cgal/QP_solver/examples/QP_solver/integer_qp_solver.data

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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 linear program
#
# minimize x0 - x1 + x2
# subject to
# 0 <= x0
# 2 <= x1 <= 3
# 2 <= x2 <= 3
HEADER
number-type: integer
number-of-variables: 3
number-of-constraints: 0
default-bound: nonnegative
CONSTRAINTS
C-VECTOR-AND-BOUNDS
1 -1 (2,3) 1 (2,3)
END