106 lines
4.9 KiB
Plaintext
106 lines
4.9 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: Lua value "math.huge"
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compile [not a number, NaN, nan] to: Lua value "(0/0)"
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compile [pi, Pi, PI] to: Lua value "math.pi"
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compile [tau, Tau, TAU] to: Lua value "(2*math.pi)"
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compile [golden ratio] to: Lua value "((1+math.sqrt(5))/2)"
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compile [e] to: Lua value "math.exp(1)"
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# Functions:
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compile [% as a number] to: Lua value "tonumber(\(% as lua expr))"
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compile [absolute value %, | % |, abs %] to: Lua value "math.abs(\(% as lua expr))"
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compile [square root %, square root of %, √%, sqrt %] to: Lua value "math.sqrt(\(% as lua expr))"
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compile [sine %, sin %] to: Lua value "math.sin(\(% as lua expr))"
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compile [cosine %, cos %] to: Lua value "math.cos(\(% as lua expr))"
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compile [tangent %, tan %] to: Lua value "math.tan(\(% as lua expr))"
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compile [arc sine %, asin %] to: Lua value "math.asin(\(% as lua expr))"
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compile [arc cosine %, acos %] to: Lua value "math.acos(\(% as lua expr))"
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compile [arc tangent %, atan %] to: Lua value "math.atan(\(% as lua expr))"
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compile [arc tangent %y / %x, atan2 %y %x] to: Lua value "math.atan2(\(%y as lua expr), \(%x as lua expr))"
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compile [hyperbolic sine %, sinh %] to: Lua value "math.sinh(\(% as lua expr))"
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compile [hyperbolic cosine %, cosh %] to: Lua value "math.cosh(\(% as lua expr))"
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compile [hyperbolic tangent %, tanh %] to: Lua value "math.tanh(\(% as lua expr))"
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compile [e^%, exp %] to: Lua value "math.exp(\(% as lua expr))"
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compile [natural log %, ln %, log %] to: Lua value "math.log(\(% as lua expr))"
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compile [log % base %base, log_%base %, log base %base %] to: Lua value "math.log(\(% as lua expr), \(%base as lua expr))"
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compile [floor %] to: Lua value "math.floor(\(% as lua expr))"
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compile [ceiling %, ceil %] to: Lua value "math.ceil(\(% as lua expr))"
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compile [round %, % rounded] to: Lua value "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: Lua value "utils.all(\(%items as lua expr))"
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%clauses <- []
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for % in %items
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lua> "table.insert(\%clauses, \(% as lua expr));"
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return: Lua value "(\(%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: Lua value "utils.any(\(%items as lua expr))"
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%clauses <- []
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for % in %items
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lua> "table.insert(\%clauses, \(% as lua expr));"
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return: Lua value "(\(%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: Lua value "utils.sum(\(%items as lua expr))"
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%clauses <- []
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for % in %items
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lua> "table.insert(\%clauses, \(% as lua expr));"
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return: Lua value "(\(%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: Lua value "utils.product(\(%items as lua expr))"
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%clauses <- []
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for % in %items
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lua> "table.insert(\%clauses, \(% as lua expr));"
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return: Lua value "(\(%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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Lua value "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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Lua value "utils.max(\(%items as lua expr))"
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parse [min of %items by %item = %value_expr] as
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result of
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<- {%best:nil, %best_key:nil}
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for %item in %items
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%key <- %value_expr
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if: (%best = (nil)) or (%key < %best_key)
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<- {%best:%item, %best_key:%key}
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return %best
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parse [max of %items by %item = %value_expr] as
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result of
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<- {%best:nil, %best_key:nil}
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for %item in %items
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%key <- %value_expr
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if: (%best = (nil)) or (%key > %best_key)
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<- {%best:%item, %best_key:%key}
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return %best
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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: Lua value "math.random()"
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compile [random int %n, random integer %n, randint %n] to: Lua value "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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Lua value "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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