arrays.shaped: Inefficient iteration with indices.

Add upper,lower,strict-upper/lower map operations and array constructions.

extra/arrays/shaped/shaped-tests.factor

@@ -1,6 +1,6 @@
 ! Copyright (C) 2012 Doug Coleman.
 ! See http://factorcode.org/license.txt for BSD license.
-USING: accessors arrays.shaped kernel tools.test ;
+USING: accessors arrays.shaped kernel tools.test math ;
 IN: arrays.shaped.tests
 
 [ t ] [
@@ -41,3 +41,12 @@ IN: arrays.shaped.tests
 { sa{ 0 } } [ { 1 } zeros ] unit-test
 
 ! Error on 0, negative shapes
+
+[
+    sa{ { 1 3 3 } { 4 1 3 } { 4 4 1 } }
+] [
+    { 3 3 } 2 strict-lower
+    [ drop 3 ] map-strict-upper
+    [ drop 1 ] map-diagonal
+    [ sq ] map-strict-lower
+] unit-test

extra/arrays/shaped/shaped.factor

@@ -2,7 +2,7 @@
 ! See http://factorcode.org/license.txt for BSD license.
 USING: accessors arrays combinators.short-circuit constructors
 fry grouping kernel math math.vectors sequences sequences.deep
-math.order parser ;
+math.order parser assocs math.combinatorics ;
 IN: arrays.shaped
 
 : flat? ( array -- ? ) [ sequence? ] any? not ; inline
@@ -72,7 +72,7 @@ M: abnormal-shape check-underlying-shape
 
 M: uniform-shape check-underlying-shape
     shape>> check-underlying-shape ;
-    
+
 M: sequence check-underlying-shape
     2dup [ length ] [ shape-capacity ] bi*
     = [ underlying-shape-mismatch ] unless ; inline
@@ -133,7 +133,7 @@ M: sequence >col-array
     dup [ zero? ] any? [
         2drop { }
     ] [
-        [ rest-slice [ group ] each ] unless-empty
+        [ rest-slice reverse [ group ] each ] unless-empty
     ] if ;
 
 : reshape ( shaped-array shape -- array )
@@ -183,9 +183,42 @@ M: shaped-array >pprint-sequence shaped-array>array ;
 M: shaped-array pprint* pprint-object ;
 M: shaped-array pprint-narrow? drop f ;
 
+ERROR: shaped-bounds-error seq shape ;
+
+: shaped-bounds-check ( seq shaped -- seq shaped )
+    2dup shape [ < ] 2all? [ shaped-bounds-error ] unless ;
+
+! Inefficient
+: calculate-row-major-index ( seq shape -- i )
+    1 [ * ] accumulate nip reverse v* sum ;
+
+: calculate-column-major-index ( seq shape -- i )
+    1 [ * ] accumulate nip v* sum ;
+
+: set-shaped-row-major ( obj seq shaped -- )
+    shaped-bounds-check [ shape calculate-row-major-index ] [ underlying>> ] bi set-nth ;
+
+: set-shaped-column-major ( obj seq shaped -- )
+    shaped-bounds-check [ shape calculate-column-major-index ] [ underlying>> ] bi set-nth ;
+
+! Matrices
+: 2d? ( shape -- ? ) length 2 = ;
+ERROR: 2d-expected shaped ;
+: check-2d ( shaped -- shaped ) dup shape>> 2d? [ 2d-expected ] unless ;
+
+: diagonal? ( coord -- ? ) { [ 2d? ] [ first2 = ] } 1&& ;
+
+! : definite? ( sa -- ? )
+
 : shaped-each ( .. sa quot -- )
     [ underlying>> ] dip each ; inline
 
+! : set-shaped-where ( .. elt sa quot -- )
+    ! [
+        ! [ underlying>> [ length iota ] keep zip ]
+        ! [ ] bi
+    ! ] dip '[ _ [ _ set- ] @ ] assoc-each ; inline
+
 : shaped-map! ( .. sa quot -- sa )
     '[ _ map ] change-underlying ; inline
 
@@ -211,3 +244,54 @@ M: shaped-array pprint-narrow? drop f ;
     pad-shapes
     [ [ shape>> ] bi@ ] [ output-shape ] 2bi
     '[ _ broadcast-shape-matches? ] both? ;
+
+TUPLE: block-array shaped shape ;
+
+: <block-array> ( underlying shape -- obj )
+    block-array boa ;
+
+: iteration-indices ( shaped -- seq )
+    [ iota ] [
+        cartesian-product concat
+        [ dup first array? [ first2 suffix ] when ] map
+    ] map-reduce ;
+
+: map-shaped-index ( shaped quot -- shaped )
+    over [
+        [ [ underlying>> ] [ shape>> iteration-indices ] bi zip ] dip map
+    ] dip swap >>underlying ; inline
+
+: identity-matrix ( n -- shaped )
+    dup 2array zeros [ second first2 = 1 0 ? ] map-shaped-index ;
+
+: map-strict-lower ( shaped quot -- shaped )
+    [ check-2d ] dip
+    '[ first2 first2 > _ when ] map-shaped-index ; inline
+
+: map-lower ( shaped quot -- shaped )
+    [ check-2d ] dip
+    '[ first2 first2 >= _ when ] map-shaped-index ; inline
+
+: map-strict-upper ( shaped quot -- shaped )
+    [ check-2d ] dip
+    '[ first2 first2 < _ when ] map-shaped-index ; inline
+
+: map-upper ( shaped quot -- shaped )
+    [ check-2d ] dip
+    '[ first2 first2 <= _ when ] map-shaped-index ; inline
+
+: map-diagonal ( shaped quot -- shaped )
+    [ check-2d ] dip
+    '[ first2 first2 = _ when ] map-shaped-index ; inline
+
+: upper ( shape obj -- shaped )
+    [ zeros check-2d ] dip '[ drop _ ] map-upper ;
+
+: strict-upper ( shape obj -- shaped )
+    [ zeros check-2d ] dip '[ drop _ ] map-strict-upper ;
+
+: lower ( shape obj -- shaped )
+    [ zeros check-2d ] dip '[ drop _ ] map-lower ;
+
+: strict-lower ( shape obj -- shaped )
+    [ zeros check-2d ] dip '[ drop _ ] map-strict-lower ;