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Topic: big float (Read 436 times) |
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bluatigro
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big float
« Thread started on: Dec 3rd, 2015, 11:00am » |
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for calculating whit large floats
i got + - and * ready
need some help whit /
Code:
a$ = "123.45"
b$ = "6.789"
print "a = " ; a$
print "b = " ; b$
print "test a + b = " ; bigAdd$( a$ , b$ )
print "control = " ; val( a$ ) + val( b$ )
print "test a * b = " ; bigMulty$( a$ , b$ )
print "control = " ; val( a$ ) * val( b$ )
print "test a - b = " ; bigMinus$( a$ , b$ )
print "control = " ; val( a$ ) - val( b$ )
print "test a / b = " ; bigDiv$( a$ , b$ )
print "control = " ; val( a$ ) / val( b$ )
end
function komma( byref a$ )
if instr( a$ , "." ) = 0 then a$ = a$ + "."
ak = len( a$ ) - instr( a$ , "." )
l$ = left$( a$ , instr( a$ , "." ) - 1 )
r$ = right$( a$ , ak )
a$ = l$ + r$
komma = ak
end function
function addkomma$( uit$ , k )
if left$( uit$ , 1 ) = "0" then
uit$ = right$( uit$ , len( uit$ ) - 1 )
end if
l$ = left$( uit$ , len( uit$ ) - k )
r$ = right$( uit$ , k )
addkomma$ = l$ + "." + r$
end function
function bigMinus$( a$ , b$ )
ak = komma( a$ )
bk = komma( b$ )
''same number of digits after point
if ak < bk then
a$ = a$ + zero$( bk - ak )
else
b$ = b$ + zero$( ak - bk )
end if
''same number of digits fore point
if len( a$ ) < len( b$ ) then
a$ = zero$( len( b$ ) - len( a$ ) ) + a$
else
b$ = zero$( len( a$ ) - len( b$ ) ) + b$
end if
uit$ = minu$( a$ , b$ )
k = maxi( ak , bk )
bigMinus$ = addkomma$( uit$ , k )
end function
function minu$( a$ , b$ )
a$ = "0" + a$
b$ = "0" + b$
c = 0
uit$ = ""
for i = len( a$ ) to 1 step -1
a = val( mid$( a$ , i , 1 ) )
b = val( mid$( b$ , i , 1 ) )
uit$ = str$( ( a - b - c + 10 ) mod 10 ) + uit$
if a - b - c < 0 then
c = 1
else
c = 0
end if
next i
minu$ = uit$
end function
function maxi( a , b )
uit = a
if b > a then uit = b
maxi = uit
end function
function bigDiv$( a$ , b$ )
ak = komma( a$ )
bk = komma( b$ )
'' i want to do this like :
'' 13 / 123456.0000 \ 8804.3 etc...
'' 114
'' ---
'' 114
'' 114
'' ---
'' 56
'' 52
'' --
'' 4.0
'' 3.9
'' etc...
'' or has anyone a better idea ?
bigDiv$ = uit$
end function
function smal( a$ , b$ )
''look if a < b
''returns 0 if a = b
'' 1 if a < b
'' -1 if a > b
if len( a$ ) < len( b$ ) then smal = 1
if len( a$ ) > len( b$ ) then smal = -1
i = val( mid$( a$ , 1 , 1 ) )
j = val( mid$( b$ , 1 , 1 ) )
k = 2
while i = j and k < len( a$ )
i = val( mid$( a$ , k , 1 ) )
j = val( mid$( b$ , k , 1 ) )
k = k + 1
wend
if i < j then smal = 1
if i > j then smal = -1
smal = 0
end function
function bigAdd$( a$ , b$ )
ak = komma( a$ )
bk = komma( b$ )
''same number of digits after point
if ak < bk then
a$ = a$ + zero$( bk - ak )
else
b$ = b$ + zero$( ak - bk )
end if
uit$ = plu$( a$ , b$ )
k = maxi( ak , bk )
bigAdd$ = addkomma$( uit$ , k )
end function
function bigMulty$( a$ , b$ )
ak = komma( a$ )
bk = komma( b$ )
uit$ = "0"
for i = len( a$ ) to 1 step -1
d = val( mid$( a$ , i , 1 ) )
c$ = maal$( b$ , d ) + zero$( len( a$ ) - i )
uit$ = plu$( uit$ , c$ )
next i
bigMulty$ = addkomma$( uit$ , ak + bk )
end function
function plu$( a$ , b$ )
if len( a$ ) < len( b$ ) then
a$ = zero$( len( b$ ) - len( a$ ) ) + a$
else
b$ = zero$( len( a$ ) - len( b$ ) ) + b$
end if
a$ = "0" + a$
b$ = "0" + b$
c = 0
uit$ = ""
for i = len( a$ ) to 1 step -1
a = val( mid$( a$ , i , 1 ) )
b = val( mid$( b$ , i , 1 ) )
uit$ = str$( ( a + b + c ) mod 10 ) + uit$
c = int( ( a + b + c ) / 10 )
next i
if left$( uit$ , 1 ) = "0" then
uit$ = right$( uit$ , len( uit$ ) - 1 )
end if
plu$ = uit$
end function
function maal$( a$ , d )
c = 0
a$ = "0" + a$
for i = len( a$ ) to 1 step -1
a = val( mid$( a$ , i , 1 ) )
uit$ = str$( ( a * d + c ) mod 10 ) + uit$
c = int( ( a * d + c ) / 10 )
next
if left$( uit$ , 1 ) = "0" then
uit$ = right$( uit$ , len( uit$ ) - 1 )
end if
maal$ = uit$
end function
function zero$( n )
z$ = "00000000000000000000000000000000000000000000000000"
z$ = z$ + z$ + z$ + z$ + z$ + z$ + z$ + z$ + z$ + z$
zero$ = right$( z$ , n )
end function
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Richard Russell
Administrator
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Posts: 1348
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Re: big float
« Reply #1 on: Dec 3rd, 2015, 5:15pm » |
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on Dec 3rd, 2015, 11:00am, bluatigro wrote:for calculating whit large floats
i got + - and * ready
need some help whit / |
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If you don't mind using a DLL there's MAPM (My Arbitrary Precision Math), it can be downloaded here (7z packed).
Richard.
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bluatigro
Full Member
member is offline
Gender:
Posts: 111
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Re: big float
« Reply #2 on: Dec 6th, 2015, 09:00am » |
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@richard :
- it has to work in justbasic to
- so i cant use DLL's
- it is a progariming exercise
to show of my programming skils
[ i want programming as my job ]
update :
- first try at -+* whit negativ floats
error :
- i broke my code
Code:
a$ = "123.45"
b$ = "-6.789"
print "a = " ; a$
print "b = " ; b$
print "test a + b = " ; bigadd$( a$ , b$ )
print "control = " ; val( a$ ) + val( b$ )
print "test a * b = " ; bigmulty$( a$ , b$ )
print "control = " ; val( a$ ) * val( b$ )
print "test a - b = " ; bigminus$( a$ , b$ )
print "control = " ; val( a$ ) - val( b$ )
print "test a / b = " ; bigdiv$( a$ , b$ , 30 )
print "control = " ; val( a$ ) / val( b$ )
end
function bigadd$( a$ , b$ )
sa$ = sign$( a$ )
sb$ = sign$( b$ )
call removezero a$
call removezero b$
if sa$ = "" and sb$ = "" then
uit$ = posbigadd$( a$ , b$ )
end if
if sa$ = "-" and sb$ = "-" then
uit$ = "-" + posbigadd$( a$ , b$ )
end if
if sa$ = "-" and sb$ = "" then
if bigsmal( a$ , b$ ) = 1 then
uit$ = posbigminus$( b$ , a$ )
else
uit$ = "-" + posbigminus$( a$ , b$ )
end if
end if
if sa$ = "" and sb$ = "-" then
if bigsmal( a$ , b$ ) = 1 then
uit$ = "-" + posbigminus$( b$ , a$ )
else
uit$ = posbigminus$( a$ , b$ )
end if
end if
bigadd$ = uit$
end function
function bigminus$( a$ , b$ )
sa$ = sign$( a$ )
sb$ = sign$( b$ )
call removezero a$
call removezero b$
if sa$ = "-" and sb$ = "" then
uit$ = posbigadd$( a$ , b$ )
end if
if sa$ = "" and sb$ = "-" then
uit$ = "-" + posbigadd$( a$ , b$ )
end if
if sa$ = "-" and sb$ = "-" then
if bigsmal( a$ , b$ ) = 1 then
uit$ = posbigminus$( b$ , a$ )
else
uit$ = "-" + posbigminus$( a$ , b$ )
end if
end if
if sa$ = "" and sb$ = "" then
if bigsmal( a$ , b$ ) = 1 then
uit$ = "-" + posbigminus$( b$ , a$ )
else
uit$ = posbigminus$( a$ , b$ )
end if
end if
bigminus$ = uit$
end function
function bigdiv$( a$ , b$ , digits )
bigdiv$ = "todo"
end function
function bigmulty$( a$ , b$ )
sa$ = sign$( a$ )
sb$ = sign$( b$ )
if sa$ <> sb$ then uit$ = "-"
uit$ = uit$ + posbigmulty$( a$ , b$ )
bigmulty$ = uit$
end function
function getpoint( byref a$ )
if instr( a$ , "." ) = 0 then a$ = a$ + "."
ak = len( a$ ) - instr( a$ , "." )
l$ = left$( a$ , instr( a$ , "." ) - 1 )
r$ = right$( a$ , ak )
a$ = l$ + r$
komma = ak
end function
function addpoint$( uit$ , k )
if left$( uit$ , 1 ) = "0" then
uit$ = right$( uit$ , len( uit$ ) - 1 )
end if
l$ = left$( uit$ , len( uit$ ) - k )
r$ = right$( uit$ , k )
addpoint$ = uit$
end function
function bigsmal( a$ , b$ )
ia = instr( a$ , "." )
ib = instr( b$ , "." )
if ia < ib then
uit = 1
else
if ia > ib then
uit = -1
else
if len( a$ ) < len( b$ ) then
uit = 1
else
if len( a$ ) > len( b$ ) then
uit = -1
else
i = ia
while i <= len( a$ ) _
and mid$( a$ , i , 1 ) <> mid$( b$ , i , 1 )
i = i + 1
wend
if mid$( a$ , i , 1 ) < mid$( b$ , i , 1 ) then
uit = 1
else
if i > len( a$ ) then
uit = 0
else
uit = -1
end if
end if
end if
end if
end if
end if
bigsmal = uit
end function
function sign$( byref a$ )
uit$ = ""
if left$( a$ , 1 ) = "-" then
uit$ = "-"
a$ = right$( a$ , len( a$ ) - 1 )
end if
sign$ = uit$
end function
function posbigminus$( a$ , b$ )
ak = getpoint( a$ )
bk = getpoint( b$ )
''same number of digits after point
if ak < bk then
a$ = a$ + zero$( bk - ak )
else
b$ = b$ + zero$( ak - bk )
end if
''same number of digits fore point
if len( a$ ) < len( b$ ) then
a$ = zero$( len( b$ ) - len( a$ ) ) + a$
else
b$ = zero$( len( a$ ) - len( b$ ) ) + b$
end if
a$ = "0" + a$
b$ = "0" + b$
c = 0
uit$ = ""
for i = len( a$ ) to 1 step -1
a = val( mid$( a$ , i , 1 ) )
b = val( mid$( b$ , i , 1 ) )
uit$ = str$( ( a - b - c + 10 ) mod 10 ) + uit$
if a - b - c < 0 then
c = 1
else
c = 0
end if
next i
k = bk
if ak > bk then k = ak
posbigminus$ = addpoint$( uit$ , k )
end function
function posbigdiv$( a$ , b$ , digits )
bigDiv$ = "TODO ."
end function
function oneoverN$(d,dp)
'd=denominator, N here
'dp= decimal places if 1/N doesn't divide exactly
if d = 0 then
oneoverN$ = "0"
exit function 'really division by 0 is undefined
end if
if d = 1 then
oneoverN$ = "1"
exit function
end if
out$ = ""
r = 10
do
while r - d < 0 and len( out$ ) < dp
out$ = out$ + "0"
if len( out$ ) >= dp then quit = 1
r = r * 10
wend
if quit = 0 then
div = int( r / d )
out$ = out$ + str$( div )
r = r - div * d
if len( out$ ) >= dp then quit = 1
r = r * 10
end if
loop until quit or r = 0
oneoverN$ = "." + out$
end function
function posbigadd$( a$ , b$ )
ak = getpoint( a$ )
bk = getpoint( b$ )
''same number of digits after point
if ak < bk then
a$ = a$ + zero$( bk - ak )
else
b$ = b$ + zero$( ak - bk )
end if
''same number of digits fore point
if len( a$ ) < len( b$ ) then
a$ = zero$( len( b$ ) - len( a$ ) ) + a$
else
b$ = zero$( len( a$ ) - len( b$ ) ) + b$
end if
a$ = "0" + a$
b$ = "0" + b$
c = 0
uit$ = ""
for i = len( a$ ) to 1 step -1
a = val( mid$( a$ , i , 1 ) )
b = val( mid$( b$ , i , 1 ) )
uit$ = str$( ( a + b + c ) mod 10 ) + uit$
c = int( ( a + b + c ) / 10 )
next i
k = bk
if ak > bk then k = ak
posbigadd$ = addpoint$( uit$ , k )
end function
function posbigmulty$( a$ , b$ )
ak = getpoint( a$ )
bk = getpoint( b$ )
uit$ = "0"
for i = len( a$ ) to 1 step -1
d = val( mid$( a$ , i , 1 ) )
c$ = maal$( b$ , d ) + zero$( len( a$ ) - i )
uit$ = plu$( uit$ , c$ )
next i
posbigmulty$ = addpoint$( uit$ , ak + bk )
end function
function plu$( a$ , b$ )
if len( a$ ) < len( b$ ) then
a$ = zero$( len( b$ ) - len( a$ ) ) + a$
else
b$ = zero$( len( a$ ) - len( b$ ) ) + b$
end if
a$ = "0" + a$
b$ = "0" + b$
c = 0
uit$ = ""
for i = len( a$ ) to 1 step -1
a = val( mid$( a$ , i , 1 ) )
b = val( mid$( b$ , i , 1 ) )
uit$ = str$( ( a + b + c ) mod 10 ) + uit$
c = int( ( a + b + c ) / 10 )
next i
if left$( uit$ , 1 ) = "0" then
uit$ = right$( uit$ , len( uit$ ) - 1 )
end if
plu$ = uit$
end function
function maal$( a$ , d )
c = 0
a$ = "0" + a$
for i = len( a$ ) to 1 step -1
a = val( mid$( a$ , i , 1 ) )
uit$ = str$( ( a * d + c ) mod 10 ) + uit$
c = int( ( a * d + c ) / 10 )
next
if left$( uit$ , 1 ) = "0" then
uit$ = right$( uit$ , len( uit$ ) - 1 )
end if
maal$ = uit$
end function
function zero$( n )
z$ = "00000000000000000000000000000000000000000000000000"
z$ = z$ + z$ + z$ + z$ + z$ + z$ + z$ + z$ + z$ + z$
zero$ = right$( z$ , n )
end function
sub removezero byref a$
while left$( a$ , 1 ) = "0"
a$ = right$( a$ , len( a$ ) - 1 )
wend
while right$( a$ , 1 ) = "0"
a$ = left$( a$ , len( a$ ) - 1 )
wend
end sub
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| « Last Edit: Dec 6th, 2015, 09:46am by bluatigro » |
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