JP3138675B2 - Multipoint network wiring method and electronic hardware device therefor - Google Patents

Multipoint network wiring method and electronic hardware device therefor

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Publication number
JP3138675B2
JP3138675B2 JP33518197A JP33518197A JP3138675B2 JP 3138675 B2 JP3138675 B2 JP 3138675B2 JP 33518197 A JP33518197 A JP 33518197A JP 33518197 A JP33518197 A JP 33518197A JP 3138675 B2 JP3138675 B2 JP 3138675B2
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JP
Japan
Prior art keywords
vertex
cost
shortest path
overlapping
overlap
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Expired - Lifetime
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JP33518197A
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Japanese (ja)
Other versions
JPH11167564A (en
Inventor
宗 山内
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
NEC Corp
Original Assignee
NEC Corp
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Priority to JP33518197A priority Critical patent/JP3138675B2/en
Publication of JPH11167564A publication Critical patent/JPH11167564A/en
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Classifications

    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02PCLIMATE CHANGE MITIGATION TECHNOLOGIES IN THE PRODUCTION OR PROCESSING OF GOODS
    • Y02P90/00Enabling technologies with a potential contribution to greenhouse gas [GHG] emissions mitigation
    • Y02P90/30Computing systems specially adapted for manufacturing

Description

【発明の詳細な説明】DETAILED DESCRIPTION OF THE INVENTION

【0001】[0001]

【発明の属する技術分野】本発明は,電子ハードウェア
装置及び多点網自動配線方法に関する。
The present invention relates to an electronic hardware device and a multipoint network automatic wiring method.

【0002】[0002]

【従来の技術】配線リソースが予め用意されていて,そ
の配線リソース上で複数の端子間を,配線長等のコスト
の合計を最小にする様に接続する多点網配線問題は,重
み付き無向グラフ上のGMST(Graph Minimal Steine
r Tree)問題に帰着される。GMST問題を解く従来の
手法としては,(i)網を構成する複数の端子の中から
何らかの方法で端子対を順番に選び出してその端子対間
の配線径路を求めることにより,最終的に網全体の配線
径路を求める方法;(ii)初期解として網を構成する端
子だけのグラフを作り枝の重みは端子間の最短径路と
し,次にそのグラフの最小全域木を求め,そのグラフの
枝を元の最短径路に戻してから再び最小全域木を求めた
後,余分な枝葉を取り除く方法;(iii)信号の流れる向
きに着目して,信号源端子から目的端子までの距離を短
くすることに注力したPath-FoldingArborescene(PF
A)法;等の手法が提案されている。
2. Description of the Related Art A multipoint network wiring problem in which wiring resources are prepared in advance and a plurality of terminals are connected on the wiring resources in such a manner as to minimize the total cost such as the wiring length is not weighted. GMST (Graph Minimal Steine)
r Tree). Conventional methods for solving the GMST problem include (i) selecting a pair of terminals from a plurality of terminals constituting a network in order by some method and obtaining a wiring route between the pair of terminals, thereby finally obtaining the entire network. (Ii) Create a graph of only the terminals that make up the network as the initial solution, weight the branches as the shortest path between the terminals, then find the minimum spanning tree of the graph, and determine the branches of the graph. Returning to the original shortest path, finding the minimum spanning tree again, and removing extra branches and leaves; (iii) Focusing on the direction of signal flow, shortening the distance from the signal source terminal to the destination terminal Focused Path-FoldingArborescene (PF
A) Method; and other methods have been proposed.

【0003】上記(i)の手法は,2点間の最短径路を
求める既存の手法を繰り返し適用するというものであ
る。上記(ii)の手法は,配線径路の総配線長を短くす
るための手法であり,詳細については,1981年に発
行されたActa Informaticaのvol. 15 の第141頁から
第145頁に掲載された“A fast algorithm for stein
er trees”と題するL. Kou,G. Markowsky ,L. Berman
らによる論文に記載されている。また,上記(iii) の手
法は,信号源からの最短径路を共有している長さが最も
長い目的端子を2個選んでは1個にまとめるということ
を再帰的に繰り返して,信号源を根とする2分木状の配
線径路を生成するという手法であり,詳細については,
1996年にIEEEから発行されたIEEE Transactions on
Computer-Aided DesignのVol. 15 No.12 の第1505
頁から第1517頁に掲載された“New Performance-Dr
iven FPGA Routing Algorithm ”と題するM. J. ALEXAN
DER,G. Robins らによる論文に記載されている。
The method (i) is to repeatedly apply an existing method for finding the shortest path between two points. The method (ii) is a method for shortening the total wiring length of the wiring path, and is described in detail in Acta Informatica, vol. 15, published in 1981, pages 141 to 145. “A fast algorithm for stein
Kou, G. Markowsky, L. Berman entitled “er trees”
Described in a paper by the authors. In addition, the method (iii) recursively repeats selecting two longest target terminals that share the shortest path from the signal source and combining them into one, so that the signal source is rooted. Is a method of generating a binary tree-shaped wiring path.
IEEE Transactions on issued by IEEE in 1996
Computer-Aided Design Vol. 15 No. 12 No. 1505
"New Performance-Dr" published from page pp. 1517
MJ ALEXAN entitled "iven FPGA Routing Algorithm"
DER, G. Robins et al.

【0004】[0004]

【発明が解決しようとする課題】配線リソースが予め用
意されていて,その配線リソース上で複数の端子間を,
配線長等のコストの合計を最小にする様に接続する多点
網配線問題,即ち,重み付き無向グラフ上のGMST
(Graph Minimal Steiner Tree)問題を解くために従来
提案されて来た手法のうち,上記(i)網を構成する複
数の端子の中から何らかの方法で端子対を順番に選び出
してその端子対間の配線径路を求めることにより,最終
的に網全体の配線径路を求める方法は,個々の端子対間
の距離(コスト)の最小化のみに着目しており,多点網
全体のコスト削減になるとは限らず,また端子対を選ぶ
順番にもコストが大きく依存するという問題点がある。
A wiring resource is prepared in advance, and a plurality of terminals are connected on the wiring resource.
Multipoint network wiring problem that minimizes the total cost such as wiring length, that is, GMST on weighted undirected graph
(Graph Minimal Steiner Tree) Among the methods proposed so far for solving the problem, (i) a terminal pair is selected in order from a plurality of terminals constituting the network, and the terminal pair is selected. The method of finally finding the wiring path of the entire network by finding the wiring path focuses only on minimizing the distance (cost) between the individual terminal pairs. However, there is a problem that the cost greatly depends on the order of selecting the terminal pairs.

【0005】また,上記(ii)初期解として網を構成す
る端子だけのグラフを作り枝の重みは,端子間の最短径
路とし,次にそのグラフの最小全域木を求め,そのグラ
フの枝を元の最短径路に戻してから再び最小全域木を求
めた後,余分な枝や頂点を取り除く方法は,信号の流れ
る向きを考慮せずに総配線長のみを最小化してしまうた
め,実際の回路における信号の伝搬遅延削減に結び付か
ないという問題がある。
[0005] Also, (ii) a graph of only the terminals constituting the network is created as an initial solution, and the weight of the branch is set to the shortest path between the terminals. Then, a minimum spanning tree of the graph is obtained. The method of removing the extra branches and vertices after returning to the original shortest path and then obtaining the minimum spanning tree again minimizes the total wiring length without considering the signal flow direction. However, there is a problem that it does not lead to reduction of signal propagation delay in

【0006】さらに,上記(iii) 信号の流れる向きに着
目して,信号源端子から目的端子までの距離を短くする
ことに注力したPath-Folding Arborescene(PFA)法
は,グラフの頂点を同時に2個ずつしか考慮しないた
め,配線径路のパターンによっては,無駄な配線径路を
生成するという問題点がある。
Further, the above-mentioned (iii) Path-Folding Arborescene (PFA) method which focuses on shortening the distance from the signal source terminal to the target terminal by paying attention to the direction of the flow of the signal, makes the vertices of the graph 2 Since only individual pieces are considered, there is a problem that a useless wiring path is generated depending on the wiring path pattern.

【0007】そこで,本発明の技術的課題は,実際の回
路における信号の流れる向き注目して,伝搬遅延が小さ
く,且つ総配線長も短い配線径路を自動的に求める手法
であり,この手法により,従来よりも伝搬遅延や配線の
電気的容量が少なく,高速動作に適した配線径路を自動
生成する多点網配線方法とそのための電子ハードウェア
装置とを提供することにある。
Accordingly, a technical problem of the present invention is a method of automatically obtaining a wiring path having a small propagation delay and a short total wiring length by paying attention to the direction of signal flow in an actual circuit. It is another object of the present invention to provide a multi-point network wiring method for automatically generating a wiring path suitable for high-speed operation with less propagation delay and electric capacity of wiring than before, and an electronic hardware device therefor.

【0008】[0008]

【課題を解決するための手段】本発明によれば、配線資
源の情報から各枝の重みを定めた重み付き無向グラフに
おいて、そのグラフを構成する信号源端子を第1の頂点
とし、この第1の頂点から、2個以上の信号源以外の端
子の第1の頂点集合への径路を求める際に、前記第1の
頂点から前記第1の頂点集合の中の各頂点への最短径路
候補集合を求める第1の頂点間最短経路探索部と、求め
た最短径路候補集合の中で、前記第1の頂点集合中の各
々の頂点への最短径路が重複している部分の重複コスト
を求める重複コスト算出部と、前記第1の頂点集合の中
で、重複コストが最も大きい径路を前記第1の頂点から
の最短径路に含む第2の頂点集合を前記第1の頂点集合
からとり除き、代わりに、重複している径路の前記第1
の頂点とは反対の端点である第2の頂点を新たな径路探
索の代わりの端子とみなし、頂点として前記第1の頂点
集合に追加する目的頂点追加部と、前記第2の頂点集合
から前記第2の頂点までの部分についての最短径路を求
める第2の頂点間最短経路探索部と、以上の一連の各部
の処理を前記第1の頂点集合の要素が一つになるまで繰
り返すように前記各部を動作させる動作反復部とを備え
たことを特徴とする電子ハードウェア装置が得られる。
According to the present invention, a wiring material is provided.
In a weighted undirected graph in which the weight of each branch is determined from source information, a signal source terminal forming the graph is defined as a first vertex
From the first vertex, the end other than two or more signal sources
A first inter-vertex shortest path search unit for obtaining a shortest path candidate set from the first vertex to each vertex in the first vertex set when obtaining a path to the first vertex set of the child ; An overlapping cost calculation unit for obtaining an overlapping cost of a portion where the shortest path to each vertex in the first vertex set overlaps in the obtained shortest path candidate set, Wherein the second set of vertices that includes the path with the highest overlapping cost in the shortest path from the first vertex is removed from the first set of vertices, and the first
A second vertex which is an end point opposite to the vertex is regarded as a terminal instead of a new route search, and a target vertex adding unit to be added to the first vertex set as a vertex; A second inter-vertex shortest path search unit for finding the shortest path for the portion up to the second vertex, and the above-described series of processes of each unit are repeated until the first vertex set has one element. An electronic hardware device comprising an operation repeating unit for operating each unit is obtained.

【0009】即ち,本発明では,上記構成によって,伝
搬遅延や配線の電気的容量が少なく,高速動作に適した
配線径路を自動生成するものである。
That is, according to the present invention, the above configuration automatically generates a wiring path suitable for high-speed operation with small propagation delay and electric capacity of wiring.

【0010】また、本発明によれば、配線資源の情報か
ら各枝の重みを定めた重み付き有向グラフにおいて、そ
のグラフを構成する信号源端子を第1の頂点とし、この
第1の頂点から、2個以上の信号源以外の端子の第1の
頂点集合への径路を求める際に、枝の向きに従って、前
記第1の頂点から前記第1の頂点集合の中の各頂点への
最短径路候補集合を求める第1の枝向き最短経路探索部
と、求めた最短径路候補集合の中で、前記第1の頂点集
合中の各々の頂点への最短径路が同じ向きの枝を共有す
るしている部分の重複コストを求める重複コスト検出部
と、前記第1の頂点集合の中で、重複コストが最も大き
い径路を前記第1の頂点からの最短径路に含む第2の頂
点集合を前記第1の頂点集合からとり除き、代わりに、
重複している径路の前記第1の頂点とは反対の端点であ
る第2の頂点を新たな径路探索の代わりの端子とみな
し、頂点として前記第1の頂点集合に追加する目的頂点
追加部と、前記第2の頂点集合から第2の頂点までの部
分について枝の向きに従って最短径路を求める第2の枝
向き最短経路探索部と、以上の各部の処理を前記第1の
頂点集合の要素が一つになるまで繰り返すように前記各
部を動作させる動作反復部とを備えたことを特徴とする
電子ハードウェア装置が得られる。
Further, according to the present invention, the information of wiring resources
In the weighted directed graph in which the weight of each branch is determined, a signal source terminal constituting the graph is defined as a first vertex, and from the first vertex, a first terminal of terminals other than two or more signal sources is determined . A first branch direction shortest path search for obtaining a shortest path candidate set from the first vertex to each vertex in the first vertex set in accordance with a branch direction when obtaining a path to one vertex set; And an overlapping cost detecting unit for obtaining an overlapping cost of a portion of the obtained shortest path candidate set in which the shortest path to each vertex in the first vertex set shares a branch in the same direction. Out of the first set of vertices, the second set of vertices that includes the path with the highest overlap cost in the shortest path from the first vertex is removed from the first set of vertices,
A second vertex, which is an end point of the overlapping route opposite to the first vertex, is regarded as a substitute terminal for a new route search.
And, wherein the object vertex addition unit to add to the first vertex set, the second branch direction shortest path search for determining the shortest path in accordance with the branch direction for the portion from the second vertex set to a second vertex as the vertex An electronic hardware device comprising: a unit; and an operation repetition unit that operates the units so as to repeat the processing of each unit until one element of the first vertex set becomes one. .

【0011】また、本発明によれば、配線資源の情報か
ら各枝の重みを定めた重み付き無向グラフにおいて、そ
のグラフを構成する信号源端子を第1の頂点とし、この
第1の頂点から、2個以上の信号源以外の端子の第1の
頂点集合への径路を求める際に、前記第1の頂点から前
記第1の頂点集合の中の各頂点への最短径路候補集合を
求める第1の頂点間最短径路探索段階と、求めた最短径
路候補集合の中で、前記第1の頂点集合中の各々の頂点
への最短径路が重複している部分の重複コストを求める
重複コスト算出段階と、前記第1の頂点集合の中で、重
複コストが最も大きい径路を前記第1の頂点からの最短
径路に含む第2の頂点集合を前記第1の頂点集合からと
り除き、代わりに、重複している径路の前記第1の頂点
とは反対の端点である第2の頂点を新たな径路探索の
わりの端子とみなし、頂点として前記第1の頂点集合に
追加する目的追加段階と、前記第2の頂点集合から前記
第2の頂点までの部分についての最短径路を求める第2
の頂点最短径路探索段階と、以上の一連の各段階の処理
を前記第1の頂点集合の要素が一つになるまで繰り返す
ように前記各段階を動作させる反復動作段階とを備えた
ことを特徴とする多点網配線方法が得られる。
Further, according to the present invention, information on wiring resources
In the weighted undirected graph in which the weights of the respective branches are determined, a signal source terminal constituting the graph is defined as a first vertex, and from the first vertex, terminals other than two or more signal sources are defined. A first inter-vertex shortest path search step of obtaining a shortest path candidate set from the first vertex to each vertex in the first vertex set when obtaining a path to the first vertex set; An overlapping cost calculating step of obtaining an overlapping cost of a portion where the shortest path to each vertex in the first vertex set overlaps in the obtained shortest path candidate set; The second set of vertices that includes the path with the highest overlap cost in the shortest path from the first vertex is removed from the first set of vertices, and instead, the first vertex of the overlapping path is removed. generation of a new path search for the second vertex is the opposite of the end point is the
A purpose adding step of considering the terminal as another terminal and adding it as a vertex to the first vertex set, and a second step of obtaining a shortest path from the second vertex set to the second vertex.
A step of searching for the shortest path of the vertex, and an iterative operation step of operating each of the steps so as to repeat the processing of the above series of steps until the element of the first vertex set becomes one. Is obtained.

【0012】さらに、本発明によれば、配線資源の情報
から各枝の重みを定めた重み付き有向グラフにおいて、
そのグラフを構成する信号源端子を第1の頂点とし、こ
の第1の頂点から、2個以上の信号源以外の端子の第1
の頂点集合への径路を求める際に、枝の向きに従って、
前記第1の頂点から前記第1の頂点集合の中の各頂点へ
の最短径路候補集合を求める第1の枝向き最短経路探索
段階と、求めた最短径路候補集合の中で、前記第1の頂
点集合中の各々の頂点への最短径路が同じ向きの枝を共
有するしている部分の重複コストを求める重複コスト検
出段階と、前記第1の頂点集合の中で、重複コストが最
も大きい径路を前記第1の頂点からの最短径路に含む第
2の頂点集合を前記第1の頂点集合からとり除き、代わ
りに、重複している径路の前記第1の頂点とは反対の端
点である第2の頂点を新たな径路探索の代わりの端子と
みなし、頂点として前記第1の頂点集合に追加する目的
頂点追加段階と、前記第2の頂点集合から第2の頂点ま
での部分について枝の向きに従って最短径路を求める第
2の枝向き最短経路探索段階と、以上の処理を前記第1
の頂点集合の要素が一つになるまで繰り返すように動作
させる動作反復段階とを備えたことを特徴とする多点網
配線方法が得られる。
Further, according to the present invention, information on wiring resources is provided.
In the weighted directed graph that determines the weight of each branch from
A signal source terminal constituting the graph is defined as a first vertex, and from this first vertex, a first terminal of terminals other than two or more signal sources is set.
When finding the path to the vertex set of
A first branch-directed shortest path search step for obtaining a shortest path candidate set from the first vertex to each vertex in the first vertex set; and A duplicate cost detection step of determining an overlap cost of a portion where the shortest path to each vertex in the vertex set shares a branch in the same direction; and a path having the highest overlap cost in the first vertex set. Is removed from the first set of vertices that includes the shortest path from the first vertex to the first set of vertices, instead of the Vertex 2 is replaced with a terminal instead of a new route search
A target vertex adding step of adding the vertex to the first vertex set as a vertex, and a second branch direction shortest path search for obtaining a shortest path according to a branch direction for a portion from the second vertex set to the second vertex. Steps and the above processing are performed in the first
And an operation repetition step of repeating the operation until the number of elements of the vertex set becomes one.

【0013】[0013]

【発明の実施の形態】次に,本発明の実施の形態につい
て図面を参照して詳細に説明する。
Next, embodiments of the present invention will be described in detail with reference to the drawings.

【0014】(第1の実施の形態)図1は本発明の第1
の実施の形態による電子ハードウェア装置の概略構成を
示す図である。図1を参照すると,本発明の第1の実施
の形態による電子ハードウェア装置は,ファイル等の入
力装置1と,プログラム制御により動作するデータ処理
装置2と,情報を記憶する記憶装置3と,ファイル等の
出力装置4とを含む。
(First Embodiment) FIG. 1 shows a first embodiment of the present invention.
FIG. 3 is a diagram illustrating a schematic configuration of an electronic hardware device according to an embodiment. Referring to FIG. 1, an electronic hardware device according to a first embodiment of the present invention includes an input device 1 such as a file, a data processing device 2 operated by program control, a storage device 3 for storing information, And an output device 4 such as a file.

【0015】記憶装置3は,グラフデータ記憶部8と,
頂点集合記憶部A・9と,頂点集合記憶部B・10とを
備えている。
The storage device 3 includes a graph data storage unit 8,
A vertex set storage unit A · 9 and a vertex set storage unit B · 10 are provided.

【0016】グラフデータ記憶部8は,入力装置1にて
読み込んだ重み付き無向グラフと,これから配線する端
子の情報を記憶する。
The graph data storage unit 8 stores the weighted undirected graph read by the input device 1 and information on terminals to be wired.

【0017】頂点集合記憶部A・9は,これから配線す
る網を構成する端子のうち,信号源となる端子を除いた
端子を,グラフの頂点として記憶する。
The vertex set storage unit A.9 stores, as the vertices of the graph, the terminals excluding the signal source terminals among the terminals constituting the network to be wired.

【0018】データ処理装置8は,最短径路探索手段5
と,重複コスト計算手段6と重複コスト評価・頂点選択
手段7とを備えている。
The data processing device 8 includes a shortest path searching means 5
And an overlap cost calculation means 6 and an overlap cost evaluation / vertex selection means 7.

【0019】最短径路探索手段5は,任意の二つの頂点
間の最短径路を求める。重み付き無向グラフでの最短径
路探索手法は種々提案されているが,例えば,Dijkstra
のアルゴリズムもその一つとして用いることが出来る。
The shortest path search means 5 finds the shortest path between any two vertices. Various shortest path search methods for weighted undirected graphs have been proposed. For example, Dijkstra
Can be used as one of them.

【0020】重複コスト計算手段6は,複数の配線径路
が同じ枝を重複して共有している場合に,重複している
配線径路の数と重複部分を構成する枝の重みから重複コ
ストを計算する。
When a plurality of wiring paths share the same branch, the overlapping cost calculation means 6 calculates the overlapping cost from the number of overlapping wiring paths and the weight of the branch constituting the overlapping portion. I do.

【0021】重複コスト評価・頂点選択手段7は,重複
コスト計算手段6が計算した重複コストから,最も重複
コストの大きい径路を見つけ出し,その端点となる頂点
を選択し,頂点集合記憶部A・9と頂点集合記憶部B・
10の更新をする。
The duplication cost evaluation / vertex selection means 7 finds a route having the highest duplication cost from the duplication cost calculated by the duplication cost calculation means 6, selects a vertex as an end point thereof, and stores the vertex set storage unit A · 9. And vertex set storage unit B
Update 10

【0022】即ち,頂点集合記憶部B・10には,重複
コスト評価・頂点選択手段7によって求められた重複コ
ストが最大となっている経路の端点となっている頂点を
信号源端子からの最短経路が通ることが可能な端子群を
保存する。
That is, the vertex set storage unit B · 10 stores the vertex which is the end point of the route where the duplicate cost obtained by the duplicate cost evaluation / vertex selecting means 7 is the maximum, from the signal source terminal to the shortest. Save a group of terminals that can be routed.

【0023】次に,図2は図1の電子ハードウェア装置
の全体の動作説明に供せられるフローチャートである。
図2を参照すると,まず,ステップA1では,配線径路
の候補となる配線資源や配線対象となる網とそれを構成
する端子に関する情報をファイル等の入力装置1から読
み込む。
Next, FIG. 2 is a flowchart for explaining the overall operation of the electronic hardware device of FIG.
Referring to FIG. 2, first, in step A1, information on a wiring resource that is a candidate for a wiring path, a network to be wired, and terminals constituting the network is read from the input device 1 such as a file.

【0024】次に,ステップA2では,入力装置1から
読み込んだ配線資源の情報から,最短経路探索手段5
が,重み付き無向グラフを生成し,グラフデータ記憶部
8へ保存し,信号源以外の端子がグラフの頂点となって
いるものを頂点集合記憶部A・9へ保存する。この場
合,各枝の重みは配線径路の長さ,配線の方向,静電容
量,インダクタンス,材質,信号層の深さ,信号伝搬遅
延時間,配線の混雑度等によって定める。
Next, in step A2, the shortest path searching means 5 is used based on the information of the wiring resources read from the input device 1.
Generates a weighted undirected graph, saves it in the graph data storage unit 8, and saves a graph whose terminals other than the signal source are vertices of the graph in the vertex set storage unit A · 9. In this case, the weight of each branch is determined by the length of the wiring path, the direction of the wiring, the capacitance, the inductance, the material, the depth of the signal layer, the signal propagation delay time, the degree of congestion of the wiring, and the like.

【0025】次に,ステップA3では,最短経路探索手
段5は,グラフデータ記憶部8から重み付き無向グラフ
を読み込み,頂点集合記憶部A・9から信号以外の端子
に関する情報を読み込み,これから配線する網の信号源
端子Sから,信号源以外の端子への最短経路を求めて,
最短径路候補集合として列挙し,グラフデータ記憶部8
に保存する(第1の頂点間最短経路探索部による第1の
頂点間最短経路探索段階)。
Next, in step A3, the shortest path search means 5 reads the weighted undirected graph from the graph data storage unit 8, reads information on terminals other than signals from the vertex set storage unit A.9, Find the shortest path from the signal source terminal S of the network to the terminals other than the signal source,
Listed as the shortest path candidate set, the graph data storage unit 8
(A first inter-vertex shortest path search step by the first inter-vertex shortest path search unit).

【0026】次に,ステップA4では,重量コスト計算
手段6は,グラフデータ記憶部8に保存された最短径路
候補集合の中で最短径路が重複している部分のコストを
計算し,グラフデータ記憶部8に保存する(重複コスト
算出部による重複コスト算出段階)。
Next, in step A4, the weight cost calculation means 6 calculates the cost of the portion where the shortest paths overlap in the shortest path candidate set stored in the graph data storage unit 8, and stores the graph data. It is stored in the unit 8 (duplicate cost calculation step by the duplicate cost calculation unit).

【0027】次に,ステップA5では,重複コスト評価
・頂点選択手段7は,グラフデータ記憶部8に保存され
た重複コストが最大になっている径路を見つけ出す。
Next, in step A5, the overlap cost evaluation / vertex selection means 7 finds a route having the maximum overlap cost stored in the graph data storage unit 8.

【0028】次に,ステップA6では,重複コスト評価
・頂点選択手段7は,重複コストが最大になっている経
路の端点となる頂点Tを求める。
Next, in step A6, the overlapping cost evaluation / vertex selecting means 7 obtains a vertex T which is the end point of the route having the maximum overlapping cost.

【0029】次に,ステップA7では,重複コスト評価
・頂点選択手段7は,信号源端子Sからの最短径路が頂
点Tを通ることが可能な端子群Gを求め,頂点集合記憶
部B・10に保存する(目的頂点追加部による目的頂点
追加段階)。
Next, in step A7, the redundant cost evaluation / vertex selecting means 7 finds a terminal group G through which the shortest path from the signal source terminal S can pass through the vertex T, and obtains a vertex set storage section B · 10 (A target vertex adding step by the target vertex adding unit).

【0030】次に,ステップA8では,重複コスト評価
・頂点選択手段7は,頂点Tから頂点集合記憶部B・1
0に保存された端子群Gへの最短径路を求め,グラフデ
ータ記憶部8に保存する(第2の頂点間最短経路探索部
による第2の頂点間最短経路探索段階)。
Next, in step A8, the duplicate cost evaluation / vertex selection means 7 sends the vertex T to the vertex set storage unit B · 1.
The shortest path to the terminal group G stored at 0 is obtained and stored in the graph data storage unit 8 (second shortest path search between vertices by the second shortest path search between vertices).

【0031】次に,ステップA9では,重複コスト評価
・頂点選択手段7は,頂点集合記憶部B・10に保存さ
れた端子群Gに相当する頂点を頂点集合記憶部A・9か
ら削除して,頂点Tの代わりの端子として,頂点集合記
憶部A・109に保存する。
Next, in step A9, the duplicate cost evaluation / vertex selecting means 7 deletes the vertices corresponding to the terminal group G stored in the vertex set storage sections B · 10 from the vertex set storage sections A · 9. , And are stored in the vertex set storage unit A 109 as terminals instead of the vertex T.

【0032】次に,ステップA10では,重量コスト評
価・頂点選択手段7は,頂点集合記憶部A・9に保存さ
れた端子の数が1個か否かを調べ,その結果を最短経路
探索手段5へ知らせる。
Next, in step A10, the weight cost evaluation / vertex selection means 7 checks whether or not the number of terminals stored in the vertex set storage section A.9 is one, and compares the result with the shortest path search means. Inform 5

【0033】次に,ステップA11では,最短経路探索
手段5は,グラフデータ記憶部8に保存されている重み
付き無向グラフのデータと頂点集合記憶部A・9に保存
されている最後の1個となった信号源以外の端子に関す
る情報を読み込み,信号源端子Sと最後の1個となって
信号源以外の端子の間の最短経路を求め,多点網配線処
理が終了する。尚,信号源端子S外に2個以上の端子が
残っていた場合は,ステップA3に戻る(動作反復部に
よる動作反復段階)。
Next, in step A11, the shortest path searching means 5 sends the weighted undirected graph data stored in the graph data storage unit 8 and the last one stored in the vertex set storage unit A.9. The information on the terminals other than the signal source terminals is read, and the shortest path between the signal source terminal S and the last terminal other than the signal source is obtained, thereby completing the multipoint network wiring process. If two or more terminals remain outside the signal source terminal S, the process returns to step A3 (operation repetition step by the operation repetition unit).

【0034】次に,本発明の第1の実施の形態による効
果について説明する。本発明の第1の実施の形態では,
複数の端子への複数の最短径路を同時に考慮して評価す
る,というように構成されているため,2端子しか着目
しない従来の手法と比較して,総配線長等のコストがよ
り小さい配線径路を求めることが出来る。
Next, the effects of the first embodiment of the present invention will be described. In the first embodiment of the present invention,
Since the evaluation is performed by simultaneously considering a plurality of shortest paths to a plurality of terminals, a wiring path having a smaller total wiring length and the like is required as compared with the conventional method that focuses on only two terminals. Can be requested.

【0035】次に,さらに,具体的に本発明の第1の実
施の形態による電子ハードウェア装置の動作について説
明する。
Next, the operation of the electronic hardware device according to the first embodiment of the present invention will be described more specifically.

【0036】図3は図2のステップA2の段階におい
て,配線資源,端子とそれらを接続するグラフが生成さ
れた例を示す図である。図3の例では,信号源端子S3
3と端子A34,端子B35,端子C36,端子D37
を配線する径路を見つける。
FIG. 3 is a diagram showing an example in which a wiring resource, a terminal and a graph connecting them are generated in the step A2 of FIG. In the example of FIG. 3, the signal source terminal S3
3, terminal A34, terminal B35, terminal C36, terminal D37
Find the path to wire.

【0037】図4は図2のステップA3の段階におい
て,これから配線する網の信号源端子Sから,残りの端
子への最短径路を求め,最短径路候補集合として列挙し
た状況を示す図である。図4では,信号源端子S・33
から端子A・34の最短径路41,信号源端子S・33
から端子B・35の最短径路42と最短径路43,信号
源端子S・33から端子C・36の最短径路44と最短
径路45,信号源端子S・33から端子D・37の最短
径路46と最短径路47が列挙されている(第1の頂点
間最短経路探索部による第1の頂点間最短経路探索段
階)。
FIG. 4 is a diagram showing a situation in which, at the stage of step A3 in FIG. 2, the shortest path from the signal source terminal S of the network to be wired to the remaining terminals is obtained and listed as the shortest path candidate set. In FIG. 4, the signal source terminal S · 33
, The shortest path 41 of the terminal A · 34, the signal source terminal S · 33
, The shortest path 42 and the shortest path 43 of the terminal B • 35, the shortest path 44 and the shortest path 45 of the terminal C • 36 from the signal source terminal S • 33, and the shortest path 46 of the terminal D • 37 from the signal source terminal S • 33. The shortest paths 47 are listed (a first inter-vertex shortest path search step by the first inter-vertex shortest path search unit).

【0038】図5は図2のステップA4,ステップA
5,ステップA6の各段階の動作を示す図である。図5
に示すように,ステップA4の段階において,図4で列
挙した最短径路候補集合の中で最短径路が重複している
部分のコストを計算する(重複コスト算出部の第1の重
複コスト演算部による第1の重複コスト演算段階)。
FIG. 5 shows steps A4 and A in FIG.
5 is a diagram showing the operation of each stage of step A6. FIG.
As shown in (4), at the stage of step A4, the cost of the portion where the shortest paths overlap in the shortest path candidate set enumerated in FIG. 4 is calculated (by the first overlap cost calculation unit of the overlap cost calculation unit). First overlapping cost calculation stage).

【0039】次に,ステップA5の段階において,重複
コストが最大になっている径路を見つけ出する。更に,
図2のステップA6の段階において,その径路の端点と
なる頂点Tを求めた様子を示している。重複径路51
は,最短径路43と最短径路45と最短径路41と最短
径路46が重複している。図5の例では,重複コストを
枝の重みと重複数の積としている。この場合,N本の径
路が重複している場合にN−1を重複数とする(N−1
本が余分に重なっているため)。また,同じ端子へ行く
径路の重複は含まない。重複径路51の場合,最短径路
43及び最短径路45が重み2の枝で重複し,最短径路
41と最短径路43と最短径路45と最短径路46が重
み1の枝で重複しているので,重複コスト54は,2×
(2−1)+1×(4−1)=5になる。
Next, at the stage of step A5, a route having the maximum overlapping cost is found. Furthermore,
FIG. 3 shows a state in which a vertex T which is an end point of the path is obtained at the stage of step A6 in FIG. Overlap path 51
The shortest path 43, the shortest path 45, the shortest path 41, and the shortest path 46 overlap. In the example of FIG. 5, the overlapping cost is a product of the weight of the branch and the overlapping number. In this case, when N paths overlap, N-1 is regarded as a duplicate number (N-1).
Because the books are overlapping.) It does not include overlapping routes going to the same terminal. In the case of the overlapping path 51, the shortest path 43 and the shortest path 45 overlap at the branch of weight 2 and the shortest path 41, the shortest path 43, the shortest path 45, and the shortest path 46 overlap at the branch of weight 1, Cost 54 is 2 ×
(2-1) + 1 × (4-1) = 5.

【0040】同様に重複径路52の場合,最短径路41
最短径路42と最短径路44と最短径路46が重複し,
重複コスト55は,「7」なる。この重複コスト55が
最も大きな値「7」を示している。そして,信号源端子
S・33とは反対側にある重複径路52の端点が頂点T
・57になる。
Similarly, in the case of the overlapping path 52, the shortest path 41
The shortest path 42, the shortest path 44, and the shortest path 46 overlap,
The overlapping cost 55 is “7”. The overlapping cost 55 indicates the largest value “7”. The end point of the overlapping path 52 on the opposite side of the signal source terminal S • 33 is located at the vertex T.
・ It becomes 57.

【0041】図6は,図2のステップA7,ステップA
8,ステップA9の各段階の説明に供せられる図であ
る。図6を参照すると,ステップA7においては,信号
源端子Sからの最短径路が頂点Tを通ることが可能な端
子群Gを求める(目的頂点追加部による目的頂点追加段
階)。次に,ステップA8の段階として,頂点Tから端
子群Gへの最短径路を求める(第2の頂点間最短距離探
索部による第2の頂点間最短距離探索段階)。更に,ス
テップA9段階として,端子群Gを削除し,頂点Tを代
わりの端子とみなす所まで処理している。
FIG. 6 shows steps A7 and A in FIG.
FIG. 8 is a diagram provided for explanation of each stage of step A9. Referring to FIG. 6, in step A7, a terminal group G that allows the shortest path from the signal source terminal S to pass through the vertex T is determined (a target vertex adding step by a target vertex adding unit). Next, as a step A8, a shortest path from the vertex T to the terminal group G is determined (a second shortest distance search between vertices by the second shortest distance search between vertices). Further, as a step A9, the terminal group G is deleted, and processing is performed until the vertex T is regarded as a substitute terminal.

【0042】図6の場合,端子A・34と端子B・35
と端子C・36と頂点T・57の間の配線径路61が求
まり,今後は頂点T・57と端子D・37と信号源端子
33との間の配線径路を求めることになる。
In the case of FIG. 6, terminals A and 34 and terminals B and 35
A wiring path 61 between the terminal C · 36 and the vertex T · 57 is determined, and a wiring path between the vertex T · 57, the terminal D · 37, and the signal source terminal 33 will be obtained in the future.

【0043】また,図6の場合は,信号源端子S・33
以外に2個の端子(端子としてみなされている頂点T・
57と端子D・37)が残っているので,もう一度,図
2のステップA3に戻る(動作反復部による動作反復段
階)。
In the case of FIG. 6, the signal source terminal S.33
In addition, two terminals (vertex T ·
57 and the terminals D and 37 remain, so the process returns to step A3 in FIG. 2 again (operation repetition step by the operation repetition unit).

【0044】図7はステップA3の段階に戻った状態を
示す図である。図7に示す様に,最短径路71,最短径
路72,最短径路73を求め,次に重複径路74とその
重複コスト75を計算する(第1の頂点間最短経路探索
部による第1の頂点間最短経路探索段階)。
FIG. 7 is a diagram showing a state where the process returns to the step A3. As shown in FIG. 7, the shortest path 71, the shortest path 72, and the shortest path 73 are obtained, and then the overlapping path 74 and its overlapping cost 75 are calculated. Shortest path search stage).

【0045】図8は計算結果を示す図である。図8に示
す様に,頂点T’・81が新たな端子となり,端子の個
数が一個になったので,端子T’・81と信号源端子S
・33の間の最短径路を求めて処理が終了する。
FIG. 8 is a diagram showing the calculation results. As shown in FIG. 8, the vertex T ′ · 81 becomes a new terminal and the number of terminals is reduced to one, so that the terminal T ′ · 81 and the signal source terminal S
The process is completed by finding the shortest path between 33.

【0046】図9は最終結果の例を示している。FIG. 9 shows an example of the final result.

【0047】(第2の実施の形態)次に,本発明の第2
の実施の形態について図面を参照して詳細に説明する。
(Second Embodiment) Next, a second embodiment of the present invention will be described.
An embodiment will be described in detail with reference to the drawings.

【0048】図10は本発明の第2の実施の形態による
重量コストを求めた状態を示す図である。第2の実施の
形態においては,第1の実施の形態とは,重複コスト演
算の構成が異なる他は,第1の実施の形態とは,同様の
構成を有している。即ち,図5では,重複コストとして
枝の重みと重複数の積を用いたが,配線のコストは考え
ず,なるべく配線径路を共有させたい場合には,頂点の
数(通り抜ける頂点の段数)と重複数の積を用いること
も考えられる(重複コスト算出部の第2の重複コスト演
算部による第2の重複コスト演算段階)。その様に,重
複コストを計算した場合,図5は図10の様に変わる。
例えば,重複径路101の場合,重複度1で頂点1つ
分,重複度3で頂点1つ分通るので,1×1+1×3=
4いう重複コストになる。それ以外の部分は第1の実施
の形態と同じである。
FIG. 10 is a diagram showing a state in which the weight cost is obtained according to the second embodiment of the present invention. The second embodiment has the same configuration as the first embodiment except that the configuration of the overlap cost calculation is different from that of the first embodiment. That is, in FIG. 5, the product of the weight of the branch and the product of the number of overlaps is used as the overlapping cost. However, the wiring cost is not considered. It is also conceivable to use a product of a plurality of overlapping numbers (second overlapping cost calculation step by the second overlapping cost calculation unit of the overlapping cost calculation unit). When the overlapping cost is calculated in such a manner, FIG. 5 changes to FIG.
For example, in the case of the overlap route 101, one vertex is passed at the overlap degree 1 and one vertex is passed at the overlap degree 3, so that 1 × 1 + 1 × 3 =
This results in four overlapping costs. The other parts are the same as in the first embodiment.

【0049】(第3の実施の形態)次に,本発明の第3
の実施の形態について詳細に説明する。
(Third Embodiment) Next, a third embodiment of the present invention will be described.
The embodiment will be described in detail.

【0050】第1及び第2の実施の形態では,配線資源
が重み付き無向グラフで表現されることを仮定していた
が,第3の実施の形態では,重み付き有向グラフで表現
される場合を説明する。第1の実施の形態と同じ部分が
多いため,差異について詳細に説明する。
In the first and second embodiments, it is assumed that the wiring resources are represented by a weighted undirected graph. However, in the third embodiment, the case where the wiring resources are represented by a weighted directed graph is described. Will be described. Since many parts are the same as those in the first embodiment, the differences will be described in detail.

【0051】図2のステップA2で生成する重み付き無
向グラフは,配線資源に従って重み付き有向グラフとし
て表現される。従って,第1又は第2の実施の形態にお
ける第1及び第2の頂点間最短経路探索部及び段階が,
第3の実施の形態における第1及び第2の枝向き最短経
路探索部及び段階に,第1又は第2の実施の形態におけ
る重複コスト算出部の第1又は第2の重複コスト演算部
及び段階が,第3の実施の形態における重複コスト検出
部の第1又は第2の重複コスト計測部及び段階に,夫々
対応し,残りの部分である目的頂点追加部及び段階と動
作反復部及び段階とは,夫々同様の構成を有する。
The weighted undirected graph generated in step A2 of FIG. 2 is expressed as a weighted directed graph according to the wiring resources. Therefore, the first and second vertex shortest path search units and stages in the first or second embodiment are
The first and second branch shortest route searching units and the steps in the third embodiment include the first or second overlapping cost calculating unit and the steps in the overlapping cost calculating unit in the first or second embodiment. Correspond to the first or second overlapping cost measuring section and the second step of the overlapping cost detecting section in the third embodiment, respectively, and the target vertex adding section and the remaining section, the operation repeating section and the second step. Have the same configuration.

【0052】図2のステップA3については,重み付き
有向グラフの最短径路探索は,重み付き無向グラフと同
様に,Dijkstraのアルゴリズム等の既存の方法を用いる
ことが可能である。その際,最短径路は必ず信号源端子
からその他の端子の方向へ枝の向きが向いている必要が
ある。
In step A3 of FIG. 2, the shortest path search of the weighted directed graph can use an existing method such as Dijkstra's algorithm as in the case of the weighted undirected graph. At that time, the shortest path must have the branch directed from the signal source terminal to the other terminal.

【0053】図2のステップA4,ステップA5,及び
ステップA6に関しては,向きが同じ枝を共有している
最短径路同士が重複していると判断する。
In steps A4, A5, and A6 of FIG. 2, it is determined that the shortest paths sharing the same branch direction are overlapped.

【0054】図2のステップA8,ステップA11の最
短径路探索は,ステップA3と同様に既存の方法を用い
ることが出来る。
For the shortest path search in steps A8 and A11 in FIG. 2, an existing method can be used as in step A3.

【0055】[0055]

【発明の効果】以上説明したように,本発明によれば,
複数の最短径路を同時に評価して,大域的な見地から配
線径路の選択を行なっているため,従来の多点網配線方
法と比較して,総配線長の短い配線径路を求めることが
出来る多点網配線方法及び電子ハードウェア装置を提供
することができる。
As described above, according to the present invention,
Since a plurality of shortest paths are simultaneously evaluated and a wiring path is selected from a global viewpoint, a wiring path having a shorter total wiring length can be obtained as compared with the conventional multipoint network wiring method. A dot net wiring method and an electronic hardware device can be provided.

【0056】また,本発明によれば,各々の端子への最
短径路を元にして,最終的な配線径路を求めているため
信号源端子から他の端子への配線径路は全て最短径路に
出来る多点網配線方法及び電子ハードウェア装置を提供
することができる。
Further, according to the present invention, since the final wiring path is obtained based on the shortest path to each terminal, all the wiring paths from the signal source terminal to other terminals can be the shortest paths. A multipoint network wiring method and an electronic hardware device can be provided.

【図面の簡単な説明】[Brief description of the drawings]

【図1】本発明の第1の実施の形態による電子ハードウ
ェア装置の構成を示すブロック図である。
FIG. 1 is a block diagram showing a configuration of an electronic hardware device according to a first embodiment of the present invention.

【図2】図1の電子ハードウェア装置の動作を示す流れ
図である。
FIG. 2 is a flowchart showing an operation of the electronic hardware device of FIG. 1;

【図3】図1の電子ハードウェア装置の動作の具体例で
あり,図2のステップA2の段階を示す図である。
FIG. 3 is a diagram showing a specific example of the operation of the electronic hardware device of FIG. 1 and showing the stage of step A2 in FIG. 2;

【図4】図1の電子ハードウェア装置の動作の具体例で
あり,図2のステップA3の段階を示す図である。
FIG. 4 is a diagram showing a specific example of the operation of the electronic hardware device of FIG. 1 and showing the stage of step A3 in FIG. 2;

【図5】本発明の第1の実施の形態の動作の具体例であ
り,図2のステップA4,ステップA5,ステップA6
を終了した段階を示す図である。
FIG. 5 is a specific example of an operation according to the first embodiment of the present invention, which is performed in steps A4, A5, and A6 in FIG.
It is a figure which shows the stage which finished.

【図6】本発明の第1の実施の形態の動作の具体例であ
り,図2のステップA7,ステップA8,ステップA9
を終了した段階を示す図である。
FIG. 6 is a specific example of the operation of the first exemplary embodiment of the present invention, and is a diagram illustrating steps A7, A8, and A9 in FIG. 2;
It is a figure which shows the stage which finished.

【図7】本発明の第1の実施の形態の動作の具体例であ
り,図2の流れ図に従い,ステップA3に戻り,新たな
端子に対して最短径路と重複コストを求めた段階を示す
図である。
FIG. 7 is a specific example of the operation of the first exemplary embodiment of the present invention. FIG. 7 is a diagram showing a stage in which, according to the flowchart of FIG. It is.

【図8】本発明の第1の実施の形態の動作の具体例であ
り,新たな端子に対して求めた重複コストに基づき重複
径路と新たな頂点T’,及び端子から頂点T’までの最
短径路を求めた段階を示す図である。
FIG. 8 is a specific example of the operation of the first embodiment of the present invention, and shows an overlapping path, a new vertex T ′, and a terminal to a vertex T ′ based on an overlapping cost obtained for a new terminal. It is a figure showing the stage where the shortest path was calculated.

【図9】本発明の第1の実施の形態の動作の具体例であ
り,最終的な配線径路を求めた段階を示す図である。
FIG. 9 is a specific example of the operation of the first exemplary embodiment of the present invention, and is a diagram illustrating a stage in which a final wiring path is obtained.

【図10】本発明の第2の実施の形態において重複コス
トをもとめた状態を示す図である。
FIG. 10 is a diagram showing a state in which duplicate costs are obtained in the second embodiment of the present invention.

【符号の説明】[Explanation of symbols]

1 入力装置 2 データ処理装置 3 記憶装置 4 出力装置 5 最短径路探索手段 6 重複コスト計算手段 7 重複コスト評価・頂点選択手段 8 グラフデータ記憶部 9 頂点集合記憶部A 10 頂点集合記憶部B 31 頂点 32 枝 33 信号源端子S 34 端子A 35 端子B 36 端子C 37 端子D 41 最短径路 42 最短径路 43 最短径路 44 最短径路 45 最短径路 46 最短径路 47 最短径路 51 重複径路 52 重複径路 53 重複径路 54 重複コスト 55 重複コスト 56 重複コスト 57 頂点T 61 配線径路 71 最短径路 72 最短径路 73 最短径路 74 最短径路 75 最短コスト 81 頂点T’ 101 重複径路 102 重複径路 103 重複径路 104 重複コスト 105 重複コスト 106 重複コスト DESCRIPTION OF SYMBOLS 1 Input device 2 Data processing device 3 Storage device 4 Output device 5 Shortest path search means 6 Duplication cost calculation means 7 Duplication cost evaluation / vertex selection means 8 Graph data storage unit 9 Vertex set storage unit A 10 Vertex set storage unit B 31 Vertex 32 branch 33 signal source terminal S 34 terminal A 35 terminal B 36 terminal C 37 terminal D 41 shortest path 42 shortest path 43 shortest path 44 shortest path 45 shortest path 46 shortest path 47 shortest path 51 overlapping path 52 overlapping path 53 overlapping path 54 Duplicate cost 55 Duplicate cost 56 Duplicate cost 57 Vertex T 61 Wiring path 71 Shortest path 72 Shortest path 73 Shortest path 74 Shortest path 75 Shortest cost 81 Vertex T '101 Duplicate path 102 Duplicate path 103 Duplicate path 104 Duplicate cost 105 Duplicate cost 106 Duplicate cost

───────────────────────────────────────────────────── フロントページの続き (56)参考文献 特開 平6−283603(JP,A) 山形孝幸、藤井章博、根元義章,”マ ルチキャスト通信向け経路決定アルゴリ ズムの提案と評価”,電子情報通信学会 論文誌D−▲I▼,平成9年9月,第J 80−D−▲I▼巻,第9号,p.739− 744 (58)調査した分野(Int.Cl.7,DB名) G06F 17/50 H01L 21/82 G06F 17/00 - 17/18 ────────────────────────────────────────────────── ─── Continuation of front page (56) References JP-A-6-283603 (JP, A) Takayuki Yamagata, Akihiro Fujii, Yoshiaki Nemoto, "Proposal and Evaluation of Routing Algorithm for Multicast Communication," Electronic Information IEICE Transactions D-I, September 1997, J80-D-I Volume 9, No. 9, p. 739−744 (58) Fields surveyed (Int.Cl. 7 , DB name) G06F 17/50 H01L 21/82 G06F 17/00-17/18

Claims (12)

(57)【特許請求の範囲】(57) [Claims] 【請求項1】 配線資源の情報から各枝の重みを定めた
重み付き無向グラフにおいて、そのグラフを構成する
号源端子を第1の頂点とし、この第1の頂点から、2個
以上の信号源以外の端子の第1の頂点集合への径路を求
める際に、前記第1の頂点から前記第1の頂点集合の中
の各頂点への最短径路候補集合を求める第1の頂点間最
短経路探索部と、求めた最短径路候補集合の中で、前記
第1の頂点集合中の各々の頂点への最短径路が重複して
いる部分の重複コストを求める重複コスト算出部と、前
記第1の頂点集合の中で、重複コストが最も大きい径路
を前記第1の頂点からの最短径路に含む第2の頂点集合
を前記第1の頂点集合からとり除き、代わりに、重複し
ている径路の前記第1の頂点とは反対の端点である第2
の頂点を新たな径路探索の代わりの端子とみなし、頂点
として前記第1の頂点集合に追加する目的頂点追加部
と、前記第2の頂点集合から前記第2の頂点までの部分
についての最短径路を求める第2の頂点間最短経路探索
部と、以上の一連の各部の処理を前記第1の頂点集合の
要素が一つになるまで繰り返すように前記各部を動作さ
せる動作反復部とを備えたことを特徴とする電子ハード
ウェア装置。
1. A <br/> weighted undirected graph that defines the weight of each branch from the information of the wiring resources, signal constituting the graph
The issue source terminal and the first vertex from the first vertex, when obtaining the first path to the vertex set other than two or more signal sources terminal, the first from the first vertex A first inter-vertex shortest path search unit for obtaining a shortest path candidate set to each vertex in the vertex set, and a shortest path to each vertex in the first vertex set among the obtained shortest path candidate sets. An overlap cost calculation unit for calculating an overlap cost of a portion where a route overlaps, and a second vertex including a route having a highest overlap cost in a shortest route from the first vertex in the first vertex set. The set is removed from the first set of vertices, and instead a second end of the overlapping path, which is the opposite end of the first set of vertices from the first set of vertices.
Is regarded as a terminal in place of a new route search, and a target vertex adding unit which adds the vertex to the first vertex set as a vertex; and a shortest route for a portion from the second vertex set to the second vertex. And an operation repetition unit that operates the units so as to repeat the above-described series of processing of each unit until the number of elements of the first vertex set becomes one. An electronic hardware device, characterized in that:
【請求項2】 請求項1記載の電子ハードウェア装置に
おいて、前記重複コスト算出部は、重複している径路を
構成する全ての枝の重みの総和と重複度の関数として重
複コストを求める第1の重複コスト演算部を含むことを
特徴とする電子ハードウェア装置。
2. The electronic hardware device according to claim 1, wherein the overlap cost calculation unit calculates the overlap cost as a function of the sum of the weights of all the branches constituting the overlapping paths and the degree of overlap. An electronic hardware device comprising: a duplication cost calculation unit.
【請求項3】 請求項1記載の電子ハードウェア装置に
おいて、前記重複コスト算出部は、重複している径路を
構成する全ての頂点の数と重複度の関数として重複コス
トを求める第2の重複コスト演算部を含むことを特徴と
する電子ハードウェア装置。
3. The electronic hardware device according to claim 1, wherein the overlap cost calculation unit calculates the overlap cost as a function of the number of all vertices constituting the overlapping route and the degree of overlap. An electronic hardware device comprising a cost calculation unit.
【請求項4】 配線資源の情報から各枝の重みを定めた
重み付き有向グラフにおいて、そのグラフを構成する
号源端子を第1の頂点とし、この第1の頂点から、2個
以上の信号源以外の端子の第1の頂点集合への径路を求
める際に、枝の向きに従って、前記第1の頂点から前記
第1の頂点集合の中の各頂点への最短径路候補集合を求
める第1の枝向き最短経路探索部と、求めた最短径路候
補集合の中で、前記第1の頂点集合中の各々の頂点への
最短径路が同じ向きの枝を共有するしている部分の重複
コストを求める重複コスト検出部と、前記第1の頂点集
合の中で、重複コストが最も大きい径路を前記第1の頂
点からの最短径路に含む第2の頂点集合を前記第1の頂
点集合からとり除き、代わりに、重複している径路の前
記第1の頂点とは反対の端点である第2の頂点を新たな
径路探索の代わりの端子とみなし、頂点として前記第1
の頂点集合に追加する目的頂点追加部と、前記第2の頂
点集合から第2の頂点までの部分について枝の向きに従
って最短径路を求める第2の枝向き最短経路探索部と、
以上の各部の処理を前記第1の頂点集合の要素が一つに
なるまで繰り返すように前記各部を動作させる動作反復
部とを備えたことを特徴とする電子ハードウェア装置。
4. In a weighted directed graph in which the weight of each branch is determined from wiring resource information, a signal forming the graph is used.
The issue source terminal and the first vertex from the first vertex, when obtaining the first path to the vertex set of two or more signal sources other than the terminal, according to branch direction, said first apex of A first branch-directed shortest path search unit for obtaining a shortest path candidate set to each vertex in the first vertex set from the first vertex set; An overlap cost detection unit for finding an overlap cost of a portion where the shortest path to the vertex shares a branch in the same direction, and a path having the highest overlap cost in the first vertex set being the first path. The second set of vertices included in the shortest path from the vertices is removed from the first set of vertices, and a second vertex which is the opposite end point of the overlapping path from the first set of vertices is newly added. The terminal is regarded as a substitute for a simple route search , and the first
A target vertex adding unit to be added to the set of vertices, a second branch-direction shortest path search unit that obtains the shortest path according to the branch direction for the portion from the second set of vertices to the second vertex,
An electronic hardware device comprising: an operation repetition unit that operates the units so that the processing of each unit described above is repeated until the number of elements of the first vertex set becomes one.
【請求項5】 請求項4記載の電子ハードウェア装置に
おいて、前記重複コスト検出部は、同じ向きの枝を共有
している径路を構成する全ての枝の重みの総和と重複度
の関数として重複コストを求める第1の重複コスト計測
部を含むことを特徴とする電子ハードウェア装置。
5. The electronic hardware device according to claim 4, wherein the overlap cost detection unit performs the overlap as a function of the sum of the weights of all the branches constituting the paths sharing the same direction of the branch and the degree of overlap. An electronic hardware device including a first duplicate cost measuring unit for calculating a cost.
【請求項6】 請求項4記載の電子ハードウェア装置に
おいて、前記重複コスト検出部は、同じ向きの枝を共有
している径路を構成する全ての頂点の数と重複度の関数
として重複コストを求める第2の重複コスト計測部を含
むことを特徴とする電子ハードウェア装置。
6. The electronic hardware device according to claim 4, wherein the overlap cost detecting unit calculates the overlap cost as a function of the number of all vertices constituting the paths sharing the same direction of the branch and the degree of overlap. An electronic hardware device including a second duplicate cost measuring unit to be obtained.
【請求項7】 配線資源の情報から各枝の重みを定めた
重み付き無向グラフにおいて、そのグラフを構成する
号源端子を第1の頂点とし、この第1の頂点から、2個
以上の信号源以外の端子の第1の頂点集合への径路を求
める際に、前記第1の頂点から前記第1の頂点集合の中
の各頂点への最短径路候補集合を求める第1の頂点間最
短径路探索段階と、求めた最短径路候補集合の中で、前
記第1の頂点集合中の各々の頂点への最短径路が重複し
ている部分の重複コストを求める重複コスト算出段階
と、前記第1の頂点集合の中で、重複コストが最も大き
い径路を前記第1の頂点からの最短径路に含む第2の頂
点集合を前記第1の頂点集合からとり除き、代わりに、
重複している径路の前記第1の頂点とは反対の端点であ
る第2の頂点を新たな径路探索の代わりの端子とみな
、頂点として前記第1の頂点集合に追加する目的追加
段階と、前記第2の頂点集合から前記第2の頂点までの
部分についての最短径路を求める第2の頂点最短径路探
索段階と、以上の一連の各段階の処理を前記第1の頂点
集合の要素が一つになるまで繰り返すように前記各段階
を動作させる反復動作段階とを備えたことを特徴とする
多点網配線方法。
7. In a weighted undirected graph in which the weight of each branch is determined from information on wiring resources, a signal constituting the graph is provided.
The issue source terminal and the first vertex from the first vertex, when obtaining the first path to the vertex set other than two or more signal sources terminal, the first from the first vertex A first inter-vertex shortest path search step for finding a shortest path candidate set to each vertex in the vertex set, and a shortest path to each vertex in the first vertex set in the obtained shortest path candidate set. An overlapping cost calculating step of obtaining an overlapping cost of a portion where the paths overlap, and a second vertex including, in the first vertex set, a path having the highest overlapping cost in a shortest path from the first vertex. Remove the set from the first set of vertices;
A second vertex, which is an end point of the overlapping route opposite to the first vertex, is regarded as a substitute terminal for a new route search.
And the purpose additional steps to be added to the first vertex set as the vertex, a second vertex shortest path search stage to determine the shortest path for the portion from the second vertex set to said second vertex, or A repetitive operation step of operating each of the steps so as to repeat the processing of each of the steps until the number of elements of the first vertex set becomes one. Wiring method.
【請求項8】 請求項7記載の多点網配線方法におい
て、前記重複コスト算出段階は、重複している径路を構
成する全ての枝の重みの総和と重複度の関数として重複
コストを求める第1の重複コスト演算段階を含むことを
特徴とする多点網配線方法。
8. The multi-point network wiring method according to claim 7, wherein the step of calculating the overlapping cost includes the step of calculating the overlapping cost as a function of the sum of the weights of all the branches constituting the overlapping route and the degree of overlap. A multipoint network wiring method, comprising one overlapping cost calculation step.
【請求項9】 請求項7記載の多点網配線方法におい
て、前記重複コスト算出段階は、重複している径路を構
成する全ての頂点の数と重複度の関数として重複コスト
を求める第2の重複コスト演算段階を含むことを特徴と
する多点網配線方法。
9. The multi-point network wiring method according to claim 7, wherein the step of calculating the overlapping cost includes the step of calculating the overlapping cost as a function of the number of all vertices constituting the overlapping route and the degree of overlap. A multipoint network wiring method comprising an overlapping cost calculation step.
【請求項10】 配線資源の情報から各枝の重みを定め
重み付き有向グラフにおいて、そのグラフを構成する
信号源端子を第1の頂点とし、この第1の頂点から、2
個以上の信号源以外の端子の第1の頂点集合への径路を
求める際に、枝の向きに従って、前記第1の頂点から前
記第1の頂点集合の中の各頂点への最短径路候補集合を
求める第1の枝向き最短経路探索段階と、求めた最短径
路候補集合の中で、前記第1の頂点集合中の各々の頂点
への最短径路が同じ向きの枝を共有するしている部分の
重複コストを求める重複コスト検出段階と、前記第1の
頂点集合の中で、重複コストが最も大きい径路を前記第
1の頂点からの最短径路に含む第2の頂点集合を前記第
1の頂点集合からとり除き、代わりに、重複している径
路の前記第1の頂点とは反対の端点である第2の頂点を
新たな径路探索の代わりの端子とみなし、頂点として前
記第1の頂点集合に追加する目的頂点追加段階と、前記
第2の頂点集合から第2の頂点までの部分について枝の
向きに従って最短径路を求める第2の枝向き最短経路探
索段階と、以上の処理を前記第1の頂点集合の要素が一
つになるまで繰り返すように動作させる動作反復段階と
を備えたことを特徴とする多点網配線方法。
10. The weight of each branch is determined from information of wiring resources.
In the weighted directed graph, a signal source terminal constituting the graph is defined as a first vertex, and from the first vertex, 2
A shortest path candidate set from the first vertex to each vertex in the first vertex set according to the direction of a branch when obtaining a path to a first vertex set of terminals other than the signal sources or more. The first branch-directed shortest path searching step for obtaining the shortest path to the respective vertices in the first vertex set in the obtained shortest path candidate set. And a second vertex set including a path having the highest overlap cost in the shortest path from the first vertex to the first vertex. Remove from the set and instead consider the second vertex of the overlapping path opposite the first vertex as the alternative terminal for a new path search, and use the first vertex set as the vertex Adding a target vertex to the second vertex set Causing operation to repeat until the second branch direction shortest path search step and, above process the first element of the vertex set for obtaining the shortest path in accordance with the direction of the branch for the portion up to the second vertex is one A multipoint network wiring method, comprising an operation repetition step.
【請求項11】 請求項10記載の多点網配線方法にお
いて、前記重複コスト検出段階は、同じ向きの枝を共有
している径路を構成する全ての枝の重みの総和と重複度
の関数として重複コストを求める第1の重複コスト計測
段階を含むことを特徴とする多点網配線方法。
11. The multipoint network wiring method according to claim 10, wherein the step of detecting the overlap cost comprises the step of: determining a sum of weights of all branches constituting a path sharing a branch in the same direction and a function of the degree of overlap. A multipoint network wiring method, comprising: a first overlapping cost measurement step for determining an overlapping cost.
【請求項12】 請求項10記載の多点網配線方法にお
いて、前記重複コスト検出段階は、同じ向きの枝を共有
している径路を構成する全ての頂点の数と重複度の関数
として重複コストを求める第2の重複コスト計測段階を
含むことを特徴とする多点網配線方法。
12. The multi-point network wiring method according to claim 10, wherein the step of detecting the overlapping cost comprises the step of detecting the overlapping cost as a function of the number of all vertices constituting the path sharing the branch of the same direction and the degree of overlapping. A multi-point network wiring method, comprising:
JP33518197A 1997-12-05 1997-12-05 Multipoint network wiring method and electronic hardware device therefor Expired - Lifetime JP3138675B2 (en)

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JP5271817B2 (en) * 2009-06-10 2013-08-21 日本電信電話株式会社 Route search method, apparatus and program
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JP2013003876A (en) * 2011-06-17 2013-01-07 Kddi Corp Program, device and system for cable lying design in consideration of layable route
CN110765563B (en) * 2019-10-08 2023-05-23 杭州阳斯信息技术有限公司 Automatic distribution network wiring method based on multiple shortest paths of necessary points

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Title
山形孝幸、藤井章博、根元義章,"マルチキャスト通信向け経路決定アルゴリズムの提案と評価",電子情報通信学会論文誌D−▲I▼,平成9年9月,第J80−D−▲I▼巻,第9号,p.739−744

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