Datasets:
Tasks:
Text Generation
Modalities:
Text
Sub-tasks:
language-modeling
Languages:
English
Size:
100K - 1M
License:
| section \<open>Optimizations for Code Integer\<close> | |
| theory Optimize_Integer | |
| imports | |
| Complex_Main | |
| "HOL-Library.Code_Target_Numeral" | |
| begin | |
| text \<open>shallowly embed log and power\<close> | |
| definition log2::"int \<Rightarrow> int" | |
| where "log2 a = floor (log 2 (of_int a))" | |
| context includes integer.lifting begin | |
| lift_definition log2_integer :: "integer \<Rightarrow> integer" | |
| is "log2 :: int \<Rightarrow> int" | |
| . | |
| end | |
| lemma [code]: "log2 (int_of_integer a) = int_of_integer (log2_integer a)" | |
| by (simp add: log2_integer.rep_eq) | |
| code_printing | |
| constant "log2_integer :: integer \<Rightarrow> _" \<rightharpoonup> | |
| (SML) "IntInf.log2" | |
| definition power_int::"int \<Rightarrow> int \<Rightarrow> int" | |
| where "power_int a b = a ^ (nat b)" | |
| context includes integer.lifting begin | |
| lift_definition power_integer :: "integer \<Rightarrow> integer \<Rightarrow> integer" | |
| is "power_int :: int \<Rightarrow> int \<Rightarrow> int" | |
| . | |
| end | |
| code_printing | |
| constant "power_integer :: integer \<Rightarrow> _ \<Rightarrow> _" \<rightharpoonup> | |
| (SML) "IntInf.pow ((_), (_))" | |
| lemma [code]: "power_int (int_of_integer a) (int_of_integer b) = int_of_integer (power_integer a b)" | |
| by (simp add: power_integer.rep_eq) | |
| end | |