operator%() [2/2]

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BigInt operator% (const std::string & lhs,
const BigInt & rhs 
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Overloaded operator for performing std::string modulo BigInt.

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Used for lhs (std::string) % rhs (BigInt)

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◆ operator*() [1/2]

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BigInt operator* (const long long & lhs,
const BigInt & rhs 
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Overloaded operator for multiplying long long and BigInt.

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Used for lhs (long long) * rhs (BigInt)

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◆ operator*() [2/2]

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BigInt operator* (const std::string & lhs,
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Overloaded operator for multiplying std::string and BigInt.

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Used for lhs (std::string) * rhs (BigInt)

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◆ operator+() [1/2]

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BigInt operator+ (const long long & lhs,
const BigInt & rhs 
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Overloaded operator for adding BigInt to long long

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Used for lhs (long long) + rhs (BigInt)

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◆ operator+() [2/2]

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BigInt operator+ (const std::string & lhs,
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Overloaded operator for adding BigInt to std::string

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BigInt operator- (const long long & lhs,
const BigInt & rhs 
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Overloaded operator for subtracting BigInt by long long

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Used for lhs (long long) - rhs (BigInt)

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◆ operator-() [2/2]

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BigInt operator- (const std::string & lhs,
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Overloaded operator for subtracting BigInt by std::string

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Used for lhs (std::string) - rhs (BigInt)

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◆ operator/() [1/2]

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BigInt operator/ (const long long & lhs,
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Overloaded operator for integer dividing long long by BigInt.

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Used for lhs (long long) / rhs (BigInt)

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BigInt operator/ (const std::string & lhs,
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Overloaded operator for integer dividing std::string by BigInt.

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Used for lhs (std::string) / rhs (BigInt)

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Variable Documentation

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◆ FLOOR_SQRT_LLONG_MAX

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const long long FLOOR_SQRT_LLONG_MAX = 3037000499
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Square root of LLONG_MAX

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1 
7 #ifndef BIG_INT_BINARY_ARITHMETIC_OPERATORS_HPP
8 #define BIG_INT_BINARY_ARITHMETIC_OPERATORS_HPP
9 
10 #include <climits>
11 #include <cmath>
12 #include <string>
13 
14 #include "BigInt.hpp"
15 #include "constructors/constructors.hpp"
16 #include "functions/math.hpp"
17 #include "functions/utility.hpp"
18 #include "operators/arithmetic_assignment.hpp"
19 #include "operators/assignment.hpp"
20 #include "operators/increment_decrement.hpp"
21 #include "operators/relational.hpp"
22 #include "operators/unary_arithmetic.hpp"
23 
24 const long long FLOOR_SQRT_LLONG_MAX = 3037000499;
34 BigInt BigInt::operator+(const BigInt& num) const {
35  // if the operands are of opposite signs, perform subtraction
36  if (this->sign == '+' and num.sign == '-') {
37  BigInt rhs = num;
38  rhs.sign = '+';
39  return *this - rhs;
40  }
41  else if (this->sign == '-' and num.sign == '+') {
42  BigInt lhs = *this;
43  lhs.sign = '+';
44  return -(lhs - num);
45  }
46 
47  // identify the numbers as `larger` and `smaller`
48  std::string larger, smaller;
49  std::tie(larger, smaller) = get_larger_and_smaller(this->value, num.value);
50 
51  BigInt result; // the resultant sum
52  result.value = ""; // the value is cleared as the digits will be appended
53  short carry = 0, sum;
54  // add the two values
55  for (long i = larger.size() - 1; i >= 0; i--) {
56  sum = larger[i] - '0' + smaller[i] - '0' + carry;
57  result.value = std::to_string(sum % 10) + result.value;
58  carry = sum / (short) 10;
59  }
60  if (carry)
61  result.value = std::to_string(carry) + result.value;
62 
63  // if the operands are negative, the result is negative
64  if (this->sign == '-' and result.value != "0")
65  result.sign = '-';
66 
67  return result;
68 }
69 
70 
80 BigInt BigInt::operator-(const BigInt& num) const {
81  // if the operands are of opposite signs, perform addition
82  if (this->sign == '+' and num.sign == '-') {
83  BigInt rhs = num;
84  rhs.sign = '+';
85  return *this + rhs;
86  }
87  else if (this->sign == '-' and num.sign == '+') {
88  BigInt lhs = *this;
89  lhs.sign = '+';
90  return -(lhs + num);
91  }
92 
93  BigInt result; // the resultant difference
94  // identify the numbers as `larger` and `smaller`
95  std::string larger, smaller;
96  if (abs(*this) > abs(num)) {
97  larger = this->value;
98  smaller = num.value;
99 
100  if (this->sign == '-') // -larger - -smaller = -result
101  result.sign = '-';
102  }
103  else {
104  larger = num.value;
105  smaller = this->value;
106 
107  if (num.sign == '+') // smaller - larger = -result
108  result.sign = '-';
109  }
110  // pad the smaller number with zeroes
111  add_leading_zeroes(smaller, larger.size() - smaller.size());
112 
113  result.value = ""; // the value is cleared as the digits will be appended
114  short difference;
115  long i, j;
116  // subtract the two values
117  for (i = larger.size() - 1; i >= 0; i--) {
118  difference = larger[i] - smaller[i];
119  if (difference < 0) {
120  for (j = i - 1; j >= 0; j--) {
121  if (larger[j] != '0') {
122  larger[j]--; // borrow from the j-th digit
123  break;
124  }
125  }
126  j++;
127  while (j != i) {
128  larger[j] = '9'; // add the borrow and take away 1
129  j++;
130  }
131  difference += 10; // add the borrow
132  }
133  result.value = std::to_string(difference) + result.value;
134  }
135  strip_leading_zeroes(result.value);
136 
137  // if the result is 0, set its sign as +
138  if (result.value == "0")
139  result.sign = '+';
140 
141  return result;
142 }
143 
144 
153 BigInt BigInt::operator*(const BigInt& num) const {
154  if (*this == 0 or num == 0)
155  return BigInt(0);
156  if (*this == 1)
157  return num;
158  if (num == 1)
159  return *this;
160 
161  BigInt product;
162  if (abs(*this) <= FLOOR_SQRT_LLONG_MAX and abs(num) <= FLOOR_SQRT_LLONG_MAX)
163  product = std::stoll(this->value) * std::stoll(num.value);
164  else if (is_power_of_10(this->value)){ // if LHS is a power of 10 do optimised operation
165  product.value = num.value;
166  product.value.append(this->value.begin() + 1, this->value.end());
167  }
168  else if (is_power_of_10(num.value)){ // if RHS is a power of 10 do optimised operation
169  product.value = this->value;
170  product.value.append(num.value.begin() + 1, num.value.end());
171  }
172  else {
173  // identify the numbers as `larger` and `smaller`
174  std::string larger, smaller;
175  std::tie(larger, smaller) = get_larger_and_smaller(this->value, num.value);
176 
177  size_t half_length = larger.size() / 2;
178  auto half_length_ceil = (size_t) ceil(larger.size() / 2.0);
179 
180  BigInt num1_high, num1_low;
181  num1_high = larger.substr(0, half_length);
182  num1_low = larger.substr(half_length);
183 
184  BigInt num2_high, num2_low;
185  num2_high = smaller.substr(0, half_length);
186  num2_low = smaller.substr(half_length);
187 
188  strip_leading_zeroes(num1_high.value);
189  strip_leading_zeroes(num1_low.value);
190  strip_leading_zeroes(num2_high.value);
191  strip_leading_zeroes(num2_low.value);
192 
193  BigInt prod_high, prod_mid, prod_low;
194  prod_high = num1_high * num2_high;
195  prod_low = num1_low * num2_low;
196  prod_mid = (num1_high + num1_low) * (num2_high + num2_low)
197  - prod_high - prod_low;
198 
199  add_trailing_zeroes(prod_high.value, 2 * half_length_ceil);
200  add_trailing_zeroes(prod_mid.value, half_length_ceil);
201 
202  strip_leading_zeroes(prod_high.value);
203  strip_leading_zeroes(prod_mid.value);
204  strip_leading_zeroes(prod_low.value);
205 
206  product = prod_high + prod_mid + prod_low;
207  }
208  strip_leading_zeroes(product.value);
209 
210  if (this->sign == num.sign)
211  product.sign = '+';
212  else
213  product.sign = '-';
214 
215  return product;
216 }
217 
218 
230 std::tuple<BigInt, BigInt> divide(const BigInt& dividend, const BigInt& divisor) {
231  BigInt quotient, remainder, temp;
232 
233  temp = divisor;
234  quotient = 1;
235  while (temp < dividend) {
236  quotient++;
237  temp += divisor;
238  }
239  if (temp > dividend) {
240  quotient--;
241  remainder = dividend - (temp - divisor);
242  }
243 
244  return std::make_tuple(quotient, remainder);
245 }
246 
247 
256 BigInt BigInt::operator/(const BigInt& num) const {
257  BigInt abs_dividend = abs(*this);
258  BigInt abs_divisor = abs(num);
259 
260  if (num == 0)
261  throw std::logic_error("Attempted division by zero");
262  if (abs_dividend < abs_divisor)
263  return BigInt(0);
264  if (num == 1)
265  return *this;
266  if (num == -1)
267  return -(*this);
268 
269  BigInt quotient;
270  if (abs_dividend <= LLONG_MAX and abs_divisor <= LLONG_MAX)
271  quotient = std::stoll(abs_dividend.value) / std::stoll(abs_divisor.value);
272  else if (abs_dividend == abs_divisor)
273  quotient = 1;
274  else if (is_power_of_10(abs_divisor.value)) { // if divisor is a power of 10 do optimised calculation
275  size_t digits_in_quotient = abs_dividend.value.size() - abs_divisor.value.size() + 1;
276  quotient.value = abs_dividend.value.substr(0, digits_in_quotient);
277  }
278  else {
279  quotient.value = ""; // the value is cleared as digits will be appended
280  BigInt chunk, chunk_quotient, chunk_remainder;
281  size_t chunk_index = 0;
282  chunk_remainder.value = abs_dividend.value.substr(chunk_index, abs_divisor.value.size() - 1);
283  chunk_index = abs_divisor.value.size() - 1;
284  while (chunk_index < abs_dividend.value.size()) {
285  chunk.value = chunk_remainder.value.append(1, abs_dividend.value[chunk_index]);
286  chunk_index++;
287  while (chunk < abs_divisor) {
288  quotient.value += "0";
289  if (chunk_index < abs_dividend.value.size()) {
290  chunk.value.append(1, abs_dividend.value[chunk_index]);
291  chunk_index++;
292  }
293  else
294  break;
295  }
296  if (chunk == abs_divisor) {
297  quotient.value += "1";
298  chunk_remainder = 0;
299  }
300  else if (chunk > abs_divisor) {
301  strip_leading_zeroes(chunk.value);
302  std::tie(chunk_quotient, chunk_remainder) = divide(chunk, abs_divisor);
303  quotient.value += chunk_quotient.value;
304  }
305  }
306  }
307  strip_leading_zeroes(quotient.value);
308 
309  if (this->sign == num.sign)
310  quotient.sign = '+';
311  else
312  quotient.sign = '-';
313 
314  return quotient;
315 }
316 
317 
324 BigInt BigInt::operator%(const BigInt& num) const {
325  BigInt abs_dividend = abs(*this);
326  BigInt abs_divisor = abs(num);
327 
328  if (abs_divisor == 0)
329  throw std::logic_error("Attempted division by zero");
330  if (abs_divisor == 1 or abs_divisor == abs_dividend)
331  return BigInt(0);
332 
333  BigInt remainder;
334  if (abs_dividend <= LLONG_MAX and abs_divisor <= LLONG_MAX)
335  remainder = std::stoll(abs_dividend.value) % std::stoll(abs_divisor.value);
336  else if (abs_dividend < abs_divisor)
337  remainder = abs_dividend;
338  else if (is_power_of_10(num.value)){ // if num is a power of 10 use optimised calculation
339  size_t no_of_zeroes = num.value.size() - 1;
340  remainder.value = abs_dividend.value.substr(abs_dividend.value.size() - no_of_zeroes);
341  }
342  else {
343  BigInt quotient = abs_dividend / abs_divisor;
344  remainder = abs_dividend - quotient * abs_divisor;
345  }
346  strip_leading_zeroes(remainder.value);
347 
348  // remainder has the same sign as that of the dividend
349  remainder.sign = this->sign;
350  if (remainder.value == "0") // except if its zero
351  remainder.sign = '+';
352 
353  return remainder;
354 }
355 
356 
366 BigInt BigInt::operator+(const long long& num) const {
367  return *this + BigInt(num);
368 }
369 
370 
376 BigInt operator+(const long long& lhs, const BigInt& rhs) {
377  return BigInt(lhs) + rhs;
378 }
379 
380 
390 BigInt BigInt::operator-(const long long& num) const {
391  return *this - BigInt(num);
392 }
393 
394 
400 BigInt operator-(const long long& lhs, const BigInt& rhs) {
401  return BigInt(lhs) - rhs;
402 }
403 
404 
414 BigInt BigInt::operator*(const long long& num) const {
415  return *this * BigInt(num);
416 }
417 
418 
424 BigInt operator*(const long long& lhs, const BigInt& rhs) {
425  return BigInt(lhs) * rhs;
426 }
427 
428 
438 BigInt BigInt::operator/(const long long& num) const {
439  return *this / BigInt(num);
440 }
441 
442 
448 BigInt operator/(const long long& lhs, const BigInt& rhs) {
449  return BigInt(lhs) / rhs;
450 }
451 
452 
462 BigInt BigInt::operator%(const long long& num) const {
463  return *this % BigInt(num);
464 }
465 
466 
472 BigInt operator%(const long long& lhs, const BigInt& rhs) {
473  return BigInt(lhs) % rhs;
474 }
475 
476 
486 BigInt BigInt::operator+(const std::string& num) const {
487  return *this + BigInt(num);
488 }
489 
490 
496 BigInt operator+(const std::string& lhs, const BigInt& rhs) {
497  return BigInt(lhs) + rhs;
498 }
499 
500 
510 BigInt BigInt::operator-(const std::string& num) const {
511  return *this - BigInt(num);
512 }
513 
514 
520 BigInt operator-(const std::string& lhs, const BigInt& rhs) {
521  return BigInt(lhs) - rhs;
522 }
523 
524 
534 BigInt BigInt::operator*(const std::string& num) const {
535  return *this * BigInt(num);
536 }
537 
538 
544 BigInt operator*(const std::string& lhs, const BigInt& rhs) {
545  return BigInt(lhs) * rhs;
546 }
547 
548 
558 BigInt BigInt::operator/(const std::string& num) const {
559  return *this / BigInt(num);
560 }
561 
562 
568 BigInt operator/(const std::string& lhs, const BigInt& rhs) {
569  return BigInt(lhs) / rhs;
570 }
571 
572 
582 BigInt BigInt::operator%(const std::string& num) const {
583  return *this % BigInt(num);
584 }
585 
586 
592 BigInt operator%(const std::string& lhs, const BigInt& rhs) {
593  return BigInt(lhs) % rhs;
594 }
595 
596 #endif // BIG_INT_BINARY_ARITHMETIC_OPERATORS_HPP
operator+
BigInt operator+(const long long &lhs, const BigInt &rhs)
Overloaded operator for adding BigInt to long long
Definition: binary_arithmetic.hpp:376
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is_power_of_10
bool is_power_of_10(const std::string &num)
Checks if a std::string value is a power of ten.
Definition: utility.hpp:114
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get_larger_and_smaller
std::tuple< std::string, std::string > get_larger_and_smaller(const std::string &num1, const std::string &num2)
Returns std::string parameters in order of value.
Definition: utility.hpp:86
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operator-
BigInt operator-(const long long &lhs, const BigInt &rhs)
Overloaded operator for subtracting BigInt by long long
Definition: binary_arithmetic.hpp:400
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FLOOR_SQRT_LLONG_MAX
const long long FLOOR_SQRT_LLONG_MAX
Definition: binary_arithmetic.hpp:24
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assignment.hpp
Assignment operators of BigInt.
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operator/
BigInt operator/(const long long &lhs, const BigInt &rhs)
Overloaded operator for integer dividing long long by BigInt.
Definition: binary_arithmetic.hpp:448
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operator%
BigInt operator%(const long long &lhs, const BigInt &rhs)
Overloaded operator for performing long long modulo BigInt.
Definition: binary_arithmetic.hpp:472
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BigInt::operator/
BigInt operator/(const BigInt &) const
Performs integer division on two BigInt values and returns quotient.
Definition: binary_arithmetic.hpp:256
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BigInt
Class that contains an arbitrarily sized integer.
Definition: BigInt.hpp:15
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BigInt::BigInt
BigInt()
Default constructor for BigInt.
Definition: constructors.hpp:19
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BigInt::divide
std::tuple< BigInt, BigInt > divide(const BigInt &dividend, const BigInt &divisor)
Helper function to perform division on two BigInt values.
Definition: binary_arithmetic.hpp:230
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math.hpp
Common math functions that work on BigInt.
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arithmetic_assignment.hpp
Arithmetic-assignment operators.
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BigInt::operator*
BigInt operator*(const BigInt &) const
Performs multiplication on two BigInt values.
Definition: binary_arithmetic.hpp:153
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add_trailing_zeroes
void add_trailing_zeroes(std::string &num, size_t num_zeroes)
Adds trailing zeros to std::string value.
Definition: utility.hpp:69
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utility.hpp
Contains some utility functions.
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unary_arithmetic.hpp
Defining the unary arithmetic operators for BigInt.
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constructors.hpp
contains constructors of BigInt
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increment_decrement.hpp
Increment and decrement operators for BigInt.
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add_leading_zeroes
void add_leading_zeroes(std::string &num, size_t num_zeroes)
Adds leading zeros to std::string value.
Definition: utility.hpp:58
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BigInt::operator+
BigInt operator+() const
Performs unary + operation on BigInt.
Definition: unary_arithmetic.hpp:27
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operator*
BigInt operator*(const long long &lhs, const BigInt &rhs)
Overloaded operator for multiplying long long and BigInt.
Definition: binary_arithmetic.hpp:424
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BigInt.hpp
Contains class declaration for BigInt.
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abs
BigInt abs(const BigInt &num)
Returns absolute value of the integer.
Definition: math.hpp:21
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relational.hpp
Defining the relational operators for BigInt.
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BigInt::operator%
BigInt operator%(const BigInt &) const
Returns remainder after performing integer division (modulo) on the two BigInt values.
Definition: binary_arithmetic.hpp:324
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BigInt::operator-
BigInt operator-() const
Performs unary - operation on BigInt.
Definition: unary_arithmetic.hpp:42
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strip_leading_zeroes
void strip_leading_zeroes(std::string &num)
Removes leading zeroes from an std::string integer.
Definition: utility.hpp:33
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operator!=(const BigInt &) constBigInt
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operator!=(const std::string &) constBigInt
operator%(const BigInt &) constBigInt
operator%(const long long &) constBigInt
operator%(const std::string &) constBigInt
operator%=(const BigInt &)BigInt
operator%=(const long long &)BigInt
operator%=(const std::string &)BigInt
operator*(const BigInt &) constBigInt
operator*(const long long &) constBigInt
operator*(const std::string &) constBigInt
operator*=(const BigInt &)BigInt
operator*=(const long long &)BigInt
operator*=(const std::string &)BigInt
operator+() constBigInt
operator+(const BigInt &) constBigInt
operator+(const long long &) constBigInt
operator+(const std::string &) constBigInt
operator++()BigInt
operator++(int)BigInt
operator+=(const BigInt &)BigInt
operator+=(const long long &)BigInt
operator+=(const std::string &)BigInt
operator-() constBigInt
operator-(const BigInt &) constBigInt
operator-(const long long &) constBigInt
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operator--()BigInt
operator--(int)BigInt
operator-=(const BigInt &)BigInt
operator-=(const long long &)BigInt
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operator/(const BigInt &) constBigInt
operator/(const long long &) constBigInt
operator/(const std::string &) constBigInt
operator/=(const BigInt &)BigInt
operator/=(const long long &)BigInt
operator/=(const std::string &)BigInt
operator<(const BigInt &) constBigInt
operator<(const long long &) constBigInt
operator<(const std::string &) constBigInt
operator<<(std::ostream &, const BigInt &)BigIntfriend
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operator<=(const long long &) constBigInt
operator<=(const std::string &) constBigInt
operator=(const BigInt &)BigInt
operator=(const long long &)BigInt
operator=(const std::string &)BigInt
operator==(const BigInt &) constBigInt
operator==(const long long &) constBigInt
operator==(const std::string &) constBigInt
operator>(const BigInt &) constBigInt
operator>(const long long &) constBigInt
operator>(const std::string &) constBigInt
operator>=(const BigInt &) constBigInt
operator>=(const long long &) constBigInt
operator>=(const std::string &) constBigInt
operator>>(std::istream &, BigInt &)BigIntfriend
to_int() constBigInt
to_long() constBigInt
to_long_long() constBigInt
to_string() constBigInt
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#include <BigInt.hpp>

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-Public Member Functions

 BigInt ()
 Default constructor for BigInt. More...
 
 BigInt (const BigInt &)
 Copy constructor for BigInt. More...
 
 BigInt (const long long &)
 Constructor that converts long long to BigInt. More...
 
 BigInt (const std::string &)
 Constructor that converts std::string to BigInt. More...
 
-BigInt & operator= (const BigInt &)
 Assigns BigInt value to BigInt object.
 
BigInt & operator= (const long long &)
 Assigns long long value to BigInt object. More...
 
BigInt & operator= (const std::string &)
 Assigns std::string value to BigInt object. More...
 
BigInt operator+ () const
 Performs unary + operation on BigInt. More...
 
BigInt operator- () const
 Performs unary - operation on BigInt. More...
 
BigInt operator+ (const BigInt &) const
 Performs addition on two BigInt values. More...
 
BigInt operator- (const BigInt &) const
 Performs subtraction on two BigInt values. More...
 
BigInt operator* (const BigInt &) const
 Performs multiplication on two BigInt values. More...
 
BigInt operator/ (const BigInt &) const
 Performs integer division on two BigInt values and returns quotient. More...
 
BigInt operator% (const BigInt &) const
 Returns remainder after performing integer division (modulo) on the two BigInt values. More...
 
BigInt operator+ (const long long &) const
 Adds BigInt with long long value. More...
 
BigInt operator- (const long long &) const
 Subtracts long long from BigInt value. More...
 
BigInt operator* (const long long &) const
 Perform multiplication of BigInt and long long value. More...
 
BigInt operator/ (const long long &) const
 Quotient of integer division of BigInt with long long value. More...
 
BigInt operator% (const long long &) const
 Remainder of integer division of BigInt with long long value (modulus) More...
 
BigInt operator+ (const std::string &) const
 Adds BigInt with std::string value. More...
 
BigInt operator- (const std::string &) const
 Subtracts std::string from BigInt value. More...
 
BigInt operator* (const std::string &) const
 Perform multiplication of BigInt and std::string value. More...
 
BigInt operator/ (const std::string &) const
 Quotient of integer division of BigInt with std::string value. More...
 
BigInt operator% (const std::string &) const
 Remainder of integer division of BigInt with std::string value (modulus) More...
 
-BigInt & operator+= (const BigInt &)
 Shorthand for BigInt::operator+(const BigInt &) const.
 
-BigInt & operator-= (const BigInt &)
 Shorthand for BigInt::operator-(const BigInt &) const.
 
-BigInt & operator*= (const BigInt &)
 Shorthand for BigInt::operator*(const BigInt &) const.
 
-BigInt & operator/= (const BigInt &)
 Shorthand for BigInt::operator/(const BigInt &) const.
 
-BigInt & operator%= (const BigInt &)
 Shorthand for BigInt::operator%(const BigInt &) const.
 
-BigInt & operator+= (const long long &)
 Shorthand for BigInt::operator+(const long long &) const.
 
-BigInt & operator-= (const long long &)
 Shorthand for BigInt::operator-(const long long &) const.
 
-BigInt & operator*= (const long long &)
 Shorthand for BigInt::operator*(const long long &) const.
 
-BigInt & operator/= (const long long &)
 Shorthand for BigInt::operator/(const long long &) const.
 
-BigInt & operator%= (const long long &)
 Shorthand for BigInt::operator%(const long long &) const.
 
-BigInt & operator+= (const std::string &)
 Shorthand for BigInt::operator+(const std::string &) const.
 
-BigInt & operator-= (const std::string &)
 Shorthand for BigInt::operator-(const std::string &) const.
 
-BigInt & operator*= (const std::string &)
 Shorthand for BigInt::operator*(const std::string &) const.
 
-BigInt & operator/= (const std::string &)
 Shorthand for BigInt::operator/(const std::string &) const.
 
-BigInt & operator%= (const std::string &)
 Shorthand for BigInt::operator%(const std::string &) const.
 
-BigInt & operator++ ()
 Pre-increments the BigInt by 1.
 
-BigInt & operator-- ()
 Pre-decrements the BigInt by 1.
 
-BigInt operator++ (int)
 Post-increments the BigInt by 1.
 
-BigInt operator-- (int)
 Post-decrements the BigInt by 1.
 
-bool operator< (const BigInt &) const
 Less than operator for two BigInt values.
 
-bool operator> (const BigInt &) const
 Greater than operator for two BigInt values.
 
-bool operator<= (const BigInt &) const
 Less than equal to operator for two BigInt values.
 
-bool operator>= (const BigInt &) const
 Greater than equal to operator for two BigInt values.
 
-bool operator== (const BigInt &) const
 Equal To operator for two BigInt values.
 
-bool operator!= (const BigInt &) const
 Not Equal To operator for two BigInt values.
 
-bool operator< (const long long &) const
 Less Than operator for BigInt vs long long
 
-bool operator> (const long long &) const
 Greater Than operator for BigInt vs long long
 
-bool operator<= (const long long &) const
 Less Than Equal To operator for BigInt vs long long
 
-bool operator>= (const long long &) const
 Greater Than Equal To operator for BigInt vs long long
 
-bool operator== (const long long &) const
 Equal To operator for BigInt vs long long
 
-bool operator!= (const long long &) const
 Not Equal To operator for BigInt vs long long
 
-bool operator< (const std::string &) const
 Less Than operator for BigInt vs std::string
 
-bool operator> (const std::string &) const
 Greater Than operator for BigInt vs std::string
 
-bool operator<= (const std::string &) const
 Less Than Equal To operator for BigInt vs std::string
 
-bool operator>= (const std::string &) const
 Greater Than Equal To operator for BigInt vs std::string
 
-bool operator== (const std::string &) const
 Equal To operator for BigInt vs std::string
 
-bool operator!= (const std::string &) const
 Not Equal To operator for BigInt vs std::string
 
std::string to_string () const
 Converts BigInt into an std::string representation. More...
 
int to_int () const
 Converts BigInt into int More...
 
long to_long () const
 Converts BigInt into long More...
 
long long to_long_long () const
 Converts BigInt into long long More...
 
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-Friends

-std::istream & operator>> (std::istream &, BigInt &)
 Get BigInt from the input stream.
 
-std::ostream & operator<< (std::ostream &, const BigInt &)
 Put BigInt into the output stream.
 
BigInt big_random (size_t)
 Generates a random BigInt with a specificied number of digits. More...
 
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-Related Functions

(Note that these are not member functions.)

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std::tuple< BigInt, BigInt > divide (const BigInt &dividend, const BigInt &divisor)
 Helper function to perform division on two BigInt values. More...
 
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Detailed Description

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Class that contains an arbitrarily sized integer.

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Constructor & Destructor Documentation

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◆ BigInt() [1/4]

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BigInt::BigInt ()
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Default constructor for BigInt.

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Returns
BigInt with value initialized to zero.
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◆ BigInt() [2/4]

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BigInt::BigInt (const BigInt & num)
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Copy constructor for BigInt.

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Parameters
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numa BigInt that is to be copied
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BigInt with equal value as num
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◆ BigInt() [3/4]

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BigInt::BigInt (const long long & num)
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Constructor that converts long long to BigInt.

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numa long long value
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BigInt with equal value as num
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◆ BigInt() [4/4]

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BigInt::BigInt (const std::string & num)
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Constructor that converts std::string to BigInt.

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Parameters
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numstd::string that represents an integer
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BigInt with value represented in num
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Member Function Documentation

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◆ operator%() [1/3]

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BigInt BigInt::operator% (const BigInt & num) const
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Returns remainder after performing integer division (modulo) on the two BigInt values.

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num(which is the divisor or modulus) is the BigInt on the right
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a BigInt containing the remainder of the division (or modulus operation) performed
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◆ operator%() [2/3]

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BigInt BigInt::operator% (const long long & num) const
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Remainder of integer division of BigInt with long long value (modulus)

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Uses BigInt::operator%(const BigInt&) const after converting num to BigInt type.

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numis a long long value (modulus)
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BigInt remainder of two integers
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◆ operator%() [3/3]

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BigInt BigInt::operator% (const std::string & num) const
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Remainder of integer division of BigInt with std::string value (modulus)

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Uses BigInt::operator%(const BigInt&) const after converting num to BigInt type.

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numis a std::string value (modulus)
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◆ operator*() [1/3]

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BigInt BigInt::operator* (const BigInt & num) const
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Performs multiplication on two BigInt values.

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Implemented using Karatsuba's algorithm.

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numis the BigInt on the right
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a BigInt containing the product of the two numbers
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◆ operator*() [2/3]

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BigInt BigInt::operator* (const long long & num) const
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Perform multiplication of BigInt and long long value.

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Uses BigInt::operator*(const BigInt&) const after converting num to BigInt type.

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numis a long long value
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BigInt product of two integers
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BigInt BigInt::operator* (const std::string & num) const
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Perform multiplication of BigInt and std::string value.

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Uses BigInt::operator*(const BigInt&) const after converting num to BigInt type.

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numis a std::string value
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BigInt product of two integers
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◆ operator+() [1/4]

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BigInt BigInt::operator+ () const
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Performs unary + operation on BigInt.

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Practically same as multiplying with one.

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Returns
a BigInt object with similar value.
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This function does not return the absolute value. To get the absolute value of a BigInt, use the abs function.
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◆ operator+() [2/4]

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BigInt BigInt::operator+ (const BigInt & num) const
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Performs addition on two BigInt values.

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Values added across by carry addition.

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numis the BigInt on the right
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a BigInt containing the sum of the two values
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◆ operator+() [3/4]

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BigInt BigInt::operator+ (const long long & num) const
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Adds BigInt with long long value.

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Uses BigInt::operator+(const BigInt &) const after converting num to BigInt type.

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numis a long long value
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BigInt sum of two integers
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BigInt BigInt::operator+ (const std::string & num) const
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Adds BigInt with std::string value.

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Uses BigInt::operator+(const BigInt &) const after converting num to BigInt type.

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numis a std::string value
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BigInt sum of two integers
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BigInt BigInt::operator- () const
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Performs unary - operation on BigInt.

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Practically same as multiplying with negative one. The sign of the integer is toggled (+ or -).

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a BigInt object with toggled value
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◆ operator-() [2/4]

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BigInt BigInt::operator- (const BigInt & num) const
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Performs subtraction on two BigInt values.

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Implemented using a borrowing-difference based algorithm.

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a BigInt containing the difference of the second value from the first
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BigInt BigInt::operator- (const long long & num) const
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Subtracts long long from BigInt value.

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Uses BigInt::operator-(const BigInt&) const after converting num to BigInt type.

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numis a long long value
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BigInt difference of two integers
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BigInt BigInt::operator- (const std::string & num) const
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Subtracts std::string from BigInt value.

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Uses BigInt::operator-(const BigInt&) const after converting num to BigInt type.

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numis a std::string value
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BigInt difference of two integers
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◆ operator/() [1/3]

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BigInt BigInt::operator/ (const BigInt & num) const
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Performs integer division on two BigInt values and returns quotient.

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Uses the long-division method. Makes use of divide()

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num(which is the divisor) is the BigInt on the right
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BigInt BigInt::operator/ (const long long & num) const
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Quotient of integer division of BigInt with long long value.

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Uses BigInt::operator/(const BigInt&) const after converting num to BigInt type.

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numis a long long value
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BigInt quotient of two integers
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Quotient of integer division of BigInt with std::string value.

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Uses BigInt::operator/(const BigInt&) const after converting num to BigInt type.

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◆ operator=() [1/2]

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BigInt & BigInt::operator= (const long long & num)
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Assigns long long value to BigInt object.

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Assigns std::string value to BigInt object.

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◆ to_int()

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int BigInt::to_int () const
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Converts BigInt into int

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int containing BigInt value.
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If the BigInt range is outside the accepted range of an int, out_of_range exception will be thrown.
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◆ to_long()

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long BigInt::to_long () const
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Converts BigInt into long

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long containing BigInt value.
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If the BigInt range is outside the accepted range of an long, out_of_range exception will be thrown.
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◆ to_long_long()

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Converts BigInt into long long

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long long containing BigInt value.
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If the BigInt range is outside the accepted range of an long long, out_of_range exception will be thrown.
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◆ to_string()

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std::string BigInt::to_string () const
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Converts BigInt into an std::string representation.

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Returns the string representation of the integer with a prefix of '-' if negative, and no prefix otherwise.

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std::string representing BigInt value
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Friends And Related Function Documentation

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◆ big_random

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BigInt big_random (size_t num_digits = 0)
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Generates a random BigInt with a specificied number of digits.

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big_random (num_digits)

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Returns a random BigInt with a specific number of digits.

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num_digitsint specifying number of digits in BigInt. It is optional.
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BigInt with num_digits number of digits
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◆ divide()

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std::tuple< BigInt, BigInt > divide (const BigInt & dividend,
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Helper function to perform division on two BigInt values.

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Does naive divisor addition until dividend is crossed.

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dividendis the BigInt value to be divided
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an std::tuple of two BigInt values containing the quotient and remainder of the division performed.
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contains constructors of BigInt -More...

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Detailed Description

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contains constructors of BigInt

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1 
7 #ifndef BIG_INT_CONSTRUCTORS_HPP
8 #define BIG_INT_CONSTRUCTORS_HPP
9 
10 #include "BigInt.hpp"
11 #include "functions/utility.hpp"
12 
13 
19 BigInt::BigInt() {
20  value = "0";
21  sign = '+';
22 }
23 
24 
31 BigInt::BigInt(const BigInt& num) {
32  value = num.value;
33  sign = num.sign;
34 }
35 
36 
44 BigInt::BigInt(const long long& num) {
45  value = std::to_string(num);
46  if (num < 0) {
47  sign = '-';
48  value = value.substr(1); // remove minus sign from value
49  }
50  else
51  sign = '+';
52 }
53 
54 
61 BigInt::BigInt(const std::string& num) {
62  if (num[0] == '+' or num[0] == '-') { // check for sign
63  std::string magnitude = num.substr(1);
64  if (is_valid_number(magnitude)) {
65  value = magnitude;
66  sign = num[0];
67  }
68  else {
69  throw std::invalid_argument("Expected an integer, got \'" + num + "\'");
70  }
71  }
72  else { // if no sign is specified
73  if (is_valid_number(num)) {
74  value = num;
75  sign = '+'; // positive by default
76  }
77  else {
78  throw std::invalid_argument("Expected an integer, got \'" + num + "\'");
79  }
80  }
81  strip_leading_zeroes(value);
82 }
83 
84 #endif // BIG_INT_CONSTRUCTORS_HPP
is_valid_number
bool is_valid_number(const std::string &num)
Checks if std::string value is a valid integer.
Definition: utility.hpp:19
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BigInt
Class that contains an arbitrarily sized integer.
Definition: BigInt.hpp:15
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BigInt::BigInt
BigInt()
Default constructor for BigInt.
Definition: constructors.hpp:19
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utility.hpp
Contains some utility functions.
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BigInt.hpp
Contains class declaration for BigInt.
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strip_leading_zeroes
void strip_leading_zeroes(std::string &num)
Removes leading zeroes from an std::string integer.
Definition: utility.hpp:33
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Detailed Description

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Contains conversion related functions of BigInt.

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conversion.hpp
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1 
7 #ifndef BIG_INT_CONVERSION_FUNCTIONS_HPP
8 #define BIG_INT_CONVERSION_FUNCTIONS_HPP
9 
10 
11 
20 std::string BigInt::to_string() const {
21  // prefix with sign if negative
22  return this->sign == '-' ? "-" + this->value : this->value;
23 }
24 
25 
33 int BigInt::to_int() const {
34  return std::stoi(this->to_string());
35 }
36 
37 
45 long BigInt::to_long() const {
46  return std::stol(this->to_string());
47 }
48 
49 
57 long long BigInt::to_long_long() const {
58  return std::stoll(this->to_string());
59 }
60 
61 #endif // BIG_INT_CONVERSION_FUNCTIONS_HPP
BigInt::to_long
long to_long() const
Converts BigInt into long
Definition: conversion.hpp:45
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BigInt::to_long_long
long long to_long_long() const
Converts BigInt into long long
Definition: conversion.hpp:57
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BigInt::to_string
std::string to_string() const
Converts BigInt into an std::string representation.
Definition: conversion.hpp:20
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BigInt::to_int
int to_int() const
Converts BigInt into int
Definition: conversion.hpp:33
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file  arithmetic_assignment.hpp [code]
 Arithmetic-assignment operators.
 
file  assignment.hpp [code]
 Assignment operators of BigInt.
 
file  binary_arithmetic.hpp [code]
 Binary arithmetic operators for BigInt.
 
file  increment_decrement.hpp [code]
 Increment and decrement operators for BigInt.
 
file  io_stream.hpp [code]
 I/O stream operators for BigInt.
 
file  relational.hpp [code]
 Defining the relational operators for BigInt.
 
file  unary_arithmetic.hpp [code]
 Defining the unary arithmetic operators for BigInt.
 
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file  conversion.hpp [code]
 Contains conversion related functions of BigInt.
 
file  math.hpp [code]
 Common math functions that work on BigInt.
 
file  random.hpp [code]
 Random BigInt generating functions.
 
file  utility.hpp [code]
 Contains some utility functions.
 
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file  BigInt.hpp [code]
 Contains class declaration for BigInt.
 
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file  constructors.hpp [code]
 contains constructors of BigInt
 
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- font-weight: normal; - text-decoration: none; -} - -.contents a:visited { - color: #4665A2; -} - -a:hover { - text-decoration: underline; -} - -a.qindex { - font-weight: bold; -} - -a.qindexHL { - font-weight: bold; - background-color: #9CAFD4; - color: #ffffff; - border: 1px double #869DCA; -} - -.contents a.qindexHL:visited { - color: #ffffff; -} - -a.el { - font-weight: bold; -} - -a.elRef { -} - -a.code, a.code:visited, a.line, a.line:visited { - color: #4665A2; -} - -a.codeRef, a.codeRef:visited, a.lineRef, a.lineRef:visited { - color: #4665A2; -} - -/* @end */ - -dl.el { - margin-left: -1cm; -} - -pre.fragment { - border: 1px solid #C4CFE5; - background-color: #FBFCFD; - padding: 4px 6px; - margin: 4px 8px 4px 2px; - overflow: auto; - word-wrap: break-word; - font-size: 9pt; - line-height: 125%; - font-family: monospace, fixed; - font-size: 105%; -} - -div.fragment { - padding: 0px; - margin: 4px 8px 4px 2px; - background-color: #FBFCFD; - border: 1px solid #C4CFE5; -} - -div.line { - font-family: monospace, fixed; - font-size: 13px; - min-height: 13px; - line-height: 1.0; - text-wrap: unrestricted; - white-space: -moz-pre-wrap; /* Moz */ - white-space: -pre-wrap; /* Opera 4-6 */ - white-space: -o-pre-wrap; /* Opera 7 */ - white-space: pre-wrap; /* CSS3 */ - word-wrap: break-word; /* IE 5.5+ */ - text-indent: -53px; - padding-left: 53px; - padding-bottom: 0px; - margin: 0px; - -webkit-transition-property: background-color, box-shadow; - -webkit-transition-duration: 0.5s; - -moz-transition-property: background-color, box-shadow; - -moz-transition-duration: 0.5s; - -ms-transition-property: background-color, box-shadow; - -ms-transition-duration: 0.5s; - -o-transition-property: background-color, box-shadow; - -o-transition-duration: 0.5s; - transition-property: background-color, box-shadow; - transition-duration: 0.5s; -} - -div.line:after { - content:"\000A"; - white-space: pre; -} - -div.line.glow { - background-color: cyan; - box-shadow: 0 0 10px cyan; -} - - -span.lineno { - padding-right: 4px; - text-align: right; - border-right: 2px solid #0F0; - background-color: #E8E8E8; - white-space: pre; -} -span.lineno a { - background-color: #D8D8D8; -} - -span.lineno a:hover { - background-color: #C8C8C8; -} - -.lineno { - -webkit-touch-callout: none; - -webkit-user-select: none; - -khtml-user-select: none; - -moz-user-select: none; - -ms-user-select: none; - user-select: none; -} - -div.ah, span.ah { - background-color: black; - font-weight: bold; - color: #ffffff; - margin-bottom: 3px; - margin-top: 3px; - padding: 0.2em; - border: solid thin #333; - border-radius: 0.5em; - -webkit-border-radius: .5em; - -moz-border-radius: .5em; - box-shadow: 2px 2px 3px #999; - -webkit-box-shadow: 2px 2px 3px #999; - -moz-box-shadow: rgba(0, 0, 0, 0.15) 2px 2px 2px; - background-image: -webkit-gradient(linear, left top, left bottom, from(#eee), to(#000),color-stop(0.3, #444)); - background-image: -moz-linear-gradient(center top, #eee 0%, #444 40%, #000 110%); -} - -div.classindex ul { - list-style: none; - padding-left: 0; -} - -div.classindex span.ai { - display: inline-block; -} - -div.groupHeader { - margin-left: 16px; - margin-top: 12px; - font-weight: bold; -} - -div.groupText { - margin-left: 16px; - font-style: italic; -} - -body { - background-color: white; - color: black; - margin: 0; -} - -div.contents { - margin-top: 10px; - margin-left: 12px; - margin-right: 8px; -} - -td.indexkey { - background-color: #EBEFF6; - font-weight: bold; - border: 1px solid #C4CFE5; - margin: 2px 0px 2px 0; - padding: 2px 10px; - white-space: nowrap; - vertical-align: top; -} - -td.indexvalue { - background-color: #EBEFF6; - border: 1px solid #C4CFE5; - padding: 2px 10px; - margin: 2px 0px; -} - -tr.memlist { - background-color: #EEF1F7; -} - -p.formulaDsp { - text-align: center; -} - -img.formulaDsp { - -} - -img.formulaInl { - vertical-align: middle; -} - -div.center { - text-align: center; - margin-top: 0px; - margin-bottom: 0px; - padding: 0px; -} - -div.center img { - border: 0px; -} - -address.footer { - text-align: right; - padding-right: 12px; -} - -img.footer { - border: 0px; - vertical-align: middle; -} - -/* @group Code Colorization */ - -span.keyword { - color: #008000 -} - -span.keywordtype { - color: #604020 -} - -span.keywordflow { - color: #e08000 -} - -span.comment { - color: #800000 -} - -span.preprocessor { - color: #806020 -} - -span.stringliteral { - color: #002080 -} - -span.charliteral { - color: #008080 -} - -span.vhdldigit { - color: #ff00ff -} - -span.vhdlchar { - color: #000000 -} - -span.vhdlkeyword { - color: #700070 -} - -span.vhdllogic { - color: #ff0000 -} - -blockquote { - background-color: #F7F8FB; - border-left: 2px solid #9CAFD4; - margin: 0 24px 0 4px; - padding: 0 12px 0 16px; -} - -/* @end */ - -/* -.search { - color: #003399; - font-weight: bold; -} - -form.search { - margin-bottom: 0px; - margin-top: 0px; -} - -input.search { - font-size: 75%; - color: #000080; - font-weight: normal; - background-color: #e8eef2; -} -*/ - -td.tiny { - font-size: 75%; -} - -.dirtab { - padding: 4px; 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- color: #4665A2; - font-weight: normal; - margin-left: 9px; -} - -.memnav { - background-color: #EBEFF6; - border: 1px solid #A3B4D7; - text-align: center; - margin: 2px; - margin-right: 15px; - padding: 2px; -} - -.mempage { - width: 100%; -} - -.memitem { - padding: 0; - margin-bottom: 10px; - margin-right: 5px; - -webkit-transition: box-shadow 0.5s linear; - -moz-transition: box-shadow 0.5s linear; - -ms-transition: box-shadow 0.5s linear; - -o-transition: box-shadow 0.5s linear; - transition: box-shadow 0.5s linear; - display: table !important; - width: 100%; -} - -.memitem.glow { - box-shadow: 0 0 15px cyan; -} - -.memname { - font-weight: 400; - margin-left: 6px; -} - -.memname td { - vertical-align: bottom; -} - -.memproto, dl.reflist dt { - border-top: 1px solid #A8B8D9; - border-left: 1px solid #A8B8D9; - border-right: 1px solid #A8B8D9; - padding: 6px 0px 6px 0px; - color: #253555; - font-weight: bold; - text-shadow: 0px 1px 1px rgba(255, 255, 255, 0.9); - background-color: #DFE5F1; 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- -moz-box-shadow: rgba(0, 0, 0, 0.15) 5px 5px 5px; - /* webkit specific markup */ - -webkit-border-bottom-left-radius: 4px; - -webkit-border-bottom-right-radius: 4px; - -webkit-box-shadow: 5px 5px 5px rgba(0, 0, 0, 0.15); -} - -dl.reflist dt { - padding: 5px; -} - -dl.reflist dd { - margin: 0px 0px 10px 0px; - padding: 5px; -} - -.paramkey { - text-align: right; -} - -.paramtype { - white-space: nowrap; -} - -.paramname { - color: #602020; - white-space: nowrap; -} -.paramname em { - font-style: normal; -} -.paramname code { - line-height: 14px; -} - -.params, .retval, .exception, .tparams { - margin-left: 0px; - padding-left: 0px; -} - -.params .paramname, .retval .paramname { - font-weight: bold; - vertical-align: top; -} - -.params .paramtype { - font-style: italic; - vertical-align: top; -} - -.params .paramdir { - font-family: "courier new",courier,monospace; - vertical-align: top; -} - -table.mlabels { - border-spacing: 0px; -} - -td.mlabels-left { - width: 100%; - padding: 0px; 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     constructors.hppConstructors of BigInt
     ▼ functions
     conversion.hppContains conversion related functions of BigInt
     math.hppCommon math functions that work on BigInt
     random.hppRandom BigInt generating functions
     utility.hppContains some utility functions
     ▼ operators
     arithmetic_assignment.hppArithmetic-assignment operators
     assignment.hppAssignment operators of BigInt
     binary_arithmetic.hppBinary arithmetic operators for BigInt
     increment_decrement.hppIncrement and decrement operators for BigInt
     io_stream.hppI/O stream operators for BigInt
     relational.hppDefining the relational operators for BigInt
     unary_arithmetic.hppDefining the unary arithmetic operators for BigInt
     BigInt.hppContains class declaration for BigInt
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    Increment and decrement operators for BigInt.

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    1 
    7 #ifndef BIG_INT_INCREMENT_DECREMENT_OPERATORS_HPP
    8 #define BIG_INT_INCREMENT_DECREMENT_OPERATORS_HPP
    9 
    10 #include "BigInt.hpp"
    11 #include "constructors/constructors.hpp"
    12 #include "operators/assignment.hpp"
    13 #include "operators/arithmetic_assignment.hpp"
    14 #include "operators/binary_arithmetic.hpp"
    15 
    16 
    20 BigInt& BigInt::operator++() {
    21  *this += 1;
    22 
    23  return *this;
    24 }
    25 
    26 
    30 BigInt& BigInt::operator--() {
    31  *this -= 1;
    32 
    33  return *this;
    34 }
    35 
    36 
    40 BigInt BigInt::operator++(int) {
    41  BigInt temp = *this;
    42  *this += 1;
    43 
    44  return temp;
    45 }
    46 
    47 
    51 BigInt BigInt::operator--(int) {
    52  BigInt temp = *this;
    53  *this -= 1;
    54 
    55  return temp;
    56 }
    57 
    58 #endif // BIG_INT_INCREMENT_DECREMENT_OPERATORS_HPP
    assignment.hpp
    Assignment operators of BigInt.
    -
    BigInt::operator--
    BigInt & operator--()
    Pre-decrements the BigInt by 1.
    Definition: increment_decrement.hpp:30
    -
    BigInt
    Class that contains an arbitrarily sized integer.
    Definition: BigInt.hpp:15
    -
    arithmetic_assignment.hpp
    Arithmetic-assignment operators.
    -
    constructors.hpp
    contains constructors of BigInt
    -
    binary_arithmetic.hpp
    Binary arithmetic operators for BigInt.
    -
    BigInt.hpp
    Contains class declaration for BigInt.
    -
    BigInt::operator++
    BigInt & operator++()
    Pre-increments the BigInt by 1.
    Definition: increment_decrement.hpp:20
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    -std::istream & operator>> (std::istream &in, BigInt &num)
     Get BigInt from the input stream.
     
    -std::ostream & operator<< (std::ostream &out, const BigInt &num)
     Put BigInt into the output stream.
     
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    7 #ifndef BIG_INT_IO_STREAM_OPERATORS_HPP
    8 #define BIG_INT_IO_STREAM_OPERATORS_HPP
    9 
    10 #include "BigInt.hpp"
    11 #include "constructors/constructors.hpp"
    12 #include "operators/assignment.hpp"
    13 
    14 
    18 std::istream& operator>>(std::istream& in, BigInt& num) {
    19  std::string input;
    20  in >> input;
    21  num = BigInt(input); // remove sign from value and set sign, if exists
    22 
    23  return in;
    24 }
    25 
    26 
    30 std::ostream& operator<<(std::ostream& out, const BigInt& num) {
    31  if (num.sign == '-')
    32  out << num.sign;
    33  out << num.value;
    34 
    35  return out;
    36 }
    37 
    38 #endif // BIG_INT_IO_STREAM_OPERATORS_HPP
    assignment.hpp
    Assignment operators of BigInt.
    -
    BigInt
    Class that contains an arbitrarily sized integer.
    Definition: BigInt.hpp:15
    -
    constructors.hpp
    contains constructors of BigInt
    -
    operator<<
    std::ostream & operator<<(std::ostream &out, const BigInt &num)
    Put BigInt into the output stream.
    Definition: io_stream.hpp:30
    -
    BigInt.hpp
    Contains class declaration for BigInt.
    -
    operator>>
    std::istream & operator>>(std::istream &in, BigInt &num)
    Get BigInt from the input stream.
    Definition: io_stream.hpp:18
    -
    - -
    -Generated by   -doxygen - 1.8.14 -
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0},disableSelection:function(){return this.bind((a.support.selectstart?"selectstart":"mousedown")+".ui-disableSelection",function(e){e.preventDefault()})},enableSelection:function(){return this.unbind(".ui-disableSelection")}});a.each(["Width","Height"],function(g,e){var f=e==="Width"?["Left","Right"]:["Top","Bottom"],h=e.toLowerCase(),k={innerWidth:a.fn.innerWidth,innerHeight:a.fn.innerHeight,outerWidth:a.fn.outerWidth,outerHeight:a.fn.outerHeight};function j(m,l,i,n){a.each(f,function(){l-=parseFloat(a.curCSS(m,"padding"+this,true))||0;if(i){l-=parseFloat(a.curCSS(m,"border"+this+"Width",true))||0}if(n){l-=parseFloat(a.curCSS(m,"margin"+this,true))||0}});return l}a.fn["inner"+e]=function(i){if(i===d){return k["inner"+e].call(this)}return this.each(function(){a(this).css(h,j(this,i)+"px")})};a.fn["outer"+e]=function(i,l){if(typeof i!=="number"){return k["outer"+e].call(this,i)}return this.each(function(){a(this).css(h,j(this,i,true,l)+"px")})}});function c(g,e){var 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h=a.ui[f].prototype;for(var e in j){h.plugins[e]=h.plugins[e]||[];h.plugins[e].push([g,j[e]])}},call:function(e,g,f){var j=e.plugins[g];if(!j||!e.element[0].parentNode){return}for(var h=0;h0){return true}h[e]=1;g=(h[e]>0);h[e]=0;return g},isOverAxis:function(f,e,g){return(f>e)&&(f<(e+g))},isOver:function(j,f,i,h,e,g){return a.ui.isOverAxis(j,i,e)&&a.ui.isOverAxis(f,h,g)}})})(jQuery);/*! - * jQuery UI Widget 1.8.18 - * - * Copyright 2011, AUTHORS.txt (http://jqueryui.com/about) - * Dual licensed under the MIT or GPL Version 2 licenses. - * http://jquery.org/license - * - * http://docs.jquery.com/UI/Widget - */ -(function(b,d){if(b.cleanData){var c=b.cleanData;b.cleanData=function(f){for(var g=0,h;(h=f[g])!=null;g++){try{b(h).triggerHandler("remove")}catch(j){}}c(f)}}else{var a=b.fn.remove;b.fn.remove=function(e,f){return this.each(function(){if(!f){if(!e||b.filter(e,[this]).length){b("*",this).add([this]).each(function(){try{b(this).triggerHandler("remove")}catch(g){}})}}return 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http://jquery.org/license - * - * http://docs.jquery.com/UI/Mouse - * - * Depends: - * jquery.ui.widget.js - */ -(function(b,c){var a=false;b(document).mouseup(function(d){a=false});b.widget("ui.mouse",{options:{cancel:":input,option",distance:1,delay:0},_mouseInit:function(){var d=this;this.element.bind("mousedown."+this.widgetName,function(e){return d._mouseDown(e)}).bind("click."+this.widgetName,function(e){if(true===b.data(e.target,d.widgetName+".preventClickEvent")){b.removeData(e.target,d.widgetName+".preventClickEvent");e.stopImmediatePropagation();return false}});this.started=false},_mouseDestroy:function(){this.element.unbind("."+this.widgetName)},_mouseDown:function(f){if(a){return}(this._mouseStarted&&this._mouseUp(f));this._mouseDownEvent=f;var e=this,g=(f.which==1),d=(typeof this.options.cancel=="string"&&f.target.nodeName?b(f.target).closest(this.options.cancel).length:false);if(!g||d||!this._mouseCapture(f)){return true}this.mouseDelayMet=!this.options.delay;if(!this.mouseDelayMet){this._mouseDelayTimer=setTimeout(function(){e.mouseDelayMet=true},this.options.delay)}if(this._mouseDistanceMet(f)&&this._mouseDelayMet(f)){this._mouseStarted=(this._mouseStart(f)!==false);if(!this._mouseStarted){f.preventDefault();return true}}if(true===b.data(f.target,this.widgetName+".preventClickEvent")){b.removeData(f.target,this.widgetName+".preventClickEvent")}this._mouseMoveDelegate=function(h){return e._mouseMove(h)};this._mouseUpDelegate=function(h){return e._mouseUp(h)};b(document).bind("mousemove."+this.widgetName,this._mouseMoveDelegate).bind("mouseup."+this.widgetName,this._mouseUpDelegate);f.preventDefault();a=true;return true},_mouseMove:function(d){if(b.browser.msie&&!(document.documentMode>=9)&&!d.button){return this._mouseUp(d)}if(this._mouseStarted){this._mouseDrag(d);return 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true}})})(jQuery);(function(c,d){c.widget("ui.resizable",c.ui.mouse,{widgetEventPrefix:"resize",options:{alsoResize:false,animate:false,animateDuration:"slow",animateEasing:"swing",aspectRatio:false,autoHide:false,containment:false,ghost:false,grid:false,handles:"e,s,se",helper:false,maxHeight:null,maxWidth:null,minHeight:10,minWidth:10,zIndex:1000},_create:function(){var f=this,k=this.options;this.element.addClass("ui-resizable");c.extend(this,{_aspectRatio:!!(k.aspectRatio),aspectRatio:k.aspectRatio,originalElement:this.element,_proportionallyResizeElements:[],_helper:k.helper||k.ghost||k.animate?k.helper||"ui-resizable-helper":null});if(this.element[0].nodeName.match(/canvas|textarea|input|select|button|img/i)){this.element.wrap(c('
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i=this.className.match(/ui-resizable-(se|sw|ne|nw|n|e|s|w)/i)}f.axis=i&&i[1]?i[1]:"se"}});if(k.autoHide){this._handles.hide();c(this.element).addClass("ui-resizable-autohide").hover(function(){if(k.disabled){return}c(this).removeClass("ui-resizable-autohide");f._handles.show()},function(){if(k.disabled){return}if(!f.resizing){c(this).addClass("ui-resizable-autohide");f._handles.hide()}})}this._mouseInit()},destroy:function(){this._mouseDestroy();var e=function(g){c(g).removeClass("ui-resizable ui-resizable-disabled ui-resizable-resizing").removeData("resizable").unbind(".resizable").find(".ui-resizable-handle").remove()};if(this.elementIsWrapper){e(this.element);var f=this.element;f.after(this.originalElement.css({position:f.css("position"),width:f.outerWidth(),height:f.outerHeight(),top:f.css("top"),left:f.css("left")})).remove()}this.originalElement.css("resize",this.originalResizeStyle);e(this.originalElement);return this},_mouseCapture:function(f){var g=false;for(var e in this.handles){if(c(this.handles[e])[0]==f.target){g=true}}return !this.options.disabled&&g},_mouseStart:function(g){var j=this.options,f=this.element.position(),e=this.element;this.resizing=true;this.documentScroll={top:c(document).scrollTop(),left:c(document).scrollLeft()};if(e.is(".ui-draggable")||(/absolute/).test(e.css("position"))){e.css({position:"absolute",top:f.top,left:f.left})}this._renderProxy();var k=b(this.helper.css("left")),h=b(this.helper.css("top"));if(j.containment){k+=c(j.containment).scrollLeft()||0;h+=c(j.containment).scrollTop()||0}this.offset=this.helper.offset();this.position={left:k,top:h};this.size=this._helper?{width:e.outerWidth(),height:e.outerHeight()}:{width:e.width(),height:e.height()};this.originalSize=this._helper?{width:e.outerWidth(),height:e.outerHeight()}:{width:e.width(),height:e.height()};this.originalPosition={left:k,top:h};this.sizeDiff={width:e.outerWidth()-e.width(),height:e.outerHeight()-e.height()};this.originalMousePosition={left:g.pageX,top:g.pageY};this.aspectRatio=(typeof j.aspectRatio=="number")?j.aspectRatio:((this.originalSize.width/this.originalSize.height)||1);var i=c(".ui-resizable-"+this.axis).css("cursor");c("body").css("cursor",i=="auto"?this.axis+"-resize":i);e.addClass("ui-resizable-resizing");this._propagate("start",g);return true},_mouseDrag:function(e){var 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    -
    -Functions
    -
    -
    math.hpp File Reference
    -
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    - -

    Common math functions that work on BigInt. -More...

    -
    #include <string>
    -#include "functions/conversion.hpp"
    -
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    Go to the source code of this file.

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    -Functions

    BigInt abs (const BigInt &num)
     Returns absolute value of the integer. More...
     
    BigInt big_pow10 (size_t exp)
     Returns BigInt with value of \(10^{\text{exp}}\). More...
     
    BigInt pow (const BigInt &base, int exp)
     Performs exponentiation of BigInt with an int value. More...
     
    BigInt pow (const long long &base, int exp)
     Performs exponentiation of long long with an int value. More...
     
    BigInt pow (const std::string &base, int exp)
     Performs exponentiation of std::string with an int value. More...
     
    BigInt sqrt (const BigInt &num)
     Computes square root of BigInt value. More...
     
    BigInt gcd (const BigInt &num1, const BigInt &num2)
     Computes greatest common divisor (GCD) of two BigInt values. More...
     
    BigInt gcd (const BigInt &num1, const long long &num2)
     Computes greatest common divisor (GCD) of a BigInt and a long long More...
     
    BigInt gcd (const BigInt &num1, const std::string &num2)
     Computes greatest common divisor (GCD) of a BigInt and a std::string More...
     
    BigInt gcd (const long long &num1, const BigInt &num2)
     Computes greatest common divisor (GCD) of a long long and a BigInt. More...
     
    BigInt gcd (const std::string &num1, const BigInt &num2)
     Computes greatest common divisor (GCD) of a std::string and a BigInt. More...
     
    BigInt lcm (const BigInt &num1, const BigInt &num2)
     Computes least common multiple (LCM) of two BigInt values. More...
     
    BigInt lcm (const BigInt &num1, const long long &num2)
     Computes least common multiple (LCM) of a BigInt and a long long value. More...
     
    BigInt lcm (const BigInt &num1, const std::string &num2)
     Computes least common multiple (LCM) of a BigInt and a std::string value. More...
     
    BigInt lcm (const long long &num1, const BigInt &num2)
     Computes least common multiple (LCM) of a long long and a BigInt value. More...
     
    BigInt lcm (const std::string &num1, const BigInt &num2)
     Computes least common multiple (LCM) of a std::string and a BigInt value. More...
     
    -

    Detailed Description

    -

    Common math functions that work on BigInt.

    -

    Function Documentation

    - -

    ◆ abs()

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    BigInt abs (const BigInt & num)
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    Returns absolute value of the integer.

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    Parameters
    - - -
    numa BigInt variable
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    Returns
    BigInt that contains the absolute value of num
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    ◆ big_pow10()

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    BigInt big_pow10 (size_t exp)
    -
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    Returns BigInt with value of \(10^{\text{exp}}\).

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    Parameters
    - - -
    expa size_t variable, number to raise 10 to
    -
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    Returns
    BigInt with value \(10^{\text{exp}}\)
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    Warning
    exp must be a whole number.
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    - -

    ◆ gcd() [1/5]

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    BigInt gcd (const BigInt & num1,
    const BigInt & num2 
    )
    -
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    Computes greatest common divisor (GCD) of two BigInt values.

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    The GCD is calculated using Euclid's algorithm.

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    Parameters
    - - - -
    num1the first BigInt GCD parameter
    num2the second BigInt GCD parameter
    -
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    Returns
    BigInt contains value of GCD(num1, num2)
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    ◆ gcd() [2/5]

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    BigInt gcd (const BigInt & num1,
    const long long & num2 
    )
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    Computes greatest common divisor (GCD) of a BigInt and a long long

    -

    Uses gcd(const BigInt &, const BigInt &)

    -
    Parameters
    - - - -
    num1the first BigInt GCD parameter
    num2the second long long GCD parameter
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    Returns
    BigInt contains value of GCD(num1, num2)
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    ◆ gcd() [3/5]

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    BigInt gcd (const BigInt & num1,
    const std::string & num2 
    )
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    - -

    Computes greatest common divisor (GCD) of a BigInt and a std::string

    -

    Uses gcd(const BigInt &, const BigInt &)

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    Parameters
    - - - -
    num1the first BigInt GCD parameter
    num2the second std::string GCD parameter
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    Returns
    BigInt contains value of GCD(num1, num2)
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    ◆ gcd() [4/5]

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    BigInt gcd (const long long & num1,
    const BigInt & num2 
    )
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    Computes greatest common divisor (GCD) of a long long and a BigInt.

    -

    Uses gcd(const BigInt &, const BigInt &)

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    Parameters
    - - - -
    num1the first long long GCD parameter
    num2the second BigInt GCD parameter
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    Returns
    BigInt contains value of GCD(num1, num2)
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    ◆ gcd() [5/5]

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    BigInt gcd (const std::string & num1,
    const BigInt & num2 
    )
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    - -

    Computes greatest common divisor (GCD) of a std::string and a BigInt.

    -

    Uses gcd(const BigInt &, const BigInt &)

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    Parameters
    - - - -
    num1the first std::string GCD parameter
    num2the second BigInt GCD parameter
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    -
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    Returns
    BigInt contains value of GCD(num1, num2)
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    ◆ lcm() [1/5]

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    BigInt lcm (const BigInt & num1,
    const BigInt & num2 
    )
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    Computes least common multiple (LCM) of two BigInt values.

    -

    Uses gcd(const BigInt &, const BigInt &) in the formula \(\frac{a * b}{GCD(a, b)}\)

    -
    Parameters
    - - - -
    num1the first BigInt LCM parameter
    num2the second BigInt LCM parameter
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    -
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    Returns
    BigInt contains value of LCM(num1, num2)
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    ◆ lcm() [2/5]

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    BigInt lcm (const BigInt & num1,
    const long long & num2 
    )
    -
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    Computes least common multiple (LCM) of a BigInt and a long long value.

    -

    Uses lcm(const BigInt &, const BigInt &)

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    Parameters
    - - - -
    num1the first BigInt LCM parameter
    num2the second long long LCM parameter
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    -
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    Returns
    BigInt contains value of LCM(num1, num2)
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    ◆ lcm() [3/5]

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    BigInt lcm (const BigInt & num1,
    const std::string & num2 
    )
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    Computes least common multiple (LCM) of a BigInt and a std::string value.

    -

    Uses lcm(const BigInt &, const BigInt &)

    -
    Parameters
    - - - -
    num1the first BigInt LCM parameter
    num2the second std::string LCM parameter
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    Returns
    BigInt contains value of LCM(num1, num2)
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    ◆ lcm() [4/5]

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    BigInt lcm (const long long & num1,
    const BigInt & num2 
    )
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    - -

    Computes least common multiple (LCM) of a long long and a BigInt value.

    -

    Uses lcm(const BigInt &, const BigInt &)

    -
    Parameters
    - - - -
    num1the first long long LCM parameter
    num2the second BigInt LCM parameter
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    Returns
    BigInt contains value of LCM(num1, num2)
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    ◆ lcm() [5/5]

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    BigInt lcm (const std::string & num1,
    const BigInt & num2 
    )
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    Computes least common multiple (LCM) of a std::string and a BigInt value.

    -

    Uses lcm(const BigInt &, const BigInt &)

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    Parameters
    - - - -
    num1the first std::string LCM parameter
    num2the second BigInt LCM parameter
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    Returns
    BigInt contains value of LCM(num1, num2)
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    ◆ pow() [1/3]

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    1 
    7 #ifndef BIG_INT_MATH_FUNCTIONS_HPP
    8 #define BIG_INT_MATH_FUNCTIONS_HPP
    9 
    10 #include <string>
    11 
    12 #include "functions/conversion.hpp"
    13 
    14 
    21 BigInt abs(const BigInt& num) {
    22  return num < 0 ? -num : num;
    23 }
    24 
    25 
    34 BigInt big_pow10(size_t exp) {
    35  return BigInt("1" + std::string(exp, '0'));
    36 }
    37 
    38 
    52 BigInt pow(const BigInt& base, int exp) {
    53  if (exp < 0) {
    54  if (base == 0)
    55  throw std::logic_error("Cannot divide by zero");
    56  return abs(base) == 1 ? base : 0;
    57  }
    58  if (exp == 0) {
    59  if (base == 0)
    60  throw std::logic_error("Zero cannot be raised to zero");
    61  return 1;
    62  }
    63 
    64  BigInt result = base, result_odd = 1;
    65  while (exp > 1) {
    66  if (exp % 2)
    67  result_odd *= result;
    68  result *= result;
    69  exp /= 2;
    70  }
    71 
    72  return result * result_odd;
    73 }
    74 
    75 
    86 BigInt pow(const long long& base, int exp) {
    87  return pow(BigInt(base), exp);
    88 }
    89 
    90 
    101 BigInt pow(const std::string& base, int exp) {
    102  return pow(BigInt(base), exp);
    103 
    104 }
    105 
    106 
    107 /*
    108  sqrt
    109  ----
    110  Returns the positive integer square root of a BigInt using Newton's method.
    111  NOTE: the input must be non-negative.
    112 */
    113 
    123 BigInt sqrt(const BigInt& num) {
    124  if (num < 0)
    125  throw std::invalid_argument("Cannot compute square root of a negative integer");
    126 
    127  // Optimisations for small inputs:
    128  if (num == 0)
    129  return 0;
    130  else if (num < 4)
    131  return 1;
    132  else if (num < 9)
    133  return 2;
    134  else if (num < 16)
    135  return 3;
    136 
    137  BigInt sqrt_prev = 0;
    138  // The value for `sqrt_current` is chosen close to that of the actual
    139  // square root.
    140  // Since a number's square root has at least one less than half as many
    141  // digits as the number,
    142  // sqrt_current = 10^(half_the_digits_in_num - 1)
    143  BigInt sqrt_current = big_pow10(num.to_string().size() / 2 - 1);
    144 
    145  while (abs(sqrt_current - sqrt_prev) > 1) {
    146  sqrt_prev = sqrt_current;
    147  sqrt_current = (num / sqrt_prev + sqrt_prev) / 2;
    148  }
    149 
    150  return sqrt_current;
    151 }
    152 
    153 
    163 BigInt gcd(const BigInt &num1, const BigInt &num2){
    164  BigInt abs_num1 = abs(num1);
    165  BigInt abs_num2 = abs(num2);
    166 
    167  // base cases:
    168  if (abs_num2 == 0)
    169  return abs_num1; // gcd(a, 0) = |a|
    170  if (abs_num1 == 0)
    171  return abs_num2; // gcd(0, a) = |a|
    172 
    173  BigInt remainder = abs_num2;
    174  while (remainder != 0) {
    175  remainder = abs_num1 % abs_num2;
    176  abs_num1 = abs_num2; // previous remainder
    177  abs_num2 = remainder; // current remainder
    178  }
    179 
    180  return abs_num1;
    181 }
    182 
    183 
    194 BigInt gcd(const BigInt& num1, const long long& num2){
    195  return gcd(num1, BigInt(num2));
    196 }
    197 
    198 
    209 BigInt gcd(const BigInt& num1, const std::string& num2){
    210  return gcd(num1, BigInt(num2));
    211 }
    212 
    213 
    224 BigInt gcd(const long long& num1, const BigInt& num2){
    225  return gcd(BigInt(num1), num2);
    226 }
    227 
    228 
    239 BigInt gcd(const std::string& num1, const BigInt& num2){
    240  return gcd(BigInt(num1), num2);
    241 }
    242 
    243 
    252 BigInt lcm(const BigInt& num1, const BigInt& num2) {
    253  if (num1 == 0 or num2 == 0)
    254  return 0;
    255 
    256  return abs(num1 * num2) / gcd(num1, num2);
    257 }
    258 
    259 
    269 BigInt lcm(const BigInt& num1, const long long& num2){
    270  return lcm(num1, BigInt(num2));
    271 }
    272 
    273 
    283 BigInt lcm(const BigInt& num1, const std::string& num2){
    284  return lcm(num1, BigInt(num2));
    285 }
    286 
    287 
    297 BigInt lcm(const long long& num1, const BigInt& num2){
    298  return lcm(BigInt(num1), num2);
    299 }
    300 
    301 
    311 BigInt lcm(const std::string& num1, const BigInt& num2){
    312  return lcm(BigInt(num1), num2);
    313 }
    314 
    315 
    316 #endif // BIG_INT_MATH_FUNCTIONS_HPP
    sqrt
    BigInt sqrt(const BigInt &num)
    Computes square root of BigInt value.
    Definition: math.hpp:123
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    Class that contains an arbitrarily sized integer.
    Definition: BigInt.hpp:15
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    lcm
    BigInt lcm(const BigInt &num1, const BigInt &num2)
    Computes least common multiple (LCM) of two BigInt values.
    Definition: math.hpp:252
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    std::string to_string() const
    Converts BigInt into an std::string representation.
    Definition: conversion.hpp:20
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    BigInt big_pow10(size_t exp)
    Returns BigInt with value of .
    Definition: math.hpp:34
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    BigInt gcd(const BigInt &num1, const BigInt &num2)
    Computes greatest common divisor (GCD) of two BigInt values.
    Definition: math.hpp:163
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    BigInt pow(const BigInt &base, int exp)
    Performs exponentiation of BigInt with an int value.
    Definition: math.hpp:52
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    BigInt abs(const BigInt &num)
    Returns absolute value of the integer.
    Definition: math.hpp:21
    -
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    Contains conversion related functions of BigInt.
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    1 
    7 #ifndef BIG_INT_RANDOM_FUNCTIONS_HPP
    8 #define BIG_INT_RANDOM_FUNCTIONS_HPP
    9 
    10 #include <random>
    11 #include <climits>
    12 
    13 #include "BigInt.hpp"
    14 
    18 const size_t MAX_RANDOM_LENGTH = 1000;
    19 
    20 
    35 BigInt big_random(size_t num_digits = 0) {
    36  std::random_device rand_generator; // true random number generator
    37 
    38  if (num_digits == 0) // the number of digits were not specified
    39  // use a random number for it:
    40  num_digits = 1 + rand_generator() % MAX_RANDOM_LENGTH;
    41 
    42  BigInt big_rand;
    43  big_rand.value = ""; // clear value to append digits
    44  while (big_rand.value.size() < num_digits)
    45  big_rand.value += std::to_string(rand_generator());
    46  if (big_rand.value.size() != num_digits)
    47  big_rand.value.erase(num_digits); // erase extra digits
    48 
    49  return big_rand;
    50 }
    51 
    52 
    53 #endif // BIG_INT_RANDOM_FUNCTIONS_HPP
    MAX_RANDOM_LENGTH
    const size_t MAX_RANDOM_LENGTH
    Definition: random.hpp:18
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    Class that contains an arbitrarily sized integer.
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    7 #ifndef BIG_INT_RELATIONAL_OPERATORS_HPP
    8 #define BIG_INT_RELATIONAL_OPERATORS_HPP
    9 
    10 #include "BigInt.hpp"
    11 #include "operators/unary_arithmetic.hpp"
    12 
    13 
    14 /*
    15  BigInt == BigInt
    16  ----------------
    17 */
    18 
    22 bool BigInt::operator==(const BigInt& num) const {
    23  return (sign == num.sign) and (value == num.value);
    24 }
    25 
    26 
    30 bool BigInt::operator!=(const BigInt& num) const {
    31  return !(*this == num);
    32 }
    33 
    34 
    38 bool BigInt::operator<(const BigInt& num) const {
    39  if (sign == num.sign) {
    40  if (sign == '+') {
    41  if (value.length() == num.value.length())
    42  return value < num.value;
    43  else
    44  return value.length() < num.value.length();
    45  }
    46  else
    47  return -(*this) > -num;
    48  }
    49  else
    50  return sign == '-';
    51 }
    52 
    53 
    57 bool BigInt::operator>(const BigInt& num) const {
    58  return !((*this < num) or (*this == num));
    59 }
    60 
    61 
    65 bool BigInt::operator<=(const BigInt& num) const {
    66  return (*this < num) or (*this == num);
    67 }
    68 
    69 
    73 bool BigInt::operator>=(const BigInt& num) const {
    74  return !(*this < num);
    75 }
    76 
    77 
    81 bool BigInt::operator==(const long long& num) const {
    82  return *this == BigInt(num);
    83 }
    84 
    85 
    89 bool operator==(const long long& lhs, const BigInt& rhs) {
    90  return BigInt(lhs) == rhs;
    91 }
    92 
    93 
    97 bool BigInt::operator!=(const long long& num) const {
    98  return !(*this == BigInt(num));
    99 }
    100 
    101 
    105 bool operator!=(const long long& lhs, const BigInt& rhs) {
    106  return BigInt(lhs) != rhs;
    107 }
    108 
    109 
    113 bool BigInt::operator<(const long long& num) const {
    114  return *this < BigInt(num);
    115 }
    116 
    117 
    121 bool operator<(const long long& lhs, const BigInt& rhs) {
    122  return BigInt(lhs) < rhs;
    123 }
    124 
    125 
    129 bool BigInt::operator>(const long long& num) const {
    130  return *this > BigInt(num);
    131 }
    132 
    133 
    137 bool operator>(const long long& lhs, const BigInt& rhs) {
    138  return BigInt(lhs) > rhs;
    139 }
    140 
    141 
    145 bool BigInt::operator<=(const long long& num) const {
    146  return !(*this > BigInt(num));
    147 }
    148 
    149 
    153 bool operator<=(const long long& lhs, const BigInt& rhs) {
    154  return BigInt(lhs) <= rhs;
    155 }
    156 
    157 
    161 bool BigInt::operator>=(const long long& num) const {
    162  return !(*this < BigInt(num));
    163 }
    164 
    165 
    169 bool operator>=(const long long& lhs, const BigInt& rhs) {
    170  return BigInt(lhs) >= rhs;
    171 }
    172 
    173 
    177 bool BigInt::operator==(const std::string& num) const {
    178  return *this == BigInt(num);
    179 }
    180 
    181 
    185 bool operator==(const std::string& lhs, const BigInt& rhs) {
    186  return BigInt(lhs) == rhs;
    187 }
    188 
    189 
    193 bool BigInt::operator!=(const std::string& num) const {
    194  return !(*this == BigInt(num));
    195 }
    196 
    197 
    201 bool operator!=(const std::string& lhs, const BigInt& rhs) {
    202  return BigInt(lhs) != rhs;
    203 }
    204 
    205 
    209 bool BigInt::operator<(const std::string& num) const {
    210  return *this < BigInt(num);
    211 }
    212 
    213 
    217 bool operator<(const std::string& lhs, const BigInt& rhs) {
    218  return BigInt(lhs) < rhs;
    219 }
    220 
    221 
    225 bool BigInt::operator>(const std::string& num) const {
    226  return *this > BigInt(num);
    227 }
    228 
    229 
    233 bool operator>(const std::string& lhs, const BigInt& rhs) {
    234  return BigInt(lhs) > rhs;
    235 }
    236 
    237 
    241 bool BigInt::operator<=(const std::string& num) const {
    242  return !(*this > BigInt(num));
    243 }
    244 
    245 
    249 bool operator<=(const std::string& lhs, const BigInt& rhs) {
    250  return BigInt(lhs) <= rhs;
    251 }
    252 
    253 
    257 bool BigInt::operator>=(const std::string& num) const {
    258  return !(*this < BigInt(num));
    259 }
    260 
    261 
    265 bool operator>=(const std::string& lhs, const BigInt& rhs) {
    266  return BigInt(lhs) >= rhs;
    267 }
    268 
    269 #endif // BIG_INT_RELATIONAL_OPERATORS_HPP
    BigInt::operator>=
    bool operator>=(const BigInt &) const
    Greater than equal to operator for two BigInt values.
    Definition: relational.hpp:73
    -
    BigInt::operator!=
    bool operator!=(const BigInt &) const
    Not Equal To operator for two BigInt values.
    Definition: relational.hpp:30
    -
    operator!=
    bool operator!=(const long long &lhs, const BigInt &rhs)
    Not Equal To operator for long long vs BigInt.
    Definition: relational.hpp:105
    -
    BigInt
    Class that contains an arbitrarily sized integer.
    Definition: BigInt.hpp:15
    -
    BigInt::BigInt
    BigInt()
    Default constructor for BigInt.
    Definition: constructors.hpp:19
    -
    BigInt::operator<
    bool operator<(const BigInt &) const
    Less than operator for two BigInt values.
    Definition: relational.hpp:38
    -
    operator<=
    bool operator<=(const long long &lhs, const BigInt &rhs)
    Less Than Equal To operator for long long vs BigInt.
    Definition: relational.hpp:153
    -
    operator>=
    bool operator>=(const long long &lhs, const BigInt &rhs)
    Greater Than Equal To operator for long long vs BigInt.
    Definition: relational.hpp:169
    -
    unary_arithmetic.hpp
    Defining the unary arithmetic operators for BigInt.
    -
    BigInt::operator>
    bool operator>(const BigInt &) const
    Greater than operator for two BigInt values.
    Definition: relational.hpp:57
    -
    operator>
    bool operator>(const long long &lhs, const BigInt &rhs)
    Greater Than operator for long long vs BigInt.
    Definition: relational.hpp:137
    -
    BigInt::operator<=
    bool operator<=(const BigInt &) const
    Less than equal to operator for two BigInt values.
    Definition: relational.hpp:65
    -
    BigInt::operator==
    bool operator==(const BigInt &) const
    Equal To operator for two BigInt values.
    Definition: relational.hpp:22
    -
    BigInt.hpp
    Contains class declaration for BigInt.
    -
    operator<
    bool operator<(const long long &lhs, const BigInt &rhs)
    Less Than operator for long long vs BigInt.
    Definition: relational.hpp:121
    -
    operator==
    bool operator==(const long long &lhs, const BigInt &rhs)
    Equal To operator for long long vs BigInt.
    Definition: relational.hpp:89
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    - - diff --git a/docs/html/search/related_0.js b/docs/html/search/related_0.js deleted file mode 100644 index e314e80..0000000 --- a/docs/html/search/related_0.js +++ /dev/null @@ -1,4 +0,0 @@ -var searchData= -[ - ['big_5frandom',['big_random',['../class_big_int.html#a33415625f48e4cfa2d63250ad5ff2439',1,'BigInt']]] -]; diff --git a/docs/html/search/related_1.html b/docs/html/search/related_1.html deleted file mode 100644 index 7149672..0000000 --- a/docs/html/search/related_1.html +++ /dev/null @@ -1,30 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/docs/html/search/related_1.js b/docs/html/search/related_1.js deleted file mode 100644 index b3dad93..0000000 --- a/docs/html/search/related_1.js +++ /dev/null @@ -1,5 +0,0 @@ -var searchData= -[ - ['operator_3c_3c',['operator<<',['../class_big_int.html#a61858213524e69594b97acc0884974c9',1,'BigInt']]], - ['operator_3e_3e',['operator>>',['../class_big_int.html#a2b2caad36116d3ebf27c9ea6e450e560',1,'BigInt']]] -]; diff --git a/docs/html/search/search.css b/docs/html/search/search.css deleted file mode 100644 index 3cf9df9..0000000 --- a/docs/html/search/search.css +++ /dev/null @@ -1,271 +0,0 @@ -/*---------------- Search Box */ - -#FSearchBox { - float: left; -} - -#MSearchBox { - white-space : nowrap; - float: none; - margin-top: 8px; - right: 0px; - width: 170px; - height: 24px; - z-index: 102; -} - -#MSearchBox .left -{ - display:block; - position:absolute; - left:10px; - width:20px; - height:19px; - background:url('search_l.png') no-repeat; - background-position:right; -} - -#MSearchSelect { - display:block; - position:absolute; - width:20px; - height:19px; -} - -.left #MSearchSelect { - left:4px; -} - -.right #MSearchSelect { - right:5px; -} - -#MSearchField { - display:block; - position:absolute; - height:19px; - background:url('search_m.png') repeat-x; - border:none; - width:115px; - margin-left:20px; - padding-left:4px; - color: #909090; - outline: none; - font: 9pt Arial, Verdana, sans-serif; - -webkit-border-radius: 0px; -} - -#FSearchBox #MSearchField { - margin-left:15px; -} - -#MSearchBox .right { - display:block; - position:absolute; - right:10px; - top:8px; - width:20px; - height:19px; - background:url('search_r.png') no-repeat; - background-position:left; -} - -#MSearchClose { - display: none; - position: absolute; - top: 4px; - background : none; - border: none; - margin: 0px 4px 0px 0px; - padding: 0px 0px; - outline: none; -} - -.left #MSearchClose { - left: 6px; -} - -.right #MSearchClose { - right: 2px; -} - -.MSearchBoxActive #MSearchField { - color: #000000; -} - -/*---------------- Search filter selection */ - -#MSearchSelectWindow { - display: none; - position: absolute; - left: 0; top: 0; - border: 1px solid #90A5CE; - background-color: #F9FAFC; - z-index: 10001; - padding-top: 4px; - padding-bottom: 4px; - -moz-border-radius: 4px; - -webkit-border-top-left-radius: 4px; - -webkit-border-top-right-radius: 4px; - -webkit-border-bottom-left-radius: 4px; - -webkit-border-bottom-right-radius: 4px; - -webkit-box-shadow: 5px 5px 5px rgba(0, 0, 0, 0.15); -} - -.SelectItem { - font: 8pt Arial, Verdana, sans-serif; - padding-left: 2px; - padding-right: 12px; - border: 0px; -} - -span.SelectionMark { - margin-right: 4px; - font-family: monospace; - outline-style: none; - text-decoration: none; -} - -a.SelectItem { - display: block; - outline-style: none; - color: #000000; - text-decoration: none; - padding-left: 6px; - padding-right: 12px; -} - -a.SelectItem:focus, -a.SelectItem:active { - color: #000000; - outline-style: none; - text-decoration: none; -} - -a.SelectItem:hover { - color: #FFFFFF; - background-color: #3D578C; - outline-style: none; - text-decoration: none; - cursor: pointer; - display: block; -} - -/*---------------- Search results window */ - -iframe#MSearchResults { - width: 60ex; - height: 15em; -} - -#MSearchResultsWindow { - display: none; - position: absolute; - left: 0; top: 0; - border: 1px solid #000; - background-color: #EEF1F7; - z-index:10000; -} - -/* ----------------------------------- */ - - -#SRIndex { - clear:both; - padding-bottom: 15px; -} - -.SREntry { - font-size: 10pt; - padding-left: 1ex; -} - -.SRPage .SREntry { - font-size: 8pt; - padding: 1px 5px; -} - -body.SRPage { - margin: 5px 2px; -} - -.SRChildren { - padding-left: 3ex; padding-bottom: .5em -} - -.SRPage .SRChildren { - display: none; -} - -.SRSymbol { - font-weight: bold; - color: #425E97; - font-family: Arial, Verdana, sans-serif; - text-decoration: none; - outline: none; -} - -a.SRScope { - display: block; - color: #425E97; - font-family: Arial, Verdana, sans-serif; - text-decoration: none; - outline: none; -} - -a.SRSymbol:focus, a.SRSymbol:active, -a.SRScope:focus, a.SRScope:active { - text-decoration: underline; -} - -span.SRScope { - padding-left: 4px; -} - -.SRPage .SRStatus { - padding: 2px 5px; - font-size: 8pt; - font-style: italic; -} - -.SRResult { - display: none; -} - -DIV.searchresults { - margin-left: 10px; - margin-right: 10px; -} - -/*---------------- External search page results */ - -.searchresult { - background-color: #F0F3F8; -} - -.pages b { - color: white; - padding: 5px 5px 3px 5px; - background-image: url("../tab_a.png"); - background-repeat: repeat-x; - text-shadow: 0 1px 1px #000000; -} - -.pages { - line-height: 17px; - margin-left: 4px; - text-decoration: none; -} - -.hl { - font-weight: bold; -} - -#searchresults { - margin-bottom: 20px; -} - -.searchpages { - margin-top: 10px; -} - diff --git a/docs/html/search/search.js b/docs/html/search/search.js deleted file mode 100644 index a554ab9..0000000 --- a/docs/html/search/search.js +++ /dev/null @@ -1,814 +0,0 @@ -/* - @licstart The following is the entire license notice for the - JavaScript code in this file. - - Copyright (C) 1997-2017 by Dimitri van Heesch - - This program is free software; you can redistribute it and/or modify - it under the terms of the GNU General Public License as published by - the Free Software Foundation; either version 2 of the License, or - (at your option) any later version. - - This program is distributed in the hope that it will be useful, - but WITHOUT ANY WARRANTY; without even the implied warranty of - MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the - GNU General Public License for more details. - - You should have received a copy of the GNU General Public License along - with this program; if not, write to the Free Software Foundation, Inc., - 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA. - - @licend The above is the entire license notice - for the JavaScript code in this file - */ -function convertToId(search) -{ - var result = ''; - for (i=0;i do a search - { - this.Search(); - } - } - - this.OnSearchSelectKey = function(evt) - { - var e = (evt) ? evt : window.event; // for IE - if (e.keyCode==40 && this.searchIndex0) // Up - { - this.searchIndex--; - this.OnSelectItem(this.searchIndex); - } - else if (e.keyCode==13 || e.keyCode==27) - { - this.OnSelectItem(this.searchIndex); - this.CloseSelectionWindow(); - this.DOMSearchField().focus(); - } - return false; - } - - // --------- Actions - - // Closes the results window. - this.CloseResultsWindow = function() - { - this.DOMPopupSearchResultsWindow().style.display = 'none'; - this.DOMSearchClose().style.display = 'none'; - this.Activate(false); - } - - this.CloseSelectionWindow = function() - { - this.DOMSearchSelectWindow().style.display = 'none'; - } - - // Performs a search. - this.Search = function() - { - this.keyTimeout = 0; - - // strip leading whitespace - var searchValue = this.DOMSearchField().value.replace(/^ +/, ""); - - var code = searchValue.toLowerCase().charCodeAt(0); - var idxChar = searchValue.substr(0, 1).toLowerCase(); - if ( 0xD800 <= code && code <= 0xDBFF && searchValue > 1) // surrogate pair - { - idxChar = searchValue.substr(0, 2); - } - - var resultsPage; - var resultsPageWithSearch; - var hasResultsPage; - - var idx = indexSectionsWithContent[this.searchIndex].indexOf(idxChar); - if (idx!=-1) - { - var hexCode=idx.toString(16); - resultsPage = this.resultsPath + '/' + indexSectionNames[this.searchIndex] + '_' + hexCode + '.html'; - resultsPageWithSearch = resultsPage+'?'+escape(searchValue); - hasResultsPage = true; - } - else // nothing available for this search term - { - resultsPage = this.resultsPath + '/nomatches.html'; - resultsPageWithSearch = resultsPage; - hasResultsPage = false; - } - - window.frames.MSearchResults.location = resultsPageWithSearch; - var domPopupSearchResultsWindow = this.DOMPopupSearchResultsWindow(); - - if (domPopupSearchResultsWindow.style.display!='block') - { - var domSearchBox = this.DOMSearchBox(); - this.DOMSearchClose().style.display = 'inline'; - if (this.insideFrame) - { - var domPopupSearchResults = this.DOMPopupSearchResults(); - domPopupSearchResultsWindow.style.position = 'relative'; - domPopupSearchResultsWindow.style.display = 'block'; - var width = document.body.clientWidth - 8; // the -8 is for IE :-( - domPopupSearchResultsWindow.style.width = width + 'px'; - domPopupSearchResults.style.width = width + 'px'; - } - else - { - var domPopupSearchResults = this.DOMPopupSearchResults(); - var left = getXPos(domSearchBox) + 150; // domSearchBox.offsetWidth; - var top = getYPos(domSearchBox) + 20; // domSearchBox.offsetHeight + 1; - domPopupSearchResultsWindow.style.display = 'block'; - left -= domPopupSearchResults.offsetWidth; - domPopupSearchResultsWindow.style.top = top + 'px'; - domPopupSearchResultsWindow.style.left = left + 'px'; - } - } - - this.lastSearchValue = searchValue; - this.lastResultsPage = resultsPage; - } - - // -------- Activation Functions - - // Activates or deactivates the search panel, resetting things to - // their default values if necessary. - this.Activate = function(isActive) - { - if (isActive || // open it - this.DOMPopupSearchResultsWindow().style.display == 'block' - ) - { - this.DOMSearchBox().className = 'MSearchBoxActive'; - - var searchField = this.DOMSearchField(); - - if (searchField.value == this.searchLabel) // clear "Search" term upon entry - { - searchField.value = ''; - this.searchActive = true; - } - } - else if (!isActive) // directly remove the panel - { - this.DOMSearchBox().className = 'MSearchBoxInactive'; - this.DOMSearchField().value = this.searchLabel; - this.searchActive = false; - this.lastSearchValue = '' - this.lastResultsPage = ''; - } - } -} - -// ----------------------------------------------------------------------- - -// The class that handles everything on the search results page. -function SearchResults(name) -{ - // The number of matches from the last run of . - this.lastMatchCount = 0; - this.lastKey = 0; - this.repeatOn = false; - - // Toggles the visibility of the passed element ID. - this.FindChildElement = function(id) - { - var parentElement = document.getElementById(id); - var element = parentElement.firstChild; - - while (element && element!=parentElement) - { - if (element.nodeName == 'DIV' && element.className == 'SRChildren') - { - return element; - } - - if (element.nodeName == 'DIV' && element.hasChildNodes()) - { - element = element.firstChild; - } - else if (element.nextSibling) - { - element = element.nextSibling; - } - else - { - do - { - element = element.parentNode; - } - while (element && element!=parentElement && !element.nextSibling); - - if (element && element!=parentElement) - { - element = element.nextSibling; - } - } - } - } - - this.Toggle = function(id) - { - var element = this.FindChildElement(id); - if (element) - { - if (element.style.display == 'block') - { - element.style.display = 'none'; - } - else - { - element.style.display = 'block'; - } - } - } - - // Searches for the passed string. If there is no parameter, - // it takes it from the URL query. - // - // Always returns true, since other documents may try to call it - // and that may or may not be possible. - this.Search = function(search) - { - if (!search) // get search word from URL - { - search = window.location.search; - search = search.substring(1); // Remove the leading '?' - search = unescape(search); - } - - search = search.replace(/^ +/, ""); // strip leading spaces - search = search.replace(/ +$/, ""); // strip trailing spaces - search = search.toLowerCase(); - search = convertToId(search); - - var resultRows = document.getElementsByTagName("div"); - var matches = 0; - - var i = 0; - while (i < resultRows.length) - { - var row = resultRows.item(i); - if (row.className == "SRResult") - { - var rowMatchName = row.id.toLowerCase(); - rowMatchName = rowMatchName.replace(/^sr\d*_/, ''); // strip 'sr123_' - - if (search.length<=rowMatchName.length && - rowMatchName.substr(0, search.length)==search) - { - row.style.display = 'block'; - matches++; - } - else - { - row.style.display = 'none'; - } - } - i++; - } - document.getElementById("Searching").style.display='none'; - if (matches == 0) // no results - { - document.getElementById("NoMatches").style.display='block'; - } - else // at least one result - { - document.getElementById("NoMatches").style.display='none'; - } - this.lastMatchCount = matches; - return true; - } - - // return the first item with index index or higher that is visible - this.NavNext = function(index) - { - var focusItem; - while (1) - { - var focusName = 'Item'+index; - focusItem = document.getElementById(focusName); - if (focusItem && focusItem.parentNode.parentNode.style.display=='block') - { - break; - } - else if (!focusItem) // last element - { - break; - } - focusItem=null; - index++; - } - return focusItem; - } - - this.NavPrev = function(index) - { - var focusItem; - while (1) - { - var focusName = 'Item'+index; - focusItem = document.getElementById(focusName); - if (focusItem && focusItem.parentNode.parentNode.style.display=='block') - { - break; - } - else if (!focusItem) // last element - { - break; - } - focusItem=null; - index--; - } - return focusItem; - } - - this.ProcessKeys = function(e) - { - if (e.type == "keydown") - { - this.repeatOn = false; - this.lastKey = e.keyCode; - } - else if (e.type == "keypress") - { - if (!this.repeatOn) - { - if (this.lastKey) this.repeatOn = true; - return false; // ignore first keypress after keydown - } - } - else if (e.type == "keyup") - { - this.lastKey = 0; - this.repeatOn = false; - } - return this.lastKey!=0; - } - - this.Nav = function(evt,itemIndex) - { - var e = (evt) ? evt : window.event; // for IE - if (e.keyCode==13) return true; - if (!this.ProcessKeys(e)) return false; - - if (this.lastKey==38) // Up - { - var newIndex = itemIndex-1; - var focusItem = this.NavPrev(newIndex); - if (focusItem) - { - var child = this.FindChildElement(focusItem.parentNode.parentNode.id); - if (child && child.style.display == 'block') // children visible - { - var n=0; - var tmpElem; - while (1) // search for last child - { - tmpElem = document.getElementById('Item'+newIndex+'_c'+n); - if (tmpElem) - { - focusItem = tmpElem; - } - else // found it! - { - break; - } - n++; - } - } - } - if (focusItem) - { - focusItem.focus(); - } - else // return focus to search field - { - parent.document.getElementById("MSearchField").focus(); - } - } - else if (this.lastKey==40) // Down - { - var newIndex = itemIndex+1; - var focusItem; - var item = document.getElementById('Item'+itemIndex); - var elem = this.FindChildElement(item.parentNode.parentNode.id); - if (elem && elem.style.display == 'block') // children visible - { - focusItem = document.getElementById('Item'+itemIndex+'_c0'); - } - if (!focusItem) focusItem = this.NavNext(newIndex); - if (focusItem) focusItem.focus(); - } - else if (this.lastKey==39) // Right - { - var item = document.getElementById('Item'+itemIndex); - var elem = this.FindChildElement(item.parentNode.parentNode.id); - if (elem) elem.style.display = 'block'; - } - else if (this.lastKey==37) // Left - { - var item = document.getElementById('Item'+itemIndex); - var elem = this.FindChildElement(item.parentNode.parentNode.id); - if (elem) elem.style.display = 'none'; - } - else if (this.lastKey==27) // Escape - { - parent.searchBox.CloseResultsWindow(); - parent.document.getElementById("MSearchField").focus(); - } - else if (this.lastKey==13) // Enter - { - return true; - } - return false; - } - - this.NavChild = function(evt,itemIndex,childIndex) - { - var e = (evt) ? evt : window.event; // for IE - if (e.keyCode==13) return true; - if (!this.ProcessKeys(e)) return false; - - if (this.lastKey==38) // Up - { - if (childIndex>0) - { - var newIndex = childIndex-1; - document.getElementById('Item'+itemIndex+'_c'+newIndex).focus(); - } - else // already at first child, jump to parent - { - document.getElementById('Item'+itemIndex).focus(); - } - } - else if (this.lastKey==40) // Down - { - var newIndex = childIndex+1; - var elem = document.getElementById('Item'+itemIndex+'_c'+newIndex); - if (!elem) // last child, jump to parent next parent - { - elem = this.NavNext(itemIndex+1); - } - if (elem) - { - elem.focus(); - } - } - else if (this.lastKey==27) // Escape - { - parent.searchBox.CloseResultsWindow(); - parent.document.getElementById("MSearchField").focus(); - } - else if (this.lastKey==13) // Enter - { - return true; - } - return false; - } -} - -function setKeyActions(elem,action) -{ - elem.setAttribute('onkeydown',action); - elem.setAttribute('onkeypress',action); - elem.setAttribute('onkeyup',action); -} - -function setClassAttr(elem,attr) -{ - elem.setAttribute('class',attr); - elem.setAttribute('className',attr); -} - -function createResults() -{ - var results = document.getElementById("SRResults"); - for (var e=0; e - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/docs/html/search/variables_0.js b/docs/html/search/variables_0.js deleted file mode 100644 index 27e3cc2..0000000 --- a/docs/html/search/variables_0.js +++ /dev/null @@ -1,4 +0,0 @@ -var searchData= -[ - ['floor_5fsqrt_5fllong_5fmax',['FLOOR_SQRT_LLONG_MAX',['../binary__arithmetic_8hpp.html#ad07868eab18fb7d69e30e2d2fdd7b475',1,'binary_arithmetic.hpp']]] -]; diff --git a/docs/html/search/variables_1.html b/docs/html/search/variables_1.html deleted file mode 100644 index f46154d..0000000 --- a/docs/html/search/variables_1.html +++ /dev/null @@ -1,30 +0,0 @@ - - - - - - - - - -
    -
    Loading...
    -
    - -
    Searching...
    -
    No Matches
    - -
    - - diff --git a/docs/html/search/variables_1.js b/docs/html/search/variables_1.js deleted file mode 100644 index 81dd3e1..0000000 --- a/docs/html/search/variables_1.js +++ /dev/null @@ -1,4 +0,0 @@ -var searchData= -[ - ['max_5frandom_5flength',['MAX_RANDOM_LENGTH',['../random_8hpp.html#a2e260cf435898b1ee04502d142674c16',1,'random.hpp']]] -]; diff --git a/docs/html/splitbar.png b/docs/html/splitbar.png deleted file mode 100644 index fe895f2..0000000 Binary files a/docs/html/splitbar.png and /dev/null differ diff --git a/docs/html/sync_off.png b/docs/html/sync_off.png deleted file mode 100644 index 3b443fc..0000000 Binary files a/docs/html/sync_off.png and /dev/null differ diff --git a/docs/html/sync_on.png b/docs/html/sync_on.png deleted file mode 100644 index e08320f..0000000 Binary files a/docs/html/sync_on.png and /dev/null differ diff --git a/docs/html/tab_a.png b/docs/html/tab_a.png deleted file mode 100644 index 3b725c4..0000000 Binary files a/docs/html/tab_a.png and /dev/null differ diff --git a/docs/html/tab_b.png b/docs/html/tab_b.png deleted file mode 100644 index e2b4a86..0000000 Binary files a/docs/html/tab_b.png and /dev/null differ diff --git a/docs/html/tab_h.png b/docs/html/tab_h.png deleted file mode 100644 index fd5cb70..0000000 Binary files a/docs/html/tab_h.png and /dev/null differ diff --git a/docs/html/tab_s.png b/docs/html/tab_s.png deleted file mode 100644 index ab478c9..0000000 Binary files a/docs/html/tab_s.png and /dev/null differ diff --git a/docs/html/tabs.css b/docs/html/tabs.css deleted file mode 100644 index a28614b..0000000 --- a/docs/html/tabs.css +++ /dev/null @@ -1 +0,0 @@ -.sm{position:relative;z-index:9999}.sm,.sm ul,.sm li{display:block;list-style:none;margin:0;padding:0;line-height:normal;direction:ltr;text-align:left;-webkit-tap-highlight-color:rgba(0,0,0,0)}.sm-rtl,.sm-rtl ul,.sm-rtl li{direction:rtl;text-align:right}.sm>li>h1,.sm>li>h2,.sm>li>h3,.sm>li>h4,.sm>li>h5,.sm>li>h6{margin:0;padding:0}.sm 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    1 
    7 #ifndef BIG_INT_UNARY_ARITHMETIC_OPERATORS_HPP
    8 #define BIG_INT_UNARY_ARITHMETIC_OPERATORS_HPP
    9 
    10 #include "BigInt.hpp"
    11 #include "constructors/constructors.hpp"
    12 
    13 
    27 BigInt BigInt::operator+() const {
    28  return *this;
    29 }
    30 
    31 
    42 BigInt BigInt::operator-() const {
    43  BigInt temp;
    44 
    45  temp.value = value;
    46  if (value != "0") {
    47  if (sign == '+')
    48  temp.sign = '-';
    49  else
    50  temp.sign = '+';
    51  }
    52 
    53  return temp;
    54 }
    55 
    56 #endif // BIG_INT_UNARY_ARITHMETIC_OPERATORS_HPP
    BigInt
    Class that contains an arbitrarily sized integer.
    Definition: BigInt.hpp:15
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    BigInt::operator+
    BigInt operator+() const
    Performs unary + operation on BigInt.
    Definition: unary_arithmetic.hpp:27
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    Contains class declaration for BigInt.
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    BigInt operator-() const
    Performs unary - operation on BigInt.
    Definition: unary_arithmetic.hpp:42
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    1 
    7 #ifndef BIG_INT_UTILITY_FUNCTIONS_HPP
    8 #define BIG_INT_UTILITY_FUNCTIONS_HPP
    9 
    10 #include <tuple>
    11 
    12 
    19 bool is_valid_number(const std::string& num) {
    20  for (char digit : num)
    21  if (digit < '0' or digit > '9')
    22  return false;
    23 
    24  return true;
    25 }
    26 
    27 
    33 void strip_leading_zeroes(std::string& num) {
    34  size_t i;
    35  for (i = 0; i < num.size(); i++)
    36  if (num[i] != '0')
    37  break;
    38 
    39  if (i == num.size())
    40  num = "0";
    41  else
    42  num = num.substr(i);
    43 }
    44 
    45 
    46 /*
    47  add_leading_zeroes
    48  ------------------
    49  Adds a given number of leading zeroes to a string-represented integer `num`.
    50 */
    51 
    58 void add_leading_zeroes(std::string& num, size_t num_zeroes) {
    59  num = std::string(num_zeroes, '0') + num;
    60 }
    61 
    62 
    69 void add_trailing_zeroes(std::string& num, size_t num_zeroes) {
    70  num += std::string(num_zeroes, '0');
    71 }
    72 
    73 
    86 std::tuple<std::string, std::string> get_larger_and_smaller(const std::string& num1,
    87  const std::string& num2) {
    88  std::string larger, smaller;
    89  if (num1.size() > num2.size() or
    90  (num1.size() == num2.size() and num1 > num2)) {
    91  larger = num1;
    92  smaller = num2;
    93  }
    94  else {
    95  larger = num2;
    96  smaller = num1;
    97  }
    98 
    99  // pad the smaller number with zeroes
    100  add_leading_zeroes(smaller, larger.size() - smaller.size());
    101 
    102  return std::make_tuple(larger, smaller);
    103 }
    104 
    105 
    114 bool is_power_of_10(const std::string& num){
    115  if (num[0] != '1')
    116  return false;
    117  for (size_t i = 1; i < num.size(); i++)
    118  if (num[i] != '0')
    119  return false;
    120 
    121  return true; // first digit is 1 and the following digits are all 0
    122 }
    123 
    124 #endif // BIG_INT_UTILITY_FUNCTIONS_HPP
    is_power_of_10
    bool is_power_of_10(const std::string &num)
    Checks if a std::string value is a power of ten.
    Definition: utility.hpp:114
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    get_larger_and_smaller
    std::tuple< std::string, std::string > get_larger_and_smaller(const std::string &num1, const std::string &num2)
    Returns std::string parameters in order of value.
    Definition: utility.hpp:86
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    bool is_valid_number(const std::string &num)
    Checks if std::string value is a valid integer.
    Definition: utility.hpp:19
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    void add_trailing_zeroes(std::string &num, size_t num_zeroes)
    Adds trailing zeros to std::string value.
    Definition: utility.hpp:69
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    void add_leading_zeroes(std::string &num, size_t num_zeroes)
    Adds leading zeros to std::string value.
    Definition: utility.hpp:58
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    void strip_leading_zeroes(std::string &num)
    Removes leading zeroes from an std::string integer.
    Definition: utility.hpp:33
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