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Phen = bindecod(Chrom, FieldD, Coding)

BINary DECODing to binary, integer or real numbers This function decodes binary chromosomes into vectors of binary, integer or real numbers. The chromosomes are seen as the concate- nation of binary strings and decoded into binary, integer or real numbers in a specified interval using either standard binary or Gray decoding. Binary variables can be mixed with integer and real variables. A binary variable is an integer/real number decoded with one binary value and lower bound 0 and upper bound 1, both bounds included. For real numbers the variables are scaled between lower and upper bound using either arithmetic or logarithmic scaling. The inclusion of lower and upper bound can be defined as well. The real and integer variables are the discrete values between lower and upper bound. The number of intervals is defined by 2^the number of binary values. Thus, the bounds of the variables are ensured. (A second method can be switched on inside the function for integer variables. The variables can be decoded to direct integer numbers and the lower bound is added to this direct decoded numbers. A check for upper bound is performed afterwards. Thus, every binary string decodes to one and only one integer number and vice versa.) See examples for more information! Syntax: Phen = bindecod(Chrom, FieldD, Coding) Input parameters: Chrom - Matrix containing the chromosomes to decode. Each row corresponds to one individual's concatenated binary string representation. Leftmost bits are most significant and rightmost are least significant. FieldD - Matrix describing the length and how to decode each substring in the chromosome. It has the following structure: [ NumCols; LowBound; UppBound; BinGray; Scaling; LowIncld; UppIncld ] NumCols - Vector containing number of columns in Chrom decoding to one variable. sum(NumCols) should equal the individual length. LowBound - Vector containing lower bound for each variable. UppBound - Vector containing upper bound for each variable. BinGray - Vector indicating coding of binary values. 0: standard binary coding 1: gray coding Scaling - Vector indicating scaling for decoding of variables. 0: arithmetic scaling 1: logarithmic scaling always arithmetic scaling for integer variables LowIncld - Vector indicating inclusion of lower bound into the representation range 0: exclude lower bound 1: include lower bound always included for integer variables UppIncld - Vector indicating inclusion of upper bound into the representation range 0: exclude upper bound 1: include upper bound always included for integer variables Coding - (optional) Scalar containing decoding method 0: do not decode, real representation - real variables 1: decode binary values to real numbers 2: do not decode, integer representation - integer variables 3: decode binary values to integer numbers 4: do not decode, binary representation - binary variables 5: do not decode, permutation representation - any variables if omitted or NaN, 0 (do not decode) is assumed Coding is identical to GEAOpt.VariableFormat in geamain2 Output parameter: Phen - Matrix containing the phenotypes of the individuals of Chrom. See also: bin2int, bin2real, initbp, initip, initrp

This function is called by | |
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GEATbx: |
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