Abstract: Techniques for placement of integrated circuit elements include global placement, detailed placement, timing closure, and routing. The integrated circuit is described by a netlist specifying interconnections of morphable devices. The detailed placement uses, for example, Simultaneous Dynamical Integration, wherein the morphable-devices correspond to nodes influenced by forces, including timing forces. The timing forces are derived, for example, from a timing graph; path delay; slack; and drive resistance of the elements. The timing closure uses timing-driven buffering and timing-driven resizing to reduce maximum delay and/or transition time, and/or to fix hold time. Nets having high capacitance and/or fanout, and timing critical nets are preferentially processed. Timing-driven buffering applies buffering solutions to segments of route trees, combines solutions of adjoining segments, and prunes sets of solutions. Timing-driven resizing morphably replaces selected elements with upsized versions thereof.

Abstract: Simultaneous Dynamical Integration modeling techniques are applied to global placement of elements of integrated circuits as described by netlists specifying interconnection of morphable-devices. Solutions to a system of coupled ordinary differential equations in accordance with Newtonian mechanics are approximated by numerical integration. A resultant time-evolving system of nodes moves through a continuous location space in continuous time, and is used to derive placements of the morphable-devices having one-to-one correspondences with the nodes. Nodes under the influence of net attractive forces, computed based on the interconnections between the morphable devices, tend to coalesce into well-organized topologies. Nodes are also affected by spreading forces determined by density fields that are developed based on local spatial node populations.

Abstract: Simultaneous Dynamical Integration modeling techniques are applied to global placement of elements of integrated circuits as described by netlists specifying interconnection of morphable-devices. Solutions to a system of coupled ordinary differential equations in accordance with Newtonian mechanics are approximated by numerical integration. A resultant time-evolving system of nodes moves through a continuous location space in continuous time, and is used to derive placements of the morphable-devices having one-to-one correspondences with the nodes. Nodes under the influence of net attractive forces, computed based on the interconnections between the morphable devices, tend to coalesce into well-organized topologies. Nodes are also affected by spreading forces determined by density fields that are developed based on local spatial node population.

Abstract: Simultaneous Dynamical Integration modeling techniques are applied to global placement of elements of integrated circuits as described by netlists specifying interconnection of morphable-devices. Solutions to a system of coupled ordinary differential equations in accordance with Newtonian mechanics are approximated by numerical integration. A resultant time-evolving system of nodes moves through a continuous location space in continuous time, and is used to derive placements of the morphable-devices having one-to-one correspondences with the nodes. Nodes under the influence of net attractive forces, computed based on the interconnections between the morphable devices, tend to coalesce into well-organized topologies. Nodes are also affected by spreading forces determined by density fields that are developed based on local spatial node populations.

Abstract: Techniques for placement of integrated circuit elements include global placement, detailed placement, timing closure, and routing. The integrated circuit is described by a netlist specifying interconnections of morphable devices. The detailed placement uses, for example, Simultaneous Dynamical Integration, wherein the morphable-devices correspond to nodes influenced by forces, including timing forces. The timing forces are derived, for example, from a timing graph; path delay; slack; and drive resistance of the elements. The timing closure uses timing-driven buffering and timing-driven resizing to reduce maximum delay and/or transition time, and/or to fix hold time. Nets having high capacitance and/or fanout, and timing critical nets are preferentially processed. Timing-driven buffering applies buffering solutions to segments of route trees, combines solutions of adjoining segments, and prunes sets of solutions. Timing-driven resizing morphably replaces selected elements with upsized versions thereof.

Abstract: Simultaneous Dynamical Integration modeling techniques are applied to placement of elements of integrated circuits as described by netlists specifying interconnection of devices. Solutions to a system of coupled ordinary differential equations in accordance with Newtonian mechanics are approximated by numerical integration. A resultant time-evolving system of nodes moves through a continuous location space in continuous time, and is used to derive placements of the devices having one-to-one correspondences with the nodes. Nodes under the influence of net attractive forces, computed based on the interconnections between the morphable devices, tend to coalesce into well-organized topologies. Nodes are also affected by spreading forces determined by density fields that are developed based on local spatial node populations. The forces are optionally selectively modulated as a function of simulation time.

Abstract: Simultaneous Dynamical Integration modeling techniques are applied to placement of elements of integrated circuits as described by netlists specifying interconnection of devices. Solutions to a system of coupled ordinary differential equations in accordance with Newtonian mechanics are approximated by numerical integration. A resultant time-evolving system of nodes moves through a continuous location space in continuous time, and is used to derive placements of the devices having one-to-one correspondences with the nodes. Nodes under the influence of net attractive forces, computed based on the interconnections between the morphable devices, tend to coalesce into well-organized topologies. Nodes are also affected by spreading forces determined by density fields that are developed based on local spatial node populations. The forces are optionally selectively modulated as a function of simulation time.

Abstract: Techniques for placement of integrated circuit elements include global placement, detailed placement, timing closure, and routing. The integrated circuit is described by a netlist specifying interconnections of morphable devices. The detailed placement uses, for example, Simultaneous Dynamical Integration, wherein the morphable-devices correspond to nodes influenced by forces, including timing forces. The timing forces are derived, for example, from a timing graph; path delay; slack; and drive resistance of the elements. The timing closure uses timing-driven buffering and timing-driven resizing to reduce maximum delay and/or transition time, and/or to fix hold time. Nets having high capacitance and/or fanout, and timing critical nets are preferentially processed. Timing-driven buffering applies buffering solutions to segments of route trees, combines solutions of adjoining segments, and prunes sets of solutions. Timing-driven resizing morphably replaces selected elements with upsized versions thereof.

Abstract: Techniques for placement of integrated circuit elements include global placement, detailed placement, timing closure, and routing. The integrated circuit is described by a netlist specifying interconnections of morphable devices. The detailed placement uses, for example, Simultaneous Dynamical Integration, wherein the morphable-devices correspond to nodes influenced by forces, including timing forces. The timing forces are derived, for example, from a timing graph; path delay; slack; and drive resistance of the elements. The timing closure uses timing-driven buffering and timing-driven resizing to reduce maximum delay and/or transition time, and/or to fix hold time. Nets having high capacitance and/or fanout, and timing critical nets are preferentially processed. Timing-driven buffering applies buffering solutions to segments of route trees, combines solutions of adjoining segments, and prunes sets of solutions. Timing-driven resizing morphably replaces selected elements with upsized versions thereof.

Abstract: Simultaneous Dynamical Integration modeling techniques are applied to global placement of elements of integrated circuits as described by netlists specifying interconnection of morphable-devices. Solutions to a system of coupled ordinary differential equations in accordance with Newtonian mechanics are approximated by numerical integration. A resultant time-evolving system of nodes moves through a continuous location space in continuous time, and is used to derive placements of the morphable-devices having one-to-one correspondences with the nodes. Nodes under the influence of net attractive forces, computed based on the interconnections between the morphable devices, tend to coalesce into well-organized topologies. Nodes are also affected by spreading forces determined by density fields that are developed based on local spatial node population.

Abstract: Simultaneous Dynamical Integration modeling techniques are applied to global placement of elements of integrated circuits as described by netlists specifying interconnection of morphable-devices. Solutions to a system of coupled ordinary differential equations in accordance with Newtonian mechanics are approximated by numerical integration. A resultant time-evolving system of nodes moves through a continuous location space in continuous time, and is used to derive placements of the morphable-devices having one-to-one correspondences with the nodes. Nodes under the influence of net attractive forces, computed based on the interconnections between the morphable devices, tend to coalesce into well-organized topologies. Nodes are also affected by spreading forces determined by density fields that are developed based on local spatial node populations.

Abstract: Simultaneous Dynamical Integration modeling techniques are applied to global placement of elements of integrated circuits as described by netlists specifying interconnection of morphable-devices. Solutions to a system of coupled ordinary differential equations in accordance with Newtonian mechanics are approximated by numerical integration. A resultant time-evolving system of nodes moves through a continuous location space in continuous time, and is used to derive placements of the morphable-devices having one-to-one correspondences with the nodes. Nodes under the influence of net attractive forces, computed based on the interconnections between the morphable devices, tend to coalesce into well-organized topologies. Nodes are also affected by spreading forces determined by density fields that are developed based on local spatial node populations.

Abstract: Simultaneous Dynamical Integration modeling techniques are applied to placement of elements of integrated circuits as described by netlists specifying interconnection of devices. Solutions to a system of coupled ordinary differential equations in accordance with Newtonian mechanics are approximated by numerical integration. A resultant time-evolving system of nodes moves through a continuous location space in continuous time, and is used to derive placements of the devices having one-to-one correspondences with the nodes. Nodes under the influence of net attractive forces, computed based on the interconnections between the morphable devices, tend to coalesce into well-organized topologies. Nodes are also affected by spreading forces determined by density fields that are developed based on local spatial node populations. The forces are optionally selectively modulated as a function of simulation time.

Abstract: Simultaneous Dynamical Integration modeling techniques are applied to placement of elements of integrated circuits as described by netlists specifying interconnection of devices. Solutions to a system of coupled ordinary differential equations in accordance with Newtonian mechanics are approximated by numerical integration. A resultant time-evolving system of nodes moves through a continuous location space in continuous time, and is used to derive placements of the devices having one-to-one correspondences with the nodes. Nodes under the influence of net attractive forces, computed based on the interconnections between the morphable devices, tend to coalesce into well-organized topologies. Nodes are also affected by spreading forces determined by density fields that are developed based on local spatial node populations. The forces are optionally selectively modulated as a function of simulation time.