Optimize planetry recipes for keeping highest resolution

See #171 for background.  I have solved the issue by determining the exact increment and tile size required for the highest resolution, which gets a name based on the floor of the actual increment.  Need floor since 2.56 cannot be rint to 3 since we also will make a 03m grid.
Testing this now but seems to work so want to get these into the repo for further testing.

recipes/mars_relief.recipe

@@ -1,5 +1,5 @@
 # Recipe file for down-filtering MOLA
-# 2023-01-07 PW
+# 2023-01-09 PW
 #
 # We use a precision of 0.5 m with a 6000 m offset to fit the range of -8528 to +21226 in 16-bit ints
 #
@@ -28,8 +28,9 @@
 # DST_SRTM=no
 #
 # List of desired output resolution and chunk size.  Flag the source resolution with code == master
+# Given dimension  106694 x 53347 we have spacing of 12.1468873601 arc seconds as master and 14x7 tiles
 # res	unit	tile	chunk	code
-12		s		10		4096	master
+12.1468873601	s		25.7142857143		4096	master
 15		s		10		4096
 30		s		15		4096
 01		m		30		4096

recipes/mercury_relief.recipe

@@ -28,8 +28,9 @@
 # DST_SRTM=no
 #
 # List of desired output resolution and chunk size.  Flag the source resolution with code == master
+# Given dimension  23040 x 11520 we have spacing of 56.25 arc seconds as master and 12x6 tiles
 # res	unit	tile	chunk	code
-56		s		30		4096	master
+56.25	s		30		4096	master
 01		m		30		4096
 02		m		60		4096
 03		m		90		2048

recipes/moon_relief.recipe

@@ -1,5 +1,5 @@
 # Recipe file for down-filtering LOLA
-# 2023-01-03 PW
+# 2023-01-09 PW
 #
 # We use a precision of 0.5 m with a zero offset to fit the range of -9128.5 to 10781.5 in 16-bit ints
 #
@@ -28,8 +28,9 @@
 # DST_SRTM=no
 #
 # List of desired output resolution and chunk size.  Flag the source resolution with code == master
+# Given dimension  92160 x 46080 we have spacing of 114.0625 arc seconds as master and 36x18 tiles
 # res	unit	tile	chunk	code
-14		s		10		4096	master
+14.0625	s		10		4096	master
 15		s		10		4096
 30		s		15		4096
 01		m		30		4096

recipes/pluto_relief.recipe

@@ -28,8 +28,9 @@
 # DST_SRTM=no
 #
 # List of desired output resolution and chunk size.  Flag the source resolution with code == master
+# Given dimension  24888 x 12444 we have spacing of 52.07... arc seconds as master and 12x6 tiles
 # res	unit	tile	chunk	code
-52		s		15		4096	master
+52.0732883317		s		30		4096	master
 01		m		30		4096
 02		m		60		4096
 03		m		90		2048

recipes/venus_relief.recipe

@@ -1,5 +1,5 @@
 # Recipe file for down-filtering Magellan
-# 2023-01-07 PW
+# 2023-01-09 PW
 #
 # We use a precision of 0.5 m with a 4000 m offset to fit the range of -2951 to 11687 in 16-bit ints
 #
@@ -28,7 +28,15 @@
 # DST_SRTM=no
 #
 # List of desired output resolution and chunk size.  Flag the source resolution with code == master
+# Given dimension  8192 x 4096 we have spacing of 2.63... arc minutes as master and 6x4 tiles
 # res	unit	tile	chunk	code
-23		m		0		4096	master
+2.63671875		m		60		4096	master
+03		m		90		2048
+04		m		180		2048
+05		m		180		2048
+06		m		0		4096
+10		m		0		4096
+15		m		0		4096
+20		m		0		4096
 30		m		0		4096
 01		d		0		4096

scripts/get_prefix_func.sh

@@ -1,17 +1,20 @@
 #!/bin/bash
-# Function that creates tile label
+# Function that creates tile label in integer degrees W/S
 
 function get_prefix  () {       # Takes west (in -180/180 range) and south and makes the {N|S}yy{W|E}xxx prefix
-	if [ $1 -ge 0 ]; then
-		X=$(printf "E%03d" $1)
+	# Get nearest integer degrees
+	W=$(gmt math -Q $1 RINT =)
+	S=$(gmt math -Q $2 RINT =)
+	if [ $W -ge 0 ]; then
+		X=$(printf "E%03d" $W)
 	else
-		t=$(gmt math -Q $1 NEG =)
+		t=$(gmt math -Q $W NEG =)
 		X=$(printf "W%03d" $t)
 	fi
-	if [ $2 -ge 0 ]; then
-		Y=$(printf "N%02d" $2)
+	if [ $S -ge 0 ]; then
+		Y=$(printf "N%02d" $S)
 	else
-		t=$(gmt math -Q $2 NEG =)
+		t=$(gmt math -Q $S NEG =)
 		Y=$(printf "S%02d" $t)
 	fi
 	echo ${Y}${X}

scripts/srv_downsampler_grid.sh

@@ -10,6 +10,13 @@
 # title, radius of the planetary body, desired node registration and resolutions,
 # desired output grid format and name prefix, and filter type, etc.  Thus, this
 # script should handle data from different planets.
+# Note: If the highest resolution grid is not an integer unit then some exploration
+# needs to be done to determine what increment and tile size give an integer number
+# of tiles over 360 and 180 ranges.  E.g., below is the master line for mars_relief
+# (which had 200 m pixels on Mars spheroid) and earth_relief (which as 15s exactly):
+#	12.1468873601	s		25.7142857143		4096	master
+#	15				s		10					4096	master
+# Easiest to work with number of rows and find suitable common factors.
 
 if [ $# -eq 0 ]; then
 	echo "usage: srv_downsampler_grid.sh recipefile"
@@ -161,11 +168,12 @@ while read RES UNIT DST_TILE_SIZE CHUNK MASTER; do
 		echo "Bad resolution $RES - aborting"
 		exit -1
 	fi
-	if [ ! ${RES} = "01" ]; then	# Use plural unit
+	IRES=$(gmt math -Q ${RES} FLOOR =)
+	if [ ${IRES} -gt 1 ]; then	# Use plural unit
 		UNIT_NAME="${UNIT_NAME}s"
 	fi
 	for REG in ${DST_NODES}; do # Probably doing both pixel and gridline registered output, except for master */
-		DST_FILE=${DST_PLANET}/${DST_PREFIX}/${DST_PREFIX}_${RES}${UNIT}_${REG}.grd
+		DST_FILE=${DST_PLANET}/${DST_PREFIX}/${DST_PREFIX}_${IRES}${UNIT}_${REG}.grd
 		grdtitle="${TITLE} at ${RES} arc ${UNIT_NAME}"
 		# Note: The ${SRC_ORIG/+/\\+} below is to escape any plus-symbols in the file name with a backslash so grdedit -D will work
 		if [ -f ${DST_FILE} ]; then	# Do nothing
@@ -177,7 +185,7 @@ while read RES UNIT DST_TILE_SIZE CHUNK MASTER; do
 				remark="Reformatted from master file ${SRC_ORIG/+/\\+} [${REMARK}]"
 				gmt grdedit ${DST_FILE} -D+t"${grdtitle}"+r"${remark}"+z"${SRC_NAME} (${SRC_UNIT})"
 			fi
-		elif [ "${UNIT}" = "s" ] && [ ${RES} -le 30 ]; then # Special handling of xxs -> 15s or 30s filter due to 64-bit bug in grdfilter?
+		elif [ "${UNIT}" = "s" ] && [ ${IRES} -le 30 ]; then # Special handling of xxs -> 15s or 30s filter due to 64-bit bug in grdfilter?
 			# See https://github.com/GenericMappingTools/remote-datasets/issues/32 - we do south and north hemisphere separately
 			# Get suitable Gaussian full-width filter rounded to nearest 0.01 km after adding 50 meters for noise
 			echo "Down-filter ${SRC_FILE} to ${DST_FILE}=${DST_MODIFY}"

scripts/srv_downsampler_image.sh

@@ -10,6 +10,13 @@
 # format, radius of the planetary body, desired node registration and resolutions,
 # name prefix, and filter type, etc.  Thus, this script should handle images from
 # different planets.
+# Note: If the highest resolution image is not an integer unit then some exploration
+# needs to be done to determine what increment and tile size give an integer number
+# of tiles over 360 and 180 ranges.  E.g., below is the master line for mars_relief
+# (which had 200 m pixels on Mars spheroid) and earth_relief (which as 15s exactly):
+#	12.1468873601	s		25.7142857143		4096	master
+#	15				s		10					4096	master
+# Easiest to work with number of rows and find suitable common factors.
 
 if [ $# -eq 0 ]; then
 	echo "usage: srv_downsampler_image.sh recipefile"
@@ -102,10 +109,11 @@ while read RES UNIT TILE MASTER; do
 		echo "Bad resolution $RES - aborting"
 		exit -1
 	fi
-	if [ ! ${RES} = "01" ]; then	# Use plural unit
+	IRES=$(gmt math -Q ${RES} FLOOR =)
+	if [ ${IRES} -gt 1 ]; then	# Use plural unit
 		UNIT_NAME="${UNIT_NAME}s"
 	fi
-	DST_FILE=${DST_PLANET}/${DST_PREFIX}/${DST_PREFIX}_${RES}${UNIT}.tif
+	DST_FILE=${DST_PLANET}/${DST_PREFIX}/${DST_PREFIX}_${IRES}${UNIT}.tif
 	if [ -f ${DST_FILE} ]; then	# Do nothing
 		echo "${DST_FILE} exist - skipping"
 	elif [ "X${MASTER}" = "Xmaster" ]; then # Just make a copy of the master to a new output file

scripts/srv_tiler.sh

@@ -16,6 +16,14 @@
 # NOTE: We will ONLY look for the global files on this local machine.  We first
 # look in the staging/<planet> directory, and if not there then we look in the
 # users server directory.
+#
+# Note: If the highest resolution grid is not an integer unit then some exploration
+# needs to be done to determine what increment and tile size give an integer number
+# of tiles over 360 and 180 ranges.  E.g., below is the master line for mars_relief
+# (which had 200 m pixels on Mars spheroid) and earth_relief (which as 15s exactly):
+#	12.1468873601	s		25.7142857143		4096	master
+#	15				s		10					4096	master
+# Easiest to work with number of rows and find suitable common factors.
 
 if [ $# -eq 0 ]; then
 	echo "usage: srv_tiler.sh recipe [-f]"
@@ -110,12 +118,13 @@ while read RES UNIT DST_TILE_SIZE CHUNK MASTER ; do
 	fi
 	for REG in ${DST_NODES}; do # Probably doing both pixel and gridline registered output, except for master */
 		# Name and path of grid we wish to tile
-		DST_TILE_TAG=${DST_PREFIX}_${RES}${UNIT}_${REG}
+		IRES=$(gmt math -Q ${RES} FLOOR =)
+		DST_TILE_TAG=${DST_PREFIX}_${IRES}${UNIT}_${REG}
 		DST_FILE=${DST_TILE_TAG}.grd
 		if [ -f ${DATADIR}/${DST_FILE} ]; then # found locally
 			DATAGRID=${DATADIR}/${DST_FILE}
 		else 	# Get it via local server files
-			DATAGRID=~/.gmt/server/${DST_PREFIX}_${RES}${UNIT}_${REG}.grd
+			DATAGRID=~/.gmt/server/${DST_PREFIX}_${IRES}${UNIT}_${REG}.grd
 		fi
 		if [ ! -f ${DATAGRID} ]; then # No
 			echo "No such file to tile: ${DATAGRID}"
@@ -126,7 +135,8 @@ while read RES UNIT DST_TILE_SIZE CHUNK MASTER ; do
 		FILTER_WIDTH=$(gmt math -Q ${SRC_RADIUS} 2 MUL PI MUL 360 DIV $INC MUL 0.05 ADD 10 MUL RINT 10 DIV =)
 		# Compute number of tiles required for this grid given nominal tile size.
 		# We enforce square tiles by only solving for ny and doubling it for nx
-		if [ $DST_TILE_SIZE -gt 0 ]; then	# OK, we need to split the file into separate tiles
+		IDST_TILE_SIZE=$(gmt math -Q ${DST_TILE_SIZE} RINT =)
+		if [ ${IDST_TILE_SIZE} -gt 0 ]; then	# OK, we need to split the file into separate tiles
 			ny=$(gmt math -Q 180 ${DST_TILE_SIZE} DIV =)
 			nx=$(gmt math -Q ${ny} 2 MUL =)
 			n_tiles=$(gmt math -Q $nx $ny MUL =)
@@ -135,7 +145,7 @@ while read RES UNIT DST_TILE_SIZE CHUNK MASTER ; do
 			# Build the list of w/e/s/n for the tiles
 			gmt grdinfo ${DATAGRID} -I${DST_TILE_SIZE} -D -C > ${TMP}/wesn.txt
 			# Determine local temporary tile directory for this product
-			TILEDIR=./${DST_PLANET}/${DST_PREFIX}/${DST_PREFIX}_${RES}${UNIT}_${REG}
+			TILEDIR=./${DST_PLANET}/${DST_PREFIX}/${DST_PREFIX}_${IRES}${UNIT}_${REG}
 			rm -rf ${TILEDIR}
 			mkdir -p ${TILEDIR}
 			while read w e s n; do
@@ -156,7 +166,7 @@ while read RES UNIT DST_TILE_SIZE CHUNK MASTER ; do
 				MSG="${TITLE} at ${RES}x${RES} arc ${UNAME} reduced by Gaussian ${DST_MODE} filtering (${FILTER_WIDTH} km fullwidth)"
 			fi
 			printf "/server/%s/%s/\t%s_%s_%s/\t%s\t%s\t%s\t%s\t%4s\t%s\t%s\t-\t-\t%s\t%s [%s]\n" \
-				${DST_PLANET} ${DST_PREFIX} ${DST_PREFIX} ${TAG} ${REG} ${TAG} ${REG} ${DST_SCALE} ${DST_OFFSET} ${SIZE} ${DST_TILE_SIZE} ${creation_date} ${DST_CPT} "${MSG}" "${CITE}" >> ${DST_PREFIX}_server.txt
+				${DST_PLANET} ${DST_PREFIX} ${DST_PREFIX} ${TAG} ${IREG} ${TAG} ${REG} ${DST_SCALE} ${DST_OFFSET} ${SIZE} ${DST_TILE_SIZE} ${creation_date} ${DST_CPT} "${MSG}" "${CITE}" >> ${DST_PREFIX}_server.txt
 
 			# Move the tiled grid away from this tree
 			mkdir -p ${TOPDIR}/staging/tiled