From 6717fc5e4aaf5986cd4f0d4ea1a12793188cbe9a Mon Sep 17 00:00:00 2001 From: Eduardo Julian Date: Sat, 12 May 2018 18:48:52 -0400 Subject: - Implemented Deg(ree) reciprocal & conversions Deg<->Frac. - Added an easy way to define aliases. --- stdlib/source/lux.lux | 88 ++++++++++++++++++++++++++++++++++++++++----------- 1 file changed, 70 insertions(+), 18 deletions(-) (limited to 'stdlib/source/lux.lux') diff --git a/stdlib/source/lux.lux b/stdlib/source/lux.lux index 9537f6a9b..4c52bf00f 100644 --- a/stdlib/source/lux.lux +++ b/stdlib/source/lux.lux @@ -2463,25 +2463,28 @@ (def:''' least-significant-bit-mask (list) Nat +1) +(def:''' (without-trailing-zeroes count remaining) + (list) + (-> Nat Nat (#Product Nat Nat)) + (if (|> remaining + ("lux bit and" least-significant-bit-mask) + ("lux coerce" Int) + ("lux int =" 0)) + (without-trailing-zeroes + (|> count + ("lux coerce" Int) + ("lux int +" 1) + ("lux coerce" Nat)) + ("lux bit logical-right-shift" remaining +1)) + [count remaining])) + (def:''' #export (d// param subject) (list [(tag$ ["lux" "doc"]) (text$ "Deg(ree) division.")]) (-> Deg Deg Deg) (if (|> param ("lux coerce" Int) ("lux int =" 0)) ("lux io error" "Cannot divide Deg by zero!") - (let' [[trailing-zeroes remaining] (("lux check" (-> Nat Nat (#Product Nat Nat)) - (function' recur [count remaining] - (if (|> remaining - ("lux bit and" least-significant-bit-mask) - ("lux coerce" Int) - ("lux int =" 0)) - (recur (|> count - ("lux coerce" Int) - ("lux int +" 1) - ("lux coerce" Nat)) - ("lux bit logical-right-shift" remaining +1)) - [count remaining]))) - +0 ("lux coerce" Nat param)) + (let' [[trailing-zeroes remaining] (without-trailing-zeroes +0 ("lux coerce" Nat param)) [trailing-zeroes denominator] (if (|> trailing-zeroes ("lux coerce" Int) ("lux int =" 0)) [+1 ("lux bit logical-right-shift" remaining +1)] [trailing-zeroes remaining]) @@ -2491,11 +2494,11 @@ ("lux coerce" Int trailing-zeroes))) numerator ("lux bit left-shift" +1 shift)] ("lux coerce" Deg - ("lux int /" - ("lux int *" - ("lux coerce" Int subject) - ("lux coerce" Int numerator)) - ("lux coerce" Int denominator)))))) + ("lux int *" + ("lux coerce" Int subject) + ("lux int /" + ("lux coerce" Int numerator) + ("lux coerce" Int denominator))))))) (def:''' #export (d/% param subject) (list [(tag$ ["lux" "doc"]) @@ -2534,6 +2537,17 @@ ("lux coerce" Int subject) ("lux coerce" Int param)))) +(def:''' #export (d/reciprocal numerator) + (list [(tag$ ["lux" "doc"]) + (text$ "Deg(ree) reciprocal of a Nat(ural).")]) + (-> Nat Deg) + ("lux coerce" Deg + (let' [[trailing-zeroes remaining] (without-trailing-zeroes +0 numerator)] + (n// remaining + ("lux case" trailing-zeroes + {+0 ("lux coerce" Nat -1) + _ ("lux bit left-shift" +1 (n/- trailing-zeroes +64))}))))) + (do-template [ ] [(def:''' #export ( left right) (list [(tag$ ["lux" "doc"]) @@ -6315,3 +6329,41 @@ [Nat n//% n// n/%] [Int i//% i// i/%] ) + +(def: (to-significand value) + (-> Nat Frac) + (|> ("lux bit logical-right-shift" value +11) + (:! Int) + int-to-frac)) + +(def: deg-denominator Frac (to-significand (:! Nat -1))) + +(def: #export (frac-to-deg input) + (-> Frac Deg) + (let [abs (if (f/< 0.0 input) + (f/* -1.0 input) + input)] + (:! Deg + ("lux bit left-shift" + (|> abs + (f/% 1.0) + (f/* deg-denominator) + frac-to-int + (:! Nat)) + +11)))) + +(def: #export deg-to-frac + (-> Deg Frac) + (|>> (:! Nat) to-significand (f// deg-denominator))) + +(macro: #export (alias: tokens) + (case tokens + (^ (list [_meta (#Symbol ["" alias])] [_meta (#Symbol aliased)])) + (let [alias (symbol$ ["" alias]) + aliased (symbol$ aliased)] + (return (list (` (def: #export (~ alias) + {#.doc (doc "Alias for:" (~ aliased))} + (~ aliased)))))) + + _ + (fail "Wrong syntax for alias:"))) -- cgit v1.2.3