Subversion Repositories wimsdev

# checkt x1=sqrt(123) and x2=sqrt[5](1/3) and x3=4^(1/5) and x4=2*sqrt[7](4)/5

# checkt x1=1/2+sqrt(123)/2 and x2=3-5sqrt[5](1/3)-4 

# sin,cos,tan...

# niet voor complex?

# powersyntax 3e+3 => 3*10^3 

# 3*10**3 => 3*10^3

# error bij "x=sqrt(4)+sqrt(5](5)"  dus bij meerdere wortels/sqrt

# checkt op doublures x1=sqrt(2) x2=(2)^(1/2)

# mag afronden via $rounding

# arglist=x ofiets anders als goede antwoord is x=123 checkt dus op "x="

# goede antwoord is komma lijst met goede oplossingen answer$n

# exact met maxima

# afgerond met pari

###############################

# levert een modulescore !!!! #

##############################

n=$counter

errortext=$empty

goback=0

!if $AAA=$empty

    !if ? isin $(reply$n)

	remark$n=$NOK

	goback=0

	maxscore=0

	!exit

    !endif

    AAA=!lower $(reply$n)

!endif

!if $arglist != $empty

    !for p in $arglist

	AAA=!replace $p[_0-9]*= by @ in $AAA

    !next p

    !if @ notin $AAA

	testvar=<b>$arglist= ?</b>

	errortext=!record 53 of $remarkdir/commonremarks.$taal

	#@Je moet het antwoord wel netjes opschrijven...<br />Wat dacht je van <b>x=</b> je antwoord ?

	maxscore=$[$P1*$maxscore]

	goback=1

	!exit

    !endif

    AAA=!replace internal @ by , in $AAA

!else

    !if $AAA=$empty

	errortext=!record 37 of $remarkdir/commonremarks.$taal

	goback=1

	maxscore=$[$P4*$maxscore]

	!exit

    !endif

!endif

AAA=!words2items $AAA

AAA=!nospace $AAA

!for p=1 to 5

    AAA=!replace internal ,, by , in $AAA

!next p

t=!char 1 of $AAA

!if t=,

    AAA=!char 2 to -1 of $AAA

!endif

t=!char -1 of $AAA

!if t=,

    AAA=!char 1 to -2 of $AAA

!endif

!if $AAA=,

    errortext=!record 37 of $remarkdir/commonremarks.$taal

    goback=1

    maxscore=$[$P4*$maxscore]

 !exit

!endif

### power syntax

!if x10 isin $AAA

    ex=!record 68 of $remarkdir/commonremarks.$taal

    maxscore=$[$P1*$maxscore]

    !if $teaching=1

	goback=1

	errortext=$ex

	!exit

    !else

	!if $extra=$empty

	    extra=$ex

	!else

	    extra=$extra<br />$ex

	!endif

	AAA=!replace internal x10 by *10 in $AAA

    !endif

!else

    test=!replace [0-9]e[0-9] by @ in $AAA

    !if @ isin $test

	maxscore=$[$P1*$maxscore]

	testvar1=!replace internal e by e+ in $AAA

	testvar1=<span color=green>$testvar1</span>

	testvar2=<br /><span color=red>$AAA</span>

	errortext=!record 16 of $remarkdir/commonremarks.$taal

	goback=1

	!exit

    !endif

    AAA=!replace internal ** by ^ in $AAA

    AAA=!replace internal e+ by *10^ in $AAA

    AAA=!replace internal e- by *10^- in $AAA

    !for p=1 to 3

	AAA=!replace internal ** by * in $AAA

    !next p

    t=!char 1 of $AAA

    !if $t=*

	AAA=!char 2 to -1 of $AAA

    !endif

!endif

# rest

!if $varlist = $empty

    vars=x

    # hmmm

!else

    vars=!words2items $varlist

!endif

!for p in sin,tan,cos,abs,sqrt,pi,i,e,$vars

    P=!toupper $p

    AAA=!replace internal $p by $P in $AAA

!next p

AAA=!replace [a-z\@\#\!\%\&\:\;\"\'\_\#\=] by $empty in $AAA

AAA=!lower $AAA

# nu zou AAA een getal moeten zijn?

!if $AAA=$empty

    errortext=!record 37 of $remarkdir/commonremarks.$taal

    goback=1

    maxscore=$[$P4*$maxscore]

 !exit

!endif

ta=!itemcnt $AAA

aaa=$empty

!for p=1 to $ta

    A=!item $p of $AAA

    !if $A != $empty

	!if sqrt isin $A

	    ### try to convert AAA= x*sqrt[p](y) => aaa= x*(y)^(1/p)

	    chk=!positionof sqrt[ in $A

	    chk=!itemcnt $chk

	    !if $chk>1

		errortext=!record 74 of $remarkdir/commonremarks.$taal

		#@Dit programma kan geen antwoorden met meerdere wortels erin nakijken<br />Je kunt $A toch echt wel wat wiskundiger/korter schrijven ?<br />Zo niet dan is dit een "fout in de opdracht" en moet je me maar even mailen...

	        goback=1

		!exit

	    !else

		# special syntax sqrt[]()

		!if $chk=1

		    test=!replace internal sqrt[ by @ in $A

		    !if @ isin $test

			# ook 

		        test=!replace internal ] by @ in $test

			t=!positionof char @ in $test

			t1=!item 1 of $t

			t2=!item 2 of $t

			power=!char $[$t1+1] to $[$t2-1] of $test

			tt=!nospace  sqrt [ $power ]

			A=!replace internal $tt by sqrt in $A

		    !else

			# this is nonsens here

			power=2

			# dus 2 == 1/2 (ofwel gewone wortel)

		    !endif

		    test=!replace internal sqrt( by @# in $A

		    test=!replace internal ( by # in $test

		    test=!replace internal ) by % in $test

		    begin=!positionof char @ in $test

		    tot=!charcnt $test

		    wait=0

		    got=0

		    end=0

		    !for s=$begin to $tot

			!if $end=0

			    ch=!char $s of $test

			    !if $ch=#

				!increase wait

			    !endif

			    !if $ch=%

				!increase got

			    !endif

			    !if $got !=0

				!if $wait=$got

				    end=$s

				!endif

			    !endif

			!endif

		    !next s

		    sqrt=!char $[$begin+2] to $[$end-1] of $test

		    sqrt=!replace internal # by ( in $sqrt

		    sqrt=!replace internal % by ) in $sqrt

		    A=!replace internal sqrt($sqrt) by ($sqrt)^(1/$power) in $A

		!endif

	    !endif

	!endif

	A=!rawmath $A

	aaa=!append item $A to $aaa

    !endif

!next p

g=!itemcnt $(answer$n)

a=!itemcnt $aaa

# corrigeren de score voor vergeten of teveel gevonden antwoorden...

!if $g != $a

    !if $a>$g

	maxscore=$[$maxscore*$g/$a]

    !else

	maxscore=$[$maxscore*$a/$g]

    !endif

!endif

klaar=0

!if $rounding<1

    # exact (0) of nvt (-1)

    maximastring=$empty

    !for i=1 to $g

	G=!item $i of $(answer$n)

	!for s=1 to $a

	    A=!item $s of $aaa

	    maximastring=!append line if rationalize(expand($A)) = rationalize(expand($G)) then 1 else 0; to $maximastring

	!next s

    !next i

    test=!exec maxima $maximastring

!else

    paristring=$empty

    !for i=1 to $g

	G=!item $i of $(answer$n)

	G=$[(round($rounding*($G)))/$rounding]

	!for s=1 to $a

	    A=!item $s of $aaa

	    A=$[(round($rounding*($A)))/$rounding]

	    paristring=!append line if($A==$G,1,0) to $paristring

	!next s

    !next i

    test=!exec pari $paristring

!endif

#errortext=aaa=$aaa ? sqrt=$sqrt maximasrtin=$maximastring TEST=$test

#goback=1

#!exit

!if $wims_exec_error != $empty

    goback=1

    maxscore=$[$P1*$maxscore]

    errortext=!record 39 of $remarkdir/commonremarks.$taal

    #@ je antwoord $(reply$n) is in deze vorm niet na te kijken 

 !exit

!endif

duplicate=0

cnt=$[$g*$a]

tot=0

# test=1 0 0 0 1 0 0 0 1

# g=3 a=3

!for i=1 to $cnt step $g

    t=0

    !for s=$i to $[$i+$a-1]

	p=!line $s of $test

	!ifval $p=1

	    !increase t

	!endif

    !next s

    !ifval $t=1

	tot=$[$tot+$t]

    !else

	!if $t>1

	    duplicate=$[$duplicate+1]

	!endif

    !endif

!next i

!if $duplicate !=0

    testvar=$[2*$duplicate]

    ex=!record 51 of $remarkdir/commonremarks.$taal

    !if $extra=$empty

	extra=$ex

    !else

	extra=$extra <br />$ex

    !endif

!endif

maxscore=$[$maxscore*($tot)/($g)]

modulescore=$[$modulescore + $maxscore]

!if $maxscore>0.9

    remark$n=$OK

!else

    !if $maxscore>0.45

	remark$n=$BOK

    !else

	remark$n=$NOK

    !endif

!endif

!if $extra != $empty

    remark$n=$(remark$n)<br />$extra

!endif

!exit