[13f7525] | 1 | /*
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[7dcce0a] | 2 | * Copyright (c) 2019 Jaroslav Jindrak
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[13f7525] | 3 | * All rights reserved.
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| 4 | *
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| 5 | * Redistribution and use in source and binary forms, with or without
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| 6 | * modification, are permitted provided that the following conditions
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| 7 | * are met:
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| 8 | *
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| 9 | * - Redistributions of source code must retain the above copyright
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| 10 | * notice, this list of conditions and the following disclaimer.
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| 11 | * - Redistributions in binary form must reproduce the above copyright
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| 12 | * notice, this list of conditions and the following disclaimer in the
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| 13 | * documentation and/or other materials provided with the distribution.
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| 14 | * - The name of the author may not be used to endorse or promote products
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| 15 | * derived from this software without specific prior written permission.
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| 16 | *
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| 17 | * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
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| 18 | * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
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| 19 | * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
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| 20 | * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
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| 21 | * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
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| 22 | * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
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| 23 | * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
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| 24 | * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
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| 25 | * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
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| 26 | * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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| 27 | */
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| 28 |
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[b57a3ee] | 29 | #ifndef LIBCPP_BITS_COMPLEX
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| 30 | #define LIBCPP_BITS_COMPLEX
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[13f7525] | 31 |
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[7dcce0a] | 32 | #include <cassert>
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[8794d16] | 33 | #include <iosfwd>
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[937de98] | 34 | #include <sstream>
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[8794d16] | 35 |
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| 36 | namespace std
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| 37 | {
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| 38 | template<class T>
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| 39 | class complex
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| 40 | {
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| 41 | public:
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| 42 | using value_type = T;
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| 43 |
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| 44 | constexpr complex(const value_type& re = value_type{},
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| 45 | const value_type& im = value_type{})
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| 46 | : real_{re}, imag_{im}
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| 47 | { /* DUMMY BODY */ }
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| 48 |
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| 49 | constexpr complex(const complex& other)
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| 50 | : real_{other.real_}, imag_{other.imag_}
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| 51 | { /* DUMMY BODY */ }
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| 52 |
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| 53 | template<class U>
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| 54 | constexpr complex(const complex<U>& other)
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[937de98] | 55 | : real_(other.real()), imag_(other.imag())
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[8794d16] | 56 | { /* DUMMY BODY */ }
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| 57 |
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| 58 | constexpr value_type real() const
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| 59 | {
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| 60 | return real_;
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| 61 | }
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| 62 |
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| 63 | void real(value_type val)
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| 64 | {
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| 65 | real_ = val;
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| 66 | }
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| 67 |
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| 68 | constexpr value_type imag() const
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| 69 | {
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| 70 | return imag_;
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| 71 | }
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| 72 |
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| 73 | void imag(value_type val)
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| 74 | {
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| 75 | imag_ = val;
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| 76 | }
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| 77 |
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| 78 | complex& operator=(const value_type& val)
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| 79 | {
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| 80 | real_ = val;
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| 81 | imag_ = value_type{};
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| 82 |
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| 83 | return *this;
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| 84 | }
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| 85 |
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| 86 | complex& operator+=(const value_type& val)
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| 87 | {
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| 88 | real_ += val;
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| 89 |
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| 90 | return *this;
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| 91 | }
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| 92 |
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| 93 | complex& operator-=(const value_type& val)
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| 94 | {
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| 95 | real_ -= val;
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| 96 |
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| 97 | return *this;
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| 98 | }
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| 99 |
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| 100 | complex& operator*=(const value_type& val)
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| 101 | {
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| 102 | real_ *= val;
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| 103 | imag_ *= val;
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| 104 |
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| 105 | return *this;
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| 106 | }
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| 107 |
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| 108 | complex& operator/=(const value_type& val)
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| 109 | {
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| 110 | real_ /= val;
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| 111 | imag_ /= val;
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| 112 |
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| 113 | return *this;
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| 114 | }
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| 115 |
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| 116 | complex& operator=(const complex& other)
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| 117 | {
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| 118 | real_ = other.real_;
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| 119 | imag_ = other.imag_;
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| 120 |
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| 121 | return *this;
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| 122 | }
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| 123 |
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| 124 | template<class U>
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| 125 | complex& operator=(const complex<U>& rhs)
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| 126 | {
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| 127 | real_ = rhs.real_;
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| 128 | imag_ = rhs.imag_;
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| 129 |
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| 130 | return *this;
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| 131 | }
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| 132 |
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| 133 | template<class U>
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| 134 | complex& operator+=(const complex<U>& rhs)
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| 135 | {
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| 136 | real_ += rhs.real_;
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| 137 | imag_ += rhs.imag_;
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| 138 |
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| 139 | return *this;
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| 140 | }
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| 141 |
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| 142 | template<class U>
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| 143 | complex& operator-=(const complex<U>& rhs)
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| 144 | {
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| 145 | real_ -= rhs.real_;
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| 146 | imag_ -= rhs.imag_;
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| 147 |
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| 148 | return *this;
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| 149 | }
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| 150 |
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| 151 | template<class U>
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| 152 | complex& operator*=(const complex<U>& rhs)
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| 153 | {
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[937de98] | 154 | auto old_real = real_;
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[8794d16] | 155 | real_ = real_ * rhs.real_ - imag_ * rhs.imag_;
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[937de98] | 156 | imag_ = old_real * rhs.imag_ + imag_ * rhs.real_;
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[8794d16] | 157 |
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| 158 | return *this;
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| 159 | }
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| 160 |
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| 161 | template<class U>
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| 162 | complex& operator/=(const complex<U>& rhs)
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| 163 | {
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[937de98] | 164 | auto old_real = real_;
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[8794d16] | 165 | real_ = (real_ * rhs.real_ + imag_ * rhs.imag_)
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| 166 | / (rhs.real_ * rhs.real_ + rhs.imag_ * rhs.imag_);
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[937de98] | 167 | imag_ = (imag_ * rhs.real_ - old_real * rhs.imag_)
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[8794d16] | 168 | / (rhs.real_ * rhs.real_ + rhs.imag_ * rhs.imag_);
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| 169 |
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| 170 | return *this;
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| 171 | }
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| 172 |
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| 173 | private:
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| 174 | value_type real_;
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| 175 | value_type imag_;
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| 176 | };
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| 177 |
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| 178 | template<>
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| 179 | class complex<float>
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| 180 | {
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| 181 | public:
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| 182 | using value_type = float;
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| 183 |
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| 184 | constexpr complex(const value_type& re = value_type{},
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| 185 | const value_type& im = value_type{})
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| 186 | : real_{re}, imag_{im}
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| 187 | { /* DUMMY BODY */ }
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| 188 |
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| 189 | constexpr complex(const complex& other)
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| 190 | : real_{other.real_}, imag_{other.imag_}
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| 191 | { /* DUMMY BODY */ }
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| 192 |
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| 193 | template<class U>
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| 194 | constexpr complex(const complex<U>& other)
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[937de98] | 195 | : real_(other.real()), imag_(other.imag())
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[8794d16] | 196 | { /* DUMMY BODY */ }
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| 197 |
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| 198 | constexpr value_type real() const
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| 199 | {
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| 200 | return real_;
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| 201 | }
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| 202 |
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| 203 | void real(value_type val)
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| 204 | {
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| 205 | real_ = val;
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| 206 | }
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| 207 |
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| 208 | constexpr value_type imag() const
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| 209 | {
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| 210 | return imag_;
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| 211 | }
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| 212 |
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| 213 | void imag(value_type val)
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| 214 | {
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| 215 | imag_ = val;
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| 216 | }
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| 217 |
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| 218 | complex& operator=(const value_type& val)
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| 219 | {
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| 220 | real_ = val;
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| 221 | imag_ = value_type{};
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| 222 |
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| 223 | return *this;
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| 224 | }
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| 225 |
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| 226 | complex& operator+=(const value_type& val)
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| 227 | {
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| 228 | real_ += val;
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| 229 |
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| 230 | return *this;
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| 231 | }
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| 232 |
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| 233 | complex& operator-=(const value_type& val)
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| 234 | {
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| 235 | real_ -= val;
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| 236 |
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| 237 | return *this;
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| 238 | }
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| 239 |
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| 240 | complex& operator*=(const value_type& val)
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| 241 | {
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| 242 | real_ *= val;
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| 243 | imag_ *= val;
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| 244 |
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| 245 | return *this;
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| 246 | }
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| 247 |
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| 248 | complex& operator/=(const value_type& val)
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| 249 | {
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| 250 | real_ /= val;
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| 251 | imag_ /= val;
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| 252 |
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| 253 | return *this;
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| 254 | }
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| 255 |
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| 256 | complex& operator=(const complex& other)
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| 257 | {
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| 258 | real_ = other.real_;
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| 259 | imag_ = other.imag_;
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| 260 |
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| 261 | return *this;
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| 262 | }
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| 263 |
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| 264 | template<class U>
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| 265 | complex& operator=(const complex<U>& rhs)
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| 266 | {
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| 267 | real_ = rhs.real_;
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| 268 | imag_ = rhs.imag_;
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| 269 |
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| 270 | return *this;
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| 271 | }
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| 272 |
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| 273 | template<class U>
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| 274 | complex& operator+=(const complex<U>& rhs)
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| 275 | {
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| 276 | real_ += rhs.real_;
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| 277 | imag_ += rhs.imag_;
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| 278 |
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| 279 | return *this;
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| 280 | }
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| 281 |
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| 282 | template<class U>
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| 283 | complex& operator-=(const complex<U>& rhs)
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| 284 | {
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| 285 | real_ -= rhs.real_;
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| 286 | imag_ -= rhs.imag_;
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| 287 |
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| 288 | return *this;
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| 289 | }
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| 290 |
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| 291 | template<class U>
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| 292 | complex& operator*=(const complex<U>& rhs)
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| 293 | {
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[937de98] | 294 | auto old_real = real_;
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[8794d16] | 295 | real_ = real_ * rhs.real_ - imag_ * rhs.imag_;
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[937de98] | 296 | imag_ = old_real * rhs.imag_ + imag_ * rhs.real_;
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[8794d16] | 297 |
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| 298 | return *this;
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| 299 | }
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| 300 |
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| 301 | template<class U>
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| 302 | complex& operator/=(const complex<U>& rhs)
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| 303 | {
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[937de98] | 304 | auto old_real = real_;
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[8794d16] | 305 | real_ = (real_ * rhs.real_ + imag_ * rhs.imag_)
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| 306 | / (rhs.real_ * rhs.real_ + rhs.imag_ * rhs.imag_);
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[937de98] | 307 | imag_ = (imag_ * rhs.real_ - old_real * rhs.imag_)
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[8794d16] | 308 | / (rhs.real_ * rhs.real_ + rhs.imag_ * rhs.imag_);
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| 309 |
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| 310 | return *this;
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| 311 | }
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| 312 |
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| 313 | private:
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| 314 | value_type real_;
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| 315 | value_type imag_;
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| 316 | };
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| 317 |
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| 318 | template<>
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| 319 | class complex<double>
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| 320 | {
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| 321 | public:
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| 322 | using value_type = double;
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| 323 |
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| 324 | constexpr complex(const value_type& re = value_type{},
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| 325 | const value_type& im = value_type{})
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| 326 | : real_{re}, imag_{im}
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| 327 | { /* DUMMY BODY */ }
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| 328 |
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| 329 | constexpr complex(const complex& other)
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| 330 | : real_{other.real_}, imag_{other.imag_}
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| 331 | { /* DUMMY BODY */ }
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| 332 |
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| 333 | template<class U>
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| 334 | constexpr complex(const complex<U>& other)
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[937de98] | 335 | : real_(other.real()), imag_(other.imag())
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[8794d16] | 336 | { /* DUMMY BODY */ }
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| 337 |
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| 338 | constexpr value_type real() const
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| 339 | {
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| 340 | return real_;
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| 341 | }
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| 342 |
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| 343 | void real(value_type val)
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| 344 | {
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| 345 | real_ = val;
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| 346 | }
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| 347 |
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| 348 | constexpr value_type imag() const
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| 349 | {
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| 350 | return imag_;
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| 351 | }
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| 352 |
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| 353 | void imag(value_type val)
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| 354 | {
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| 355 | imag_ = val;
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| 356 | }
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| 357 |
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| 358 | complex& operator=(const value_type& val)
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| 359 | {
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| 360 | real_ = val;
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| 361 | imag_ = value_type{};
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| 362 |
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| 363 | return *this;
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| 364 | }
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| 365 |
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| 366 | complex& operator+=(const value_type& val)
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| 367 | {
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| 368 | real_ += val;
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| 369 |
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| 370 | return *this;
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| 371 | }
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| 372 |
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| 373 | complex& operator-=(const value_type& val)
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| 374 | {
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| 375 | real_ -= val;
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| 376 |
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| 377 | return *this;
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| 378 | }
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| 379 |
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| 380 | complex& operator*=(const value_type& val)
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| 381 | {
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| 382 | real_ *= val;
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| 383 | imag_ *= val;
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| 384 |
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| 385 | return *this;
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| 386 | }
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| 387 |
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| 388 | complex& operator/=(const value_type& val)
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| 389 | {
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| 390 | real_ /= val;
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| 391 | imag_ /= val;
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| 392 |
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| 393 | return *this;
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| 394 | }
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| 395 |
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| 396 | complex& operator=(const complex& other)
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| 397 | {
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| 398 | real_ = other.real_;
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| 399 | imag_ = other.imag_;
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| 400 |
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| 401 | return *this;
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| 402 | }
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| 403 |
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| 404 | template<class U>
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| 405 | complex& operator=(const complex<U>& rhs)
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| 406 | {
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| 407 | real_ = rhs.real_;
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| 408 | imag_ = rhs.imag_;
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| 409 |
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| 410 | return *this;
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| 411 | }
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| 412 |
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| 413 | template<class U>
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| 414 | complex& operator+=(const complex<U>& rhs)
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| 415 | {
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| 416 | real_ += rhs.real_;
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| 417 | imag_ += rhs.imag_;
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| 418 |
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| 419 | return *this;
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| 420 | }
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| 421 |
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| 422 | template<class U>
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| 423 | complex& operator-=(const complex<U>& rhs)
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| 424 | {
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| 425 | real_ -= rhs.real_;
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| 426 | imag_ -= rhs.imag_;
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| 427 |
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| 428 | return *this;
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| 429 | }
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| 430 |
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| 431 | template<class U>
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| 432 | complex& operator*=(const complex<U>& rhs)
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| 433 | {
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[937de98] | 434 | auto old_real = real_;
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[8794d16] | 435 | real_ = real_ * rhs.real_ - imag_ * rhs.imag_;
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[937de98] | 436 | imag_ = old_real * rhs.imag_ + imag_ * rhs.real_;
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[8794d16] | 437 |
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| 438 | return *this;
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| 439 | }
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| 440 |
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| 441 | template<class U>
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| 442 | complex& operator/=(const complex<U>& rhs)
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| 443 | {
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[937de98] | 444 | auto old_real = real_;
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[8794d16] | 445 | real_ = (real_ * rhs.real_ + imag_ * rhs.imag_)
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| 446 | / (rhs.real_ * rhs.real_ + rhs.imag_ * rhs.imag_);
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[937de98] | 447 | imag_ = (imag_ * rhs.real_ - old_real * rhs.imag_)
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[8794d16] | 448 | / (rhs.real_ * rhs.real_ + rhs.imag_ * rhs.imag_);
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| 449 |
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| 450 | return *this;
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| 451 | }
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| 452 |
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| 453 | private:
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| 454 | value_type real_;
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| 455 | value_type imag_;
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| 456 | };
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| 457 |
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| 458 | template<>
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| 459 | class complex<long double>
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| 460 | {
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| 461 | public:
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| 462 | using value_type = long double;
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| 463 |
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| 464 | constexpr complex(const value_type& re = value_type{},
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| 465 | const value_type& im = value_type{})
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| 466 | : real_{re}, imag_{im}
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| 467 | { /* DUMMY BODY */ }
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| 468 |
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| 469 | constexpr complex(const complex& other)
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| 470 | : real_{other.real_}, imag_{other.imag_}
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| 471 | { /* DUMMY BODY */ }
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| 472 |
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| 473 | template<class U>
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| 474 | constexpr complex(const complex<U>& other)
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[937de98] | 475 | : real_(other.real()), imag_(other.imag())
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[8794d16] | 476 | { /* DUMMY BODY */ }
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| 477 |
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| 478 | constexpr value_type real() const
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| 479 | {
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| 480 | return real_;
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| 481 | }
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| 482 |
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| 483 | void real(value_type val)
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| 484 | {
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| 485 | real_ = val;
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| 486 | }
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| 487 |
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| 488 | constexpr value_type imag() const
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| 489 | {
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| 490 | return imag_;
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| 491 | }
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| 492 |
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| 493 | void imag(value_type val)
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| 494 | {
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| 495 | imag_ = val;
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| 496 | }
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| 497 |
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| 498 | complex& operator=(const value_type& val)
|
---|
| 499 | {
|
---|
| 500 | real_ = val;
|
---|
| 501 | imag_ = value_type{};
|
---|
| 502 |
|
---|
| 503 | return *this;
|
---|
| 504 | }
|
---|
| 505 |
|
---|
| 506 | complex& operator+=(const value_type& val)
|
---|
| 507 | {
|
---|
| 508 | real_ += val;
|
---|
| 509 |
|
---|
| 510 | return *this;
|
---|
| 511 | }
|
---|
| 512 |
|
---|
| 513 | complex& operator-=(const value_type& val)
|
---|
| 514 | {
|
---|
| 515 | real_ -= val;
|
---|
| 516 |
|
---|
| 517 | return *this;
|
---|
| 518 | }
|
---|
| 519 |
|
---|
| 520 | complex& operator*=(const value_type& val)
|
---|
| 521 | {
|
---|
| 522 | real_ *= val;
|
---|
| 523 | imag_ *= val;
|
---|
| 524 |
|
---|
| 525 | return *this;
|
---|
| 526 | }
|
---|
| 527 |
|
---|
| 528 | complex& operator/=(const value_type& val)
|
---|
| 529 | {
|
---|
| 530 | real_ /= val;
|
---|
| 531 | imag_ /= val;
|
---|
| 532 |
|
---|
| 533 | return *this;
|
---|
| 534 | }
|
---|
| 535 |
|
---|
| 536 | complex& operator=(const complex& other)
|
---|
| 537 | {
|
---|
| 538 | real_ = other.real_;
|
---|
| 539 | imag_ = other.imag_;
|
---|
| 540 |
|
---|
| 541 | return *this;
|
---|
| 542 | }
|
---|
| 543 |
|
---|
| 544 | template<class U>
|
---|
| 545 | complex& operator=(const complex<U>& rhs)
|
---|
| 546 | {
|
---|
| 547 | real_ = rhs.real_;
|
---|
| 548 | imag_ = rhs.imag_;
|
---|
| 549 |
|
---|
| 550 | return *this;
|
---|
| 551 | }
|
---|
| 552 |
|
---|
| 553 | template<class U>
|
---|
| 554 | complex& operator+=(const complex<U>& rhs)
|
---|
| 555 | {
|
---|
| 556 | real_ += rhs.real_;
|
---|
| 557 | imag_ += rhs.imag_;
|
---|
| 558 |
|
---|
| 559 | return *this;
|
---|
| 560 | }
|
---|
| 561 |
|
---|
| 562 | template<class U>
|
---|
| 563 | complex& operator-=(const complex<U>& rhs)
|
---|
| 564 | {
|
---|
| 565 | real_ -= rhs.real_;
|
---|
| 566 | imag_ -= rhs.imag_;
|
---|
| 567 |
|
---|
| 568 | return *this;
|
---|
| 569 | }
|
---|
| 570 |
|
---|
| 571 | template<class U>
|
---|
| 572 | complex& operator*=(const complex<U>& rhs)
|
---|
| 573 | {
|
---|
[937de98] | 574 | auto old_real = real_;
|
---|
[8794d16] | 575 | real_ = real_ * rhs.real_ - imag_ * rhs.imag_;
|
---|
[937de98] | 576 | imag_ = old_real * rhs.imag_ + imag_ * rhs.real_;
|
---|
[8794d16] | 577 |
|
---|
| 578 | return *this;
|
---|
| 579 | }
|
---|
| 580 |
|
---|
| 581 | template<class U>
|
---|
| 582 | complex& operator/=(const complex<U>& rhs)
|
---|
| 583 | {
|
---|
[937de98] | 584 | auto old_real = real_;
|
---|
[8794d16] | 585 | real_ = (real_ * rhs.real_ + imag_ * rhs.imag_)
|
---|
| 586 | / (rhs.real_ * rhs.real_ + rhs.imag_ * rhs.imag_);
|
---|
[937de98] | 587 | imag_ = (imag_ * rhs.real_ - old_real* rhs.imag_)
|
---|
[8794d16] | 588 | / (rhs.real_ * rhs.real_ + rhs.imag_ * rhs.imag_);
|
---|
| 589 |
|
---|
| 590 | return *this;
|
---|
| 591 | }
|
---|
| 592 |
|
---|
| 593 | private:
|
---|
| 594 | value_type real_;
|
---|
| 595 | value_type imag_;
|
---|
| 596 | };
|
---|
| 597 |
|
---|
| 598 | /**
|
---|
| 599 | * 26.4.6, operators:
|
---|
| 600 | */
|
---|
| 601 |
|
---|
| 602 | template<class T>
|
---|
| 603 | complex<T> operator+(const complex<T>& lhs, const complex<T>& rhs)
|
---|
| 604 | {
|
---|
| 605 | return complex<T>{lhs} += rhs;
|
---|
| 606 | }
|
---|
| 607 |
|
---|
| 608 | template<class T>
|
---|
| 609 | complex<T> operator+(const complex<T>& lhs, const T& rhs)
|
---|
| 610 | {
|
---|
| 611 | return complex<T>{lhs} += rhs;
|
---|
| 612 | }
|
---|
| 613 |
|
---|
| 614 | template<class T>
|
---|
| 615 | complex<T> operator+(const T& lhs, const complex<T>& rhs)
|
---|
| 616 | {
|
---|
| 617 | return complex<T>{lhs} += rhs;
|
---|
| 618 | }
|
---|
| 619 |
|
---|
| 620 | template<class T>
|
---|
| 621 | complex<T> operator-(const complex<T>& lhs, const complex<T>& rhs)
|
---|
| 622 | {
|
---|
| 623 | return complex<T>{lhs} -= rhs;
|
---|
| 624 | }
|
---|
| 625 |
|
---|
| 626 | template<class T>
|
---|
| 627 | complex<T> operator-(const complex<T>& lhs, const T& rhs)
|
---|
| 628 | {
|
---|
| 629 | return complex<T>{lhs} -= rhs;
|
---|
| 630 | }
|
---|
| 631 |
|
---|
| 632 | template<class T>
|
---|
| 633 | complex<T> operator-(const T& lhs, const complex<T>& rhs)
|
---|
| 634 | {
|
---|
| 635 | return complex<T>{lhs} -= rhs;
|
---|
| 636 | }
|
---|
| 637 |
|
---|
| 638 | template<class T>
|
---|
| 639 | complex<T> operator*(const complex<T>& lhs, const complex<T>& rhs)
|
---|
| 640 | {
|
---|
| 641 | return complex<T>{lhs} *= rhs;
|
---|
| 642 | }
|
---|
| 643 |
|
---|
| 644 | template<class T>
|
---|
| 645 | complex<T> operator*(const complex<T>& lhs, const T& rhs)
|
---|
| 646 | {
|
---|
| 647 | return complex<T>{lhs} *= rhs;
|
---|
| 648 | }
|
---|
| 649 |
|
---|
| 650 | template<class T>
|
---|
| 651 | complex<T> operator*(const T& lhs, const complex<T>& rhs)
|
---|
| 652 | {
|
---|
| 653 | return complex<T>{lhs} *= rhs;
|
---|
| 654 | }
|
---|
| 655 |
|
---|
| 656 | template<class T>
|
---|
| 657 | complex<T> operator/(const complex<T>& lhs, const complex<T>& rhs)
|
---|
| 658 | {
|
---|
| 659 | return complex<T>{lhs} /= rhs;
|
---|
| 660 | }
|
---|
| 661 |
|
---|
| 662 | template<class T>
|
---|
| 663 | complex<T> operator/(const complex<T>& lhs, const T& rhs)
|
---|
| 664 | {
|
---|
| 665 | return complex<T>{lhs} /= rhs;
|
---|
| 666 | }
|
---|
| 667 |
|
---|
| 668 | template<class T>
|
---|
| 669 | complex<T> operator/(const T& lhs, const complex<T>& rhs)
|
---|
| 670 | {
|
---|
| 671 | return complex<T>{lhs} /= rhs;
|
---|
| 672 | }
|
---|
| 673 |
|
---|
| 674 | template<class T>
|
---|
| 675 | complex<T> operator+(const complex<T>& c)
|
---|
| 676 | {
|
---|
| 677 | return complex<T>{c};
|
---|
| 678 | }
|
---|
| 679 |
|
---|
| 680 | template<class T>
|
---|
| 681 | complex<T> operator-(const complex<T>& c)
|
---|
| 682 | {
|
---|
| 683 | return complex<T>{-c.real(), -c.imag()};
|
---|
| 684 | }
|
---|
| 685 |
|
---|
| 686 | template<class T>
|
---|
| 687 | constexpr bool operator==(const complex<T>& lhs, const complex<T>& rhs)
|
---|
| 688 | {
|
---|
| 689 | return lhs.real() == rhs.real() && lhs.imag() == rhs.imag();
|
---|
| 690 | }
|
---|
| 691 |
|
---|
| 692 | template<class T>
|
---|
| 693 | constexpr bool operator==(const complex<T>& lhs, const T& rhs)
|
---|
| 694 | {
|
---|
| 695 | return lhs.real() == rhs && lhs.imag() == T{};
|
---|
| 696 | }
|
---|
| 697 |
|
---|
| 698 | template<class T>
|
---|
| 699 | constexpr bool operator==(const T& lhs, const complex<T>& rhs)
|
---|
| 700 | {
|
---|
| 701 | return lhs == rhs.real() && T{} == rhs.imag();
|
---|
| 702 | }
|
---|
| 703 |
|
---|
| 704 | template<class T>
|
---|
| 705 | constexpr bool operator!=(const complex<T>& lhs, const complex<T>& rhs)
|
---|
| 706 | {
|
---|
| 707 | return lhs.real() != rhs.real() || lhs.imag() != rhs.imag();
|
---|
| 708 | }
|
---|
| 709 |
|
---|
| 710 | template<class T>
|
---|
| 711 | constexpr bool operator!=(const complex<T>& lhs, const T& rhs)
|
---|
| 712 | {
|
---|
| 713 | return lhs.real() != rhs || lhs.imag() != T{};
|
---|
| 714 | }
|
---|
| 715 |
|
---|
| 716 | template<class T>
|
---|
| 717 | constexpr bool operator!=(const T& lhs, const complex<T>& rhs)
|
---|
| 718 | {
|
---|
| 719 | return lhs != rhs.real() || T{} != rhs.imag();
|
---|
| 720 | }
|
---|
| 721 |
|
---|
| 722 | template<class T, class Char, class Traits>
|
---|
| 723 | basic_istream<Char, Traits>& operator>>(basic_istream<Char, Traits>& is,
|
---|
| 724 | const complex<T>& c)
|
---|
| 725 | {
|
---|
| 726 | // TODO: implement
|
---|
[7dcce0a] | 727 | __unimplemented();
|
---|
| 728 | return is;
|
---|
[8794d16] | 729 | }
|
---|
| 730 |
|
---|
| 731 | template<class T, class Char, class Traits>
|
---|
| 732 | basic_ostream<Char, Traits>& operator<<(basic_ostream<Char, Traits>& os,
|
---|
| 733 | const complex<T>& c)
|
---|
| 734 | {
|
---|
| 735 | basic_ostringstream<Char, Traits> oss{};
|
---|
| 736 | oss.flags(os.flags());
|
---|
| 737 | oss.imbue(os.getloc());
|
---|
| 738 | oss.precision(os.precision());
|
---|
| 739 |
|
---|
| 740 | oss << "(" << c.real() << "," << c.imag() << ")";
|
---|
| 741 |
|
---|
| 742 | return os << oss.str();
|
---|
| 743 | }
|
---|
| 744 |
|
---|
| 745 | /**
|
---|
| 746 | * 26.4.7, values:
|
---|
| 747 | */
|
---|
| 748 |
|
---|
| 749 | template<class T>
|
---|
| 750 | constexpr T real(const complex<T>& c)
|
---|
| 751 | {
|
---|
| 752 | return c.real();
|
---|
| 753 | }
|
---|
| 754 |
|
---|
| 755 | template<class T>
|
---|
| 756 | constexpr T imag(const complex<T>& c)
|
---|
| 757 | {
|
---|
| 758 | return c.imag();
|
---|
| 759 | }
|
---|
| 760 |
|
---|
| 761 | template<class T>
|
---|
| 762 | T abs(const complex<T>& c)
|
---|
| 763 | {
|
---|
| 764 | return c.real() * c.real() + c.imag() * c.imag();
|
---|
| 765 | }
|
---|
| 766 |
|
---|
| 767 | template<class T>
|
---|
| 768 | T arg(const complex<T>& c)
|
---|
| 769 | {
|
---|
| 770 | // TODO: implement
|
---|
[7dcce0a] | 771 | __unimplemented();
|
---|
[8794d16] | 772 | return c;
|
---|
| 773 | }
|
---|
| 774 |
|
---|
| 775 | template<class T>
|
---|
| 776 | T norm(const complex<T>& c)
|
---|
| 777 | {
|
---|
| 778 | return abs(c) * abs(c);
|
---|
| 779 | }
|
---|
| 780 |
|
---|
| 781 | template<class T>
|
---|
| 782 | complex<T> conj(const complex<T>& c)
|
---|
| 783 | {
|
---|
| 784 | // TODO: implement
|
---|
[7dcce0a] | 785 | __unimplemented();
|
---|
[8794d16] | 786 | return c;
|
---|
| 787 | }
|
---|
| 788 |
|
---|
| 789 | template<class T>
|
---|
| 790 | complex<T> proj(const complex<T>& c)
|
---|
| 791 | {
|
---|
| 792 | // TODO: implement
|
---|
[7dcce0a] | 793 | __unimplemented();
|
---|
[8794d16] | 794 | return c;
|
---|
| 795 | }
|
---|
| 796 |
|
---|
| 797 | template<class T>
|
---|
| 798 | complex<T> polar(const T&, const T& = T{})
|
---|
| 799 | {
|
---|
| 800 | // TODO: implement
|
---|
[7dcce0a] | 801 | __unimplemented();
|
---|
[8794d16] | 802 | return complex<T>{};
|
---|
| 803 | }
|
---|
| 804 |
|
---|
| 805 | /**
|
---|
| 806 | * 26.4.8, transcendentals:
|
---|
| 807 | */
|
---|
| 808 |
|
---|
| 809 | template<class T>
|
---|
| 810 | complex<T> acos(const complex<T>& c)
|
---|
| 811 | {
|
---|
| 812 | // TODO: implement
|
---|
[7dcce0a] | 813 | __unimplemented();
|
---|
[8794d16] | 814 | return c;
|
---|
| 815 | }
|
---|
| 816 |
|
---|
| 817 | template<class T>
|
---|
| 818 | complex<T> asin(const complex<T>& c)
|
---|
| 819 | {
|
---|
| 820 | // TODO: implement
|
---|
[7dcce0a] | 821 | __unimplemented();
|
---|
[8794d16] | 822 | return c;
|
---|
| 823 | }
|
---|
| 824 |
|
---|
| 825 | template<class T>
|
---|
| 826 | complex<T> atan(const complex<T>& c)
|
---|
| 827 | {
|
---|
| 828 | // TODO: implement
|
---|
[7dcce0a] | 829 | __unimplemented();
|
---|
[8794d16] | 830 | return c;
|
---|
| 831 | }
|
---|
| 832 |
|
---|
| 833 | template<class T>
|
---|
| 834 | complex<T> acosh(const complex<T>& c)
|
---|
| 835 | {
|
---|
| 836 | // TODO: implement
|
---|
[7dcce0a] | 837 | __unimplemented();
|
---|
[8794d16] | 838 | return c;
|
---|
| 839 | }
|
---|
| 840 |
|
---|
| 841 | template<class T>
|
---|
| 842 | complex<T> asinh(const complex<T>& c)
|
---|
| 843 | {
|
---|
| 844 | // TODO: implement
|
---|
[7dcce0a] | 845 | __unimplemented();
|
---|
[8794d16] | 846 | return c;
|
---|
| 847 | }
|
---|
| 848 |
|
---|
| 849 | template<class T>
|
---|
| 850 | complex<T> atanh(const complex<T>& c)
|
---|
| 851 | {
|
---|
| 852 | // TODO: implement
|
---|
[7dcce0a] | 853 | __unimplemented();
|
---|
[8794d16] | 854 | return c;
|
---|
| 855 | }
|
---|
| 856 |
|
---|
| 857 | template<class T>
|
---|
| 858 | complex<T> cos(const complex<T>& c)
|
---|
| 859 | {
|
---|
| 860 | // TODO: implement
|
---|
[7dcce0a] | 861 | __unimplemented();
|
---|
[8794d16] | 862 | return c;
|
---|
| 863 | }
|
---|
| 864 |
|
---|
| 865 | template<class T>
|
---|
| 866 | complex<T> cosh(const complex<T>& c)
|
---|
| 867 | {
|
---|
| 868 | // TODO: implement
|
---|
[7dcce0a] | 869 | __unimplemented();
|
---|
[8794d16] | 870 | return c;
|
---|
| 871 | }
|
---|
| 872 |
|
---|
| 873 | template<class T>
|
---|
| 874 | complex<T> exp(const complex<T>& c)
|
---|
| 875 | {
|
---|
| 876 | // TODO: implement
|
---|
[7dcce0a] | 877 | __unimplemented();
|
---|
[8794d16] | 878 | return c;
|
---|
| 879 | }
|
---|
| 880 |
|
---|
| 881 | template<class T>
|
---|
| 882 | complex<T> log(const complex<T>& c)
|
---|
| 883 | {
|
---|
| 884 | // TODO: implement
|
---|
[7dcce0a] | 885 | __unimplemented();
|
---|
[8794d16] | 886 | return c;
|
---|
| 887 | }
|
---|
| 888 |
|
---|
| 889 | template<class T>
|
---|
| 890 | complex<T> log10(const complex<T>& c)
|
---|
| 891 | {
|
---|
| 892 | // TODO: implement
|
---|
[7dcce0a] | 893 | __unimplemented();
|
---|
[8794d16] | 894 | return c;
|
---|
| 895 | }
|
---|
| 896 |
|
---|
| 897 | template<class T>
|
---|
| 898 | complex<T> pow(const complex<T>& base, const T& exp)
|
---|
| 899 | {
|
---|
| 900 | // TODO: implement
|
---|
[7dcce0a] | 901 | __unimplemented();
|
---|
[8794d16] | 902 | return base;
|
---|
| 903 | }
|
---|
| 904 |
|
---|
| 905 | template<class T>
|
---|
| 906 | complex<T> pow(const complex<T>& base, const complex<T>& exp)
|
---|
| 907 | {
|
---|
| 908 | // TODO: implement
|
---|
[7dcce0a] | 909 | __unimplemented();
|
---|
[8794d16] | 910 | return base;
|
---|
| 911 | }
|
---|
| 912 |
|
---|
| 913 | template<class T>
|
---|
| 914 | complex<T> pow(const T& base, const complex<T>& exp)
|
---|
| 915 | {
|
---|
| 916 | // TODO: implement
|
---|
[7dcce0a] | 917 | __unimplemented();
|
---|
[8794d16] | 918 | return complex<T>{base};
|
---|
| 919 | }
|
---|
| 920 |
|
---|
| 921 | template<class T>
|
---|
| 922 | complex<T> sin(const complex<T>& c)
|
---|
| 923 | {
|
---|
| 924 | // TODO: implement
|
---|
[7dcce0a] | 925 | __unimplemented();
|
---|
[8794d16] | 926 | return c;
|
---|
| 927 | }
|
---|
| 928 |
|
---|
| 929 | template<class T>
|
---|
| 930 | complex<T> sinh(const complex<T>& c)
|
---|
| 931 | {
|
---|
| 932 | // TODO: implement
|
---|
[7dcce0a] | 933 | __unimplemented();
|
---|
[8794d16] | 934 | return c;
|
---|
| 935 | }
|
---|
| 936 |
|
---|
| 937 | template<class T>
|
---|
| 938 | complex<T> sqrt(const complex<T>& c)
|
---|
| 939 | {
|
---|
| 940 | // TODO: implement
|
---|
[7dcce0a] | 941 | __unimplemented();
|
---|
[8794d16] | 942 | return c;
|
---|
| 943 | }
|
---|
| 944 |
|
---|
| 945 | template<class T>
|
---|
| 946 | complex<T> tan(const complex<T>& c)
|
---|
| 947 | {
|
---|
| 948 | // TODO: implement
|
---|
[7dcce0a] | 949 | __unimplemented();
|
---|
[8794d16] | 950 | return c;
|
---|
| 951 | }
|
---|
| 952 |
|
---|
| 953 | template<class T>
|
---|
| 954 | complex<T> tanh(const complex<T>& c)
|
---|
| 955 | {
|
---|
| 956 | // TODO: implement
|
---|
[7dcce0a] | 957 | __unimplemented();
|
---|
[8794d16] | 958 | return c;
|
---|
| 959 | }
|
---|
| 960 |
|
---|
| 961 | /**
|
---|
| 962 | * 26.4.10, complex literals:
|
---|
| 963 | */
|
---|
| 964 |
|
---|
| 965 | #pragma GCC diagnostic push
|
---|
| 966 | #pragma GCC diagnostic ignored "-Wliteral-suffix"
|
---|
| 967 | inline namespace literals {
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| 968 | inline namespace complex_literals
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| 969 | {
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| 970 | constexpr complex<long double> operator ""il(long double val)
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| 971 | {
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| 972 | return complex<long double>{0.0L, val};
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| 973 | }
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| 974 |
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| 975 | constexpr complex<long double> operator ""il(unsigned long long val)
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| 976 | {
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| 977 | return complex<long double>{0.0L, static_cast<long double>(val)};
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| 978 | }
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| 979 |
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| 980 | constexpr complex<double> operator ""i(long double val)
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| 981 | {
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| 982 | return complex<double>{0.0, static_cast<double>(val)};
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| 983 | }
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| 984 |
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| 985 | constexpr complex<double> operator ""i(unsigned long long val)
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| 986 | {
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| 987 | return complex<double>{0.0, static_cast<double>(val)};
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| 988 | }
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| 989 |
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| 990 | constexpr complex<float> operator ""if(long double val)
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| 991 | {
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| 992 | return complex<float>{0.0f, static_cast<float>(val)};
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| 993 | }
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| 994 |
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| 995 | constexpr complex<float> operator ""if(unsigned long long val)
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| 996 | {
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| 997 | return complex<float>{0.0f, static_cast<float>(val)};
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| 998 | }
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| 999 | }}
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| 1000 | #pragma GCC diagnostic pop
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| 1001 | }
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[13f7525] | 1002 |
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| 1003 | #endif
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