Difference between revisions of "Z3 Language Tests"

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(Created page with "Here are test cases to try out on ZCubes Code Cubes. Please note that all of the below follow the Z3 Language (Enhanced from Javascript), and hence apart from being simple, it...")
 
 
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Here are test cases to try out on ZCubes Code Cubes. Please note that all of the below follow the Z3 Language (Enhanced from Javascript), and hence apart from being simple, it gives you full programming capability.
+
Following are test cases to try out in ZCubes. Please note that the examples follow z^3 Language. Apart from being simple, z^3 language also give you full programming capability of Javascript and more, as the language enhances and converts to Javascript internally. z^3 runs within browsers, desktops, servers, web-servers, etc., and provides a full scale experience to the users, in all modes, operating systems and platforms of computing.
  
 +
 +
=Simple Matrix Creation=
  
  
 
a=[1 2; 3]
 
a=[1 2; 3]
 +
 
a=[[1,2],[3]]
 
a=[[1,2],[3]]
 +
 
a=[1 2; 3 4]
 
a=[1 2; 3 4]
 +
 
a=[1 20; 2 3]
 
a=[1 20; 2 3]
 +
 
a=[[1, 20],[2, 3]]
 
a=[[1, 20],[2, 3]]
 +
 
a=[[1, 20],[2, [3 4]]];
 
a=[[1, 20],[2, [3 4]]];
 +
 
a=[[1, 20],[2, [3; 4]]];
 
a=[[1, 20],[2, [3; 4]]];
 +
 
a=[[1, 20],[2, [3; 4;]]]; // worked with after 4 nothing was taken. Is that something to change later? with a null?
 
a=[[1, 20],[2, [3; 4;]]]; // worked with after 4 nothing was taken. Is that something to change later? with a null?
 +
 
a=[1 20; 2;[3,4]; 3]  
 
a=[1 20; 2;[3,4]; 3]  
 +
 
a=[1, (a+b); 2;[3,4]; 3]
 
a=[1, (a+b); 2;[3,4]; 3]
 +
 
a=[1*(a+b); 2;[3,4]; 3]
 
a=[1*(a+b); 2;[3,4]; 3]
 +
 
a=[1*(a+b); 2;[3,4+34]; 3];
 
a=[1*(a+b); 2;[3,4+34]; 3];
 
 
 
 
−
+
=Matrix Operators=
 
|a|;
 
|a|;
 +
 
|10|;
 
|10|;
 +
 
a=|44|
 
a=|44|
 +
 
b=34
 
b=34
 +
 +
 +
*[[ Z_API_Functions | See Also - Z3 Functions ]]
 +
*[[ Z%5E3_Language_Documentation| See Also - Z3 Language ]]
 +
 +
 +
 +
=Object Initialization=
 +
 
a=[3,4,2..20]
 
a=[3,4,2..20]
 +
 
a={"car":a}
 
a={"car":a}
 +
 +
=Creating Multi-Dimensional Matrices of Required Sizes=
 
a=|4x3x3|
 
a=|4x3x3|
−
+
 
−
a=|3||*||4|
+
=Matrix Operators=
 +
 
 +
a=|3||*||4| //doesn't work
 +
 
 
a=|5x5|  
 
a=|5x5|  
 +
 
a=|5|
 
a=|5|
 +
 
|10x3|
 
|10x3|
 +
 
a=a|x+3|b;
 
a=a|x+3|b;
 +
 
a=|5||+||5|
 
a=|5||+||5|
 +
 
a=|5||\||5| //for INTDIV
 
a=|5||\||5| //for INTDIV
 +
 
a=|5||/\||5| //for DIVPARTS
 
a=|5||/\||5| //for DIVPARTS
 +
 
a=|5||%||5| //for MATRIXMOD
 
a=|5||%||5| //for MATRIXMOD
−
+
 
 
a=|3||CHIDIST||4| // should we make this CHIDIST with MOP? Could decide later for MATRIXOPS
 
a=|3||CHIDIST||4| // should we make this CHIDIST with MOP? Could decide later for MATRIXOPS
 +
 
1..100@"x^2"
 
1..100@"x^2"
 +
 +
 +
*[[ Z%5E3_Language_Documentation | See Also - Z3 Language Documentation ]]
 +
 +
=Regular Expressions=
 +
 +
a=["cat","dog","rat"];
 +
 +
a.filter(
 +
 +
x=>x.match(/(o|t)/)
 +
 +
)
 +
 +
Output: cat dog rat
 +
 +
 +
 +
a=["cat","dog","rat","rat1"];
 +
 +
a.map(
 +
 +
x=>x.match(/[0-9]/)
 +
 +
)
 +
 +
Output: null null null 1
 +
 +
 
 +
       
 +
a=["cat","dog","r2iat","rat1"];
 +
 +
a.filter(
 +
 +
x=>x.match(/[hc]?at/)
 +
 +
)
 +
 +
Output: cat r2iat rat1
 +
 +
 +
 +
a=13;
 +
 +
b=34;
 +
 +
a..b
 +
 
 +
Output: 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34
 +
 +
 +
 +
5√(1..34)
 +
 +
 +
(2..5)√(10..34)
 +
 +
 +
 
 +
a=45m;
 +
 +
c=56cm;
 +
 +
a<+>c
 +
 +
Output: 4556cm
 +
 +
 +
=Combinatorial Arguments and Implicit Looping=
 +
 
CHIDIST(1..100,2..3) .graph(1,0)
 
CHIDIST(1..100,2..3) .graph(1,0)
 +
 +
 +
[Other]
 +
 
[1..2,1..4,1..20]@"x^3+y^2+z^3"
 
[1..2,1..4,1..20]@"x^3+y^2+z^3"
 +
 
FOR 20..30 "det(MAGICSQUARE(x))";
 
FOR 20..30 "det(MAGICSQUARE(x))";
 +
 
a=FOR 1..100 SIN;
 
a=FOR 1..100 SIN;
 +
 
a= FOR 20..30 "det(MAGICSQUARE(x))";
 
a= FOR 20..30 "det(MAGICSQUARE(x))";
 +
 +
 
var a=FOR 20..30 "det(MAGICSQUARE(x))";
 
var a=FOR 20..30 "det(MAGICSQUARE(x))";
 +
 
var a=FOR 20..30 "det(MAGICSQUARE(x))",b=FOR 1..100 COS;
 
var a=FOR 20..30 "det(MAGICSQUARE(x))",b=FOR 1..100 COS;
 +
 
radpiby3
 
radpiby3
 +
 
a=SIN(radpiby3)
 
a=SIN(radpiby3)
 +
 
1..100.fillwith(1..10)
 
1..100.fillwith(1..10)
 +
 
(1..100).fillwith(1..10)
 
(1..100).fillwith(1..10)
 +
 
(1..100..10).fillwith(1..10)
 
(1..100..10).fillwith(1..10)
 +
 
1..100.fillwith(10..100).$(CIRCLE)
 
1..100.fillwith(10..100).$(CIRCLE)
 +
 
1..100 .fillwith(10..100).$(CIRCLE)
 
1..100 .fillwith(10..100).$(CIRCLE)
 +
 
1..100..130.fillwith(10..100).$(CIRCLE)
 
1..100..130.fillwith(10..100).$(CIRCLE)
 +
 
SIN@1..100@COS
 
SIN@1..100@COS
 +
 
SIN@1..100
 
SIN@1..100
 +
 
1..100@COS
 
1..100@COS
 +
 
1..100..10@COS
 
1..100..10@COS
 +
 
1..100..10.fillwith(10..100).$(CIRCLE)
 
1..100..10.fillwith(10..100).$(CIRCLE)
 +
 
1..100.23..1023.1 .fillwith(10..1020).$(CIRCLE)   
 
1..100.23..1023.1 .fillwith(10..1020).$(CIRCLE)   
 +
 
1..100..10.fillwith(1..10)
 
1..100..10.fillwith(1..10)
 +
 
FOR 20..30 "det(MAGICSQUARE(x))";
 
FOR 20..30 "det(MAGICSQUARE(x))";
−
+
 
 
FOR 20..30 "det(MAGICSQUARE(x))";
 
FOR 20..30 "det(MAGICSQUARE(x))";
 +
 
FOR 20..30 "det(MAGICSQUARE(x))";
 
FOR 20..30 "det(MAGICSQUARE(x))";
 +
 
1...100.0343..103.fillwith(1..10)
 
1...100.0343..103.fillwith(1..10)
 +
 
 
 +
 
a=[1  (a+b); 2;[3,4]; 3]
 
a=[1  (a+b); 2;[3,4]; 3]
 +
 +
=Javascript Code & Z3=
 +
 
function z()
 
function z()
 
{
 
{
Line 74: Line 216:
 
}
 
}
 
}
 
}
 +
 
function ()
 
function ()
 
{
 
{
Line 81: Line 224:
 
}
 
}
 
}
 
}
 +
 
A=(|3x4|@4.3)@SIN
 
A=(|3x4|@4.3)@SIN
 +
 
|4|.$i([SUM,SIN,COS]);
 
|4|.$i([SUM,SIN,COS]);
 +
 
|4|.$i(SUM,SIN,COS)
 
|4|.$i(SUM,SIN,COS)
 +
 
[["cats1","dogs1"],"birds"]<<<[[2,[COS]],[SIN]]
 
[["cats1","dogs1"],"birds"]<<<[[2,[COS]],[SIN]]
 +
 
[["cats1","dogs1"],"birds"]<<<<[[2,[COS]],[SIN]]
 
[["cats1","dogs1"],"birds"]<<<<[[2,[COS]],[SIN]]
 +
 
[["cats1","dogs1"],"birds"]>>>>[[2,[COS]],[SIN]]
 
[["cats1","dogs1"],"birds"]>>>>[[2,[COS]],[SIN]]
 +
 +
=Series Comprehension=
  
 
[#a-z,#A-Z,1..10,4..500]
 
[#a-z,#A-Z,1..10,4..500]
 +
 
a=#a-z
 
a=#a-z
 +
 
a=#1/1/16
 
a=#1/1/16
 +
 
var a=#;
 
var a=#;
 +
 
b=#;
 
b=#;
 +
 
c=#;
 
c=#;
 +
 
d=#;
 
d=#;
−
PMT(#1/1/2011,#2/2012) // worked
+
 
 +
PMT(#1/1/2011,#2/2012) // did not work
 +
 
 
var a=#a-x;
 
var a=#a-x;
 +
 
b=#1/1/2011;
 
b=#1/1/2011;
 +
 
a = a < 34 ? 3
 
a = a < 34 ? 3
 +
 +
=Range Referencing=
 +
 
#TABLE3!A3:E6  
 
#TABLE3!A3:E6  
 +
 
a=#TABLE3!A3:E6  
 
a=#TABLE3!A3:E6  
 +
 
a=#A3:E6  
 
a=#A3:E6  
 +
 
a=SIN(#D8:E11,#H11:K12)
 
a=SIN(#D8:E11,#H11:K12)
 +
 
#TABLE3!A3:E6  
 
#TABLE3!A3:E6  
 +
 
a=#TABLE3!A3:E6  
 
a=#TABLE3!A3:E6  
 +
 
a=#A3:E6  
 
a=#A3:E6  
 +
 
#D8:E11  
 
#D8:E11  
 +
 
#TABLE3!A3:E6  
 
#TABLE3!A3:E6  
 +
 
[1,2,undefined,#].$(SIN)
 
[1,2,undefined,#].$(SIN)
 +
 
a=[#1/1/2011,#2/2/2015]  
 
a=[#1/1/2011,#2/2/2015]  
 +
 
[1,2,undefined].$(SIN)  
 
[1,2,undefined].$(SIN)  
 +
 
[1,2,undefined,#].$(SIN)
 
[1,2,undefined,#].$(SIN)
 +
 
v:=u+a*t
 
v:=u+a*t
 +
 
E=m*c^2;
 
E=m*c^2;
 +
 +
=Simple, Beautiful Notations=
 +
 
a=5!;
 
a=5!;
 +
 +
b=5%;
 +
 
a=(a+x)!;
 
a=(a+x)!;
 +
 
a=(a+x)*!34;
 
a=(a+x)*!34;
 +
 
a=(5!)!
 
a=(5!)!
 +
 
a=5!! will not work.
 
a=5!! will not work.
 +
 
a=34!P!3
 
a=34!P!3
 +
 
a=34!C!3
 
a=34!C!3
 +
 
a=34!P!3!C!3
 
a=34!P!3!C!3
 
 
 
var a=2;
 
var a=2;
 +
 
v:=u+a*t;
 
v:=u+a*t;
 +
 
var b=3;
 
var b=3;
 
 
 
var a=2;
 
var a=2;
 +
 
var v:=u+a*t;
 
var v:=u+a*t;
 +
 
var b=3;
 
var b=3;
 +
 
 
 
var a=2;
 
var a=2;
 +
 
var v:=u+a*t;
 
var v:=u+a*t;
 +
 
var b=3;
 
var b=3;
 
 
 
var a=2;
 
var a=2;
 +
 
var v:=u+a*t,d=34;
 
var v:=u+a*t,d=34;
 +
 
var b=3;
 
var b=3;
  
Line 142: Line 341:
 
 
 
# means undefined by itself.
 
# means undefined by itself.
 +
 
ad := a+b
 
ad := a+b
 +
 
1..3**3.$d (SIN)  
 
1..3**3.$d (SIN)  
 +
 
(1..3**3).$d (SIN)  
 
(1..3**3).$d (SIN)  
 
 
 
PRODUCT(n..1..-3)
 
PRODUCT(n..1..-3)
 +
 
a=#,b=#,c=#
 
a=#,b=#,c=#
 +
 
FACTTRIPLE=PRODUCT(n..1..-3)
 
FACTTRIPLE=PRODUCT(n..1..-3)
 +
 
FACTTRIPLE:=PRODUCT(n..1..-3)   
 
FACTTRIPLE:=PRODUCT(n..1..-3)   
 +
 +
=Conditional Matrix Projection=
 +
 
1..10|x<4|
 
1..10|x<4|
  
 
1..10|x?x<4|
 
1..10|x?x<4|
 +
 
1..10|x?x<4:u|
 
1..10|x?x<4:u|
 +
 
1..10|x?x<4:u|1..10
 
1..10|x?x<4:u|1..10
 +
 
1..10|x?u+x<4:u|1..10
 
1..10|x?u+x<4:u|1..10
−
+
 
 
 
 
|4||x?x<4:false||34| ;
 
|4||x?x<4:false||34| ;
 +
 
|4||x?x<4||34|;
 
|4||x?x<4||34|;
 +
 
|4||x?x<4||34| ;
 
|4||x?x<4||34| ;
 +
 
|4||x?x<4:34+y+z||34|;
 
|4||x?x<4:34+y+z||34|;
 +
 
|4||x?x<4|;
 
|4||x?x<4|;
 +
 
|4||x<4|;
 
|4||x<4|;
 +
 
|1||x<4||x>10|
 
|1||x<4||x>10|
−
+
 
 +
 
 
1..10|x<4&&y>9|2..20
 
1..10|x<4&&y>9|2..20
 +
 
a=3!
 
a=3!
 +
 
a=100..|x+y|3
 
a=100..|x+y|3
 +
 
..100
 
..100
 +
 
10..
 
10..
  
 
1..10|x<4|
 
1..10|x<4|
 +
 
1..10|x<4|34  
 
1..10|x<4|34  
 +
 
1..10|x^3&&x^3<3000?x|w
 
1..10|x^3&&x^3<3000?x|w
 +
  
 
0..10@"SIN(x^2,1..10)" .graph()
 
0..10@"SIN(x^2,1..10)" .graph()
 +
 
0..10@("SIN(x^2,1..10)" .graph())
 
0..10@("SIN(x^2,1..10)" .graph())
 +
 
0..10@"SIN(x^2,1..23..10)".graph(30).sin()
 
0..10@"SIN(x^2,1..23..10)".graph(30).sin()
 +
 
0..10@"SIN(x^2,1..23..10)".graph(30).sin()
 
0..10@"SIN(x^2,1..23..10)".graph(30).sin()
 +
 
1..1000..100@["x^2",COS] .graph()   
 
1..1000..100@["x^2",COS] .graph()   
  
 
0..10@"SIN(x^2,1..10)" .graph()
 
0..10@"SIN(x^2,1..10)" .graph()
 +
 
0..10@("SIN(x^2,1..10)" .graph())
 
0..10@("SIN(x^2,1..10)" .graph())
 +
 
0..10@"SIN(x^2,1..23..10)".graph(30).sin()
 
0..10@"SIN(x^2,1..23..10)".graph(30).sin()
 +
 
0..10@"SIN(x^2,1..23..10)".graph(30).sin()
 
0..10@"SIN(x^2,1..23..10)".graph(30).sin()
 
 
 
0..10@"SIN(x^2,1..10)" .graph()
 
0..10@"SIN(x^2,1..10)" .graph()
 +
 
SIN(x^2,1..10)
 
SIN(x^2,1..10)
 +
 
 
 
1..3**3.$d (SIN)  
 
1..3**3.$d (SIN)  
 +
 
(1..3**3).$d (SIN)  
 
(1..3**3).$d (SIN)  
 +
 
 
 
(1..1000..100@["x^2",COS] .$(SIN)) @SIN
 
(1..1000..100@["x^2",COS] .$(SIN)) @SIN
 +
 
0..10@"SIN(x^2)" .graph()
 
0..10@"SIN(x^2)" .graph()
 +
 
0..10@"SIN(x^2)".graph()
 
0..10@"SIN(x^2)".graph()
 +
 
1..10|x<4|34
 
1..10|x<4|34
 +
 
1..10|(x?x<4)|
 
1..10|(x?x<4)|
 +
 
var a=FOR 20..30 "det(MAGICSQUARE(x))", b=FOR 1..100 COS;
 
var a=FOR 20..30 "det(MAGICSQUARE(x))", b=FOR 1..100 COS;
 
 
 +
 
a=[1*(a+b); 2;[3,4+34]; 3]  
 
a=[1*(a+b); 2;[3,4+34]; 3]  
 +
 
|a|
 
|a|
 
|10|
 
|10|
 
 
−
a=[1*(a+b); 2;[3,4+34]; 3]; |a|; |10|
+
a=[1*(a+b); 2;[3,4+34]; 3]; |a|; |10|
−
PMT(100000,44%,40)
+
 +
PMT(4%, 12, 100000)
 +
 
 
a=FOR(PMT, 100000,41% ,1..12)
 
a=FOR(PMT, 100000,41% ,1..12)
 +
 
 
 
pmt12:=PMT(x,y,12);
 
pmt12:=PMT(x,y,12);
 +
 
PMT(1000,26%)
 
PMT(1000,26%)
 +
 
vary...
 
vary...
 +
 +
=Program Code in Any Language=
 
 
 
Θ=3+x;
 
Θ=3+x;
 +
 
Θ(34)
 
Θ(34)
 +
 
അത:=34+അതx;
 
അത:=34+അതx;
 +
 
അത(4)
 
അത(4)
−
+
 
 +
=Z3 and JS=
 +
 
 +
The can be intermixed, and it works beautifully. There are very few things you need to think about mixing syntax.
 +
 
 
/*Enter Code Here in Z3/Javascript...*/
 
/*Enter Code Here in Z3/Javascript...*/
 +
 
var a=10;
 
var a=10;
 +
 
for(var b=1;b<a;b++)
 
for(var b=1;b<a;b++)
 +
 
{
 
{
 +
 
  console.log(b)
 
  console.log(b)
 +
 
}   
 
}   
 +
 
 
 
/*Enter Code Here in Z3/Javascript...*/
 
/*Enter Code Here in Z3/Javascript...*/
 +
 
function test()
 
function test()
 +
 
{
 
{
 +
 
  var a=25;
 
  var a=25;
 +
 
  c=[]
 
  c=[]
 +
 
  for(var b=1;b<a;b++)
 
  for(var b=1;b<a;b++)
 +
 
  {
 
  {
 +
 
c.push(b)
 
c.push(b)
 +
 
  }   
 
  }   
 +
 
  return(c);
 
  return(c);
 +
 
}
 
}
 +
 
test()
 
test()
 +
 +
*[[ Array_Manipulation | See Also - Z3 Array Manipulation ]]
 +
*[[ Z_API_Functions | See Also - Z3 API Functions List ]]
 +
 +
 +
 +
=More Commands and Programs to try=
 +
 +
test:=x!;
 +
 +
test(3);
 +
 +
// NEW
 +
 +
1..67..4@[SIN,COS] .graphin()
 +
 +
1..(160%19)@SIN
 +
 +
a=radpiby3;
 +
 +
c=a@SIN;
 +
 +
c.graphin()
 +
 +
//check
 +
 +
 +
deg222by3
 +
 +
rad2piby3
 +
 +
a=radpiby3 |*| 2
 +
 +
rad2piby3
 +
 +
radpiby3 |*| 2
 +
 +
a=radpiby3 |*| 3
 +
 +
 +
 +
//http://www.tribology-abc.com/calculators/default.htm
 +
//drag-drop calculate.
 +
 +
LOAD("loans")
 +
 +
LOAN(10000,12%,12)
 +
 +
LOAN(10000,12%3, 0)
 +
 +
 +
LOAD("loans")
 +
 +
LOAN(10000,12%,12).PAYMENTS()
 +
 +
 +
LOAD("countries")
 +
 +
COUNTRY(3..23)
 +
 +
LOAD("elements")
 +
 +
ELEMENT(3..23)
 +
 +
THINK "Jaipur"
 +
 +
 +
|10|.fillwith(10..1000) |*| 20
 +
 +
|4|.fillwith(34..200..3).$("2*x^3")
 +
 +
 +
a=radpiby4 |*| 28
 +
 +
a=|5||++||6|
 +
 +
CAL(6..11,2012)
 +
 +
 +
 +
["sunny"]<<<[[1..10]]
 +
 +
SIN(sunny)
 +
 +
 +
morethanthree:=u>3
 +
 +
1..10@morethanthree
 +
 +
 +
1..10|++|2..20
 +
 +
 +
mary=[SIN,COS,TAN]
 +
 +
1..10@mary
 +
 +
["divya"]<<<["SIN(x)+COS(x)+x^2"]
 +
 +
1..10@divya
 +
 +
 +
 +
["sunny","sneha"]<<<[[1..100],[500..1000]]
 +
 +
sunny
 +
 +
sneha
 +
 +
 +
 +
c=1..35@SIN .graphin()
 +
 +
d=1..100;
 +
 +
 +
[49,31,#].$(z^2)
 +
 +
vs.
 +
 +
[49,31,#].$("z^2")
 +
 +
 +
 +
a=#TABLE1!B1:B1*46
 +
 +
a=#TABLE1!B1*46 // has issues.
 +
 +
a=#TABLE1!B1:B1*462
 +
 +
a=#TABLE1!B1*462
 +
 +
a=(#1/1/2012-2/1/2012).length
 +
 +
|4|.fillwith(34..200..3).$("2*x^3")
 +
 +
 +
 +
 +
a=2..9|*|TRANSPOSE(2..9)
 +
 +
 +
 +
(2..3)~ for transpose.
 +
 +
a=2..9|*|(2..9)~; //for transpose.
 +
 +
((2..3)~)*34
 +
 +
(2..3)*~34
 +
 +
//~ for transpose.
 +
 +
 +
a=|3|
 +
 +
a~;
 +
 +
 +
 +
a=(#TABLE1!B1)~*46
 +
 +
 +
 +
 +
/* Showing intermediate output */
 +
 +
a=1..100;
 +
 +
OUTPUT(a);
 +
 +
 +
 +
a=1..25;
 +
 +
OUTPUT(a);
 +
 +
 +
b=SUM(a);
 +
 +
 +
[a,b]
 +
 +
 +
 +
Obi:=z^3;
 +
 +
d=FOR Obi 1..431;
 +
 +
SUM(d)
 +
 +
 +
 +
c8:=u+a*t
 +
 +
c8
 +
 +
 +
 +
SETVALUE(#TABLE1!B2:D5,1100);
 +
 +
// sets into calci such values. TABLE1 needs to be opened through 'New-->Calci'
 +
 +
SETVALUE(#TABLE1!B2:D5,1..100);
 +
 +
 +
 +
 +
1..1100.chunks(3) did not parse.
 +
 +
SETVALUE(#TABLE1!B2:D5,54..100.chunks(2));
 +
 +
SETVALUE(#TABLE1!B2:D5,54..100.chunks(2)~);
 +
 +
 +
 +
 +
1..100.fillwith(1..10)
 +
 +
 +
1..1100.chunks(3)
 +
 +
 +
 +
2Space!zcontrol2
 +
 +
FOR "SUM(1..x)" 1...1000000000...100
 +
 +
 +
 +
b=|4|
 +
 +
b.fillwith(1..123);
 +
 +
SIN(1..34)
 +
 +
a=1..20;
 +
 +
a.fillwith(2..3);
 +
 +
 +
 +
 +
d=13;
 +
 +
SUM(d..10..-1)
 +
 +
 +
 +
b=1..100;
 +
 +
function Jay(x)
 +
 +
{
 +
 +
return(x+34)
 +
 +
}
 +
 +
1..100@Jay
 +
 +
 +
 +
a:=π*r^2;
 +
 +
 +
a=|3|;
 +
 +
α:=π*r^2;
 +
 +
α(39);
 +
 +
 +
 +
 +
Σ(1..100);
 +
 +
 +
r=1..100@"π*r^2";
 +
 +
 +
θ=1..5;
 +
 +
SIN(θ);
 +
 +
 +
 +
ctrl+g type greek name or unicode code and select and press ctrl+g to get the conversion into code.
 +
ctrl+u for uppercase greek etc.
 +
ctrl+space for hints.
 +
 +
 +
 +
sigma select ctrl+u gets Σ and then Σ(1..100).
 +
 +
 +
 +
മോോ=1..100;
 +
 +
ഐങ=2|*|മോോ
 +
 +
 +
 +
a="🍏🍎";
 +
 +
function x(n){return(REPEATCHAR(a,n))}
 +
 +
1..100@x
 +
 +
 +
 +
success="🍤";
 +
 +
1..100.map(()=>success);
 +
 +
 +
 +
ഒട്ടക൦=34;
 +
 +
ഒട്ടക൦=44+ഒട്ടക൦;
 +
 +
 +
 +
Yurttas:=SIN(c..30)
 +
 +
Yurttas(28)
 +
 +
 +
 +
(1..1000..100@["x^2",COS] .$(SIN))@SIN
 +
 +
 +
fx:=SERIESSTR("x*3*_x+",1..x).join("")
 +
 +
1..10@fx
 +
 +
 +
 +
 +
a=|3|;
 +
 +
(a).rotate(45)
 +
 +
 +
 +
function das(x)
 +
 +
{
 +
 +
var adi=3;
 +
 +
return(adi+x)
 +
 +
}
 +
 +
das(4);
 +
 +
 +
 +
function fact(x)
 +
 +
{
 +
 +
return(x<1?1:fact(x-1)*x)
 +
 +
}
 +
 +
fact(19)
 +
 +
 +
 +
তণ=0;
 +
 +
FOR 1..(তণ+4) SIN;
 +
 +
 +
 +
 +
v:=u+a*t;
 +
 +
ARRAYFY(v);
 +
 +
v(1..10,2..3,10..12);
 +
 +
 +
 +
//think of why this is not accurate.
 +
 +
// the matrix comes in incorrectly.
 +
 +
// Seems like it needs v:=u+a[0][0]*t;
 +
 +
 +
 +
v:=u[0]+a*t;
 +
 +
ARRAYFY(v,[0]);
 +
 +
v(1..10,2..3,10..12);
 +
 +
 +
 +
 +
BOTTOMN([[1,2],[3,4],[4,5]],1..2)
 +
 +
TOPN([[1,2],[3,4],[4,5]],1..2)
 +
 +
 +
 +
 +
VLOOKUP(5, [1..10]~, 1,TRUE)
 +
 +
// note ! is required to make it into a 2-D array. Any other tricks we could suggest?
 +
 +
VLOOKUP(21..26,|5|.fillwith(11..50), 1..5,FALSE)
 +
 +
 +
 +
 +
(1..10~)
 +
 +
(1..10)~ // this makes a 2D array to be more accurate.
 +
 +
(1..10)
 +
 +
 +
 +
 +
 +
VLOOKUP(21..26,|5|.fillwith(11..50), 1..5,FALSE)
 +
 +
 +
function x1(x){return(x+34)};x1(304)
 +
 +
   
 +
 +
 +
todo
 +
 +
 +
a=|4 2 3|
 +
 +
 +
// had issue with VariableExpression.
 +
 +
 +
// when do we var nowmark=Z3SetBookmark(); // when do we unset this?
 +
 +
SELECT * FROM A
 +
 +
 +
Free Form Calci - Test from forms like:
 +
http://www.tribology-abc.com/calculators/default.htm
 +
 +
 +
 +
*[[ Z_API_Functions| See also - Z3 API Functions List ]]
 +
*[[ Z3 | << Z3 Home ]]

Latest revision as of 04:57, 4 January 2022

Following are test cases to try out in ZCubes. Please note that the examples follow z^3 Language. Apart from being simple, z^3 language also give you full programming capability of Javascript and more, as the language enhances and converts to Javascript internally. z^3 runs within browsers, desktops, servers, web-servers, etc., and provides a full scale experience to the users, in all modes, operating systems and platforms of computing.


Simple Matrix Creation

a=[1 2; 3]

a=[[1,2],[3]]

a=[1 2; 3 4]

a=[1 20; 2 3]

a=[[1, 20],[2, 3]]

a=[[1, 20],[2, [3 4]]];

a=[[1, 20],[2, [3; 4]]];

a=[[1, 20],[2, [3; 4;]]]; // worked with after 4 nothing was taken. Is that something to change later? with a null?

a=[1 20; 2;[3,4]; 3]

a=[1, (a+b); 2;[3,4]; 3]

a=[1*(a+b); 2;[3,4]; 3]

a=[1*(a+b); 2;[3,4+34]; 3];


Matrix Operators

|a|;

|10|;

a=|44|

b=34



Object Initialization

a=[3,4,2..20]

a={"car":a}

Creating Multi-Dimensional Matrices of Required Sizes

a=|4x3x3|

Matrix Operators

a=|3||*||4| //doesn't work

a=|5x5|

a=|5|

|10x3|

a=a|x+3|b;

a=|5||+||5|

a=|5||\||5| //for INTDIV

a=|5||/\||5| //for DIVPARTS

a=|5||%||5| //for MATRIXMOD

a=|3||CHIDIST||4| // should we make this CHIDIST with MOP? Could decide later for MATRIXOPS

1..100@"x^2"


Regular Expressions

a=["cat","dog","rat"];

a.filter(

x=>x.match(/(o|t)/)

)

Output: cat dog rat


a=["cat","dog","rat","rat1"];

a.map(

x=>x.match(/[0-9]/)

)

Output: null null null 1


a=["cat","dog","r2iat","rat1"];

a.filter(

x=>x.match(/[hc]?at/)

)

Output: cat r2iat rat1


a=13;

b=34;

a..b

Output: 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34


5√(1..34)


(2..5)√(10..34)


a=45m;

c=56cm;

a<+>c

Output: 4556cm


Combinatorial Arguments and Implicit Looping

CHIDIST(1..100,2..3) .graph(1,0)


[Other]

[1..2,1..4,1..20]@"x^3+y^2+z^3"

FOR 20..30 "det(MAGICSQUARE(x))";

a=FOR 1..100 SIN;

a= FOR 20..30 "det(MAGICSQUARE(x))";


var a=FOR 20..30 "det(MAGICSQUARE(x))";

var a=FOR 20..30 "det(MAGICSQUARE(x))",b=FOR 1..100 COS;

radpiby3

a=SIN(radpiby3)

1..100.fillwith(1..10)

(1..100).fillwith(1..10)

(1..100..10).fillwith(1..10)

1..100.fillwith(10..100).$(CIRCLE)

1..100 .fillwith(10..100).$(CIRCLE)

1..100..130.fillwith(10..100).$(CIRCLE)

SIN@1..100@COS

SIN@1..100

1..100@COS

1..100..10@COS

1..100..10.fillwith(10..100).$(CIRCLE)

1..100.23..1023.1 .fillwith(10..1020).$(CIRCLE)

1..100..10.fillwith(1..10)

FOR 20..30 "det(MAGICSQUARE(x))";

FOR 20..30 "det(MAGICSQUARE(x))";

FOR 20..30 "det(MAGICSQUARE(x))";

1...100.0343..103.fillwith(1..10)


a=[1 (a+b); 2;[3,4]; 3]

Javascript Code & Z3

function z() { if(a<3) { return(false); } }

function () { if(a<3) { return(false) } }

A=(|3x4|@4.3)@SIN

|4|.$i([SUM,SIN,COS]);

|4|.$i(SUM,SIN,COS)

[["cats1","dogs1"],"birds"]<<<[[2,[COS]],[SIN]]

[["cats1","dogs1"],"birds"]<<<<[[2,[COS]],[SIN]]

[["cats1","dogs1"],"birds"]>>>>[[2,[COS]],[SIN]]

Series Comprehension

[#a-z,#A-Z,1..10,4..500]

a=#a-z

a=#1/1/16

var a=#;

b=#;

c=#;

d=#;

PMT(#1/1/2011,#2/2012) // did not work

var a=#a-x;

b=#1/1/2011;

a = a < 34 ? 3

Range Referencing

#TABLE3!A3:E6

a=#TABLE3!A3:E6

a=#A3:E6

a=SIN(#D8:E11,#H11:K12)

#TABLE3!A3:E6

a=#TABLE3!A3:E6

a=#A3:E6

#D8:E11

#TABLE3!A3:E6

[1,2,undefined,#].$(SIN)

a=[#1/1/2011,#2/2/2015]

[1,2,undefined].$(SIN)

[1,2,undefined,#].$(SIN)

v:=u+a*t

E=m*c^2;

Simple, Beautiful Notations

a=5!;

b=5%;

a=(a+x)!;

a=(a+x)*!34;

a=(5!)!

a=5!! will not work.

a=34!P!3

a=34!C!3

a=34!P!3!C!3

var a=2;

v:=u+a*t;

var b=3;

var a=2;

var v:=u+a*t;

var b=3;


var a=2;

var v:=u+a*t;

var b=3;

var a=2;

var v:=u+a*t,d=34;

var b=3;

var a=#a-x,d=#1/1/2011;

# means undefined by itself.

ad := a+b

1..3**3.$d (SIN)

(1..3**3).$d (SIN)

PRODUCT(n..1..-3)

a=#,b=#,c=#

FACTTRIPLE=PRODUCT(n..1..-3)

FACTTRIPLE:=PRODUCT(n..1..-3)

Conditional Matrix Projection

1..10|x<4|

1..10|x?x<4|

1..10|x?x<4:u|

1..10|x?x<4:u|1..10

1..10|x?u+x<4:u|1..10


|4||x?x<4:false||34| ;

|4||x?x<4||34|;

|4||x?x<4||34| ;

|4||x?x<4:34+y+z||34|;

|4||x?x<4|;

|4||x<4|;

|1||x<4||x>10|


1..10|x<4&&y>9|2..20

a=3!

a=100..|x+y|3

..100

10..

1..10|x<4|

1..10|x<4|34

1..10|x^3&&x^3<3000?x|w


0..10@"SIN(x^2,1..10)" .graph()

0..10@("SIN(x^2,1..10)" .graph())

0..10@"SIN(x^2,1..23..10)".graph(30).sin()

0..10@"SIN(x^2,1..23..10)".graph(30).sin()

1..1000..100@["x^2",COS] .graph()

0..10@"SIN(x^2,1..10)" .graph()

0..10@("SIN(x^2,1..10)" .graph())

0..10@"SIN(x^2,1..23..10)".graph(30).sin()

0..10@"SIN(x^2,1..23..10)".graph(30).sin()

0..10@"SIN(x^2,1..10)" .graph()

SIN(x^2,1..10)


1..3**3.$d (SIN)

(1..3**3).$d (SIN)


(1..1000..100@["x^2",COS] .$(SIN)) @SIN

0..10@"SIN(x^2)" .graph()

0..10@"SIN(x^2)".graph()

1..10|x<4|34

1..10|(x?x<4)|

var a=FOR 20..30 "det(MAGICSQUARE(x))", b=FOR 1..100 COS;


a=[1*(a+b); 2;[3,4+34]; 3]

|a| |10|

a=[1*(a+b); 2;[3,4+34]; 3]; |a|; |10|

PMT(4%, 12, 100000)

a=FOR(PMT, 100000,41% ,1..12)


pmt12:=PMT(x,y,12);

PMT(1000,26%)

vary...

Program Code in Any Language

Θ=3+x;

Θ(34)

അത:=34+അതx;

അത(4)

Z3 and JS

The can be intermixed, and it works beautifully. There are very few things you need to think about mixing syntax.

/*Enter Code Here in Z3/Javascript...*/

var a=10;

for(var b=1;b<a;b++)

{

console.log(b)

}


/*Enter Code Here in Z3/Javascript...*/

function test()

{

var a=25;

c=[]

for(var b=1;b<a;b++)

{

c.push(b)

}

return(c);

}

test()


More Commands and Programs to try

test:=x!;

test(3);

// NEW

1..67..4@[SIN,COS] .graphin()

1..(160%19)@SIN

a=radpiby3;

c=a@SIN;

c.graphin()

//check


deg222by3

rad2piby3

a=radpiby3 |*| 2

rad2piby3

radpiby3 |*| 2

a=radpiby3 |*| 3


//http://www.tribology-abc.com/calculators/default.htm //drag-drop calculate.

LOAD("loans")

LOAN(10000,12%,12)

LOAN(10000,12%3, 0)


LOAD("loans")

LOAN(10000,12%,12).PAYMENTS()


LOAD("countries")

COUNTRY(3..23)

LOAD("elements")

ELEMENT(3..23)

THINK "Jaipur"


|10|.fillwith(10..1000) |*| 20

|4|.fillwith(34..200..3).$("2*x^3")


a=radpiby4 |*| 28

a=|5||++||6|

CAL(6..11,2012)


["sunny"]<<<1..10

SIN(sunny)


morethanthree:=u>3

1..10@morethanthree


1..10|++|2..20


mary=[SIN,COS,TAN]

1..10@mary

["divya"]<<<["SIN(x)+COS(x)+x^2"]

1..10@divya


["sunny","sneha"]<<<[[1..100],[500..1000]]

sunny

sneha


c=1..35@SIN .graphin()

d=1..100;


[49,31,#].$(z^2)

vs.

[49,31,#].$("z^2")


a=#TABLE1!B1:B1*46

a=#TABLE1!B1*46 // has issues.

a=#TABLE1!B1:B1*462

a=#TABLE1!B1*462

a=(#1/1/2012-2/1/2012).length

|4|.fillwith(34..200..3).$("2*x^3")



a=2..9|*|TRANSPOSE(2..9)


(2..3)~ for transpose.

a=2..9|*|(2..9)~; //for transpose.

((2..3)~)*34

(2..3)*~34

//~ for transpose.


a=|3|

a~;


a=(#TABLE1!B1)~*46



/* Showing intermediate output */

a=1..100;

OUTPUT(a);


a=1..25;

OUTPUT(a);


b=SUM(a);


[a,b]


Obi:=z^3;

d=FOR Obi 1..431;

SUM(d)


c8:=u+a*t

c8


SETVALUE(#TABLE1!B2:D5,1100);

// sets into calci such values. TABLE1 needs to be opened through 'New-->Calci'

SETVALUE(#TABLE1!B2:D5,1..100);



1..1100.chunks(3) did not parse.

SETVALUE(#TABLE1!B2:D5,54..100.chunks(2));

SETVALUE(#TABLE1!B2:D5,54..100.chunks(2)~);



1..100.fillwith(1..10)


1..1100.chunks(3)


2Space!zcontrol2

FOR "SUM(1..x)" 1...1000000000...100


b=|4|

b.fillwith(1..123);

SIN(1..34)

a=1..20;

a.fillwith(2..3);



d=13;

SUM(d..10..-1)


b=1..100;

function Jay(x)

{

return(x+34)

}

1..100@Jay


a:=π*r^2;


a=|3|;

α:=π*r^2;

α(39);



Σ(1..100);


r=1..100@"π*r^2";


θ=1..5;

SIN(θ);


ctrl+g type greek name or unicode code and select and press ctrl+g to get the conversion into code. ctrl+u for uppercase greek etc. ctrl+space for hints.


sigma select ctrl+u gets Σ and then Σ(1..100).


മോോ=1..100;

ഐങ=2|*|മോോ


a="🍏🍎";

function x(n){return(REPEATCHAR(a,n))}

1..100@x


success="🍤";

1..100.map(()=>success);


ഒട്ടക൦=34;

ഒട്ടക൦=44+ഒട്ടക൦;


Yurttas:=SIN(c..30)

Yurttas(28)


(1..1000..100@["x^2",COS] .$(SIN))@SIN


fx:=SERIESSTR("x*3*_x+",1..x).join("")

1..10@fx



a=|3|; 

	(a).rotate(45)


function das(x)

{

var adi=3;

return(adi+x)

}

das(4);


function fact(x)

{

return(x<1?1:fact(x-1)*x)

}

fact(19)


তণ=0;

FOR 1..(তণ+4) SIN;



v:=u+a*t;

ARRAYFY(v);

v(1..10,2..3,10..12);


//think of why this is not accurate.

// the matrix comes in incorrectly.

// Seems like it needs v:=u+a[0][0]*t;


v:=u[0]+a*t;

ARRAYFY(v,[0]);

v(1..10,2..3,10..12);



BOTTOMN([[1,2],[3,4],[4,5]],1..2)

TOPN([[1,2],[3,4],[4,5]],1..2)



VLOOKUP(5, [1..10]~, 1,TRUE)

// note ! is required to make it into a 2-D array. Any other tricks we could suggest?

VLOOKUP(21..26,|5|.fillwith(11..50), 1..5,FALSE)



(1..10~)

(1..10)~ // this makes a 2D array to be more accurate.

(1..10)



VLOOKUP(21..26,|5|.fillwith(11..50), 1..5,FALSE)


function x1(x){return(x+34)};x1(304)



todo


a=|4 2 3|


// had issue with VariableExpression.


// when do we var nowmark=Z3SetBookmark(); // when do we unset this?

SELECT * FROM A


Free Form Calci - Test from forms like: http://www.tribology-abc.com/calculators/default.htm


Retrieved from "http://wiki.zcubes.com/index.php?title=Z3_Language_Tests&oldid=216809"