+timeEpochNS() {
+ # Desc: Get epoch nanoseconds
+ # Usage: timeEpochNS
+ # Version 0.2.2
+ # Input: arg1: 'date'-parsable timestamp string (optional)
+ # Output: Nanoseconds since 1970-01-01
+ # Depends: date 8, yell()
+ # Ref/Attrib: Force base 10 Bash arith with '10#'. https://stackoverflow.com/a/24777667
+ local TIME_CURRENT TIME_INPUT TIME_EPOCH_FLOAT TIME_EPOCH_NSFRAC
+ local TIME_EPOCH_NS
+
+ argTime="$1";
+
+ # Get Current Time
+ TIME_CURRENT="$(date --iso-8601=ns)"; # Produce `date`-parsable current timestamp with resolution of 1 nanosecond.
+
+ # Decide to parse current or supplied time
+ ## Check if time argument empty
+ if [[ -z "$argTime" ]]; then
+ ## T: Time argument empty, use current time
+ TIME_INPUT="$TIME_CURRENT";
+ else
+ ## F: Time argument exists, validate time
+ if date --date="$argTime" 1>/dev/null 2>&1; then
+ ### T: Time argument is valid; use it
+ TIME_INPUT="$argTime";
+ else
+ ### F: Time argument not valid; exit
+ yell "ERROR:Invalid time argument supplied. Exiting."; exit 1;
+ fi;
+ fi;
+ # Construct and deliver nanoseconds since 1970-01-01
+ TIME_EPOCH_FLOAT="$(date --date="$TIME_INPUT" +%s.%N)"; # Save ssss.NNNNNNNNN
+ TIME_EPOCH_INT="$(echo "$TIME_EPOCH_FLOAT" | cut -d. -f1)"; # Get ssss
+ TIME_EPOCH_NSFRAC="$(echo "$TIME_EPOCH_FLOAT" | cut -d. -f2)"; # Get NNNNNNNNN
+ TIME_EPOCH_NS="$(( (10#"$TIME_EPOCH_INT" * 10**9) + (10#"$TIME_EPOCH_NSFRAC") ))";
+ echo "$TIME_EPOCH_NS";
+} # Nanoseconds since 1970-01-01
+magicBufferSleepPID() {
+ # Desc: Compensates for lag so buffer rounds start every BUFFER_TTL seconds
+ # Input: vars: BUFFER_TTL, errResetx10e3, K_P, T_I, T_D
+ # # Input: array: errorHistory
+ # Output: vars: BUFFER_TTL_ADJ_FLOAT
+ # Re/Attrib: https://en.wikipedia.org/wiki/PID_controller#Standard_versus_parallel_(ideal)_form
+ local BUFFER_TTL_NS
+ local timeBufferStartNS timeBufferStartNSExp errNS errNSx10e3
+ local errResetx10e3 errRatex10e3 ADJ BUFFER_TTL_ADJ_NS BUFFER_TTL_ADJ_INT
+ local BUFFER_TTL_ADJ_FLOATFRAC
+ # local errorHistorySize
+
+ # ## Define errorHistorySize
+ # errorHistorySize=100;
+ ## Define BUFFER_TTL in nanoseconds
+ BUFFER_TTL_NS=$((BUFFER_TTL * 10**9)) && vbm "BUFFER_TTL_NS:$BUFFER_TTL_NS";
+
+ ### PID Control factors
+ K_P=1; # Gain for compensating buffer round lag
+ T_I="$(((4)*BUFFER_TTL_NS/(1)))"; # Consider this number of past nanoseconds to eliminate error
+ T_D="$(((1)*BUFFER_TTL_NS/(1)))"; # Predict value this number of nanoseconds into the future
+
+ # Calculate Error, errNS, in nanoseconds
+ ## Get current time
+ timeBufferStartNS="$(timeEpochNS)" && vbm "timeBufferStartNS :$timeBufferStartNS";
+ ## Calculate expected time (from start time, current buffer round number, nominal BUFFER_TTL)
+ timeBufferStartNSExp="$(( (timeBufferFirstNS) + (BUFFER_TTL_NS * bufferRound) ))" && vbm "timeBufferStartNSExp:$timeBufferStartNSExp";
+ ## Calculate error (diff between timeBufferStartNSExp and timeBufferStartNS; usually negative)
+ errNS="$(( timeBufferStartNSExp - timeBufferStartNS ))" && vbm "errNS:$errNS";
+# errNSx10e3="$((errNS*10**3))" && vbm "errNSx10e3:$errNSx10e3";
+ # ## Append error to errorHistory
+ # errorHistory+=("errNS");
+ # ### Trim errorHistory array if over errorHistorySize
+ # while [[ "${#errorHistory[@]}" -gt "errorHistorySize" ]]; then do
+ # unset "errorHistory[0]"; # remove oldest entry, creating sparse array
+ # errorHistory=("${errorHistory[@]}"); # reindex sparse array
+ # vbm "STATUS:Trimmed errorHistory array. Entry count:${#errorHistory[@]}";
+ # done;
+
+ # Calculate errReset in nanoseconds^2
+ ## errReset = int(errHistory(t),wrt(delta_BUFFER_TTL))
+ ## Integrate errorHistory with respect to time
+ # for value in "${errorHistory[@]}"; do
+ # errReset=$(( errReset + ( value*BUFFER_TTL_NS ) ));
+ # done;
+ errReset="$(( (errReset + (errNS*BUFFER_TTL_NS)) ))" && vbm "errReset:$errReset";
+# errResetx10e3="$(( ( errResetx10e3 + ( errNSx10e3 * BUFFER_TTL_NS ) )*10**3 ))" && vbm "errResetx10e3:$errResetx10e3";
+
+ # Calculate errRate in nanoseconds per nanosecond
+ errRate="$(( errNS / BUFFER_TTL_NS ))" && vbm "errRate:$errRate";
+# errRatex10e3="$(( ( errNSx10e3 ) / BUFFER_TTL_NS ))" && vbm "errRatex10e3:$errRatex10e3";
+
+ # Debug
+ vbm "errNS :$errNS";
+ vbm "errResetTerm:$((errReset/T_I))";
+ vbm "errRateTerm :$((errRate*T_D))";
+
+ # Calculate PID control signal
+ ## ADJ = K_P * (errNS + errReset/T_I + errRate*T_D)
+ ADJ="$(( K_P*(errNS + errReset/T_I + errRate*T_D) ))" && vbm "ADJ:$ADJ";
+# ADJ="$((K_P*(errNSx10e3 + (errResetx10e3/T_I) + (errRatex10e3*T_D) )/(10**3)))" && vbm "ADJ:$ADJ";
+
+ # Calculate BUFFER_TTL_ADJ_FLOAT from ADJ (ns)
+ ## Calculate BUFFER_TTL_ADJ in nanoseconds (BUFFER_TTL_ADJ_NS = BUFFER_TTL_NS + ADJ)
+ BUFFER_TTL_ADJ_NS="$((BUFFER_TTL_NS + ADJ))" && vbm "BUFFER_TTL_ADJ_NS:$BUFFER_TTL_ADJ_NS";
+ ## Calculate integer seconds
+ BUFFER_TTL_ADJ_INT="$((BUFFER_TTL_ADJ_NS/(10**9)))" && vbm "BUFFER_TTL_ADJ_INT:$BUFFER_TTL_ADJ_INT";
+ ### Catch negative integer seconds, set minimum of BUFFER_TTL/10 seconds
+ if [[ "$BUFFER_TTL_ADJ_INT" -le "$((BUFFER_TTL/10))" ]]; then
+ BUFFER_TTL_ADJ_INT="$((BUFFER_TTL/10))";
+ yell "WARNING:Buffer lag adjustment yielded negative seconds.";
+ fi;
+ ## Calculate nanosecond remainder
+ ### Remove integer
+ BUFFER_TTL_ADJ_FLOATFRAC="$((BUFFER_TTL_ADJ_NS - (BUFFER_TTL_ADJ_INT*(10**9)) ))" && vbm "BUFFER_TTL_ADJ_FLOATFRAC:$BUFFER_TTL_ADJ_FLOATFRAC";
+ ### Calc absolute value of fraction (by removing '-' if present; see https://stackoverflow.com/a/47240327
+ BUFFER_TTL_ADJ_FLOATFRAC="${BUFFER_TTL_ADJ_FLOATFRAC#-}" && vbm "BUFFER_TTL_ADJ_FLOATFRAC:$BUFFER_TTL_ADJ_FLOATFRAC";
+ ## Form float BUFFER_TTL_ADJ_FLOAT
+ BUFFER_TTL_ADJ_FLOAT="$BUFFER_TTL_ADJ_INT"."$BUFFER_TTL_ADJ_FLOATFRAC" && vbm "BUFFER_TTL_ADJ_FLOAT:$BUFFER_TTL_ADJ_FLOAT";
+ vbm "STATUS:Calculated adjusted BUFFER_TTL (seconds):$BUFFER_TTL_ADJ_FLOAT";
+ sleep 1 # Debug
+} # Calc BUFFER_TTL_ADJ_FLOAT so buffer starts every BUFFER_TTL seconds