PDS_VERSION_ID = PDS3 RECORD_TYPE = STREAM SPACECRAFT_NAME = "MARS GLOBAL SURVEYOR" TARGET_NAME = "MARS" OBJECT = TEXT NOTE = "MOC SOFTWARE INTERFACE STANDARDS DOCUMENT" INTERCHANGE_FORMAT = ASCII PUBLICATION_DATE = 1999-10-01 END_OBJECT = TEXT END Mars Orbiter Camera Software Interface Specification Narrow Angle and Wide Angle Standard Data Products M. Caplinger Malin Space Science Systems, Inc. Approved by: _________________________ M. Malin, Principal Investigator September 1999 (revised for MGS) (formatted April 7, 2000) 1. Introduction 1.1. Purpose This document describes the format of the Mars Orbiter Cam- era (MOC, previously known as the Mars Observer Camera) Nar- row Angle (NA) and Wide Angle (WA) Standard Data Products. 1.2. Scope The format and content specifications in this SIS apply to all phases of the project for which this product is avail- able. 1.3. Applicable Documents Mars Global Surveyor Science Data Management Plan (JPL 542- 310) Mars Global Surveyor Project Archive Generation, Validation and Transfer Plan (JPL 542-312) Mars Global Surveyor Project Data Management Plan (JPL 542- 403) Mars Observer Camera Software User's Guide (Part 1: Flight Software) Mars Observer Camera Instrument Template (I-Kernel PDS docu- ment) Mars Observer Project Archive Policy and Data Transfer Plan, 642-447. Planetary Science Data Dictionary Document, PDS Version 2.0, May 1991. Margaret Cribbs, "Comments on the MOC label", IOM# 361-92- MAC016, 2 April 1992. 1.4. Functional Description 1.4.1. Data Content Summary Each MOC Standard Data Product is a single image in the compressed format as delivered from the instrument. The data have been depacketized and reformatted with standard labels, but are otherwise "raw"; that is, as received from the instrument. In that sense these products are most closely analogous to the Experiment Data Record (EDR) pro- ducts of previous missions. September 1999 (revised for MGS) 1 The only formatting differences between Narrow and Wide Angle products are the maximum possible width of the image (2048 for the Narrow Angle and 3456 for the Wide Angle) and the presence or values of some of the keywords; the products are otherwise formatted identically. 1.4.2. Source and Transfer Method MOC products are produced by the `makepds' program from the format internally used at the MOC Mission Operations Facil- ity (MOF). This program reads a raw MOC Science Data Proto- col (MSDP) file (see the MOC Software User's Guide), extracts some information from its headers, formats and attaches the PDS labels, and appends the compressed fragment data. It is expected that there will be two ways to receive MOC products: by electronic file transfer from the Planetary Data System, and on some archival medium such as CD-ROM. 1.4.3. Recipients and Utilization These products will be available to MOC team members, the Mars Global Surveyor science community, the planetary sci- ence community, and other interested parties. Descriptions of data rights and proprietary periods are beyond the scope of this document, and are discussed in the Mars Global Sur- veyor Project Archive Policy and Data Transfer Plan, and in unique Operational Interface Agreements between the MOC Sci- ence Team and other parties. These products will be used for engineering support, direct science analysis, or the construction of other science pro- ducts. 1.4.4. Pertinent Relationships with Other Interfaces See the MOC Software User's Guide for descriptions of other interfaces. 1.5. Assumptions and Constraints Note that this file contains compressed image data. Decompression will result in a raw image that is not corrected for instrument signature, effects of spacecraft motion, or the effects of imaging geometry. Although there is enough information in the header to do some processing, for more sophisticated processing ancillary files will be required. These ancillary files are not described in this document. Examples of ancillary files are calibration files, viewing geometry files (e.g., SPICE kernels), image index tables, etc. September 1999 (revised for MGS) 2 2. Environment 2.1. Hardware Characteristics and Limitations 2.1.1. Special Equipment and Device Interfaces Interfaces to access either CD-ROM volumes or electronic file transfer are described elsewhere; for example, see TBD. 2.1.2. Special Setup Requirements None. 2.2. Interface Medium Characteristics 2.3. Failure Protection, Detection, and Recovery Raw instrument telemetry will be archived by JPL on CD-ROM. These archives and depacketized compressed image data will be archived at the MOC MOF. 2.4. End-of-File Conventions End-of-file labeling shall comply with SFDU standards; specifically, fixed-size records are used, the header expli- citly contains the record offset of each subelement of the dataset, and the size of each subelement can be computed from information in the header. 3. Access 3.1. Access Tools Included on each CD-ROM volume will be a tool (derived from the MOC Ground Data System `readmsdp' program) that decompresses this format into a standard PDS-format image. The tool will be provided in source code form and as execut- ables for several platforms. 3.2. Input/Output Protocols None identified. 3.3. Timing and Sequencing Characteristics None. 4. Detailed Interface Specifications 4.1. Labeling and Identification The dataset ID is MGS-M-MOC-2-WASDP-L0-V1.0 for WA products and MGS-M-MOC-2-NASDP-L0-V1.0 for NA products. September 1999 (revised for MGS) 3 Each product will have a file name of the form ".IMQ", where the ID is not to exceed 8 characters, will start with an alphabetic character, and will consist only of alphanumeric characters. The file name will be unique across all MOC data product files. For mapping-phase images, the ID will be of the form PPPNNNNN, where PPP is a mission phase descriptor and NNNNN is the image index within that mission phase. Case is not significant; under the Unix operating system, the names will be considered to be in all lower-case. 4.2. Structure and Organization Overview All MOC images must be a multiple of 16 pixels in both width and height. Images are broken up into subimages (also called fragments), and each fragment is transmitted separately. Raw and predictively compressed images are reconstructed by concatenating all of their image fragments and then processing; transform compressed images are pro- cessed a fragment at a time. A MOC data product consists of one image. A header identi- fies various properties of the image and contains a file offset to the compressed data portion of the image. The compressed data are then appended to the end of the file. PDS_VERSION_ID PDS3 FILE_NAME "filename" RECORD_TYPE FIXED_LENGTH RECORD_BYTES nnnn FILE_RECORDS nn LABEL_RECORDS nn ^IMAGE nn SPACECRAFT_NAME MARS_GLOBAL_SURVEYOR MISSION_PHASE_NAME MAPPING TARGET_NAME MARS INSTRUMENT_ID MOC PRODUCER_ID MGS_MOC_TEAM DATA_SET_ID MGS-M-MOC-2-NA/WA-SDP-L0-V1.0 PRODUCT_CREATION_TIME yyyy-mm-ddThh:mm:ss.fff SOFTWARE_NAME "id-string" UPLOAD_ID "version-id" PRODUCT_ID "product-id" START_TIME yyyy-mm-ddThh:mm:ss.fff IMAGE_TIME yyyy-mm-ddThh:mm:ss.fff SPACECRAFT_CLOCK_START_COUNT "sclk-string" SPACECRAFT_CLOCK_STOP_COUNT "N/A" FOCAL_PLANE_TEMPERATURE ff.fff GAIN_MODE_ID "gain-id" OFFSET_MODE_ID "offset-id" LINE_EXPOSURE_DURATION ff.ffffff DOWNTRACK_SUMMING nn September 1999 (revised for MGS) 4 CROSSTRACK_SUMMING nn EDIT_MODE_ID "nnnn" FILTER_NAME RED or BLUE LINE_EXPOSURE_DURATION ff.fff RATIONALE_DESC string DATA_QUALITY_DESC "OK" or "ERROR" ORBIT_NUMBER nnnnn OBJECT IMAGE ENCODING_TYPE "moc-compression-type" LINES nnn LINE_SAMPLES 0 LINE_SUFFIX_BYTES 0 SAMPLE_TYPE UNSIGNED_INTEGER SAMPLE_BITS 8 SAMPLE_BIT_MASK 2#11111111# CHECKSUM 16#xxxx# END_OBJECT END 4.3. Substructure Definition and Format PDS_VERSION_ID The PDS version number for the header format; e.g., PDS3. FILE_NAME The file name for these products; see above. RECORD_TYPE The record type; always FIXED_LENGTH for these pro- ducts. RECORD_BYTES The number of bytes per record. For these products, 2048. FILE_RECORDS The total number of records in this file. The last record will be padded with zeros if necessary. LABEL_RECORDS The number of records used for header data. If needed, the last record of the header will be padded with blanks. ^IMAGE A pointer to the starting record of the compressed image file. SPACECRAFT_NAME Always MARS_GLOBAL_SURVEYOR. September 1999 (revised for MGS) 5 MISSION_PHASE_NAME Name of the mission phase; e.g., MAPPING. TARGET_NAME The name of the target body; typically MARS. PRODUCER_ID Always MGS_MOC_TEAM. DATA_SET_ID MGS-M-MOC-2-WASDP-L0-V1.0 for WA products and MGS-M- MOC-2-NASDP-L0-V1.0 for NA products. PRODUCT_CREATION_TIME Time and date of this file's creation. Note that this time is the time of this file's creation in this for- mat, and does not reflect the acquisition time or the time of any other processing that may be associated with this product. SOFTWARE_NAME Identifier of the version of the MOC Ground Data System software that created this product. UPLOAD_ID Identifier of the command file used to acquire this image. PRODUCT_ID (This field replaces the earlier IMAGE_ID field.) This uniquely identifies this MOC product among all MOC pro- ducts. The MOC product ID format is CCCC/NNNNN, where CCCC is a string descriping the mission subphase and NNNNN is image number in that subphase; e.g., "FHGA/00013". START_TIME, IMAGE_TIME SCET (UTC) time at start of image acquisition, as com- manded. These two fields are always the same. (IMAGE_TIME is included for compatibility with earlier non-MOC products.) SPACECRAFT_CLOCK_START_COUNT Value of spacecraft clock at the actual start of image acquisition. There may be small inconsistencies with START_TIME due to varying correlation between UTC and the spacecraft clock. For purposes of data analysis the spacecraft clock value should be used. The format of this field is compatible with the NAIF Toolkit software (e.g., "00610499:32") The corresponding STOP_COUNT is not applicable because the timing of a MOC image, once started, is independent of the space- craft clock. September 1999 (revised for MGS) 6 The following information can be used, along with calibra- tion files to be included on the volume, to calibrate each image. This information is in some sense redundant with that in the E-kernel. FOCAL_PLANE_TEMPERATURE Temperature of focal plane of optical system associated with this image, in degrees Kelvin, at the start of image acquisition. GAIN_MODE_ID The MOC gain setting in hexadecimal. OFFSET_MODE_ID The MOC offset in integer steps of 5 DN. LINE_EXPOSURE_DURATION Per-line exposure duration in units of milliseconds. The time a given line was acquired can be determined by multiplying the line exposure time by the number of previous lines and adding it to the image start time. Note that the NA implements downtrack summing by increasing the line time; for example, a 2X2 summed image has an actual line time twice that given by this field. DOWNTRACK_SUMMING, CROSSTRACK_SUMMING The MOC can do pixel averaging in the instrument before transmission. For the NA, this must range from 1 (no summing) to 8x summing, and downtrack and crosstrack summing must be equal. For the WA, downtrack and crosstrack summing range from 1 to 127, and can be dif- ferent. EDIT_MODE_ID The edit mode is the first pixel of the CCD sampled for the image acquisition, and thus specifies the off-nadir look angle. For WA products, the special value 3456 indicates that the leading dark reference pixels were acquired as the first eight pixels of each line; the special value 3472 indicates that the trailing dark reference pixels were acquired as the last eight pixels of each line. For WA products, if dark pixels were acquired and compression was enabled, the dark refer- ence pixels are compressed and included in the data. An EDIT_MODE_ID value of "0" refers to the first pixel in the array. FILTER_NAME Either RED for the red Wide Angle or BLUE for the blue Wide Angle. Does not appear for NA products. September 1999 (revised for MGS) 7 RATIONALE_DESC A text description of the scientific purpose for the acquisition of this image; e.g., "Monthly monitoring of aeolian features on summit of Pavonis Mons" For some specific images, this string will contain a description of the image as actually received; for routine mapping operations, it will more likely be the goal of the image as targeted (which may not be met if the image missed its target significantly, the atmosphere was cloudy, gain parameters were set inappropriately, etc.) DATA_QUALITY_DESC This field will be set to "OK" if all fragments of the image are received without detected checksum or sequence errors, and "ERROR" otherwise. ORBIT_NUMBER The orbit number from the start of the mapping phase as defined by the MGS Project. The following describe keywords found internal to the IMAGE object. ENCODING_TYPE one of "NONE" for raw images, "MOC-PRED-- " for predictive compression, "MOC-DCT- " for DCT compression, or "MOC-WHT-" for WHT compression. LINES Number of lines in the decompressed image. LINE_SAMPLES Number of samples per line in the decompressed image. (Each image in the file must have the same number of samples.) LINE_PREFIX_BYTES Number of bytes of prefix information per line. This field is always 0 for MOC products. LINE_SUFFIX_BYTES Number of bytes of suffix information per line. This field is always 0 for MOC products. SAMPLE_TYPE Type of each sample; for MOC, always UNSIGNED_INTEGER. SAMPLE_BITS Number of bits for each sample; for MOC, always 8. September 1999 (revised for MGS) 8 SAMPLE_BIT_MASK Bit mask description for each sample; for MOC, always 2#11111111#. CHECKSUM This is a checksum for the entire data part of this image, to be used for data validation. Because most MOC compression is lossy, there is not a unique decompressed image, so there is no way to provide a checksum for the decompressed data. 4.3.1. Header/Trailer Description Details See above. No trailers are present. 4.3.2. Data Description Details 4.3.2.1. Geometry Note that MOC images are acquired and compressed in row- major order by increasing time. The arrangement of CCDs and optics in the MOC somewhat complicates the mapping of pixel to surface feature. Suppose an image acquired while the spacecraft was moving south to north were displayed in left-to-right, top-to-bottom order on a monitor. For MOC A, the red WA image would have east at the left, and the NA and blue WA would have west at the left. The situation for the MOC B half-system is complex. The MOC B NA would have east at the left, because its CCD is flipped relative to MOC A's. The optical arrangements of the WAs are obviously still the same, but the wide angles are interchanged in a wiring sense on MOC B. However, the flight software compensates for this such that the WA images are the same from both systems. The following table shows the compass direction on the planet that appears on the left side of an image as defined above. NA WA red WA blue MOCA west east west MOCB east east west It is suggested that ancillary products be used to systemat- ically display images in north-up, west-left form. The decompression tool does not perform this transformation. 4.3.2.2. Internal header The compressed image portion of the file consists of the concatenated MOC Science Data Protocol (MSDP) "fragments" received from the instrument (see the MOC Flight Software User's Guide for details.) Each fragment begins with a 62- September 1999 (revised for MGS) 9 byte header and ends with a 1-byte checksum, according to the following format: Offset Length Name Definition (Octet) (Octet) 0 2 SDID The ID number of the entire image. 2 2 SDNUM The subimage number of this datagram. 4 2 SDOFF The offset downtrack of this datagram. 6 2 SDLINE The length downtrack of this datagram. 8 5 SDTIME The timestamp of the start of the entire image. 13 1 SDSTAT Some of this datagram's status. 14 17 SDCMD The command that caused the entire image. 31 5 SDCTXT The context image parameters. 36 2 SDGO The camera gain and offset at the start of the entire image. 38 2 EMPTY 40 2 SDDOWN The number of lines downtrack in the entire image. 42 2 SDEDIT The crosstrack editing performed. 44 8 SDCOMP The compression table entry used for the entire image. 52 2 SDSENS The sensor values associate with the entire image. 54 4 SDOTHER The clocking rate of the camera CCD and dark reference pixel flag at the start of the entire image. 58 4 SDLEN The number of octets in SDDAT part of this datagram. 62 SDLEN SDDAT The data portion of this datagram. 62+SDLEN 1 SDCS The checksum redundancy of this datagram. Note that all integer values appear in "little-endian" (i.e., least significant byte lower in memory) order. For the purposes of decompressing the data, only the SDLEN and SDCOMP fields are used. See the source code for the decompression tool for details. Other fields are redundant with the labels of the file; the entire header is stored in this product only for simplicity. 4.3.2.3. Raw data A raw MOC image is broken up into fragments containing 245760 (240K) bytes of image data (except for the last frag- ment in an image.) An individual fragment need not contain an integral number of lines of data. The entire image can be reconstructed by concatenating the data segments of all fragments. Dark reference pixels can only be acquired for raw images. If they were acquired for the NA, they appear as the first four pixels on each line. For the WA, they appear as either the first eight or last eight pixels on each line. September 1999 (revised for MGS) 10 4.3.2.4. Transform compression A transform-compressed MOC image is broken up into a collec- tion of 16x16-pixel regions called transform blocks, which are ordered in column-major order (top-to-bottom, then left-to-right.) Each image is broken up into fragments such that each image fragment is a multiple of 16 lines in size and fits, decompressed, into no more than 240 Kbytes. Each compressed fragment is transmitted separately. As transmitted, the transform block consists of the 256 Discrete Cosine Transform (DCT) or Walsh-Hadamard Transform (WHT) coefficients resulting from application of the 2D DCT or WHT to the original input pixel values. With the excep- tion of the DC term, these coefficients are requantized (by division by a constant factor) and those coefficients suffi- ciently close to zero are "truncated" (omitted), starting with the high-frequency coefficients. Each coefficient position has one of 8 fixed Huffman encoding schemes assigned to it, and the coefficients are transmitted in encoded form. Truncation and transmission are done based on "radial" ordering; see Appendix A for the table mapping 1-D radial order to 2-D frequency order. Note that each transform block is assigned to a group. Dif- ferent groups are determined to be sufficiently different to have different encoding statistics. The number of groups for a given compressed fragment is set by ground command and must be in the range [1,8]. A group may be empty (that is, have no transform blocks in it.) The DC coefficient is optimally requantized into 8 bits and is transmitted in unencoded form. The coefficients, once decoded, are represented as 16-bit signed integers, with the exception of the DC coefficient, which should be treated as 16-bit unsigned. The Huffman encoding schemes encode 16-bit signed values into variable-length bit strings with a maximum length of 24 bits. Coefficients that exceed the range of the encoding scheme are encoded with a distinguished "too negative" or "too positive" code followed by the 15 bits of the coeffi- cient (since the sign is implied by the escape code, it is not output.) The coefficient encoding schemes are given in Appendix B. The data part of the fragment consists of for each block 3 bits indicating the group the block was placed September 1999 (revised for MGS) 11 into. for each group with non-zero occupancy 16 bits minimum DC coefficient in group 16 bits maximum DC coefficient in group for each coefficient in a transform block 3 bits specifying the Huffman encoding to be used (from the 8 available) for each block in this group 8 bits DC coefficient (using max and min DC, can be reconstructed into 16-bit form) 8 bits number of zero-truncated coefficients for each untruncated coefficient (in radial order) 1 to 24 bits Huffman encoded coeffi- cient, or escape code and literal coefficient After decoding, each AC coefficient must be multiplied by the requantization factor for this fragment, the block is reordered, and then the whole block is run through the inverse DCT or WHT to create the final 8-bit output block. A generic inverse DCT algorithm is given in Appendix C; we do not expect to use the WHT frequently during MOC opera- tions, but it is included for completeness. The final byte is padded with "0" bits. 4.3.2.5. Predictive compression A predictively-compressed MOC image is broken up into frag- ments containing 240 Kbytes of compressed data (except for the last fragment in an image.) An individual fragment need not contain an integral number of lines of data. (The image width will be referred to as W.) The data consists of two kinds of lines: compressed lines and sync lines. Sync lines are output every 128 lines and the first line output is a sync line. A sync line consists of 0 to 15 bits of "0" bits to pad the data stream to a word boundary 16 bits of sync code (two bytes, 0xca 0xf0) September 1999 (revised for MGS) 12 W 8-bit requantized image pixels Errors in the downlink caused by dropped packets or bit errors can be compensated for by locating the next sync line (by searching forward for the 16-bit sync pattern) and res- tarting the decompression process. Otherwise, a single error could potentially ruin the rest of the image. A compressed line consists of W 1- to 15-bit Huffman-coded difference values Note that lines, either sync or compressed, can cross frag- ment boundaries. Difference values are calculated as follows: X: delta = cur - left Y: delta = cur - up XY: delta = cur + diag - up - left where the pixels are oriented thus: diag up left cur Though difference values are encoded statistically as signed 8-bit quantities with values from -128 to +127, they should be treated as unsigned 8-bit numbers in all differencing calculations. All calculations are performed modulo-256. This allows lossless encoding of all 8-bit input images. Higher-rate, lossy predictive compression is supported by requantization of difference values. This requantization is performed by table lookup. Before a difference value is encoded, it is replaced by the value contained in the difference value's slot in the requantization table. Subse- quently, the compressor behaves as though the difference value was the new, requantized value. (Note, however, that the encoding table lookup is done with the difference value prior to requantization. This means that the encoding table must have 256 entries even when requantization restricts the number of entries to less than 256.) The fixed Huffman encoding tables and the requantization tables are given in Appendix D. An algorithm to convert the tables to tree form is given in Appendix E. 4.3.2.6. Global map swaths Although files containing global map swaths have a single field for CROSSTRACK_SUMMING, variable summing is actually applied within the MOC to maintain approximately equal September 1999 (revised for MGS) 13 spatial resolution from nadir to limb. There are two defined modes for the global map: 7.5 km/pixel nominal (CROSSTRACK_SUMMING = 27) and 3.75 km/pixel (CROSSTRACK_SUMMING = 13). The variable crosstrack-summing tables used for these two modes are given in appendix F. 4.3.3. Data loss considerations During the MGS mission to date, error-free transmission of the instrument data to Earth has not been provided. The MOC protocols (in particular, the formats for compressed image data, which are partially implemented in hardware) were designed for the bit error rates stated during mission plan- ning and development. These rates were based on the link margin and Reed-Solomon encoding of the data, and were very low except during periods of equipment malfunction or poor weather at the DSN stations. In practice, many unantici- pated error sources, most in the Earth segment of the com- munications link or caused by non-random operational sources, have significantly degraded the quality. As a result, considerable data losses were incurred in the image data. The majority of effort in archiving the pre-mapping data was expended to minimize the effects of this data loss. MOC image data are broken up on transmission into 'packets' of approximately 1000 bytes. A typical data loss is that of one or two packets, due to uncorrectable bit errors caused by noise in the space-to-Earth communications path (rare), momentary loss of receiver lock caused by a transition between the one-way and two-way tracking modes, or loss in the Earth segment of the Deep Space Network. For uncompressed images, a packet loss leads to loss of 'line sync' in the image. Since the amount of actual image data in a packet is variable and cannot be determined pre- cisely without the packet, such errors must be corrected by hand. The majority of NA images were acquired using the lossless predictive compression mode of the MOC. However, when a packet is lost from this compressed data stream, the decompression algorithm cannot realign itself to the compressed pixel boundaries, and must skip ahead to the next sync marker, which occurs only every 128 lines in the image. The effect of decompressing the data between the site of packet loss and the next sync marker is unpredictable, but usually results in either semi-random variations in pixel brightness (with the general morphology of the original image still visible) or essentially random noise patterns. A second type of loss is that of tens or hundreds of packets caused by bad weather, hardware failure, or operator error at the DSN stations, or miscommanding of the telemetry play- back on the spacecraft. For these errors in a compressed data stream, over 128 lines of the image were lost, making September 1999 (revised for MGS) 14 it impossible to recover even the original downtrack size of the image. The MOC ground software that produces the archival data, and the decompression tool provided, may perform some limited correction of these errors. Correct and complete recon- struction should only be expected if there are no detected checksum errors or sequence gaps in the data; i.e., if the DATA_QUALITY_DESC field is "OK". 4.4. Volume, Size, and Frequency Estimates The total volume of MOC data to be returned was planned at the start of the mission to be approximately 45 GBytes. The extension of the mission due to the solar panel and high- gain antenna problems has affected this volume in a yet-to- be-determined manner. Volume returned varies as a function of the available data rate; see the Archive Policy and Data Management Plan for more details. It is not known what fraction of total MOC return will be used for products of a particular type (e.g., NA or WA). It is also not known what average amounts of compression will be used, although a nominal value of 5:1 was expected prior to operations. In practice, to date the 2:1 lossless mode has been used for the majority of NA images. 5. Appendix A: radial order translation table (IPSLib/reorder.static.h from the flight software.) static uint8 trans[256] = { 0, 1, 4, 9, 15, 22, 33, 43, 56, 71, 86,104,121,142,166,189, 2, 3, 6, 11, 17, 26, 35, 45, 58, 73, 90,106,123,146,168,193, 5, 7, 8, 13, 20, 28, 37, 50, 62, 75, 92,108,129,150,170,195, 10, 12, 14, 19, 23, 31, 41, 52, 65, 81, 96,113,133,152,175,201, 16, 18, 21, 24, 30, 39, 48, 59, 69, 83,100,119,137,158,181,203, 25, 27, 29, 32, 40, 46, 54, 67, 79, 94,109,127,143,164,185,210, 34, 36, 38, 42, 49, 55, 64, 76, 87,102,117,135,154,176,197,216, 44, 47, 51, 53, 60, 68, 77, 85, 98,114,131,147,162,183,208,222, 57, 61, 63, 66, 70, 80, 88, 99,112,124,140,159,179,199,214,227, 72, 74, 78, 82, 84, 95,103,115,125,139,156,173,190,211,224,233, 89, 91, 93, 97,101,110,118,132,141,157,171,186,206,220,231,239, 105,107,111,116,120,128,136,148,160,174,187,205,218,229,237,244, 122,126,130,134,138,144,155,163,180,191,207,219,226,235,242,248, 145,149,151,153,161,165,177,184,200,212,221,230,236,241,246,251, 167,169,172,178,182,188,198,209,215,225,232,238,243,247,250,253, 192,194,196,202,204,213,217,223,228,234,240,245,249,252,254,255, }; September 1999 (revised for MGS) 15 6. Appendix B: transform coefficient Huffman code tables (IPSLib/encodeCoefs.static.h from the flight software.) /* Number of valid bits (LSBs) in each entry in "code0" */ static uint8 num0[25] = { 24, 23, 20, 19, 16, 14, 13, 10, 8, 6, 5, 3, 1, 2, 4, 7, 9, 11, 12, 15, 17, 18, 21, 22, 24, }; /* Huffman code for encoding scheme 0, zero's code is index 12 */ static uint32 code0[25] = { 0xffffff,0x3fffff,0x07ffff,0x03ffff,0x007fff,0x001fff,0x000fff,0x0001ff, 0x00007f,0x00001f,0x00000f,0x000003,0x000000,0x000001,0x000007,0x00003f, 0x0000ff,0x0003ff,0x0007ff,0x003fff,0x00ffff,0x01ffff,0x0fffff,0x1fffff, 0x7fffff, }; /* Number of valid bits (LSBs) in each entry in "code1" */ static uint8 num1[47] = { 24, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 2, 2, 2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 24, }; /* Huffman code for encoding scheme 1, zero's code is index 23 */ static uint32 code1[47] = { 0xffffff,0xbfffff,0x5fffff,0x2fffff,0x17ffff,0x0bffff,0x05ffff,0x02ffff, 0x017fff,0x00bfff,0x005fff,0x002fff,0x0017ff,0x000bff,0x0005ff,0x0002ff, 0x00017f,0x0000bf,0x00005f,0x00002f,0x000017,0x00000b,0x000002,0x000001, 0x000000,0x000003,0x000007,0x00000f,0x00001f,0x00003f,0x00007f,0x0000ff, 0x0001ff,0x0003ff,0x0007ff,0x000fff,0x001fff,0x003fff,0x007fff,0x00ffff, 0x01ffff,0x03ffff,0x07ffff,0x0fffff,0x1fffff,0x3fffff,0x7fffff, }; /* Number of valid bits (LSBs) in each entry in "code2" */ static uint8 num2[69] = { 24, 24, 23, 23, 22, 22, 21, 20, 19, 19, 18, 17, 17, 16, 16, 15, 14, 14, 13, 12, 11, 11, 10, 9, 9, 8, 7, 7, 6, 6, 5, 4, 4, 3, 2, 3, 3, 4, 5, 5, 6, 7, 8, 8, 9, 10, 10, 11, 12, 12, 13, 13, 14, 15, 15, 16, 17, 18, 18, 19, 20, 20, 21, 21, September 1999 (revised for MGS) 16 22, 23, 23, 24, 24, }; /* Huffman code for encoding scheme 2, zero's code is index 34 */ static uint32 code2[69] = { 0xffffff,0xfffffd,0x7ffffe,0x3ffffd,0x1ffffe,0x1fffff,0x0fffff,0x07fffe, 0x03fffe,0x03ffff,0x01fffd,0x00fffe,0x00ffff,0x007ffe,0x007fff,0x003fff, 0x001ffe,0x001fff,0x000fff,0x0007fe,0x0003fe,0x0003ff,0x0001fe,0x0000fe, 0x0000ff,0x00007d,0x00003e,0x00003d,0x00001d,0x00001f,0x00000d,0x000005, 0x000007,0x000001,0x000000,0x000003,0x000002,0x000006,0x00000f,0x00000e, 0x00001e,0x00003f,0x00007f,0x00007e,0x0000fd,0x0001ff,0x0001fd,0x0003fd, 0x0007ff,0x0007fd,0x000ffd,0x000ffe,0x001ffd,0x003ffd,0x003ffe,0x007ffd, 0x00fffd,0x01ffff,0x01fffe,0x03fffd,0x07ffff,0x07fffd,0x0ffffd,0x0ffffe, 0x1ffffd,0x3fffff,0x3ffffe,0x7ffffd,0x7fffff, }; /* Number of valid bits (LSBs) in each entry in "code3" */ static uint8 num3[109] = { 23, 24, 24, 23, 23, 22, 22, 22, 21, 21, 21, 20, 20, 19, 19, 18, 18, 18, 17, 17, 16, 16, 16, 15, 15, 14, 14, 14, 13, 13, 13, 12, 12, 11, 11, 10, 10, 10, 9, 9, 9, 8, 8, 7, 7, 6, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 10, 10, 11, 11, 11, 12, 12, 12, 13, 13, 14, 14, 15, 15, 15, 16, 16, 17, 17, 17, 18, 18, 19, 19, 19, 20, 20, 20, 21, 21, 22, 22, 22, 23, 23, 24, 24, 23, }; /* Huffman code for encoding scheme 3, zero's code is index 54 */ static uint32 code3[109] = { 0x7fffff,0xfffffd,0xdfffff,0x7ffffe,0x3ffffd,0x3ffffc,0x1ffffe,0x3ffffb, 0x0ffffe,0x0ffffd,0x0ffffb,0x07fffd,0x07ffff,0x03fffc,0x03ffff,0x01fffc, 0x01fffe,0x01ffff,0x00fffe,0x00fffd,0x007ffc,0x007ffd,0x007ffb,0x003ffc, 0x003fff,0x001ffc,0x001ffd,0x001fff,0x000ffc,0x000ffd,0x000ffb,0x0007fd, 0x0007fb,0x0003fe,0x0003fd,0x0001fc,0x0001fd,0x0001ff,0x0000fc,0x0000ff, 0x0000fb,0x00007d,0x00007b,0x00003c,0x00003d,0x00001c,0x00001e,0x00001b, 0x00000e,0x00000f,0x000004,0x000006,0x000003,0x000002,0x000001,0x000000, 0x000007,0x000005,0x00000b,0x00000d,0x00000c,0x00001f,0x00001d,0x00003b, 0x00003f,0x00003e,0x00007f,0x00007e,0x00007c,0x0000fd,0x0000fe,0x0001fb, 0x0001fe,0x0003fb,0x0003ff,0x0003fc,0x0007ff,0x0007fe,0x0007fc,0x000fff, 0x000ffe,0x001ffb,0x001ffe,0x003ffb,0x003ffd,0x003ffe,0x007fff,0x007ffe, 0x00fffb,0x00ffff,0x00fffc,0x01fffb,0x01fffd,0x03fffb,0x03fffd,0x03fffe, 0x07fffb,0x07fffe,0x07fffc,0x0fffff,0x0ffffc,0x1ffffb,0x1ffffd,0x1ffffc, 0x1fffff,0x3ffffe,0x5fffff,0x7ffffd,0x3fffff, }; /* Number of valid bits (LSBs) in each entry in "code4" */ September 1999 (revised for MGS) 17 static uint8 num4[169] = { 22, 24, 24, 24, 24, 23, 23, 23, 23, 22, 22, 22, 22, 21, 21, 21, 21, 20, 20, 20, 20, 19, 19, 19, 19, 18, 18, 18, 18, 17, 17, 17, 17, 16, 16, 16, 16, 15, 15, 15, 15, 14, 14, 14, 14, 13, 13, 13, 13, 12, 12, 12, 12, 11, 11, 11, 11, 10, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 18, 18, 18, 18, 19, 19, 19, 19, 20, 20, 20, 20, 21, 21, 21, 21, 22, 22, 22, 22, 23, 23, 23, 23, 24, 24, 24, 24, 22, }; /* Huffman code for encoding scheme 4, zero's code is index 84 */ static uint32 code4[169] = { 0x3fffff,0xf7ffff,0xe7ffff,0xfdffff,0xfffffe,0x27ffff,0x7bffff,0x3dffff, 0x5ffffe,0x17ffff,0x1bffff,0x3ffffc,0x2ffffe,0x0bffff,0x0dffff,0x17fffc, 0x17fffe,0x03ffff,0x0ffffd,0x0bfffc,0x0bfffe,0x03fffd,0x05fffd,0x05fffc, 0x05fffe,0x02ffff,0x02fffd,0x02fffc,0x02fffe,0x017fff,0x017ffd,0x017ffc, 0x017ffe,0x00bfff,0x00bffd,0x00bffc,0x00bffe,0x005fff,0x005ffd,0x005ffc, 0x005ffe,0x002fff,0x002ffd,0x002ffc,0x002ffe,0x0017ff,0x0017fd,0x0017fc, 0x0017fe,0x000bff,0x000bfd,0x000bfc,0x000bfe,0x0005ff,0x0005fd,0x0005fc, 0x0005fe,0x0002ff,0x0002fd,0x0002fc,0x0002fe,0x00017f,0x00017d,0x00017c, 0x00017e,0x0000bf,0x0000bd,0x0000bc,0x0000be,0x00005f,0x00005d,0x00005c, 0x00005e,0x00002f,0x00002d,0x00002c,0x00002e,0x000017,0x000015,0x000014, 0x000016,0x000009,0x000008,0x00000a,0x000003,0x000002,0x000000,0x000001, 0x000006,0x000004,0x000005,0x000007,0x00000e,0x00000c,0x00000d,0x00000f, 0x00001e,0x00001c,0x00001d,0x00001f,0x00003e,0x00003c,0x00003d,0x00003f, 0x00007e,0x00007c,0x00007d,0x00007f,0x0000fe,0x0000fc,0x0000fd,0x0000ff, 0x0001fe,0x0001fc,0x0001fd,0x0001ff,0x0003fe,0x0003fc,0x0003fd,0x0003ff, 0x0007fe,0x0007fc,0x0007fd,0x0007ff,0x000ffe,0x000ffc,0x000ffd,0x000fff, 0x001ffe,0x001ffc,0x001ffd,0x001fff,0x003ffe,0x003ffc,0x003ffd,0x003fff, 0x007ffe,0x007ffc,0x007ffd,0x007fff,0x00fffe,0x00fffc,0x00fffd,0x00ffff, 0x01fffe,0x01fffc,0x01fffd,0x01ffff,0x03fffe,0x03fffc,0x07fffd,0x05ffff, 0x07fffe,0x07fffc,0x0ffffc,0x0fffff,0x0ffffe,0x1ffffc,0x1dffff,0x07ffff, 0x1ffffe,0x3ffffe,0x3bffff,0x37ffff,0x7ffffe,0x7dffff,0x67ffff,0x77ffff, 0x1fffff, }; /* Number of valid bits (LSBs) in each entry in "code5" */ static uint8 num5[247] = { September 1999 (revised for MGS) 18 21, 24, 24, 24, 24, 24, 24, 23, 23, 23, 23, 23, 23, 22, 22, 22, 22, 22, 22, 22, 21, 21, 21, 21, 21, 20, 20, 20, 20, 20, 20, 19, 19, 19, 19, 19, 19, 18, 18, 18, 18, 18, 18, 17, 17, 17, 17, 17, 17, 16, 16, 16, 16, 16, 16, 15, 15, 15, 15, 15, 15, 14, 14, 14, 14, 14, 14, 13, 13, 13, 13, 13, 13, 12, 12, 12, 12, 12, 12, 11, 11, 11, 11, 11, 11, 10, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 21, 21, 21, 21, 21, 21, 22, 22, 22, 22, 22, 22, 23, 23, 23, 23, 23, 23, 24, 24, 24, 24, 24, 24, 21, }; /* Huffman code for encoding scheme 5, zero's code is index 123 */ static uint32 code5[247] = { 0x1fffff,0xfffffd,0xfffffe,0xfffffa,0xff7ffa,0xfffffc,0xfffff8,0x5ffffd, 0x3ffffd,0x7fbffe,0x3f7ffa,0x5ffffc,0x3ffffc,0x37ffff,0x3fdffd,0x1fbffe, 0x1f7ffa,0x2ffffc,0x2ffff8,0x1ffff8,0x0ffffd,0x0fbffe,0x0ffffa,0x17fffc, 0x17fff8,0x0bffff,0x07fffd,0x07bffe,0x077ffa,0x0bfffc,0x0bfff8,0x05ffff, 0x03fffd,0x03fffe,0x037ffa,0x05fffc,0x05fff8,0x02ffff,0x01dffd,0x01fffe, 0x017ffa,0x02fffc,0x02fff8,0x017fff,0x00fffd,0x00fffe,0x007ffa,0x017ffc, 0x017ff8,0x00bfff,0x005ffd,0x003ffe,0x00bffa,0x00bffc,0x00bff8,0x005fff, 0x001ffd,0x005ffe,0x005ffa,0x005ffc,0x005ff8,0x002fff,0x002ffd,0x002ffe, 0x002ffa,0x002ffc,0x002ff8,0x0017ff,0x0017fd,0x0017fe,0x0017fa,0x0017fc, 0x0017f8,0x000bff,0x000bfd,0x000bfe,0x000bfa,0x000bfc,0x000bf8,0x0005ff, 0x0005fd,0x0005fe,0x0005fa,0x0005fc,0x0005f8,0x0002ff,0x0002fd,0x0002fe, 0x0002fa,0x0002fc,0x0002f8,0x00017f,0x00017d,0x00017e,0x00017a,0x00017c, 0x000178,0x0000bf,0x0000bd,0x0000be,0x0000ba,0x0000bc,0x0000b8,0x00005f, 0x00005d,0x00005e,0x00005a,0x00005c,0x000058,0x00002f,0x00002d,0x00002e, 0x00002a,0x00002c,0x000028,0x000017,0x000015,0x000019,0x000016,0x000012, 0x000014,0x000010,0x00000b,0x000001,0x000003,0x000000,0x000004,0x000002, 0x000006,0x000009,0x000005,0x000007,0x000008,0x00000c,0x00000a,0x00000e, 0x00000d,0x00000f,0x000018,0x00001c,0x00001a,0x00001e,0x00001d,0x00001f, September 1999 (revised for MGS) 19 0x000038,0x00003c,0x00003a,0x00003e,0x00003d,0x00003f,0x000078,0x00007c, 0x00007a,0x00007e,0x00007d,0x00007f,0x0000f8,0x0000fc,0x0000fa,0x0000fe, 0x0000fd,0x0000ff,0x0001f8,0x0001fc,0x0001fa,0x0001fe,0x0001fd,0x0001ff, 0x0003f8,0x0003fc,0x0003fa,0x0003fe,0x0003fd,0x0003ff,0x0007f8,0x0007fc, 0x0007fa,0x0007fe,0x0007fd,0x0007ff,0x000ff8,0x000ffc,0x000ffa,0x000ffe, 0x000ffd,0x000fff,0x001ff8,0x001ffc,0x001ffa,0x001ffe,0x003ffd,0x001fff, 0x003ff8,0x003ffc,0x003ffa,0x007ffe,0x007ffd,0x003fff,0x007ff8,0x007ffc, 0x00fffa,0x00bffe,0x00dffd,0x007fff,0x00fff8,0x00fffc,0x01fffa,0x01bffe, 0x01fffd,0x00ffff,0x01fff8,0x01fffc,0x03fffa,0x03bffe,0x03dffd,0x01ffff, 0x03fff8,0x03fffc,0x07fffa,0x07fffe,0x07dffd,0x03ffff,0x07fff8,0x07fffc, 0x0f7ffa,0x0ffffe,0x0fdffd,0x07ffff,0x0ffff8,0x0ffffc,0x1ffffa,0x1ffffe, 0x1fdffd,0x17ffff,0x3ffff8,0x1ffffc,0x3ffffa,0x3fbffe,0x3ffffe,0x1ffffd, 0x7ffff8,0x7ffffc,0x7f7ffa,0x7ffffa,0x7ffffe,0x7ffffd,0x0fffff, }; /* Number of valid bits (LSBs) in each entry in "code6" */ static uint8 num6[395] = { 21, 24, 24, 24, 24, 24, 24, 24, 24, 24, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, September 1999 (revised for MGS) 20 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 24, 24, 24, 24, 24, 24, 24, 24, 24, 21, }; /* Huffman code for encoding scheme 6, zero's code is index 197 */ static uint32 code6[395] = { 0x1fffff,0xfffffe,0xfffffc,0xfffff8,0xffbff8,0xfffffd,0xfffff9,0xfffffb, 0xfffff3,0xfffff7,0x7ffffa,0x5ffffe,0x3ffffc,0x7fdffc,0x3ffff8,0x5ffffd, 0x3ffffd,0x6ffffb,0x3ffffb,0x5ffff7,0x1ffffa,0x3feffa,0x3fdffe,0x1fdffc, 0x1ffff8,0x2ffffd,0x2ffff9,0x0ffffb,0x1ffffb,0x37ffff,0x3fdff7,0x0feffa, 0x0fdffe,0x0fdffc,0x0ffff8,0x17fffd,0x17fff9,0x17fffb,0x17fff3,0x0ffff3, 0x0ffff7,0x07effa,0x07fffe,0x07fffc,0x07bff8,0x0bfffd,0x0bfff9,0x0bfffb, 0x0bfff3,0x0bffff,0x07dff7,0x03effa,0x03dffe,0x03fffc,0x03bff8,0x05fffd, 0x05fff9,0x05fffb,0x05fff3,0x05ffff,0x03fff7,0x01effa,0x01dffe,0x01fffc, 0x01bff8,0x02fffd,0x02fff9,0x02fffb,0x02fff3,0x02ffff,0x01dff7,0x00fffa, 0x00fffe,0x00dffc,0x00bff8,0x017ffd,0x017ff9,0x017ffb,0x017ff3,0x017fff, 0x00fff7,0x006ffa,0x007ffe,0x007ffc,0x003ff8,0x00bffd,0x00bff9,0x00bffb, 0x00bff3,0x00bfff,0x005ff7,0x003ffa,0x001ffe,0x003ffc,0x005ff8,0x005ffd, 0x005ff9,0x005ffb,0x005ff3,0x005fff,0x001ff7,0x001ffa,0x002ffe,0x002ffc, 0x002ff8,0x002ffd,0x002ff9,0x002ffb,0x002ff3,0x002fff,0x002ff7,0x0017fa, 0x0017fe,0x0017fc,0x0017f8,0x0017fd,0x0017f9,0x0017fb,0x0017f3,0x0017ff, 0x0017f7,0x000bfa,0x000bfe,0x000bfc,0x000bf8,0x000bfd,0x000bf9,0x000bfb, 0x000bf3,0x000bff,0x000bf7,0x0005fa,0x0005fe,0x0005fc,0x0005f8,0x0005fd, 0x0005f9,0x0005fb,0x0005f3,0x0005ff,0x0005f7,0x0002fa,0x0002fe,0x0002fc, 0x0002f8,0x0002fd,0x0002f9,0x0002fb,0x0002f3,0x0002ff,0x0002f7,0x00017a, 0x00017e,0x00017c,0x000178,0x00017d,0x000179,0x00017b,0x000173,0x00017f, 0x000177,0x0000ba,0x0000be,0x0000bc,0x0000b8,0x0000bd,0x0000b9,0x0000bb, 0x0000b3,0x0000bf,0x0000b7,0x00005a,0x00005e,0x00005c,0x000058,0x00005d, 0x000059,0x00005b,0x000053,0x00005f,0x000057,0x00002a,0x00002e,0x00002c, 0x000028,0x00002d,0x000029,0x000031,0x00002b,0x000023,0x00002f,0x000027, 0x000012,0x000016,0x000014,0x000010,0x000015,0x000001,0x000005,0x000000, 0x000004,0x000006,0x000002,0x000007,0x00000f,0x000003,0x00000b,0x000011, 0x000009,0x00000d,0x000008,0x00000c,0x00000e,0x00000a,0x000017,0x00001f, 0x000013,0x00001b,0x000019,0x00001d,0x000018,0x00001c,0x00001e,0x00001a, 0x000037,0x00003f,0x000033,0x00003b,0x000039,0x00003d,0x000038,0x00003c, 0x00003e,0x00003a,0x000077,0x00007f,0x000073,0x00007b,0x000079,0x00007d, 0x000078,0x00007c,0x00007e,0x00007a,0x0000f7,0x0000ff,0x0000f3,0x0000fb, 0x0000f9,0x0000fd,0x0000f8,0x0000fc,0x0000fe,0x0000fa,0x0001f7,0x0001ff, 0x0001f3,0x0001fb,0x0001f9,0x0001fd,0x0001f8,0x0001fc,0x0001fe,0x0001fa, 0x0003f7,0x0003ff,0x0003f3,0x0003fb,0x0003f9,0x0003fd,0x0003f8,0x0003fc, 0x0003fe,0x0003fa,0x0007f7,0x0007ff,0x0007f3,0x0007fb,0x0007f9,0x0007fd, September 1999 (revised for MGS) 21 0x0007f8,0x0007fc,0x0007fe,0x0007fa,0x000ff7,0x000fff,0x000ff3,0x000ffb, 0x000ff9,0x000ffd,0x000ff8,0x000ffc,0x000ffe,0x000ffa,0x003ff7,0x001fff, 0x001ff3,0x001ffb,0x001ff9,0x001ffd,0x001ff8,0x001ffc,0x003ffe,0x002ffa, 0x007ff7,0x003fff,0x003ff3,0x003ffb,0x003ff9,0x003ffd,0x007ff8,0x005ffc, 0x005ffe,0x007ffa,0x00dff7,0x007fff,0x007ff3,0x007ffb,0x007ff9,0x007ffd, 0x00fff8,0x00fffc,0x00dffe,0x00effa,0x01fff7,0x00ffff,0x00fff3,0x00fffb, 0x00fff9,0x00fffd,0x01fff8,0x01dffc,0x01fffe,0x01fffa,0x03dff7,0x01ffff, 0x01fff3,0x01fffb,0x01fff9,0x01fffd,0x03fff8,0x03dffc,0x03fffe,0x03fffa, 0x07fff7,0x03ffff,0x03fff3,0x03fffb,0x03fff9,0x03fffd,0x07fff8,0x07dffc, 0x07dffe,0x07fffa,0x0fdff7,0x07ffff,0x07fff3,0x07fffb,0x07fff9,0x07fffd, 0x0fbff8,0x0ffffc,0x0ffffe,0x0ffffa,0x1fdff7,0x17ffff,0x1ffff3,0x1ffff9, 0x0ffff9,0x0ffffd,0x1fbff8,0x1ffffc,0x1fdffe,0x1feffa,0x3ffff7,0x1ffff7, 0x3ffff3,0x2ffffb,0x3ffff9,0x1ffffd,0x3fbff8,0x3fdffc,0x3ffffe,0x1ffffe, 0x3ffffa,0x7ffff7,0x7ffff3,0x7ffffb,0x7ffff9,0x7ffffd,0x7fbff8,0x7ffff8, 0x7ffffc,0x7ffffe,0x0fffff, }; /* Number of valid bits (LSBs) in each entry in "code7" */ static uint8 num7[609] = { 20, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, September 1999 (revised for MGS) 22 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 20, }; /* Huffman code for encoding scheme 7, zero's code is index 304 */ static uint32 code7[609] = { 0x0fffff,0xfffffd,0xeffffd,0xfffff5,0xfffff9,0xfffff1,0xfffffb,0xfffff3, 0xfffff7,0xfdffff,0xedffff,0xfffffe,0xfffffa,0xfffffc,0xf7fffc,0xfffff8, 0xfffff0,0x2ffffd,0x77fff5,0x3ffff9,0x5ffff9,0x3ffffb,0x7bfffb,0x3ffff7, 0x5ffff7,0x2dffff,0x7bfffe,0x3ffffe,0x5ffffa,0x3ffffc,0x7ffff4,0x3ffff0, 0x5ffff0,0x0ffffd,0x1ffff5,0x37fff9,0x3bfff1,0x1ffffb,0x1bfffb,0x2ffff3, 0x2ffff7,0x1dffff,0x1bfffe,0x3bfffa,0x3ffff2,0x1ffffc,0x1ffff8,0x2ffff8, September 1999 (revised for MGS) 23 0x2ffff0,0x17fffd,0x0ffff5,0x0ffff9,0x0bfff1,0x0bfffb,0x1bfff3,0x1bfff7, 0x1bffff,0x1ffff6,0x0ffffe,0x0ffffa,0x0ffff2,0x0ffff4,0x17fff4,0x17fff8, 0x17fff0,0x0bfffd,0x0bfff5,0x0bfff9,0x07fff1,0x07fffb,0x07fff3,0x03fff7, 0x03ffff,0x03fffe,0x07fffe,0x07fffa,0x0bfff2,0x0bfffc,0x0bfff4,0x0bfff8, 0x0bfff0,0x05fffd,0x05fff5,0x05fff9,0x05fff1,0x05fffb,0x05fff3,0x05fff7, 0x01ffff,0x05fff6,0x05fffe,0x05fffa,0x05fff2,0x05fffc,0x05fff4,0x05fff8, 0x05fff0,0x02fffd,0x02fff5,0x02fff9,0x02fff1,0x02fffb,0x02fff3,0x02fff7, 0x02ffff,0x02fff6,0x02fffe,0x02fffa,0x02fff2,0x02fffc,0x02fff4,0x02fff8, 0x02fff0,0x017ffd,0x017ff5,0x017ff9,0x017ff1,0x017ffb,0x017ff3,0x017ff7, 0x017fff,0x017ff6,0x017ffe,0x017ffa,0x017ff2,0x017ffc,0x017ff4,0x017ff8, 0x017ff0,0x00bffd,0x00bff5,0x00bff9,0x00bff1,0x00bffb,0x00bff3,0x00bff7, 0x00bfff,0x00bff6,0x00bffe,0x00bffa,0x00bff2,0x00bffc,0x00bff4,0x00bff8, 0x00bff0,0x005ffd,0x005ff5,0x005ff9,0x005ff1,0x005ffb,0x005ff3,0x005ff7, 0x005fff,0x005ff6,0x005ffe,0x005ffa,0x005ff2,0x005ffc,0x005ff4,0x005ff8, 0x005ff0,0x002ffd,0x002ff5,0x002ff9,0x002ff1,0x002ffb,0x002ff3,0x002ff7, 0x002fff,0x002ff6,0x002ffe,0x002ffa,0x002ff2,0x002ffc,0x002ff4,0x002ff8, 0x002ff0,0x0017fd,0x0017f5,0x0017f9,0x0017f1,0x0017fb,0x0017f3,0x0017f7, 0x0017ff,0x0017f6,0x0017fe,0x0017fa,0x0017f2,0x0017fc,0x0017f4,0x0017f8, 0x0017f0,0x000bfd,0x000bf5,0x000bf9,0x000bf1,0x000bfb,0x000bf3,0x000bf7, 0x000bff,0x000bf6,0x000bfe,0x000bfa,0x000bf2,0x000bfc,0x000bf4,0x000bf8, 0x000bf0,0x0005fd,0x0005f5,0x0005f9,0x0005f1,0x0005fb,0x0005f3,0x0005f7, 0x0005ff,0x0005f6,0x0005fe,0x0005fa,0x0005f2,0x0005fc,0x0005f4,0x0005f8, 0x0005f0,0x0002fd,0x0002f5,0x0002f9,0x0002f1,0x0002fb,0x0002f3,0x0002f7, 0x0002ff,0x0002f6,0x0002fe,0x0002fa,0x0002f2,0x0002fc,0x0002f4,0x0002f8, 0x0002f0,0x00017d,0x000175,0x000179,0x000171,0x00017b,0x000173,0x000177, 0x00017f,0x000176,0x00017e,0x00017a,0x000172,0x00017c,0x000174,0x000178, 0x000170,0x0000bd,0x0000b5,0x0000b9,0x0000b1,0x0000bb,0x0000b3,0x0000b7, 0x0000bf,0x0000b6,0x0000be,0x0000ba,0x0000b2,0x0000bc,0x0000b4,0x0000b8, 0x0000b0,0x00005d,0x000055,0x000059,0x000051,0x00005b,0x000053,0x000057, 0x00005f,0x000056,0x00005e,0x00005a,0x000052,0x00005c,0x000054,0x000058, 0x00002d,0x000025,0x000029,0x000021,0x00002b,0x000023,0x000027,0x00002f, 0x000026,0x00002e,0x00002a,0x000022,0x00002c,0x000024,0x000028,0x000020, 0x000010,0x000000,0x000008,0x000004,0x00000c,0x000002,0x00000a,0x00000e, 0x000006,0x00000f,0x000007,0x000003,0x00000b,0x000001,0x000009,0x000005, 0x00000d,0x000018,0x000014,0x00001c,0x000012,0x00001a,0x00001e,0x000016, 0x00001f,0x000017,0x000013,0x00001b,0x000011,0x000019,0x000015,0x00001d, 0x000030,0x000038,0x000034,0x00003c,0x000032,0x00003a,0x00003e,0x000036, 0x00003f,0x000037,0x000033,0x00003b,0x000031,0x000039,0x000035,0x00003d, 0x000070,0x000078,0x000074,0x00007c,0x000072,0x00007a,0x00007e,0x000076, 0x00007f,0x000077,0x000073,0x00007b,0x000071,0x000079,0x000075,0x00007d, 0x0000f0,0x0000f8,0x0000f4,0x0000fc,0x0000f2,0x0000fa,0x0000fe,0x0000f6, 0x0000ff,0x0000f7,0x0000f3,0x0000fb,0x0000f1,0x0000f9,0x0000f5,0x0000fd, 0x0001f0,0x0001f8,0x0001f4,0x0001fc,0x0001f2,0x0001fa,0x0001fe,0x0001f6, 0x0001ff,0x0001f7,0x0001f3,0x0001fb,0x0001f1,0x0001f9,0x0001f5,0x0001fd, 0x0003f0,0x0003f8,0x0003f4,0x0003fc,0x0003f2,0x0003fa,0x0003fe,0x0003f6, 0x0003ff,0x0003f7,0x0003f3,0x0003fb,0x0003f1,0x0003f9,0x0003f5,0x0003fd, 0x0007f0,0x0007f8,0x0007f4,0x0007fc,0x0007f2,0x0007fa,0x0007fe,0x0007f6, 0x0007ff,0x0007f7,0x0007f3,0x0007fb,0x0007f1,0x0007f9,0x0007f5,0x0007fd, 0x000ff0,0x000ff8,0x000ff4,0x000ffc,0x000ff2,0x000ffa,0x000ffe,0x000ff6, 0x000fff,0x000ff7,0x000ff3,0x000ffb,0x000ff1,0x000ff9,0x000ff5,0x000ffd, 0x001ff0,0x001ff8,0x001ff4,0x001ffc,0x001ff2,0x001ffa,0x001ffe,0x001ff6, 0x001fff,0x001ff7,0x001ff3,0x001ffb,0x001ff1,0x001ff9,0x001ff5,0x001ffd, 0x003ff0,0x003ff8,0x003ff4,0x003ffc,0x003ff2,0x003ffa,0x003ffe,0x003ff6, September 1999 (revised for MGS) 24 0x003fff,0x003ff7,0x003ff3,0x003ffb,0x003ff1,0x003ff9,0x003ff5,0x003ffd, 0x007ff0,0x007ff8,0x007ff4,0x007ffc,0x007ff2,0x007ffa,0x007ffe,0x007ff6, 0x007fff,0x007ff7,0x007ff3,0x007ffb,0x007ff1,0x007ff9,0x007ff5,0x007ffd, 0x00fff0,0x00fff8,0x00fff4,0x00fffc,0x00fff2,0x00fffa,0x00fffe,0x00fff6, 0x00ffff,0x00fff7,0x00fff3,0x00fffb,0x00fff1,0x00fff9,0x00fff5,0x00fffd, 0x01fff0,0x01fff8,0x01fff4,0x01fffc,0x01fff2,0x01fffa,0x01fffe,0x01fff6, 0x03fff6,0x01fff7,0x01fff3,0x01fffb,0x01fff1,0x01fff9,0x01fff5,0x01fffd, 0x03fff0,0x03fff8,0x03fff4,0x03fffc,0x03fff2,0x07fff2,0x03fffa,0x07fff6, 0x05ffff,0x07fff7,0x03fff3,0x03fffb,0x03fff1,0x03fff9,0x03fff5,0x03fffd, 0x07fff0,0x07fff8,0x07fff4,0x07fffc,0x0ffffc,0x0bfffa,0x0bfffe,0x0ffff6, 0x0bffff,0x0bfff7,0x0bfff3,0x0ffffb,0x0ffff1,0x07fff9,0x07fff5,0x07fffd, 0x0ffff0,0x0ffff8,0x1ffff4,0x17fffc,0x1ffff2,0x1bfffa,0x1ffffe,0x0dffff, 0x0ffff7,0x0ffff3,0x1ffff3,0x1ffff1,0x1bfff1,0x17fff9,0x17fff5,0x1ffffd, 0x1ffff0,0x3ffff8,0x3ffff4,0x37fffc,0x1ffffa,0x3ffffa,0x3bfffe,0x3dffff, 0x1ffff7,0x3ffff3,0x3bfffb,0x3ffff1,0x1ffff9,0x3ffff5,0x37fff5,0x3ffffd, 0x7ffff0,0x7ffff8,0x77fffc,0x7ffffc,0x7ffffa,0x7ffffe,0x6dffff,0x7dffff, 0x7ffff7,0x7ffff3,0x7ffffb,0x7ffff1,0x7ffff9,0x7ffff5,0x6ffffd,0x7ffffd, 0x07ffff, }; /* Size of each Huffman encoding scheme */ static uint16 sizes[8] = { 25, 47, 69, 109, 169, 247, 395, 609, }; 7. Appendix C: inverse DCT and WHT algorithms The fast DCT algorithm is described in "A Fast Computational Algorithm for the Discrete Cosine Transform" by Wen-Hsiung Chen, C. Harrison Smith, and S. C. Fralick, IEEE Transac- tions On Communications, Vol. COM-25, No. 9, September 1977, pp. 1004-1009. This is a simple floating-point imple- mentation of that algorithm (~mc/src/mocprot/downlink/image/xdecomp/invFdct16x16.c on host barsoom at MSSS) and is not intended to be an example of the best possible way to implement the algorithm or to write programs. #define MULTDOUBLE(r,v,c) (r) = (v) * (c); static double cosineDouble[16] = { 1.00000000000000000000e+00, 9.95184726672196890000e-01, 9.80785280403230440000e-01, 9.56940335732208870000e-01, 9.23879532511286750000e-01, 8.81921264348355040000e-01, 8.31469612302545240000e-01, 7.73010453362736970000e-01, September 1999 (revised for MGS) 25 7.07106781186547530000e-01, 6.34393284163645500000e-01, 5.55570233019602220000e-01, 4.71396736825997660000e-01, 3.82683432365089760000e-01, 2.90284677254462360000e-01, 1.95090322016128270000e-01, 9.80171403295606040000e-02, }; static void DCTinv16Double(in,out) double *in,*out; { double tmp[16]; register double tmp1,tmp2; tmp[0] = in[0]; tmp[1] = in[8]; tmp[2] = in[4]; tmp[3] = in[12]; tmp[4] = in[2]; tmp[5] = in[10]; tmp[6] = in[6]; tmp[7] = in[14]; MULTDOUBLE(tmp1,in[1],cosineDouble[15]); MULTDOUBLE(tmp2,in[15],cosineDoub le[1]); tmp[8] = tmp1 - tmp2; MULTDOUBLE(tmp1,in[9],cosineDouble[7]); MULTDOUBLE(tmp2,in[7],cosineDouble [9]); tmp[9] = tmp1 - tmp2; MULTDOUBLE(tmp1,in[5],cosineDouble[11]); MULTDOUBLE(tmp2,in[11],cosineDoub le[5]); tmp[10] = tmp1 - tmp2; MULTDOUBLE(tmp1,in[13],cosineDouble[3]); MULTDOUBLE(tmp2,in[3],cosineDoubl e[13]); tmp[11] = tmp1 - tmp2; MULTDOUBLE(tmp1,in[3],cosineDouble[3]); MULTDOUBLE(tmp2,in[13],cosineDoubl e[13]); tmp[12] = tmp1 + tmp2; MULTDOUBLE(tmp1,in[11],cosineDouble[11]); MULTDOUBLE(tmp2,in[5],cosineDoub le[5]); tmp[13] = tmp1 + tmp2; MULTDOUBLE(tmp1,in[7],cosineDouble[7]); MULTDOUBLE(tmp2,in[9],cosineDouble [9]); tmp[14] = tmp1 + tmp2; MULTDOUBLE(tmp1,in[15],cosineDouble[15]); MULTDOUBLE(tmp2,in[1],cosineDoub le[1]); tmp[15] = tmp1 + tmp2; out[0] = tmp[0]; out[1] = tmp[1]; out[2] = tmp[2]; out[3] = tmp[3]; MULTDOUBLE(tmp1,tmp[4],cosineDouble[14]); MULTDOUBLE(tmp2,tmp[7],cosineDou ble[2]); out[4] = tmp1 - tmp2; MULTDOUBLE(tmp1,tmp[5],cosineDouble[6]); MULTDOUBLE(tmp2,tmp[6],cosineDoub le[10]); out[5] = tmp1 - tmp2; MULTDOUBLE(tmp1,tmp[6],cosineDouble[6]); MULTDOUBLE(tmp2,tmp[5],cosineDoub le[10]); out[6] = tmp1 + tmp2; MULTDOUBLE(tmp1,tmp[7],cosineDouble[14]); MULTDOUBLE(tmp2,tmp[4],cosineDou ble[2]); out[7] = tmp1 + tmp2; out[8] = tmp[8] + tmp[9]; out[9] = -tmp[9] + tmp[8]; September 1999 (revised for MGS) 26 out[10] = -tmp[10] + tmp[11]; out[11] = tmp[11] + tmp[10]; out[12] = tmp[12] + tmp[13]; out[13] = -tmp[13] + tmp[12]; out[14] = -tmp[14] + tmp[15]; out[15] = tmp[15] + tmp[14]; tmp1 = out[0] + out[1]; MULTDOUBLE(tmp[0],tmp1,cosineDouble[8]); tmp1 = -out[1] + out[0]; MULTDOUBLE(tmp[1],tmp1,cosineDouble[8]); MULTDOUBLE(tmp1,out[2],cosineDouble[12]); MULTDOUBLE(tmp2,out[3],cosineDou ble[4]); tmp[2] = tmp1 - tmp2; MULTDOUBLE(tmp1,out[3],cosineDouble[12]); MULTDOUBLE(tmp2,out[2],cosineDou ble[4]); tmp[3] = tmp1 + tmp2; tmp[4] = out[4] + out[5]; tmp[5] = -out[5] + out[4]; tmp[6] = -out[6] + out[7]; tmp[7] = out[7] + out[6]; tmp[8] = out[8]; MULTDOUBLE(tmp1,out[9],cosineDouble[4]); MULTDOUBLE(tmp2,out[14],cosineDou ble[12]); tmp[9] = -tmp1 + tmp2; MULTDOUBLE(tmp1,out[10],cosineDouble[12]); MULTDOUBLE(tmp2,out[13],cosineD ouble[4]); tmp[10] = -tmp1 - tmp2; tmp[11] = out[11]; tmp[12] = out[12]; MULTDOUBLE(tmp1,out[13],cosineDouble[12]); MULTDOUBLE(tmp2,out[10],cosineD ouble[4]); tmp[13] = tmp1 - tmp2; MULTDOUBLE(tmp1,out[14],cosineDouble[4]); MULTDOUBLE(tmp2,out[9],cosineDou ble[12]); tmp[14] = tmp1 + tmp2; tmp[15] = out[15]; out[0] = tmp[0] + tmp[3]; out[1] = tmp[1] + tmp[2]; out[2] = -tmp[2] + tmp[1]; out[3] = -tmp[3] + tmp[0]; out[4] = tmp[4]; tmp1 = -tmp[5] + tmp[6]; MULTDOUBLE(out[5],tmp1,cosineDouble[8]); tmp1 = tmp[6] + tmp[5]; MULTDOUBLE(out[6],tmp1,cosineDouble[8]); out[7] = tmp[7]; out[8] = tmp[8] + tmp[11]; out[9] = tmp[9] + tmp[10]; out[10] = -tmp[10] + tmp[9]; out[11] = -tmp[11] + tmp[8]; out[12] = -tmp[12] + tmp[15]; out[13] = -tmp[13] + tmp[14]; out[14] = tmp[14] + tmp[13]; out[15] = tmp[15] + tmp[12]; tmp[0] = out[0] + out[7]; tmp[1] = out[1] + out[6]; September 1999 (revised for MGS) 27 tmp[2] = out[2] + out[5]; tmp[3] = out[3] + out[4]; tmp[4] = -out[4] + out[3]; tmp[5] = -out[5] + out[2]; tmp[6] = -out[6] + out[1]; tmp[7] = -out[7] + out[0]; tmp[8] = out[8]; tmp[9] = out[9]; tmp1 = -out[10] + out[13]; MULTDOUBLE(tmp[10],tmp1,cosineDouble[8]); tmp1 = -out[11] + out[12]; MULTDOUBLE(tmp[11],tmp1,cosineDouble[8]); tmp1 = out[12] + out[11]; MULTDOUBLE(tmp[12],tmp1,cosineDouble[8]); tmp1 = out[13] + out[10]; MULTDOUBLE(tmp[13],tmp1,cosineDouble[8]); tmp[14] = out[14]; tmp[15] = out[15]; out[0] = tmp[0] + tmp[15]; out[1] = tmp[1] + tmp[14]; out[2] = tmp[2] + tmp[13]; out[3] = tmp[3] + tmp[12]; out[4] = tmp[4] + tmp[11]; out[5] = tmp[5] + tmp[10]; out[6] = tmp[6] + tmp[9]; out[7] = tmp[7] + tmp[8]; out[8] = -tmp[8] + tmp[7]; out[9] = -tmp[9] + tmp[6]; out[10] = -tmp[10] + tmp[5]; out[11] = -tmp[11] + tmp[4]; out[12] = -tmp[12] + tmp[3]; out[13] = -tmp[13] + tmp[2]; out[14] = -tmp[14] + tmp[1]; out[15] = -tmp[15] + tmp[0]; } void invFdct16x16(in,out) int16 *in,*out; { uint32 i,j; double data[256],*scanData,*other; double temp; scanData = data; *(scanData++) = (uint16)(*(in++)); for (i = 1; i < 256; i++) { *(scanData++) = *(in++); }; for (i = 0, scanData = data; i < 16; i++, scanData += 16) { DCTinv16Double(scanData,scanData); }; September 1999 (revised for MGS) 28 for (i = 0, scanData = data, other = data+16; i < 16; i++, other += 17) { double *scanOther; scanData += i+1; scanOther = other; for (j = i+1; j < 16; j++, scanData++, scanOther += 16) { temp = *scanData; *scanData = *scanOther; *scanOther = temp; }; }; for (i = 0, scanData = data; i < 16; i++, scanData += 16) { DCTinv16Double(scanData,scanData); }; for (i = 0, scanData = data, other = data+16; i < 16; i++, other += 17) { double *scanOther; scanData += i+1; scanOther = other; for (j = i+1; j < 16; j++, scanData++, scanOther += 16) { temp = *scanData; *scanData = *scanOther; *scanOther = temp; }; }; for (i = 0, scanData = data; i < 256; i++) { int16 cur; cur = *(scanData++) / 127.0 + 0.5; if (cur < 0) { cur = 0; }; if (cur > 255) { cur = 255; }; *(out++) = cur; }; } For a discussion of the Walsh-Hadamard transform, see any book on image compression, for example R.J. Clarke, TRANSFORM CODING OF IMAGES, Academic Press, 1985. September 1999 (revised for MGS) 29 This example module calculates a "sequency" ordered, two dimensional inverse Walsh-Hadamard transform (WHT) on 16 x 16 blocks of data. It is done as two one dimensional transforms (one of the rows followed by one of the columns). Each one dimensional transform is implemented as a 16 point, 4 stage "butterfly". These routines, taken from the MOC flight software, have been highly optimized to produce very fast 32000 executable code but still use C for coding (thus allowing compilation on other machines). #include #include "fs.h" /* * This defines a four input (and output), two stage "butterfly" * calculation done completely in registers (once the data is read from * memory. Four input and two stages was picked to maximize the use of * the 32000's registers. Eight of these are required to do a 16 point, * one dimensional WHT. The "simple" formulas for this "butterfly" are: * * n0 = i0 + i1 * n1 = i0 - i1 First stage * n2 = i2 + i3 * n3 = i2 - i3 * * o0 = n0 + n2 * o1 = n1 + n3 Second stage * o2 = n0 - n2 * o3 = n1 - n3 * * All data (in and out) is assumed to be 16 bit integers. "in" is the * base address of the input data array and "ii" is the scaling factor to * use on the next four indexes into "in" (this allows moving by rows or * columns through a two dimensional array stored as a one dimensional set * of numbers). "i0", "i1", "i2", and "i3" are the unscaled indexes into * "in". "out" is the base address of the output data array and "oi" is * the scaling factor to use on the next four indexes into "out" (this * allows moving by rows or columns through a two dimensional array stored * as a one dimensional set of numbers). "o0", "o1", "o2", and "o3" are * the unscaled indexes into "out". */ #define BUTTERFLY4(in,ii,i0,i1,i2,i3,out,oi,o0,o1,o2,o3)\ { \ register int32 t0,t1,t2,t3,t4;\ \ /* Load input into registers */\ t0 = in[(ii)*(i0)];\ t1 = in[(ii)*(i1)];\ t2 = in[(ii)*(i2)];\ September 1999 (revised for MGS) 30 t3 = in[(ii)*(i3)];\ \ /* Do first stage */\ t4 = t0; \ t4 += t1; \ t0 -= t1; \ \ t1 = t2; \ t1 += t3; \ t2 -= t3; \ \ /* Do second stage */\ t3 = t4; \ t3 += t1; \ t4 -= t1; \ \ t1 = t0; \ t1 += t2; \ t0 -= t2; \ \ /* Store results from registers */\ out[(oi)*(o0)] = t3;\ out[(oi)*(o1)] = t1;\ out[(oi)*(o2)] = t4;\ out[(oi)*(o3)] = t0;\ } static void invFwht16_row(in,out) register int32 *in,*out; { /* * This function does a 16 point, one dimensional inverse WHT on 16, 32 * bit integers stored as a vector (as in the rows of a two dimensional * array) and puts the results in a 32 bit integer vector. The transform * is not normalized but is in "sequency" order. * * pre: * "in" - the 16 inputs stored as 32 bit integers in a vector. * post: * "out" - the 16 outputs stored as 32 bit integers in a vector. */ int32 data[32]; /* Temporary storage used between stages */ register int32 *tmp; /* Register pointer to the temporary storage */ /* Point at temporary storage */ tmp = data; /* Perform first two stages of 16 point butterfly */ BUTTERFLY4(in , 1, 0, 1, 2, 3,tmp, 1, 0, 1, 2, 3); BUTTERFLY4(in , 1, 4, 5, 6, 7,tmp, 1, 4, 5, 6, 7); BUTTERFLY4(in , 1, 8, 9,10,11,tmp, 1, 8, 9,10,11); BUTTERFLY4(in , 1,12,13,14,15,tmp, 1,12,13,14,15); /* * Perform last two stages of 16 point butterfly and store in September 1999 (revised for MGS) 31 * "sequency" order */ BUTTERFLY4(tmp, 1, 0, 4, 8,12,out, 1, 0, 3, 1, 2); BUTTERFLY4(tmp, 1, 1, 5, 9,13,out, 1,15,12,14,13); BUTTERFLY4(tmp, 1, 2, 6,10,14,out, 1, 7, 4, 6, 5); BUTTERFLY4(tmp, 1, 3, 7,11,15,out, 1, 8,11, 9,10); } static void invFwht16_col(in,out) register int32 *in,*out; { /* * This function does a 16 point, one dimensional inverse WHT on 16, 32 * bit integers stored as a vector in every 16th location (as in the * columns of a two dimensional array stored as a one dimensional array by * rows) and puts the results out in a similar manner. The transform is * not normalized but is in "sequency" order. * * pre: * "in" - the 16 inputs stored as 32 bit integers in every 16th location. * post: * "out" - the 16 outputs stored as 32 bit integers in every 16th location. */ int32 data[16]; /* Temporary storage used between stages */ register int32 *tmp; /* Register pointer to the temporary storage */ /* Point at temporary storage */ tmp = data; /* Perform first two stages of 16 point butterfly */ BUTTERFLY4(in ,16, 0, 1, 2, 3,tmp, 1, 0, 1, 2, 3); BUTTERFLY4(in ,16, 4, 5, 6, 7,tmp, 1, 4, 5, 6, 7); BUTTERFLY4(in ,16, 8, 9,10,11,tmp, 1, 8, 9,10,11); BUTTERFLY4(in ,16,12,13,14,15,tmp, 1,12,13,14,15); /* * Perform last two stages of 16 point butterfly and store in * "sequency" order */ BUTTERFLY4(tmp, 1, 0, 4, 8,12,out,16, 0, 3, 1, 2); BUTTERFLY4(tmp, 1, 1, 5, 9,13,out,16,15,12,14,13); BUTTERFLY4(tmp, 1, 2, 6,10,14,out,16, 7, 4, 6, 5); BUTTERFLY4(tmp, 1, 3, 7,11,15,out,16, 8,11, 9,10); } void invFwht16x16(in,out) register int16 *in,*out; { /* * This function does a "sequency" ordered WHT on a 16 x 16 array of data * (stored as 16 bit integers) stored in 256 contiguous locations. The * transform is normalized. The input is assumed to be 16 bit signed * integers EXCEPT for the DC entry which is be treated as UNSIGNED. The * result is stored in a 16 x 16 array of the same structure. The output * is all 8 bit, unsigned integers. * * pre: September 1999 (revised for MGS) 32 * "in" - the 16 x 16 input block data stored as 16 bit integers. * post: * "out" - the 16 x 16 output block data stored as 16 bit integers. */ uint32 i; /* Generic looping variable */ int32 data[256]; /* Temporary storage for transform */ /* Convert 16 bit integers to 32 bit integers */ { register int16 *scanIn; register int32 *scanData; scanIn = in; scanData = data; *(scanData++) = (uint16)(*(scanIn++)); for (i = 1; i < 256; i++) { *(scanData++) = *(scanIn++); }; }; { register int32 *scanData; /* Current row start in "data" */ /* * Pass each row in "data" array (as a vector of size 16) to the * 16 point, 1D inverse WHT and store the results in contiguous * 16 point locations in "data". At completion all rows have been * inverse transformed in one dimension. */ for (i = 0, scanData = data; i < 16; i++, scanData += 16) { invFwht16_row(scanData,scanData); }; }; { register int32 *scanData; /* Current column start in "data" */ /* * Inverse transform each column in the 16 x 16 block stored by rows * as a 256 point vector. */ for (i = 0, scanData = data; i < 16; i++, scanData++) { invFwht16_col(scanData,scanData); }; }; /* Convert 32 bit integers to 16 bit integers */ { register int32 *scanData; register int16 *scanOut; September 1999 (revised for MGS) 33 scanData = data; scanOut = out; for (i = 0; i < 256; i++) { register int32 cur; cur = *(scanData++); cur >>= 8; if (cur < 0) { cur = 0; }; if (cur > 255) { cur = 255; }; *(scanOut++) = cur; }; }; } 8. Appendix D: predictive Huffman code tables (IPS/predcode.h from the flight software.) /* IDENTITY; NO COMPRESSION -- dumped from 'default.code' */ uint16 Code0Bits[256] = { 0x0000, 0x0001, 0x0002, 0x0003, 0x0004, 0x0005, 0x0006, 0x0007, 0x0008, 0x0009, 0x000a, 0x000b, 0x000c, 0x000d, 0x000e, 0x000f, 0x0010, 0x0011, 0x0012, 0x0013, 0x0014, 0x0015, 0x0016, 0x0017, 0x0018, 0x0019, 0x001a, 0x001b, 0x001c, 0x001d, 0x001e, 0x001f, 0x0020, 0x0021, 0x0022, 0x0023, 0x0024, 0x0025, 0x0026, 0x0027, 0x0028, 0x0029, 0x002a, 0x002b, 0x002c, 0x002d, 0x002e, 0x002f, 0x0030, 0x0031, 0x0032, 0x0033, 0x0034, 0x0035, 0x0036, 0x0037, 0x0038, 0x0039, 0x003a, 0x003b, 0x003c, 0x003d, 0x003e, 0x003f, 0x0040, 0x0041, 0x0042, 0x0043, 0x0044, 0x0045, 0x0046, 0x0047, 0x0048, 0x0049, 0x004a, 0x004b, 0x004c, 0x004d, 0x004e, 0x004f, 0x0050, 0x0051, 0x0052, 0x0053, 0x0054, 0x0055, 0x0056, 0x0057, 0x0058, 0x0059, 0x005a, 0x005b, 0x005c, 0x005d, 0x005e, 0x005f, 0x0060, 0x0061, 0x0062, 0x0063, 0x0064, 0x0065, 0x0066, 0x0067, 0x0068, 0x0069, 0x006a, 0x006b, 0x006c, 0x006d, 0x006e, 0x006f, 0x0070, 0x0071, 0x0072, 0x0073, 0x0074, 0x0075, 0x0076, 0x0077, 0x0078, 0x0079, 0x007a, 0x007b, 0x007c, 0x007d, 0x007e, 0x007f, 0x0080, 0x0081, 0x0082, 0x0083, 0x0084, 0x0085, 0x0086, 0x0087, 0x0088, 0x0089, 0x008a, 0x008b, 0x008c, 0x008d, 0x008e, 0x008f, 0x0090, 0x0091, 0x0092, 0x0093, 0x0094, 0x0095, 0x0096, 0x0097, 0x0098, 0x0099, 0x009a, 0x009b, 0x009c, 0x009d, 0x009e, 0x009f, September 1999 (revised for MGS) 34 0x00a0, 0x00a1, 0x00a2, 0x00a3, 0x00a4, 0x00a5, 0x00a6, 0x00a7, 0x00a8, 0x00a9, 0x00aa, 0x00ab, 0x00ac, 0x00ad, 0x00ae, 0x00af, 0x00b0, 0x00b1, 0x00b2, 0x00b3, 0x00b4, 0x00b5, 0x00b6, 0x00b7, 0x00b8, 0x00b9, 0x00ba, 0x00bb, 0x00bc, 0x00bd, 0x00be, 0x00bf, 0x00c0, 0x00c1, 0x00c2, 0x00c3, 0x00c4, 0x00c5, 0x00c6, 0x00c7, 0x00c8, 0x00c9, 0x00ca, 0x00cb, 0x00cc, 0x00cd, 0x00ce, 0x00cf, 0x00d0, 0x00d1, 0x00d2, 0x00d3, 0x00d4, 0x00d5, 0x00d6, 0x00d7, 0x00d8, 0x00d9, 0x00da, 0x00db, 0x00dc, 0x00dd, 0x00de, 0x00df, 0x00e0, 0x00e1, 0x00e2, 0x00e3, 0x00e4, 0x00e5, 0x00e6, 0x00e7, 0x00e8, 0x00e9, 0x00ea, 0x00eb, 0x00ec, 0x00ed, 0x00ee, 0x00ef, 0x00f0, 0x00f1, 0x00f2, 0x00f3, 0x00f4, 0x00f5, 0x00f6, 0x00f7, 0x00f8, 0x00f9, 0x00fa, 0x00fb, 0x00fc, 0x00fd, 0x00fe, 0x00ff, }; uint8 Code0Len[256] = { 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, }; /* dumped from 'exp01.code' */ uint16 Code1Bits[256] = { 0x0000, 0x0001, 0x000d, 0x0055, 0x00f5, 0x0375, 0x0135, 0x1135, 0x5a75, 0x1a75, 0x6a75, 0x2a75, 0x4a75, 0x0a75, 0x7275, 0x3275, 0x5275, 0x1275, 0x6275, 0x2275, 0x4275, 0x0275, 0x7c75, 0x3c75, 0x5c75, 0x1c75, 0x6c75, 0x2c75, 0x4c75, 0x0c75, 0x7475, 0x3475, 0x5475, 0x1475, 0x6475, 0x2475, 0x4475, 0x0475, 0x7875, 0x3875, 0x5875, 0x1875, 0x6875, 0x2875, 0x4875, 0x0875, 0x7075, 0x3075, 0x5075, 0x1075, 0x6075, 0x2075, 0x4075, 0x0075, 0x7fb5, 0x3fb5, 0x5fb5, 0x1fb5, 0x6fb5, 0x2fb5, 0x4fb5, 0x0fb5, 0x77b5, 0x37b5, 0x57b5, 0x17b5, 0x67b5, 0x27b5, 0x47b5, 0x07b5, 0x7bb5, 0x3bb5, 0x5bb5, 0x1bb5, 0x6bb5, 0x2bb5, 0x4bb5, 0x0bb5, 0x73b5, 0x33b5, 0x53b5, 0x13b5, 0x63b5, 0x23b5, 0x43b5, 0x03b5, 0x7db5, 0x3db5, 0x5db5, 0x1db5, 0x6db5, 0x2db5, 0x4db5, 0x0db5, 0x75b5, 0x35b5, 0x55b5, 0x15b5, 0x65b5, 0x25b5, 0x45b5, 0x05b5, 0x79b5, 0x39b5, 0x59b5, 0x19b5, 0x69b5, 0x29b5, 0x49b5, 0x09b5, 0x71b5, 0x31b5, 0x51b5, 0x11b5, 0x61b5, 0x21b5, 0x41b5, 0x01b5, 0x7eb5, 0x3eb5, 0x5eb5, 0x1eb5, 0x3a75, 0x2eb5, 0x4eb5, 0x6eb5, 0x6675, 0x1675, 0x5675, 0x16b5, 0x66b5, 0x26b5, 0x46b5, 0x06b5, 0x7ab5, 0x3ab5, 0x5ab5, 0x1ab5, 0x6ab5, 0x2ab5, 0x4ab5, 0x0ab5, 0x72b5, 0x32b5, September 1999 (revised for MGS) 35 0x52b5, 0x12b5, 0x62b5, 0x22b5, 0x42b5, 0x02b5, 0x7cb5, 0x3cb5, 0x5cb5, 0x1cb5, 0x6cb5, 0x2cb5, 0x4cb5, 0x0cb5, 0x74b5, 0x34b5, 0x54b5, 0x14b5, 0x64b5, 0x24b5, 0x44b5, 0x04b5, 0x78b5, 0x38b5, 0x58b5, 0x18b5, 0x68b5, 0x28b5, 0x48b5, 0x08b5, 0x70b5, 0x30b5, 0x50b5, 0x10b5, 0x60b5, 0x20b5, 0x40b5, 0x00b5, 0x0eb5, 0x3f35, 0x7f35, 0x1f35, 0x6f35, 0x2f35, 0x4f35, 0x0f35, 0x7735, 0x3735, 0x5735, 0x1735, 0x6735, 0x2735, 0x4735, 0x0735, 0x7b35, 0x3b35, 0x5b35, 0x1b35, 0x6b35, 0x2b35, 0x4b35, 0x0b35, 0x7335, 0x3335, 0x5335, 0x1335, 0x6335, 0x2335, 0x5f35, 0x4335, 0x7d35, 0x3d35, 0x5d35, 0x1d35, 0x6d35, 0x2d35, 0x4d35, 0x0d35, 0x7535, 0x3535, 0x5535, 0x1535, 0x6535, 0x0335, 0x2535, 0x0535, 0x7935, 0x3935, 0x5935, 0x1935, 0x6935, 0x4535, 0x2935, 0x0935, 0x7135, 0x4935, 0x5135, 0x3135, 0x56b5, 0x36b5, 0x76b5, 0x7a75, 0x0675, 0x4675, 0x2675, 0x3675, 0x0e75, 0x0175, 0x0035, 0x0015, 0x0005, 0x0003, }; uint8 Code1Len[256] = { 1, 3, 4, 7, 8, 10, 13, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 14, 12, 10, 9, 7, 5, 2, }; /* dumped from 'exp02.code' */ uint16 Code2Bits[256] = { 0x0002, 0x0000, 0x0005, 0x000c, 0x0011, 0x003c, 0x00fc, 0x0101, 0x0081, 0x0181, 0x0d81, 0x0dc1, 0x09c1, 0x0ec1, 0x76c1, 0x36c1, 0x56c1, 0x16c1, 0x66c1, 0x26c1, 0x46c1, 0x06c1, 0x7ac1, 0x3ac1, 0x5ac1, 0x1ac1, 0x6ac1, 0x2ac1, 0x4ac1, 0x0ac1, 0x72c1, 0x32c1, 0x52c1, 0x12c1, 0x62c1, 0x22c1, 0x42c1, 0x02c1, 0x7cc1, 0x3cc1, 0x5cc1, 0x1cc1, 0x6cc1, 0x2cc1, 0x4cc1, 0x0cc1, 0x74c1, 0x34c1, 0x54c1, 0x14c1, 0x64c1, 0x24c1, 0x44c1, 0x04c1, 0x78c1, 0x38c1, 0x58c1, 0x18c1, 0x68c1, 0x28c1, 0x48c1, 0x08c1, 0x70c1, 0x30c1, 0x50c1, 0x10c1, 0x60c1, 0x20c1, 0x40c1, 0x00c1, 0x7f41, 0x3f41, 0x5f41, 0x1f41, 0x6f41, 0x2f41, 0x4f41, 0x0f41, 0x7741, 0x3741, 0x5741, 0x1741, 0x6741, 0x2741, 0x4741, 0x0741, 0x7b41, 0x3b41, 0x5b41, 0x1b41, 0x6b41, 0x2b41, 0x4b41, 0x0b41, 0x7341, 0x3341, 0x5341, 0x1341, 0x6341, 0x2341, 0x4341, 0x0341, 0x7d41, 0x3d41, 0x5d41, 0x1d41, 0x6d41, 0x2d41, 0x4d41, 0x0d41, 0x7541, 0x3541, 0x5541, 0x1541, 0x6541, 0x2541, 0x4541, 0x0541, 0x7941, 0x3941, 0x7ec1, 0x6ec1, 0x21c1, 0x41c1, 0x4ec1, 0x5941, 0x61c1, 0x11c1, September 1999 (revised for MGS) 36 0x51c1, 0x1141, 0x6141, 0x2141, 0x4141, 0x0141, 0x7e41, 0x3e41, 0x5e41, 0x1e41, 0x6e41, 0x2e41, 0x4e41, 0x0e41, 0x7641, 0x3641, 0x5641, 0x1641, 0x6641, 0x2641, 0x4641, 0x0641, 0x7a41, 0x3a41, 0x5a41, 0x1a41, 0x6a41, 0x2a41, 0x4a41, 0x0a41, 0x7241, 0x3241, 0x5241, 0x1241, 0x6241, 0x2241, 0x4241, 0x0241, 0x7c41, 0x3c41, 0x5c41, 0x1c41, 0x6c41, 0x2c41, 0x4c41, 0x0c41, 0x7441, 0x3441, 0x5441, 0x1441, 0x1941, 0x2941, 0x4941, 0x0441, 0x7841, 0x3841, 0x5841, 0x1841, 0x6841, 0x2841, 0x4841, 0x0841, 0x7041, 0x3041, 0x5041, 0x1041, 0x6041, 0x2041, 0x4041, 0x0041, 0x7f81, 0x3f81, 0x5f81, 0x1f81, 0x6f81, 0x2f81, 0x4f81, 0x2441, 0x0f81, 0x3781, 0x5781, 0x1781, 0x6781, 0x2781, 0x4781, 0x0781, 0x7b81, 0x3b81, 0x5b81, 0x1b81, 0x6b81, 0x7781, 0x2b81, 0x0b81, 0x7381, 0x3381, 0x5381, 0x1381, 0x4b81, 0x6381, 0x4381, 0x2381, 0x0381, 0x31c1, 0x4441, 0x6441, 0x7141, 0x0941, 0x2ec1, 0x6941, 0x1ec1, 0x5ec1, 0x3ec1, 0x01c1, 0x5141, 0x3141, 0x19c1, 0x05c1, 0x0581, 0x03c1, 0x0281, 0x0001, 0x007c, 0x0021, 0x001c, 0x0009, 0x0004, 0x0003, }; uint8 Code2Len[256] = { 2, 3, 3, 5, 5, 7, 8, 9, 10, 11, 12, 12, 13, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 14, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 13, 12, 12, 10, 10, 9, 8, 6, 6, 4, 4, 2, }; /* dumped from 'exp04.code' */ uint16 Code3Bits[256] = { 0x0004, 0x0006, 0x0007, 0x0005, 0x000b, 0x000d, 0x0018, 0x001d, 0x0038, 0x007d, 0x00f8, 0x0003, 0x0001, 0x0183, 0x01c3, 0x0343, 0x02c3, 0x0683, 0x0e81, 0x08c3, 0x0181, 0x0c83, 0x1181, 0x04c3, 0x5f41, 0x1f41, 0x6f41, 0x2f41, 0x4f41, 0x0f41, 0x7741, 0x3741, 0x5741, 0x1741, 0x6741, 0x2741, 0x4741, 0x0741, 0x7b41, 0x3b41, 0x5b41, 0x1b41, 0x6b41, 0x2b41, 0x4b41, 0x0b41, 0x7341, 0x3341, 0x5341, 0x1341, 0x6341, 0x2341, 0x4341, 0x0341, 0x7d41, 0x3d41, 0x5d41, 0x1d41, 0x6d41, 0x2d41, 0x4d41, 0x0d41, 0x7541, 0x3541, 0x5541, 0x1541, 0x6541, 0x2541, 0x4541, 0x0541, 0x7941, 0x3941, 0x5941, 0x1941, 0x6941, 0x2941, 0x4941, 0x0941, 0x7141, 0x3141, 0x5141, 0x1141, 0x6141, 0x2141, 0x4141, 0x0141, 0x7e41, 0x3e41, 0x5e41, 0x1e41, 0x6e41, 0x2e41, 0x4e41, 0x0e41, 0x7641, 0x3641, 0x5641, 0x1641, 0x6641, 0x2641, 0x4641, 0x0641, 0x7a41, 0x3a41, 0x5a41, 0x1a41, 0x6a41, 0x2a41, 0x4a41, 0x0a41, 0x7241, 0x4883, September 1999 (revised for MGS) 37 0x7f41, 0x5883, 0x1883, 0x0483, 0x7883, 0x3f41, 0x3241, 0x3c41, 0x5c41, 0x1c41, 0x2483, 0x4483, 0x4c41, 0x0c41, 0x6483, 0x1483, 0x5483, 0x1441, 0x6441, 0x2441, 0x4441, 0x0441, 0x7841, 0x3841, 0x5841, 0x1841, 0x6841, 0x2841, 0x4841, 0x0841, 0x7041, 0x3041, 0x5041, 0x1041, 0x6041, 0x2041, 0x4041, 0x0041, 0x7f81, 0x3f81, 0x5f81, 0x1f81, 0x6f81, 0x2f81, 0x4f81, 0x0f81, 0x7781, 0x3781, 0x5781, 0x1781, 0x5241, 0x0241, 0x4781, 0x7c41, 0x6781, 0x3b81, 0x5b81, 0x1b81, 0x6b81, 0x2b81, 0x4b81, 0x0b81, 0x7381, 0x3381, 0x5381, 0x1381, 0x6381, 0x2381, 0x4381, 0x0381, 0x7d81, 0x3d81, 0x5d81, 0x1d81, 0x6d81, 0x2781, 0x0781, 0x7b81, 0x2d81, 0x3581, 0x5581, 0x1581, 0x6581, 0x2581, 0x4581, 0x0581, 0x7981, 0x7581, 0x4d81, 0x1981, 0x6981, 0x2981, 0x4981, 0x5981, 0x0981, 0x3181, 0x7181, 0x24c3, 0x3981, 0x0d81, 0x2241, 0x6241, 0x1241, 0x0083, 0x4083, 0x2083, 0x6083, 0x2883, 0x4241, 0x6883, 0x1083, 0x5083, 0x3083, 0x3883, 0x5441, 0x3441, 0x7441, 0x2c41, 0x6c41, 0x7083, 0x0883, 0x3483, 0x14c3, 0x1c83, 0x0cc3, 0x00c3, 0x0681, 0x0283, 0x0281, 0x0143, 0x0081, 0x0043, 0x0101, 0x00c1, 0x0078, 0x003d, 0x0023, 0x0021, 0x0013, 0x0011, 0x0008, 0x0009, 0x0000, 0x0002, }; uint8 Code3Len[256] = { 3, 3, 3, 4, 4, 5, 6, 6, 7, 7, 8, 8, 9, 9, 9, 10, 10, 11, 12, 12, 13, 13, 14, 14, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 14, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 14, 13, 13, 12, 12, 12, 11, 11, 10, 10, 9, 9, 8, 8, 7, 6, 6, 5, 5, 5, 4, 4, 3, }; /* dumped from 'exp06.code' */ uint16 Code4Bits[256] = { 0x0005, 0x0007, 0x0004, 0x0001, 0x0010, 0x000a, 0x0009, 0x0018, 0x001a, 0x0019, 0x0038, 0x003a, 0x0039, 0x0078, 0x007a, 0x0000, 0x0002, 0x0006, 0x0300, 0x0102, 0x0306, 0x0480, 0x0482, 0x0486, 0x0280, 0x0282, 0x0682, 0x0a80, 0x1680, 0x1d46, 0x0b46, 0x3e80, 0x2d46, 0x2680, 0x0680, 0x3646, 0x5646, 0x1646, 0x6646, 0x2646, 0x4646, 0x0646, 0x7a46, 0x3a46, 0x5a46, 0x1a46, 0x6a46, 0x2a46, 0x4a46, 0x0a46, 0x7246, 0x3246, 0x5246, 0x1246, 0x6246, 0x2246, 0x4246, 0x0246, 0x7c46, 0x3c46, 0x5c46, 0x1c46, 0x6c46, 0x2c46, 0x4c46, 0x0c46, 0x7446, 0x3446, 0x5446, 0x1446, 0x6446, 0x2446, 0x4446, 0x0446, 0x7846, 0x3846, 0x5846, 0x1846, 0x6846, 0x2846, 0x4846, 0x0846, 0x7046, 0x3046, 0x5046, 0x1046, 0x6046, 0x2046, 0x4046, 0x0046, 0x7f86, 0x3f86, 0x5f86, 0x1f86, 0x6f86, 0x2f86, September 1999 (revised for MGS) 38 0x4f86, 0x0f86, 0x7786, 0x0546, 0x2546, 0x4546, 0x6786, 0x2786, 0x4786, 0x0786, 0x7b86, 0x3b86, 0x5b86, 0x1b86, 0x6b86, 0x2b86, 0x7646, 0x3786, 0x7386, 0x1546, 0x6546, 0x1386, 0x6386, 0x2386, 0x4386, 0x0386, 0x3546, 0x5546, 0x5d86, 0x1d86, 0x7546, 0x0d46, 0x4d46, 0x0d86, 0x7586, 0x3586, 0x5586, 0x1586, 0x6586, 0x2586, 0x4586, 0x0586, 0x7986, 0x3986, 0x5986, 0x1986, 0x6986, 0x2986, 0x4986, 0x5786, 0x4b86, 0x3186, 0x5186, 0x1186, 0x6186, 0x0b86, 0x0986, 0x0186, 0x7e86, 0x3e86, 0x5e86, 0x1e86, 0x6e86, 0x2e86, 0x4e86, 0x0e86, 0x7686, 0x3686, 0x5686, 0x1686, 0x6686, 0x2686, 0x7186, 0x2186, 0x7a86, 0x4186, 0x4686, 0x1a86, 0x6a86, 0x2a86, 0x4a86, 0x0a86, 0x7286, 0x0686, 0x3a86, 0x5a86, 0x3286, 0x2286, 0x4286, 0x5286, 0x6680, 0x0286, 0x6286, 0x1286, 0x1786, 0x0e46, 0x4e46, 0x2e46, 0x4d86, 0x2d86, 0x6d86, 0x3d86, 0x7d86, 0x5386, 0x3386, 0x6e46, 0x1e46, 0x5e46, 0x3e46, 0x7e46, 0x0146, 0x4146, 0x2146, 0x6146, 0x1146, 0x5146, 0x3146, 0x7146, 0x0946, 0x4946, 0x2946, 0x6946, 0x1946, 0x5946, 0x3946, 0x7946, 0x3346, 0x4680, 0x1346, 0x1e80, 0x1b46, 0x0346, 0x0e80, 0x1a80, 0x0e82, 0x0a82, 0x0746, 0x0086, 0x0082, 0x0080, 0x0106, 0x0302, 0x0100, 0x0182, 0x0180, 0x00c6, 0x00fa, 0x00f8, 0x0079, 0x0042, 0x0040, 0x0026, 0x0022, 0x0020, 0x0016, 0x0012, 0x0008, 0x000e, 0x000c, 0x0003, }; uint8 Code4Len[256] = { 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 9, 9, 10, 10, 10, 11, 11, 11, 12, 12, 12, 13, 13, 13, 13, 14, 14, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 14, 15, 14, 14, 13, 13, 13, 13, 12, 12, 11, 11, 11, 11, 10, 10, 10, 9, 9, 8, 8, 8, 7, 7, 7, 6, 6, 6, 5, 5, 5, 4, 4, 3, }; /* dumped from 'exp08.code' */ uint16 Code5Bits[256] = { 0x0008, 0x000c, 0x0006, 0x000d, 0x0007, 0x0012, 0x0009, 0x000b, 0x0010, 0x001a, 0x0019, 0x001b, 0x0040, 0x004a, 0x0041, 0x007b, 0x00f0, 0x00fa, 0x0003, 0x00c3, 0x000a, 0x0001, 0x0083, 0x0100, 0x010a, 0x028a, 0x0183, 0x0300, 0x030a, 0x0301, 0x0043, 0x0480, 0x008a, 0x0081, 0x0a43, 0x1080, 0x048a, 0x0679, 0x0643, 0x1e43, 0x148a, 0x3a79, 0x0c80, 0x1643, 0x4079, 0x0079, 0x7f81, 0x3f81, 0x5f81, 0x1f81, 0x6f81, 0x2f81, 0x4f81, 0x0f81, 0x7781, 0x3781, 0x5781, 0x1781, 0x6781, 0x2781, 0x4781, 0x0781, 0x7b81, 0x3b81, 0x5b81, 0x1b81, 0x6b81, 0x2b81, 0x4b81, 0x0b81, 0x7381, 0x3381, 0x5381, 0x1381, 0x6381, 0x2381, 0x4381, 0x0381, 0x7d81, 0x3d81, September 1999 (revised for MGS) 39 0x5d81, 0x1d81, 0x6d81, 0x2d81, 0x4d81, 0x0d81, 0x7581, 0x3581, 0x5581, 0x1581, 0x6581, 0x2581, 0x4581, 0x0581, 0x6c79, 0x6079, 0x7c79, 0x3c79, 0x6279, 0x2279, 0x3279, 0x5279, 0x7181, 0x3181, 0x5181, 0x1181, 0x6181, 0x2079, 0x7981, 0x0181, 0x7e81, 0x3e81, 0x5e81, 0x1e81, 0x6e81, 0x0a79, 0x7279, 0x0e81, 0x7681, 0x3681, 0x5681, 0x1681, 0x2a79, 0x4a79, 0x4681, 0x0681, 0x6a79, 0x1a79, 0x5a79, 0x1a81, 0x6a81, 0x2a81, 0x4a81, 0x3981, 0x2181, 0x3281, 0x5281, 0x1281, 0x6281, 0x2281, 0x4181, 0x0a81, 0x7c81, 0x3c81, 0x5c81, 0x1c81, 0x6c81, 0x2c81, 0x4c81, 0x0c81, 0x7481, 0x3481, 0x5481, 0x7281, 0x4281, 0x2481, 0x0281, 0x1481, 0x7881, 0x3881, 0x5881, 0x1881, 0x6881, 0x6481, 0x4481, 0x2881, 0x748a, 0x4881, 0x0881, 0x4c80, 0x348a, 0x0481, 0x6981, 0x1981, 0x5981, 0x1079, 0x5079, 0x3079, 0x7079, 0x1c79, 0x4981, 0x2981, 0x5c79, 0x0879, 0x4879, 0x2879, 0x6879, 0x0279, 0x0981, 0x4279, 0x1879, 0x5879, 0x3879, 0x1279, 0x5a81, 0x3a81, 0x7a81, 0x2681, 0x6681, 0x4e81, 0x2e81, 0x7879, 0x0479, 0x4479, 0x2479, 0x6479, 0x1479, 0x5479, 0x3479, 0x7479, 0x0c79, 0x4c79, 0x2c79, 0x3643, 0x2e79, 0x0e79, 0x2c80, 0x0e43, 0x1e79, 0x1679, 0x1c80, 0x0080, 0x0243, 0x0c8a, 0x088a, 0x0880, 0x0443, 0x0701, 0x070a, 0x0700, 0x0383, 0x0101, 0x0280, 0x0143, 0x0179, 0x018a, 0x0180, 0x0000, 0x00f9, 0x007a, 0x0070, 0x003b, 0x0039, 0x003a, 0x0030, 0x0023, 0x0021, 0x002a, 0x0020, 0x0013, 0x0011, 0x0002, 0x000f, 0x0005, 0x000e, 0x0004, }; uint8 Code5Len[256] = { 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 13, 13, 14, 14, 15, 14, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 14, 14, 14, 14, 13, 13, 13, 13, 13, 12, 12, 12, 12, 11, 11, 11, 11, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 4, 4, 4, 4, }; /* dumped from 'exp10.code' */ uint16 Code6Bits[256] = { 0x000a, 0x000e, 0x0005, 0x000f, 0x0008, 0x001c, 0x0011, 0x000b, 0x0010, 0x0014, 0x0012, 0x0019, 0x0023, 0x0040, 0x0044, 0x0032, 0x0039, 0x003b, 0x0070, 0x0084, 0x0072, 0x00f9, 0x00fb, 0x01f0, 0x01f4, 0x00f2, 0x0103, 0x0000, 0x0204, 0x0002, 0x0009, 0x0183, 0x0500, 0x0304, 0x0302, 0x0509, 0x0383, 0x0900, 0x0f04, 0x0702, 0x0003, 0x0f83, 0x0004, 0x0804, 0x1f02, 0x1789, 0x1783, 0x0f00, 0x2102, 0x0102, 0x1803, 0x3100, 0x1100, 0x3803, 0x6e89, 0x2e89, 0x4e89, 0x0e89, 0x7689, 0x3689, 0x5689, 0x1689, 0x6689, 0x2689, September 1999 (revised for MGS) 40 0x4689, 0x0689, 0x7a89, 0x3a89, 0x5a89, 0x1a89, 0x6a89, 0x2a89, 0x4a89, 0x0a89, 0x7289, 0x3289, 0x5289, 0x1289, 0x6289, 0x2289, 0x4289, 0x0289, 0x7c89, 0x3c89, 0x5c89, 0x1c89, 0x6c89, 0x2c89, 0x4c89, 0x0c89, 0x7589, 0x3589, 0x6d89, 0x2d89, 0x7d89, 0x3d89, 0x6389, 0x2389, 0x7389, 0x3389, 0x2b89, 0x4b89, 0x6889, 0x3e89, 0x5e89, 0x0889, 0x7089, 0x3089, 0x5089, 0x1089, 0x6089, 0x2089, 0x4089, 0x0089, 0x7f09, 0x1b89, 0x6b89, 0x1f09, 0x6f09, 0x2f09, 0x4f09, 0x0f09, 0x3b89, 0x5b89, 0x5709, 0x1709, 0x7b89, 0x0789, 0x4789, 0x7709, 0x7b09, 0x3b09, 0x5b09, 0x1b09, 0x6b09, 0x2b09, 0x4b09, 0x3709, 0x4709, 0x3309, 0x0709, 0x0b09, 0x6309, 0x2309, 0x4309, 0x7309, 0x5309, 0x0309, 0x7102, 0x3102, 0x5804, 0x1309, 0x5489, 0x1e89, 0x7489, 0x1489, 0x6489, 0x7e89, 0x5589, 0x0189, 0x4189, 0x2189, 0x6189, 0x0d89, 0x4489, 0x2489, 0x4d89, 0x1189, 0x5189, 0x3189, 0x7189, 0x1d89, 0x7889, 0x0489, 0x5d89, 0x0989, 0x4989, 0x2989, 0x6989, 0x0389, 0x5889, 0x3889, 0x4389, 0x1989, 0x5989, 0x3989, 0x7989, 0x1389, 0x1889, 0x5389, 0x0589, 0x4589, 0x2589, 0x0b89, 0x4889, 0x2709, 0x6709, 0x2889, 0x3489, 0x5f09, 0x3f09, 0x6589, 0x1589, 0x5100, 0x1804, 0x7100, 0x2789, 0x3804, 0x1102, 0x2f00, 0x0783, 0x0803, 0x0f02, 0x1004, 0x1f00, 0x0100, 0x0f89, 0x0902, 0x0704, 0x0700, 0x0403, 0x0109, 0x0502, 0x0404, 0x0300, 0x0203, 0x0209, 0x0202, 0x0104, 0x0200, 0x0083, 0x01f2, 0x00f4, 0x00f0, 0x007b, 0x0079, 0x0082, 0x0074, 0x0080, 0x0043, 0x0049, 0x0042, 0x0034, 0x0030, 0x001b, 0x0029, 0x0022, 0x0024, 0x0020, 0x0013, 0x0001, 0x000c, 0x0018, 0x0007, 0x000d, 0x0006, }; uint8 Code6Len[256] = { 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 14, 14, 14, 14, 15, 15, 14, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 14, 14, 14, 14, 13, 13, 13, 13, 13, 13, 12, 12, 12, 12, 11, 11, 11, 11, 11, 10, 10, 10, 10, 10, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, }; /* LOSSY -- dumped from 'tmspread10.code' */ uint16 Code7Bits[256] = { 0x0005, 0x0000, 0x0000, 0x0000, 0x0000, 0x0000, 0x0001, 0x0001, 0x0001, 0x0001, 0x0001, 0x0001, 0x0001, 0x0001, 0x0001, 0x0001, 0x0001, 0x0001, 0x0001, 0x0001, 0x0001, 0x0001, 0x0001, 0x0001, 0x0001, 0x0001, 0x0001, 0x0001, 0x0001, 0x0001, 0x0001, 0x0001, 0x0001, 0x0001, 0x0001, 0x0001, 0x0001, 0x0001, 0x0001, 0x0001, 0x0001, 0x0001, 0x0001, 0x0001, 0x0001, 0x0001, 0x0001, 0x0001, September 1999 (revised for MGS) 41 0x0001, 0x0001, 0x0001, 0x0001, 0x0001, 0x0001, 0x0001, 0x0001, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x001d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x000d, 0x0003, 0x0003, 0x0003, 0x0003, 0x0003, 0x0003, 0x0003, 0x0003, 0x0003, 0x0003, 0x0003, 0x0003, 0x0003, 0x0003, 0x0003, 0x0003, 0x0003, 0x0003, 0x0003, 0x0003, 0x0003, 0x0003, 0x0003, 0x0003, 0x0003, 0x0003, 0x0003, 0x0003, 0x0003, 0x0003, 0x0003, 0x0003, 0x0003, 0x0003, 0x0003, 0x0003, 0x0003, 0x0003, 0x0003, 0x0003, 0x0003, 0x0003, 0x0003, 0x0003, 0x0003, 0x0003, 0x0003, 0x0003, 0x0003, 0x0003, 0x0002, 0x0002, 0x0002, 0x0002, 0x0002, }; uint8 Code7Len[256] = { 4, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, }; /* dumped from 'tmspread10.requant' */ uint8 Code7Requant[256] = { 0, 1, 1, 1, 1, 1, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10 , 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10 , 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10 , 10, 10, 10, 10, 10, 10, 10, 10, 100, 100, 100, 100, 100, 100, 100, 100 , September 1999 (revised for MGS) 42 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100 , 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100 , 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100 , 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100 , 156, 156, 156, 156, 156, 156, 156, 156, 156, 156, 156, 156, 156, 156, 156, 156 , 156, 156, 156, 156, 156, 156, 156, 156, 156, 156, 156, 156, 156, 156, 156, 156 , 156, 156, 156, 156, 156, 156, 156, 156, 156, 156, 156, 156, 156, 156, 156, 156 , 156, 156, 156, 156, 156, 156, 156, 156, 156, 156, 156, 156, 156, 156, 156, 156 , 156, 156, 156, 156, 156, 156, 156, 156, 156, 246, 246, 246, 246, 246, 246, 246 , 246, 246, 246, 246, 246, 246, 246, 246, 246, 246, 246, 246, 246, 246, 246, 246 , 246, 246, 246, 246, 246, 246, 246, 246, 246, 246, 246, 246, 246, 246, 246, 246 , 246, 246, 246, 246, 246, 246, 246, 246, 246, 246, 246, 255, 255, 255, 255, 255 , }; /* dumped from 'default.requant' */ /* REFINE this could be calculated instead of put into PROM (obviously) */ uint8 CodeIdentRequant[256] = { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 , 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31 , 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47 , 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63 , 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79 , 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95 , 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111 , 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127 , 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143 , 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159 , 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175 , 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191 , 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207 , 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223 , 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239 , 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255 , }; 9. Appendix E: converting Huffman tables to tree form typedef struct ht_node { int value; struct ht_node *zero, *one; } Huffman_node; Huffman_node *ht_insert(root, value, code, len) Huffman_node *root; int value, code, len; { int bit; Huffman_node **branch; if(!root) { root = (Huffman_node *) malloc(sizeof(Huffman_node)); root->zero = root->one = 0; September 1999 (revised for MGS) 43 } if(len == 0) { root->value = value; } else { bit = code&0x1; if(bit == 0) branch = &root->zero; else branch = &root->one; if(*branch == 0) { *branch = (Huffman_node *) malloc(sizeof(Huffman_node)); (*branch)->zero = 0; (*branch)->one = 0; } ht_insert(*branch, value, code>>1, len-1); } return root; } Huffman_node *ht_tree_gen_predictive(i) int i; { Huffman_node *tree = 0; uint16 *code; uint8 *len; uint8 *requant; code = CodeBitsVec[i]; len = CodeLenVec[i]; requant = CodeRequantVec[i]; tree = ht_insert(tree, requant[0], code[0], len[0]); for(i = 1; i < 128; i++) { if(requant[i] != requant[i-1]) tree = ht_insert(tree, requant[i], code[i], len[i]); } tree = ht_insert(tree, requant[255], code[255], len[255]); for(i = 254; i >= 128; i--) { if(requant[i] != requant[i+1]) tree = ht_insert(tree, requant[i], code[i], len[i]); } return tree; } Huffman_node *ht_tree_gen_transform(i) int i; { Huffman_node *tree = 0; uint32 *code; September 1999 (revised for MGS) 44 uint8 *len; int NCodes; code = CodeBitsVec[i]; len = CodeLenVec[i]; NCodes = CodeSizes[i]; for(i = 0; i < NCodes; i++) { tree = ht_insert(tree, i, code[i], len[i]); } return tree; } 10. Appendix F: global map crosstrack summing tables These tables map output pixel in the global map to the number of input pixels summed and the offset of these pixels from the starting pixel. Using the EDIT_MODE_ID to deter- mine the start pixel of the image, the mapping to and from detector pixel and global map pixel is determined. The tables have four columns: the output pixel number start- ing from 0, the summing for that pixel, and the starting and ending hardware pixel offsets relative to EDIT_MODE_ID that are summed to form the output pixel. 7.5 km/pixel nominal resolution; output width 384. 0 1 0 0 1 1 1 1 2 1 2 2 3 1 3 3 4 1 4 4 5 1 5 5 6 1 6 6 7 1 7 7 8 1 8 8 9 1 9 9 10 1 10 10 11 1 11 11 12 1 12 12 13 1 13 13 14 1 14 14 15 1 15 15 16 1 16 16 17 1 17 17 18 1 18 18 19 1 19 19 20 1 20 20 21 1 21 21 22 1 22 22 September 1999 (revised for MGS) 45 23 1 23 23 24 1 24 24 25 1 25 25 26 1 26 26 27 1 27 27 28 1 28 28 29 1 29 29 30 1 30 30 31 1 31 31 32 1 32 32 33 1 33 33 34 1 34 34 35 1 35 35 36 1 36 36 37 1 37 37 38 1 38 38 39 1 39 39 40 1 40 40 41 1 41 41 42 1 42 42 43 1 43 43 44 1 44 44 45 1 45 45 46 1 46 46 47 1 47 47 48 1 48 48 49 2 49 50 50 2 51 52 51 2 53 54 52 2 55 56 53 2 57 58 54 2 59 60 55 2 61 62 56 2 63 64 57 2 65 66 58 2 67 68 59 2 69 70 60 2 71 72 61 2 73 74 62 2 75 76 63 2 77 78 64 2 79 80 65 2 81 82 66 2 83 84 67 2 85 86 68 2 87 88 69 2 89 90 70 2 91 92 71 2 93 94 72 3 95 97 73 3 98 100 74 3 101 103 75 3 104 106 September 1999 (revised for MGS) 46 76 3 107 109 77 3 110 112 78 3 113 115 79 3 116 118 80 3 119 121 81 3 122 124 82 3 125 127 83 3 128 130 84 3 131 133 85 3 134 136 86 3 137 139 87 3 140 142 88 4 143 146 89 4 147 150 90 4 151 154 91 4 155 158 92 4 159 162 93 4 163 166 94 4 167 170 95 4 171 174 96 4 175 178 97 4 179 182 98 4 183 186 99 4 187 190 100 5 191 195 101 5 196 200 102 5 201 205 103 5 206 210 104 5 211 215 105 5 216 220 106 5 221 225 107 5 226 230 108 5 231 235 109 6 236 241 110 6 242 247 111 6 248 253 112 6 254 259 113 7 260 266 114 7 267 273 115 7 274 280 116 7 281 287 117 7 288 294 118 7 295 301 119 7 302 308 120 8 309 316 121 8 317 324 122 8 325 332 123 8 333 340 124 8 341 348 125 8 349 356 126 9 357 365 127 9 366 374 128 9 375 383 September 1999 (revised for MGS) 47 129 9 384 392 130 9 393 401 131 10 402 411 132 10 412 421 133 10 422 431 134 10 432 441 135 10 442 451 136 11 452 462 137 11 463 473 138 11 474 484 139 11 485 495 140 12 496 507 141 13 508 520 142 13 521 533 143 13 534 546 144 13 547 559 145 14 560 573 146 14 574 587 147 14 588 601 148 14 602 615 149 15 616 630 150 15 631 645 151 15 646 660 152 16 661 676 153 16 677 692 154 16 693 708 155 17 709 725 156 17 726 742 157 18 743 760 158 18 761 778 159 19 779 797 160 19 798 816 161 19 817 835 162 20 836 855 163 20 856 875 164 20 876 895 165 21 896 916 166 21 917 937 167 21 938 958 168 22 959 980 169 22 981 1002 170 23 1003 1025 171 24 1026 1049 172 24 1050 1073 173 24 1074 1097 174 25 1098 1122 175 25 1123 1147 176 25 1148 1172 177 25 1173 1197 178 26 1198 1223 179 26 1224 1249 180 26 1250 1275 181 26 1276 1301 September 1999 (revised for MGS) 48 182 26 1302 1327 183 27 1328 1354 184 27 1355 1381 185 27 1382 1408 186 27 1409 1435 187 27 1436 1462 188 27 1463 1489 189 27 1490 1516 190 27 1517 1543 191 27 1544 1570 192 27 1571 1597 193 27 1598 1624 194 27 1625 1651 195 27 1652 1678 196 27 1679 1705 197 27 1706 1732 198 27 1733 1759 199 27 1760 1786 200 27 1787 1813 201 26 1814 1839 202 26 1840 1865 203 26 1866 1891 204 26 1892 1917 205 26 1918 1943 206 25 1944 1968 207 25 1969 1993 208 25 1994 2018 209 25 2019 2043 210 24 2044 2067 211 24 2068 2091 212 24 2092 2115 213 23 2116 2138 214 22 2139 2160 215 22 2161 2182 216 21 2183 2203 217 21 2204 2224 218 21 2225 2245 219 20 2246 2265 220 20 2266 2285 221 20 2286 2305 222 19 2306 2324 223 19 2325 2343 224 19 2344 2362 225 18 2363 2380 226 18 2381 2398 227 17 2399 2415 228 17 2416 2432 229 16 2433 2448 230 16 2449 2464 231 16 2465 2480 232 15 2481 2495 233 15 2496 2510 234 15 2511 2525 September 1999 (revised for MGS) 49 235 14 2526 2539 236 14 2540 2553 237 14 2554 2567 238 14 2568 2581 239 13 2582 2594 240 13 2595 2607 241 13 2608 2620 242 13 2621 2633 243 12 2634 2645 244 11 2646 2656 245 11 2657 2667 246 11 2668 2678 247 11 2679 2689 248 10 2690 2699 249 10 2700 2709 250 10 2710 2719 251 10 2720 2729 252 10 2730 2739 253 9 2740 2748 254 9 2749 2757 255 9 2758 2766 256 9 2767 2775 257 9 2776 2784 258 8 2785 2792 259 8 2793 2800 260 8 2801 2808 261 8 2809 2816 262 8 2817 2824 263 8 2825 2832 264 7 2833 2839 265 7 2840 2846 266 7 2847 2853 267 7 2854 2860 268 7 2861 2867 269 7 2868 2874 270 7 2875 2881 271 6 2882 2887 272 6 2888 2893 273 6 2894 2899 274 6 2900 2905 275 5 2906 2910 276 5 2911 2915 277 5 2916 2920 278 5 2921 2925 279 5 2926 2930 280 5 2931 2935 281 5 2936 2940 282 5 2941 2945 283 5 2946 2950 284 4 2951 2954 285 4 2955 2958 286 4 2959 2962 287 4 2963 2966 September 1999 (revised for MGS) 50 288 4 2967 2970 289 4 2971 2974 290 4 2975 2978 291 4 2979 2982 292 4 2983 2986 293 4 2987 2990 294 4 2991 2994 295 4 2995 2998 296 3 2999 3001 297 3 3002 3004 298 3 3005 3007 299 3 3008 3010 300 3 3011 3013 301 3 3014 3016 302 3 3017 3019 303 3 3020 3022 304 3 3023 3025 305 3 3026 3028 306 3 3029 3031 307 3 3032 3034 308 3 3035 3037 309 3 3038 3040 310 3 3041 3043 311 3 3044 3046 312 2 3047 3048 313 2 3049 3050 314 2 3051 3052 315 2 3053 3054 316 2 3055 3056 317 2 3057 3058 318 2 3059 3060 319 2 3061 3062 320 2 3063 3064 321 2 3065 3066 322 2 3067 3068 323 2 3069 3070 324 2 3071 3072 325 2 3073 3074 326 2 3075 3076 327 2 3077 3078 328 2 3079 3080 329 2 3081 3082 330 2 3083 3084 331 2 3085 3086 332 2 3087 3088 333 2 3089 3090 334 2 3091 3092 335 1 3093 3093 336 1 3094 3094 337 1 3095 3095 338 1 3096 3096 339 1 3097 3097 340 1 3098 3098 September 1999 (revised for MGS) 51 341 1 3099 3099 342 1 3100 3100 343 1 3101 3101 344 1 3102 3102 345 1 3103 3103 346 1 3104 3104 347 1 3105 3105 348 1 3106 3106 349 1 3107 3107 350 1 3108 3108 351 1 3109 3109 352 1 3110 3110 353 1 3111 3111 354 1 3112 3112 355 1 3113 3113 356 1 3114 3114 357 1 3115 3115 358 1 3116 3116 359 1 3117 3117 360 1 3118 3118 361 1 3119 3119 362 1 3120 3120 363 1 3121 3121 364 1 3122 3122 365 1 3123 3123 366 1 3124 3124 367 1 3125 3125 368 1 3126 3126 369 1 3127 3127 370 1 3128 3128 371 1 3129 3129 372 1 3130 3130 373 1 3131 3131 374 1 3132 3132 375 1 3133 3133 376 1 3134 3134 377 1 3135 3135 378 1 3136 3136 379 1 3137 3137 380 1 3138 3138 381 1 3139 3139 382 1 3140 3140 383 1 3141 3141 3.75 km/pixel nominal resolution; output width 768. 0 1 0 0 1 1 1 1 2 1 2 2 3 1 3 3 4 1 4 4 5 1 5 5 6 1 6 6 September 1999 (revised for MGS) 52 7 1 7 7 8 1 8 8 9 1 9 9 10 1 10 10 11 1 11 11 12 1 12 12 13 1 13 13 14 1 14 14 15 1 15 15 16 1 16 16 17 1 17 17 18 1 18 18 19 1 19 19 20 1 20 20 21 1 21 21 22 1 22 22 23 1 23 23 24 1 24 24 25 1 25 25 26 1 26 26 27 1 27 27 28 1 28 28 29 1 29 29 30 1 30 30 31 1 31 31 32 1 32 32 33 1 33 33 34 1 34 34 35 1 35 35 36 1 36 36 37 1 37 37 38 1 38 38 39 1 39 39 40 1 40 40 41 1 41 41 42 1 42 42 43 1 43 43 44 1 44 44 45 1 45 45 46 1 46 46 47 1 47 47 48 1 48 48 49 1 49 49 50 1 50 50 51 1 51 51 52 1 52 52 53 1 53 53 54 1 54 54 55 1 55 55 56 1 56 56 57 1 57 57 58 1 58 58 59 1 59 59 September 1999 (revised for MGS) 53 60 1 60 60 61 1 61 61 62 1 62 62 63 1 63 63 64 1 64 64 65 1 65 65 66 1 66 66 67 1 67 67 68 1 68 68 69 1 69 69 70 1 70 70 71 1 71 71 72 1 72 72 73 1 73 73 74 1 74 74 75 1 75 75 76 1 76 76 77 1 77 77 78 1 78 78 79 1 79 79 80 1 80 80 81 1 81 81 82 1 82 82 83 1 83 83 84 1 84 84 85 1 85 85 86 1 86 86 87 1 87 87 88 1 88 88 89 1 89 89 90 1 90 90 91 1 91 91 92 1 92 92 93 1 93 93 94 1 94 94 95 1 95 95 96 1 96 96 97 1 97 97 98 1 98 98 99 1 99 99 100 1 100 100 101 1 101 101 102 1 102 102 103 1 103 103 104 1 104 104 105 1 105 105 106 1 106 106 107 1 107 107 108 1 108 108 109 1 109 109 110 1 110 110 111 1 111 111 112 1 112 112 September 1999 (revised for MGS) 54 113 1 113 113 114 1 114 114 115 1 115 115 116 1 116 116 117 1 117 117 118 1 118 118 119 1 119 119 120 1 120 120 121 1 121 121 122 1 122 122 123 1 123 123 124 1 124 124 125 1 125 125 126 1 126 126 127 1 127 127 128 1 128 128 129 1 129 129 130 1 130 130 131 1 131 131 132 1 132 132 133 1 133 133 134 1 134 134 135 1 135 135 136 1 136 136 137 1 137 137 138 1 138 138 139 1 139 139 140 1 140 140 141 1 141 141 142 1 142 142 143 1 143 143 144 1 144 144 145 1 145 145 146 1 146 146 147 1 147 147 148 1 148 148 149 1 149 149 150 1 150 150 151 1 151 151 152 1 152 152 153 1 153 153 154 1 154 154 155 1 155 155 156 1 156 156 157 1 157 157 158 1 158 158 159 1 159 159 160 1 160 160 161 1 161 161 162 1 162 162 163 1 163 163 164 2 164 165 165 2 166 167 September 1999 (revised for MGS) 55 166 2 168 169 167 2 170 171 168 2 172 173 169 2 174 175 170 2 176 177 171 2 178 179 172 2 180 181 173 2 182 183 174 2 184 185 175 2 186 187 176 2 188 189 177 2 190 191 178 2 192 193 179 2 194 195 180 2 196 197 181 2 198 199 182 2 200 201 183 2 202 203 184 2 204 205 185 2 206 207 186 2 208 209 187 2 210 211 188 2 212 213 189 2 214 215 190 2 216 217 191 2 218 219 192 2 220 221 193 2 222 223 194 2 224 225 195 2 226 227 196 2 228 229 197 2 230 231 198 2 232 233 199 2 234 235 200 2 236 237 201 2 238 239 202 2 240 241 203 2 242 243 204 2 244 245 205 2 246 247 206 2 248 249 207 2 250 251 208 2 252 253 209 2 254 255 210 2 256 257 211 3 258 260 212 3 261 263 213 3 264 266 214 3 267 269 215 3 270 272 216 3 273 275 217 3 276 278 218 3 279 281 September 1999 (revised for MGS) 56 219 3 282 284 220 3 285 287 221 3 288 290 222 3 291 293 223 3 294 296 224 3 297 299 225 3 300 302 226 3 303 305 227 3 306 308 228 3 309 311 229 3 312 314 230 3 315 317 231 3 318 320 232 3 321 323 233 3 324 326 234 4 327 330 235 4 331 334 236 4 335 338 237 4 339 342 238 4 343 346 239 4 347 350 240 4 351 354 241 4 355 358 242 4 359 362 243 4 363 366 244 4 367 370 245 4 371 374 246 4 375 378 247 4 379 382 248 4 383 386 249 4 387 390 250 4 391 394 251 4 395 398 252 4 399 402 253 4 403 406 254 4 407 410 255 4 411 414 256 4 415 418 257 4 419 422 258 5 423 427 259 5 428 432 260 5 433 437 261 5 438 442 262 5 443 447 263 5 448 452 264 5 453 457 265 5 458 462 266 5 463 467 267 5 468 472 268 5 473 477 269 5 478 482 270 5 483 487 271 5 488 492 September 1999 (revised for MGS) 57 272 5 493 497 273 5 498 502 274 5 503 507 275 5 508 512 276 6 513 518 277 6 519 524 278 6 525 530 279 6 531 536 280 6 537 542 281 6 543 548 282 6 549 554 283 6 555 560 284 6 561 566 285 6 567 572 286 6 573 578 287 6 579 584 288 7 585 591 289 7 592 598 290 7 599 605 291 7 606 612 292 7 613 619 293 7 620 626 294 7 627 633 295 7 634 640 296 7 641 647 297 7 648 654 298 7 655 661 299 7 662 668 300 7 669 675 301 7 676 682 302 8 683 690 303 8 691 698 304 8 699 706 305 8 707 714 306 8 715 722 307 8 723 730 308 8 731 738 309 8 739 746 310 8 747 754 311 8 755 762 312 8 763 770 313 9 771 779 314 9 780 788 315 9 789 797 316 9 798 806 317 9 807 815 318 9 816 824 319 9 825 833 320 9 834 842 321 9 843 851 322 9 852 860 323 10 861 870 324 10 871 880 September 1999 (revised for MGS) 58 325 10 881 890 326 10 891 900 327 10 901 910 328 10 911 920 329 10 921 930 330 10 931 940 331 10 941 950 332 10 951 960 333 10 961 970 334 10 971 980 335 11 981 991 336 11 992 1002 337 11 1003 1013 338 11 1014 1024 339 11 1025 1035 340 11 1036 1046 341 12 1047 1058 342 12 1059 1070 343 12 1071 1082 344 12 1083 1094 345 12 1095 1106 346 12 1107 1118 347 12 1119 1130 348 12 1131 1142 349 12 1143 1154 350 12 1155 1166 351 12 1167 1178 352 12 1179 1190 353 12 1191 1202 354 12 1203 1214 355 12 1215 1226 356 13 1227 1239 357 13 1240 1252 358 13 1253 1265 359 13 1266 1278 360 13 1279 1291 361 13 1292 1304 362 13 1305 1317 363 13 1318 1330 364 13 1331 1343 365 13 1344 1356 366 13 1357 1369 367 13 1370 1382 368 13 1383 1395 369 13 1396 1408 370 13 1409 1421 371 13 1422 1434 372 13 1435 1447 373 13 1448 1460 374 13 1461 1473 375 13 1474 1486 376 13 1487 1499 377 13 1500 1512 September 1999 (revised for MGS) 59 378 13 1513 1525 379 13 1526 1538 380 13 1539 1551 381 13 1552 1564 382 13 1565 1577 383 13 1578 1590 384 13 1591 1603 385 13 1604 1616 386 13 1617 1629 387 13 1630 1642 388 13 1643 1655 389 13 1656 1668 390 13 1669 1681 391 13 1682 1694 392 13 1695 1707 393 13 1708 1720 394 13 1721 1733 395 13 1734 1746 396 13 1747 1759 397 13 1760 1772 398 13 1773 1785 399 13 1786 1798 400 13 1799 1811 401 13 1812 1824 402 13 1825 1837 403 13 1838 1850 404 13 1851 1863 405 13 1864 1876 406 13 1877 1889 407 13 1890 1902 408 13 1903 1915 409 13 1916 1928 410 13 1929 1941 411 13 1942 1954 412 12 1955 1966 413 12 1967 1978 414 12 1979 1990 415 12 1991 2002 416 12 2003 2014 417 12 2015 2026 418 12 2027 2038 419 12 2039 2050 420 12 2051 2062 421 12 2063 2074 422 12 2075 2086 423 12 2087 2098 424 12 2099 2110 425 12 2111 2122 426 12 2123 2134 427 11 2135 2145 428 11 2146 2156 429 11 2157 2167 430 11 2168 2178 September 1999 (revised for MGS) 60 431 11 2179 2189 432 11 2190 2200 433 10 2201 2210 434 10 2211 2220 435 10 2221 2230 436 10 2231 2240 437 10 2241 2250 438 10 2251 2260 439 10 2261 2270 440 10 2271 2280 441 10 2281 2290 442 10 2291 2300 443 10 2301 2310 444 10 2311 2320 445 9 2321 2329 446 9 2330 2338 447 9 2339 2347 448 9 2348 2356 449 9 2357 2365 450 9 2366 2374 451 9 2375 2383 452 9 2384 2392 453 9 2393 2401 454 9 2402 2410 455 8 2411 2418 456 8 2419 2426 457 8 2427 2434 458 8 2435 2442 459 8 2443 2450 460 8 2451 2458 461 8 2459 2466 462 8 2467 2474 463 8 2475 2482 464 8 2483 2490 465 8 2491 2498 466 7 2499 2505 467 7 2506 2512 468 7 2513 2519 469 7 2520 2526 470 7 2527 2533 471 7 2534 2540 472 7 2541 2547 473 7 2548 2554 474 7 2555 2561 475 7 2562 2568 476 7 2569 2575 477 7 2576 2582 478 7 2583 2589 479 7 2590 2596 480 6 2597 2602 481 6 2603 2608 482 6 2609 2614 483 6 2615 2620 September 1999 (revised for MGS) 61 484 6 2621 2626 485 6 2627 2632 486 6 2633 2638 487 6 2639 2644 488 6 2645 2650 489 6 2651 2656 490 6 2657 2662 491 6 2663 2668 492 5 2669 2673 493 5 2674 2678 494 5 2679 2683 495 5 2684 2688 496 5 2689 2693 497 5 2694 2698 498 5 2699 2703 499 5 2704 2708 500 5 2709 2713 501 5 2714 2718 502 5 2719 2723 503 5 2724 2728 504 5 2729 2733 505 5 2734 2738 506 5 2739 2743 507 5 2744 2748 508 5 2749 2753 509 5 2754 2758 510 4 2759 2762 511 4 2763 2766 512 4 2767 2770 513 4 2771 2774 514 4 2775 2778 515 4 2779 2782 516 4 2783 2786 517 4 2787 2790 518 4 2791 2794 519 4 2795 2798 520 4 2799 2802 521 4 2803 2806 522 4 2807 2810 523 4 2811 2814 524 4 2815 2818 525 4 2819 2822 526 4 2823 2826 527 4 2827 2830 528 4 2831 2834 529 4 2835 2838 530 4 2839 2842 531 4 2843 2846 532 4 2847 2850 533 4 2851 2854 534 3 2855 2857 535 3 2858 2860 536 3 2861 2863 September 1999 (revised for MGS) 62 537 3 2864 2866 538 3 2867 2869 539 3 2870 2872 540 3 2873 2875 541 3 2876 2878 542 3 2879 2881 543 3 2882 2884 544 3 2885 2887 545 3 2888 2890 546 3 2891 2893 547 3 2894 2896 548 3 2897 2899 549 3 2900 2902 550 3 2903 2905 551 3 2906 2908 552 3 2909 2911 553 3 2912 2914 554 3 2915 2917 555 3 2918 2920 556 3 2921 2923 557 2 2924 2925 558 2 2926 2927 559 2 2928 2929 560 2 2930 2931 561 2 2932 2933 562 2 2934 2935 563 2 2936 2937 564 2 2938 2939 565 2 2940 2941 566 2 2942 2943 567 2 2944 2945 568 2 2946 2947 569 2 2948 2949 570 2 2950 2951 571 2 2952 2953 572 2 2954 2955 573 2 2956 2957 574 2 2958 2959 575 2 2960 2961 576 2 2962 2963 577 2 2964 2965 578 2 2966 2967 579 2 2968 2969 580 2 2970 2971 581 2 2972 2973 582 2 2974 2975 583 2 2976 2977 584 2 2978 2979 585 2 2980 2981 586 2 2982 2983 587 2 2984 2985 588 2 2986 2987 589 2 2988 2989 September 1999 (revised for MGS) 63 590 2 2990 2991 591 2 2992 2993 592 2 2994 2995 593 2 2996 2997 594 2 2998 2999 595 2 3000 3001 596 2 3002 3003 597 2 3004 3005 598 2 3006 3007 599 2 3008 3009 600 2 3010 3011 601 2 3012 3013 602 2 3014 3015 603 2 3016 3017 604 1 3018 3018 605 1 3019 3019 606 1 3020 3020 607 1 3021 3021 608 1 3022 3022 609 1 3023 3023 610 1 3024 3024 611 1 3025 3025 612 1 3026 3026 613 1 3027 3027 614 1 3028 3028 615 1 3029 3029 616 1 3030 3030 617 1 3031 3031 618 1 3032 3032 619 1 3033 3033 620 1 3034 3034 621 1 3035 3035 622 1 3036 3036 623 1 3037 3037 624 1 3038 3038 625 1 3039 3039 626 1 3040 3040 627 1 3041 3041 628 1 3042 3042 629 1 3043 3043 630 1 3044 3044 631 1 3045 3045 632 1 3046 3046 633 1 3047 3047 634 1 3048 3048 635 1 3049 3049 636 1 3050 3050 637 1 3051 3051 638 1 3052 3052 639 1 3053 3053 640 1 3054 3054 641 1 3055 3055 642 1 3056 3056 September 1999 (revised for MGS) 64 643 1 3057 3057 644 1 3058 3058 645 1 3059 3059 646 1 3060 3060 647 1 3061 3061 648 1 3062 3062 649 1 3063 3063 650 1 3064 3064 651 1 3065 3065 652 1 3066 3066 653 1 3067 3067 654 1 3068 3068 655 1 3069 3069 656 1 3070 3070 657 1 3071 3071 658 1 3072 3072 659 1 3073 3073 660 1 3074 3074 661 1 3075 3075 662 1 3076 3076 663 1 3077 3077 664 1 3078 3078 665 1 3079 3079 666 1 3080 3080 667 1 3081 3081 668 1 3082 3082 669 1 3083 3083 670 1 3084 3084 671 1 3085 3085 672 1 3086 3086 673 1 3087 3087 674 1 3088 3088 675 1 3089 3089 676 1 3090 3090 677 1 3091 3091 678 1 3092 3092 679 1 3093 3093 680 1 3094 3094 681 1 3095 3095 682 1 3096 3096 683 1 3097 3097 684 1 3098 3098 685 1 3099 3099 686 1 3100 3100 687 1 3101 3101 688 1 3102 3102 689 1 3103 3103 690 1 3104 3104 691 1 3105 3105 692 1 3106 3106 693 1 3107 3107 694 1 3108 3108 695 1 3109 3109 September 1999 (revised for MGS) 65 696 1 3110 3110 697 1 3111 3111 698 1 3112 3112 699 1 3113 3113 700 1 3114 3114 701 1 3115 3115 702 1 3116 3116 703 1 3117 3117 704 1 3118 3118 705 1 3119 3119 706 1 3120 3120 707 1 3121 3121 708 1 3122 3122 709 1 3123 3123 710 1 3124 3124 711 1 3125 3125 712 1 3126 3126 713 1 3127 3127 714 1 3128 3128 715 1 3129 3129 716 1 3130 3130 717 1 3131 3131 718 1 3132 3132 719 1 3133 3133 720 1 3134 3134 721 1 3135 3135 722 1 3136 3136 723 1 3137 3137 724 1 3138 3138 725 1 3139 3139 726 1 3140 3140 727 1 3141 3141 728 1 3142 3142 729 1 3143 3143 730 1 3144 3144 731 1 3145 3145 732 1 3146 3146 733 1 3147 3147 734 1 3148 3148 735 1 3149 3149 736 1 3150 3150 737 1 3151 3151 738 1 3152 3152 739 1 3153 3153 740 1 3154 3154 741 1 3155 3155 742 1 3156 3156 743 1 3157 3157 744 1 3158 3158 745 1 3159 3159 746 1 3160 3160 747 1 3161 3161 748 1 3162 3162 September 1999 (revised for MGS) 66 749 1 3163 3163 750 1 3164 3164 751 1 3165 3165 752 1 3166 3166 753 1 3167 3167 754 1 3168 3168 755 1 3169 3169 756 1 3170 3170 757 1 3171 3171 758 1 3172 3172 759 1 3173 3173 760 1 3174 3174 761 1 3175 3175 762 1 3176 3176 763 1 3177 3177 764 1 3178 3178 765 1 3179 3179 766 1 3180 3180 767 1 3181 3181 September 1999 (revised for MGS) 67 Contents 1. Introduction ...................................... 1 1.1. Purpose ........................................ 1 1.2. Scope .......................................... 1 1.3. Applicable Documents ........................... 1 1.4. Functional Description ......................... 1 1.4.1. Data Content Summary ........................ 1 1.4.2. Source and Transfer Method .................. 2 1.4.3. Recipients and Utilization .................. 2 1.4.4. Pertinent Relationships with Other Inter- faces ............................................ 2 1.5. Assumptions and Constraints .................... 2 2. Environment ....................................... 3 2.1. Hardware Characteristics and Limitations ....... 3 2.1.1. Special Equipment and Device Interfaces ..... 3 2.1.2. Special Setup Requirements .................. 3 2.2. Interface Medium Characteristics ............... 3 2.3. Failure Protection, Detection, and Recovery .... 3 2.4. End-of-File Conventions ........................ 3 3. Access ............................................ 3 3.1. Access Tools ................................... 3 3.2. Input/Output Protocols ......................... 3 3.3. Timing and Sequencing Characteristics .......... 3 4. Detailed Interface Specifications ................. 3 4.1. Labeling and Identification .................... 3 4.2. Structure and Organization Overview ............ 4 4.3. Substructure Definition and Format ............. 5 4.3.1. Header/Trailer Description Details .......... 9 4.3.2. Data Description Details .................... 9 4.3.3. Data loss considerations .................... 14 4.4. Volume, Size, and Frequency Estimates .......... 15 5. Appendix A: radial order translation table ........ 15 6. Appendix B: transform coefficient Huffman code tables ........................................... 16 7. Appendix C: inverse DCT and WHT algorithms ........ 25 8. Appendix D: predictive Huffman code tables ........ 34 9. Appendix E: converting Huffman tables to tree form ............................................. 43 10. Appendix F: global map crosstrack summing tables ........................................... 45 September 1999 (revised for MGS) iii