Hashtron inference
You are encouraged to solve this task according to the task description, using any language you may know.
Hashtron classifier inference
Description
This task involves implementing a Hashtron classifier inference function. Hashtron classifier program can be machine learned to calculate arbitrary finite computable functions or sets (Given enough CPU time and RAM). The Hashtron classifier takes a command and a number of bits to infer, using a provided program configuration. The inference function for the test will generate a pseudo-random n-bits output. The inference function for the square root demo will generate a square root of a command in range: 0 <= command < 256.
Examples
Test demo
Given the following program configuration and input command:
Program configuration:
Input command:
42
Number of bits:
64
Program:
[[0,2]]
The inference function should process the input and generate the following 64-bit output:
14106184687260844995
Square root demo
Given the following program configuration and input command:
Program configuration:
Input command: A byte (integer) to take square root of.
Number of bits:
4
Program:
[[8776,79884], [12638,1259], [9953,1242], [4658,1228], [5197,1210], [12043,1201], [6892,1183], [7096,1168], [10924,1149], [5551,1136], [5580,1123], [3735,1107], [3652,1091], [12191,1076], [14214,1062], [13056,1045], [14816,1031], [15205,1017], [10736,1001], [9804,989], [13081,974], [6706,960], [13698,944], [14369,928], [16806,917], [9599,906], [9395,897], [4885,883], [10237,870], [10676,858], [18518,845], [2619,833], [13715,822], [11065,810], [9590,799], [5747,785], [2627,776], [8962,764], [5575,750], [3448,738], [5731,725], [9434,714], [3163,703], [3307,690], [3248,678], [3259,667], [3425,657], [3506,648], [3270,639], [3634,627], [3077,617], [3511,606], [27159,597], [27770,589], [28496,580], [28481,571], [29358,562], [31027,552], [30240,543], [30643,534], [31351,527], [31993,519], [32853,510], [33078,502], [33688,495], [29732,487], [29898,480], [29878,474], [26046,468], [26549,461], [28792,453], [26101,446], [32971,439], [29704,432], [23193,426], [29509,421], [27079,415], [32453,409], [24737,404], [25725,400], [23755,395], [52538,393], [53242,386], [19609,380], [26492,377], [24566,358], [31163,368], [57174,363], [26639,364], [31365,357], [60918,350], [21235,338], [28072,322], [28811,314], [27571,320], [17635,309], [51968,169], [54367,323], [60541,254], [26732,270], [52457,157], [27181,276], [19874,227], [22797,320], [59346,271], [25496,260], [54265,231], [22281,250], [42977,318], [26008,240], [87604,142], [94647,314], [52292,157], [20999,216], [89253,316], [22746,29], [68338,312], [22557,317], [110904,104], [70975,285], [51835,277], [51871,313], [132221,228], [18522,290], [68512,285], [118816,302], [150865,268], [68871,273], [68139,290], [84984,285], [150693,266], [396047,272], [84923,269], [215562,258], [68015,248], [247689,235], [214471,229], [264395,221], [263287,212], [280193,201], [108065,194], [263616,187], [148609,176], [263143,173], [378205,162], [312547,154], [50400,147], [328927,140], [279217,132], [181111,127], [672098,118], [657196,113], [459383,111], [833281,105], [520281,102], [755397,95], [787994,91], [492444,82], [1016592,77], [656147,71], [819893,66], [165531,61], [886503,57], [1016551,54], [3547827,49], [14398170,43], [395900,41], [4950628,37], [11481175,33], [100014881,30], [8955328,31], [11313984,27], [13640855,23], [528553762,21], [63483027,17], [952477,8], [950580,4], [918378,2], [918471,1]]
The inference function should process the input and generate the square root of the input byte.
ALGOL 68
In Algol 68, the standard bit manipulation operations are not defined for integers, but for the BITS type. This sample implements operators to handle bit manipulation with integers. These operators also handle bit manipulation with negative numbers - which is not allowed in the standard Algol 68 operators (presumably to avoid getting different results depending on how negative numbers are represented - at the time Algol 68 was defined, two's complement possibly wasn't as universal as it is now).
Because Algol 68 doesn't have unsigned types, integers larger than 64 bits are required. This uses Algol 68G's LONG INT which is 128 bits in version 3 and big enough to hold 35 digits in version 2.
BEGIN # Hashtron Inference - translated from the Go sample #
# operators, modes, etc., to allow bit manipulation on unsigned INT values #
# as Algol 68 doesn't have unsigned integers and we need to have values #
# bigger than 2^63, we use LONG INT (128 bit in Algol 68G) #
# adjust to suit for other implementations #
MODE HINT = LONG INT; # needs to be big enoungh for 2^63 + 1 #
MODE HBIT = LONG BITS;
HBIT b32 = 16rffffffff; # 32-bit mask #
OP TOBITS = ( HINT a )HBIT: IF a >= 0 THEN BIN a ELSE NOT BIN ( - ( a + 1 ) ) FI;
OP TOBITS = ( INT a )HBIT: TOBITS HINT( a );
OP TOINT = ( HBIT a )HINT: IF 1 ELEM a THEN - ( ABS NOT a + 1 ) ELSE ABS a FI;
PRIO ANDAB = 1, ORAB = 1, XORAB = 1;
OP ANDAB = ( REF HINT a, HINT b )REF HINT: a := TOINT ( TOBITS a AND TOBITS b );
OP ANDAB = ( REF HINT a, INT b )REF HINT: a ANDAB HINT( b );
OP ANDAB = ( REF HINT a, HBIT b )REF HINT: a := TOINT ( TOBITS a AND b );
OP ORAB = ( REF HINT a, HINT b )REF HINT: a := TOINT ( TOBITS a OR TOBITS b );
OP XORAB = ( REF HINT a, HINT b )REF HINT: a := TOINT ( TOBITS a XOR TOBITS b );
OP SHL = ( HINT a, INT b )HINT: TOINT ( TOBITS a SHL b );
OP SHL = ( INT a, INT b )HINT: TOINT ( TOBITS HINT( a ) SHL b );
OP SHR = ( HINT a, INT b )HINT: TOINT ( TOBITS a SHR b );
OP OR = ( HINT a, HINT b )HINT: TOINT ( TOBITS a OR TOBITS b );
OP AND = ( HINT a, HBIT b )HINT: TOINT ( TOBITS a AND b );
MODE PGM = STRUCT( INT low, high );
PRIO H = 9;
OP H = ( INT a, b )PGM: ( a, b );
PROC hash = ( HINT n, s, max )HINT:
BEGIN
# Mixing stage, mix input with salt using subtraction #
HINT m := ( n - s ) AND b32;
# Hashing stage, use xor shift with prime coefficients #
m XORAB ( m SHL 2 ) AND b32;
m XORAB ( m SHL 3 ) AND b32;
m XORAB ( m SHR 5 ) AND b32;
m XORAB ( m SHR 7 ) AND b32;
m XORAB ( m SHL 11 ) AND b32;
m XORAB ( m SHL 13 ) AND b32;
m XORAB ( m SHR 17 ) AND b32;
m XORAB ( m SHL 19 ) AND b32;
# Mixing stage 2, mix input with salt using addition #
m +:= s ANDAB b32;
# Modular stage using Lemire's fast alternative to modulo reduction #
( ( m * max ) SHR 32 ) AND b32
END # hash # ;
PROC inference = ( HINT command, INT nbits, []PGM program in )HINT:
IF UPB program in < LWB program in
THEN # the program is empty # 0
ELSE
HINT out := 0;
# Iterate over the bits #
[]PGM program = program in[ AT 0 ];
FOR j FROM 0 TO nbits - 1 DO
HINT input := command OR ( j SHL 16 );
PGM pr0 = program[ 0 ];
HINT ss = low OF pr0;
HINT maxx := high OF pr0;
input := hash( input, ss, maxx );
FOR i FROM 1 TO UPB program DO
PGM pri = program[ i ];
HINT s = low OF pri, max = high OF pri;
maxx -:= max;
input := hash( input, s, maxx )
OD;
input ANDAB 1;
IF input /= 0 THEN
out ORAB 1 SHL j
FI
OD;
out
FI # inference # ;
print( ( "Test Demo: ", whole( inference( 42, 64, 0H2 ), 0 ), newline ) );
[]PGM sq root
= ( 8776H79884, 12638H1259, 9953H1242, 4658H1228, 5197H1210
, 12043H1201, 6892H1183, 7096H1168, 10924H1149, 5551H1136
, 5580H1123, 3735H1107, 3652H1091, 12191H1076, 14214H1062
, 13056H1045, 14816H1031, 15205H1017, 10736H1001, 9804H989
, 13081H974, 6706H960, 13698H944, 14369H928, 16806H917
, 9599H906, 9395H897, 4885H883, 10237H870, 10676H858
, 18518H845, 2619H833, 13715H822, 11065H810, 9590H799
, 5747H785, 2627H776, 8962H764, 5575H750, 3448H738
, 5731H725, 9434H714, 3163H703, 3307H690, 3248H678
, 3259H667, 3425H657, 3506H648, 3270H639, 3634H627
, 3077H617, 3511H606, 27159H597, 27770H589, 28496H580
, 28481H571, 29358H562, 31027H552, 30240H543, 30643H534
, 31351H527, 31993H519, 32853H510, 33078H502, 33688H495
, 29732H487, 29898H480, 29878H474, 26046H468, 26549H461
, 28792H453, 26101H446, 32971H439, 29704H432, 23193H426
, 29509H421, 27079H415, 32453H409, 24737H404, 25725H400
, 23755H395, 52538H393, 53242H386, 19609H380, 26492H377
, 24566H358, 31163H368, 57174H363, 26639H364, 31365H357
, 60918H350, 21235H338, 28072H322, 28811H314, 27571H320
, 17635H309, 51968H169, 54367H323, 60541H254, 26732H270
, 52457H157, 27181H276, 19874H227, 22797H320, 59346H271
, 25496H260, 54265H231, 22281H250, 42977H318, 26008H240
, 87604H142, 94647H314, 52292H157, 20999H216, 89253H316
, 22746H29, 68338H312, 22557H317, 110904H104, 70975H285
, 51835H277, 51871H313, 132221H228, 18522H290, 68512H285
, 118816H302, 150865H268, 68871H273, 68139H290, 84984H285
, 150693H266, 396047H272, 84923H269, 215562H258, 68015H248
, 247689H235, 214471H229, 264395H221, 263287H212, 280193H201
, 108065H194, 263616H187, 148609H176, 263143H173, 378205H162
, 312547H154, 50400H147, 328927H140, 279217H132, 181111H127
, 672098H118, 657196H113, 459383H111, 833281H105, 520281H102
, 755397H95, 787994H91, 492444H82, 1016592H77, 656147H71
, 819893H66, 165531H61, 886503H57, 1016551H54, 3547827H49
, 14398170H43, 395900H41, 4950628H37, 11481175H33, 100014881H30
, 8955328H31, 11313984H27, 13640855H23, 528553762H21, 63483027H17
, 952477H8, 950580H4, 918378H2, 918471H1
);
print( ( newline, "Square root demo for commands in [0..255]:", newline ) );
FOR i FROM 0 TO 255 DO
print( ( whole( inference( i, 4, sq root ), -3 ) ) );
IF ( i + 1 ) MOD 16 = 0 THEN print( ( newline ) ) FI
OD
END- Output:
Test Demo: 14106184687260844995 Square root demo for commands in [0..255]: 0 1 1 1 2 2 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15
FreeBASIC
Function hash(n As Ulongint, s As Ulongint, max As Ulongint) As Ulongint
Dim As Ulongint k = &hFFFFFFFF
' Mixing stage, mix input with salt using subtraction
Dim As Ulongint m = (n - s) And k
' Hashing stage, use xor shift with prime coefficients
m Xor= ((m Shl 2) And k)
m Xor= ((m Shl 3) And k)
m Xor= ((m Shr 5) And k)
m Xor= ((m Shr 7) And k)
m Xor= ((m Shl 11) And k)
m Xor= ((m Shl 13) And k)
m Xor= ((m Shr 17) And k)
m Xor= ((m Shl 19) And k)
' Mixing stage 2, mix input with salt using addition
m = (m + s) And k
' Modular stage using Lemire's fast alternative to modulo reduction
Return ((m * max) Shr 32) And k
End Function
Function inference(comando As Ulongint, bits As Integer, program() As Ulong) As Ulongint
Dim As Ulongint salida = 0
' Check if the program is empty
If Ubound(program) = -1 Then Return salida
' Iterate over the bits
For j As Integer = 0 To bits - 1
Dim As Ulongint entrada = comando Or (j Shl 16)
Dim As Ulongint ss = program(0)
Dim As Ulongint maxx = program(1)
entrada = hash(entrada, ss, maxx)
For i As Integer = 1 To Ubound(program)
Dim As Ulongint s = program(i)
Dim As Ulongint max = program(i + 1)
maxx -= max
entrada = hash(entrada, s, maxx)
Next i
entrada And= 1
If entrada <> 0 Then salida Or= (1 Shl j)
Next j
Return salida
End Function
Dim As Ulong program(1) = {0, 2}
Print "Test demo:"
Print inference(42, 64, program())
Sleep
Go
package main
func Inference(command uint32, bits byte, program [][2]uint32) (out uint64) {
// Check if the program is empty
if len(program) == 0 {
return
}
// Iterate over the bits
for j := byte(0); j < bits; j++ {
var input = command | (uint32(j) << 16)
var ss, maxx = program[0][0], program[0][1]
input = Hash(input, ss, maxx)
for i := 1; i < len(program); i++ {
var s, max = program[i][0], program[i][1]
maxx -= max
input = Hash(input, s, maxx)
}
input &= 1
if input != 0 {
out |= 1 << j
}
}
return
}
func Hash(n uint32, s uint32, max uint32) uint32 {
// Mixing stage, mix input with salt using subtraction
var m = n - s
// Hashing stage, use xor shift with prime coefficients
m ^= m << 2
m ^= m << 3
m ^= m >> 5
m ^= m >> 7
m ^= m << 11
m ^= m << 13
m ^= m >> 17
m ^= m << 19
// Mixing stage 2, mix input with salt using addition
m += s
// Modular stage using Lemire's fast alternative to modulo reduction
return uint32((uint64(m) * uint64(max)) >> 32)
}
func main() {
println(Inference(42, 64, [][2]uint32{{0, 2}}))
}
https://go.dev/play/p/AsmOzKWx7jB
Java
public class Main {
public static long inference(long command, long bits, long[][] program) {
long out = 0;
// Check if the program is empty
if (program.length == 0) {
return out;
}
// Iterate over the bits
for (long j = 0; j < bits; j++) {
long input = (command & 0xFFFFFFFF) | (((long)j & 0xFF) << (long)16);
long ss = program[0][0];
long maxx = program[0][1];
input = hash(input, ss, maxx);
for (long i = 1; i < program.length; i++) {
long s = program[(int)i][0];
long max = program[(int)i][1];
maxx -= max;
input = hash(input, s, maxx);
}
input &= 1;
if (input != 0) {
out |= (long)1 << (long) j;
}
}
return out;
}
public static long hash(long n, long s, long max_val) {
// Mixing stage, mix input with salt using subtraction
long m = (n - s) & 0xFFFFFFFFL;
// Hashing stage, use xor shift with prime coefficients
m ^= (m << 2) & 0xFFFFFFFFL;
m ^= (m << 3) & 0xFFFFFFFFL;
m ^= (m >> 5) & 0xFFFFFFFFL;
m ^= (m >> 7) & 0xFFFFFFFFL;
m ^= (m << 11) & 0xFFFFFFFFL;
m ^= (m << 13) & 0xFFFFFFFFL;
m ^= (m >> 17) & 0xFFFFFFFFL;
m ^= (m << 19) & 0xFFFFFFFFL;
// Mixing stage 2, mix input with salt using addition
m += s;
m &= 0xFFFFFFFFL;
// Modular stage using Lemire's fast alternative to modulo reduction
return ((m * max_val) >>> 32) & 0xFFFFFFFFL;
}
public static void main(String[] args) {
long command = 42;
long[][] program = {{0,2}}; // Example program
long bits = 64;
long result = inference(command, bits, program);
System.out.println(Long.toUnsignedString(result));
}
}
Julia
function hash(n, s, max_val)
# Mixing stage, mix input with salt using subtraction
m = (n - s) & 0xFFFFFFFF
# Hashing stage, use xor shift with prime coefficients
m ⊻= (m << 2) & 0xFFFFFFFF
m ⊻= (m << 3) & 0xFFFFFFFF
m ⊻= (m >> 5) & 0xFFFFFFFF
m ⊻= (m >> 7) & 0xFFFFFFFF
m ⊻= (m << 11) & 0xFFFFFFFF
m ⊻= (m << 13) & 0xFFFFFFFF
m ⊻= (m >> 17) & 0xFFFFFFFF
m ⊻= (m << 19) & 0xFFFFFFFF
# Mixing stage 2, mix input with salt using addition
m += s
m &= 0xFFFFFFFF
# Modular stage using Lemire's fast alternative to modulo reduction
return ((m * max_val) >> 32) & 0xFFFFFFFF
end
function inference(command, bits, program)
out = UInt(0)
# Check if the program is empty
length(program) == 0 && return out
# Iterate over the bits
for j in 0:bits-1
input_val = command | (j << 16)
ss, maxx = program[begin]
input_val = hash(input_val, ss, maxx)
for i in firstindex(program)+1:lastindex(program)
s, max_val = program[i]
maxx -= max_val
input_val = hash(input_val, s, maxx)
end
if isodd(input_val)
out |= 1 << j
end
end
return out
end
println(inference(42, 64, [[0, 2]]))
for i in 0x0:0xff
println(i, " ", inference(i, 4, [
[8776, 79884], [12638, 1259], [9953, 1242], [4658, 1228], [5197, 1210], [12043, 1201],
[6892, 1183], [7096, 1168], [10924, 1149], [5551, 1136], [5580, 1123], [3735, 1107],
[3652, 1091], [12191, 1076], [14214, 1062], [13056, 1045], [14816, 1031], [15205, 1017],
[10736, 1001], [9804, 989], [13081, 974], [6706, 960], [13698, 944], [14369, 928],
[16806, 917], [9599, 906], [9395, 897], [4885, 883], [10237, 870], [10676, 858],
[18518, 845], [2619, 833], [13715, 822], [11065, 810], [9590, 799], [5747, 785],
[2627, 776], [8962, 764], [5575, 750], [3448, 738], [5731, 725], [9434, 714],
[3163, 703], [3307, 690], [3248, 678], [3259, 667], [3425, 657], [3506, 648],
[3270, 639], [3634, 627], [3077, 617], [3511, 606], [27159, 597], [27770, 589],
[28496, 580], [28481, 571], [29358, 562], [31027, 552], [30240, 543], [30643, 534],
[31351, 527], [31993, 519], [32853, 510], [33078, 502], [33688, 495], [29732, 487],
[29898, 480], [29878, 474], [26046, 468], [26549, 461], [28792, 453], [26101, 446],
[32971, 439], [29704, 432], [23193, 426], [29509, 421], [27079, 415], [32453, 409],
[24737, 404], [25725, 400], [23755, 395], [52538, 393], [53242, 386], [19609, 380],
[26492, 377], [24566, 358], [31163, 368], [57174, 363], [26639, 364], [31365, 357],
[60918, 350], [21235, 338], [28072, 322], [28811, 314], [27571, 320], [17635, 309],
[51968, 169], [54367, 323], [60541, 254], [26732, 270], [52457, 157], [27181, 276],
[19874, 227], [22797, 320], [59346, 271], [25496, 260], [54265, 231], [22281, 250],
[42977, 318], [26008, 240], [87604, 142], [94647, 314], [52292, 157], [20999, 216],
[89253, 316], [22746, 29], [68338, 312], [22557, 317], [110904, 104], [70975, 285],
[51835, 277], [51871, 313], [132221, 228], [18522, 290], [68512, 285], [118816, 302],
[150865, 268], [68871, 273], [68139, 290], [84984, 285], [150693, 266], [396047, 272],
[84923, 269], [215562, 258], [68015, 248], [247689, 235], [214471, 229], [264395, 221],
[263287, 212], [280193, 201], [108065, 194], [263616, 187], [148609, 176], [263143, 173],
[378205, 162], [312547, 154], [50400, 147], [328927, 140], [279217, 132], [181111, 127],
[672098, 118], [657196, 113], [459383, 111], [833281, 105], [520281, 102], [755397, 95],
[787994, 91], [492444, 82], [1016592, 77], [656147, 71], [819893, 66], [165531, 61],
[886503, 57], [1016551, 54], [3547827, 49], [14398170, 43], [395900, 41], [4950628, 37],
[11481175, 33], [100014881, 30], [8955328, 31], [11313984, 27], [13640855, 23],
[528553762, 21], [63483027, 17], [952477, 8], [950580, 4], [918378, 2], [918471, 1],
]))
end
- Output:
Same as Go example.
Phix
This sort of thing is generally quite painful in Phix, since it will insist on things like zero minus one being -1 rather than some huge positive number... you certainly have to take some care it always uses unsigned masking, especially since Phix doesn't really have any such thing as unsigned ints.
requires(64)
constant U32 = #FFFFFFFF
function hashtron(integer n, s, mx)
// Mixing stage, mix input with salt using subtraction
atom m = (n-s) && U32
// Hashing stage, use xor shift with prime coefficients
for p in {-2,-3,+5,+7,-11,-13,+17,-19} do
m = xor_bitsu(m,shift_bits(m,p) && U32)
end for
// Mixing stage 2, mix input with salt using addition
m = m+s && U32
// Modular stage using Lemire's fast alternative to modulo reduction
return (m * mx) >> 32
end function
function inference(integer cmd, bits, sequence program)
atom out = 0
if length(program) then
for j=0 to bits-1 do
integer {ss, maxx} = program[1],
input = hashtron(cmd||(j<<16), ss, maxx)
for p in program from 2 do
maxx -= p[2]
input = hashtron(input, p[1], maxx)
end for
if odd(input) then
out = or_bitsu(out,1<<j)
end if
end for
end if
return out
end function
constant program = {
{8776,79884}, {12638,1259}, {9953,1242}, {4658,1228}, {5197,1210}, {12043,1201},
{6892,1183}, {7096,1168}, {10924,1149}, {5551,1136}, {5580,1123}, {3735,1107},
{3652,1091}, {12191,1076}, {14214,1062}, {13056,1045}, {14816,1031}, {15205,1017},
{10736,1001}, {9804,989}, {13081,974}, {6706,960}, {13698,944}, {14369,928},
{16806,917}, {9599,906}, {9395,897}, {4885,883}, {10237,870}, {10676,858},
{18518,845}, {2619,833}, {13715,822}, {11065,810}, {9590,799}, {5747,785},
{2627,776}, {8962,764}, {5575,750}, {3448,738}, {5731,725}, {9434,714},
{3163,703}, {3307,690}, {3248,678}, {3259,667}, {3425,657}, {3506,648},
{3270,639}, {3634,627}, {3077,617}, {3511,606}, {27159,597}, {27770,589},
{28496,580}, {28481,571}, {29358,562}, {31027,552}, {30240,543}, {30643,534},
{31351,527}, {31993,519}, {32853,510}, {33078,502}, {33688,495}, {29732,487},
{29898,480}, {29878,474}, {26046,468}, {26549,461}, {28792,453}, {26101,446},
{32971,439}, {29704,432}, {23193,426}, {29509,421}, {27079,415}, {32453,409},
{24737,404}, {25725,400}, {23755,395}, {52538,393}, {53242,386}, {19609,380},
{26492,377}, {24566,358}, {31163,368}, {57174,363}, {26639,364}, {31365,357},
{60918,350}, {21235,338}, {28072,322}, {28811,314}, {27571,320}, {17635,309},
{51968,169}, {54367,323}, {60541,254}, {26732,270}, {52457,157}, {27181,276},
{19874,227}, {22797,320}, {59346,271}, {25496,260}, {54265,231}, {22281,250},
{42977,318}, {26008,240}, {87604,142}, {94647,314}, {52292,157}, {20999,216},
{89253,316}, {22746,29}, {68338,312}, {22557,317}, {110904,104}, {70975,285},
{51835,277}, {51871,313}, {132221,228}, {18522,290}, {68512,285}, {118816,302},
{150865,268}, {68871,273}, {68139,290}, {84984,285}, {150693,266}, {396047,272},
{84923,269}, {215562,258}, {68015,248}, {247689,235}, {214471,229}, {264395,221},
{263287,212}, {280193,201}, {108065,194}, {263616,187}, {148609,176}, {263143,173},
{378205,162}, {312547,154}, {50400,147}, {328927,140}, {279217,132}, {181111,127},
{672098,118}, {657196,113}, {459383,111}, {833281,105}, {520281,102}, {755397,95},
{787994,91}, {492444,82}, {1016592,77}, {656147,71}, {819893,66}, {165531,61},
{886503,57}, {1016551,54}, {3547827,49}, {14398170,43}, {395900,41}, {4950628,37},
{11481175,33}, {100014881,30}, {8955328,31}, {11313984,27}, {13640855,23},
{528553762,21}, {63483027,17}, {952477,8}, {950580,4}, {918378,2}, {918471,1}
}
printf(1,"Test demo:\n")
printf(1,"%d\n\n",inference(42, 64, {{0, 2}}))
sequence res = apply(true,inference,{tagset(255,0),4,{program}})
res = join_by(res,1,16," ",fmt:="%2d")
printf(1,"Square root demo for commands in [0, 255]:\n%s",res)
- Output:
Test demo: 14106184687260844995 Square root demo for commands in [0, 255]: 0 1 1 1 2 2 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15
PHP
// define hashtron hash
$hash = function($n, $s, $max) {
// Ensure the inputs are treated as unsigned 32-bit integers
$n = $n & 0xFFFFFFFF;
$s = $s & 0xFFFFFFFF;
$max = $max & 0xFFFFFFFF;
// Mixing stage, mix input with salt using subtraction
$m = ($n - $s) & 0xFFFFFFFF;
// Hashing stage, use xor shift with prime coefficients
$m ^= ($m << 2) & 0xFFFFFFFF;
$m ^= ($m << 3) & 0xFFFFFFFF;
$m ^= ($m >> 5) & 0xFFFFFFFF;
$m ^= ($m >> 7) & 0xFFFFFFFF;
$m ^= ($m << 11) & 0xFFFFFFFF;
$m ^= ($m << 13) & 0xFFFFFFFF;
$m ^= ($m >> 17) & 0xFFFFFFFF;
$m ^= ($m << 19) & 0xFFFFFFFF;
// Mixing stage 2, mix input with salt using addition
$m = ($m + $s) & 0xFFFFFFFF;
// Modular stage using multiply-shift trick
// Cast to 64-bit integer for multiplication
$result = ((($m & 0xFFFFFFFF) * ($max & 0xFFFFFFFF)) >> 32) & 0xFFFFFFFF;
return $result;
};
// define hashtron inference
$infer = function($command, $bits, $program) {
global $hash;
$out = 0;
$programLength = count($program);
if ($programLength == 0) {
return $out;
}
for ($j = 0; $j < $bits; $j++) {
$input = ($command & 0xFFFFFFFF) | (($j & 0xFF) << 16);
$ss = $program[0][0];
$maxx = $program[0][1];
$input = $hash($input, $ss, $maxx);
for ($i = 1; $i < $programLength; $i++) {
$s = $program[$i][0];
$max = $program[$i][1];
$maxx -= $max;
$input = $hash($input, $s, $maxx);
}
$input &= 1;
if ($input != 0) {
$out |= 1 << $j;
}
}
return $out;
};
Python
def hash(n, s, max_val):
# Mixing stage, mix input with salt using subtraction
m = (n - s) & 0xFFFFFFFF
# Hashing stage, use xor shift with prime coefficients
m ^= (m << 2) & 0xFFFFFFFF
m ^= (m << 3) & 0xFFFFFFFF
m ^= (m >> 5) & 0xFFFFFFFF
m ^= (m >> 7) & 0xFFFFFFFF
m ^= (m << 11) & 0xFFFFFFFF
m ^= (m << 13) & 0xFFFFFFFF
m ^= (m >> 17) & 0xFFFFFFFF
m ^= (m << 19) & 0xFFFFFFFF
# Mixing stage 2, mix input with salt using addition
m += s
m &= 0xFFFFFFFF
# Modular stage using Lemire's fast alternative to modulo reduction
return ((m * max_val) >> 32) & 0xFFFFFFFF
def inference(command, bits, program):
out = 0
# Check if the program is empty
if len(program) == 0:
return out
# Iterate over the bits
for j in range(bits):
input_val = command | (j << 16)
ss, maxx = program[0]
input_val = hash(input_val, ss, maxx)
for i in range(1, len(program)):
s, max_val = program[i]
maxx -= max_val
input_val = hash(input_val, s, maxx)
input_val &= 1
if input_val != 0:
out |= 1 << j
return out
print(inference(42,64,[[0,2]]))
Wren
import "./long" for ULong
import "./fmt" for Fmt
var hash = Fn.new { |n, s, max|
// 32 bit mask
var k = 0xFFFFFFFF
// Mixing stage, mix input with salt using subtraction
var m = (n - s) & k
// Hashing stage, use xor shift with prime coefficients
m = m ^ ((m << 2) & k)
m = m ^ ((m << 3) & k)
m = m ^ ((m >> 5) & k)
m = m ^ ((m >> 7) & k)
m = m ^ ((m << 11) & k)
m = m ^ ((m << 13) & k)
m = m ^ ((m >> 17) & k)
m = m ^ ((m << 19) & k)
// Mixing stage 2, mix input with salt using addition
m = (m + s) & k
// Modular stage using Lemire's fast alternative to modulo reduction
return ((ULong.new(m) * ULong.new(max)) >> 32).toSmall & k
}
var inference = Fn.new { |command, bits, program|
var out = ULong.zero
// Check if the program is empty
if (program.count == 0) return out
// Iterate over the bits
for (j in 0...bits) {
var input = command | (j << 16)
var ss = program[0][0]
var maxx = program [0][1]
input = hash.call(input, ss, maxx)
for (i in 1...program.count) {
var s = program[i][0]
var max = program[i][1]
maxx = maxx - max
input = hash.call(input, s, maxx)
}
input = input & 1
if (input != 0) out = out | (ULong.one << j)
}
return out
}
System.print("Test demo:")
var program = [[0, 2]]
System.print(inference.call(42, 64, program))
program = [
[8776,79884], [12638,1259], [9953,1242], [4658,1228], [5197,1210], [12043,1201],
[6892,1183], [7096,1168], [10924,1149], [5551,1136], [5580,1123], [3735,1107],
[3652,1091], [12191,1076], [14214,1062], [13056,1045], [14816,1031], [15205,1017],
[10736,1001], [9804,989], [13081,974], [6706,960], [13698,944], [14369,928],
[16806,917], [9599,906], [9395,897], [4885,883], [10237,870], [10676,858],
[18518,845], [2619,833], [13715,822], [11065,810], [9590,799], [5747,785],
[2627,776], [8962,764], [5575,750], [3448,738], [5731,725], [9434,714],
[3163,703], [3307,690], [3248,678], [3259,667], [3425,657], [3506,648],
[3270,639], [3634,627], [3077,617], [3511,606], [27159,597], [27770,589],
[28496,580], [28481,571], [29358,562], [31027,552], [30240,543], [30643,534],
[31351,527], [31993,519], [32853,510], [33078,502], [33688,495], [29732,487],
[29898,480], [29878,474], [26046,468], [26549,461], [28792,453], [26101,446],
[32971,439], [29704,432], [23193,426], [29509,421], [27079,415], [32453,409],
[24737,404], [25725,400], [23755,395], [52538,393], [53242,386], [19609,380],
[26492,377], [24566,358], [31163,368], [57174,363], [26639,364], [31365,357],
[60918,350], [21235,338], [28072,322], [28811,314], [27571,320], [17635,309],
[51968,169], [54367,323], [60541,254], [26732,270], [52457,157], [27181,276],
[19874,227], [22797,320], [59346,271], [25496,260], [54265,231], [22281,250],
[42977,318], [26008,240], [87604,142], [94647,314], [52292,157], [20999,216],
[89253,316], [22746,29], [68338,312], [22557,317], [110904,104], [70975,285],
[51835,277], [51871,313], [132221,228], [18522,290], [68512,285], [118816,302],
[150865,268], [68871,273], [68139,290], [84984,285], [150693,266], [396047,272],
[84923,269], [215562,258], [68015,248], [247689,235], [214471,229], [264395,221],
[263287,212], [280193,201], [108065,194], [263616,187], [148609,176], [263143,173],
[378205,162], [312547,154], [50400,147], [328927,140], [279217,132], [181111,127],
[672098,118], [657196,113], [459383,111], [833281,105], [520281,102], [755397,95],
[787994,91], [492444,82], [1016592,77], [656147,71], [819893,66], [165531,61],
[886503,57], [1016551,54], [3547827,49], [14398170,43], [395900,41], [4950628,37],
[11481175,33], [100014881,30], [8955328,31], [11313984,27], [13640855,23],
[528553762,21], [63483027,17], [952477,8], [950580,4], [918378,2], [918471,1]
]
System.print("\nSquare root demo for commands in [0, 255]:")
Fmt.tprint("$2i", (0..255).map { |i| inference.call(i, 4, program) }, 16)
- Output:
Test demo: 14106184687260844995 Square root demo for commands in [0, 255]: 0 1 1 1 2 2 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15