1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
use crate::{ffi, types::any::PyAnyMethods, Bound, PyAny, PyNativeType, Python};
use std::os::raw::c_double;

/// Represents a Python [`complex`](https://docs.python.org/3/library/functions.html#complex) object.
///
/// Note that `PyComplex` supports only basic operations. For advanced operations
/// consider using [num-complex](https://docs.rs/num-complex)'s [`Complex`] type instead.
/// This optional dependency can be activated with the `num-complex` feature flag.
///
/// [`Complex`]: https://docs.rs/num-complex/latest/num_complex/struct.Complex.html
#[repr(transparent)]
pub struct PyComplex(PyAny);

pyobject_native_type!(
PyComplex,
ffi::PyComplexObject,
pyobject_native_static_type_object!(ffi::PyComplex_Type),
#checkfunction=ffi::PyComplex_Check
);

impl PyComplex {
/// Deprecated form of [`PyComplex::from_doubles_bound`]
#[cfg_attr(
not(feature = "gil-refs"),
deprecated(
since = "0.21.0",
note = "`PyComplex::from_doubles` will be replaced by `PyComplex::from_doubles_bound` in a future PyO3 version"
)
)]
pub fn from_doubles(py: Python<'_>, real: c_double, imag: c_double) -> &PyComplex {
Self::from_doubles_bound(py, real, imag).into_gil_ref()
}
/// Creates a new `PyComplex` from the given real and imaginary values.
pub fn from_doubles_bound(
py: Python<'_>,
real: c_double,
imag: c_double,
) -> Bound<'_, PyComplex> {
use crate::ffi_ptr_ext::FfiPtrExt;
unsafe {
ffi::PyComplex_FromDoubles(real, imag)
.assume_owned(py)
.downcast_into_unchecked()
}
}
/// Returns the real part of the complex number.
pub fn real(&self) -> c_double {
self.as_borrowed().real()
}
/// Returns the imaginary part of the complex number.
pub fn imag(&self) -> c_double {
self.as_borrowed().imag()
}
}

#[cfg(not(any(Py_LIMITED_API, PyPy)))]
mod not_limited_impls {
use crate::ffi_ptr_ext::FfiPtrExt;
use crate::Borrowed;

use super::*;
use std::ops::{Add, Div, Mul, Neg, Sub};

impl PyComplex {
/// Returns `|self|`.
pub fn abs(&self) -> c_double {
self.as_borrowed().abs()
}
/// Returns `self` raised to the power of `other`.
pub fn pow<'py>(&'py self, other: &'py PyComplex) -> &'py PyComplex {
self.as_borrowed().pow(&other.as_borrowed()).into_gil_ref()
}
}

#[inline(always)]
pub(super) unsafe fn complex_operation<'py>(
l: Borrowed<'_, 'py, PyComplex>,
r: Borrowed<'_, 'py, PyComplex>,
operation: unsafe extern "C" fn(ffi::Py_complex, ffi::Py_complex) -> ffi::Py_complex,
) -> *mut ffi::PyObject {
let l_val = (*l.as_ptr().cast::<ffi::PyComplexObject>()).cval;
let r_val = (*r.as_ptr().cast::<ffi::PyComplexObject>()).cval;
ffi::PyComplex_FromCComplex(operation(l_val, r_val))
}

macro_rules! bin_ops {
(\$trait:ident, \$fn:ident, \$op:tt, \$ffi:path) => {
impl<'py> \$trait for Borrowed<'_, 'py, PyComplex> {
type Output = Bound<'py, PyComplex>;
fn \$fn(self, other: Self) -> Self::Output {
unsafe {
complex_operation(self, other, \$ffi)
.assume_owned(self.py())
.downcast_into_unchecked()
}
}
}

impl<'py> \$trait for &'py PyComplex {
type Output = &'py PyComplex;
fn \$fn(self, other: &'py PyComplex) -> &'py PyComplex {
(self.as_borrowed() \$op other.as_borrowed()).into_gil_ref()
}
}

impl<'py> \$trait for &Bound<'py, PyComplex> {
type Output = Bound<'py, PyComplex>;
fn \$fn(self, other: &Bound<'py, PyComplex>) -> Bound<'py, PyComplex> {
self.as_borrowed() \$op other.as_borrowed()
}
}

impl<'py> \$trait<Bound<'py, PyComplex>> for &Bound<'py, PyComplex> {
type Output = Bound<'py, PyComplex>;
fn \$fn(self, other: Bound<'py, PyComplex>) -> Bound<'py, PyComplex> {
self.as_borrowed() \$op other.as_borrowed()
}
}

impl<'py> \$trait for Bound<'py, PyComplex> {
type Output = Bound<'py, PyComplex>;
fn \$fn(self, other: Bound<'py, PyComplex>) -> Bound<'py, PyComplex> {
self.as_borrowed() \$op other.as_borrowed()
}
}

impl<'py> \$trait<&Self> for Bound<'py, PyComplex> {
type Output = Bound<'py, PyComplex>;
fn \$fn(self, other: &Bound<'py, PyComplex>) -> Bound<'py, PyComplex> {
self.as_borrowed() \$op other.as_borrowed()
}
}
};
}

bin_ops!(Sub, sub, -, ffi::_Py_c_diff);
bin_ops!(Mul, mul, *, ffi::_Py_c_prod);
bin_ops!(Div, div, /, ffi::_Py_c_quot);

impl<'py> Neg for &'py PyComplex {
type Output = &'py PyComplex;
fn neg(self) -> &'py PyComplex {
(-self.as_borrowed()).into_gil_ref()
}
}

impl<'py> Neg for Borrowed<'_, 'py, PyComplex> {
type Output = Bound<'py, PyComplex>;
fn neg(self) -> Self::Output {
unsafe {
let val = (*self.as_ptr().cast::<ffi::PyComplexObject>()).cval;
ffi::PyComplex_FromCComplex(ffi::_Py_c_neg(val))
.assume_owned(self.py())
.downcast_into_unchecked()
}
}
}

impl<'py> Neg for &Bound<'py, PyComplex> {
type Output = Bound<'py, PyComplex>;
fn neg(self) -> Bound<'py, PyComplex> {
-self.as_borrowed()
}
}

impl<'py> Neg for Bound<'py, PyComplex> {
type Output = Bound<'py, PyComplex>;
fn neg(self) -> Bound<'py, PyComplex> {
-self.as_borrowed()
}
}

#[cfg(test)]
mod tests {
use super::PyComplex;
use crate::{types::complex::PyComplexMethods, Python};
use assert_approx_eq::assert_approx_eq;

#[test]
Python::with_gil(|py| {
let l = PyComplex::from_doubles_bound(py, 3.0, 1.2);
let r = PyComplex::from_doubles_bound(py, 1.0, 2.6);
let res = l + r;
assert_approx_eq!(res.real(), 4.0);
assert_approx_eq!(res.imag(), 3.8);
});
}

#[test]
fn test_sub() {
Python::with_gil(|py| {
let l = PyComplex::from_doubles_bound(py, 3.0, 1.2);
let r = PyComplex::from_doubles_bound(py, 1.0, 2.6);
let res = l - r;
assert_approx_eq!(res.real(), 2.0);
assert_approx_eq!(res.imag(), -1.4);
});
}

#[test]
fn test_mul() {
Python::with_gil(|py| {
let l = PyComplex::from_doubles_bound(py, 3.0, 1.2);
let r = PyComplex::from_doubles_bound(py, 1.0, 2.6);
let res = l * r;
assert_approx_eq!(res.real(), -0.12);
assert_approx_eq!(res.imag(), 9.0);
});
}

#[test]
fn test_div() {
Python::with_gil(|py| {
let l = PyComplex::from_doubles_bound(py, 3.0, 1.2);
let r = PyComplex::from_doubles_bound(py, 1.0, 2.6);
let res = l / r;
assert_approx_eq!(res.real(), 0.788_659_793_814_432_9);
assert_approx_eq!(res.imag(), -0.850_515_463_917_525_7);
});
}

#[test]
fn test_neg() {
Python::with_gil(|py| {
let val = PyComplex::from_doubles_bound(py, 3.0, 1.2);
let res = -val;
assert_approx_eq!(res.real(), -3.0);
assert_approx_eq!(res.imag(), -1.2);
});
}

#[test]
fn test_abs() {
Python::with_gil(|py| {
let val = PyComplex::from_doubles_bound(py, 3.0, 1.2);
assert_approx_eq!(val.abs(), 3.231_098_884_280_702_2);
});
}

#[test]
fn test_pow() {
Python::with_gil(|py| {
let l = PyComplex::from_doubles_bound(py, 3.0, 1.2);
let r = PyComplex::from_doubles_bound(py, 1.2, 2.6);
let val = l.pow(&r);
assert_approx_eq!(val.real(), -1.419_309_997_016_603_7);
assert_approx_eq!(val.imag(), -0.541_297_466_033_544_6);
});
}
}
}

/// Implementation of functionality for [`PyComplex`].
///
/// These methods are defined for the `Bound<'py, PyComplex>` smart pointer, so to use method call
/// syntax these methods are separated into a trait, because stable Rust does not yet support
/// `arbitrary_self_types`.
#[doc(alias = "PyComplex")]
pub trait PyComplexMethods<'py>: crate::sealed::Sealed {
/// Returns the real part of the complex number.
fn real(&self) -> c_double;
/// Returns the imaginary part of the complex number.
fn imag(&self) -> c_double;
/// Returns `|self|`.
#[cfg(not(any(Py_LIMITED_API, PyPy)))]
fn abs(&self) -> c_double;
/// Returns `self` raised to the power of `other`.
#[cfg(not(any(Py_LIMITED_API, PyPy)))]
fn pow(&self, other: &Bound<'py, PyComplex>) -> Bound<'py, PyComplex>;
}

impl<'py> PyComplexMethods<'py> for Bound<'py, PyComplex> {
fn real(&self) -> c_double {
unsafe { ffi::PyComplex_RealAsDouble(self.as_ptr()) }
}

fn imag(&self) -> c_double {
unsafe { ffi::PyComplex_ImagAsDouble(self.as_ptr()) }
}

#[cfg(not(any(Py_LIMITED_API, PyPy)))]
fn abs(&self) -> c_double {
unsafe {
let val = (*self.as_ptr().cast::<ffi::PyComplexObject>()).cval;
ffi::_Py_c_abs(val)
}
}

#[cfg(not(any(Py_LIMITED_API, PyPy)))]
fn pow(&self, other: &Bound<'py, PyComplex>) -> Bound<'py, PyComplex> {
use crate::ffi_ptr_ext::FfiPtrExt;
unsafe {
not_limited_impls::complex_operation(
self.as_borrowed(),
other.as_borrowed(),
ffi::_Py_c_pow,
)
.assume_owned(self.py())
.downcast_into_unchecked()
}
}
}

#[cfg(test)]
mod tests {
use super::PyComplex;
use crate::{types::complex::PyComplexMethods, Python};
use assert_approx_eq::assert_approx_eq;

#[test]
fn test_from_double() {
use assert_approx_eq::assert_approx_eq;

Python::with_gil(|py| {
let complex = PyComplex::from_doubles_bound(py, 3.0, 1.2);
assert_approx_eq!(complex.real(), 3.0);
assert_approx_eq!(complex.imag(), 1.2);
});
}
}