+++ /dev/null
-! Copyright (C) 2005 Slava Pestov.
-! See http://factor.sf.net/license.txt for BSD license.
-IN: math
-USING: arrays generic kernel sequences ;
-
-! Vectors
-: vneg ( v -- v ) [ neg ] map ;
-
-: n*v ( n v -- v ) [ * ] map-with ;
-: v*n ( v n -- v ) swap n*v ;
-: n/v ( n v -- v ) [ / ] map-with ;
-: v/n ( v n -- v ) swap [ swap / ] map-with ;
-
-: v+ ( v v -- v ) [ + ] 2map ;
-: v- ( v v -- v ) [ - ] 2map ;
-: v* ( v v -- v ) [ * ] 2map ;
-: v/ ( v v -- v ) [ / ] 2map ;
-: vmax ( v v -- v ) [ max ] 2map ;
-: vmin ( v v -- v ) [ min ] 2map ;
-
-: sum ( v -- n ) 0 [ + ] reduce ;
-: product ( v -- n ) 1 [ * ] reduce ;
-
-: set-axis ( x y axis -- v )
- 2dup v* >r >r drop dup r> v* v- r> v+ ;
-
-: v. ( v v -- x )
- #! Real inner product.
- 0 [ * + ] 2reduce ;
-
-: c. ( v v -- x )
- #! Complex inner product.
- 0 [ ** + ] 2reduce ;
-
-: norm-sq ( v -- n ) 0 [ absq + ] reduce ;
-
-: norm ( vec -- n ) norm-sq sqrt ;
-
-: normalize ( vec -- vec ) dup norm v/n ;
-
-: proj ( u v -- w )
- #! Orthogonal projection of u onto v.
- [ [ v. ] keep norm-sq v/n ] keep n*v ;
-
-! Matrices
-: zero-matrix ( m n -- matrix )
- swap [ drop zero-array ] map-with ;
-
-: identity-matrix ( n -- matrix )
- #! Make a nxn identity matrix.
- dup [ swap [ = 1 0 ? ] map-with ] map-with ;
-
-! Matrix operations
-: mneg ( m -- m ) [ vneg ] map ;
-
-: n*m ( n m -- m ) [ n*v ] map-with ;
-: m*n ( m n -- m ) swap n*m ;
-: n/m ( n m -- m ) [ n/v ] map-with ;
-: m/n ( m n -- m ) swap [ swap v/n ] map-with ;
-
-: m+ ( m m -- m ) [ v+ ] 2map ;
-: m- ( m m -- m ) [ v- ] 2map ;
-: m* ( m m -- m ) [ v* ] 2map ;
-: m/ ( m m -- m ) [ v/ ] 2map ;
-
-: v.m ( v m -- v ) flip [ v. ] map-with ;
-: m.v ( m v -- v ) swap [ v. ] map-with ;
-: m. ( m m -- m ) flip swap [ m.v ] map-with ;
--- /dev/null
+! Copyright (C) 2005 Slava Pestov.
+! See http://factor.sf.net/license.txt for BSD license.
+IN: math
+USING: arrays generic kernel sequences ;
+
+! Vectors
+: vneg ( v -- v ) [ neg ] map ;
+
+: n*v ( n v -- v ) [ * ] map-with ;
+: v*n ( v n -- v ) swap n*v ;
+: n/v ( n v -- v ) [ / ] map-with ;
+: v/n ( v n -- v ) swap [ swap / ] map-with ;
+
+: v+ ( v v -- v ) [ + ] 2map ;
+: v- ( v v -- v ) [ - ] 2map ;
+: v* ( v v -- v ) [ * ] 2map ;
+: v/ ( v v -- v ) [ / ] 2map ;
+: vmax ( v v -- v ) [ max ] 2map ;
+: vmin ( v v -- v ) [ min ] 2map ;
+
+: sum ( v -- n ) 0 [ + ] reduce ;
+: product ( v -- n ) 1 [ * ] reduce ;
+
+: set-axis ( x y axis -- v )
+ 2dup v* >r >r drop dup r> v* v- r> v+ ;
+
+: v. ( v v -- x )
+ #! Real inner product.
+ 0 [ * + ] 2reduce ;
+
+: c. ( v v -- x )
+ #! Complex inner product.
+ 0 [ ** + ] 2reduce ;
+
+: norm-sq ( v -- n ) 0 [ absq + ] reduce ;
+
+: norm ( vec -- n ) norm-sq sqrt ;
+
+: normalize ( vec -- vec ) dup norm v/n ;
+
+: proj ( u v -- w )
+ #! Orthogonal projection of u onto v.
+ [ [ v. ] keep norm-sq v/n ] keep n*v ;
+