Add delay buffer utilities to engine_util_misc.
PiperOrigin-RevId: 866450284 Change-Id: I86d6dd6a6f7519640f75ca405fb60a12e8619c86
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Copybara-Service
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@@ -910,6 +910,215 @@ size_t mju_decodeBase64(uint8_t* buf, const char* s) {
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}
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//------------------------------ delay buffers -----------------------------------------------------
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// convert logical index (0=oldest, n-1=newest) to physical index
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// cursor points to the newest element (logical index n-1)
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static inline int delayPhysicalIndex(int cursor, int n, int logical) {
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return (cursor + 1 + logical) % n;
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}
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// find logical index i such that times[i-1] < t <= times[i], using circular binary search
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// returns 0 if t <= times[oldest], n if t > times[newest]
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// cursor points to the newest element (logical index n-1)
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static int delayFindIndex(const mjtNum* times, int n, int cursor, mjtNum t) {
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// get oldest and newest timestamps
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int oldest_phys = delayPhysicalIndex(cursor, n, 0);
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int newest_phys = delayPhysicalIndex(cursor, n, n-1);
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mjtNum t_oldest = times[oldest_phys];
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mjtNum t_newest = times[newest_phys];
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// before or at first element
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if (t <= t_oldest) {
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return 0;
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}
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// after last element
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if (t > t_newest) {
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return n;
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}
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// circular binary search: find smallest logical i such that times[phys(i)] >= t
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int lo = 0;
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int hi = n - 1;
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while (hi - lo > 1) {
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int mid = (lo + hi) / 2;
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int mid_phys = delayPhysicalIndex(cursor, n, mid);
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if (times[mid_phys] < t) {
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lo = mid;
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} else {
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hi = mid;
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}
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}
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return hi;
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}
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// initialize delay buffer with given times and values; times must be strictly increasing
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// buffer layout: [user(1), cursor(1), times(n), values(n*dim)]
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void mju_delayInit(mjtNum* buf, int n, int dim, const mjtNum* times, const mjtNum* values,
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mjtNum user) {
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// check strict monotonicity of times
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for (int i = 0; i < n-1; i++) {
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if (times[i+1] - times[i] < mjMINVAL) {
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mjERROR("times must be strictly increasing, got times[%d]=%g >= times[%d]=%g",
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i, times[i], i+1, times[i+1]);
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}
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}
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// buf layout: [user(1), cursor(1), times(n), values(n*dim)]
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buf[0] = user; // user value
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buf[1] = (mjtNum)(n-1); // cursor points to newest (logical index n-1 = physical index n-1)
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mjtNum* buf_times = buf + 2;
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mjtNum* buf_values = buf + 2 + n;
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if (times != buf_times) mju_copy(buf_times, times, n);
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if (values) mju_copy(buf_values, values, n*dim);
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}
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// find insertion slot for time t, maintaining sorted order
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// if t matches an existing timestamp, returns pointer to that slot
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// if a new sample is inserted, the oldest sample is dropped
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// returns pointer to value slot where caller should write dim values
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mjtNum* mju_delayInsert(mjtNum* buf, int n, int dim, mjtNum t) {
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int cursor = (int)buf[1];
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mjtNum* times = buf + 2;
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mjtNum* values = buf + 2 + n;
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// find logical insertion index: times[i-1] < t <= times[i]
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int i = delayFindIndex(times, n, cursor, t);
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// exact match at logical i: return pointer to existing slot
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if (i < n) {
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int phys_i = delayPhysicalIndex(cursor, n, i);
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if (mju_abs(t - times[phys_i]) < mjMINVAL) {
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return values + phys_i*dim;
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}
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}
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// logical i == 0: new sample is older than oldest, replace oldest slot
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if (i == 0) {
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int oldest_phys = delayPhysicalIndex(cursor, n, 0);
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times[oldest_phys] = t;
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return values + oldest_phys*dim;
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}
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// logical i == n: new sample is newer than newest, advance cursor and write
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if (i == n) {
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cursor = (cursor + 1) % n;
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buf[1] = (mjtNum)cursor;
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// cursor now points to the new newest slot (which was the old oldest)
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times[cursor] = t;
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return values + cursor*dim;
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}
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// 0 < i < n: out-of-order insertion, shift [1, i-1] left (dropping 0), insert at i-1
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for (int j = 0; j < i-1; j++) {
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int src_phys = delayPhysicalIndex(cursor, n, j+1);
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int dst_phys = delayPhysicalIndex(cursor, n, j);
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times[dst_phys] = times[src_phys];
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mju_copy(values + dst_phys*dim, values + src_phys*dim, dim);
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}
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int insert_phys = delayPhysicalIndex(cursor, n, i-1);
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times[insert_phys] = t;
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return values + insert_phys*dim;
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}
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// read vector value at time t; interp: 0=zero-order-hold, 1=linear, 2=cubic spline
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// returns pointer to sample in buffer on exact match or ZOH (res untouched)
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// returns NULL and writes interpolated result to res on interpolation
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const mjtNum* mju_delayRead(const mjtNum* buf, int n, int dim, mjtNum* res, mjtNum t, int interp) {
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int cursor = (int)buf[1];
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const mjtNum* times = buf + 2;
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const mjtNum* values = buf + 2 + n;
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int oldest_phys = delayPhysicalIndex(cursor, n, 0);
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int newest_phys = delayPhysicalIndex(cursor, n, n-1);
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mjtNum t_oldest = times[oldest_phys];
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mjtNum t_newest = times[newest_phys];
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// extrapolate before oldest: return pointer to oldest value
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if (t <= t_oldest + mjMINVAL) {
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return values + oldest_phys*dim;
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}
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// extrapolate after newest: return pointer to newest value
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if (t >= t_newest - mjMINVAL) {
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return values + newest_phys*dim;
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}
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// find bracketing logical index: times[i-1] < t <= times[i]
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int i = delayFindIndex(times, n, cursor, t);
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int phys_i = delayPhysicalIndex(cursor, n, i);
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// check for exact match at i
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if (mju_abs(t - times[phys_i]) < mjMINVAL) {
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return values + phys_i*dim;
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}
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// lo = i-1, hi = i (we know i > 0 because t > t_oldest)
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int phys_lo = delayPhysicalIndex(cursor, n, i-1);
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int phys_hi = phys_i;
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// zero-order hold: return pointer to lo (most recent sample <= t)
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if (interp == 0) {
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return values + phys_lo*dim;
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}
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mjtNum dt = times[phys_hi] - times[phys_lo];
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mjtNum alpha = (t - times[phys_lo]) / dt;
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// piecewise linear interpolation
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if (interp == 1) {
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for (int d = 0; d < dim; d++) {
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res[d] = values[phys_lo*dim+d] + alpha * (values[phys_hi*dim+d] - values[phys_lo*dim+d]);
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}
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}
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// cubic spline interpolation
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else {
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// Hermite basis functions
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mjtNum alpha2 = alpha * alpha;
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mjtNum alpha3 = alpha2 * alpha;
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mjtNum h00 = 2*alpha3 - 3*alpha2 + 1;
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mjtNum h10 = alpha3 - 2*alpha2 + alpha;
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mjtNum h01 = -2*alpha3 + 3*alpha2;
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mjtNum h11 = alpha3 - alpha2;
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for (int d = 0; d < dim; d++) {
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// finite differenced catmull-rom slopes, 0 at endpoints (constant extrapolation)
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mjtNum m_lo = 0;
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if (i > 1) {
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int phys_lo_prev = delayPhysicalIndex(cursor, n, i-2);
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mjtNum dt_lo = times[phys_hi] - times[phys_lo_prev];
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m_lo = (values[phys_hi*dim+d] - values[phys_lo_prev*dim+d]) / dt_lo;
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}
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mjtNum m_hi = 0;
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if (i < n - 1) {
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int phys_hi_next = delayPhysicalIndex(cursor, n, i+1);
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mjtNum dt_hi = times[phys_hi_next] - times[phys_lo];
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m_hi = (values[phys_hi_next*dim+d] - values[phys_lo*dim+d]) / dt_hi;
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}
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res[d] = h00 * values[phys_lo*dim+d] +
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h10 * dt * m_lo +
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h01 * values[phys_hi*dim+d] +
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h11 * dt * m_hi;
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}
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}
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return NULL;
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}
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//------------------------------ miscellaneous -----------------------------------------------------
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// convert contact force to pyramid representation
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