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netcdf_file | = | header data | ||
header | = | magic numrecs dim_list gatt_list var_list | ||
magic | = | 'C' 'D' 'F' VERSION | ||
VERSION | = | \x01 | | //classic format (CDF-1) | |
\x02 | | //64-bit offset format (CDF-2) | |||
\x05 | //64-bit data format (CDF-5) | |||
numrecs | = | NON_NEG | STREAMING | //length of record dimension | |
dim_list | = | ABSENT | NC_DIMENSION nelems [dim ...] | ||
gatt_list | = | att_list | //global attributes | |
att_list | = | ABSENT | NC_ATTRIBUTE nelems [attr ...] | ||
var_list | = | ABSENT | NC_VARIABLE nelems [var ...] | ||
ABSENT | = | ZERO ZERO | | //list is not present (CDF-1 and CDF-2) | |
ZERO ZERO64 | //list is not present (CDF-5) | |||
ZERO | = | \x00 \x00 \x00 \x00 | //32-bit zero | |
ZERO64 | = | \x00 \x00 \x00 \x00 \x00 \x00 \x00 \x00 | //64-bit zero (CDF-5) | |
NC_DIMENSION | = | \x00 \x00 \x00 \x0A | //tag for list of dimensions | |
NC_VARIABLE | = | \x00 \x00 \x00 \x0B | //tag for list of variables | |
NC_ATTRIBUTE | = | \x00 \x00 \x00 \x0C | //tag for list of attributes | |
nelems | = | NON_NEG | //number of elements in following sequence | |
dim | = | name dim_length | ||
name | = | nelems namestring | ||
//Names a dimension, variable, or attribute. | ||||
//Names should match the regular expression | ||||
//([a-zA-Z0-9_]|{MUTF8})([^\x00-\x1F/\x7F-\xFF]|{MUTF8})* | ||||
//For other constraints, see "Note on names" below. | ||||
namestring | = | ID1 [IDN ...] padding | ||
ID1 | = | alphanumeric | '_' | ||
IDN | = | alphanumeric | special1 | special2 | ||
alphanumeric | = | lowercase | uppercase | numeric | MUTF8 | ||
lowercase | = | 'a'|'b'|'c'|'d'|'e'|'f'|'g'|'h'|'i'|'j'|'k'|'l'|'m'| | ||
'n'|'o'|'p'|'q'|'r'|'s'|'t'|'u'|'v'|'w'|'x'|'y'|'z' | ||||
uppercase | = | 'A'|'B'|'C'|'D'|'E'|'F'|'G'|'H'|'I'|'J'|'K'|'L'|'M'| | ||
'N'|'O'|'P'|'Q'|'R'|'S'|'T'|'U'|'V'|'W'|'X'|'Y'|'Z' | ||||
numeric | = | '0'|'1'|'2'|'3'|'4'|'5'|'6'|'7'|'8'|'9' | ||
special1 | = | '_'|'.'|'|''+'|'-' | //special1 chars have traditionally been | |
//permitted in CDF-1. | ||||
special2 | = | ' ' | '!' | '"' | '#' | '$' | '%' | '&' | '\'' | | //special2 chars are recently permitted in | |
'(' | ')' | '*' | ',' | ':' | ';' | '<' | '=' | | //names (and require escaping in CDL). | |||
'>' | '?' | '[' | '\\' | ']' | '^' | '`' | '{' | | //Note: '/' is not permitted. | |||
'|' | '}' | '~' | ||||
MUTF8 | = | <multibyte UTF-8 encoded> | //NFC-normalized Unicode character | |
dim_length | = | NON_NEG | //If zero, this is the record dimension. | |
//There can be at most one record dimension. | ||||
attr | = | name nc_type nelems [values ...] | ||
nc_type | = | NC_BYTE | | ||
NC_CHAR | | ||||
NC_SHORT | | ||||
NC_INT | | ||||
NC_FLOAT | | ||||
NC_DOUBLE | | ||||
NC_UBYTE | | ||||
NC_USHORT | | ||||
NC_UINT | | ||||
NC_INT64 | | ||||
NC_UINT64 | ||||
var | = | name nelems [dimid ...] vatt_list nc_type vsize begin | ||
//nelems is the dimensionality (rank) of the variable | ||||
//0 for scalar, 1 for vector, 2 for matrix, ... | ||||
dimid | = | NON_NEG | //Dimension ID (index into dim_list) for variable | |
//shape. We say this is a "record variable" if and only | ||||
//if the first dimension is the record dimension. | ||||
vatt_list | = | att_list | //Variable-specific attributes | |
vsize | = | NON_NEG | //Variable size. If not a record variable, the amount | |
//of space in bytes allocated to the variable's data. | ||||
//For record variables, it is the amount of space per | ||||
//record. See "Note on vsize", below. | ||||
begin | = | OFFSET | //Variable start location. The offset in bytes (seek | |
//index) in the file of the beginning of data for this. | ||||
//variable. | ||||
data | = | non_recs recs | ||
non_recs | = | [vardata ...] | //The data for all non-record variables, stored | |
//contiguously for each variable, in the same order the | ||||
//variables occur in the header. | ||||
vardata | = | [values ...] | //All data for a non-record variable, as a block of | |
//values of the same type as the variable, in row-major | ||||
//order (last dimension varying fastest). | ||||
recs | = | [record ...] | //The data for all record variables are stored | |
//interleaved at the end of the file. | ||||
record | = | [varslab ...] | //Each record consists of the n-th slab from each | |
//record variable, for example x[n,...], y[n,...], | ||||
//z[n,...] where the first index is the record number, | ||||
//which is the unlimited dimension index. | ||||
varslab | = | [values ...] | //One record of data for a variable, a block of values | |
//all of the same type as the variable in row-major | ||||
//order (last index varying fastest). | ||||
values | = | bytes | chars | shorts | ints | floats | doubles | | ||
ubytes | ushorts | uints | int64s | uint64s | ||||
string | = | nelems [chars] | ||
bytes | = | [BYTE ...] padding | ||
chars | = | [CHAR ...] padding | ||
shorts | = | [SHORT ...] padding | ||
ints | = | [INT ...] | ||
floats | = | [FLOAT ...] | ||
doubles | = | [DOUBLE ...] | ||
ubytes | = | [UBYTE ...] padding | ||
ushorts | = | [USHORT ...] padding | ||
uints | = | [UINT ...] | ||
int64s | = | [INT64 ...] | ||
uint64s | = | [UINT64 ...] | ||
padding | = | <0, 1, 2, or 3 bytes to next 4-byte boundary> | ||
//Header padding uses null (\x00) bytes. In data, padding | ||||
//uses variable's fill value. See "Note on padding" below | ||||
//for a special case. | ||||
NON_NEG | = | <non-negative INT> | | //for CDF-1 and CDF-2 formats | |
<non-negative INT64> | //for 64-bit data format (CDF-5) | |||
STREAMING | = | \xFF \xFF \xFF \xFF | | //for CDF-1 and CDF-2 formats | |
\xFF \xFF \xFF \xFF \xFF \xFF \xFF \xFF | //for CDF-5 format | |||
//Indicates indeterminate record count, allows streaming | ||||
//data | ||||
OFFSET | = | <non-negative INT> | | //for classic format (CDF-1) | |
<non-negative INT64> | //for CDF-2 and CDF-5 formats | |||
BYTE | = | <8-bit byte> | //See "Note on byte data" below. | |
CHAR | = | <8-bit byte> | //See "Note on char data" below. | |
SHORT | = | <16-bit signed integer, Bigendian, two's complement> | ||
INT | = | <32-bit signed integer, Bigendian, two's complement> | ||
FLOAT | = | <32-bit IEEE single-precision float, Bigendian> | ||
DOUBLE | = | <64-bit IEEE double-precision float, Bigendian> | ||
UBYTE | = | <8-bit unsigned byte> | ||
USHORT | = | <16-bit unsigned integer, Bigendian, two's complement> | ||
UINT | = | <32-bit unsigned integer, Bigendian, two's complement> | ||
INT64 | = | <64-bit signed integer, Bigendian, two's complement> | ||
UINT64 | = | <64-bit unsigned integer, Bigendian, two's complement> | ||
//following type tags are 32-bit integers | ||||
NC_BYTE | = | \x00 \x00 \x00 \x01 | //8-bit signed integers | |
NC_CHAR | = | \x00 \x00 \x00 \x02 | //text characters | |
NC_SHORT | = | \x00 \x00 \x00 \x03 | //16-bit signed integers | |
NC_INT | = | \x00 \x00 \x00 \x04 | //32-bit signed integers | |
NC_FLOAT | = | \x00 \x00 \x00 \x05 | //IEEE single precision floats | |
NC_DOUBLE | = | \x00 \x00 \x00 \x06 | //IEEE double precision floats | |
NC_UBYTE | = | \x00 \x00 \x00 \x07 | //unsigned 1 byte integer | |
NC_USHORT | = | \x00 \x00 \x00 \x08 | //unsigned 2-byte integer | |
NC_UINT | = | \x00 \x00 \x00 \x09 | //unsigned 4-byte integer | |
NC_INT64 | = | \x00 \x00 \x00 \x0A | //signed 8-byte integer | |
NC_UINT64 | = | \x00 \x00 \x00 \x0B | //unsigned 8-byte integer | |
//Default fill values for each type, may be overridden by | ||||
//variable attribute named `_FillValue'. See | ||||
//"Note on fill values" below. | ||||
FILL_CHAR | = | \x00 | //((char)0) null byte | |
FILL_BYTE | = | \x81 | //(signed char) -127 | |
FILL_SHORT | = | \x80 \x01 | //(short) -32767 | |
FILL_INT | = | \x80 \x00 \x00 \x01 | //(int) -2147483647 | |
FILL_FLOAT | = | \x7C \xF0 \x00 \x00 | //(float) 9.9692099683868690e+36 | |
FILL_DOUBLE | = | \x47 \x9E \x00 \x00 \x00 \x00 \x00 \x00 | //(double)9.9692099683868690e+36 | |
FILL_UBYTE | = | \xFF | //(255) | |
FILL_USHORT | = | \xFF \xFF | //(65535) | |
FILL_UINT | = | \xFF \xFF \xFF \xFF | //(4294967295U) | |
FILL_INT64 | = | \x80 \x00 \x00 \x00 \x00 \x00 \x00 \x02 | //((long long)-9223372036854775806LL) | |
FILL_UINT64 | = | \xFF \xFF \xFF \xFF \xFF \xFF \xFF \xFE | //((unsigned long long)18446744073709551614ULL) |
Note on vsize:This number is the product of the dimension lengths
(omitting the record dimension) and the number of bytes per value
(determined from the type), increased to the next multiple of 4, for
each variable. If a record variable, this is the amount of space per
record (except that, for backward compatibility, it always includes
padding to the next multiple of 4 bytes, even in the exceptional case
noted below under "Note on padding"). The netCDF "record size" is
calculated as the sum of the vsize
’s of all the record variables.
The vsize field is actually redundant, because its value may be computed from other information in the header. The 32-bit vsize field is not large enough to contain the size of variables that require more than 2^32 - 4 bytes, so 2^32 - 1 is used in the vsize field for such variables.
Note on names:CDF-1 enforces a more restricted set of characters in creating new names, but permits reading names containing arbitrary bytes. This specification extends the permitted characters in names to include multi-byte UTF-8 encoded Unicode and additional printing characters from the US-ASCII alphabet. The first character of a name must be alphanumeric, a multi-byte UTF-8 character, or ’_’ (reserved for special names with meaning to implementations, such as the "_FillValue" attribute). Subsequent characters may also include printing special characters, except for ’/’ which is not allowed in names. Names that have trailing space characters are also not permitted.
Implementations of all CDF formats must ensure that names are normalized according to Unicode NFC normalization rules during encoding as UTF-8 for storing in the file header. This is necessary to ensure that gratuitous differences in the representation of Unicode names do not cause anomalies in comparing files and querying data objects by name.
Note on streaming data:The largest possible record count, 2^32 - 1, is reserved to indicate an indeterminate number of records. This means that the number of records in the file must be determined by other means, such as reading them or computing the current number of records from the file length and other information in the header. It also means that the numrecs field in the header will not be updated as records are added to the file. [This feature is not yet implemented].
Note on padding:In the special case when there is only one record variable and it is of type character, byte, or short, no padding is used between record slabs, so records after the first record do not necessarily start on four-byte boundaries. However, as noted above under "Note on vsize, the vsize field is computed to include padding to the next multiple of 4 bytes. In this case, readers should ignore vsize and assume no padding. Writers should store vsize as if padding were included.
Note on byte data:It is possible to interpret byte data as either signed (-128 to 127) or unsigned (0 to 255). When reading byte data through an interface that converts it into another numeric type, the default interpretation is signed. There are various attribute conventions for specifying whether bytes represent signed or unsigned data, but no standard convention has been established. The variable attribute "_Unsigned" is reserved for this purpose in future implementations.
Note on char data:Although the characters used in netCDF names must be encoded as UTF-8, character data may use other encodings. The variable attribute "_Encoding" is reserved for this purpose in future implementations.
Note on fill values: Because data variables may be created before their values are written, and because values need not be written sequentially in a netCDF file, default "fill values" are defined for each type, for initializing data values before they are explicitly written. This makes it possible to detect reading values that were never written. The variable attribute "_FillValue", if present, overrides the default fill value for a variable. If _FillValue is defined then it should be scalar and of the same type as the variable.
Fill values are not required, however, because netCDF libraries have traditionally supported a "no fill" mode when writing, omitting the initialization of variable values with fill values. This makes the creation of large files faster, but also eliminates the possibility of detecting the inadvertent reading of values that haven’t been written.
The offset (position within the file) of a specified data value in a
CDF-1, CDF-2, or CDF-5 file is determined by
the variable start location (the offset in the begin
field), the
external type of the variable (the nc_type
field), and the
dimension indices (one for each of the variable’s dimensions) of the
value desired.
The external size in bytes of one data value for each possible
netCDF type, denoted extsize
below, is:
NC_BYTE | 1 |
NC_CHAR | 1 |
NC_SHORT | 2 |
NC_INT | 4 |
NC_FLOAT | 4 |
NC_DOUBLE | 8 |
NC_UBYTE | 1 |
NC_USHORT | 2 |
NC_UINT | 4 |
NC_INT64 | 8 |
NC_UINT64 | 8 |
The record size, denoted by recsize
below, is the sum of the vsize
fields of record variables (variables that use the unlimited
dimension), using the actual value determined by dimension sizes and
variable type in case the vsize
field is too small for the variable
size.
To compute the offset of a value relative to the beginning of a variable, it is helpful to precompute a “product vector” from the dimension lengths. Form the products of the dimension lengths for the variable from right to left, skipping the leftmost (record) dimension for record variables, and storing the results as the product vector for each variable.
For example:
Non-record variable: dimension lengths: [ 5 3 2 7] product vector: [210 42 14 7] Record variable: dimension lengths: [0 2 9 4] product vector: [0 72 36 4]
At this point, the leftmost product, when rounded up to the next
multiple of 4, is the variable size, vsize
, in the grammar above. For
example, in the non-record variable above, the value of the vsize
field is 212 (210 rounded up to a multiple of 4). For the record
variable, the value of vsize
is just 72, since this is already a
multiple of 4.
Let coord be the array of coordinates (dimension indices, zero-based)
of the desired data value. Then the offset of the value from the
beginning of the file is just the file offset of the first data value
of the desired variable (its begin
field) added to the inner product
of the coord and product vectors times the size, in bytes, of each
datum for the variable. Finally, if the variable is a record variable,
the product of the record number, ’coord[0]’, and the record size,
recsize
, is added to yield the final offset value.
A special case: Where there is exactly one record variable, we drop the requirement that each record be four-byte aligned, so in this case there is no record padding.
By using the grammar above, we can derive the smallest valid netCDF file, having no dimensions, no variables, no attributes, and hence, no data. A CDL representation of the empty netCDF file is
netcdf empty { }
This empty netCDF file has 32 bytes if it is in CDF-1 or CDF-2 format. If the file is in CDF-5 formatm the size is 48 bytes. For CDF-1 and CDF-2 format, the file begins with the four-byte “magic number” that identifies it as a netCDF version 1 file: ‘C’, ‘D’, ‘F’, ‘\x01’. Following are seven 32-bit integer zeros representing the number of records, an empty list of dimensions, an empty list of global attributes, and an empty list of variables. The layout is similar for CDF-5, but the NON_NEG and ZERO64 integers are 64-bits.
Let’s use an example file named tiny.nc created from a CDL file shown below.
% cat tiny.cdl netcdf tiny { dimensions: dim = 5; variables: short vx(dim); data: vx = 3, 1, 4, 1, 5 ; }
% ncgen -v 5 -b tiny.cdl
% ncgen -v 2 -b tiny.cdl
Below is an (edited) dump of tiny.nc produced using the Unix command
% od -c tiny.nc
0000000 C D F 005 \0 \0 \0 \0 \0 \0 \0 \0 \0 \0 \0 \n [ magic number] [ numrecs = 0 records ] [NC_DIMENSION ] 0000020 \0 \0 \0 \0 \0 \0 \0 001 \0 \0 \0 \0 \0 \0 \0 003 [ nelems = 1 dimension ] [ dimension name has 3 chars ] 0000040 d i m \0 \0 \0 \0 \0 \0 \0 \0 005 \0 \0 \0 \0 [ name="dim" ] [ dim_length = 5 ] [ 0 global att- 0000060 \0 \0 \0 \0 \0 \0 \0 \0 \0 \0 \0 \v \0 \0 \0 \0 ribute (ABSENT = ZERO ZERO64) ] [ NC_VARIABLE ] [ nelems = 0000100 \0 \0 \0 001 \0 \0 \0 \0 \0 \0 \0 002 v x \0 \0 1 variable ] [ variable name has 2 chars ] [ name = "vx" ] 0000120 \0 \0 \0 \0 \0 \0 \0 001 \0 \0 \0 \0 \0 \0 \0 \0 [ variable has 1 dimension ] [ first dimension has ID 0 ] 0000140 \0 \0 \0 \0 \0 \0 \0 \0 \0 \0 \0 \0 \0 \0 \0 003 [ var has 0 attributes (ABSENT = ZERO ZERO64) ] [type=NC_SHORT] 0000160 \0 \0 \0 \0 \0 \0 \0 \f \0 \0 \0 \0 \0 \0 \0 200 [ var size, vsize = 12 bytes ] [var's file offset begin = 128] 0000200 \0 003 \0 001 \0 004 \0 001 \0 005 200 001 [ 3] [ 1] [ 4] [ 1] [ 5][padding] 0000214
0000000 C D F 002 \0 \0 \0 \0 \0 \0 \0 \n \0 \0 \0 001 [ magic number] [ numrecs = 0 ] [NC_DIMENSION ] [ 1 dimension ] 0000020 \0 \0 \0 003 d i m \0 \0 \0 \0 005 \0 \0 \0 \0 [ 3 chars ] [ name="dim" ] [dim_length=5 ] [ 0 global atts 0000040 \0 \0 \0 \0 \0 \0 \0 \v \0 \0 \0 001 \0 \0 \0 002 (ABSENT) ] [ NC_VARIABLE ] [ 1 variable ] [ 2 chars ] 0000060 v x \0 \0 \0 \0 \0 001 \0 \0 \0 \0 \0 \0 \0 \0 [ name = "vx" ] [ 1 dimension ] [ 1st dim ID 0] [ 0 attributes 0000100 \0 \0 \0 \0 \0 \0 \0 003 \0 \0 \0 \f \0 \0 \0 \0 (ABSENT) ] [type=NC_SHORT] [vsize=12bytes] [ var's file offset 0000120 \0 \0 \0 T \0 003 \0 001 \0 004 \0 001 \0 005 200 001 begin = 84 ] [ 3] [ 1] [ 4] [ 1] [ 5][padding] 0000140
Note that if the netCDF files were generated by utility "ncmpigen" instead of "ncgen", the file size and the value of variable’s begin will be different. This is because PnetCDF uses a default minimum file header size of 512 bytes. Thus the last three lines of the dump will become:
0000120 \0 \0 002 \0 \0 \0 \0 \0 \0 \0 \0 \0 \0 \0 \0 \0 begin = 512 ] [ skip .... 0000140 \0 \0 \0 \0 \0 \0 \0 \0 \0 \0 \0 \0 \0 \0 \0 \0 * 0001000 \0 003 \0 001 \0 004 \0 001 \0 005 ][ 3] [ 1] [ 4] [ 1] [ 5] 0001012
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