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In the project, you are asked to implement an calculator which has the following elements
and definitions:
1. Number:
• As we all know, the calculator is to perform calculations over numbers. The
acceptable formats of numbers in this project include:
• Integer (e.g., −23434, 343545, 0) is a number which is not a fraction. It’s
value’s range is from −1050 to 1050
.
• Real number (e.g.,−23434 .0001 , 0.4343 , 432343 .912 )isthe number which
includes both rational and irrational numbers .In this project ,we represent and
separate areal number aswhole number part,decimal point (i.e.,.), and decimal
part.Specifically,the whole number part,sign and digitslying to the left ofthe
decimal point,isanInteger anditsvalue’srange isfrom −1050 to1050;thedecimal
part isformed by the digits lying on the right ofdecimal point,and the number of
digitsisbetween1to50.Forexample,thewhole
number part, and the decimal part of the real number −23434.0001 are −23434
and 0001 respectively.
• E-notation form of scientific notation (e.g., 3E3, 3.2E3, 3.2E−3, −3.2E−
3) is another form to represent Integer and Real number. The form mEn
corresponds to the number m × n
10, for example, 350 (i.e., 3.5 × 102
) can be
written as 3.5E2. Specifically, the m is an Integer or Real number, and its
absolute value remains at least one but less than ten, i.e., 1 ≤ |m| < 10; the n
is an Integer, and its value’s range is from −49 to 49.
• Hint & Note: (1) as the calculator may compute very large/small numbers,
you may need use arrays to represent numbers. (2) the above mentioned range
of the number is applicable to the input.
2. Basic Operations:
• The basic operations (i.e., addition, subtraction, multiplication, division) follows
the same definition and rules (e.g., the precedence and associativity) of
the C operators. The first four operations has two number operands, annotated
as a and b.
• Addition (+) (e.g., −3434+0.123, 23.3434+0.123, 3.2E−3+3.2). The general
format of it is a + b (no space among a, + and b).
• Subtraction (−) (e.g., −3434 − 0.123, 23.3434 − 0.123, 3.2E − 3 − 3.2). The
general format of it is a − b (no space among a, − and b).
• Multiplication (∗) (e.g., −3434 ∗ 0.123, 23.3434 ∗ 0.123, 3.2E − 3 ∗ 3.2). The
general format of it is a ∗ b (no space among a, ∗ and b).
• Division (/) (e.g., −3434/0.123, 23.3434/0.123, 3.2E − 3/3.2). The general
format of it is a/b (no space among a, / and b). Note that you do not need to
consider the integer division here, for example, the result of 5/2 is 2.5.
3. Arithmetic Expression.
• An arithmetic expression evaluates to a single arithmetic value (i.e., a number).
It can be combined by the operands, basic operations, and parentheses.
• Basic operations. For example, 15.3∗−3434+0.123, 23.3434+0.123/2E1, 3.2E−
1+3.2−6.5∗2/4.0 are the expressions. For the expression 3.2E −1+3.2−6.5∗
2/4.0, we compute it by the following steps (1) 6.5∗2 → 13; (2) 13/4.0 → 3.25;
(3) 3.2E − 1 + 3.2 → 3.52; (4) 3.52 − 3.25 → 0.27.
• Parentheses (()). The parentheses also shares the same rules as them in
the C expression. The precedence of parentheses is higher than those of basic
operations. For example, the steps of computing the expression 3.2E − 1 +
(3.2 − 6.5) ∗ 2/4.0 are (1) (3.2 − 6.5) → −3.3; (2) −3.3 ∗ 2 → −6.6; (3)
−6.6/4.0 → −1.65; (4) 3.2E −1 +−1.65 → −1.33. An expression may contain
multiple parentheses, and the parentheses can be nested, e.g., (3.2E−1+(3.2−
6.5)) ∗ 2/4.0 and (3.2E − 1 + (3.2 − 6.5)) ∗ (2/4.0).
The calculator receives a series of arithmetic expressions and outputs the values of those
expressions respectively.
1. Input:
• The first line of the input is the number of the expressions, annotated as N.
And the given N is guaranteed as valid (i.e, positive integer).
• The following N lines are the expressions S = {si}
N
i=1, and each expression
is given per line. There is a non-negative integer pi and a character ci after
each expression si
. Specifically, (1) there is no space in si
; (2) there is a
space between si and pi and a space between pi and ci
; (3) 0 ≤ pi ≤ 50; (4)
ci = {D, E}.
• Sample input:
4
30.2 2 D
30.2 2 E
6/0.0 2 E
3.2E − 1 + (3.2 − 6.5) ∗ 2/4.0 1 D
2. Output:
• The first line of the output is the text of Result:.
• The following N lines contain the values of the corresponding expressions, and
each value is given per line. For the expression si
, the pi
is the precision of the
value of si
, which means that we round to pi decimal places for the value. The
ci = {D, E} is the output format, and D and E correspond to the Real number
and E-notation form of scientific notation forms respectively.
• If the input expression is invalid (e.g., beyond the range of number, division
by zero, etc.), output the text of Invalid. Otherwise, output the value of the
corresponding expression in correct format.
• Sample output corresponding to the sample input:
Result:
30.20
3.020E1
Invalid
−1.3
3

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