--- /dev/null
+#include <math.h>
+#include <stdlib.h>
+#include <string.h>
+#include <stdio.h>
+#include <errno.h>
+#include "prob1.h"
+
+#include "kseq.h"
+KSTREAM_INIT(gzFile, gzread, 16384)
+
+#define MC_AVG_ERR 0.007
+#define MC_MAX_EM_ITER 16
+#define MC_EM_EPS 1e-4
+
+unsigned char seq_nt4_table[256] = {
+ 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
+ 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
+ 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 /*'-'*/, 4, 4,
+ 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
+ 4, 0, 4, 1, 4, 4, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4,
+ 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
+ 4, 0, 4, 1, 4, 4, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4,
+ 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
+ 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
+ 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
+ 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
+ 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
+ 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
+ 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
+ 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
+ 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4
+};
+
+struct __bcf_p1aux_t {
+ int n, M, n1;
+ double *q2p, *pdg; // pdg -> P(D|g)
+ double *phi;
+ double *z, *zswap; // aux for afs
+ double *z1, *z2, *phi1, *phi2; // only calculated when n1 is set
+ double t, t1, t2;
+ double *afs, *afs1; // afs: accumulative AFS; afs1: site posterior distribution
+ const uint8_t *PL; // point to PL
+ int PL_len;
+};
+
+static void init_prior(int type, double theta, int M, double *phi)
+{
+ int i;
+ if (type == MC_PTYPE_COND2) {
+ for (i = 0; i <= M; ++i)
+ phi[i] = 2. * (i + 1) / (M + 1) / (M + 2);
+ } else if (type == MC_PTYPE_FLAT) {
+ for (i = 0; i <= M; ++i)
+ phi[i] = 1. / (M + 1);
+ } else {
+ double sum;
+ for (i = 0, sum = 0.; i < M; ++i)
+ sum += (phi[i] = theta / (M - i));
+ phi[M] = 1. - sum;
+ }
+}
+
+void bcf_p1_init_prior(bcf_p1aux_t *ma, int type, double theta)
+{
+ init_prior(type, theta, ma->M, ma->phi);
+}
+
+void bcf_p1_init_subprior(bcf_p1aux_t *ma, int type, double theta)
+{
+ if (ma->n1 <= 0 || ma->n1 >= ma->M) return;
+ init_prior(type, theta, 2*ma->n1, ma->phi1);
+ init_prior(type, theta, 2*(ma->n - ma->n1), ma->phi2);
+}
+
+int bcf_p1_read_prior(bcf_p1aux_t *ma, const char *fn)
+{
+ gzFile fp;
+ kstring_t s;
+ kstream_t *ks;
+ long double sum;
+ int dret, k;
+ memset(&s, 0, sizeof(kstring_t));
+ fp = strcmp(fn, "-")? gzopen(fn, "r") : gzdopen(fileno(stdin), "r");
+ ks = ks_init(fp);
+ memset(ma->phi, 0, sizeof(double) * (ma->M + 1));
+ while (ks_getuntil(ks, '\n', &s, &dret) >= 0) {
+ if (strstr(s.s, "[afs] ") == s.s) {
+ char *p = s.s + 6;
+ for (k = 0; k <= ma->M; ++k) {
+ int x;
+ double y;
+ x = strtol(p, &p, 10);
+ if (x != k && (errno == EINVAL || errno == ERANGE)) return -1;
+ ++p;
+ y = strtod(p, &p);
+ if (y == 0. && (errno == EINVAL || errno == ERANGE)) return -1;
+ ma->phi[ma->M - k] += y;
+ }
+ }
+ }
+ ks_destroy(ks);
+ gzclose(fp);
+ free(s.s);
+ for (sum = 0., k = 0; k <= ma->M; ++k) sum += ma->phi[k];
+ fprintf(stderr, "[prior]");
+ for (k = 0; k <= ma->M; ++k) ma->phi[k] /= sum;
+ for (k = 0; k <= ma->M; ++k) fprintf(stderr, " %d:%.3lg", k, ma->phi[ma->M - k]);
+ fputc('\n', stderr);
+ for (sum = 0., k = 1; k < ma->M; ++k) sum += ma->phi[ma->M - k] * (2.* k * (ma->M - k) / ma->M / (ma->M - 1));
+ fprintf(stderr, "[%s] heterozygosity=%lf, ", __func__, (double)sum);
+ for (sum = 0., k = 1; k <= ma->M; ++k) sum += k * ma->phi[ma->M - k] / ma->M;
+ fprintf(stderr, "theta=%lf\n", (double)sum);
+ return 0;
+}
+
+bcf_p1aux_t *bcf_p1_init(int n)
+{
+ bcf_p1aux_t *ma;
+ int i;
+ ma = calloc(1, sizeof(bcf_p1aux_t));
+ ma->n1 = -1;
+ ma->n = n; ma->M = 2 * n;
+ ma->q2p = calloc(256, sizeof(double));
+ ma->pdg = calloc(3 * ma->n, sizeof(double));
+ ma->phi = calloc(ma->M + 1, sizeof(double));
+ ma->phi1 = calloc(ma->M + 1, sizeof(double));
+ ma->phi2 = calloc(ma->M + 1, sizeof(double));
+ ma->z = calloc(2 * ma->n + 1, sizeof(double));
+ ma->zswap = calloc(2 * ma->n + 1, sizeof(double));
+ ma->z1 = calloc(ma->M + 1, sizeof(double)); // actually we do not need this large
+ ma->z2 = calloc(ma->M + 1, sizeof(double));
+ ma->afs = calloc(2 * ma->n + 1, sizeof(double));
+ ma->afs1 = calloc(2 * ma->n + 1, sizeof(double));
+ for (i = 0; i < 256; ++i)
+ ma->q2p[i] = pow(10., -i / 10.);
+ bcf_p1_init_prior(ma, MC_PTYPE_FULL, 1e-3); // the simplest prior
+ return ma;
+}
+
+int bcf_p1_set_n1(bcf_p1aux_t *b, int n1)
+{
+ if (n1 == 0 || n1 >= b->n) return -1;
+ b->n1 = n1;
+ return 0;
+}
+
+void bcf_p1_destroy(bcf_p1aux_t *ma)
+{
+ if (ma) {
+ free(ma->q2p); free(ma->pdg);
+ free(ma->phi); free(ma->phi1); free(ma->phi2);
+ free(ma->z); free(ma->zswap); free(ma->z1); free(ma->z2);
+ free(ma->afs); free(ma->afs1);
+ free(ma);
+ }
+}
+
+static int cal_pdg(const bcf1_t *b, bcf_p1aux_t *ma)
+{
+ int i, j, k;
+ long *p, tmp;
+ p = alloca(b->n_alleles * sizeof(long));
+ memset(p, 0, sizeof(long) * b->n_alleles);
+ for (j = 0; j < ma->n; ++j) {
+ const uint8_t *pi = ma->PL + j * ma->PL_len;
+ double *pdg = ma->pdg + j * 3;
+ pdg[0] = ma->q2p[pi[b->n_alleles]]; pdg[1] = ma->q2p[pi[1]]; pdg[2] = ma->q2p[pi[0]];
+ for (i = k = 0; i < b->n_alleles; ++i) {
+ p[i] += (int)pi[k];
+ k += b->n_alleles - i;
+ }
+ }
+ for (i = 0; i < b->n_alleles; ++i) p[i] = p[i]<<4 | i;
+ for (i = 1; i < b->n_alleles; ++i) // insertion sort
+ for (j = i; j > 0 && p[j] < p[j-1]; --j)
+ tmp = p[j], p[j] = p[j-1], p[j-1] = tmp;
+ for (i = b->n_alleles - 1; i >= 0; --i)
+ if ((p[i]&0xf) == 0) break;
+ return i;
+}
+// f0 is the reference allele frequency
+static double mc_freq_iter(double f0, const bcf_p1aux_t *ma)
+{
+ double f, f3[3];
+ int i;
+ f3[0] = (1.-f0)*(1.-f0); f3[1] = 2.*f0*(1.-f0); f3[2] = f0*f0;
+ for (i = 0, f = 0.; i < ma->n; ++i) {
+ double *pdg;
+ pdg = ma->pdg + i * 3;
+ f += (pdg[1] * f3[1] + 2. * pdg[2] * f3[2])
+ / (pdg[0] * f3[0] + pdg[1] * f3[1] + pdg[2] * f3[2]);
+ }
+ f /= ma->n * 2.;
+ return f;
+}
+
+int bcf_p1_call_gt(const bcf_p1aux_t *ma, double f0, int k)
+{
+ double sum, g[3];
+ double max, f3[3], *pdg = ma->pdg + k * 3;
+ int q, i, max_i;
+ f3[0] = (1.-f0)*(1.-f0); f3[1] = 2.*f0*(1.-f0); f3[2] = f0*f0;
+ for (i = 0, sum = 0.; i < 3; ++i)
+ sum += (g[i] = pdg[i] * f3[i]);
+ for (i = 0, max = -1., max_i = 0; i < 3; ++i) {
+ g[i] /= sum;
+ if (g[i] > max) max = g[i], max_i = i;
+ }
+ max = 1. - max;
+ if (max < 1e-308) max = 1e-308;
+ q = (int)(-4.343 * log(max) + .499);
+ if (q > 99) q = 99;
+ return q<<2|max_i;
+}
+
+#define TINY 1e-20
+
+static void mc_cal_y_core(bcf_p1aux_t *ma, int beg)
+{
+ double *z[2], *tmp, *pdg;
+ int _j, last_min, last_max;
+ z[0] = ma->z;
+ z[1] = ma->zswap;
+ pdg = ma->pdg;
+ memset(z[0], 0, sizeof(double) * (ma->M + 1));
+ memset(z[1], 0, sizeof(double) * (ma->M + 1));
+ z[0][0] = 1.;
+ last_min = last_max = 0;
+ ma->t = 0.;
+ for (_j = beg; _j < ma->n; ++_j) {
+ int k, j = _j - beg, _min = last_min, _max = last_max;
+ double p[3], sum;
+ pdg = ma->pdg + _j * 3;
+ p[0] = pdg[0]; p[1] = 2. * pdg[1]; p[2] = pdg[2];
+ for (; _min < _max && z[0][_min] < TINY; ++_min) z[0][_min] = z[1][_min] = 0.;
+ for (; _max > _min && z[0][_max] < TINY; --_max) z[0][_max] = z[1][_max] = 0.;
+ _max += 2;
+ if (_min == 0)
+ k = 0, z[1][k] = (2*j+2-k)*(2*j-k+1) * p[0] * z[0][k];
+ if (_min <= 1)
+ k = 1, z[1][k] = (2*j+2-k)*(2*j-k+1) * p[0] * z[0][k] + k*(2*j+2-k) * p[1] * z[0][k-1];
+ for (k = _min < 2? 2 : _min; k <= _max; ++k)
+ z[1][k] = (2*j+2-k)*(2*j-k+1) * p[0] * z[0][k]
+ + k*(2*j+2-k) * p[1] * z[0][k-1]
+ + k*(k-1)* p[2] * z[0][k-2];
+ for (k = _min, sum = 0.; k <= _max; ++k) sum += z[1][k];
+ ma->t += log(sum / ((2. * j + 2) * (2. * j + 1)));
+ for (k = _min; k <= _max; ++k) z[1][k] /= sum;
+ if (_min >= 1) z[1][_min-1] = 0.;
+ if (_min >= 2) z[1][_min-2] = 0.;
+ if (j < ma->n - 1) z[1][_max+1] = z[1][_max+2] = 0.;
+ if (_j == ma->n1 - 1) { // set pop1
+ ma->t1 = ma->t;
+ memcpy(ma->z1, z[1], sizeof(double) * (ma->n1 * 2 + 1));
+ }
+ tmp = z[0]; z[0] = z[1]; z[1] = tmp;
+ last_min = _min; last_max = _max;
+ }
+ if (z[0] != ma->z) memcpy(ma->z, z[0], sizeof(double) * (ma->M + 1));
+}
+
+static void mc_cal_y(bcf_p1aux_t *ma)
+{
+ if (ma->n1 > 0 && ma->n1 < ma->n) {
+ int k;
+ long double x;
+ memset(ma->z1, 0, sizeof(double) * (2 * ma->n1 + 1));
+ memset(ma->z2, 0, sizeof(double) * (2 * (ma->n - ma->n1) + 1));
+ ma->t1 = ma->t2 = 0.;
+ mc_cal_y_core(ma, ma->n1);
+ ma->t2 = ma->t;
+ memcpy(ma->z2, ma->z, sizeof(double) * (2 * (ma->n - ma->n1) + 1));
+ mc_cal_y_core(ma, 0);
+ // rescale z
+ x = expl(ma->t - (ma->t1 + ma->t2));
+ for (k = 0; k <= ma->M; ++k) ma->z[k] *= x;
+ } else mc_cal_y_core(ma, 0);
+}
+
+static void contrast(bcf_p1aux_t *ma, double pc[4]) // mc_cal_y() must be called before hand
+{
+ int k, n1 = ma->n1, n2 = ma->n - ma->n1;
+ long double sum1, sum2;
+ pc[0] = pc[1] = pc[2] = pc[3] = -1.;
+ if (n1 <= 0 || n2 <= 0) return;
+ for (k = 0, sum1 = 0.; k <= 2*n1; ++k) sum1 += ma->phi1[k] * ma->z1[k];
+ for (k = 0, sum2 = 0.; k <= 2*n2; ++k) sum2 += ma->phi2[k] * ma->z2[k];
+ pc[2] = ma->phi1[2*n1] * ma->z1[2*n1] / sum1;
+ pc[3] = ma->phi2[2*n2] * ma->z2[2*n2] / sum2;
+ for (k = 2; k < 4; ++k) {
+ pc[k] = pc[k] > .5? -(-4.343 * log(1. - pc[k] + TINY) + .499) : -4.343 * log(pc[k] + TINY) + .499;
+ pc[k] = (int)pc[k];
+ if (pc[k] > 99) pc[k] = 99;
+ if (pc[k] < -99) pc[k] = -99;
+ }
+ pc[0] = ma->phi2[2*n2] * ma->z2[2*n2] / sum2 * (1. - ma->phi1[2*n1] * ma->z1[2*n1] / sum1);
+ pc[1] = ma->phi1[2*n1] * ma->z1[2*n1] / sum1 * (1. - ma->phi2[2*n2] * ma->z2[2*n2] / sum2);
+ pc[0] = pc[0] == 1.? 99 : (int)(-4.343 * log(1. - pc[0]) + .499);
+ pc[1] = pc[1] == 1.? 99 : (int)(-4.343 * log(1. - pc[1]) + .499);
+}
+
+static double mc_cal_afs(bcf_p1aux_t *ma)
+{
+ int k;
+ long double sum = 0.;
+ memset(ma->afs1, 0, sizeof(double) * (ma->M + 1));
+ mc_cal_y(ma);
+ for (k = 0, sum = 0.; k <= ma->M; ++k)
+ sum += (long double)ma->phi[k] * ma->z[k];
+ for (k = 0; k <= ma->M; ++k) {
+ ma->afs1[k] = ma->phi[k] * ma->z[k] / sum;
+ if (isnan(ma->afs1[k]) || isinf(ma->afs1[k])) return -1.;
+ }
+ for (k = 0, sum = 0.; k <= ma->M; ++k) {
+ ma->afs[k] += ma->afs1[k];
+ sum += k * ma->afs1[k];
+ }
+ return sum / ma->M;
+}
+
+long double bcf_p1_cal_g3(bcf_p1aux_t *p1a, double g[3])
+{
+ long double pd = 0., g2[3];
+ int i, k;
+ memset(g2, 0, sizeof(long double) * 3);
+ for (k = 0; k < p1a->M; ++k) {
+ double f = (double)k / p1a->M, f3[3], g1[3];
+ long double z = 1.;
+ g1[0] = g1[1] = g1[2] = 0.;
+ f3[0] = (1. - f) * (1. - f); f3[1] = 2. * f * (1. - f); f3[2] = f * f;
+ for (i = 0; i < p1a->n; ++i) {
+ double *pdg = p1a->pdg + i * 3;
+ double x = pdg[0] * f3[0] + pdg[1] * f3[1] + pdg[2] * f3[2];
+ z *= x;
+ g1[0] += pdg[0] * f3[0] / x;
+ g1[1] += pdg[1] * f3[1] / x;
+ g1[2] += pdg[2] * f3[2] / x;
+ }
+ pd += p1a->phi[k] * z;
+ for (i = 0; i < 3; ++i)
+ g2[i] += p1a->phi[k] * z * g1[i];
+ }
+ for (i = 0; i < 3; ++i) g[i] = g2[i] / pd;
+ return pd;
+}
+
+int bcf_p1_cal(bcf1_t *b, bcf_p1aux_t *ma, bcf_p1rst_t *rst)
+{
+ int i, k;
+ long double sum = 0.;
+ // set PL and PL_len
+ for (i = 0; i < b->n_gi; ++i) {
+ if (b->gi[i].fmt == bcf_str2int("PL", 2)) {
+ ma->PL = (uint8_t*)b->gi[i].data;
+ ma->PL_len = b->gi[i].len;
+ break;
+ }
+ }
+ if (b->n_alleles < 2) return -1; // FIXME: find a better solution
+ //
+ rst->rank0 = cal_pdg(b, ma);
+ rst->f_exp = mc_cal_afs(ma);
+ rst->p_ref = ma->afs1[ma->M];
+ // calculate f_flat and f_em
+ for (k = 0, sum = 0.; k <= ma->M; ++k)
+ sum += (long double)ma->z[k];
+ rst->f_flat = 0.;
+ for (k = 0; k <= ma->M; ++k) {
+ double p = ma->z[k] / sum;
+ rst->f_flat += k * p;
+ }
+ rst->f_flat /= ma->M;
+ { // calculate f_em
+ double flast = rst->f_flat;
+ for (i = 0; i < MC_MAX_EM_ITER; ++i) {
+ rst->f_em = mc_freq_iter(flast, ma);
+ if (fabs(rst->f_em - flast) < MC_EM_EPS) break;
+ flast = rst->f_em;
+ }
+ }
+ rst->g[0] = rst->g[1] = rst->g[2] = -1.;
+ contrast(ma, rst->pc);
+ return 0;
+}
+
+void bcf_p1_dump_afs(bcf_p1aux_t *ma)
+{
+ int k;
+ fprintf(stderr, "[afs]");
+ for (k = 0; k <= ma->M; ++k)
+ fprintf(stderr, " %d:%.3lf", k, ma->afs[ma->M - k]);
+ fprintf(stderr, "\n");
+ memset(ma->afs, 0, sizeof(double) * (ma->M + 1));
+}