Renovate math.blas.vectors to build off of functors and specialized-arrays. Add complex and complex-components sequence wrappers. Fix small bug in functors

db4
Joe Groff 2008-12-04 13:40:55 -08:00
parent d4071b08e4
commit f990647d67
16 changed files with 395 additions and 276 deletions

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@ -17,7 +17,7 @@ IN: functors
scan-param parsed scan-param parsed
scan { scan {
{ ";" [ tuple parsed f parsed ] } { ";" [ tuple parsed f parsed ] }
{ "<" [ scan-param [ parse-tuple-slots ] { } make parsed ] } { "<" [ scan-param parsed [ parse-tuple-slots ] { } make parsed ] }
[ [
[ tuple parsed ] dip [ tuple parsed ] dip
[ parse-slot-name [ parse-tuple-slots ] when ] { } [ parse-slot-name [ parse-tuple-slots ] when ] { }

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@ -34,10 +34,10 @@ TYPEDEF: int CBLAS_SIDE
TYPEDEF: int CBLAS_INDEX TYPEDEF: int CBLAS_INDEX
C-STRUCT: CBLAS_C C-STRUCT: float-complex
{ "float" "real" } { "float" "real" }
{ "float" "imag" } ; { "float" "imag" } ;
C-STRUCT: CBLAS_Z C-STRUCT: double-complex
{ "double" "real" } { "double" "real" }
{ "double" "imag" } ; { "double" "imag" } ;
@ -53,14 +53,14 @@ FUNCTION: double cblas_ddot
( int N, double* X, int incX, double* Y, int incY ) ; ( int N, double* X, int incX, double* Y, int incY ) ;
FUNCTION: void cblas_cdotu_sub FUNCTION: void cblas_cdotu_sub
( int N, CBLAS_C* X, int incX, CBLAS_C* Y, int incY, CBLAS_C* dotu ) ; ( int N, void* X, int incX, void* Y, int incY, void* dotu ) ;
FUNCTION: void cblas_cdotc_sub FUNCTION: void cblas_cdotc_sub
( int N, CBLAS_C* X, int incX, CBLAS_C* Y, int incY, CBLAS_C* dotc ) ; ( int N, void* X, int incX, void* Y, int incY, void* dotc ) ;
FUNCTION: void cblas_zdotu_sub FUNCTION: void cblas_zdotu_sub
( int N, CBLAS_Z* X, int incX, CBLAS_Z* Y, int incY, CBLAS_Z* dotu ) ; ( int N, void* X, int incX, void* Y, int incY, void* dotu ) ;
FUNCTION: void cblas_zdotc_sub FUNCTION: void cblas_zdotc_sub
( int N, CBLAS_Z* X, int incX, CBLAS_Z* Y, int incY, CBLAS_Z* dotc ) ; ( int N, void* X, int incX, void* Y, int incY, void* dotc ) ;
FUNCTION: float cblas_snrm2 FUNCTION: float cblas_snrm2
( int N, float* X, int incX ) ; ( int N, float* X, int incX ) ;
@ -73,23 +73,23 @@ FUNCTION: double cblas_dasum
( int N, double* X, int incX ) ; ( int N, double* X, int incX ) ;
FUNCTION: float cblas_scnrm2 FUNCTION: float cblas_scnrm2
( int N, CBLAS_C* X, int incX ) ; ( int N, void* X, int incX ) ;
FUNCTION: float cblas_scasum FUNCTION: float cblas_scasum
( int N, CBLAS_C* X, int incX ) ; ( int N, void* X, int incX ) ;
FUNCTION: double cblas_dznrm2 FUNCTION: double cblas_dznrm2
( int N, CBLAS_Z* X, int incX ) ; ( int N, void* X, int incX ) ;
FUNCTION: double cblas_dzasum FUNCTION: double cblas_dzasum
( int N, CBLAS_Z* X, int incX ) ; ( int N, void* X, int incX ) ;
FUNCTION: CBLAS_INDEX cblas_isamax FUNCTION: CBLAS_INDEX cblas_isamax
( int N, float* X, int incX ) ; ( int N, float* X, int incX ) ;
FUNCTION: CBLAS_INDEX cblas_idamax FUNCTION: CBLAS_INDEX cblas_idamax
( int N, double* X, int incX ) ; ( int N, double* X, int incX ) ;
FUNCTION: CBLAS_INDEX cblas_icamax FUNCTION: CBLAS_INDEX cblas_icamax
( int N, CBLAS_C* X, int incX ) ; ( int N, void* X, int incX ) ;
FUNCTION: CBLAS_INDEX cblas_izamax FUNCTION: CBLAS_INDEX cblas_izamax
( int N, CBLAS_Z* X, int incX ) ; ( int N, void* X, int incX ) ;
FUNCTION: void cblas_sswap FUNCTION: void cblas_sswap
( int N, float* X, int incX, float* Y, int incY ) ; ( int N, float* X, int incX, float* Y, int incY ) ;
@ -106,31 +106,31 @@ FUNCTION: void cblas_daxpy
( int N, double alpha, double* X, int incX, double* Y, int incY ) ; ( int N, double alpha, double* X, int incX, double* Y, int incY ) ;
FUNCTION: void cblas_cswap FUNCTION: void cblas_cswap
( int N, CBLAS_C* X, int incX, CBLAS_C* Y, int incY ) ; ( int N, void* X, int incX, void* Y, int incY ) ;
FUNCTION: void cblas_ccopy FUNCTION: void cblas_ccopy
( int N, CBLAS_C* X, int incX, CBLAS_C* Y, int incY ) ; ( int N, void* X, int incX, void* Y, int incY ) ;
FUNCTION: void cblas_caxpy FUNCTION: void cblas_caxpy
( int N, CBLAS_C* alpha, CBLAS_C* X, int incX, CBLAS_C* Y, int incY ) ; ( int N, void* alpha, void* X, int incX, void* Y, int incY ) ;
FUNCTION: void cblas_zswap FUNCTION: void cblas_zswap
( int N, CBLAS_Z* X, int incX, CBLAS_Z* Y, int incY ) ; ( int N, void* X, int incX, void* Y, int incY ) ;
FUNCTION: void cblas_zcopy FUNCTION: void cblas_zcopy
( int N, CBLAS_Z* X, int incX, CBLAS_Z* Y, int incY ) ; ( int N, void* X, int incX, void* Y, int incY ) ;
FUNCTION: void cblas_zaxpy FUNCTION: void cblas_zaxpy
( int N, CBLAS_Z* alpha, CBLAS_Z* X, int incX, CBLAS_Z* Y, int incY ) ; ( int N, void* alpha, void* X, int incX, void* Y, int incY ) ;
FUNCTION: void cblas_sscal FUNCTION: void cblas_sscal
( int N, float alpha, float* X, int incX ) ; ( int N, float alpha, float* X, int incX ) ;
FUNCTION: void cblas_dscal FUNCTION: void cblas_dscal
( int N, double alpha, double* X, int incX ) ; ( int N, double alpha, double* X, int incX ) ;
FUNCTION: void cblas_cscal FUNCTION: void cblas_cscal
( int N, CBLAS_C* alpha, CBLAS_C* X, int incX ) ; ( int N, void* alpha, void* X, int incX ) ;
FUNCTION: void cblas_zscal FUNCTION: void cblas_zscal
( int N, CBLAS_Z* alpha, CBLAS_Z* X, int incX ) ; ( int N, void* alpha, void* X, int incX ) ;
FUNCTION: void cblas_csscal FUNCTION: void cblas_csscal
( int N, float alpha, CBLAS_C* X, int incX ) ; ( int N, float alpha, void* X, int incX ) ;
FUNCTION: void cblas_zdscal FUNCTION: void cblas_zdscal
( int N, double alpha, CBLAS_Z* X, int incX ) ; ( int N, double alpha, void* X, int incX ) ;
FUNCTION: void cblas_srotg FUNCTION: void cblas_srotg
( float* a, float* b, float* c, float* s ) ; ( float* a, float* b, float* c, float* s ) ;

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@ -37,7 +37,7 @@ HELP: blas-vector-base
} }
"All of these subclasses share the same tuple layout:" "All of these subclasses share the same tuple layout:"
{ $list { $list
{ { $snippet "data" } " contains an alien pointer referencing or byte-array containing a packed array of float, double, float complex, or double complex values;" } { { $snippet "underlying" } " contains an alien pointer referencing or byte-array containing a packed array of float, double, float complex, or double complex values;" }
{ { $snippet "length" } " indicates the length of the vector;" } { { $snippet "length" } " indicates the length of the vector;" }
{ "and " { $snippet "inc" } " indicates the distance, in elements, between elements." } { "and " { $snippet "inc" } " indicates the distance, in elements, between elements." }
} } ; } } ;

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@ -1,231 +1,77 @@
USING: accessors alien alien.c-types arrays byte-arrays combinators USING: accessors alien alien.c-types arrays byte-arrays combinators
combinators.short-circuit fry kernel macros math math.blas.cblas combinators.short-circuit fry kernel math math.blas.cblas
math.complex math.functions math.order multi-methods qualified math.complex math.functions math.order sequences.complex
sequences sequences.private generalizations sequences.complex-components sequences sequences.private
generalizations functors words locals
specialized-arrays.float specialized-arrays.double specialized-arrays.float specialized-arrays.double
specialized-arrays.direct.float specialized-arrays.direct.double ; specialized-arrays.direct.float specialized-arrays.direct.double ;
QUALIFIED: syntax
IN: math.blas.vectors IN: math.blas.vectors
TUPLE: blas-vector-base data length inc ; TUPLE: blas-vector-base underlying length inc ;
TUPLE: float-blas-vector < blas-vector-base ;
TUPLE: double-blas-vector < blas-vector-base ;
TUPLE: float-complex-blas-vector < blas-vector-base ;
TUPLE: double-complex-blas-vector < blas-vector-base ;
INSTANCE: float-blas-vector sequence INSTANCE: blas-vector-base virtual-sequence
INSTANCE: double-blas-vector sequence
INSTANCE: float-complex-blas-vector sequence
INSTANCE: double-complex-blas-vector sequence
C: <float-blas-vector> float-blas-vector GENERIC: element-type ( v -- type )
C: <double-blas-vector> double-blas-vector
C: <float-complex-blas-vector> float-complex-blas-vector
C: <double-complex-blas-vector> double-complex-blas-vector
GENERIC: n*V+V! ( alpha x y -- y=alpha*x+y ) GENERIC: n*V+V! ( alpha x y -- y=alpha*x+y )
GENERIC: n*V! ( alpha x -- x=alpha*x ) GENERIC: n*V! ( alpha x -- x=alpha*x )
GENERIC: V. ( x y -- x.y ) GENERIC: V. ( x y -- x.y )
GENERIC: V.conj ( x y -- xconj.y ) GENERIC: V.conj ( x y -- xconj.y )
GENERIC: Vnorm ( x -- norm ) GENERIC: Vnorm ( x -- norm )
GENERIC: Vasum ( x -- sum ) GENERIC: Vasum ( x -- sum )
GENERIC: Vswap ( x y -- x=y y=x ) GENERIC: Vswap ( x y -- x=y y=x )
GENERIC: Viamax ( x -- max-i ) GENERIC: Viamax ( x -- max-i )
GENERIC: element-type ( v -- type )
METHOD: element-type { float-blas-vector }
drop "float" ;
METHOD: element-type { double-blas-vector }
drop "double" ;
METHOD: element-type { float-complex-blas-vector }
drop "CBLAS_C" ;
METHOD: element-type { double-complex-blas-vector }
drop "CBLAS_Z" ;
<PRIVATE <PRIVATE
GENERIC: (blas-vector-like) ( data length inc exemplar -- vector ) GENERIC: (blas-vector-like) ( data length inc exemplar -- vector )
METHOD: (blas-vector-like) { object object object float-blas-vector } GENERIC: (blas-direct-array) ( blas-vector -- direct-array )
drop <float-blas-vector> ;
METHOD: (blas-vector-like) { object object object double-blas-vector }
drop <double-blas-vector> ;
METHOD: (blas-vector-like) { object object object float-complex-blas-vector }
drop <float-complex-blas-vector> ;
METHOD: (blas-vector-like) { object object object double-complex-blas-vector }
drop <double-complex-blas-vector> ;
: (prepare-copy) ( v element-size -- length v-data v-inc v-dest-data v-dest-inc ) : shorter-length ( v1 v2 -- length )
[ [ length>> ] [ data>> ] [ inc>> ] tri ] dip [ length>> ] bi@ min ; inline
4 npick * <byte-array> : data-and-inc ( v -- data inc )
1 ; [ underlying>> ] [ inc>> ] bi ; inline
: datas-and-incs ( v1 v2 -- v1-data v1-inc v2-data v2-inc )
[ data-and-inc ] bi@ ; inline
MACRO: (do-copy) ( copy make-vector -- ) :: (prepare-copy)
'[ over 6 npick _ 2dip 1 @ ] ; ( v element-size -- length v-data v-inc v-dest-data v-dest-inc
copy-data copy-length copy-inc )
v [ length>> ] [ data-and-inc ] bi
v length>> element-size * <byte-array>
1
over v length>> 1 ;
: (prepare-swap) ( v1 v2 -- length v1-data v1-inc v2-data v2-inc v1 v2 ) : (prepare-swap)
[ ( v1 v2 -- length v1-data v1-inc v2-data v2-inc
[ [ length>> ] bi@ min ] v1 v2 )
[ [ [ data>> ] [ inc>> ] bi ] bi@ ] 2bi [ shorter-length ] [ datas-and-incs ] [ ] 2tri ;
] 2keep ;
: (prepare-axpy) ( n v1 v2 -- length n v1-data v1-inc v2-data v2-inc v2 ) :: (prepare-axpy)
[ ( n v1 v2 -- length n v1-data v1-inc v2-data v2-inc
[ [ length>> ] bi@ min swap ] v2 )
[ [ [ data>> ] [ inc>> ] bi ] bi@ ] 2bi v1 v2 shorter-length
] keep ; n
v1 v2 datas-and-incs
v2 ;
: (prepare-scal) ( n v -- length n v-data v-inc v ) :: (prepare-scal)
[ [ length>> swap ] [ data>> ] [ inc>> ] tri ] keep ; ( n v -- length n v-data v-inc
v )
v length>>
n
v data-and-inc
v ;
: (prepare-dot) ( v1 v2 -- length v1-data v1-inc v2-data v2-inc ) : (prepare-dot) ( v1 v2 -- length v1-data v1-inc v2-data v2-inc )
[ [ length>> ] bi@ min ] [ shorter-length ] [ datas-and-incs ] 2bi ;
[ [ [ data>> ] [ inc>> ] bi ] bi@ ] 2bi ;
: (prepare-nrm2) ( v -- length v1-data v1-inc ) : (prepare-nrm2) ( v -- length data inc )
[ length>> ] [ data>> ] [ inc>> ] tri ; [ length>> ] [ data-and-inc ] bi ;
: (flatten-complex-sequence) ( seq -- seq' )
[ [ real-part ] [ imaginary-part ] bi 2array ] map concat ;
: (>c-complex) ( complex -- alien )
[ real-part ] [ imaginary-part ] bi float-array{ } 2sequence underlying>> ;
: (>z-complex) ( complex -- alien )
[ real-part ] [ imaginary-part ] bi double-array{ } 2sequence underlying>> ;
: (c-complex>) ( alien -- complex )
2 <direct-float-array> first2 rect> ;
: (z-complex>) ( alien -- complex )
2 <direct-double-array> first2 rect> ;
: (prepare-nth) ( n v -- n*inc v-data )
[ inc>> ] [ data>> ] bi [ * ] dip ;
MACRO: (complex-nth) ( nth-quot -- )
'[
[ 2 * dup 1+ ] dip
_ curry bi@ rect>
] ;
: (c-complex-nth) ( n alien -- complex )
[ float-nth ] (complex-nth) ;
: (z-complex-nth) ( n alien -- complex )
[ double-nth ] (complex-nth) ;
MACRO: (set-complex-nth) ( set-nth-quot -- )
'[
[
[ [ real-part ] [ imaginary-part ] bi ]
[ 2 * dup 1+ ] bi*
swapd
] dip
_ curry 2bi@
] ;
: (set-c-complex-nth) ( complex n alien -- )
[ set-float-nth ] (set-complex-nth) ;
: (set-z-complex-nth) ( complex n alien -- )
[ set-double-nth ] (set-complex-nth) ;
PRIVATE> PRIVATE>
: <zero-vector> ( exemplar -- zero )
[ element-type <c-object> ]
[ length>> 0 ]
[ (blas-vector-like) ] tri ;
: <empty-vector> ( length exemplar -- vector )
[ element-type <c-array> ]
[ 1 swap ] 2bi
(blas-vector-like) ;
syntax:M: blas-vector-base length
length>> ;
syntax:M: float-blas-vector nth-unsafe
(prepare-nth) float-nth ;
syntax:M: float-blas-vector set-nth-unsafe
(prepare-nth) set-float-nth ;
syntax:M: double-blas-vector nth-unsafe
(prepare-nth) double-nth ;
syntax:M: double-blas-vector set-nth-unsafe
(prepare-nth) set-double-nth ;
syntax:M: float-complex-blas-vector nth-unsafe
(prepare-nth) (c-complex-nth) ;
syntax:M: float-complex-blas-vector set-nth-unsafe
(prepare-nth) (set-c-complex-nth) ;
syntax:M: double-complex-blas-vector nth-unsafe
(prepare-nth) (z-complex-nth) ;
syntax:M: double-complex-blas-vector set-nth-unsafe
(prepare-nth) (set-z-complex-nth) ;
syntax:M: blas-vector-base equal?
{
[ [ length ] bi@ = ]
[ [ = ] 2all? ]
} 2&& ;
: >float-blas-vector ( seq -- v )
[ >float-array underlying>> ] [ length ] bi 1 <float-blas-vector> ;
: >double-blas-vector ( seq -- v )
[ >double-array underlying>> ] [ length ] bi 1 <double-blas-vector> ;
: >float-complex-blas-vector ( seq -- v )
[ (flatten-complex-sequence) >float-array underlying>> ] [ length ] bi
1 <float-complex-blas-vector> ;
: >double-complex-blas-vector ( seq -- v )
[ (flatten-complex-sequence) >double-array underlying>> ] [ length ] bi
1 <double-complex-blas-vector> ;
syntax:M: float-blas-vector clone
"float" heap-size (prepare-copy)
[ cblas_scopy ] [ <float-blas-vector> ] (do-copy) ;
syntax:M: double-blas-vector clone
"double" heap-size (prepare-copy)
[ cblas_dcopy ] [ <double-blas-vector> ] (do-copy) ;
syntax:M: float-complex-blas-vector clone
"CBLAS_C" heap-size (prepare-copy)
[ cblas_ccopy ] [ <float-complex-blas-vector> ] (do-copy) ;
syntax:M: double-complex-blas-vector clone
"CBLAS_Z" heap-size (prepare-copy)
[ cblas_zcopy ] [ <double-complex-blas-vector> ] (do-copy) ;
METHOD: Vswap { float-blas-vector float-blas-vector }
(prepare-swap) [ cblas_sswap ] 2dip ;
METHOD: Vswap { double-blas-vector double-blas-vector }
(prepare-swap) [ cblas_dswap ] 2dip ;
METHOD: Vswap { float-complex-blas-vector float-complex-blas-vector }
(prepare-swap) [ cblas_cswap ] 2dip ;
METHOD: Vswap { double-complex-blas-vector double-complex-blas-vector }
(prepare-swap) [ cblas_zswap ] 2dip ;
METHOD: n*V+V! { real float-blas-vector float-blas-vector }
(prepare-axpy) [ cblas_saxpy ] dip ;
METHOD: n*V+V! { real double-blas-vector double-blas-vector }
(prepare-axpy) [ cblas_daxpy ] dip ;
METHOD: n*V+V! { number float-complex-blas-vector float-complex-blas-vector }
[ (>c-complex) ] 2dip
(prepare-axpy) [ cblas_caxpy ] dip ;
METHOD: n*V+V! { number double-complex-blas-vector double-complex-blas-vector }
[ (>z-complex) ] 2dip
(prepare-axpy) [ cblas_zaxpy ] dip ;
METHOD: n*V! { real float-blas-vector }
(prepare-scal) [ cblas_sscal ] dip ;
METHOD: n*V! { real double-blas-vector }
(prepare-scal) [ cblas_dscal ] dip ;
METHOD: n*V! { number float-complex-blas-vector }
[ (>c-complex) ] dip
(prepare-scal) [ cblas_cscal ] dip ;
METHOD: n*V! { number double-complex-blas-vector }
[ (>z-complex) ] dip
(prepare-scal) [ cblas_zscal ] dip ;
: n*V+V ( alpha x y -- alpha*x+y ) clone n*V+V! ; inline : n*V+V ( alpha x y -- alpha*x+y ) clone n*V+V! ; inline
: n*V ( alpha x -- alpha*x ) clone n*V! ; inline : n*V ( alpha x -- alpha*x ) clone n*V! ; inline
@ -242,62 +88,170 @@ METHOD: n*V! { number double-complex-blas-vector }
: V/n ( x alpha -- x/alpha ) : V/n ( x alpha -- x/alpha )
recip swap n*V ; inline recip swap n*V ; inline
METHOD: V. { float-blas-vector float-blas-vector }
(prepare-dot) cblas_sdot ;
METHOD: V. { double-blas-vector double-blas-vector }
(prepare-dot) cblas_ddot ;
METHOD: V. { float-complex-blas-vector float-complex-blas-vector }
(prepare-dot)
"CBLAS_C" <c-object> [ cblas_cdotu_sub ] keep (c-complex>) ;
METHOD: V. { double-complex-blas-vector double-complex-blas-vector }
(prepare-dot)
"CBLAS_Z" <c-object> [ cblas_zdotu_sub ] keep (z-complex>) ;
METHOD: V.conj { float-blas-vector float-blas-vector }
(prepare-dot) cblas_sdot ;
METHOD: V.conj { double-blas-vector double-blas-vector }
(prepare-dot) cblas_ddot ;
METHOD: V.conj { float-complex-blas-vector float-complex-blas-vector }
(prepare-dot)
"CBLAS_C" <c-object> [ cblas_cdotc_sub ] keep (c-complex>) ;
METHOD: V.conj { double-complex-blas-vector double-complex-blas-vector }
(prepare-dot)
"CBLAS_Z" <c-object> [ cblas_zdotc_sub ] keep (z-complex>) ;
METHOD: Vnorm { float-blas-vector }
(prepare-nrm2) cblas_snrm2 ;
METHOD: Vnorm { double-blas-vector }
(prepare-nrm2) cblas_dnrm2 ;
METHOD: Vnorm { float-complex-blas-vector }
(prepare-nrm2) cblas_scnrm2 ;
METHOD: Vnorm { double-complex-blas-vector }
(prepare-nrm2) cblas_dznrm2 ;
METHOD: Vasum { float-blas-vector }
(prepare-nrm2) cblas_sasum ;
METHOD: Vasum { double-blas-vector }
(prepare-nrm2) cblas_dasum ;
METHOD: Vasum { float-complex-blas-vector }
(prepare-nrm2) cblas_scasum ;
METHOD: Vasum { double-complex-blas-vector }
(prepare-nrm2) cblas_dzasum ;
METHOD: Viamax { float-blas-vector }
(prepare-nrm2) cblas_isamax ;
METHOD: Viamax { double-blas-vector }
(prepare-nrm2) cblas_idamax ;
METHOD: Viamax { float-complex-blas-vector }
(prepare-nrm2) cblas_icamax ;
METHOD: Viamax { double-complex-blas-vector }
(prepare-nrm2) cblas_izamax ;
: Vamax ( x -- max ) : Vamax ( x -- max )
[ Viamax ] keep nth ; inline [ Viamax ] keep nth ; inline
: Vsub ( v start length -- sub ) :: Vsub ( v start length -- sub )
rot [ v inc>> start * v element-type heap-size *
[ v underlying>> <displaced-alien>
nip [ inc>> ] [ element-type heap-size ] [ data>> ] tri length v inc>> v (blas-vector-like) ;
[ * * ] dip <displaced-alien>
] [ swap 2nip ] [ 2nip inc>> ] 3tri : <zero-vector> ( exemplar -- zero )
] keep (blas-vector-like) ; [ element-type <c-object> ]
[ length>> 0 ]
[ (blas-vector-like) ] tri ;
: <empty-vector> ( length exemplar -- vector )
[ element-type <c-array> ]
[ 1 swap ] 2bi
(blas-vector-like) ;
M: blas-vector-base equal?
{
[ [ length ] bi@ = ]
[ [ = ] 2all? ]
} 2&& ;
M: blas-vector-base length
length>> ;
M: blas-vector-base virtual-seq
(blas-direct-array) ;
M: blas-vector-base virtual@
[ inc>> * ] [ nip (blas-direct-array) ] 2bi ;
<<
FUNCTOR: (define-blas-vector) ( TYPE T -- )
<DIRECT-ARRAY> IS <direct-${TYPE}-array>
>ARRAY IS >${TYPE}-array
XCOPY IS cblas_${T}copy
XSWAP IS cblas_${T}swap
XAXPY IS cblas_${T}axpy
XSCAL IS cblas_${T}scal
IXAMAX IS cblas_i${T}amax
VECTOR DEFINES ${TYPE}-blas-vector
<VECTOR> DEFINES <${TYPE}-blas-vector>
>VECTOR DEFINES >${TYPE}-blas-vector
WHERE
TUPLE: VECTOR < blas-vector-base ;
: <VECTOR> ( underlying length inc -- vector ) VECTOR boa ; inline
: >VECTOR ( seq -- v )
[ >ARRAY execute underlying>> ] [ length ] bi 1 <VECTOR> execute ;
M: VECTOR clone
TYPE heap-size (prepare-copy)
[ XCOPY execute ] 3dip <VECTOR> execute ;
M: VECTOR element-type
drop TYPE ;
M: VECTOR n*V+V!
(prepare-axpy) [ XAXPY execute ] dip ;
M: VECTOR n*V!
(prepare-scal) [ XSCAL execute ] dip ;
M: VECTOR Vswap
(prepare-swap) [ XSWAP execute ] 2dip ;
M: VECTOR Viamax
(prepare-nrm2) IXAMAX execute ;
M: VECTOR (blas-vector-like)
drop <VECTOR> execute ;
M: VECTOR (blas-direct-array)
[ underlying>> ]
[ [ length>> ] [ inc>> ] bi * ] bi
<DIRECT-ARRAY> execute ;
;FUNCTOR
FUNCTOR: (define-real-blas-vector) ( TYPE T -- )
VECTOR IS ${TYPE}-blas-vector
XDOT IS cblas_${T}dot
XNRM2 IS cblas_${T}nrm2
XASUM IS cblas_${T}asum
WHERE
M: VECTOR V.
(prepare-dot) XDOT execute ;
M: VECTOR V.conj
(prepare-dot) XDOT execute ;
M: VECTOR Vnorm
(prepare-nrm2) XNRM2 execute ;
M: VECTOR Vasum
(prepare-nrm2) XASUM execute ;
;FUNCTOR
FUNCTOR: (define-complex-helpers) ( TYPE -- )
<DIRECT-COMPLEX-ARRAY> DEFINES <direct-${TYPE}-complex-array>
>COMPLEX-ARRAY DEFINES >${TYPE}-complex-array
ALIEN>COMPLEX DEFINES alien>${TYPE}-complex
<DIRECT-ARRAY> IS <direct-${TYPE}-array>
>ARRAY IS >${TYPE}-array
WHERE
: <DIRECT-COMPLEX-ARRAY> ( alien len -- sequence )
<DIRECT-ARRAY> execute <complex-sequence> ;
: >COMPLEX-ARRAY ( sequence -- sequence )
<complex-components> >ARRAY execute ;
: ALIEN>COMPLEX ( alien -- complex )
2 <DIRECT-ARRAY> execute first2 rect> ;
;FUNCTOR
FUNCTOR: (define-complex-blas-vector) ( TYPE C S -- )
VECTOR IS ${TYPE}-blas-vector
XDOTU_SUB IS cblas_${C}dotu_sub
XDOTC_SUB IS cblas_${C}dotc_sub
XXNRM2 IS cblas_${S}${C}nrm2
XXASUM IS cblas_${S}${C}asum
ALIEN>TYPE IS alien>${TYPE}
WHERE
M: VECTOR V.
(prepare-dot) TYPE <c-object>
[ XDOTU_SUB execute ] keep
ALIEN>TYPE execute ;
M: VECTOR V.conj
(prepare-dot) TYPE <c-object>
[ XDOTC_SUB execute ] keep
ALIEN>TYPE execute ;
M: VECTOR Vnorm
(prepare-nrm2) XXNRM2 execute ;
M: VECTOR Vasum
(prepare-nrm2) XXASUM execute ;
;FUNCTOR
: define-real-blas-vector ( TYPE T -- )
[ (define-blas-vector) ]
[ (define-real-blas-vector) ] 2bi ;
:: define-complex-blas-vector ( TYPE C S -- )
TYPE (define-complex-helpers)
TYPE "-complex" append
[ C (define-blas-vector) ]
[ C S (define-complex-blas-vector) ] bi
;
"float" "s" define-real-blas-vector
"double" "d" define-real-blas-vector
"float" "c" "s" define-complex-blas-vector
"double" "z" "d" define-complex-blas-vector
>>

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Joe Groff

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USING: help.markup help.syntax math multiline
sequences sequences.complex-components ;
IN: sequences.complex-components
ARTICLE: "sequences.complex-components" "Complex component virtual sequences"
"The " { $link complex-components } " class wraps a sequence of " { $link complex } " number values, presenting a sequence of " { $link real } " values made by interleaving the real and imaginary parts of the complex values in the original sequence."
{ $subsection complex-components }
{ $subsection <complex-components> } ;
ABOUT: "sequences.complex-components"
HELP: complex-components
{ $class-description "Sequence wrapper class that transforms a sequence of " { $link complex } " number values into a sequence of " { $link real } " values, interleaving the real and imaginary parts of the complex values in the original sequence." }
{ $examples { $example <"
USING: sequences arrays sequences.complex-components ;
{ C{ 1.0 -1.0 } -2.0 C{ 3.0 1.0 } } <complex-components> >array
"> "{ 1.0 -1.0 -2.0 0 3.0 1.0 }" } } ;
HELP: <complex-components>
{ $values { "sequence" sequence } { "complex-components" complex-components } }
{ $description "Wraps " { $snippet "sequence" } " in a " { $link complex-components } " wrapper." }
{ $examples
{ $example <"
USING: sequences arrays sequences.complex-components ;
{ C{ 1.0 -1.0 } -2.0 C{ 3.0 1.0 } } <complex-components> third
"> "-2.0" }
{ $example <"
USING: sequences arrays sequences.complex-components ;
{ C{ 1.0 -1.0 } -2.0 C{ 3.0 1.0 } } <complex-components> fourth
"> "0" }
} ;
{ complex-components <complex-components> } related-words

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USING: sequences.complex-components
kernel sequences tools.test arrays accessors ;
IN: sequences.complex-components.tests
: test-array ( -- x )
{ C{ 1.0 2.0 } 3.0 C{ 5.0 6.0 } } <complex-components> ;
[ 6 ] [ test-array length ] unit-test
[ 1.0 ] [ test-array first ] unit-test
[ 2.0 ] [ test-array second ] unit-test
[ 3.0 ] [ test-array third ] unit-test
[ 0 ] [ test-array fourth ] unit-test
[ { 1.0 2.0 3.0 0 5.0 6.0 } ] [ test-array >array ] unit-test

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USING: accessors kernel math math.functions combinators
sequences sequences.private ;
IN: sequences.complex-components
TUPLE: complex-components seq ;
INSTANCE: complex-components sequence
: <complex-components> ( sequence -- complex-sequence )
complex-components boa ; inline
<PRIVATE
: complex-components@ ( n seq -- remainder n' seq' )
[ [ 1 bitand ] [ -1 shift ] bi ] [ seq>> ] bi* ; inline
: complex-component ( remainder complex -- component )
swap {
{ 0 [ real-part ] }
{ 1 [ imaginary-part ] }
} case ;
PRIVATE>
M: complex-components length
seq>> length 1 shift ;
M: complex-components nth-unsafe
complex-components@ nth-unsafe complex-component ;
M: complex-components set-nth-unsafe
immutable ;

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Virtual sequence wrapper to convert complex values into real value pairs

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sequences
math

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Joe Groff

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USING: help.markup help.syntax math multiline
sequences sequences.complex ;
IN: sequences.complex
ARTICLE: "sequences.complex" "Complex virtual sequences"
"The " { $link complex-sequence } " class wraps a sequence of " { $link real } " number values, presenting a sequence of " { $link complex } " values made by treating the underlying sequence as pairs of alternating real and imaginary values."
{ $subsection complex-sequence }
{ $subsection <complex-sequence> } ;
ABOUT: "sequences.complex"
HELP: complex-sequence
{ $class-description "Sequence wrapper class that transforms a sequence of " { $link real } " number values into a sequence of " { $link complex } " values, treating the underlying sequence as pairs of alternating real and imaginary values." }
{ $examples { $example <"
USING: specialized-arrays.double sequences.complex
sequences arrays ;
double-array{ 1.0 -1.0 -2.0 2.0 3.0 0.0 } <complex-sequence> >array
"> "{ C{ 1.0 -1.0 } C{ -2.0 2.0 } C{ 3.0 0.0 } }" } } ;
HELP: <complex-sequence>
{ $values { "sequence" sequence } { "complex-sequence" complex-sequence } }
{ $description "Wraps " { $snippet "sequence" } " in a " { $link complex-sequence } "." }
{ $examples { $example <"
USING: specialized-arrays.double sequences.complex
sequences arrays ;
double-array{ 1.0 -1.0 -2.0 2.0 3.0 0.0 } <complex-sequence> second
"> "C{ -2.0 2.0 }" } } ;
{ complex-sequence <complex-sequence> } related-words

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USING: specialized-arrays.float sequences.complex
kernel sequences tools.test arrays accessors ;
IN: sequences.complex.tests
: test-array ( -- x )
float-array{ 1.0 2.0 3.0 4.0 } clone <complex-sequence> ;
: odd-length-test-array ( -- x )
float-array{ 1.0 2.0 3.0 4.0 5.0 } clone <complex-sequence> ;
[ 2 ] [ test-array length ] unit-test
[ 2 ] [ odd-length-test-array length ] unit-test
[ C{ 1.0 2.0 } ] [ test-array first ] unit-test
[ C{ 3.0 4.0 } ] [ test-array second ] unit-test
[ { C{ 1.0 2.0 } C{ 3.0 4.0 } } ]
[ test-array >array ] unit-test
[ float-array{ 1.0 2.0 5.0 6.0 } ]
[ test-array [ C{ 5.0 6.0 } 1 rot set-nth ] [ seq>> ] bi ]
unit-test
[ float-array{ 7.0 0.0 3.0 4.0 } ]
[ test-array [ 7.0 0 rot set-nth ] [ seq>> ] bi ]
unit-test

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USING: accessors kernel math math.functions
sequences sequences.private ;
IN: sequences.complex
TUPLE: complex-sequence seq ;
INSTANCE: complex-sequence sequence
: <complex-sequence> ( sequence -- complex-sequence )
complex-sequence boa ; inline
<PRIVATE
: complex@ ( n seq -- n' seq' )
[ 1 shift ] [ seq>> ] bi* ; inline
PRIVATE>
M: complex-sequence length
seq>> length -1 shift ;
M: complex-sequence nth-unsafe
complex@ [ nth-unsafe ] [ [ 1+ ] dip nth-unsafe ] 2bi rect> ;
M: complex-sequence set-nth-unsafe
complex@
[ [ real-part ] [ ] [ ] tri* set-nth-unsafe ]
[ [ imaginary-part ] [ 1+ ] [ ] tri* set-nth-unsafe ] 3bi ;

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Virtual sequence wrapper to convert real pairs into complex values

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sequences
math