From 1162fd1f75748eadb5bbcb85bd6785e15ca4c979 Mon Sep 17 00:00:00 2001 From: "N.N." Date: Mon, 2 Jan 2006 01:40:45 +0000 Subject: now using polymorphic inlets & outlets: [$1.inlet] [$1.outlet] svn path=/trunk/abstractions/pureunity/; revision=4347 --- generics/associator.pd | 62 ++++++++++++++++++++++---------------------- generics/commutator.pd | 60 +++++++++++++++++++++---------------------- generics/distributor.pd | 68 ++++++++++++++++++++++++------------------------- generics/invertor.pd | 44 ++++++++++++++++---------------- 4 files changed, 117 insertions(+), 117 deletions(-) (limited to 'generics') diff --git a/generics/associator.pd b/generics/associator.pd index bbe0f1f..38ff352 100644 --- a/generics/associator.pd +++ b/generics/associator.pd @@ -1,40 +1,40 @@ -#N canvas 574 54 580 241 10; +#N canvas 574 54 580 317 10; #X obj 18 182 -; -#X obj 18 19 inlet a; -#X obj 71 19 inlet b; -#X text 214 11 associativity rule for operator \$1 is:; -#X obj 124 19 inlet c; -#X text 214 25 (a \$1 b) \$1 c - a \$1 (b \$1 c) = 0; -#X obj 18 201 outlet (ab)c-a(bc); #X obj 18 61 unpack 0 0 0; #X obj 18 42 pack 0 0 0; #X obj 81 123 \$1; #X obj 56 123 \$1; #X obj 18 104 \$1; #X obj 18 123 \$1; -#X text 215 40 when the associator is 0 the rule is respected.; -#X text 215 63 see associative-test.pd; -#X obj 148 182 +; +#X text 245 40 when the associator is 0 the rule is respected.; +#X text 245 63 see associative-test.pd; +#X obj 168 182 +; #X text 16 219 associator; -#X text 146 219 antiassociator; +#X text 166 219 antiassociator; #X obj 18 153 t a a; -#X obj 148 201 outlet (ab)c+a(bc); -#X connect 0 0 6 0; -#X connect 1 0 8 0; -#X connect 2 0 8 1; -#X connect 4 0 8 2; -#X connect 7 0 10 0; -#X connect 7 0 11 0; -#X connect 7 1 9 0; -#X connect 7 1 11 1; -#X connect 7 2 9 1; -#X connect 7 2 12 1; -#X connect 8 0 7 0; -#X connect 9 0 10 1; -#X connect 10 0 0 1; -#X connect 10 0 15 1; -#X connect 11 0 12 0; -#X connect 12 0 18 0; -#X connect 15 0 19 0; -#X connect 18 0 0 0; -#X connect 18 1 15 0; +#X obj 18 19 \$1.inlet a; +#X obj 91 19 \$1.inlet b; +#X obj 164 19 \$1.inlet c; +#X text 244 11 associativity rule for operator *=$1 is:; +#X text 244 25 (a*b)*c - a*(b*c) = 0; +#X obj 18 201 \$1.outlet (ab)c-a(bc); +#X obj 168 201 \$1.outlet (ab)c+a(bc); +#X connect 0 0 18 0; +#X connect 1 0 4 0; +#X connect 1 0 5 0; +#X connect 1 1 3 0; +#X connect 1 1 5 1; +#X connect 1 2 3 1; +#X connect 1 2 6 1; +#X connect 2 0 1 0; +#X connect 3 0 4 1; +#X connect 4 0 0 1; +#X connect 4 0 9 1; +#X connect 5 0 6 0; +#X connect 6 0 12 0; +#X connect 9 0 19 0; +#X connect 12 0 0 0; +#X connect 12 1 9 0; +#X connect 13 0 2 0; +#X connect 14 0 2 1; +#X connect 15 0 2 2; diff --git a/generics/commutator.pd b/generics/commutator.pd index 35559b0..1cc5785 100644 --- a/generics/commutator.pd +++ b/generics/commutator.pd @@ -1,41 +1,41 @@ #N canvas 394 81 620 407 10; -#X obj 18 84 \$1; #X obj 18 210 -; -#X obj 68 115 \$1; #X obj 68 96 f; -#X obj 18 19 inlet a; -#X obj 84 32 inlet b; #X text 75 134 ba; #X text 33 103 ab; #X obj 18 38 t a b a; -#X text 218 15 commutativity rule for operator \$1 is: a \$1 b = b -\$1 a; -#X text 218 32 which is also a \$1 b - b \$1 a = 0; -#X text 218 48 the commutator is a \$1 b - b \$1 a; -#X obj 18 229 outlet ab-ba; -#X text 189 112 when \$1 = + this is also known as a "group commutator" -; -#X text 189 132 when \$1 = * this is also known as a "ring commutator" -; #X text 190 153 however \, this thing i call commutator is more general ; #X text 189 172 see commutative-test.pd; -#X obj 106 229 outlet ab+ba; #X obj 18 141 t a a; -#X obj 106 210 +; -#X text 106 247 anticommutator; +#X obj 127 210 +; +#X text 127 247 anticommutator; #X text 19 247 commutator; -#X connect 0 0 18 0; -#X connect 1 0 12 0; -#X connect 2 0 1 1; -#X connect 2 0 19 0; -#X connect 3 0 2 0; -#X connect 4 0 8 0; -#X connect 5 0 3 1; -#X connect 5 0 0 1; -#X connect 8 0 0 0; -#X connect 8 1 3 0; -#X connect 8 2 2 1; -#X connect 18 0 1 0; -#X connect 18 1 19 1; -#X connect 19 0 17 0; +#X obj 18 19 \$1.inlet a; +#X text 218 15 Say operator \$2 is *. Then the commutativity rule is: +; +#X text 218 32 a*b=b*a which is also a*b-b*a = 0; +#X text 218 48 the commutator is a*b - b*a; +#X text 189 112 when \$2=+ this is also known as a "group commutator" +; +#X text 189 132 when \$2=* this is also known as a "ring commutator" +; +#X obj 18 229 \$1.outlet ab-ba; +#X obj 127 229 \$1.outlet ab+ba; +#X obj 93 19 \$1.inlet b; +#X obj 68 115 \$2; +#X obj 18 84 \$2; +#X connect 0 0 17 0; +#X connect 1 0 20 0; +#X connect 4 0 21 0; +#X connect 4 1 1 0; +#X connect 4 2 20 1; +#X connect 7 0 0 0; +#X connect 7 1 8 1; +#X connect 8 0 18 0; +#X connect 11 0 4 0; +#X connect 19 0 1 1; +#X connect 19 0 21 1; +#X connect 20 0 0 1; +#X connect 20 0 8 0; +#X connect 21 0 7 0; diff --git a/generics/distributor.pd b/generics/distributor.pd index cb233b1..c871a05 100644 --- a/generics/distributor.pd +++ b/generics/distributor.pd @@ -1,46 +1,46 @@ #N canvas 441 449 580 241 10; #X obj 18 182 -; -#X obj 18 19 inlet a; -#X obj 71 19 inlet b; -#X obj 124 19 inlet c; #X obj 18 61 unpack 0 0 0; #X obj 18 42 pack 0 0 0; -#X obj 162 182 +; +#X obj 182 182 +; #X obj 18 153 t a a; -#X text 185 73 see distributive-test.pd; -#X text 184 21 distributivity rule for operator \$2 over operator \$1 -is:; -#X text 184 35 a \$2 (b \$1 c) - ((a \$2 b) \$1 (a \$2 c)) = 0; -#X text 185 50 when the distributor is 0 the rule is respected.; +#X text 185 123 see distributive-test.pd; +#X text 185 100 when the distributor is 0 the rule is respected.; #X text 16 219 distributor; -#X text 160 219 antidistributor; -#X obj 162 201 outlet a(bc)+(ab+ac); -#X obj 18 201 outlet a(bc)-(ab+ac); +#X text 180 219 antidistributor; #X obj 116 113 \$2; #X obj 91 112 \$2; #X obj 95 133 \$1; #X obj 43 106 \$1; #X obj 18 106 \$2; #X obj 18 80 t a a a; -#X connect 0 0 15 0; -#X connect 1 0 5 0; -#X connect 2 0 5 1; -#X connect 3 0 5 2; -#X connect 4 0 21 0; -#X connect 4 1 17 1; -#X connect 4 1 19 0; -#X connect 4 2 16 1; -#X connect 4 2 19 1; -#X connect 5 0 4 0; -#X connect 6 0 14 0; -#X connect 7 0 0 0; -#X connect 7 1 6 0; -#X connect 16 0 18 1; -#X connect 17 0 18 0; -#X connect 18 0 6 1; -#X connect 18 0 0 1; -#X connect 19 0 20 1; -#X connect 20 0 7 0; -#X connect 21 0 20 0; -#X connect 21 1 17 0; -#X connect 21 2 16 0; +#X obj 164 19 \$1.inlet c; +#X obj 91 19 \$1.inlet b; +#X obj 18 19 \$1.inlet a; +#X obj 18 201 \$1.outlet a(bc)-(ab+ac); +#X obj 182 201 \$1.outlet a(bc)+(ab+ac); +#X text 184 71 distributivity rule for operator \$3 over operator \$2 +is:; +#X text 184 85 a \$3 (b \$2 c) - ((a \$3 b) \$2 (a \$3 c)) = 0; +#X connect 0 0 18 0; +#X connect 1 0 14 0; +#X connect 1 1 10 1; +#X connect 1 1 12 0; +#X connect 1 2 9 1; +#X connect 1 2 12 1; +#X connect 2 0 1 0; +#X connect 3 0 19 0; +#X connect 4 0 0 0; +#X connect 4 1 3 0; +#X connect 9 0 11 1; +#X connect 10 0 11 0; +#X connect 11 0 3 1; +#X connect 11 0 0 1; +#X connect 12 0 13 1; +#X connect 13 0 4 0; +#X connect 14 0 13 0; +#X connect 14 1 10 0; +#X connect 14 2 9 0; +#X connect 15 0 2 2; +#X connect 16 0 2 1; +#X connect 17 0 2 0; diff --git a/generics/invertor.pd b/generics/invertor.pd index d5654d7..074a5a7 100644 --- a/generics/invertor.pd +++ b/generics/invertor.pd @@ -1,30 +1,30 @@ #N canvas 336 387 602 199 10; #X obj 18 137 -; -#X obj 18 19 inlet a; -#X obj 71 19 inlet b; -#X obj 18 65 \$1; -#X text 184 45 (a \$1 b) \$2 b - a = 0; #X text 185 60 when the invertor is 0 the rule is respected.; #X text 185 83 see invertible-test.pd; -#X obj 18 91 \$2; -#X obj 18 156 outlet (ab)/b-a; #X text 19 174 invertor; -#X text 129 174 antiinvertor; -#X obj 128 137 +; +#X text 149 174 antiinvertor; +#X obj 148 137 +; #X obj 18 115 t a a; -#X obj 128 156 outlet (ab)/b+a; -#X text 184 11 invertibility rule for operator \$1 with (presumed) -right-inverse \$2 is:; #X obj 18 39 t a a; -#X connect 0 0 8 0; -#X connect 1 0 15 0; -#X connect 2 0 3 1; -#X connect 2 0 7 1; -#X connect 3 0 7 0; +#X obj 18 19 \$1.inlet a; +#X obj 101 19 \$1.inlet b; +#X obj 18 156 \$1.outlet (ab)/b-a; +#X obj 148 156 \$1.outlet (ab)/b+a; +#X obj 18 65 \$2; +#X obj 18 91 \$3; +#X text 184 11 invertibility rule for operator \$2 with (presumed) +right-inverse \$3 is:; +#X text 184 45 (a \$2 b) \$3 b - a = 0; +#X connect 0 0 10 0; +#X connect 5 0 11 0; +#X connect 6 0 0 0; +#X connect 6 1 5 0; #X connect 7 0 12 0; -#X connect 11 0 13 0; -#X connect 12 0 0 0; -#X connect 12 1 11 0; -#X connect 15 0 3 0; -#X connect 15 1 0 1; -#X connect 15 1 11 1; +#X connect 7 1 0 1; +#X connect 7 1 5 1; +#X connect 8 0 7 0; +#X connect 9 0 12 1; +#X connect 9 0 13 1; +#X connect 12 0 13 0; +#X connect 13 0 6 0; -- cgit v1.2.1