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FormulaParser

FormulaParser

FormulaParser

Tale primer ni toliko vezan na SQL-InterActive ampak bolj na način programiranja T-SQLa. Ker vemo, kako so programski primeri dragoceni, smo ga kljub temu vključili v navodila.

Primer dobro ilustrira rekurzije, stored procedure. Glavna procedura je namenjena izračunu matematičnih izrazov, ki jih vnesemo v obliki niza alfanumeričnih znakov.

Procedure so narejene tako, da če  umaknemo --!! pred print ukazi, vidimo potek izvajanja in rekurzij.

Pomožna procedura, ki vrne argumente

create procedure [dbo].[dl_PA_ParserGetArg]
  @sExpression varchar(8000),
  @lLeft bit,
  @iOperand int,
  @iLimit integer output,
  @mResult float output,
  @sEr varchar(8000) output

-- test parameters
-- declare
--   @sExpression varchar(8000),
--   @lLeft bit,
--   @iOperand int,
--   @iLimit integer,
--   @mResult money,
--   @sEr varchar(8000)
-- 
-- set @sExpression='2*3'
-- set @lLeft=1
-- set @iOperand=2
-- exec dl_PA_GetArg @sExpression, @lLeft, @iOperand, @iLimit output,@mResult output, @sEr output
--  --!! print '-----'
--  --!! print @iLimit 
--  --!! print cast(@mResult as char)
--  --!! print @sEr

as

declare
  @sTempArg varchar(8000)

set nocount on
set @sTempArg = ' '+@sExpression+' '  --this is only to take care of limits in loop (not to get j[0])
set @iOperand = @iOperand + 1
--!! print '    @sTempArg='+@sTempArg+'#'
--!! print '    @iOperand=' + Str(@iOperand) + '#' + SubString(@sTempArg,@iOperand,1) 
if @lLeft=1
  begin  -- left argument
   set @iLimit = @iOperand - 1
   --!! print '      left arg'
   --!! print '      @iLimit=' + Str(@iLimit) + '#' + SubString(@sTempArg,@iLimit,1) 
   while (@iLimit > 0) and not (SubString(@sTempArg,@iLimit,1) in ('+','-','/','*','\','|'))
     set @iLimit = @iLimit-1
   -- let's check for leading "-" for left arg.
   if @iLimit > 1 
     if SubString(@sTempArg,@iLimit,1) = '-'
        set @iLimit = @iLimit-1
   --!! print '      @iLimit=' + Str(@iLimit) + '#' + SubString(@sTempArg,@iLimit,1) 
   --!! print '      @iLimitg='+cast(@iLimit as varchar)
   set @sTempArg = SubString(@sTempArg,@iLimit+1,@iOperand-@iLimit-1)
   --!! print '      out left @sTempArg='+@sTempArg
  end
else
  begin  -- right argument
    set @iLimit = @iOperand + 1
    --!! print '      right arg'
    --!! print '      @iLimit=' + Str(@iLimit) + '#' + SubString(@sTempArg,@iLimit,1) 
    set @iLimit = @iLimit+1
    --!! print '      Calculating...'
    while (@iLimit <= Len(@sTempArg)) and not (SubString(@sTempArg,@iLimit,1) in ('+','-','/','*','\','|'))
      set @iLimit = @iLimit+1
    --!! print '      @iLimit=' + Str(@iLimit) + '#' + SubString(@sTempArg,@iLimit,1) 
    set @sTempArg = SubString(@sTempArg,@iOperand+1,@iLimit-@iOperand-1)
    --!! print '    out right @sTempArg='+@sTempArg
  end
if @sTempArg = '' 
  begin
    if SubString(@sExpression,@iOperand,1) in ('+','-')  -- this one is for -x / +x handling
      set @mResult = 0
    else
      set @sEr = 'Invalid use of operators in '+@sExpression
  end
else
  begin
    --!! print '    out @sTempArg='+@sTempArg
    set @mResult = Convert(float,@sTempArg,2)
    --!! print '    out @mResult='+Str(@mResult,35,15)
    -- !! check for error here !! Exception handling !!
    --    if code <> 0 then
    --      er = @sExpression+'is not a number!'
    --    else
    --      begin
    set @iLimit = @iLimit - 1
    --      end
  end

Glavna procedura, ki izračuna izraz

create procedure [dbo].[dl_PA_ParseAritNew]
  @sExpression varchar(8000),
  @rResult float output,
  @sEr varchar(8000) output -- @sEr = ''<- brez napake, @sEr <> '' <- napaka v izrazu

-- Warning ! ---
-- Funkcijo vedno klici kot ParseArit(0,izraz,'+',er) !!!!!
-- V izrazu ne sme biti blankov "2+3" = OK / "2 + 3" <> OK !!!!
-- V izrazu ne sme biti nebalanciranih oklepajev (glej test 2)!
-- (c) A. Mertelj, 1997, 2002

as

declare
  @iBrackets int,       -- brackets () counter
  @i int,               -- counter 1
  @j int,               -- counter 2
  @iLen int,            -- length of @sExpression 
  @iLeftLimit int,      -- left argument limit
  @iRightLimit int,      -- right argument limit
  @rLeft float,         -- left argument value
  @rRight float,        -- right argument value
  @lOperatorsExist bit, -- was there an operator in expression
  @sOrigExpression varchar(8000),
  @sTemp varchar(8000)  -- temporal variable

set nocount on  

set @iLen = Len(@sExpression)
set @sOrigExpression = @sExpression
-- correct "+x" into "x"
if SubString(@sExpression,1,1) = '+'
  set @sExpression = Right(@sExpression,@iLen-1)
-- correct "--x" into "x"
set @sExpression = Replace(@sExpression,'--','')
--!! print 'in function exp = ' +@sOrigExpression
if @sEr = '' 
  begin   -- no error on entry
    set @lOperatorsExist = 0
    -- handle brackets ()
    set  @i = Charindex('(',@sExpression)
    if @i > 0 -- @i > 0?
      begin -- there are (,)
        --!! print '  -- there are brackets'
        set @lOperatorsExist = 1
        set @iBrackets = 1
        set @j = @i + 1  
        while (@j <= @iLen) and (@iBrackets > 0) -- find first match
          begin
            if SubString(@sExpression,@j,1) = ')'
              set @iBrackets = @iBrackets-1
            if SubString(@sExpression,@j,1) = '('
              set @iBrackets = @iBrackets+1
            set @j = @j + 1
          end
        set @sTemp = SubString(@sExpression,@i+1,@j-@i-2)
        -- calculate outer pair
        exec dl_PA_ParseAritNew @sTemp,@rResult output,@sEr output 
        --!! print '    ()@rResult='+Str(@rResult,25,10)
        set @sTemp = LTrim(Str(@rResult,35,15))
        --!! print '    ()@sTemp='+@sTemp
        set @sTemp = Replace(@sTemp,',','.')  -- change possible ',' into '.'
        --!! print '    ()@sTemp, after replace ='+@sTemp
        -- replace outer pair with result
        set @sExpression = SubString(@sExpression,1,@i-1)+@sTemp+SubString(@sExpression,@j,@iLen-@j+1)  
        --!! print '    ()@sExpression=' + @sExpression 
      end -- there are (,)
    else  -- @i > 0? nope, no (,)
      begin -- check for *,/
        set @i = 1
        while not (SubString(@sExpression,@i,1) in ('*','/')) and (@i < @iLen) 
          set @i = @i + 1
        if SubString(@sExpression,@i,1) in ('*','/') 
          begin  -- *,/ found
            --!! print '  -- there are *,/  found at position ' + Str(@i)
            set @lOperatorsExist = 1
            exec dl_PA_ParserGetArg @sExpression,1,@i,@iLeftLimit output,@rLeft output,@sEr output
            exec dl_PA_ParserGetArg @sExpression,0,@i,@iRightLimit output,@rRight output,@sEr output
            --!! print '    */@rLeft='+Str(@rLeft,25,15)
            --!! print '    */@rRight='+Str(@rRight,25,15)
            --!! print '    */@sEr='+@sEr
            if @sEr = '' 
              begin
                if SubString(@sExpression,@i,1) = '*' 
                  set  @rResult = @rLeft*@rRight
                else
                  if SubString(@sExpression,@i,1) = '/'
                    exec dl_DivT @rLeft,@rRight,@rResult output
                set @sTemp = LTrim(Str(@rResult,35,15))
                --!! print '    */@rResult='+Str(@rResult,25,10)
                --!! print '    */@sTemp='+@sTemp
                set @sTemp = Replace(@sTemp,',','.')  -- change possible ',' into '.'
                --!! print '    */@sTemp, after replace ='+@sTemp
                --!! print '    */Desni del=#'+ SubString(@sExpression,@iRightLimit,Len(@sExpression)-@iRightLimit+1) + '#'
                -- replace *,/ with result
                if @iLeftLimit > 0
                   set @sExpression = SubString(@sExpression,1,@iLeftLimit) + @sTemp + SubString(@sExpression,@iRightLimit,Len(@sExpression)-@iRightLimit+1)
                else
                   set @sExpression = @sTemp + SubString(@sExpression,@iRightLimit,Len(@sExpression)-@iRightLimit+1)
		--!! print '    */@sExpression(Final)=' + @sExpression 
              end
          end  -- *,/n found
        else
          begin -- check for div, mod
            set @i = 1
            while not (SubString(@sExpression,@i,1) in ('\','|')) and (@i < @iLen)
              set @i = @i + 1
            if SubString(@sExpression,@i,1) in ('\','|')
              begin  -- div, mod found
                --!! print '  -- there are \,| (div,mod)  found at position ' + Str(@i)
                set @lOperatorsExist = 1
                exec dl_PA_ParserGetArg @sExpression,1,@i,@iLeftLimit output,@rLeft output,@sEr output
                exec dl_PA_ParserGetArg @sExpression,0,@i,@iRightLimit output,@rRight output,@sEr output
                --!! print '    \,|@rLeft='+Str(@rLeft,25,15)
                --!! print '    \,|@rRight='+Str(@rRight,25,15)
                --!! print '    \,|@sEr='+@sEr
                if @sEr = ''
                  begin
                    if SubString(@sExpression,@i,1) = '\'
                      begin
                        if @rRight <> 0
                          set @rResult = cast((@rLeft / @rRight + 0.0) as int)
                        else
                          set @rResult = 0
                      end
                    else
                      if SubString(@sExpression,@i,1) = '|'
                        begin
                          if @rRight <> 0
                            set @rResult = cast(@rLeft as int) % cast(@rRight as int)
                          else
                            set @rResult = 0
                        end
                    set @sTemp = LTrim(Str(@rResult,35,15))
                    set @sTemp = Replace(@sTemp,',','.')  -- change possible ',' into '.'
                    -- replace div, mod with result
                    if @iLeftLimit > 0
                      set @sExpression = SubString(@sExpression,1,@iLeftLimit) + @sTemp + SubString(@sExpression,@iRightLimit,Len(@sExpression)-@iRightLimit+1)
                    else
                      set @sExpression = @sTemp + SubString(@sExpression,@iRightLimit,Len(@sExpression)-@iRightLimit+1)
                  end
              end  -- div, mod found
            else
              begin -- check for additions and subtractions
                set @i = 1
                if SubString(@sExpression,@i,1) = '-'
                  set @i = @i + 1
                while not (SubString(@sExpression,@i,1) in ('+','-'))  and (@i < @iLen)
                  set @i = @i + 1
                --!! print '    +,- @i='+cast(@i as varchar)
                if SubString(@sExpression,@i,1) in ('+','-')
                  begin  -- +,- found  
                    --!! print '  -- there are +,-  found at position ' + Str(@i)
                    set @lOperatorsExist = 1
                    exec dl_PA_ParserGetArg @sExpression,1,@i,@iLeftLimit output,@rLeft output,@sEr output
                    exec dl_PA_ParserGetArg @sExpression,0,@i,@iRightLimit output,@rRight output,@sEr output
                    --!! print '    +,- @rLeft='+Str(@rLeft,25,15)
                    --!! print '    +,- @rRight='+Str(@rRight,25,15)
                    --!! print '    +,- @sEr='+@sEr
                    if SubString(@sExpression,@i,1) = '+'
                       set @rResult = @rLeft + @rRight
                    else
                      if SubString(@sExpression,@i,1) = '-'
                        set @rResult = @rLeft - @rRight
                    set @sTemp = LTrim(Str(@rResult,35,15))
                    --!! print '    +-@rResult='+Str(@rResult,25,10)
                    --!! print '    +-@sTemp='+@sTemp
                    set @sTemp = Replace(@sTemp,',','.')  -- change possible ',' into '.'
                    --!! print '    +-@sTemp, after replace ='+@sTemp
                    -- replace +,- with result
                    if @iLeftLimit > 0
                      set @sExpression = SubString(@sExpression,1,@iLeftLimit) + @sTemp + SubString(@sExpression,@iRightLimit,Len(@sExpression)-@iRightLimit+1)
                    else
                      set @sExpression = @sTemp + SubString(@sExpression,@iRightLimit,Len(@sExpression)-@iRightLimit+1)
                    --!! print '    +-@sExpression=' + @sExpression 
                  end -- +,- found
              end  -- check for additions and subtractions
          end  -- check for div, mod
        end  -- check for multiplications, divisions
    if @sEr = ''
      begin  -- no error so far
        if @lOperatorsExist = 1
          begin
            --!! print '  out for recursion orig. @sExpression='+@sExpression+' @sExpression=' + @sExpression
            exec dl_PA_ParseAritNew @sExpression,@rResult output,@sEr output -- parse with value
          end
        else
          begin
            --!! print '  out for orig. @sExpression='+@sExpression+' @sExpression=' + @sExpression
            set @rResult = Convert(float,@sExpression,2)
          end
      end -- no error so far
  end -- no error on entry

Testni primeri

-- test case 1
 declare
   @sExpression varchar(8000),
   @mResult money,
   @sEr varchar(8000)
 set @sExpression='2*3'
 set @sEr = ''
 --!! print @sExpression
 exec dl_PA_ParseAritNew @sExpression, @mResult output,@sEr output
 --!! print '-----'
 --!! print Str(@mResult,35,15)
 --!! print @sEr
--test case 2
 create table _TEST_PARSER
 (
    FORMULA varchar(300),
    TEST money,
    ER varchar(500),
    REZULTAT money
 )
 declare
    @sExpression varchar(8000),
    @mTest float,
    @mResult float,
    @i int,
    @iBrackets int,
    @sEr varchar(8000)
  set nocount on 
  declare crKurzor cursor local fast_forward for 
    select FORMULA,TEST
      from _TEST_PARSER
  open crKurzor
  fetch next from crKurzor into @sExpression,@mTest
  while @@fetch_status = 0 
  while @@fetch_status = 0 
    begin
      -- check for bracket balance
      print '--------------------------------------------------------'
      print ' Testing: ' + @sExpression
      print ' Expected result = ' + Str(@mTest)
      set @i = 1  
      set @iBrackets = 0
      while (@i <= Len(@sExpression))  -- check whole expression
        begin
          if SubString(@sExpression,@i,1) = ')'
            set @iBrackets = @iBrackets-1
          if SubString(@sExpression,@i,1) = '('
            set @iBrackets = @iBrackets+1
          set @i = @i + 1
        end
      if @iBrackets <> 0
        set @sEr = 'Unbalanced brackets in ' + @sExpression
      else
        begin
          set @sEr = ''
          exec dl_PA_ParseAritNew @sExpression, @mResult output,@sEr output
        end
      print ' Calculated result = ' + Str(@mResult)
      if (@mResult = @mTest)
        print ' OK'
      else
        print ' Error (@mResult - @mTest) = ' + Str(@mResult - @mTest)
      print '--------------------------------------------------------'
      update _TEST_PARSER
        set REZULTAT = @mResult,
            ER = @sEr
        where LTrim(RTrim(FORMULA)) = LTrim(RTrim(@sExpression))
      fetch next from crKurzor into @sExpression,@mTest
    end
  close crKurzor
  deallocate crKurzor
  select LTrim(RTrim(FORMULA)) as 'Formula',TEST,REZULTAT,LTrim(RTrim(ER)) as 'ErrorMsg'
    from _TEST_PARSER
      where (TEST <> REZULTAT) or (TEST is null)


 

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