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Diffstat (limited to 'lib/math.nom')
| -rw-r--r-- | lib/math.nom | 95 |
1 files changed, 0 insertions, 95 deletions
diff --git a/lib/math.nom b/lib/math.nom deleted file mode 100644 index 70e7de4..0000000 --- a/lib/math.nom +++ /dev/null @@ -1,95 +0,0 @@ -#.. - 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)]" |
