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