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diff --git a/lib/math.nom b/lib/math.nom
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-#..
- This file defines some common math literals and functions
-
-use "lib/metaprogramming.nom"
-use "lib/text.nom"
-use "lib/operators.nom"
-use "lib/control_flow.nom"
-
-# Literals:
-compile [infinity, inf] to {expr:"math.huge"}
-compile [not a number, NaN, nan] to {expr:"(0/0)"}
-compile [pi, Pi, PI] to {expr:"math.pi"}
-compile [tau, Tau, TAU] to {expr:"(2*math.pi)"}
-compile [golden ratio] to {expr:"((1+math.sqrt(5))/2)"}
-compile [e] to {expr:"math.exp(1)"}
-
-# Functions:
-compile [% as a number] to {expr:"tonumber(\(% as lua expr))"}
-compile [absolute value %, | % |, abs %] to {expr:"math.abs(\(% as lua expr))"}
-compile [square root %, √%, sqrt %] to {expr:"math.sqrt(\(% as lua expr))"}
-compile [sine %, sin %] to {expr:"math.sin(\(% as lua expr))"}
-compile [cosine %, cos %] to {expr:"math.cos(\(% as lua expr))"}
-compile [tangent %, tan %] to {expr:"math.tan(\(% as lua expr))"}
-compile [arc sine %, asin %] to {expr:"math.asin(\(% as lua expr))"}
-compile [arc cosine %, acos %] to {expr:"math.acos(\(% as lua expr))"}
-compile [arc tangent %, atan %] to {expr:"math.atan(\(% as lua expr))"}
-compile [arc tangent %y/%x, atan2 %y %x] to {expr:"math.atan2(\(%y as lua expr), \(%x as lua expr))"}
-compile [hyperbolic sine %, sinh %] to {expr:"math.sinh(\(% as lua expr))"}
-compile [hyperbolic cosine %, cosh %] to {expr:"math.cosh(\(% as lua expr))"}
-compile [hyperbolic tangent %, tanh %] to {expr:"math.tanh(\(% as lua expr))"}
-compile [e^%, exp %] to {expr:"math.exp(\(% as lua expr))"}
-compile [natural log %, ln %, log %] to {expr:"math.log(\(% as lua expr))"}
-compile [log % base %base, log_%base %, log base %base %] to {expr:"math.log(\(% as lua expr), \(%base as lua expr))"}
-compile [floor %] to {expr:"math.floor(\(% as lua expr))"}
-compile [ceiling %, ceil %] to {expr:"math.ceil(\(% as lua expr))"}
-compile [round %, % rounded] to {expr:"math.floor(\(% as lua expr) + .5)"}
-action [%n to the nearest %rounder]:
- =lua "(\%rounder)*math.floor((\%n / \%rounder) + .5)"
-
-# Any/all/none
-compile [all of %items, all %items] to:
- unless: (%items' "type") is "List"
- return {expr:"utils.all(\(%items as lua expr))"}
- %clauses <- []
- for all (%items' "value"): lua> "table.insert(\%clauses, \(% as lua expr));"
- return {expr:"(\(%clauses joined with " and "))"}
-parse [not all of %items, not all %items] as: not (all of %items)
-compile [any of %items, any %items] to:
- unless: (%items' "type") is "List"
- return {expr:"utils.any(\(%items as lua expr))"}
- %clauses <- []
- for all (%items' "value"): lua> "table.insert(\%clauses, \(% as lua expr));"
- return {expr:"(\(%clauses joined with " or "))"}
-parse [none of %items, none %items] as: not (any of %items)
-compile [sum of %items, sum %items] to:
- unless: (%items' "type") is "List"
- return {expr:"utils.sum(\(%items as lua expr))"}
- %clauses <- []
- for all (%items' "value"): lua> "table.insert(\%clauses, \(% as lua expr));"
- return {expr:"(\(%clauses joined with " + "))"}
-compile [product of %items, product %items] to:
- unless: (%items' "type") is "List"
- return {expr:"utils.product(\(%items as lua expr))"}
- %clauses <- []
- for all (%items' "value"): lua> "table.insert(\%clauses, \(% as lua expr));"
- return {expr:"(\(%clauses joined with " * "))"}
-action [avg of %items, average of %items]:
- =lua "(utils.sum(\%items)/#\%items)"
-compile [min of %items, smallest of %items, lowest of %items] to {..}
- expr:"utils.min(\(%items as lua expr))"
-compile [max of %items, biggest of %items, largest of %items, highest of %items] to {..}
- expr:"utils.max(\(%items as lua expr))"
-compile [min of %items by %value_expr] to {..}
- expr: ".."
- utils.min(\(%items as lua expr), function(\(\% as lua expr))
- return \(%value_expr as lua expr)
- end)
-compile [max of %items by %value_expr] to {..}
- expr: ".."
- utils.max(\(%items as lua expr), function(\(\% as lua expr))
- return \(%value_expr as lua expr)
- end)
-
-# Random functions
-action [seed random with %]:
- lua> ".."
- math.randomseed(\%);
- for i=1,20 do math.random(); end
-parse [seed random] as: seed random with (=lua "os.time()")
-compile [random number, random, rand] to {expr:"math.random()"}
-compile [random int %n, random integer %n, randint %n] to {expr:"math.random(\(%n as lua expr))"}
-compile [random from %low to %high, random number from %low to %high, rand %low %high] to
- "math.random(\(%low as lua expr), \(%high as lua expr))"
-action [random choice from %elements, random choice %elements, random %elements]:
- =lua "\%elements[math.random(#\%elements)]"