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Copy pathBinarySearch.scala
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BinarySearch.scala
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/**
* This code is based on a comment on stackexchange.com: http://codereview.stackexchange.com/questions/55629/binary-search-in-functional-style-scala
* which was written by Carsten, http://codereview.stackexchange.com/users/38429/carsten
*
* We took the implementation of binary search that can be found there.
* The code was changed substantially, for we replaced the cases with if-statements and added an extra break-condition.
* We fixed the code so it worked correctly, modified it so it could be staged,
* and then implemented a staged version of the algorithm.
* You can find the generated code in the "/out" folder.
*
* First the staged and unstaged versions are defined below.
* After that comes the run() function that performs the experiment.
* At the bottom are kopied versions of the generated code, because there were some troubles with the generated files.
*/
import scala.lms.common._
object BinarySearch extends IO {
val under = "Search"
var input: Array[Int] = Array()
val snippet = new DslDriver[Int,Int] {
def snippet(value: Rep[Int]): Rep[Int] = {
binarySearchStaged(value)
}
// Staged version of binary search
def binarySearchStaged(value: Rep[Int]): Rep[Int] = {
val runtimeArray = staticData(input)
// Recursive lambda funtion with staged binary search
def go(steps: Int): Rep[((Int,Int)) => Int] = { (lo: Rep[Int], hi: Rep[Int]) =>
generate_comment("bs_"+steps)
// Quit searching if search steps passed 2Log(n)
if (steps > scala.math.ceil(scala.math.log(input.size) / scala.math.log(2)))
unit(-1)
else if (lo > hi)
-1
else {
// 'Normal' binary search steps
val mid: Rep[Int] = lo + (hi - lo) / 2
if(runtimeArray(mid) == value)
mid
else if (runtimeArray(mid) < value)
go(steps + 1)(mid + 1, hi)
else
go(steps + 1)(lo, mid - 1)
}
}
go(0)(0, runtimeArray.length - 1)
}
}
// Unstaged version of binary search
def binarySearchUnstaged(value: Int): Int = {
var steps: Int = 0
def go(lo: Int, hi: Int): Int = {
// Quit searching if search steps passed 2Log(n)
if (steps > scala.math.ceil(scala.math.log(input.size) / scala.math.log(2)))
-1
else if (lo > hi)
-1
else {
// 'Normal' binary search steps
steps = steps + 1
val mid: Int = lo + (hi - lo) / 2
if(input(mid) == value)
mid
else if (input(mid) < value)
go(mid + 1, hi)
else
go(lo, mid - 1)
}
}
go(0, input.size - 1)
}
def run() = {
output_run(400000, 25)
output_run(40000, 250)
output_run(4000, 2500)
output_run(400, 25000)
output_run(40, 250000)
}
def output_run(x: Int, y: Int) {
println("====== Binary Search Run (Array size: "+x+") : "+y+"x ======")
var runtimeStaged: Double = 0.0
var runtimeUnstaged: Double = 0.0
System.gc()
// generating sorted search array of size x
val r = scala.util.Random
input = quickSort((for (i <- 1 to x) yield r.nextInt(2 * x)).toArray)
// compiling staged code
println("Generating code snippet in /out/"+under+"-bs-"+x+".actual.scala")
//snippet.eval(-1)
//exec("-bs-"+x, snippet.code)
for(c <- 1 to y)
{
// measuring runtime of staged/generated code
val ts1 = System.nanoTime() / 1000000.0
for(b <- 0 until x)
{
//snippet.eval(input(b))
if(x == 40) { apply_40(input(b)) }
else if (x == 400) { apply_400(input(b)) }
else if (x == 4000) { apply_4000(input(b)) }
else if (x == 40000) { apply_40000(input(b)) }
else if (x == 400000) { apply_400000(input(b)) }
}
val ts2 = System.nanoTime() / 1000000.0
// measuring runtime of unstaged code
val tu1 = System.nanoTime() / 1000000.0
for(a <- 0 until x)
binarySearchUnstaged(input(a))
val tu2 = System.nanoTime() / 1000000.0
runtimeStaged = runtimeStaged + (ts2 - ts1)
runtimeUnstaged = runtimeUnstaged + (tu2 - tu1)
}
// print results in console
runtimeStaged = scala.math.BigDecimal(runtimeStaged / ((x * y) / 1000000)).setScale(2, BigDecimal.RoundingMode.HALF_UP).toDouble
runtimeUnstaged = scala.math.BigDecimal(runtimeUnstaged / ((x * y) / 1000000)).setScale(2, BigDecimal.RoundingMode.HALF_UP).toDouble
println("Total runtime staged: "+ runtimeStaged + " ms for 1,000,000 searches")
println("Total runtime unstaged: "+ runtimeUnstaged + " ms for 1,000,000 searches")
println("")
}
// QuickSort is used to sort the input array
def quickSort(xs: Array[Int]): Array[Int] = {
if (xs.length <= 1) xs
else {
val pivot = xs(xs.length / 2)
Array.concat(
quickSort(xs filter (pivot >)),
xs filter (pivot ==),
quickSort(xs filter (pivot <)))
}
}
// These functions are kopied from the code that was generated, because there were some troubles
// In stead of the staticData array the input array is used, where the number is the array size
def apply_400000(x0:Int): Int = {
val x1 = input
val x262 = {(x263:Int,x264:Int) =>
// bs_20
-1: Int
}
val x249 = {(x250:Int,x251:Int) =>
// bs_19
val x252 = x250
val x253 = x251
val x255 = x252 > x253
val x281 = if (x255) {
-1
} else {
val x256 = x253 - x252
val x257 = x256 / 2
val x258 = x252 + x257
val x259 = x1(x258)
val x260 = x259 == x0
val x279 = if (x260) {
x258
} else {
val x261 = x259 < x0
val x277 = if (x261) {
val x269 = x258 + 1
val x271 = x262(x269,x253)
x271
} else {
val x273 = x258 - 1
val x275 = x262(x252,x273)
x275
}
x277
}
x279
}
x281: Int
}
val x236 = {(x237:Int,x238:Int) =>
// bs_18
val x239 = x237
val x240 = x238
val x242 = x239 > x240
val x295 = if (x242) {
-1
} else {
val x243 = x240 - x239
val x244 = x243 / 2
val x245 = x239 + x244
val x246 = x1(x245)
val x247 = x246 == x0
val x293 = if (x247) {
x245
} else {
val x248 = x246 < x0
val x291 = if (x248) {
val x283 = x245 + 1
val x285 = x249(x283,x240)
x285
} else {
val x287 = x245 - 1
val x289 = x249(x239,x287)
x289
}
x291
}
x293
}
x295: Int
}
val x223 = {(x224:Int,x225:Int) =>
// bs_17
val x226 = x224
val x227 = x225
val x229 = x226 > x227
val x309 = if (x229) {
-1
} else {
val x230 = x227 - x226
val x231 = x230 / 2
val x232 = x226 + x231
val x233 = x1(x232)
val x234 = x233 == x0
val x307 = if (x234) {
x232
} else {
val x235 = x233 < x0
val x305 = if (x235) {
val x297 = x232 + 1
val x299 = x236(x297,x227)
x299
} else {
val x301 = x232 - 1
val x303 = x236(x226,x301)
x303
}
x305
}
x307
}
x309: Int
}
val x210 = {(x211:Int,x212:Int) =>
// bs_16
val x213 = x211
val x214 = x212
val x216 = x213 > x214
val x323 = if (x216) {
-1
} else {
val x217 = x214 - x213
val x218 = x217 / 2
val x219 = x213 + x218
val x220 = x1(x219)
val x221 = x220 == x0
val x321 = if (x221) {
x219
} else {
val x222 = x220 < x0
val x319 = if (x222) {
val x311 = x219 + 1
val x313 = x223(x311,x214)
x313
} else {
val x315 = x219 - 1
val x317 = x223(x213,x315)
x317
}
x319
}
x321
}
x323: Int
}
val x197 = {(x198:Int,x199:Int) =>
// bs_15
val x200 = x198
val x201 = x199
val x203 = x200 > x201
val x337 = if (x203) {
-1
} else {
val x204 = x201 - x200
val x205 = x204 / 2
val x206 = x200 + x205
val x207 = x1(x206)
val x208 = x207 == x0
val x335 = if (x208) {
x206
} else {
val x209 = x207 < x0
val x333 = if (x209) {
val x325 = x206 + 1
val x327 = x210(x325,x201)
x327
} else {
val x329 = x206 - 1
val x331 = x210(x200,x329)
x331
}
x333
}
x335
}
x337: Int
}
val x184 = {(x185:Int,x186:Int) =>
// bs_14
val x187 = x185
val x188 = x186
val x190 = x187 > x188
val x351 = if (x190) {
-1
} else {
val x191 = x188 - x187
val x192 = x191 / 2
val x193 = x187 + x192
val x194 = x1(x193)
val x195 = x194 == x0
val x349 = if (x195) {
x193
} else {
val x196 = x194 < x0
val x347 = if (x196) {
val x339 = x193 + 1
val x341 = x197(x339,x188)
x341
} else {
val x343 = x193 - 1
val x345 = x197(x187,x343)
x345
}
x347
}
x349
}
x351: Int
}
val x171 = {(x172:Int,x173:Int) =>
// bs_13
val x174 = x172
val x175 = x173
val x177 = x174 > x175
val x365 = if (x177) {
-1
} else {
val x178 = x175 - x174
val x179 = x178 / 2
val x180 = x174 + x179
val x181 = x1(x180)
val x182 = x181 == x0
val x363 = if (x182) {
x180
} else {
val x183 = x181 < x0
val x361 = if (x183) {
val x353 = x180 + 1
val x355 = x184(x353,x175)
x355
} else {
val x357 = x180 - 1
val x359 = x184(x174,x357)
x359
}
x361
}
x363
}
x365: Int
}
val x158 = {(x159:Int,x160:Int) =>
// bs_12
val x161 = x159
val x162 = x160
val x164 = x161 > x162
val x379 = if (x164) {
-1
} else {
val x165 = x162 - x161
val x166 = x165 / 2
val x167 = x161 + x166
val x168 = x1(x167)
val x169 = x168 == x0
val x377 = if (x169) {
x167
} else {
val x170 = x168 < x0
val x375 = if (x170) {
val x367 = x167 + 1
val x369 = x171(x367,x162)
x369
} else {
val x371 = x167 - 1
val x373 = x171(x161,x371)
x373
}
x375
}
x377
}
x379: Int
}
val x145 = {(x146:Int,x147:Int) =>
// bs_11
val x148 = x146
val x149 = x147
val x151 = x148 > x149
val x393 = if (x151) {
-1
} else {
val x152 = x149 - x148
val x153 = x152 / 2
val x154 = x148 + x153
val x155 = x1(x154)
val x156 = x155 == x0
val x391 = if (x156) {
x154
} else {
val x157 = x155 < x0
val x389 = if (x157) {
val x381 = x154 + 1
val x383 = x158(x381,x149)
x383
} else {
val x385 = x154 - 1
val x387 = x158(x148,x385)
x387
}
x389
}
x391
}
x393: Int
}
val x132 = {(x133:Int,x134:Int) =>
// bs_10
val x135 = x133
val x136 = x134
val x138 = x135 > x136
val x407 = if (x138) {
-1
} else {
val x139 = x136 - x135
val x140 = x139 / 2
val x141 = x135 + x140
val x142 = x1(x141)
val x143 = x142 == x0
val x405 = if (x143) {
x141
} else {
val x144 = x142 < x0
val x403 = if (x144) {
val x395 = x141 + 1
val x397 = x145(x395,x136)
x397
} else {
val x399 = x141 - 1
val x401 = x145(x135,x399)
x401
}
x403
}
x405
}
x407: Int
}
val x119 = {(x120:Int,x121:Int) =>
// bs_9
val x122 = x120
val x123 = x121
val x125 = x122 > x123
val x421 = if (x125) {
-1
} else {
val x126 = x123 - x122
val x127 = x126 / 2
val x128 = x122 + x127
val x129 = x1(x128)
val x130 = x129 == x0
val x419 = if (x130) {
x128
} else {
val x131 = x129 < x0
val x417 = if (x131) {
val x409 = x128 + 1
val x411 = x132(x409,x123)
x411
} else {
val x413 = x128 - 1
val x415 = x132(x122,x413)
x415
}
x417
}
x419
}
x421: Int
}
val x106 = {(x107:Int,x108:Int) =>
// bs_8
val x109 = x107
val x110 = x108
val x112 = x109 > x110
val x435 = if (x112) {
-1
} else {
val x113 = x110 - x109
val x114 = x113 / 2
val x115 = x109 + x114
val x116 = x1(x115)
val x117 = x116 == x0
val x433 = if (x117) {
x115
} else {
val x118 = x116 < x0
val x431 = if (x118) {
val x423 = x115 + 1
val x425 = x119(x423,x110)
x425
} else {
val x427 = x115 - 1
val x429 = x119(x109,x427)
x429
}
x431
}
x433
}
x435: Int
}
val x93 = {(x94:Int,x95:Int) =>
// bs_7
val x96 = x94
val x97 = x95
val x99 = x96 > x97
val x449 = if (x99) {
-1
} else {
val x100 = x97 - x96
val x101 = x100 / 2
val x102 = x96 + x101
val x103 = x1(x102)
val x104 = x103 == x0
val x447 = if (x104) {
x102
} else {
val x105 = x103 < x0
val x445 = if (x105) {
val x437 = x102 + 1
val x439 = x106(x437,x97)
x439
} else {
val x441 = x102 - 1
val x443 = x106(x96,x441)
x443
}
x445
}
x447
}
x449: Int
}
val x80 = {(x81:Int,x82:Int) =>
// bs_6
val x83 = x81
val x84 = x82
val x86 = x83 > x84
val x463 = if (x86) {
-1
} else {
val x87 = x84 - x83
val x88 = x87 / 2
val x89 = x83 + x88
val x90 = x1(x89)
val x91 = x90 == x0
val x461 = if (x91) {
x89
} else {
val x92 = x90 < x0
val x459 = if (x92) {
val x451 = x89 + 1
val x453 = x93(x451,x84)
x453
} else {
val x455 = x89 - 1
val x457 = x93(x83,x455)
x457
}
x459
}
x461
}
x463: Int
}
val x67 = {(x68:Int,x69:Int) =>
// bs_5
val x70 = x68
val x71 = x69
val x73 = x70 > x71
val x477 = if (x73) {
-1
} else {
val x74 = x71 - x70
val x75 = x74 / 2
val x76 = x70 + x75
val x77 = x1(x76)
val x78 = x77 == x0
val x475 = if (x78) {
x76
} else {
val x79 = x77 < x0
val x473 = if (x79) {
val x465 = x76 + 1
val x467 = x80(x465,x71)
x467
} else {
val x469 = x76 - 1
val x471 = x80(x70,x469)
x471
}
x473
}
x475
}
x477: Int
}
val x54 = {(x55:Int,x56:Int) =>
// bs_4
val x57 = x55
val x58 = x56
val x60 = x57 > x58
val x491 = if (x60) {
-1
} else {
val x61 = x58 - x57
val x62 = x61 / 2
val x63 = x57 + x62
val x64 = x1(x63)
val x65 = x64 == x0
val x489 = if (x65) {
x63
} else {
val x66 = x64 < x0
val x487 = if (x66) {
val x479 = x63 + 1
val x481 = x67(x479,x58)
x481
} else {
val x483 = x63 - 1
val x485 = x67(x57,x483)
x485
}
x487
}
x489
}
x491: Int
}
val x41 = {(x42:Int,x43:Int) =>
// bs_3
val x44 = x42
val x45 = x43
val x47 = x44 > x45
val x505 = if (x47) {
-1
} else {
val x48 = x45 - x44
val x49 = x48 / 2
val x50 = x44 + x49
val x51 = x1(x50)
val x52 = x51 == x0
val x503 = if (x52) {
x50
} else {
val x53 = x51 < x0
val x501 = if (x53) {
val x493 = x50 + 1
val x495 = x54(x493,x45)
x495
} else {
val x497 = x50 - 1
val x499 = x54(x44,x497)
x499
}
x501
}
x503
}
x505: Int
}
val x28 = {(x29:Int,x30:Int) =>
// bs_2
val x31 = x29
val x32 = x30
val x34 = x31 > x32
val x519 = if (x34) {
-1
} else {
val x35 = x32 - x31
val x36 = x35 / 2
val x37 = x31 + x36
val x38 = x1(x37)
val x39 = x38 == x0
val x517 = if (x39) {
x37
} else {
val x40 = x38 < x0
val x515 = if (x40) {
val x507 = x37 + 1
val x509 = x41(x507,x32)
x509
} else {
val x511 = x37 - 1
val x513 = x41(x31,x511)
x513
}
x515
}
x517
}
x519: Int
}
val x15 = {(x16:Int,x17:Int) =>
// bs_1
val x18 = x16
val x19 = x17
val x21 = x18 > x19
val x533 = if (x21) {
-1
} else {
val x22 = x19 - x18
val x23 = x22 / 2
val x24 = x18 + x23
val x25 = x1(x24)
val x26 = x25 == x0
val x531 = if (x26) {
x24
} else {
val x27 = x25 < x0
val x529 = if (x27) {
val x521 = x24 + 1
val x523 = x28(x521,x19)
x523
} else {
val x525 = x24 - 1
val x527 = x28(x18,x525)
x527
}
x529
}
x531
}
x533: Int
}
val x2 = {(x3:Int,x4:Int) =>
// bs_0
val x5 = x3
val x6 = x4
val x8 = x5 > x6
val x547 = if (x8) {
-1
} else {
val x9 = x6 - x5
val x10 = x9 / 2
val x11 = x5 + x10
val x12 = x1(x11)
val x13 = x12 == x0
val x545 = if (x13) {
x11
} else {
val x14 = x12 < x0
val x543 = if (x14) {
val x535 = x11 + 1
val x537 = x15(x535,x6)
x537
} else {
val x539 = x11 - 1
val x541 = x15(x5,x539)
x541
}
x543
}
x545
}
x547: Int
}
val x549 = x1.length
val x550 = x549 - 1
val x552 = x2(0,x550)
x552
}
def apply_40000(x0:Int): Int = {
val x1 = input
val x223 = {(x224:Int,x225:Int) =>
// bs_17
-1: Int
}
val x210 = {(x211:Int,x212:Int) =>
// bs_16
val x213 = x211
val x214 = x212
val x216 = x213 > x214
val x242 = if (x216) {
-1
} else {
val x217 = x214 - x213
val x218 = x217 / 2
val x219 = x213 + x218
val x220 = x1(x219)
val x221 = x220 == x0
val x240 = if (x221) {
x219
} else {
val x222 = x220 < x0
val x238 = if (x222) {
val x230 = x219 + 1
val x232 = x223(x230,x214)
x232
} else {
val x234 = x219 - 1
val x236 = x223(x213,x234)
x236
}
x238
}
x240
}
x242: Int
}
val x197 = {(x198:Int,x199:Int) =>
// bs_15
val x200 = x198
val x201 = x199
val x203 = x200 > x201
val x256 = if (x203) {
-1
} else {
val x204 = x201 - x200
val x205 = x204 / 2
val x206 = x200 + x205
val x207 = x1(x206)
val x208 = x207 == x0
val x254 = if (x208) {
x206
} else {
val x209 = x207 < x0
val x252 = if (x209) {
val x244 = x206 + 1
val x246 = x210(x244,x201)
x246
} else {
val x248 = x206 - 1
val x250 = x210(x200,x248)
x250
}
x252
}
x254
}
x256: Int
}
val x184 = {(x185:Int,x186:Int) =>
// bs_14
val x187 = x185
val x188 = x186
val x190 = x187 > x188
val x270 = if (x190) {
-1
} else {
val x191 = x188 - x187
val x192 = x191 / 2
val x193 = x187 + x192
val x194 = x1(x193)
val x195 = x194 == x0
val x268 = if (x195) {
x193
} else {
val x196 = x194 < x0
val x266 = if (x196) {
val x258 = x193 + 1
val x260 = x197(x258,x188)
x260
} else {
val x262 = x193 - 1
val x264 = x197(x187,x262)
x264
}
x266
}
x268
}
x270: Int
}
val x171 = {(x172:Int,x173:Int) =>
// bs_13
val x174 = x172
val x175 = x173
val x177 = x174 > x175
val x284 = if (x177) {
-1
} else {
val x178 = x175 - x174
val x179 = x178 / 2
val x180 = x174 + x179
val x181 = x1(x180)
val x182 = x181 == x0
val x282 = if (x182) {
x180
} else {
val x183 = x181 < x0
val x280 = if (x183) {
val x272 = x180 + 1
val x274 = x184(x272,x175)
x274
} else {
val x276 = x180 - 1
val x278 = x184(x174,x276)
x278
}
x280
}
x282
}
x284: Int
}
val x158 = {(x159:Int,x160:Int) =>
// bs_12
val x161 = x159
val x162 = x160
val x164 = x161 > x162
val x298 = if (x164) {
-1
} else {
val x165 = x162 - x161
val x166 = x165 / 2
val x167 = x161 + x166
val x168 = x1(x167)
val x169 = x168 == x0
val x296 = if (x169) {
x167
} else {
val x170 = x168 < x0
val x294 = if (x170) {
val x286 = x167 + 1
val x288 = x171(x286,x162)
x288
} else {
val x290 = x167 - 1
val x292 = x171(x161,x290)
x292
}
x294
}
x296
}
x298: Int
}
val x145 = {(x146:Int,x147:Int) =>
// bs_11
val x148 = x146
val x149 = x147
val x151 = x148 > x149
val x312 = if (x151) {
-1
} else {
val x152 = x149 - x148
val x153 = x152 / 2
val x154 = x148 + x153
val x155 = x1(x154)
val x156 = x155 == x0
val x310 = if (x156) {
x154
} else {
val x157 = x155 < x0
val x308 = if (x157) {
val x300 = x154 + 1
val x302 = x158(x300,x149)
x302
} else {
val x304 = x154 - 1
val x306 = x158(x148,x304)
x306
}
x308
}
x310
}
x312: Int