WORD_MUL_LSL_ss

wordsLib.WORD_MUL_LSL_ss : ssfrag

Simplification fragment for words.

The fragment WORD_MUL_LSL_ss simplifies a multiplication by a word literal into a sum of left shifts.

Example

> SIMP_CONV (std_ss++wordsLib.WORD_MUL_LSL_ss) [] “49w * a”
val it = ⊢ 49w * a = a ≪ 5 + a ≪ 4 + a: thm

> SIMP_CONV (std_ss++wordsLib.WORD_ss++wordsLib.WORD_MUL_LSL_ss) [] “2w * a + a << 1”
val it = ⊢ 2w * a + a ≪ 1 = a ≪ 2: thm

Comments

This fragment is not included in WORDS_ss. It should not be used in combination with WORD_ARITH_EQ_ss or wordsLib.WORD_ARITH_CONV, since these convert left shifts into multiplications.

See also

wordsLib.WORD_MUL_LSL_CONV, fcpLib.FCP_ss, wordsLib.BIT_ss, wordsLib.SIZES_ss, wordsLib.WORD_ARITH_ss, wordsLib.WORD_LOGIC_ss, wordsLib.WORD_ARITH_EQ_ss, wordsLib.WORD_BIT_EQ_ss, wordsLib.WORD_SHIFT_ss, wordsLib.WORD_EXTRACT_ss, wordsLib.WORD_ss