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[RESOLVED] Expression Calculator

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Recently we had reason to use an infix calculator I wrote. During testing two questions came up and I' seeking other opinions.

The first was concerning expressions like -9^2. What does that equal? Pumping that into the Google search bar or Wolfram Alpha it equals -81.
But it appears that both interpret that to mean -(9^2).

The second question was my implementation of multiplication by juxtaposition, especially my giving it a higher precedence than regular multiplication. e.g.

6/2(2+1) = 1 multiplication by juxtaposition
6/2*(2+1)=9

For those unfamiliar with multiplication by juxtaposition here is an explanation.

https://www.youtube.com/watch?v=lLCDca6dYpA


In the section labeled ‘Current Calculators’ in the link below it seems that not all calculators answer the same.

https://www.youtube.com/watch?v=4x-BcYCiKCk


Here are all of the test ran. Format is expression TAB answer. All numbers represented by decimal.

Code:

6/2(2+1)        1
6/2*(2+1)        9
84/14*9/18        3
22/7        3.1428571428571428571428571429
7(3.1428571428571428571428571427)        21.999999999999999999999999999
-4(2+3)/(8-6)        -10
-4(2-3^2)/(8-6)        14
3-5^2        -22
3(2+5)        21
3/3(2+5)        0.1428571428571428571428571429
3/3*(2+5)        7
4*3(4-2(6-3))/3        -8
(8-6)+10        12
(5*9)/(10+5)        3
(8*8)-(11*4)        20
((40*2)-10)/5        14
(16*6)+(30+5)        131
56-25-12/48-29        1.75
20*5-12*5*60-55        -3555
(20*5-12*5*60-55)%10        -5
-1^2        1
-2^2        4
-(2^2)        -4
0-3^2        -9
-3^5        -243
3^-2        0.111111111111111
-3^-2        0.111111111111111
0.5^3        0.125
-0.5^3        -0.125
1,000^2        1000000
√0        0
√24        4.89897948556636
sqrt(24)        4.89897948556636

Math.Pow Test
Code:

        For d As Double = 1.0# To 5.0# Step 1.0#
            Dim ans As Double = Math.Pow(-2.0#, d)
            Debug.WriteLine("-2 raised to {0} = {1}?", d, ans)
        Next


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