Malbolge ( / m æ l ˈ b oʊ l dʒ / ) is a public domain esoteric programming language invented by Ben Olmstead in 1998, named after the eighth circle of hell in Dante 's Inferno , the Malebolge . It was specifically designed to be almost impossible to use, via a counter-intuitive 'crazy operation', base-three arithmetic, and self-altering code. It builds on the difficulty of earlier challenging esoteric languages (such as Brainfuck and Befunge ), but exaggerates this aspect to an extreme degree, playing on the entangled histories of computer science and encryption . Despite this design, it is possible to write useful Malbolge programs.
26-503: Malbolge was very difficult to understand when it arrived, taking two years for the first Malbolge program to appear. The author himself has never written a Malbolge program. The first program was not written by a human being; it was generated by a beam search algorithm designed by Andrew Cooke and implemented in Lisp . Later, Lou Scheffer posted a cryptanalysis of Malbolge and provided a program to copy its input to its output. He also saved
52-412: A bug in the compiler, Ben Olmstead stated that it was intended and there was in fact "a bug in the specification". Malbolge has three registers , a , c , and d . When a program starts, the value of all three registers is zero. a stands for 'accumulator', set to the value written by all write operations on memory and used for standard I/O . c , the code pointer, is special: it points to
78-411: A common solution is to choose the next β {\displaystyle \beta } states in a random way, with a probability dependent from the heuristic evaluation of the states. This kind of search is called stochastic beam search . Other variants are flexible beam search and recovery beam search . Opcode In computing , an opcode (abbreviated from operation code )
104-560: A less uniform, variable-length structure. Instruction sets can be extended through the use of opcode prefixes which add a subset of new instructions made up of existing opcodes following reserved byte sequences. Opcodes can be found in so-called byte codes and other representations intended for a software interpreter rather than a hardware device. These software-based instruction sets often employ slightly higher-level data types and operations than most hardware counterparts, but are nevertheless constructed along similar lines. Examples include
130-433: A limited set. Beam search is a modification of best-first search that reduces its memory requirements. Best-first search is a graph search which orders all partial solutions (states) according to some heuristic. But in beam search, only a predetermined number of best partial solutions are kept as candidates. It is thus a greedy algorithm . Beam search uses breadth-first search to build its search tree . At each level of
156-507: A string from a user and prints that string, similar to the Unix command-line utility cat . Malbolge is machine language for a ternary virtual machine , the Malbolge interpreter . The standard interpreter and the official specification do not match perfectly. One difference is that the compiler stops execution with data outside the 33–126 range. Although this was initially considered
182-408: A value from 0 to 59048. Incrementing past this limit wraps back to zero. The language uses the same memory space for both data and instructions . This was influenced by how hardware such as x86 architecture worked. Before a Malbolge program starts, the first part of memory is filled with the program. All whitespace in the program is ignored and, to make programming more difficult, everything else in
208-399: A version of Malbolge which does not have the arbitrary memory limit. The hope was to create a Turing-complete language while keeping as much in the spirit of Malbolge as possible. No other rules are changed, and all Malbolge programs that do not reach the memory limit are still completely functional. Malbolge has eight instructions . Malbolge figures out which instruction to execute by taking
234-425: Is enciphered with one of the following two equivalent methods . Lou Scheffer's cryptanalysis of Malbolge mentions six different cycles in the permutation . They are listed here: These cycles can be used to create loops that do different things each time and that eventually become repetitive. Lou Scheffer used this idea to create a Malbolge program (included in his cryptanalysis linked below) that repeats anything
260-459: Is an enumerated value that specifies the operation to be performed. Opcodes are employed in hardware devices such as arithmetic logic units (ALUs) and central processing units (CPUs) as well as in some software instruction sets. In ALUs the opcode is directly applied to circuitry via an input signal bus, whereas in CPUs, the opcode is the portion of a machine language instruction that specifies
286-419: Is identical to best-first search . Conversely, a beam width of 1 corresponds to a hill-climbing algorithm. The beam width bounds the memory required to perform the search. Since a goal state could potentially be pruned, beam search sacrifices completeness (the guarantee that an algorithm will terminate with a solution, if one exists). Beam search is not optimal (that is, there is no guarantee that it will find
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#1732801100615312-451: The best solution). A beam search is most often used to maintain tractability in large systems with insufficient amount of memory to store the entire search tree. For example, it has been used in many machine translation systems. (The state of the art now primarily uses neural machine translation based methods, especially large language models ) To select the best translation, each part is processed, and many different ways of translating
338-462: The context of a local search , we call local beam search a specific algorithm that begins selecting β {\displaystyle \beta } randomly generated states and then, for each level of the search tree, it always considers β {\displaystyle \beta } new states among all the possible successors of the current ones, until it reaches a goal. Since local beam search often ends up on local maxima,
364-472: The current instruction . d is the data pointer. It is automatically incremented after each instruction, but the location it points to is used for the data manipulation commands. d can hold a memory address; [d] is register indirect ; the value stored at that address. [c] is similar. The virtual machine has 59,049 (3) memory locations that can each hold a ten-trit ternary number . Each memory location has an address from 0 to 59048 and can hold
390-427: The official specification does not cover the edge case of 1-instruction programs, where trying to fill the second memory position using the crazy operation, as indicated before, will result in [m - 2] pointing outside the program's memory region. The reference implementation does not explicitly consider this case either and incurs in undefined behavior . In 2007, Ørjan Johansen created Malbolge Unshackled,
416-612: The opcodes are defined by the processor's instruction set architecture (ISA), and can be described by means of an opcode table . The types of operations may include arithmetic , data copying, logical operations , and program control, as well as special instructions (e.g., CPUID ). In addition to the opcode, many instructions also specify the data (known as operands ) the operation will act upon, although some instructions may have implicit operands or none at all. Some instruction sets have nearly uniform fields for opcode and operand specifiers, whereas others (e.g., x86 architecture) have
442-399: The operation to be performed. Opcodes are found in the machine language instructions of CPUs as well as in some abstract computing machines . In CPUs, an opcode may be referred to as instruction machine code , instruction code , instruction syllable , instruction parcel or opstring . For any particular processor (which may be a general CPU or a more specialized processing unit),
468-407: The original interpreter and specification after the original site stopped functioning, and offered a general strategy of writing programs in Malbolge as well as some thoughts on its Turing completeness . Olmstead believed Malbolge to be a linear bounded automaton . There's a discussion about whether one can implement sensible loops in Malbolge —it took many years before the first non-terminating one
494-448: The program must start out as one of the instructions below. The rest of memory is filled by using the crazy operation (see below) on the previous two addresses ( [m] = crz [m - 2], [m - 1] ). Memory filled this way will repeat every twelve addresses (the individual ternary digits will repeat every three or four addresses, so a group of ternary digits is guaranteed to repeat every twelve). Note that
520-449: The tree, it generates all successors of the states at the current level, sorting them in increasing order of heuristic cost. However, it only stores a predetermined number, β {\displaystyle \beta } , of best states at each level (called the beam width). Only those states are expanded next. The greater the beam width, the fewer states are pruned. With an infinite beam width, no states are pruned and beam search
546-405: The user inputs. Malbolge is not Turing-complete , due to its memory limits. However, it otherwise has sequential execution, repetition, and conditional-execution. Several attempts have been made to create Turing-complete versions of Malbolge: Beam search In computer science , beam search is a heuristic search algorithm that explores a graph by expanding the most promising node in
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#1732801100615572-405: The value [c] , adding the value of c to it, and taking the remainder when this is divided by 94. The final result tells the interpreter what to do: After each instruction is executed, it gets encrypted (see below) so that it will not do the same thing next time, unless a jump just happened. Right after a jump, Malbolge will encrypt the instruction just prior to the one it jumped to instead. Then,
598-406: The values of both c and d are increased by one and the next instruction is executed. For each ternary digit of both inputs, use the following table to get a ternary digit of the result. For example, crz 0001112220, 0120120120 gives 1120020211. After an instruction is executed, the value at [c] (without anything added to it) will be replaced with itself mod 94. Then, the result
624-410: The words appear. The top best translations according to their sentence structures are kept, and the rest are discarded. The translator then evaluates the translations according to a given criterion, choosing the translation which best keeps the goals. The Harpy Speech Recognition System (introduced in a 1976 dissertation ) was the first use of what would become known as beam search. While the procedure
650-541: Was introduced. A correct 99 Bottles of Beer program , which deals with non-trivial loops and conditions, was not announced for seven years; the first correct one was by Hisashi Iizawa in 2005. Hisashi Iizawa et al. also proposed a guide for programming in Malbolge for the purpose of obfuscation for software protection. In 2020, Kamila Szewczyk published a Lisp interpreter in Malbolge Unshackled. This program displays " Hello, World. " This program reads
676-607: Was originally referred to as the "locus model of search", the term "beam search" was already in use by 1977. Beam search has been made complete by combining it with depth-first search , resulting in beam stack search and depth-first beam search , and with limited discrepancy search, resulting in beam search using limited discrepancy backtracking (BULB). The resulting search algorithms are anytime algorithms that find good but likely sub-optimal solutions quickly, like beam search, then backtrack and continue to find improved solutions until convergence to an optimal solution. In
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