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# data file for specifying a quadratic program of the form
# minimize c^T x + x^T D x
# subject to
# A x {<=, =, >=} b
# l <= x <= u
# -------------------------------------------------------------------------
# Comments like this may appear but only before "HEADER".
#
# The number-type must be
# "integer" (all coefficients below are integers), or
# "rational"(all coefficients below are rational numbers), or
# "double" (all coefficients below are floating point numbers).
# The number-type specification must come before the default-bound.
#
# The default-bound may be
# "nonnegative" (0 <= xi <= +infty), or
# "free" (-infty <= xi <= +infty).
# If no default-bound is given, "nonnegative" is assumed.
#
# The CONSTRAINTS section prescribes the system A x {<=, =, >=} b in
# dense format. It is mandatory.
#
# The "D-MATRIX" section prescribes the matrix D in dense format. It is
# optional (defaulting to the zero matrix).
#
# The C-VECTOR-AND-BOUNDS prescribes the vector c (first entry) and the
# bound vectors l and u (pair in brackets, where a missing entry means
# plus or minus infinity. A missing pair means that the respective variable
# assumes the default bounds. The C-VECTOR-AND-BOUNDS section is mandatory.
#
# -------------------------------------------------------------------------
#
# The following is therefore the quadratic program
#
# minimize (x0-1/3)^2 + (x1-1/3)^ + (x2-1/3)^2 - 1/3
# subject to
# x0 + x1 + x2 = 1
HEADER
number-type: rational
number-of-variables: 3
number-of-constraints: 1
default-bound: free
CONSTRAINTS
1/1 1/1 1/1 = 1/1
D-MATRIX
1/1 0/1 0/1
0/1 1/1 0/1
0/1 0/1 1/1
C-VECTOR-AND-BOUNDS
-2/3 -2/3 -2/3
END
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