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844f29a803
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| 844f29a803 | |||
| cc3de91036 | |||
| f9a5bcf4b2 |
71
notes/4.md
71
notes/4.md
@@ -83,12 +83,12 @@ L -> S | L,S
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It can be represented as a NFA:
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```python {cmd matplotlib}
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```python {cmd matplotlib hide}
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import sys
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import pymupdf
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from PIL import Image
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doc = pymupdf.open("../pdf/L4.pdf")
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pix = doc[22].get_pixmap(dpi=500)
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pix = doc[22].get_pixmap(dpi=360)
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img = Image.frombytes("RGB", [pix.width, pix.height], pix.samples)
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plt.imshow(img)
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@@ -97,8 +97,73 @@ plt.tight_layout()
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plt.show()
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```
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* SLR(1) Parsing
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* LR(1) Grammar
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```python {cmd matplotlib hide}
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import sys
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import pymupdf
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from PIL import Image
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doc = pymupdf.open("../pdf/L4.pdf")
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pix = doc[47].get_pixmap(dpi=360)
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img = Image.frombytes("RGB", [pix.width, pix.height], pix.samples)
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plt.imshow(img)
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plt.axis('off')
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plt.tight_layout()
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plt.show()
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```
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LR(1) Parsing Table
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is same as LR(0) parsing table construction except for reductions:
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* LR(1) Grammar
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* LALR(1) Grammar
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LALR(1) generally has the same number of states as SLR (much less than LR(1))
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for Pascal language, SLR requires several hundred states, LR(1) requires several thousand states.
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#### Ambiguous Grammar
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Ambiguity is mainly from
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* Precedence
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* The production at higher levels will have operators with lower priorities (and vice versa).
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* we can insert non-terminals to enforce precendence.
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* Associativity
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* we should determine where to place recursion depending on the associativity
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for example: `if-then-else`
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**Automatic Disambiguation**
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We can define precedence to use ambiguous grammars w/o shift-reduce conflicts.
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## AST
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### AST Construction LL
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```c
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expr parse_S() {
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switch(token) {
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case num:
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case '(':
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expr child1 = parse_E();
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expr child2 = parse_Sp();
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return new S(child1, child2);
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default:
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parseError();
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}
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}
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```
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### AST Construction LR
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73
src/res/result.1.txt
Normal file
73
src/res/result.1.txt
Normal file
@@ -0,0 +1,73 @@
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C-MINUS COMPILATION: ./test.1.txt
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4: reserved word: int
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4: ID, name= gcd
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4: (
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4: reserved word: int
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4: ID, name= u
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4: ,
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4: reserved word: int
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4: ID, name= v
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4: )
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5: {
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6: reserved word: if
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6: (
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6: ID, name= v
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6: ==
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6: NUM, val= 0
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6: )
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6: reserved word: return
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6: ID, name= u
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6: ;
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7: reserved word: else
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7: reserved word: return
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7: ID, name= gcd
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7: (
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7: ID, name= v
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7: ,
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7: ID, name= u
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7: -
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7: ID, name= u
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7: /
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7: ID, name= v
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7: *
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7: ID, name= v
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7: )
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7: ;
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9: }
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11: reserved word: void
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11: ID, name= main
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11: (
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11: reserved word: void
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11: )
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12: {
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13: reserved word: int
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13: ID, name= x
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13: ;
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13: reserved word: int
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13: ID, name= y
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13: ;
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14: ID, name= x
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14: =
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14: ID, name= input
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14: (
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14: )
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14: ;
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14: ID, name= y
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14: =
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14: ID, name= input
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14: (
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14: )
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14: ;
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15: ID, name= output
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15: (
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15: ID, name= gcd
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15: (
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15: ID, name= x
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15: ,
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15: ID, name= y
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15: )
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15: )
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15: ;
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16: }
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17: EOF
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77
src/res/result.2.txt
Normal file
77
src/res/result.2.txt
Normal file
@@ -0,0 +1,77 @@
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C-MINUS COMPILATION: ./test.2.txt
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1: reserved word: void
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1: ID, name= main
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1: (
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1: reserved word: void
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1: )
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2: {
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3: reserved word: int
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3: ID, name= i
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3: ;
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3: reserved word: int
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3: ID, name= x
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3: [
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3: NUM, val= 5
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3: ]
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3: ;
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5: ID, name= i
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5: =
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5: NUM, val= 0
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5: ;
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6: reserved word: while
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6: (
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6: ID, name= i
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6: <
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6: NUM, val= 5
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6: )
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7: {
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8: ID, name= x
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8: [
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8: ID, name= i
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8: ]
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8: =
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8: ID, name= input
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8: (
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8: )
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8: ;
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10: ID, name= i
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10: =
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10: ID, name= i
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10: +
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10: NUM, val= 1
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10: ;
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11: }
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13: ID, name= i
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13: =
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13: NUM, val= 0
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13: ;
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14: reserved word: while
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14: (
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14: ID, name= i
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14: <=
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14: NUM, val= 4
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14: )
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15: {
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16: reserved word: if
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16: (
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16: ID, name= x
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16: [
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16: ID, name= i
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16: ]
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16: !=
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16: NUM, val= 0
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16: )
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17: {
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18: ID, name= output
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18: (
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18: ID, name= x
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18: [
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18: ID, name= i
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18: ]
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18: )
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18: ;
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19: }
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20: }
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21: }
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22: EOF
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73
src/res/test.1.result.txt
Normal file
73
src/res/test.1.result.txt
Normal file
@@ -0,0 +1,73 @@
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C-MINUS COMPILATION: ./res/test.1.txt
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4: reserved word: int
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4: ID, name= gcd
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4: (
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4: reserved word: int
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4: ID, name= u
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4: ,
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4: reserved word: int
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4: ID, name= v
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4: )
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5: {
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6: reserved word: if
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6: (
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6: ID, name= v
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6: ==
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6: NUM, val= 0
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6: )
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6: reserved word: return
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6: ID, name= u
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6: ;
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7: reserved word: else
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7: reserved word: return
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7: ID, name= gcd
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7: (
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7: ID, name= v
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7: ,
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7: ID, name= u
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7: -
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7: ID, name= u
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7: /
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7: ID, name= v
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7: *
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7: ID, name= v
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7: )
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7: ;
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9: }
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11: reserved word: void
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11: ID, name= main
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11: (
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11: reserved word: void
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11: )
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12: {
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13: reserved word: int
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13: ID, name= x
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13: ;
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13: reserved word: int
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13: ID, name= y
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13: ;
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14: ID, name= x
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14: =
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14: ID, name= input
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14: (
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14: )
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14: ;
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14: ID, name= y
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14: =
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14: ID, name= input
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14: (
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14: )
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14: ;
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15: ID, name= output
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15: (
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15: ID, name= gcd
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15: (
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15: ID, name= x
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15: ,
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15: ID, name= y
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15: )
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15: )
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15: ;
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16: }
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17: EOF
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16
src/res/test.1.txt
Normal file
16
src/res/test.1.txt
Normal file
@@ -0,0 +1,16 @@
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/* A program to perform Euclid's
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Algorithm to computer gcd */
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int gcd (int u, int v)
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{
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if (v == 0) return u;
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else return gcd(v,u-u/v*v);
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/* u-u/v*v == u mod v */
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}
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void main(void)
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{
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int x; int y;
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x = input(); y = input();
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output(gcd(x,y));
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}
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77
src/res/test.2.result.txt
Normal file
77
src/res/test.2.result.txt
Normal file
@@ -0,0 +1,77 @@
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C-MINUS COMPILATION: ./res/test.2.txt
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1: reserved word: void
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1: ID, name= main
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1: (
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1: reserved word: void
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1: )
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2: {
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3: reserved word: int
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3: ID, name= i
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3: ;
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3: reserved word: int
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3: ID, name= x
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3: [
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3: NUM, val= 5
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3: ]
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3: ;
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5: ID, name= i
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5: =
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5: NUM, val= 0
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5: ;
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6: reserved word: while
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6: (
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6: ID, name= i
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6: <
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6: NUM, val= 5
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6: )
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7: {
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8: ID, name= x
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8: [
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8: ID, name= i
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8: ]
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8: =
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8: ID, name= input
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8: (
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8: )
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8: ;
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10: ID, name= i
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10: =
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10: ID, name= i
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10: +
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10: NUM, val= 1
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10: ;
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11: }
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13: ID, name= i
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13: =
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13: NUM, val= 0
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13: ;
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14: reserved word: while
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14: (
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14: ID, name= i
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14: <=
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14: NUM, val= 4
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14: )
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15: {
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16: reserved word: if
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16: (
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16: ID, name= x
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16: [
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16: ID, name= i
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16: ]
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16: !=
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16: NUM, val= 0
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16: )
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17: {
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18: ID, name= output
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18: (
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18: ID, name= x
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18: [
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18: ID, name= i
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18: ]
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18: )
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18: ;
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19: }
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20: }
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21: }
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22: EOF
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21
src/res/test.2.txt
Normal file
21
src/res/test.2.txt
Normal file
@@ -0,0 +1,21 @@
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void main(void)
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{
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int i; int x[5];
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i = 0;
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while( i < 5 )
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{
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x[i] = input();
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i = i + 1;
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}
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i = 0;
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while( i <= 4 )
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{
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if( x[i] != 0 )
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{
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output(x[i]);
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}
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}
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}
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@@ -110,6 +110,8 @@ TokenType getToken(void) { /* index for storing into tokenString */
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save = FALSE;
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else if (c == '=')
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state = INASSIGN;
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else if(c == '!')
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state = INNE;
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else if (c == '<') {
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state = INLT;
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} else if (c == '>') {
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Reference in New Issue
Block a user