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| (* | |
| Author: René Thiemann | |
| Akihisa Yamada | |
| License: BSD | |
| *) | |
| section \<open>Show for Real (Algebraic) Numbers -- Approximate Representation\<close> | |
| text \<open>We implement the show-function for real (algebraic) numbers by calculating the | |
| number precisely for three digits after the comma.\<close> | |
| theory Show_Real_Approx | |
| imports | |
| Show_Real_Alg | |
| Show.Show_Instances | |
| begin | |
| overloading show_real_alg \<equiv> show_real_alg | |
| begin | |
| definition show_real_alg[code]: "show_real_alg x \<equiv> let | |
| x1000' = floor (1000 * x); | |
| (x1000,s) = (if x1000' < 0 then (-x1000', ''-'') else (x1000', '''')); | |
| (bef,aft) = divmod_int x1000 1000; | |
| a' = show aft; | |
| a = replicate (3-length a') (CHR ''0'') @ a' | |
| in | |
| '' ~'' @ s @ show bef @ ''.'' @ a" | |
| end | |
| end | |