# HG changeset patch # User huffman # Date 1188266317 -7200 # Node ID ab6206ccb570b24e139f76564abc2b6b70b70ab4 # Parent 39e29972cb96d4e1bf76dc3d6a9b41e46611508d move WordExamples to Examples directory diff -r 39e29972cb96 -r ab6206ccb570 src/HOL/Word/ROOT.ML --- a/src/HOL/Word/ROOT.ML Tue Aug 28 03:56:24 2007 +0200 +++ b/src/HOL/Word/ROOT.ML Tue Aug 28 03:58:37 2007 +0200 @@ -1,2 +1,2 @@ no_document use_thys ["Infinite_Set", "Parity"]; -use_thy "WordExamples"; +use_thy "WordMain"; diff -r 39e29972cb96 -r ab6206ccb570 src/HOL/Word/WordExamples.thy --- a/src/HOL/Word/WordExamples.thy Tue Aug 28 03:56:24 2007 +0200 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,131 +0,0 @@ -(* - ID: $Id$ - Author: Gerwin Klein, NICTA - - Examples demonstrating and testing various word operations. -*) - -theory WordExamples imports WordMain -begin - --- "modulus" - -lemma "(27 :: 4 word) = -5" by simp - -lemma "(27 :: 4 word) = 11" by simp - -lemma "27 \ (11 :: 6 word)" by simp - --- "signed" -lemma "(127 :: 6 word) = -1" by simp - --- "number ring simps" -lemma - "27 + 11 = (38::'a::finite word)" - "27 + 11 = (6::5 word)" - "7 * 3 = (21::'a::finite word)" - "11 - 27 = (-16::'a::finite word)" - "- -11 = (11::'a::finite word)" - "-40 + 1 = (-39::'a::finite word)" - by simp_all - -lemma "word_pred 2 = 1" by simp - -lemma "word_succ -3 = -2" by simp - -lemma "23 < (27::8 word)" by simp -lemma "23 \ (27::8 word)" by simp -lemma "\ 23 < (27::2 word)" by simp -lemma "0 < (4::3 word)" by simp - --- "ring operations" - -lemma "a + 2 * b + c - b = (b + c) + (a :: 32 word)" by simp - --- "casting" - -lemma "uint (234567 :: 10 word) = 71" by simp -lemma "uint (-234567 :: 10 word) = 953" by simp -lemma "sint (234567 :: 10 word) = 71" by simp -lemma "sint (-234567 :: 10 word) = -71" by simp - -lemma "unat (-234567 :: 10 word) = 953" by simp - -lemma "ucast (0b1010 :: 4 word) = (0b10 :: 2 word)" by simp -lemma "ucast (0b1010 :: 4 word) = (0b1010 :: 10 word)" by simp -lemma "scast (0b1010 :: 4 word) = (0b111010 :: 6 word)" by simp - --- "reducing goals to nat or int and arith:" -lemma "i < x ==> i < (i + 1 :: 'a :: finite word)" by unat_arith -lemma "i < x ==> i < (i + 1 :: 'a :: finite word)" by uint_arith - --- "bool lists" - -lemma "of_bl [True, False, True, True] = (0b1011::'a::finite word)" by simp - -lemma "to_bl (0b110::4 word) = [False, True, True, False]" by simp - --- "this is not exactly fast, but bearable" -lemma "of_bl (replicate 32 True) = (0xFFFFFFFF::32 word)" by simp - --- "this works only for replicate n True" -lemma "of_bl (replicate 32 True) = (0xFFFFFFFF::32 word)" - by (unfold mask_bl [symmetric]) (simp add: mask_def) - - --- "bit operations" - -lemma "0b110 AND 0b101 = (0b100 :: 32 word)" by simp - -lemma "0b110 OR 0b011 = (0b111 :: 8 word)" by simp - -lemma "0xF0 XOR 0xFF = (0x0F :: byte)" by simp - -lemma "NOT (0xF0 :: 16 word) = 0xFF0F" by simp - -lemma "(-1 :: 32 word) = 0xFFFFFFFF" by simp - -lemma "(0b0010 :: 4 word) !! 1" by simp -lemma "\ (0b0010 :: 4 word) !! 0" by simp -lemma "\ (0b1000 :: 3 word) !! 4" by simp - -lemma "(0b11000 :: 10 word) !! n = (n = 4 \ n = 3)" - by (auto simp add: bin_nth_Bit) - -lemma "set_bit 55 7 True = (183::'a word)" by simp -lemma "set_bit 0b0010 7 True = (0b10000010::'a word)" by simp -lemma "set_bit 0b0010 1 False = (0::'a word)" by simp - -lemma "lsb (0b0101::'a::finite word)" by simp -lemma "\ lsb (0b1000::'a::finite word)" by simp - -lemma "\ msb (0b0101::4 word)" by simp -lemma "msb (0b1000::4 word)" by simp - -lemma "word_cat (27::4 word) (27::8 word) = (2843::'a::finite word)" by simp -lemma "word_cat (0b0011::4 word) (0b1111::6word) = (0b0011001111 :: 10 word)" - by simp - -lemma "0b1011 << 2 = (0b101100::'a word)" by simp -lemma "0b1011 >> 2 = (0b10::8 word)" by simp -lemma "0b1011 >>> 2 = (0b10::8 word)" by simp - -lemma "slice 3 (0b101111::6 word) = (0b101::3 word)" by simp - -lemma "word_rotr 2 0b0110 = (0b1001::4 word)" by simp -lemma "word_rotl 1 0b1110 = (0b1101::4 word)" by simp -lemma "word_roti 2 0b1110 = (0b1011::4 word)" by simp -lemma "word_roti -2 0b0110 = (0b1001::4 word)" by simp - -lemma "(x AND 0xff00) OR (x AND 0x00ff) = (x::16 word)" -proof - - have "(x AND 0xff00) OR (x AND 0x00ff) = x AND (0xff00 OR 0x00ff)" - by (simp only: word_ao_dist2) - also have "0xff00 OR 0x00ff = (-1::16 word)" - by simp - also have "x AND -1 = x" - by simp - finally show ?thesis . -qed - -end