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/*
* Copyright (c) 2026 Christian Hansen <chansen@cpan.org>
* <https://github.com/chansen/c-utf8>
*
* Permission is hereby granted, free of charge, to any person obtaining a copy
* of this software and associated documentation files (the "Software"), to deal
* in the Software without restriction, including without limitation the rights
* to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
* copies of the Software, and to permit persons to whom the Software is
* furnished to do so, subject to the following conditions:
*
* The above copyright notice and this permission notice shall be included in all
* copies or substantial portions of the Software.
*
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
* AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
* OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
* SOFTWARE.
*/
/*
* utf8_rdfa64.h -- Shift-based DFA for Reversed UTF-8 validation and decoding
* =============================================================================
*
* Validation and decoding counterpart to utf8_rdfa32.h. If you only need
* validation, utf8_rdfa32.h uses uint32_t rows and has a smaller table (1 KB
* vs 2 KB).
*
* CONCEPT
* -------
*
* Scans UTF-8 bytes right-to-left. Feed bytes one at a time starting from
* S_ACCEPT, innermost continuation byte first, lead byte last. Each return
* to S_ACCEPT marks a complete valid sequence boundary. S_ERROR is an
* absorbing trap: once entered, no byte can leave it.
*
* Because the lead byte arrives last, the DFA must carry forward the range
* of the outermost continuation byte (adjacent to the lead) until the lead
* is seen and can validate it. Two things determine whether a lead byte is
* accepted:
*
* (1) How many continuation bytes have been accumulated (depth 1, 2, or 3)
* (2) The range of the outermost continuation byte, which narrows which
* lead bytes are valid to reject non-shortest forms, surrogates, and
* codepoints above U+10FFFF
*
*
* STATE DEFINITIONS
* -----------------
*
* State Value Meaning
* ------- ----- -----------------------------------------------------
* S_ERROR 0 Invalid byte seen (absorbing trap state)
* S_ACCEPT 18 Start state / valid sequence boundary
* S_TL1 6 Seen 1 continuation
* S_TL2LO 24 Seen 2 continuations; outermost in 80-9F (LOW)
* S_TL2HI 42 Seen 2 continuations; outermost in A0-BF (HIGH)
* S_TL3LO 12 Seen 3 continuations; outermost in 80-8F (LOW)
* S_TL3MH 30 Seen 3 continuations; outermost in 90-BF (MID-HIGH)
*
* State values are shift amounts, multiples of 6 except S_ERROR = 0.
* Each row packs 7 × 6-bit transition targets into 48 bits of a uint64_t.
*
* State values encode depth in bits 3:2, so the payload shift is:
*
* shift = ((state >> 2) & 3) * 6
*
* where depth 0 = S_ACCEPT/S_ERROR, depth 1 = TL1, depth 2 = TL2xx,
* depth 3 = TL3xx.
*
*
* TRANSITION TABLE
* ----------------
* Current State
*
* Input Byte ACCEPT TL1 TL2LO TL2HI TL3LO TL3MH
* --------- ------ ------ ------ ------ ------ ------
* 00..7F ACCEPT - - - - -
* 80..8F TL1 TL2LO TL3LO TL3LO - -
* 90..9F TL1 TL2LO TL3MH TL3MH - -
* A0..BF TL1 TL2HI TL3MH TL3MH - -
* C0..C1 - - - - - -
* C2..DF - ACCEPT - - - -
* E0 - - - ACCEPT - -
* E1..EC - - ACCEPT ACCEPT - -
* ED - - ACCEPT - - -
* EE..EF - - ACCEPT ACCEPT - -
* F0 - - - - - ACCEPT
* F1..F3 - - - - ACCEPT ACCEPT
* F4 - - - - ACCEPT -
* F5..FF - - - - - -
*
* Note: "-" means transition to S_ERROR (invalid in that context)
*
*
* STATE FLOW DIAGRAMS
* -------------------
*
* 1-byte (ASCII):
* ACCEPT ─[0x00–0x7F]─→ ACCEPT
*
* 2-byte (U+0080–U+07FF):
* ACCEPT ─[0x80–0xBF]─→ TL1 ─[0xC2–0xDF]─→ ACCEPT
*
* 3-byte (U+0800–U+FFFF, excluding surrogates U+D800–U+DFFF):
* ACCEPT ─[cont1]─→ TL1 ─[cont2]─→ TL2xx ─[lead]─→ ACCEPT
*
* Outermost continuation determines TL2 state, lead must match:
*
* [cont2] ────────→ [state] ──> [lead] ─────→ ACCEPT
* │ │ │
* ├── 0x80–0x9F ─→ TL2LO ───────┴─ 0xED, 0xE1–0xEC, 0xEE–0xEF
* └── 0xA0–0xBF ─→ TL2HI ───────┴─ 0xE0, 0xE1–0xEC, 0xEE–0xEF
*
* 4-byte (U+10000–U+10FFFF):
* ACCEPT ─[cont1]─→ TL1 ─[cont2]─→ TL2xx ─[cont3]─→ TL3xx ─[lead]─→ ACCEPT
*
* Outermost continuation determines TL3 state, lead must match:
*
* [cont3] ────────→ [state] ──> [lead] ─────→ ACCEPT
* │ │ │
* ├── 0x80–0x8F ─→ TL3LO ───────┴─ 0xF4, 0xF1–0xF3
* └── 0x90–0xBF ─→ TL3MH ───────┴─ 0xF0, 0xF1–0xF3
*
*
* UTF-8 ENCODING FORM
* -------------------
*
* U+0000..U+007F 0xxxxxxx
* U+0080..U+07FF 110xxxxx 10xxxxxx
* U+0800..U+FFFF 1110xxxx 10xxxxxx 10xxxxxx
* U+10000..U+10FFFF 11110xxx 10xxxxxx 10xxxxxx 10xxxxxx
*
*
* U+0000..U+007F 00..7F
* N C0..C1 80..BF 1100000x 10xxxxxx
* U+0080..U+07FF C2..DF 80..BF
* N E0 80..9F 80..BF 11100000 100xxxxx
* U+0800..U+0FFF E0 A0..BF 80..BF
* U+1000..U+CFFF E1..EC 80..BF 80..BF
* U+D000..U+D7FF ED 80..9F 80..BF
* S ED A0..BF 80..BF 11101101 101xxxxx
* U+E000..U+FFFF EE..EF 80..BF 80..BF
* N F0 80..8F 80..BF 80..BF 11110000 1000xxxx
* U+10000..U+3FFFF F0 90..BF 80..BF 80..BF
* U+40000..U+FFFFF F1..F3 80..BF 80..BF 80..BF
* U+100000..U+10FFFF F4 80..8F 80..BF 80..BF 11110100 1000xxxx
*
* Legend:
* N = Non-shortest form
* S = Surrogates
*
*
* ROW BIT LAYOUT
* --------------
*
* bits 0..47 DFA transition states (7 states x 6 bits each, gap at 36)
* bits 48..55 unused
* bits 56..62 payload mask (7 bits):
* 0x7F ASCII (0xxxxxxx -> 7 bits)
* 0x3F continuation (10xxxxxx -> 6 bits)
* 0x1F 2-byte lead (110xxxxx -> 5 bits)
* 0x0F 3-byte lead (1110xxxx -> 4 bits)
* 0x07 4-byte lead (11110xxx -> 3 bits)
* 0x00 invalid
* bit 63 unused
*
*
* PAYLOAD BIT ACCUMULATION
* ------------------------
*
* When decoding, payload bits are accumulated right-to-left:
*
* cp = cp | (byte & mask) << shift where shift = ((state >> 2) & 3) * 6
*
* On S_ACCEPT state, cp holds the complete decoded codepoint.
* On S_ERROR state, substitute U+FFFD or signal failure.
*
* The caller must set cp = 0 at the start of each new sequence, i.e.
* whenever the previous step returned S_ACCEPT or S_ERROR.
*
*
* PERFORMANCE
* -----------
*
* - 7 states total (minimal for well-formed reverse UTF-8 validation)
* - Table-driven: 256-entry uint64_t table (2 KB, fits in L1 cache)
* - Branchless step: (table[byte] >> state) & 63
* - Validates and decodes in a single branchless pass
*
*
* REFERENCES
* ----------
*
* - Unicode Standard §3.9: Unicode Encoding Forms
* <https://www.unicode.org/versions/latest/core-spec/chapter-3/#G31703>
*
*
* USAGE PATTERN
* -------------
*
* utf8_rdfa_state_t state = UTF8_RDFA_ACCEPT;
* uint32_t codepoint = 0;
* while (len > 0) {
* state = utf8_rdfa_step_decode(state, buffer[--len], &codepoint);
* if (state == UTF8_RDFA_REJECT) {
* // Invalid UTF-8 at position len
* break;
* }
* if (state == UTF8_RDFA_ACCEPT) {
* // Complete codepoint decoded
* process(codepoint);
* codepoint = 0;
* }
* }
*
*/
#ifndef UTF8_RDFA64_H
#define UTF8_RDFA64_H
#include <stddef.h>
#include <stdint.h>
#ifdef __cplusplus
extern "C" {
#endif
typedef uint64_t utf8_rdfa_state_t;
#define UTF8_RDFA_REJECT ((utf8_rdfa_state_t)0)
#define UTF8_RDFA_ACCEPT ((utf8_rdfa_state_t)18)
#define S_ERROR 0
#define S_ACCEPT 18
#define S_TL1 6
#define S_TL2LO 24
#define S_TL2HI 42
#define S_TL3LO 12
#define S_TL3MH 30
/* clang-format off */
#define DFA_ROW(accept,error,tl1,tl2lo,tl2hi,tl3lo,tl3mh,mask) \
( ((utf8_rdfa_state_t)(accept) << S_ACCEPT) \
| ((utf8_rdfa_state_t)(error) << S_ERROR) \
| ((utf8_rdfa_state_t)(tl1) << S_TL1) \
| ((utf8_rdfa_state_t)(tl2lo) << S_TL2LO) \
| ((utf8_rdfa_state_t)(tl2hi) << S_TL2HI) \
| ((utf8_rdfa_state_t)(tl3lo) << S_TL3LO) \
| ((utf8_rdfa_state_t)(tl3mh) << S_TL3MH) \
| ((utf8_rdfa_state_t)((mask) & 0x7F) << 56) \
)
#define ERR S_ERROR
// ACCEPT ERR TL1 TL2LO TL2HI TL3LO TL3MH mask
#define ASCII_ROW DFA_ROW(S_ACCEPT,ERR, ERR, ERR, ERR, ERR, ERR, 0x7F)
#define CONT_80_8F DFA_ROW(S_TL1, ERR, S_TL2LO, S_TL3LO, S_TL3LO, ERR, ERR, 0x3F)
#define CONT_90_9F DFA_ROW(S_TL1, ERR, S_TL2LO, S_TL3MH, S_TL3MH, ERR, ERR, 0x3F)
#define CONT_A0_BF DFA_ROW(S_TL1, ERR, S_TL2HI, S_TL3MH, S_TL3MH, ERR, ERR, 0x3F)
#define LEAD2_ROW DFA_ROW(ERR, ERR, S_ACCEPT,ERR, ERR, ERR, ERR, 0x1F)
#define E0_ROW DFA_ROW(ERR, ERR, ERR, ERR, S_ACCEPT,ERR, ERR, 0x0F)
#define LEAD3_ROW DFA_ROW(ERR, ERR, ERR, S_ACCEPT,S_ACCEPT,ERR, ERR, 0x0F)
#define ED_ROW DFA_ROW(ERR, ERR, ERR, S_ACCEPT,ERR, ERR, ERR, 0x0F)
#define F0_ROW DFA_ROW(ERR, ERR, ERR, ERR, ERR, ERR, S_ACCEPT,0x07)
#define LEAD4_ROW DFA_ROW(ERR, ERR, ERR, ERR, ERR, S_ACCEPT,S_ACCEPT,0x07)
#define F4_ROW DFA_ROW(ERR, ERR, ERR, ERR, ERR, S_ACCEPT,ERR, 0x07)
#define ERROR_ROW DFA_ROW(ERR, ERR, ERR, ERR, ERR, ERR, ERR, 0x00)
static const utf8_rdfa_state_t utf8_rdfa[256] = {
// 00-7F
[0x00]=ASCII_ROW,[0x01]=ASCII_ROW,[0x02]=ASCII_ROW,[0x03]=ASCII_ROW,
[0x04]=ASCII_ROW,[0x05]=ASCII_ROW,[0x06]=ASCII_ROW,[0x07]=ASCII_ROW,
[0x08]=ASCII_ROW,[0x09]=ASCII_ROW,[0x0A]=ASCII_ROW,[0x0B]=ASCII_ROW,
[0x0C]=ASCII_ROW,[0x0D]=ASCII_ROW,[0x0E]=ASCII_ROW,[0x0F]=ASCII_ROW,
[0x10]=ASCII_ROW,[0x11]=ASCII_ROW,[0x12]=ASCII_ROW,[0x13]=ASCII_ROW,
[0x14]=ASCII_ROW,[0x15]=ASCII_ROW,[0x16]=ASCII_ROW,[0x17]=ASCII_ROW,
[0x18]=ASCII_ROW,[0x19]=ASCII_ROW,[0x1A]=ASCII_ROW,[0x1B]=ASCII_ROW,
[0x1C]=ASCII_ROW,[0x1D]=ASCII_ROW,[0x1E]=ASCII_ROW,[0x1F]=ASCII_ROW,
[0x20]=ASCII_ROW,[0x21]=ASCII_ROW,[0x22]=ASCII_ROW,[0x23]=ASCII_ROW,
[0x24]=ASCII_ROW,[0x25]=ASCII_ROW,[0x26]=ASCII_ROW,[0x27]=ASCII_ROW,
[0x28]=ASCII_ROW,[0x29]=ASCII_ROW,[0x2A]=ASCII_ROW,[0x2B]=ASCII_ROW,
[0x2C]=ASCII_ROW,[0x2D]=ASCII_ROW,[0x2E]=ASCII_ROW,[0x2F]=ASCII_ROW,
[0x30]=ASCII_ROW,[0x31]=ASCII_ROW,[0x32]=ASCII_ROW,[0x33]=ASCII_ROW,
[0x34]=ASCII_ROW,[0x35]=ASCII_ROW,[0x36]=ASCII_ROW,[0x37]=ASCII_ROW,
[0x38]=ASCII_ROW,[0x39]=ASCII_ROW,[0x3A]=ASCII_ROW,[0x3B]=ASCII_ROW,
[0x3C]=ASCII_ROW,[0x3D]=ASCII_ROW,[0x3E]=ASCII_ROW,[0x3F]=ASCII_ROW,
[0x40]=ASCII_ROW,[0x41]=ASCII_ROW,[0x42]=ASCII_ROW,[0x43]=ASCII_ROW,
[0x44]=ASCII_ROW,[0x45]=ASCII_ROW,[0x46]=ASCII_ROW,[0x47]=ASCII_ROW,
[0x48]=ASCII_ROW,[0x49]=ASCII_ROW,[0x4A]=ASCII_ROW,[0x4B]=ASCII_ROW,
[0x4C]=ASCII_ROW,[0x4D]=ASCII_ROW,[0x4E]=ASCII_ROW,[0x4F]=ASCII_ROW,
[0x50]=ASCII_ROW,[0x51]=ASCII_ROW,[0x52]=ASCII_ROW,[0x53]=ASCII_ROW,
[0x54]=ASCII_ROW,[0x55]=ASCII_ROW,[0x56]=ASCII_ROW,[0x57]=ASCII_ROW,
[0x58]=ASCII_ROW,[0x59]=ASCII_ROW,[0x5A]=ASCII_ROW,[0x5B]=ASCII_ROW,
[0x5C]=ASCII_ROW,[0x5D]=ASCII_ROW,[0x5E]=ASCII_ROW,[0x5F]=ASCII_ROW,
[0x60]=ASCII_ROW,[0x61]=ASCII_ROW,[0x62]=ASCII_ROW,[0x63]=ASCII_ROW,
[0x64]=ASCII_ROW,[0x65]=ASCII_ROW,[0x66]=ASCII_ROW,[0x67]=ASCII_ROW,
[0x68]=ASCII_ROW,[0x69]=ASCII_ROW,[0x6A]=ASCII_ROW,[0x6B]=ASCII_ROW,
[0x6C]=ASCII_ROW,[0x6D]=ASCII_ROW,[0x6E]=ASCII_ROW,[0x6F]=ASCII_ROW,
[0x70]=ASCII_ROW,[0x71]=ASCII_ROW,[0x72]=ASCII_ROW,[0x73]=ASCII_ROW,
[0x74]=ASCII_ROW,[0x75]=ASCII_ROW,[0x76]=ASCII_ROW,[0x77]=ASCII_ROW,
[0x78]=ASCII_ROW,[0x79]=ASCII_ROW,[0x7A]=ASCII_ROW,[0x7B]=ASCII_ROW,
[0x7C]=ASCII_ROW,[0x7D]=ASCII_ROW,[0x7E]=ASCII_ROW,[0x7F]=ASCII_ROW,
// 80-8F
[0x80]=CONT_80_8F,[0x81]=CONT_80_8F,[0x82]=CONT_80_8F,[0x83]=CONT_80_8F,
[0x84]=CONT_80_8F,[0x85]=CONT_80_8F,[0x86]=CONT_80_8F,[0x87]=CONT_80_8F,
[0x88]=CONT_80_8F,[0x89]=CONT_80_8F,[0x8A]=CONT_80_8F,[0x8B]=CONT_80_8F,
[0x8C]=CONT_80_8F,[0x8D]=CONT_80_8F,[0x8E]=CONT_80_8F,[0x8F]=CONT_80_8F,
// 90-9F
[0x90]=CONT_90_9F,[0x91]=CONT_90_9F,[0x92]=CONT_90_9F,[0x93]=CONT_90_9F,
[0x94]=CONT_90_9F,[0x95]=CONT_90_9F,[0x96]=CONT_90_9F,[0x97]=CONT_90_9F,
[0x98]=CONT_90_9F,[0x99]=CONT_90_9F,[0x9A]=CONT_90_9F,[0x9B]=CONT_90_9F,
[0x9C]=CONT_90_9F,[0x9D]=CONT_90_9F,[0x9E]=CONT_90_9F,[0x9F]=CONT_90_9F,
// A0-BF
[0xA0]=CONT_A0_BF,[0xA1]=CONT_A0_BF,[0xA2]=CONT_A0_BF,[0xA3]=CONT_A0_BF,
[0xA4]=CONT_A0_BF,[0xA5]=CONT_A0_BF,[0xA6]=CONT_A0_BF,[0xA7]=CONT_A0_BF,
[0xA8]=CONT_A0_BF,[0xA9]=CONT_A0_BF,[0xAA]=CONT_A0_BF,[0xAB]=CONT_A0_BF,
[0xAC]=CONT_A0_BF,[0xAD]=CONT_A0_BF,[0xAE]=CONT_A0_BF,[0xAF]=CONT_A0_BF,
[0xB0]=CONT_A0_BF,[0xB1]=CONT_A0_BF,[0xB2]=CONT_A0_BF,[0xB3]=CONT_A0_BF,
[0xB4]=CONT_A0_BF,[0xB5]=CONT_A0_BF,[0xB6]=CONT_A0_BF,[0xB7]=CONT_A0_BF,
[0xB8]=CONT_A0_BF,[0xB9]=CONT_A0_BF,[0xBA]=CONT_A0_BF,[0xBB]=CONT_A0_BF,
[0xBC]=CONT_A0_BF,[0xBD]=CONT_A0_BF,[0xBE]=CONT_A0_BF,[0xBF]=CONT_A0_BF,
// C0-C1
[0xC0]=ERROR_ROW,[0xC1]=ERROR_ROW,
// C2-DF
[0xC2]=LEAD2_ROW,[0xC3]=LEAD2_ROW,[0xC4]=LEAD2_ROW,[0xC5]=LEAD2_ROW,
[0xC6]=LEAD2_ROW,[0xC7]=LEAD2_ROW,[0xC8]=LEAD2_ROW,[0xC9]=LEAD2_ROW,
[0xCA]=LEAD2_ROW,[0xCB]=LEAD2_ROW,[0xCC]=LEAD2_ROW,[0xCD]=LEAD2_ROW,
[0xCE]=LEAD2_ROW,[0xCF]=LEAD2_ROW,[0xD0]=LEAD2_ROW,[0xD1]=LEAD2_ROW,
[0xD2]=LEAD2_ROW,[0xD3]=LEAD2_ROW,[0xD4]=LEAD2_ROW,[0xD5]=LEAD2_ROW,
[0xD6]=LEAD2_ROW,[0xD7]=LEAD2_ROW,[0xD8]=LEAD2_ROW,[0xD9]=LEAD2_ROW,
[0xDA]=LEAD2_ROW,[0xDB]=LEAD2_ROW,[0xDC]=LEAD2_ROW,[0xDD]=LEAD2_ROW,
[0xDE]=LEAD2_ROW,[0xDF]=LEAD2_ROW,
// E0
[0xE0]=E0_ROW,
// E1-EC
[0xE1]=LEAD3_ROW,[0xE2]=LEAD3_ROW,[0xE3]=LEAD3_ROW,[0xE4]=LEAD3_ROW,
[0xE5]=LEAD3_ROW,[0xE6]=LEAD3_ROW,[0xE7]=LEAD3_ROW,[0xE8]=LEAD3_ROW,
[0xE9]=LEAD3_ROW,[0xEA]=LEAD3_ROW,[0xEB]=LEAD3_ROW,[0xEC]=LEAD3_ROW,
// ED
[0xED]=ED_ROW,
// EE-EF
[0xEE]=LEAD3_ROW,[0xEF]=LEAD3_ROW,
// F0
[0xF0]=F0_ROW,
// F1-F3
[0xF1]=LEAD4_ROW,[0xF2]=LEAD4_ROW,[0xF3]=LEAD4_ROW,
// F4
[0xF4]=F4_ROW,
// F5-FF
[0xF5]=ERROR_ROW,[0xF6]=ERROR_ROW,[0xF7]=ERROR_ROW,[0xF8]=ERROR_ROW,
[0xF9]=ERROR_ROW,[0xFA]=ERROR_ROW,[0xFB]=ERROR_ROW,[0xFC]=ERROR_ROW,
[0xFD]=ERROR_ROW,[0xFE]=ERROR_ROW,[0xFF]=ERROR_ROW,
};
/* clang-format on */
#undef S_ERROR
#undef S_ACCEPT
#undef S_TL1
#undef S_TL2LO
#undef S_TL2HI
#undef S_TL3LO
#undef S_TL3MH
#undef ERR
#undef DFA_ROW
#undef ASCII_ROW
#undef CONT_80_8F
#undef CONT_90_9F
#undef CONT_A0_BF
#undef LEAD2_ROW
#undef LEAD3_ROW
#undef LEAD4_ROW
#undef ERROR_ROW
#undef E0_ROW
#undef ED_ROW
#undef F0_ROW
#undef F4_ROW
static inline utf8_rdfa_state_t utf8_rdfa_step(utf8_rdfa_state_t state,
uint8_t byte) {
return (utf8_rdfa[byte] >> state) & 63;
}
static inline utf8_rdfa_state_t utf8_rdfa_step_decode(utf8_rdfa_state_t state,
uint8_t byte,
uint32_t* codepoint) {
utf8_rdfa_state_t row = utf8_rdfa[byte];
uint32_t shift = ((state >> 2) & 3) * 6;
*codepoint = *codepoint | (byte & (uint32_t)(row >> 56)) << shift;
return (row >> state) & 63;
}
static inline utf8_rdfa_state_t utf8_rdfa_run(utf8_rdfa_state_t state,
const uint8_t* bytes,
size_t len) {
while (len > 0)
state = utf8_rdfa[bytes[--len]] >> (state & 63);
return state & 63;
}
#ifdef __cplusplus
}
#endif
#endif // UTF8_RDFA64_H