diff options
Diffstat (limited to 'cube.h')
| -rw-r--r-- | cube.h | 177 |
1 files changed, 159 insertions, 18 deletions
| @@ -1,36 +1,177 @@ | |||
| 1 | /****************************************************************************** | ||
| 2 | Cube type definition | ||
| 3 | |||
| 4 | Each piece is represented by an (unsigned) 8-bit integer. The 4 | ||
| 5 | least-significant bits determine which piece it is, the other 4 determine | ||
| 6 | the orientation. | ||
| 7 | |||
| 8 | Edges are numbered as follows (see also cube.c): | ||
| 9 | UF=0 UB=1 DB=2 DF=3 UR=4 UL=5 DL=6 DR=7 FR=8 FL=9 BL=10 BR=11 | ||
| 10 | |||
| 11 | Corners are numbered as follows: | ||
| 12 | UFR=0 UBL=1 DFL=2 DBR=3 UFL=4 UBR=5 DFR=6 DBL=7 | ||
| 13 | |||
| 14 | The orientation of the edges is with respect to F/B, the orientation of | ||
| 15 | corners is with respect to U/D. | ||
| 16 | |||
| 17 | The permutation of the center pieces is not stored. This means that the | ||
| 18 | cube is assumed to be in a fixed orientation. | ||
| 19 | |||
| 20 | TODO: encode centers? | ||
| 21 | |||
| 22 | The exact cube type structure depends on your system's configuration. If | ||
| 23 | you operate on the cube only via the functions provided below, you don't | ||
| 24 | need to worry about this. | ||
| 25 | ******************************************************************************/ | ||
| 26 | |||
| 1 | #ifdef CUBE_AVX2 | 27 | #ifdef CUBE_AVX2 |
| 2 | typedef __m256i cube_t; | 28 | typedef __m256i cube_t; |
| 3 | #else | 29 | #else |
| 4 | typedef struct { | 30 | typedef struct { |
| 5 | uint8_t c[8]; | 31 | uint8_t c[8]; /* Corners */ |
| 6 | uint8_t e[12]; | 32 | uint8_t e[12]; /* Edges */ |
| 7 | } cube_t; | 33 | } cube_t; |
| 8 | #endif | 34 | #endif |
| 9 | 35 | ||
| 10 | typedef uint8_t move_t; | 36 | /* Returns a copy of the solved cube */ |
| 11 | typedef uint8_t trans_t; | ||
| 12 | |||
| 13 | int readmoves(char *, move_t *); | ||
| 14 | void writemoves(move_t *, int, char *); | ||
| 15 | trans_t readtrans(char *); | ||
| 16 | void writetrans(trans_t, char *); | ||
| 17 | |||
| 18 | typedef enum {AVX, H48, SRC} format_t; | ||
| 19 | cube_t readcube(format_t, char *); /* Supports: H48 */ | ||
| 20 | void writecube(format_t, cube_t, char *); /* Supports: AVX, H48, SRC */ | ||
| 21 | |||
| 22 | cube_t solvedcube(void); | 37 | cube_t solvedcube(void); |
| 38 | |||
| 39 | /* Basic checks on the cube */ | ||
| 23 | bool issolvable(cube_t); | 40 | bool issolvable(cube_t); |
| 24 | bool equal(cube_t, cube_t); | 41 | bool equal(cube_t, cube_t); |
| 25 | bool issolved(cube_t); | 42 | bool issolved(cube_t); |
| 43 | |||
| 44 | /* Apply the second cube on the first as a move sequence */ | ||
| 45 | cube_t compose(cube_t, cube_t); | ||
| 46 | |||
| 47 | /* Invert the cube */ | ||
| 48 | cube_t inverse(cube_t); | ||
| 49 | |||
| 50 | /* All functions can return an error value, use iserror() to check this */ | ||
| 26 | bool iserror(cube_t); | 51 | bool iserror(cube_t); |
| 27 | 52 | ||
| 53 | /****************************************************************************** | ||
| 54 | Moves and transformations | ||
| 55 | |||
| 56 | Moves and transformations are represented each as an (unsigned) 8 bit integer. | ||
| 57 | |||
| 58 | Moves are numbered as follows: | ||
| 59 | U=0 U2=1 U'=2 D=3 D2=4 D'=5 | ||
| 60 | R=6 R2=7 R'=8 L=9 L2=10 L'=11 | ||
| 61 | F=12 F2=13 F'=14 B=15 B2=16 B'=17 | ||
| 62 | |||
| 63 | TODO: NISS | ||
| 64 | |||
| 65 | TODO: Extend the moveset? | ||
| 66 | |||
| 67 | Transformations can be either simple rotations or a rotation composed | ||
| 68 | with a mirroring. A composed rotation + mirror is obtained by applying | ||
| 69 | the corresponding rotation to the solved cube mirrored along the M plane. | ||
| 70 | |||
| 71 | For example, to apply the transformation RBm (mirrored RB) to a cube C: | ||
| 72 | 1. Apply a mirror along the M plane to the solved cube | ||
| 73 | 2. Rotate the mirrored cube with z' y2 | ||
| 74 | 3. Apply the cube C to the transformed solved cube | ||
| 75 | 4. Apply the transformations of step 1a and 1b in reverse | ||
| 76 | |||
| 77 | See cube.c for a full list of transformations. | ||
| 78 | ******************************************************************************/ | ||
| 79 | |||
| 80 | typedef uint8_t move_t; | ||
| 81 | typedef uint8_t trans_t; | ||
| 82 | |||
| 83 | /* Apply a move or a transformation on the cube */ | ||
| 28 | cube_t move(cube_t, move_t); | 84 | cube_t move(cube_t, move_t); |
| 29 | cube_t inverse(cube_t); | ||
| 30 | cube_t compose(cube_t, cube_t); | ||
| 31 | cube_t transform(cube_t, trans_t); | 85 | cube_t transform(cube_t, trans_t); |
| 32 | 86 | ||
| 33 | int16_t coord_eo(cube_t); | 87 | /****************************************************************************** |
| 88 | Read / write utilities | ||
| 89 | |||
| 90 | Reading and writing is not done directly via stdin / stdout, but via an | ||
| 91 | array of char (called buf in the prototypes below). | ||
| 92 | |||
| 93 | Multiple representations of the cube as text are supported, although | ||
| 94 | not all of them are supported for both reading and writing. See below | ||
| 95 | for details. More formats may be supported in the future. | ||
| 96 | |||
| 97 | Moves are read using the standard notation. Each move (U, D, R, L, F, | ||
| 98 | B) can be followed by a modifier (1, 2, 3, '). Whitespace (spaces, tabs, | ||
| 99 | newlines) are ignored. Parantheses and other notation is not supported. | ||
| 100 | TODO: parantheses for NISS | ||
| 101 | |||
| 102 | For how transformations are read or written, see cube.c. | ||
| 103 | ******************************************************************************/ | ||
| 104 | |||
| 105 | /* The different formats for reading or writing the cube */ | ||
| 106 | typedef enum { | ||
| 107 | H48, /* H48 is a human-readable format. | ||
| 108 | * | ||
| 109 | * Each edge is represented by two letters denoting the sides it | ||
| 110 | * belongs to and one number denoting its orientation (0 oriented, | ||
| 111 | * 1 mis-oriented). Similarly, each corner is represented by three | ||
| 112 | * letters and a number (0 oriented, 1 twisted clockwise, 2 | ||
| 113 | * twisted counter-clockwise). | ||
| 114 | * | ||
| 115 | * The solved cube looks like this: | ||
| 116 | * | ||
| 117 | * UF0 UB0 DB0 DF0 UR0 UL0 DL0 DR0 FR0 FL0 BL0 BR0 | ||
| 118 | * UFR0 UBL0 DFL0 DBR0 UFL0 UBR0 DFR0 DBL0 | ||
| 119 | * | ||
| 120 | * The cube after the moves R'U'F looks like this: | ||
| 121 | * | ||
| 122 | * FL1 BR0 DB0 UR1 UF0 UB0 DL0 FR0 UL1 DF1 BL0 DR0 | ||
| 123 | * UBL1 DBR1 UFR2 DFR2 DFL2 UBL2 UFL2 DBL0 | ||
| 124 | * | ||
| 125 | * Whitespace (including newlines) between pieces is ignored when | ||
| 126 | * reading the cube. A single whitespace character is added | ||
| 127 | * between pieces when writing. | ||
| 128 | */ | ||
| 129 | SRC, /* The SRC format can be used to generate code for internal use. | ||
| 130 | * | ||
| 131 | * In cube.c, a type called cube_array_t is defined and used for | ||
| 132 | * basic, non-performance-critical methods. If OUT is the output | ||
| 133 | * in SRC format, the following line can be used to declare a new | ||
| 134 | * cube object: | ||
| 135 | * | ||
| 136 | * cube_array_t cube = OUT | ||
| 137 | */ | ||
| 138 | AVX, /* The AVX format is analogous to SRC, but for the AVX2 internal | ||
| 139 | * representation of the cube. | ||
| 140 | */ | ||
| 141 | } format_t; | ||
| 142 | |||
| 143 | /* Reads a cube from buf in the specified format, and return it. | ||
| 144 | * Supported formats: H48. | ||
| 145 | */ | ||
| 146 | cube_t readcube(format_t format, char *buf); | ||
| 147 | |||
| 148 | /* Write the given cube to buf in the specified format. | ||
| 149 | * Supported formats: H48, SRC, AVX. | ||
| 150 | */ | ||
| 151 | void writecube(format_t format, cube_t cube, char *buf); | ||
| 152 | |||
| 153 | /* Utilities for reading and writing moves */ | ||
| 154 | int readmoves(char *buf, move_t *moves); | ||
| 155 | void writemoves(move_t *moves, int n, char *buf); | ||
| 156 | trans_t readtrans(char *buf); | ||
| 157 | void writetrans(trans_t trans, char *buf); | ||
| 158 | |||
| 159 | /****************************************************************************** | ||
| 160 | Coordinates | ||
| 161 | |||
| 162 | The coordinate functions compute one aspect of the cube (for example, | ||
| 163 | the edge orientation) and they return it as an integer. They are used | ||
| 164 | for example to build pruning tables for various solving methods. | ||
| 165 | ******************************************************************************/ | ||
| 166 | |||
| 167 | int16_t coord_eo(cube_t); /* Edge orientation */ | ||
| 168 | |||
| 169 | /****************************************************************************** | ||
| 170 | Solvers | ||
| 171 | |||
| 172 | Solvers return -1 in case of error, the number of solutions otherwise | ||
| 173 | |||
| 174 | TODO | ||
| 175 | ******************************************************************************/ | ||
| 34 | 176 | ||
| 35 | /* Solvers return -1 in case of error, the number of solutions otherwise */ | ||
| 36 | int solve_generic(cube_t, int (*)(cube_t), uint8_t, int, move_t *); | 177 | int solve_generic(cube_t, int (*)(cube_t), uint8_t, int, move_t *); |
