Merge pull request #1081 from github/pr-931-updated

Mathematica (part deux) -- replaces #931
This commit is contained in:
Rick Bradley
2014-04-21 08:50:14 -07:00
5 changed files with 1188 additions and 83 deletions

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@@ -1071,6 +1071,11 @@ Mask:
ace_mode: scss
primary_extension: .mask
Mathematica:
type: programming
primary_extension: .mathematica
lexer: Text only
Matlab:
type: programming
color: "#bb92ac"

File diff suppressed because it is too large Load Diff

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@@ -0,0 +1,3 @@
(* Mathematica Init File *)
Get[ "Foobar`Foobar`"]

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@@ -0,0 +1,17 @@
(* Paclet Info File *)
(* created 2014/02/07*)
Paclet[
Name -> "Foobar",
Version -> "0.0.1",
MathematicaVersion -> "8+",
Description -> "Example of an automatically generated PacletInfo file.",
Creator -> "Chris Granade",
Extensions ->
{
{"Documentation", Language -> "English", MainPage -> "Guides/Foobar"}
}
]

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@@ -0,0 +1,150 @@
(* ::Package:: *)
BeginPackage["Predicates`"];
(* ::Title:: *)
(*Predicates*)
(* ::Section::Closed:: *)
(*Fuzzy Logic*)
(* ::Subsection:: *)
(*Documentation*)
PossiblyTrueQ::usage="Returns True if the argument is not definitely False.";
PossiblyFalseQ::usage="Returns True if the argument is not definitely True.";
PossiblyNonzeroQ::usage="Returns True if and only if its argument is not definitely zero.";
(* ::Subsection:: *)
(*Implimentation*)
Begin["`Private`"];
PossiblyTrueQ[expr_]:=\[Not]TrueQ[\[Not]expr]
PossiblyFalseQ[expr_]:=\[Not]TrueQ[expr]
End[];
(* ::Section::Closed:: *)
(*Numbers and Lists*)
(* ::Subsection:: *)
(*Documentation*)
AnyQ::usage="Given a predicate and a list, retuns True if and only if that predicate is True for at least one element of the list.";
AnyElementQ::usage="Returns True if cond matches any element of L.";
AllQ::usage="Given a predicate and a list, retuns True if and only if that predicate is True for all elements of the list.";
AllElementQ::usage="Returns True if cond matches any element of L.";
AnyNonzeroQ::usage="Returns True if L is a list such that at least one element is definitely not zero.";
AnyPossiblyNonzeroQ::usage="Returns True if expr is a list such that at least one element is not definitely zero.";
RealQ::usage="Returns True if and only if the argument is a real number";
PositiveQ::usage="Returns True if and only if the argument is a positive real number";
NonnegativeQ::usage="Returns True if and only if the argument is a non-negative real number";
PositiveIntegerQ::usage="Returns True if and only if the argument is a positive integer";
NonnegativeIntegerQ::usage="Returns True if and only if the argument is a non-negative integer";
IntegerListQ::usage="Returns True if and only if the input is a list of integers.";
PositiveIntegerListQ::usage="Returns True if and only if the input is a list of positive integers.";
NonnegativeIntegerListQ::usage="Returns True if and only if the input is a list of non-negative integers.";
IntegerOrListQ::usage="Returns True if and only if the input is a list of integers or an integer.";
PositiveIntegerOrListQ::usage="Returns True if and only if the input is a list of positive integers or a positive integer.";
NonnegativeIntegerOrListQ::usage="Returns True if and only if the input is a list of positive integers or a positive integer.";
SymbolQ::usage="Returns True if argument is an unassigned symbol.";
SymbolOrNumberQ::usage="Returns True if argument is a number of has head 'Symbol'";
(* ::Subsection:: *)
(*Implimentation*)
Begin["`Private`"];
AnyQ[cond_, L_] := Fold[Or, False, cond /@ L]
AnyElementQ[cond_,L_]:=AnyQ[cond,Flatten[L]]
AllQ[cond_, L_] := Fold[And, True, cond /@ L]
AllElementQ[cond_, L_] := Fold[And, True, cond /@ L]
AnyNonzeroQ[L_]:=AnyElementQ[#!=0&,L]
PossiblyNonzeroQ[expr_]:=PossiblyTrueQ[expr!=0]
AnyPossiblyNonzeroQ[expr_]:=AnyElementQ[PossiblyNonzeroQ,expr]
RealQ[n_]:=TrueQ[Im[n]==0];
PositiveQ[n_]:=Positive[n];
PositiveIntegerQ[n_]:=PositiveQ[n]\[And]IntegerQ[n];
NonnegativeQ[n_]:=TrueQ[RealQ[n]&&n>=0];
NonnegativeIntegerQ[n_]:=NonnegativeQ[n]\[And]IntegerQ[n];
IntegerListQ[input_]:=ListQ[input]&&Not[MemberQ[IntegerQ/@input,False]];
IntegerOrListQ[input_]:=IntegerListQ[input]||IntegerQ[input];
PositiveIntegerListQ[input_]:=IntegerListQ[input]&&Not[MemberQ[Positive[input],False]];
PositiveIntegerOrListQ[input_]:=PositiveIntegerListQ[input]||PositiveIntegerQ[input];
NonnegativeIntegerListQ[input_]:=IntegerListQ[input]&&Not[MemberQ[NonnegativeIntegerQ[input],False]];
NonnegativeIntegerOrListQ[input_]:=NonnegativeIntegerListQ[input]||NonnegativeIntegerQ[input];
SymbolQ[a_]:=Head[a]===Symbol;
SymbolOrNumberQ[a_]:=NumericQ[a]||Head[a]===Symbol;
End[];
(* ::Section:: *)
(*Epilogue*)
EndPackage[];