Version Check

In [0]:
)version
)lisp cl-jupyter::+ispad-version+
)lisp cl-jupyter::*tmp-ispad*

Value = "FriCAS 2014-12-18 compiled at Son Okt 25 19:16:29 CET 2015"

Value = "0.9.6 :: 08-NOV-2015"

Value = ".tmp-ispad-40694.input"
Out[0]:

























Examples












In [1]:



    


f(x) ==
  x>0 => 1
  x=0 => 0
  return -1

















Out[1]:






                                                                   Type: Void




















In [2]:



    


f(12.344)





















Warning: HyperTeX macro table not found
   Compiling function f with type Float -> Integer 








Out[2]:






   1
                                                        Type: PositiveInteger




















In [3]:



    


f(0.0)

















Out[3]:






   0
                                                     Type: NonNegativeInteger




















In [4]:



    


f(-1/7)





















   Compiling function f with type Fraction(Integer) -> Integer 








Out[4]:






   - 1
                                                                Type: Integer




















In [5]:



    


v:Vector(Integer):=[i^2 for i in 1..8]

















Out[5]:






   [1,4,9,16,25,36,49,64]
                                                        Type: Vector(Integer)




















In [6]:



    


M:= matrix [v,2*v,3*v]

















Out[6]:






   +1  4   9   16  25  36   49   64 +
   |                                |
   |2  8   18  32  50  72   98   128|
   |                                |
   +3  12  27  48  75  108  147  192+
                                                        Type: Matrix(Integer)




















In [7]:



    


L:=M*v

















Out[7]:






   [8772,17544,26316]
                                                        Type: Vector(Integer)


























TeX Output












In [8]:



    


)set output tex on

















Out[8]:

























In [9]:



    


M

















Out[9]:





\(
\def\sp{^}\def\sb{_}\def\leqno(#1){}
\def\erf{\mathrm{erf}}\def\sinh{\mathrm{sinh}}
\def\zag#1#2{{{\left.{#1}\right|}\over{\left|{#2}\right.}}}
\def\csch{\mathrm{csch}}
\require{color}
\)

$$
\left[
\begin{array}{cccccccc}
1 & 4 & 9 & {16} & {25} & {36} & {49} & {64} \\ 
2 & 8 & {18} & {32} & {50} & {72} & {98} & {128} \\ 
3 & {12} & {27} & {48} & {75} & {108} & {147} & {192} 
\end{array}
\right]
\leqno(NIL)
$$


\(\\[3ex]\color{blue}\scriptsize\text{Matrix(Integer)}\)



















In [10]:



    


L

















Out[10]:





\(
\def\sp{^}\def\sb{_}\def\leqno(#1){}
\def\erf{\mathrm{erf}}\def\sinh{\mathrm{sinh}}
\def\zag#1#2{{{\left.{#1}\right|}\over{\left|{#2}\right.}}}
\def\csch{\mathrm{csch}}
\require{color}
\)

$$
\left[
{8772}, \: {17544}, \: {26316} 
\right]
\leqno(NIL)
$$


\(\\[3ex]\color{blue}\scriptsize\text{Vector(Integer)}\)



















In [11]:



    


I:=integrate(1/sqrt(1+x^4),x)

















Out[11]:





\(
\def\sp{^}\def\sb{_}\def\leqno(#1){}
\def\erf{\mathrm{erf}}\def\sinh{\mathrm{sinh}}
\def\zag#1#2{{{\left.{#1}\right|}\over{\left|{#2}\right.}}}
\def\csch{\mathrm{csch}}
\require{color}
\)

$$
\int \sp{\displaystyle x} {{1 \over {\sqrt {{{{ \%A} \sp {4}}+1}}}} \  {d 
 \%A}} 
\leqno(NIL)
$$


\(\\[3ex]\color{blue}\scriptsize\text{Union(Expression(Integer),...)}\)



















In [12]:



    


D(I,x,2)

















Out[12]:





\(
\def\sp{^}\def\sb{_}\def\leqno(#1){}
\def\erf{\mathrm{erf}}\def\sinh{\mathrm{sinh}}
\def\zag#1#2{{{\left.{#1}\right|}\over{\left|{#2}\right.}}}
\def\csch{\mathrm{csch}}
\require{color}
\)

$$
-{{2 \  {{x} \sp {3}}} \over {{\left( {{x} \sp {4}}+1 
\right)}
\  {\sqrt {{{{x} \sp {4}}+1}}}}} 
\leqno(NIL)
$$


\(\\[3ex]\color{blue}\scriptsize\text{Expression(Integer)}\)



















In [13]:



    


function(%,G,x)

















Out[13]:





\(
\def\sp{^}\def\sb{_}\def\leqno(#1){}
\def\erf{\mathrm{erf}}\def\sinh{\mathrm{sinh}}
\def\zag#1#2{{{\left.{#1}\right|}\over{\left|{#2}\right.}}}
\def\csch{\mathrm{csch}}
\require{color}
\)

$$
G 
\leqno(NIL)
$$


\(\\[3ex]\color{blue}\scriptsize\text{Symbol}\)



















In [14]:



    


integrate(G(z),z)





















   Compiling function G with type Variable(z) -> Expression(Integer) 








Out[14]:





\(
\def\sp{^}\def\sb{_}\def\leqno(#1){}
\def\erf{\mathrm{erf}}\def\sinh{\mathrm{sinh}}
\def\zag#1#2{{{\left.{#1}\right|}\over{\left|{#2}\right.}}}
\def\csch{\mathrm{csch}}
\require{color}
\)

$$
1 \over {\sqrt {{{{z} \sp {4}}+1}}} 
\leqno(NIL)
$$


\(\\[3ex]\color{blue}\scriptsize\text{Union(Expression(Integer),...)}\)

























Compile Test












In [15]:



    


)co ../spad/jupyter





















   Compiling FriCAS source code from file 
      /home/kfp/Development/fricas_jupyter/static/ipynb/../spad/jupyter.spad
      using old system compiler.
   JUPY abbreviates package jupyter 
------------------------------------------------------------------------
   initializing NRLIB JUPY for jupyter 
   compiling into NRLIB JUPY 
Adding $ modemaps
Adding (String) modemaps
Adding (FileName) modemaps
   compiling local jFormat : (String,String) -> FileName
Adding (TextFile) modemaps
Time: 0.01 SEC.

   compiling exported jHtml : String -> FileName
Time: 0.00 SEC.

   compiling exported jMarkdown : String -> FileName
Time: 0.00 SEC.

   compiling exported jLatex : String -> FileName
Time: 0.00 SEC.

   compiling exported jJavascript : String -> FileName
Time: 0.00 SEC.

Adding (List (String)) modemaps
Adding (Expression (Float)) modemaps
Adding (SegmentBinding (Float)) modemaps
   compiling exported jDraw : (Expression Float,SegmentBinding Float) -> FileName
Adding (GnuDraw) modemaps
Adding (MoreSystemCommands) modemaps
Time: 0.02 SEC.

Adding (Expression (Float)) modemaps
Adding (SegmentBinding (Float)) modemaps
   compiling exported jDraw : (Expression Float,SegmentBinding Float,SegmentBinding Float) -> FileName
Adding (GnuDraw) modemaps
Adding (MoreSystemCommands) modemaps
Time: 0.01 SEC.

Adding (DoubleFloat) modemaps
Adding (List (DoubleFloat)) modemaps
   compiling exported jDrawXY : (List DoubleFloat,List DoubleFloat) -> FileName
Adding (GnuDraw) modemaps
Adding (MoreSystemCommands) modemaps
Time: 0.01 SEC.

(time taken in buildFunctor:  0)


;;;     ***       |jupyter| REDEFINED


;;;     ***       |jupyter| REDEFINED
Time: 0.01 SEC.


   Cumulative Statistics for Constructor jupyter
      Time: 0.06 seconds
 
   finalizing NRLIB JUPY 
   Processing jupyter for Browser database:
--------constructor---------
--------(jHtml ((FileName) (String)))---------
--->-->jupyter((jHtml ((FileName) (String)))): Improper first word in comments: html
"html display in ispad"
--------(jMarkdown ((FileName) (String)))---------
--->-->jupyter((jMarkdown ((FileName) (String)))): Improper first word in comments: markdown
"markdown display in ispad"
--------(jLatex ((FileName) (String)))---------
--->-->jupyter((jLatex ((FileName) (String)))): Improper first word in comments: latex
"latex display in ispad"
--------(jJavascript ((FileName) (String)))---------
--->-->jupyter((jJavascript ((FileName) (String)))): Improper first word in comments: javascript
"javascript display in ispad"
--------(jDraw ((FileName) (Expression (Float)) (SegmentBinding (Float))))---------
--->-->jupyter((jDraw ((FileName) (Expression (Float)) (SegmentBinding (Float))))): Improper first word in comments: GnuDraw
"GnuDraw 2D in Notebook"
--------(jDraw ((FileName) (Expression (Float)) (SegmentBinding (Float)) (SegmentBinding (Float))))---------
--->-->jupyter((jDraw ((FileName) (Expression (Float)) (SegmentBinding (Float)) (SegmentBinding (Float))))): Improper first word in comments: GnuDraw
"GnuDraw 3D in Notebook"
--------(jDrawXY ((FileName) (List (DoubleFloat)) (List (DoubleFloat))))---------
--->-->jupyter((jDrawXY ((FileName) (List (DoubleFloat)) (List (DoubleFloat))))): Improper first word in comments: GnuDraw
"GnuDraw 2D - (\\spad{x},{}\\spad{y}) lists"

; compiling file "/home/kfp/Development/fricas_jupyter/static/ipynb/JUPY.NRLIB/JUPY.lsp" (written 12 NOV 2015 01:09:51 AM):


; /home/kfp/Development/fricas_jupyter/static/ipynb/JUPY.NRLIB/JUPY.fasl written

; compilation finished in 0:00:00.078

------------------------------------------------------------------------
   jupyter is now explicitly exposed in frame initial 
   jupyter will be automatically loaded when needed from 
      /home/kfp/Development/fricas_jupyter/static/ipynb/JUPY.NRLIB/JUPY










Out[15]:

























In [16]:



    


)show JUPY





















 jupyter  is a package constructor
 Abbreviation for jupyter is JUPY 
 This constructor is exposed in this frame.
------------------------------- Operations --------------------------------
 jHtml : String -> FileName            jJavascript : String -> FileName
 jLatex : String -> FileName           jMarkdown : String -> FileName
 jDraw : (Expression(Float),SegmentBinding(Float)) -> FileName
 jDraw : (Expression(Float),SegmentBinding(Float),SegmentBinding(Float)) -> FileName
 jDrawXY : (List(DoubleFloat),List(DoubleFloat)) -> FileName









Out[16]:































jupyter.spad tests












In [17]:



    


gnuDraw(G(x),x=-1..1,"gx.dat")





















   Compiling function G with type Variable(x) -> Expression(Integer) 
   Compiling function %C with type DoubleFloat -> DoubleFloat 








Out[17]:





\(
\def\sp{^}\def\sb{_}\def\leqno(#1){}
\def\erf{\mathrm{erf}}\def\sinh{\mathrm{sinh}}
\def\zag#1#2{{{\left.{#1}\right|}\over{\left|{#2}\right.}}}
\def\csch{\mathrm{csch}}
\require{color}
\)


\(\\[3ex]\color{blue}\scriptsize\text{Void}\)



















In [18]:



    


)system gnuplot -e 'set term png' gx.dat > gx.png

















Out[18]:

























In [19]:



    


"gx.png"::FileName

















Out[19]:
























In [20]:



    


jDraw(sin(x)/x,x=0.1..12*%pi)





















   Compiling function %E with type DoubleFloat -> DoubleFloat 








Out[20]:
























In [21]:



    


)set output tex off
LDF ==> List DoubleFloat
X:=[i for i in 1..20]::LDF
Y:=[random 25 for i in 1..20]::LDF

































Out[21]:






                                                                   Type: Void
   [1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0, 11.0, 12.0, 13.0, 14.0,
    15.0, 16.0, 17.0, 18.0, 19.0, 20.0]
                                                      Type: List(DoubleFloat)
   [14.0, 12.0, 5.0, 1.0, 11.0, 3.0, 5.0, 4.0, 16.0, 7.0, 4.0, 1.0, 17.0, 19.0,
    23.0, 10.0, 18.0, 24.0, 13.0, 17.0]
                                                      Type: List(DoubleFloat)




















In [22]:



    


jDrawXY(X,Y)

















Out[22]:
























In [23]:



    


jDraw(besselJ(1,x)*cos(y),x=0..10,y=0..10)





















   Compiling function %G with type (DoubleFloat,DoubleFloat) -> 
      DoubleFloat 








Out[23]:






























The following file type can be inserted by converting them to FileName:


    

  • .html
    • 

  • .md
    • 

  • .js
    • 

  • .svg
    • 

  • .png
    • 














In [24]:



    


"Flamingo.svg"::FileName

















Out[24]:








  
    
      
      
    
    
      
      
    
    
      
      
    
    
      
      
    
    
      
      
    
    
      
      
    
    
    
    
    
    
    
    
      
    
  
  
  
    
      
        image/svg+xml
        
        
      
    
  
  
    
      
      
      
      
      
      
      
      
      
      
      
    
  




















In [25]:



    


jHtml  "<a href=_"http://www.w3schools.com/html/_">Visit our HTML tutorial</a>"

















Out[25]:




Visit our HTML tutorial


















In [26]:



    


jHtml "<table style=_"width:100%_"> _
  <tr> _
    <td>Jill</td> _
    <td>Smith</td> _
    <td>50</td> _
  </tr> _
  <tr> _
    <td>Eve</td> _
    <td>Jackson</td> _
    <td>94</td> _
  </tr> _
</table>"

















Out[26]:





   
     Jill     Smith     50   
   
     Eve     Jackson     94   
 



















In [27]:



    


jHtml "<p>I will display &euro; and &#169; and &#174;</p>"

















Out[27]:





I will display € and © and ®



















In [28]:



    


jHtml "<p>This is <sub>subscripted</sub> text.</p>"

















Out[28]:





This is subscripted text.



















In [29]:



    


jHtml "<form> _
  First name:<br> _
  <input type=_"text_" name=_"firstname_"> _
  <br> _
  Last name:<br> _
  <input type=_"text_" name=_"lastname_"> _
</form> "

















Out[29]:





   First name:
      
   Last name:
    
 


















In [30]:



    


jHtml "<svg width=_"300_" height=_"200_"> <polygon points=_"100,10 40,198 190,78 10,78 160,198_" _
  style=_"fill:lime;stroke:purple;stroke-width:5;fill-rule:evenodd;_"/> </svg>"

















Out[30]:




  


















In [31]:



    


jHtml  "<select name=_"cars_"> _
<option value=_"volvo_">Volvo</option> _
<option value=_"saab_">Saab</option> _
<option value=_"fiat_">Fiat</option> _
<option value=_"audi_">Audi</option> _
</select>"

















Out[31]:























In [32]:



    


jHtml "$$-\frac{\hbar^2}{2m} \Delta\Psi+V(x)\,\Psi(x)=\ldots$$"

















Out[32]:




$$-\frac{\hbar^2}{2m} \Delta\Psi+V(x)\,\Psi(x)=\ldots$$
























Error tests












In [33]:



    


1/0





















 
   >> Error detected within library code:
   division by zero









Out[33]:






error




















In [34]:



    


besselI(1,23.3)





















SIMPLE-ERROR: 
BesselI not implemented for (1.0 23.299999999999997)








Out[34]:

























In [ ]: