| author | Chengsong |
| Wed, 05 Feb 2020 14:50:57 +0000 | |
| changeset 122 | dc0cdfc5fc66 |
| parent 110 | a85c0f0fcf44 |
| child 123 | fb7472a29058 |
| permissions | -rwxr-xr-x |
| 0 | 1 |
import Element.elem |
2 |
import RexpRelated._ |
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3 |
import RexpRelated.Rexp._ |
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4 |
import Partial._ |
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import BRexp._ |
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6 |
import scala.collection.mutable.ListBuffer |
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object Spiral{
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||
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val space = elem(" ")
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val corner = elem("+")
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||
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def spiral(nEdges: Int, direction: Int): Element = {
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if(nEdges == 1) |
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elem("+")
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else {
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val sp = spiral(nEdges - 1, (direction + 3) % 4) |
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def verticalBar = elem('|', 1, sp.height)
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def horizontalBar = elem('-', sp.width, 1)
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if(direction == 0) |
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(corner beside horizontalBar) above sp//(sp beside space) |
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else if (direction == 1) |
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sp beside (corner above verticalBar) |
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else if (direction == 2) |
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(space beside sp) above (horizontalBar beside corner) |
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else |
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(verticalBar above corner) beside (space above sp) |
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} |
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} |
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val alphabet = ("""abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ0123456789.:"=()\;-+*!<>\/%{} """+"\n\t").toSet//Set('a','b','c')
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def bregx_tree(r: BRexp): Element = regx_tree(berase(r)) |
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def regx_tree(r: Rexp): Element = aregx_tree(internalise(r)) |
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| 5 | 32 |
def annotated_tree(r: ARexp): Element = {
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r match {
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case ACHAR(bs, d) => {
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//val Some(d) = alphabet.find(f) |
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d match {
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case '\n' => elem("\\n")
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case '\t' => elem("\\t")
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case ' ' => elem("space")
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| 7 | 40 |
case d => if(bs.isEmpty) elem(d.toString) else elem(d.toString++" ") beside elem(bs.toString) |
| 5 | 41 |
} |
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} |
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case AONE(bs) => {
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| 7 | 44 |
if(bs.isEmpty) elem("ONE") else elem("ONE ") beside elem(bs.toString)
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| 5 | 45 |
} |
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case AZERO => {
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| 7 | 47 |
elem("ZERO")
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| 5 | 48 |
} |
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case ASEQ(bs, r1, r2) => {
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| 7 | 50 |
annotated_binary_print("SEQ", r1, r2, bs)
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} |
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case AALTS(bs, rs) => {
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//elem("Awaiting completion")
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| 7 | 54 |
annotated_list_print("ALT", rs, bs)
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| 5 | 55 |
} |
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case ASTAR(bs, r) => {
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| 7 | 57 |
annotated_list_print("STA", List(r), bs)
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| 5 | 58 |
} |
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} |
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} |
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| 0 | 61 |
def aregx_tree(r: ARexp): Element = {
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r match {
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case ACHAR(bs, d) => {
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//val Some(d) = alphabet.find(f) |
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d match {
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case '\n' => elem("\\n")
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case '\t' => elem("\\t")
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case ' ' => elem("space")
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case d => elem(d.toString) |
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} |
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} |
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case AONE(bs) => {
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elem("ONE")
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} |
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case AZERO => {
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elem("ZERO")
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} |
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case ASEQ(bs, r1, r2) => {
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binary_print("SEQ", r1, r2)
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} |
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case AALTS(bs, rs) => {
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//elem("Awaiting completion")
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list_print("ALT", rs)
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} |
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case ASTAR(bs, r) => {
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list_print("STA", List(r))
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} |
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} |
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} |
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val port = elem(" └-")
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def list_print(name: String, rs: List[ARexp]): Element = {
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rs match {
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case r::Nil => {
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val pref = aregx_tree(r) |
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val head = elem(name) |
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(head left_align (port up_align pref) ) |
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} |
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case r2::r1::Nil => {
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binary_print(name, r2, r1) |
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} |
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case r::rs1 => {
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val pref = aregx_tree(r) |
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val head = elem(name) |
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if (pref.height > 1){
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val link = elem('|', 1, pref.height - 1)
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(head left_align ((port above link) beside pref)) left_align tail_print(rs1) |
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} |
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else{
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(head left_align (port beside pref) ) left_align tail_print(rs1) |
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} |
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} |
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} |
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} |
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| 7 | 114 |
def annotated_list_print(name: String, rs: List[ARexp], bs: List[Bit]): Element = {
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rs match {
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case r::Nil => {
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val pref = annotated_tree(r) |
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val head = if(bs.isEmpty) elem(name) else elem(name ++ " ") beside elem(bs.toString) |
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(head left_align (port up_align pref) ) |
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} |
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case r2::r1::Nil => {
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annotated_binary_print(name, r2, r1, bs) |
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} |
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case r::rs1 => {
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val pref = annotated_tree(r) |
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val head = if (bs.isEmpty) elem(name) else elem(name ++ " ") beside elem(bs.toString) |
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if (pref.height > 1){
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val link = elem('|', 1, pref.height - 1)
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(head left_align ((port above link) beside pref)) left_align annotated_tail_print(rs1) |
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} |
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else{
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(head left_align (port beside pref) ) left_align annotated_tail_print(rs1) |
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} |
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} |
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} |
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} |
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||
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def annotated_tail_print(rs: List[ARexp]): Element = {
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rs match {
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case r2::r1::Nil => {
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val pref = annotated_tree(r2) |
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val suff = annotated_tree(r1) |
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if (pref.height > 1){
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val link = elem('|', 1, pref.height - 1)
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((port above link) beside pref) left_align (port up_align suff) |
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} |
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else{
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(port beside pref) left_align (port up_align suff) |
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} |
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} |
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case r2::rs1 => {
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val pref = annotated_tree(r2) |
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||
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if (pref.height > 1){
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val link = elem('|', 1, pref.height - 1)
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((port above link) beside pref) left_align annotated_tail_print(rs1)//(port up_align tail_print(rs1) ) |
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} |
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else{
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(port beside pref) left_align annotated_tail_print(rs1)//(port up_align tail_print(rs1)) |
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} |
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//pref left_align tail_print(rs1) |
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} |
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} |
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} |
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||
| 0 | 166 |
def tail_print(rs: List[ARexp]): Element = {
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rs match {
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case r2::r1::Nil => {
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val pref = aregx_tree(r2) |
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val suff = aregx_tree(r1) |
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if (pref.height > 1){
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val link = elem('|', 1, pref.height - 1)
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((port above link) beside pref) left_align (port up_align suff) |
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} |
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else{
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(port beside pref) left_align (port up_align suff) |
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} |
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} |
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case r2::rs1 => {
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val pref = aregx_tree(r2) |
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||
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if (pref.height > 1){
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val link = elem('|', 1, pref.height - 1)
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((port above link) beside pref) left_align tail_print(rs1)//(port up_align tail_print(rs1) ) |
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} |
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else{
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(port beside pref) left_align tail_print(rs1)//(port up_align tail_print(rs1)) |
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} |
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//pref left_align tail_print(rs1) |
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} |
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} |
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} |
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def binary_print(name: String, r1: ARexp, r2: ARexp): Element = {
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val pref = aregx_tree(r1) |
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val suff = aregx_tree(r2) |
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| 7 | 197 |
val head = elem(name) |
| 0 | 198 |
if (pref.height > 1){
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val link = elem('|', 1, pref.height - 1)
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(head left_align ((port above link) beside pref) ) left_align (port up_align suff) |
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} |
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else{
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(head left_align (port beside pref) ) left_align (port up_align suff) |
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} |
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} |
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| 7 | 206 |
def annotated_binary_print(name: String, r1: ARexp, r2: ARexp, bs: List[Bit]): Element = {
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val pref = annotated_tree(r1) |
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val suff = annotated_tree(r2) |
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val head = if (bs.isEmpty) elem(name) else elem(name ++ " ") beside elem(bs.toString) |
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if (pref.height > 1){
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val link = elem('|', 1, pref.height - 1)
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(head left_align ((port above link) beside pref) ) left_align (port up_align suff) |
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} |
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else{
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(head left_align (port beside pref) ) left_align (port up_align suff) |
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} |
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} |
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||
| 0 | 219 |
val arr_of_size = ListBuffer.empty[Int] |
| 2 | 220 |
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| 0 | 221 |
def pC(r: Rexp): Set[Rexp] = {//PD's companion
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r match {
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case SEQ(r1, r2) => pC(r2) |
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case ALTS(rs) => rs.flatMap(a => pC(a) ).toSet |
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case CHAR(c) => Set(r) |
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case r => Set() |
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} |
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} |
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def illustration(r: Rexp, s: String){
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var i_like_imperative_style = internalise(r) |
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val all_chars = s.toList |
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for (i <- 0 to s.length - 1){
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val der_res = bder(all_chars(i), i_like_imperative_style) |
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val simp_res = bsimp(der_res) |
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println("The original regex, the regex after derivative w.r.t " + all_chars(i) + " and the simplification of the derivative.")
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println(aregx_tree(i_like_imperative_style) up_align aregx_tree(der_res) up_align aregx_tree(simp_res)) |
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//println(asize(i_like_imperative_style), asize(der_res), asize(simp_res)) |
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arr_of_size += asize(i_like_imperative_style) |
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//println(asize(simp_res), asize(simp_res) / arr_of_size(0) ) |
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i_like_imperative_style = simp_res |
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} |
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arr_of_size += asize(i_like_imperative_style) |
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} |
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val ran = scala.util.Random |
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var alphabet_size = 3 |
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def balanced_seq_star_gen(depth: Int, star: Boolean): Rexp = {
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if(depth == 1){
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((ran.nextInt(4) + 97).toChar).toString |
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} |
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else if(star){
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STAR(balanced_seq_star_gen(depth - 1, false)) |
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} |
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else{
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SEQ(balanced_seq_star_gen(depth - 1, true), balanced_seq_star_gen(depth - 1, true)) |
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} |
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} |
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def max(i: Int, j: Int): Int = {
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if(i > j) |
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i |
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else |
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j |
|
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} |
|
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def random_struct_gen(depth:Int): Rexp = {
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|
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val dice = ran.nextInt(3) |
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val dice2 = ran.nextInt(3) |
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(dice, depth) match {
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case (_, 0) => ((ran.nextInt(3) + 97).toChar).toString |
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case (0, i) => STAR(random_struct_gen(max(0, i - 1 - dice2))) |
|
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case (1, i) => SEQ(random_struct_gen(max(0, i - 1 - dice2)), random_struct_gen(max(0, i - 1 - dice2))) |
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case (2, i) => ALTS( List(random_struct_gen(max(0, i - 1 - dice2)), random_struct_gen(max(0, i - 1 - dice2))) ) |
|
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} |
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} |
|
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def balanced_struct_gen(depth: Int): Rexp = {
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val dice = ran.nextInt(3) |
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(dice, depth) match {
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case (_, 0) => ((ran.nextInt(3) + 97).toChar).toString |
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case (0, i) => STAR(random_struct_gen(depth - 1)) |
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case (1, i) => SEQ(random_struct_gen(depth - 1), random_struct_gen(depth - 1)) |
|
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case (2, i) => ALTS( List(random_struct_gen(depth - 1), random_struct_gen(depth - 1) ) ) |
|
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} |
|
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} |
|
| 6 | 282 |
def random_pool(n: Int, d: Int) : Stream[Rexp] = n match {
|
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case 0 => (for (i <- 1 to 10) yield balanced_struct_gen(d)).toStream |
|
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case n => {
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val rs = random_pool(n - 1, d) |
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rs #::: |
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(for (i <- (1 to 10).toStream) yield balanced_struct_gen(d)) #::: |
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(for (i <- (1 to 10).toStream) yield random_struct_gen(d)) |
|
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} |
|
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} |
|
291 |
||
| 0 | 292 |
def rd_string_gen(alp_size: Int, len: Int): String = {
|
293 |
if( len > 0) |
|
294 |
((ran.nextInt(alp_size) + 97).toChar).toString + rd_string_gen(alp_size, len - 1) |
|
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else |
|
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((ran.nextInt(alp_size) + 97).toChar).toString |
|
297 |
} |
|
298 |
def plot(b: List[Int]){
|
|
299 |
println(b(0),b.max) |
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300 |
||
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} |
|
302 |
def dep_exp(depth: List[Int]){
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|
303 |
for(i <- depth){
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|
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arr_of_size.clear() |
|
305 |
val s = rd_string_gen(alphabet_size, (i-8)*(i-8)+10) |
|
306 |
val r = random_struct_gen(i) |
|
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println("depth: "+i)
|
|
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illustration(r, s) //"abcabadaaadcabdbabcdaadbabbcbbdabdabbcbdbabdbcdb") |
|
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//println("depth: " + i + " general stats:"+ arr_of_size(0), arr_of_size.max, arr_of_size.max/arr_of_size(0))
|
|
310 |
//println("x y label alignment")
|
|
311 |
/*for(i <- 0 to s.length - 1){
|
|
312 |
if(s(i) == '\n') |
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313 |
println(i+" "+arr_of_size(i)+" "+"nl"+" -140") |
|
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else if(s(i) == ' ') |
|
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println(i+" "+arr_of_size(i)+" "+"sp"+" -140") |
|
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else |
|
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println(i+" "+arr_of_size(i)+" "+s(i)+" -140") |
|
318 |
}*/ |
|
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//println(s.length + " " + arr_of_size(s.length) + " ]" + " -140") |
|
320 |
} |
|
321 |
} |
|
322 |
def case_study(ss: List[String], r: Rexp){
|
|
323 |
for(s <- ss){
|
|
324 |
arr_of_size.clear() |
|
325 |
illustration(r, s) |
|
326 |
println("x y label alignment")
|
|
327 |
for(i <- 0 to s.length - 1){
|
|
328 |
if(s(i) == '\n') |
|
329 |
println(i+" "+arr_of_size(i)+" "+"nl"+" -140") |
|
330 |
else if(s(i) == ' ') |
|
331 |
println(i+" "+arr_of_size(i)+" "+"sp"+" -140") |
|
332 |
else |
|
333 |
println(i+" "+arr_of_size(i)+" "+s(i)+" -140") |
|
334 |
} |
|
335 |
} |
|
336 |
} |
|
337 |
def star_gen(dp: Int): Rexp = {
|
|
338 |
if(dp > 0) |
|
339 |
STAR(star_gen(dp - 1)) |
|
340 |
else |
|
341 |
"a" |
|
342 |
} |
|
343 |
def strs_gen(len: Int, num: Int): List[String] = {
|
|
344 |
if(num > 0){
|
|
345 |
rd_string_gen(3, len)::strs_gen(len, num - 1) |
|
346 |
} |
|
347 |
else{
|
|
348 |
Nil |
|
349 |
} |
|
350 |
} |
|
351 |
def regx_print(r: Rexp): String = {
|
|
352 |
r match {
|
|
353 |
case ZERO => |
|
354 |
"ZERO" |
|
355 |
case CHAR(c) => {
|
|
356 |
//val Some(c) = alphabet.find(f) |
|
357 |
"\"" + c.toString + "\"" |
|
358 |
} |
|
359 |
case ONE => {
|
|
360 |
"ONE" |
|
361 |
} |
|
362 |
case ALTS(rs) => {
|
|
363 |
"ALTS(List("+(rs.map(regx_print)).foldLeft("")((a, b) => if(a == "") b else a + "," + b)+"))"
|
|
364 |
} |
|
365 |
case SEQ(r1, r2) => {
|
|
366 |
"SEQ(" + regx_print(r1) + "," + regx_print(r2) + ")"
|
|
367 |
} |
|
368 |
case STAR(r) => {
|
|
369 |
"STAR(" + regx_print(r) + ")"
|
|
370 |
} |
|
371 |
} |
|
372 |
} |
|
373 |
val mkst = "abcdefghijklmnopqrstuvwxyz" |
|
374 |
def weak_sub_check(r: Rexp, s: String, i: Int, f: (List[Rexp], Set[Rexp]) => Boolean){
|
|
375 |
//we first compute pders over the set of all strings on the alphabet |
|
376 |
val pd = pderas(Set(r), i + 4) |
|
377 |
//then "b-internalise" the regular expression into a brexp(this is essentially |
|
378 |
//attaching a bit Z to every alts to signify that they come from the original regular expression) |
|
379 |
var old = brternalise(r) |
|
380 |
//this is for comparison between normal simp and the weakened version of simp |
|
381 |
//normal simp will be performed on syncold |
|
382 |
//weakend simp will be performed on old |
|
| 5 | 383 |
var syncold = internalise(r) |
| 0 | 384 |
val all_chars = s.toList |
385 |
for (i <- 0 to s.length - 1){
|
|
| 5 | 386 |
val syncder_res = bder(all_chars(i), syncold) |
387 |
val syncsimp_res = super_bsimp(syncder_res) |
|
| 0 | 388 |
//see brder for detailed explanation |
389 |
//just changes bit Z to S when deriving an ALTS, |
|
390 |
//signifying that the structure has been "touched" and |
|
391 |
//therefore able to be spilled in the bspill function |
|
392 |
val der_res = brder(all_chars(i), old) |
|
393 |
val simp_res = br_simp(der_res) |
|
394 |
val anatomy = bspill(simp_res) |
|
395 |
//track if the number of regular expressions exceeds those in the PD set(remember PD means the pders over A*) |
|
| 5 | 396 |
if(f(List(berase(simp_res)), pd) == false ){
|
397 |
println(size(erase(syncsimp_res))) |
|
| 0 | 398 |
println(size(berase(simp_res))) |
| 3 | 399 |
println(bregx_tree(simp_res)) |
| 5 | 400 |
println(s) |
401 |
println(i) |
|
402 |
println(r) |
|
| 0 | 403 |
println(anatomy.map(size).sum) |
404 |
println(pd.map(size).sum) |
|
405 |
} |
|
406 |
old = simp_res |
|
407 |
syncold = syncsimp_res |
|
408 |
} |
|
409 |
} |
|
410 |
def inclusion_truth(anatomy: List[Rexp], pd: Set[Rexp]): Boolean = {
|
|
411 |
val aset = anatomy.toSet |
|
412 |
if(aset subsetOf pd){
|
|
413 |
true |
|
414 |
} |
|
415 |
else{
|
|
416 |
println("inclusion not true")
|
|
417 |
false |
|
418 |
} |
|
419 |
} |
|
420 |
def size_comp(anatomy: List[Rexp], pd: Set[Rexp]):Boolean = {println("size of PD and bspilled simp regx: ", pd.size, anatomy.size); true}
|
|
| 5 | 421 |
def size_expansion_rate(r: List[Rexp], pd: Set[Rexp]): Boolean = if(size(r(0)) > (pd.map(size).sum) * 3 ) { false }else {true}
|
| 4 | 422 |
def ders_simp(r: ARexp, s: List[Char]): ARexp = {
|
423 |
s match {
|
|
424 |
case Nil => r |
|
425 |
case c::cs => ders_simp(bsimp(bder(c, r)), cs) |
|
426 |
} |
|
427 |
} |
|
| 5 | 428 |
val big_panda = STAR(STAR(STAR(ALTS(List(ALTS(List(CHAR('c'), CHAR('b'))), SEQ(CHAR('c'),CHAR('c')))))))
|
429 |
val str_panda = "ccccb" |
|
| 0 | 430 |
def check_all(){
|
| 5 | 431 |
|
432 |
weak_sub_check(big_panda, str_panda, 6, size_expansion_rate) |
|
433 |
||
| 0 | 434 |
} |
| 93 | 435 |
def bstostick(bs: List[Bit]): Element = bs match {
|
436 |
//case b::Nil => elem(b.toString) |
|
437 |
case b::bs1 => elem(b.toString) beside bstostick(bs1) |
|
438 |
case Nil => elem(' ', 1, 1)
|
|
439 |
} |
|
440 |
def bits_print(r: ARexp): Element = r match {
|
|
441 |
case AALTS(bs,rs) => {
|
|
442 |
val bitstick = bstostick(bs) |
|
443 |
rs match {
|
|
444 |
case r::rs1 => |
|
445 |
rs1.foldLeft( |
|
446 |
((elem("(") left_align bitstick) beside
|
|
447 |
bits_print(r)) )( (acc, r2) => acc beside ((elem(" + ") above elem(" ")) beside bits_print(r2) )) beside
|
|
448 |
elem(")")
|
|
449 |
case Nil => elem(' ', 1, 1)
|
|
450 |
} |
|
451 |
} |
|
452 |
case ASEQ(bs, r1, r2) => {
|
|
| 103 | 453 |
((elem("[") left_align bstostick(bs)) beside bits_print(r1) beside elem("~") beside bits_print(r2) beside (elem("]") above elem(" ")))
|
| 93 | 454 |
} |
455 |
case ASTAR(bs, r) => {
|
|
456 |
r match {
|
|
457 |
case AONE(_) | AZERO | ACHAR(_, _) => {
|
|
458 |
(elem("{") left_align bstostick(bs)) beside (bits_print(r) beside elem("}*"))
|
|
459 |
} |
|
460 |
case _ => {
|
|
461 |
(elem("{") left_align bstostick(bs)) beside (bits_print(r) beside elem("}*"))
|
|
462 |
} |
|
463 |
} |
|
464 |
} |
|
465 |
case AONE(bs) => {
|
|
466 |
elem("1") left_align bstostick(bs)
|
|
467 |
} |
|
468 |
case ACHAR(bs, c) => {
|
|
469 |
elem(c, 1, 1) left_align bstostick(bs) |
|
470 |
} |
|
471 |
case AZERO => |
|
472 |
{
|
|
473 |
elem ("0") above elem(" ")
|
|
474 |
} |
|
475 |
} |
|
476 |
def happy_print(r: Rexp): Unit = r match {
|
|
477 |
case ALTS( r::rs ) => {
|
|
478 |
print("(")
|
|
479 |
happy_print(r) |
|
480 |
rs.map(r2=>{
|
|
481 |
print(" + ")
|
|
482 |
happy_print(r2) |
|
483 |
}) |
|
484 |
print(")")
|
|
485 |
} |
|
486 |
case SEQ(r1, r2) => {
|
|
487 |
happy_print(r1) |
|
488 |
print("~")
|
|
489 |
happy_print(r2) |
|
490 |
} |
|
491 |
case STAR(r) => {
|
|
492 |
r match {
|
|
493 |
case ONE | ZERO | CHAR(_) => {
|
|
494 |
happy_print(r) |
|
495 |
print("*")
|
|
496 |
} |
|
497 |
case _ => {
|
|
498 |
print("[")
|
|
499 |
happy_print(r) |
|
500 |
print("]*")
|
|
501 |
} |
|
502 |
} |
|
503 |
} |
|
504 |
case ONE => {
|
|
505 |
print("1")
|
|
506 |
} |
|
507 |
case ZERO => {
|
|
508 |
print("0")
|
|
509 |
} |
|
510 |
case CHAR(c) =>{
|
|
511 |
print(c) |
|
512 |
} |
|
513 |
} |
|
514 |
def bits_slide(s: String, r: Rexp){
|
|
515 |
val nangao = ders_simp(internalise(r), s.toList) |
|
516 |
val easy = bsimp(bders(s.toList, internalise(r))) |
|
517 |
println(s) |
|
518 |
println(r) |
|
519 |
happy_print(r) |
|
520 |
println() |
|
521 |
print(bits_print(nangao)) |
|
522 |
println() |
|
523 |
print(bits_print(easy)) |
|
524 |
println() |
|
525 |
} |
|
526 |
//found r = SEQ(ALTS(List(CHAR(c), CHAR(a))),SEQ(ALTS(List(CHAR(a), CHAR(c))),ALTS(List(CHAR(b), CHAR(c))))) s = "aa" |
|
527 |
def bsimp_print(r: ARexp): Unit = r match {
|
|
528 |
case ASEQ(bs, r1, r2) => |
|
529 |
{
|
|
530 |
println("0.r or r.0 to 0 or bs1 1.r to fuse bs++bs1 r")
|
|
531 |
bits_print(bsimp(r1)) |
|
532 |
bits_print(bsimp(r2)) |
|
533 |
} |
|
534 |
case AALTS(bs, rs) => {
|
|
535 |
println("rs.map(bsimp) equals *************")
|
|
536 |
val rs_simp = rs.map(bsimp) |
|
537 |
for(r <- rs_simp){
|
|
538 |
println(bits_print(r)) |
|
539 |
} |
|
540 |
println("*************")
|
|
541 |
println("flts(rs_simp)")
|
|
542 |
val flat_res = flats(rs_simp) |
|
543 |
for(r <- flat_res){
|
|
544 |
println(bits_print(r)) |
|
545 |
} |
|
546 |
println("dB(flat_res)")
|
|
547 |
val dist_res = distinctBy(flat_res, erase) |
|
548 |
for(r <- dist_res){
|
|
549 |
println(bits_print(r)) |
|
550 |
} |
|
551 |
dist_res match {
|
|
552 |
case Nil => println("AZERO")
|
|
553 |
case r::Nil => println("fuse(bs, r)")
|
|
554 |
case rs => println("AALTS(bs, rs)")
|
|
555 |
} |
|
556 |
} |
|
557 |
case _ => println("No simp at this level")
|
|
558 |
} |
|
559 |
def tellmewhy(){
|
|
560 |
//val r = SEQ(ALTS(List(CHAR('a'), CHAR('b'))),ALTS(List(ALTS(List(CHAR('a'), CHAR('a'))), STAR(CHAR('a')))))
|
|
| 107 | 561 |
//val r = SEQ(ALTS(List(CHAR('a'), CHAR('b'))),ALTS(List(CHAR('a'), STAR(CHAR('a')) ) ))
|
562 |
val r = ("ab" | ( (("a")%) | "aa") )
|
|
| 93 | 563 |
//val r = ("a"|"b")~("a")
|
564 |
val s = "aa" |
|
| 122 | 565 |
for(i <- 1 to s.length-1){
|
| 93 | 566 |
val ss = s.slice(0, i+1) |
| 107 | 567 |
val nangao = bders_simp_rf(ss.toList, internalise(r)) |
| 93 | 568 |
val easy = (bders(ss.toList, internalise(r))) |
569 |
println(bits_print(nangao)) |
|
| 107 | 570 |
println() |
| 93 | 571 |
println(bits_print(easy)) |
572 |
println() |
|
| 107 | 573 |
println(bits_print(bsimp_rf(easy))) |
574 |
println() |
|
| 93 | 575 |
} |
576 |
println(bits_print(bsimp(bders(s.toList, internalise(r))))) |
|
| 101 | 577 |
println(bits_print(ders_simp(internalise(r), s.toList))) |
| 93 | 578 |
} |
579 |
def find_re(){
|
|
580 |
for (i <- 1 to 10000){
|
|
581 |
val r = balanced_struct_gen(3) |
|
582 |
val s = rd_string_gen(2,1) |
|
583 |
val nangao = ders_simp(internalise(r), s.toList) |
|
584 |
val easy = bsimp(bders(s.toList, internalise(r))) |
|
585 |
if(nangao != easy){
|
|
586 |
bits_slide(s, r) |
|
587 |
} |
|
588 |
} |
|
589 |
} |
|
| 5 | 590 |
//simplified regex size 291, so called pd_simp size 70 (did not do simplification to terms in the PD set) |
| 10 | 591 |
def pushbits(r: ARexp): ARexp = r match {
|
|
11
9c1ca6d6e190
The C(Char) construct is incompatible with the code and retrieve in Fahad's thesis.
Chengsong
parents:
10
diff
changeset
|
592 |
case AALTS(bs, rs) => AALTS(Nil, rs.map(r=>fuse(bs, pushbits(r)))) |
|
9c1ca6d6e190
The C(Char) construct is incompatible with the code and retrieve in Fahad's thesis.
Chengsong
parents:
10
diff
changeset
|
593 |
case ASEQ(bs, r1, r2) => ASEQ(bs, pushbits(r1), pushbits(r2)) |
| 10 | 594 |
case r => r |
595 |
} |
|
| 4 | 596 |
def correctness_proof_convenient_path(){
|
| 107 | 597 |
for(i <- 1 to 19999){
|
598 |
val s = rd_string_gen(alphabet_size, 3)//"abaa"//rd_string_gen(alphabet_size, 3) |
|
599 |
val r = internalise(random_struct_gen(4))//ASTAR(List(),AALTS(List(),List(ASTAR(List(Z),ACHAR(List(),'a')), ASEQ(List(S),ACHAR(List(),'a'),ACHAR(List(),'b')))))//internalise(balanced_struct_gen(3))//SEQ(ALTS(List(STAR("a"),ALTS(List("a","c")))),SEQ(ALTS(List("c","a")),ALTS(List("c","b")))) //random_struct_gen(7)
|
|
| 4 | 600 |
for(j <- 0 to s.length - 1){
|
601 |
val ss = s.slice(0, j+ 1) |
|
| 107 | 602 |
val nangao = bders_simp_rf(ss.toList, r) |
603 |
val easy = bsimp_rf(bders_rf(ss.toList, r)) |
|
604 |
if(!(nangao == easy)){
|
|
| 4 | 605 |
println(j) |
| 10 | 606 |
println("not equal")
|
| 5 | 607 |
println("string")
|
| 4 | 608 |
println(ss) |
| 5 | 609 |
println("original regex")
|
| 107 | 610 |
println(annotated_tree(r)) |
| 5 | 611 |
println("regex after ders simp")
|
| 10 | 612 |
println(annotated_tree(nangao)) |
| 5 | 613 |
println("regex after ders")
|
| 107 | 614 |
println(annotated_tree(bders(ss.toList, r)))//flats' fuse when opening up AALTS causes the difference |
| 5 | 615 |
println("regex after ders and then a single simp")
|
| 7 | 616 |
println(annotated_tree(easy)) |
| 4 | 617 |
} |
618 |
} |
|
| 107 | 619 |
} |
| 4 | 620 |
} |
| 13 | 621 |
/* if(bts == cdbts){//test of equality code v = retrieve internalise(r) v if |- v : r
|
622 |
println(bts) |
|
623 |
println(cdbts) |
|
624 |
println("code v = retrieve internalise(r) v if |- v : r")
|
|
625 |
} |
|
| 14 | 626 |
|
627 |
||
628 |
val r_der_s = bders(st.toList, rg) |
|
629 |
println(aregx_tree(r_der_s)) |
|
630 |
val bts = retrieve(r_der_s, unsimplified_vl) |
|
631 |
val cdbts = code(unsimplified_vl) |
|
632 |
val simprg = bsimp(r_der_s) |
|
633 |
val frectv = decode(erase(simprg), cdbts) |
|
634 |
val simpbts = retrieve(simprg, frectv) |
|
635 |
if(bts == simpbts){
|
|
636 |
println("retrieve r v = retrieve (bsimp r) (decode bsimp(r) code(v))")
|
|
637 |
println("bits:")
|
|
638 |
//println(bts) |
|
639 |
println(simpbts) |
|
640 |
println("v = ")
|
|
641 |
println(unsimplified_vl) |
|
642 |
println("frect v = ")
|
|
643 |
println(frectv) |
|
644 |
} |
|
| 17 | 645 |
*///KH8W5BXL |
646 |
def nice_lex(r: Rexp, s: List[Char], ar: ARexp) : Val = s match {
|
|
647 |
case Nil => |
|
648 |
if (nullable(r)){
|
|
649 |
val vr = mkeps(r) |
|
650 |
val bits1 = retrieve(ar, vr) |
|
651 |
val av = bsimp2(ar, vr) |
|
652 |
val bits2 = retrieve(av._1, av._2) |
|
653 |
if(bits1 != bits2) throw new Exception("bsimp2 does not work")
|
|
654 |
vr |
|
655 |
} |
|
656 |
else throw new Exception("Not matched")
|
|
657 |
case c::cs => {
|
|
658 |
val vr = inj(r, c, nice_lex(der(c, r), cs, bder(c, ar))); |
|
659 |
val bits1 = retrieve(ar, vr); |
|
660 |
val av = bsimp2(ar, vr); |
|
661 |
val bits2 = retrieve(av._1, av._2); |
|
662 |
if(bits1 != bits2) throw new Exception("bsimp2 does not work");
|
|
663 |
vr |
|
664 |
} |
|
665 |
} |
|
666 |
def test_bsimp2(){
|
|
667 |
for(i <- 1 to 1000){
|
|
668 |
val rg = (balanced_struct_gen(9))//ASTAR(List(),AALTS(List(),List(ASTAR(List(Z),ACHAR(List(),'a')), ASEQ(List(S),ACHAR(List(),'a'),ACHAR(List(),'b')))))//internalise(balanced_struct_gen(3))//SEQ(ALTS(List(STAR("a"),ALTS(List("a","c")))),SEQ(ALTS(List("c","a")),ALTS(List("c","b"))))
|
|
669 |
val st = rd_string_gen(3, 4) |
|
670 |
val a = internalise(rg) |
|
671 |
val final_derivative = ders(st.toList, rg) |
|
672 |
if(nullable(final_derivative)) |
|
673 |
nice_lex(rg, st.toList, a) |
|
674 |
} |
|
675 |
} |
|
| 15 | 676 |
|
| 17 | 677 |
def neat_retrieve(){
|
678 |
for(i <- 1 to 1000){
|
|
679 |
val rg = internalise(balanced_struct_gen(6))//ASTAR(List(),AALTS(List(),List(ASTAR(List(Z),ACHAR(List(),'a')), ASEQ(List(S),ACHAR(List(),'a'),ACHAR(List(),'b')))))//internalise(balanced_struct_gen(3))//SEQ(ALTS(List(STAR("a"),ALTS(List("a","c")))),SEQ(ALTS(List("c","a")),ALTS(List("c","b"))))
|
|
680 |
val st = rd_string_gen(3, 5) |
|
681 |
val final_derivative = ders(st.toList, erase(rg)) |
|
682 |
if(nullable(final_derivative)){
|
|
683 |
val unsimplified_vl = mkeps(final_derivative) |
|
684 |
val arexp_for_retrieve = bders( st.toList, rg) |
|
685 |
val simp_ar_vl = bsimp2(arexp_for_retrieve, unsimplified_vl) |
|
686 |
val bits1 = retrieve(arexp_for_retrieve, unsimplified_vl) |
|
687 |
val bits2 = retrieve(simp_ar_vl._1, simp_ar_vl._2) |
|
688 |
if(bits1 != bits2){
|
|
689 |
println("nOOOOOOOOOO!")
|
|
| 15 | 690 |
} |
691 |
} |
|
|
11
9c1ca6d6e190
The C(Char) construct is incompatible with the code and retrieve in Fahad's thesis.
Chengsong
parents:
10
diff
changeset
|
692 |
} |
| 17 | 693 |
} |
694 |
||
| 7 | 695 |
def radical_correctness(){
|
696 |
enum(3, "abc").map(tests_blexer_simp(strs(3, "abc"))).toSet |
|
697 |
random_pool(1, 5).map(tests_blexer_simp(strs(5, "abc"))).toSet |
|
698 |
} |
|
| 15 | 699 |
def christian_def(){
|
700 |
val r = ALTS(List(SEQ(ZERO,CHAR('b')), ONE))
|
|
701 |
val v = Right(Empty) |
|
702 |
val a = internalise(r) |
|
| 17 | 703 |
val a_v = bsimp2(a,v) |
| 15 | 704 |
println(s"Testing ${r} and ${v}")
|
705 |
println(s"internalise(r) = ${a}")
|
|
| 17 | 706 |
println(s"a_v = ${a_v}")
|
| 15 | 707 |
val bs1 = retrieve(a, v) |
708 |
println(bs1) |
|
| 17 | 709 |
println(s"as = ${a_v._1}")
|
| 15 | 710 |
//val bs2 = retrieve(as, decode(erase(as), bs1)) |
| 17 | 711 |
val bs3 = retrieve(a_v._1, a_v._2)//decode(erase(as), bs1) does not work |
712 |
//println(decode(erase(as), bs1)) |
|
713 |
println(s"bs1=${bs1}, bs3=${bs3}")
|
|
714 |
//println(decode(erase(a_v._1), bs3)) |
|
| 15 | 715 |
} |
| 72 | 716 |
def christian_def2(){
|
| 89 | 717 |
val a = AALTS(List(S), List(AZERO, ASEQ(List(S), AALTS(List(S), List(AONE(List(S)), ACHAR(List(S), 'c'))), ACHAR(List(S),'c') )) ) |
718 |
//AALTS(List(Z), List(AZERO, ASEQ(List(), AALTS(List(),List(AONE(List()), ACHAR(Nil, 'b'))), ACHAR(Nil, 'b')) ) ) |
|
719 |
val unsimp = bsimp(bder('c',a))
|
|
720 |
val simped = bsimp(bder('c', bsimp(a)) )
|
|
| 72 | 721 |
println(bsimp(a)) |
| 89 | 722 |
if(unsimp != simped){
|
| 72 | 723 |
println(s"bsimp(bder c r) = ${unsimp}, whereas bsimp(bder c bsimp r) = ${simped}")
|
724 |
} |
|
725 |
} |
|
| 15 | 726 |
def essence_posix(){
|
| 16 | 727 |
//val s = "aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa"//rd_string_gen(alphabet_size, 3)//"abaa"//rd_string_gen(alphabet_size, 3) |
728 |
val s0 = "a" |
|
729 |
val r = SEQ(STAR(ALT("a", "aa")), "b")//internalise(random_struct_gen(4))//ASTAR(List(),AALTS(List(),List(ASTAR(List(Z),ACHAR(List(),'a')), ASEQ(List(S),ACHAR(List(),'a'),ACHAR(List(),'b')))))//internalise(balanced_struct_gen(3))//SEQ(ALTS(List(STAR("a"),ALTS(List("a","c")))),SEQ(ALTS(List("c","a")),ALTS(List("c","b")))) //random_struct_gen(7)
|
|
730 |
for(i <- 1 to 40){
|
|
731 |
val s = s0*i |
|
732 |
//printf("%d %d\n",i, size(ders(s.toList, r)))
|
|
733 |
printf("%d %d\n",i, asize(ders_simp( internalise(r), s.toList)))
|
|
734 |
//println(asize(ders_simp( internalise(r), s.toList))) |
|
735 |
} |
|
| 15 | 736 |
} |
| 16 | 737 |
|
| 87 | 738 |
def speed_test(){
|
739 |
val s0 = "a"*1000 |
|
740 |
val r = SEQ(STAR("a"), "b")
|
|
741 |
for(i <- 1 to 30){
|
|
742 |
val s = s0*i |
|
743 |
val start = System.nanoTime() |
|
744 |
try{
|
|
745 |
blex_simp(internalise(r), s.toList) |
|
746 |
} |
|
747 |
catch{
|
|
748 |
case x: Exception => |
|
749 |
} |
|
750 |
val end = System.nanoTime() |
|
751 |
printf("%d %f\n",i, (end - start)/1.0e9)
|
|
752 |
} |
|
753 |
} |
|
| 91 | 754 |
/* |
755 |
lemma retrieve_encode_STARS: |
|
756 |
assumes "∀v∈set vs. ⊨ v : r ∧ code v = retrieve (intern r) v" |
|
757 |
shows "code (Stars vs) = retrieve (ASTAR [] (intern r)) (Stars vs)" |
|
758 |
*/ |
|
759 |
def retrieve_encode_STARS(){
|
|
760 |
val r = ALT(CHAR('a'), SEQ(CHAR('a'),CHAR('b')) )
|
|
761 |
//val v = Stars(List(Sequ(Chr('a'), Chr('b')), Chr('a')) )
|
|
762 |
val v1 = Right(Sequ(Chr('a'), Chr('b')))
|
|
763 |
val v2 = Left(Chr('a'))
|
|
764 |
val compressed1 = code(v1) |
|
765 |
val compressed2 = code(v2) |
|
766 |
val xompressed1 = retrieve(internalise(r), v1) |
|
767 |
val xompressed2 = retrieve(internalise(r), v2) |
|
768 |
println(compressed1, compressed2, xompressed1, xompressed2) |
|
769 |
val v = Stars(List(v1, v2)) |
|
770 |
val compressed = code(v) |
|
771 |
val a = ASTAR(List(), internalise(r)) |
|
772 |
val xompressed = retrieve(a, v) |
|
773 |
println(compressed, xompressed) |
|
774 |
} |
|
775 |
//what does contains7 do? |
|
776 |
//it causes exception |
|
777 |
//relation between retreive, bder and injection |
|
778 |
// a match error occurs when doing the injection |
|
779 |
def contains7(){
|
|
780 |
val r = STAR( SEQ(CHAR('a'),CHAR('b')) )
|
|
781 |
val v = Sequ(Chr('b'), Stars(List(Sequ(Chr('a'), Chr('b')))))
|
|
782 |
val a = internalise(r) |
|
783 |
val c = 'a' |
|
784 |
val v_aug = inj(r, c, v) |
|
785 |
println("bder c r:")
|
|
786 |
println(bder(c, a)) |
|
787 |
println("r:")
|
|
788 |
println(a) |
|
789 |
println("bits they can both produce:")
|
|
790 |
println(retrieve(a, v_aug)) |
|
791 |
} |
|
792 |
def der_seq(r:ARexp, s: List[Char],acc: List[ARexp]) : List[ARexp] = s match{
|
|
793 |
case Nil => acc ::: List(r) |
|
794 |
case c::cs => der_seq(bder(c, r), cs, acc ::: List(r)) |
|
795 |
} |
|
796 |
def der_seq_rev(r:ARexp, s: List[Char], acc: List[ARexp]): List[ARexp] = s match{
|
|
797 |
case Nil => r::acc |
|
798 |
case c::cs =>der_seq_rev(r, cs, bders(s, r) :: acc ) |
|
799 |
} |
|
800 |
def re_close(l1: List[ARexp], l2: List[ARexp], re_init: ARexp): ARexp = l1 match {
|
|
801 |
case Nil => re_init |
|
802 |
case c::cs => if(bnullable(c)) re_close(cs, l2.tail, AALTS(List(), List(re_init, fuse(mkepsBC(c), l2.head)) ) ) |
|
803 |
else re_close(cs, l2.tail, re_init) |
|
804 |
} |
|
| 92 | 805 |
//HERE |
| 91 | 806 |
def closed_string_der(r1: ARexp, r2: ARexp, s: String): ARexp = {
|
807 |
val l1 = der_seq(r1, s.toList, Nil) |
|
808 |
val l2 = der_seq_rev(r2, s.toList, Nil) |
|
| 93 | 809 |
val Re = re_close((l1.reverse).tail, l2.tail, ASEQ(List(), l1.last, l2.head)) |
| 91 | 810 |
print(Re) |
811 |
val Comp = bders( s.toList, ASEQ(List(), r1, r2)) |
|
812 |
print(Comp ) |
|
813 |
if(Re != Comp){
|
|
814 |
println("boooooooooooooooo!joihniuguyfuyftyftyufuyids gheioueghrigdhxilj")
|
|
815 |
} |
|
816 |
Re |
|
817 |
} |
|
818 |
def newxp1(){
|
|
819 |
val r1 = internalise("ab"|"")
|
|
820 |
val r2 = internalise(("b")%)
|
|
821 |
val s = "abbbbb" |
|
822 |
val s2= "bbbbb" |
|
823 |
val s3 = "aaaaaa" |
|
824 |
//closed_string_der(r1, r2, s) |
|
825 |
//closed_string_der(r1, r2, s2) |
|
826 |
closed_string_der(r1, r2, s3) |
|
827 |
} |
|
| 92 | 828 |
|
829 |
def string_der_test(){
|
|
830 |
for(i <- 0 to 10){
|
|
831 |
val s = rd_string_gen(alphabet_size, i).toList |
|
832 |
val r = random_struct_gen(2) |
|
833 |
if(ders(s, r) != ders2(s, r)){
|
|
834 |
println(i) |
|
835 |
println(s) |
|
836 |
println(r) |
|
837 |
println(ders(s, r)) |
|
838 |
println(ders2(s,r)) |
|
839 |
println("neq")
|
|
840 |
} |
|
841 |
} |
|
842 |
} |
|
| 109 | 843 |
def have_fun(){
|
844 |
val bis = List(S,S) |
|
845 |
val bits = List(S,S,Z) |
|
846 |
val reg = ("a" | (("a")%) )~("b")
|
|
847 |
val res = decode_aux(reg, bis) |
|
848 |
val result = decode_aux(reg, bis) |
|
849 |
val result1 = decode_aux(reg, List(Z)) |
|
850 |
println(res) |
|
851 |
println(result) |
|
852 |
println(bsimp(bders( "a".toList, internalise(reg)))) |
|
853 |
println(result1) |
|
854 |
} |
|
| 0 | 855 |
def main(args: Array[String]) {
|
| 93 | 856 |
//println(S.toString) |
857 |
//find_re() |
|
| 107 | 858 |
//tellmewhy() |
859 |
//correctness_proof_convenient_path() |
|
| 110 | 860 |
tellmewhy() |
861 |
//have_fun() |
|
| 93 | 862 |
//string_der_test() |
| 92 | 863 |
//comp(rd_string_gen(3,6).toList, random_struct_gen(7)) |
864 |
//newxp1() |
|
| 91 | 865 |
//contains7() |
866 |
//retrieve_encode_STARS() |
|
| 4 | 867 |
//check_all() |
| 7 | 868 |
//radical_correctness() |
|
11
9c1ca6d6e190
The C(Char) construct is incompatible with the code and retrieve in Fahad's thesis.
Chengsong
parents:
10
diff
changeset
|
869 |
//correctness_proof_convenient_path() |
| 15 | 870 |
//retrieve_experience() |
| 17 | 871 |
//neat_retrieve() |
| 72 | 872 |
//test_bsimp2() |
| 91 | 873 |
//christian_def2() |
| 16 | 874 |
//christian_def() |
| 17 | 875 |
//essence_posix() |
| 89 | 876 |
//speed_test() |
| 0 | 877 |
} |
878 |
} |
|
| 93 | 879 |
//List( ASTAR(List(Z),ACHAR(List(),a)), AALTS(List(S),List(ACHAR(List(Z),b), ACHAR(List(S),a))) ) |