From 87931e8cc2ab78da623f14a81c2783f4c8a15aa9 Mon Sep 17 00:00:00 2001 From: yenru0 Date: Thu, 25 Sep 2025 10:58:48 +0900 Subject: [PATCH] complement in 9.25 --- .gitattributes | 3 -- notes/3.md | 18 ++++++++- notes/4.md | 104 +++++++++++++++++++++++++++++++++++++++++++++++++ pdf/L4.pdf | Bin 0 -> 1007028 bytes 4 files changed, 120 insertions(+), 5 deletions(-) delete mode 100644 .gitattributes create mode 100644 notes/4.md create mode 100644 pdf/L4.pdf diff --git a/.gitattributes b/.gitattributes deleted file mode 100644 index 66271d0..0000000 --- a/.gitattributes +++ /dev/null @@ -1,3 +0,0 @@ -[attr]lfs-file filter=lfs diff=lfs merge=lfs -text - -*.pdf lfs-file \ No newline at end of file diff --git a/notes/3.md b/notes/3.md index b9a43a0..bb27d84 100644 --- a/notes/3.md +++ b/notes/3.md @@ -34,8 +34,22 @@ One of the purposes of the compiler is error handling. ## Parsing -### Top-down Parsing +* Top-down Parsing **Recursive Descent Parsing** -### Predictive Parsing \ No newline at end of file +by using backtracking + +* Predictive Parsing + + +Parsing Table: no need to backtrack. + + + +### Parser Implement + + + + + diff --git a/notes/4.md b/notes/4.md new file mode 100644 index 0000000..016b237 --- /dev/null +++ b/notes/4.md @@ -0,0 +1,104 @@ +# Syntax Anlysis 2 + +## Bottom-Up Parsing + +Bottom-up Parsing is more efficient than Top-down parsing. +it uses LR grammars: Left-recursive and right-most derivation. + +Rely on **Shift-reduce Parsers**. + +example: + +```c +E -> T | T + E +T -> int | int * T | (E) +``` + +```c +// reduce +int * int + int | T -> int +int * T + int | T -> int * T +T + int | T -> int +T + T | E -> T +T + E | E -> T + E +E | +// view as reversed, it seems right-most derivation +``` + +### Shift-Reudce Parsing + +```c +E -> T | T + E +T -> int | int * T | (E) +``` + +| Stack | Input | Applied Production | +| ----------- | ----------------- | --------------------- | +| | `int * int + int` | shift | +| `int` | `* int + int` | shift | +| `int *` | `int + int` | shift | +| `int * int` | `+ int` | reduce `T -> int` | +| `int * T` | `+ int` | reduce `T -> int * T` | +| `T` | `+ int` | shift | +| `T +` | `int` | shift | +| `T + int` | | reduce `T -> int` | +| `T + T` | | reduce `E -> T` | +| `T + E` | | reduce `E -> T + E` | +| `E` | | | + + +**Action Selection Problem** +Which action should we take? +when shift, when reduce, which production applied? + +#### LR-Style Grammars + +* LR(k): left-toright scanning, right most derivation and k symbol lookahead + +* LR(0) Grammar + +LR(0) indicates grammars that can determine actions without any lookahead: there are no reduce-reduce and shift-reduce conflicts when using **only the symbols in the stack**. + +represent shift-reduce parsing using an **NFA**, whose states are production with separator '`.`' on RHS. +for eample, a production `T -> (E)` has four states: `T -> .(E)`, `T -> (.E)`, `T -> (E.)`, `T -> (E.)`. +before `.` means already in stack, next item means expecting item. +plus an additional dummy production `S' -> S$` for a start and end state. + +there are two types of transitions between the stats +- shift transition +- $\epsilon$ transition: + +example: + +``` +S -> (L) | id +L -> LS | L,S +``` + +``` +S' -> S$ +S -> (L) | id +L -> S | L,S +``` + +It can be represented as a NFA: + +```python {cmd matplotlib} +import sys +import pymupdf +from PIL import Image +doc = pymupdf.open("../pdf/L4.pdf") +pix = doc[22].get_pixmap(dpi=500) +img = Image.frombytes("RGB", [pix.width, pix.height], pix.samples) + +plt.imshow(img) +plt.axis('off') +plt.tight_layout() +plt.show() +``` + + + + + +* LR(1) Grammar \ No newline at end of file diff --git a/pdf/L4.pdf b/pdf/L4.pdf new file mode 100644 index 0000000000000000000000000000000000000000..d628d6a3698a1dd38d5619c23e1fac6d6b93f237 GIT binary patch literal 1007028 zcmdqJby%Fs(l442+$FeVfM7uecY?dSJA=CuTmysv!7UKnEm&}e;O-hEgamiz43M=~ zve(-CJNMc9p8K3T|IAExb-&fsUDdyStEr-F3jzx2JL+57m;mMUO+XF+MsT$PP)gt0gc4*;1pq2K+B+FKD%pcT3N|*507hnx zdjeS}M@utnFg*hs`+b45zP*LGwXqGj*Snt}BLKJ|=;ccwn9|nCQQX=QWbNpn`Nu0GXIMINH0(=v#p( zO&uL=Ie|bI7Z*B18%rB|IvaZvFwGq!l!EpkeMcL6PJoyk;O-->Z|!8PZ|LY`53=VJ z7Z$uPvoQi$a{laD2;|`Sz?Yo8jj@>}2*AR`elL%gFSP+cX^^A75m;7trA+r@Rxty) zfb8Y$LB=3^khLLL8sIACyQ-Hjk>EkrM)z{Q>)|(n-wPTjXyat<2wS4z}G5n-s_({k3laBEx-A|D* zF#e=t{7J|3laA>p9n;VLe#(}C=_eiYPr9E{X80*)hM#g~_$g?HpOR+yDQbqFvS#=x zY=)oGX80*?hM)3g_$hD(wmWUSo9LhO&UQcX+JIlz&t27D)(==)!AlOTk9Y0CI^kgB zWDj0|VD%Dqbre-})OQ4de~T)z0PcGP|6&K+j}5GmA~x2J;7Sn&z`b;UB8&irdp^K* zYO)6AAj7+AaVxMr-~imOHgE-4B@7ioj+#KQngW$Tu8t1`0uNt;4`1SUoP!m`$V^|r z##Ix{8$EynJa!gldawe4mHOTY0Pckj6t%Z;vIRfr-U!|Q0UH7(dwpvM+qGeZzq^TGW-n4*V)I{@f^mC;>~f5=G0%+e8L4-~Nk%RmTZ2-a|*6v*1d(GLA!BR&lXqlsD4~mPN55s1Uyn^uVh`3JJuuamUueP z`poKZm&*bo|BzT|xolN?`_-a}u`}z-G$6(5fqux%Hk4P8ug|goY<`T`J2Hq#*#1KL zPrUpX(EG~P^1wE}3@;8EbgIhj6r!|%)(!d=GPk!}c>AdaKLqe-X*wSFc=3M}gfsg@ zPuZoD96+r9DHcAQ`t{1l*f{M6i^otUZOhd7B0;egdAaHqs8pRXa#-&ww~|;@nep%x zo39%_Xb*@m=NEj#50%xoRkwV?i8}EkvEpo@%l!QzOx48ENY@I2odUgLBuu8OfaTLL zmooK%HUMv&^yom=YGP2<77o;VdlOb?>YK_Fb@wEvTQ@-C+1K)-LPY;vS2(6Y?-(Q* z+10r>$&ZD&UnJudnZI&zb94^6S#JI=ihqkGn-heOR7~j7Q|*=f5jUKB)N+BQk2lz{ zZ7|usT1N`&+vMu@MSdkW5Bbt1J!awA2w)<;enPs=Lv<8$T&CN!H5yWanr`7`gj|e+ z`P)>GpgEo(&*6*o3q66l#7RD5xOFS+y;s5>1CA4@88McQpSbEhE*3nrw&=f)AB5px zwC1~?03>gNi!?PwZ+iBNTyE48uL?d7Vn?rEJUY|OjiXSwH^qNU`X5&LPA&deG50I* zA9@26kOs=w*jwpa0uA*648Jb3JAL`B(VZ#*6`c$m?>15;@P>Ea)!o(vRxhA{z60o< zLO@VRSXh{v-`-5$l2*XR(nwkfC~OU0nr7A}KvgqqerpG_fBe5|0p5xX?age#+ZW(| z4*-go**iE2n(EsFm>9vk^UvQ5jEvysMvkU;JI{kn`IX(frhj4g&#vzc!9A~k#~)aK zOdRf>CJu%NW`_LMCg2T`9?0)tcxQJw=vlzJ`S6>Tk%1nJB5cJ#W+tZKEsc>K$nR`& z&liB1jRTAaTp#{0vVyDbhNt?IlAa!@_Olfu3q4p(_3tDCU}6I6I><@|-1?qe;NFoj!^s5vIfA>Nf_ET9(N^CO^rz(l3Ya-M$bswyZLDlnBxyEfkS1S%4-i_sT1YbIv0*XnH{QaD^Bn0h%jr@ZG2c zuagST@oX8HOX2!^9}DlWYiXr?LMr8TV2KEW%WZa{gpr`>?K8&Q=R6v~Bb;vdX|{w^ zg^suO_?o%D;*Wr#m z031CU5A|h<@ii3)VH}(qljm(eUfXVl@^PFDWeX&BqD?q7X`hxhzWLtDXkg^er}TOf z7}Kf|PNwN1L_SQHR`0g5JCDDo9*%bPcp?c(n#%hksR#-N0Y*tZOYN#17rS6ITMs;TI^$9nSNU}PuO?}8Z5Jr)u_n^TSFe$B{e;1g+r}9fju^YOM6LOL}Kd_%RrF*5@1oM zfr&DJzVkxJ6DFDfG@FOspHMPwxnx~A7jU8Fse+RPtrpceg4Z)yI^!P5>G$Y`?xlki zQ4EK}1~Y%9Hlmqf>&NGW`W#niRgXVs3yC`eV7ZC|l_j%28g)}i9*79OUa!%Q=EO>R z{|1SjC>ljS3<6`uw}Aed#P%R}s@`Ar@q`is7s8sADSV`AY}TMsK=Dw!Vzxs`Rc3TL z-aPY#d?F)f7x#+~6ZmeCz=O*rCx$eLob~Vf%fj_T(|zupx`!H7Mo`0(XDB&Qoop^=+}6vKmnKAciy=+LJTjy?mXh02xH|Hbl9*_ z0Mxx3MSt1mC;!6mYxVp7U>d5x?wzVdPMeb=feeIn=<``vg#rQX5$FPqTZ9*UVKyg- z*?JLUwTC`!-~GixS|%|lB-z{PzB*B5Bi4!g?jMwD*^tTh94GIb7ztCE?kUx`)(l43 zQx#EUd-|6|S22@ID~J0Mjbp_ez?1kVIiFjxf0C;^p*JpTS)9U>$i`J+cW$WHBBv@F z-O1i4g-%Y(YM!s0L(MOWN#X<{su758JRkM@GAgZh9>~ELVd$LtHQxlq8#x??f;y48y3F_USnxMnS({_nG6hm%7IsQi(`D+#VB z!W^^4*BP^O##3C2g771#B&LWSn+&uND)&P=r)w)D`9%xGutsM0-o)h4>wK78T4na1795F@ydGL<37zb%BilA&&<<1bf{HW z%g(clAPPZjn_)? 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