Files
adler32
aho_corasick
alga
approx
ascii
atty
backtrace
backtrace_sys
base64
bitflags
blas_src
block_buffer
block_padding
brotli2
brotli_sys
buf_redux
byte_tools
byteorder
cauchy
cblas_sys
cfg_if
chrono
chunked_transfer
colored
crc32fast
crossbeam
crossbeam_channel
crossbeam_deque
crossbeam_epoch
crossbeam_queue
crossbeam_utils
ctrlc
deflate
digest
dirs
error_chain
filetime
futures
generic_array
getrandom
gzip_header
hex
httparse
hyper
idna
itoa
language_tags
lapack_src
lapacke
lapacke_sys
lazy_static
libc
libm
linked_hash_map
log
matches
matrixmultiply
maybe_uninit
md5
memchr
memoffset
mime
mime_guess
multipart
nalgebra
base
geometry
linalg
ndarray
ndarray_linalg
net2
netlib_src
nix
num_complex
num_cpus
num_integer
num_rational
num_traits
opaque_debug
percent_encoding
phf
phf_shared
ppv_lite86
proc_macro2
quick_error
quote
rand
rand_chacha
rand_core
rand_distr
rawpointer
regex
regex_syntax
remove_dir_all
rosrust
rosrust_codegen
rosrust_msg
rouille
rustc_demangle
rustros_tf
ryu
safemem
scopeguard
serde
serde_bytes
serde_derive
serde_json
serde_xml_rs
sha1
siphasher
smallvec
syn
tempdir
term
thread_local
threadpool
time
tiny_http
traitobject
twoway
typeable
typenum
ucd_util
unicase
unicode_bidi
unicode_normalization
unicode_xid
url
utf8_ranges
void
xml
xml_rpc
yaml_rust
 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
//! Singular-value decomposition (SVD) by divide-and-conquer (?gesdd)

use ndarray::*;

use super::convert::*;
use super::error::*;
use super::layout::*;
use super::types::*;

#[derive(Clone, Copy, Eq, PartialEq)]
#[repr(u8)]
pub enum UVTFlag {
    Full = b'A',
    Some = b'S',
    None = b'N',
}

/// Singular-value decomposition of matrix (copying) by divide-and-conquer
pub trait SVDDC {
    type U;
    type VT;
    type Sigma;
    fn svddc(&self, uvt_flag: UVTFlag) -> Result<(Option<Self::U>, Self::Sigma, Option<Self::VT>)>;
}

/// Singular-value decomposition of matrix by divide-and-conquer
pub trait SVDDCInto {
    type U;
    type VT;
    type Sigma;
    fn svddc_into(self, uvt_flag: UVTFlag) -> Result<(Option<Self::U>, Self::Sigma, Option<Self::VT>)>;
}

/// Singular-value decomposition of matrix reference by divide-and-conquer
pub trait SVDDCInplace {
    type U;
    type VT;
    type Sigma;
    fn svddc_inplace(&mut self, uvt_flag: UVTFlag) -> Result<(Option<Self::U>, Self::Sigma, Option<Self::VT>)>;
}

impl<A, S> SVDDC for ArrayBase<S, Ix2>
where
    A: Scalar + Lapack,
    S: DataMut<Elem = A>,
{
    type U = Array2<A>;
    type VT = Array2<A>;
    type Sigma = Array1<A::Real>;

    fn svddc(&self, uvt_flag: UVTFlag) -> Result<(Option<Self::U>, Self::Sigma, Option<Self::VT>)> {
        self.to_owned().svddc_into(uvt_flag)
    }
}

impl<A, S> SVDDCInto for ArrayBase<S, Ix2>
where
    A: Scalar + Lapack,
    S: DataMut<Elem = A>,
{
    type U = Array2<A>;
    type VT = Array2<A>;
    type Sigma = Array1<A::Real>;

    fn svddc_into(mut self, uvt_flag: UVTFlag) -> Result<(Option<Self::U>, Self::Sigma, Option<Self::VT>)> {
        self.svddc_inplace(uvt_flag)
    }
}

impl<A, S> SVDDCInplace for ArrayBase<S, Ix2>
where
    A: Scalar + Lapack,
    S: DataMut<Elem = A>,
{
    type U = Array2<A>;
    type VT = Array2<A>;
    type Sigma = Array1<A::Real>;

    fn svddc_inplace(&mut self, uvt_flag: UVTFlag) -> Result<(Option<Self::U>, Self::Sigma, Option<Self::VT>)> {
        let l = self.layout()?;
        let svd_res = unsafe { A::svddc(l, uvt_flag, self.as_allocated_mut()?)? };
        let (m, n) = l.size();
        let k = m.min(n);
        let (ldu, tdu, ldvt, tdvt) = match uvt_flag {
            UVTFlag::Full => (m, m, n, n),
            UVTFlag::Some => (m, k, k, n),
            UVTFlag::None => (1, 1, 1, 1),
        };
        let u = svd_res
            .u
            .map(|u| into_matrix(l.resized(ldu, tdu), u).expect("Size of U mismatches"));
        let vt = svd_res
            .vt
            .map(|vt| into_matrix(l.resized(ldvt, tdvt), vt).expect("Size of VT mismatches"));
        let s = ArrayBase::from(svd_res.s);
        Ok((u, s, vt))
    }
}