A7A7
經濟部中央標準局貝工消费合作社印袋 f g明之背景〕 發明之領域 本發明有蘭於，函數式等進行圔表化之顯示之圈表顯 示装置，尤其有翮於，I攏^爪|之圖表顯示裝置’可以 將多個函數式之圏表同時顔示在同一侮之χγ座檫軸上， _不同之ΧΥ座標軸上》. 相開技術之笋明 Y=f(x>之函數式，例如經由輸λΥ=χ2和指定Χ,Υ之 顯示範圍，則可以在被指穿疲上氣示·γ = χ 2 之圖表，此種圏表顯示裝置已被實用化，此種技術披記 載在丨丨8? 4,794,553號公報，1131)4 , 7 9 4,5 5 4號^-#^419? /C420P。另外，此種圖表顯示裝置所具有之功能亦可以 將多俩通數式之—圖表，以鼠形式同時顯示在同一 梱X，Υ1標上。但是，东依此方式臀劣艇雨數式之圖表 同時顯示在囿一個Χ,Υ座樣上之情況時，多個函數式之 ^金相同，f能顯示具有不同顯示範圍么、 gL數式藉以進行..比較…。 另外，函數式之圖表潁示描箸通黻式^不固而有不同 a座揉象蝽，例如咋為座標条统者，依照函數式之不同 而使用有正琢·摩^ ,參轉座擦"専，良果薦·"之座 標糸統需要傾別獼立的篇示'。 〔孽明之》萌] 本/發斜^針之是^供—種圖表顯示 裝置，可以將多個函數式以圖表化之形式同時顯示在不 •本纸張尺度適用中國國家揉準（CNS ) Α4规格（210Χ297公釐）· ----------II (請先閱讀背面之注意事項再填寫本頁) 訂 經濟部中央標準局貝工消費合作社印製 A7 B7 五、發明説明u ) 同之顯示範圍。 本發明之另一目的是提供一種圖表顯示裝置，可以同 時p示固雄標条統之函數式 用以達成上述目的之本發明依照申請專利範圍箪1項 .來構成。利用此種方式所構成之本缓明一可以同時-Jt持多 個函數式之圖表顯示，藉似進彳tit較。 L附圖之簡要說明〕 圖1至圖6用來表示本發明之第1實施例， 圖1是外觀画，用來表示本發明之一實施例之圖表顯 示裝置。 圖2是方塊圖，用來表示上述之圖表顯示裝置之電子 電路之構造。 圖3是流程圖，用來表示利用上述之圖表顯示裝置之 之式輸入圖表化處理。 圖4是流程圖，用來表示利用上述之圖表顯示裝置之 多個式之合成/分割圖表化處理。 圖5是流程圖，用來表示利用上述之圖表顯示裝置之 圖表顯示狀態之分割/合成/複製處理。 圖6表示依照上述之圖表顯示裝置之圖表化顯示處理 之圖表顯示部之顯示狀態，圖6A表示輸入式之一覽顯示 狀態，圖6B表示多値式之圖表化合成顯示狀況，圖6C表 示多傾式之圖表化分割顯示狀態，圖6D表示多個式之圖 表化分割顯示狀態之指定圖表合成顯示狀態。 圖7至圖16用來表示本發明之第2實施例。 本紙張尺度逋用中國國家標準（CNS ) A4規格（210X297公釐） n- ml HI nn —1— ^^1 ^^1 —Λ I» ^^^1 —ί ,一-eJ (請先閱讀背面之注意事項再填寫本頁) 五、發明説明（ A7 B7 經濟部中央標準局員工消費合作社印褽 計電 模 圖 圖 交圖 交圖 交表 處 表 數子 表 之 之 之統 之統 之圖 體 圖 函電 圖 機 機 機条 機条 機統 全 標 之之 之 算 算 算標 算標 算糸 之 座 例機 機 計 計 計座 計座 計標 態 交 施算 算 數 數 數交 數交 數座 模 正 實計 計 函 函 函正 函正 函數 表 \ c 一 數 數 之 之 之 \ 之 \ 之參 圖 表態 之函 函 逑 述。述表 述表 述 / 之 圖狀 明之 之 上 上理上圖 上圖 上表 機 統示 發述 述 照。照處照統 照統 照圖 算 条顯 本上 上 依理依之依糸 依条 依統 計。標標 示 示 示 示處示體示標 示標 示糸 數態座座D 表表 表 表算表全表座 表座 表標 函狀極點明 來來 來 來演來算來極。來數。來座 之示之交説 用用 用 用化用演用之理用參理用極。述顯述之細 , , ，* ,表，點，理處，之處，之理上入上理詳 圖圖 圖理圖圖圖交圖處算圖理算圖理處照輸照處之 觀塊 程處程之程之程之深程處演程處算依之依算例 外方。流之流理流理流體點流體點流體演示式示演體 是是造是體是處是處是全交是全交是全點表數表點具 7 。8 構 9 全10態11態12算之13算之14算交15函16交隹 圖機圖之圖之圖模圖模圖演間圖演間圖演之圖之圖之較 算 路 態 表 表 點表 點表 點間 理 間t Μ裝------訂------Λ (請先閱讀背面之注意事項再填寫本頁) 本紙張尺度適用中國國家標準（CNS > A4規格（210X297公釐） 經濟部中央梯準局員工消費合作社印製 A7 〇tS2H^____ 五、發明説明（4 ) (第1實施例） 圖1至圖6D用來表示本發明之第1實施例。 圖1是外觀圖，用來表示本發明之圖表顯示裝置。 該圖表顯示裝置之本體10形成使用者可以以單手把持 之大小程度。 在該本體10之正面設有按鍵輸入部11和點矩陣式之液 晶顯示裝置1 2 ^ 在上述之按鍵輸入部11具備有：「ON」鍵13,用來進 行電源之投入和中斷；數值/記號鍵14,用來進行輸入 欲以圖表顯示之函數式資料等，和輸入將圖表顯示在上 述之顯示裝置12時之作為顯示範圍之X軸和Y軸之座標 範圍（XBin，Xmax)(YiBin,YBax)之資料，· 「圓表」鍵 15, 用來進行被輸入之函數式資料之圖表之顯示；「一覧j 鍵16，用來進行被輸入之多痼函數式資料之同時顯示； 游標鍵21，從利用該「一覽」鍵16所顯示之多锢函數式 資料中，選擇所欲進行圖表顯示之函數式資料，· 「合成」 鍵17,用來將利用游標鍵21所任意指定之多値函數式資 料之圖表，圖表化的合成顯示在相同之座標上，或將分 割顯示在不同座標上之圖表合成顯示在其他之圖表之座 標上；「分割」鍵18,用來將上述被顯示之多個函數式 資料中之被任意指定之多個函數式資料之圖表加以分割 藉以顯示在不同之座標上，或將被合成顯示在上述同一 座標上之多個圖表分別顯示在不同之座標上；「複製」 鍵19,用來將被顯示在上述不同座標上之圖表複製顯示 本紙張尺度適用中國國家標率（〇奶）八4規格（210父297公釐）The background of the printed bag fg of the Beigong Consumer Cooperative of the Central Bureau of Standards of the Ministry of Economics] Field of the Invention The present invention has a ring-shaped display device for displaying the display of functions, such as functions, etc. The chart display device can display multiple functional formulas simultaneously on the XY axis of the same insult, _ on different X Υ coordinate axes. "The functional formula of the phase separation technology Y = f (x >, For example, by inputting λΥ = χ2 and specifying the display range of Χ, Υ, you can show the fatigue on the finger when you wear it. Γ = χ2. This type of ring display device has been put into practical use. This technique is described in丨 丨 8? 4,794,553 Gazette, 1131) 4, 7 9 4,5 5 No. 4 ^-# ^ 419? / C420P. In addition, the function of such a graph display device can also display multiple graphs of two pass-through types simultaneously in the form of mouse on the same X, Υ1 label. However, when the graph of the rain formula of the inferior boat is displayed on a sample of X and Y at the same time, the gold of multiple functional formulas is the same, can f show different display ranges, gL formulas? Use it for comparison ... In addition, the function charts show the tracing method. They are not solid but have a different shape. For example, if they are coordinate systems, they are used according to the different function formulas. Rub the "quote, good fruit recommendation" coordinate system needs to bid farewell to the instructions. 〔Ningmingzhi》 Meng] This / fat ^ pin is ^ supply-a kind of chart display device, which can display multiple functional formulas simultaneously in the form of a graph. This paper scale is applicable to China National Standard (CNS) Α4 specifications (210Χ297mm) · ---------- II (please read the notes on the back before filling in this page) Order A7 B7 printed by Beigong Consumer Cooperative of Central Bureau of Standards, Ministry of Economic Affairs u) Same display range. Another object of the present invention is to provide a graph display device that can simultaneously display the functional formula of Guxiong's standard system. The invention used to achieve the above-mentioned objectives is constructed according to the patent application. This method can be used to display multiple functional formulas simultaneously, which can be used for comparison. Brief Description of the Drawings] FIGS. 1 to 6 are used to show the first embodiment of the present invention. FIG. 1 is an appearance drawing showing a graph display device according to an embodiment of the present invention. Fig. 2 is a block diagram showing the structure of the electronic circuit of the above-mentioned graph display device. Fig. 3 is a flowchart for showing the graph input processing using the above-mentioned graph display device. Fig. 4 is a flow chart showing a synthesis / division graphing process of multiple equations using the graph display device described above. Fig. 5 is a flowchart showing the division / synthesis / copy processing of the graph display state using the graph display device described above. FIG. 6 shows the display state of the graph display part according to the graph display processing of the graph display device described above, FIG. 6A shows the list display state of the input formula, FIG. 6B shows the multi-valued graph synthesis display state, and FIG. 6C shows the multi-tilt The graphical split display state of the formula. FIG. 6D shows the designated graph composite display state of the graphical split display state of multiple formulas. 7 to 16 show the second embodiment of the present invention. This paper uses the Chinese National Standard (CNS) A4 specification (210X297 mm) n- ml HI nn —1— ^^ 1 ^^ 1 —Λ I »^^^ 1 —ί, 一 -eJ (please read first Note on the back and then fill out this page) 5. Description of the invention (A7 B7 The Central Standards Bureau of the Ministry of Economic Affairs Employee Consumer Cooperative Printed the electrical model diagram, the diagram, the diagram, the table, the table, the number of tables, the system of the system Body chart, correspondence chart machine, machine, machine, machine, machine, standard, calculation, calculation, calculation, calculation, calculation, calculation, calculation, calculation, calculation, calculation, calculation, calculation, calculation, calculation, calculation, calculation, calculation, calculation, calculation Modular real calculation function letter function positive function positive function table \ c a number of the number \ of \ the reference state of the function of the state of the letter. The description of the expression / the picture is above the above. The above is the above. The machine displays the description and description. According to the rules, the statistics are based on the statistics and the statistics are based on the rules. The label is displayed at the location, the body is displayed, and the label is displayed. Table, table, table, table, table, table, table, chart, function, pole Act to calculate the pole. Come to count. The explanations of the seats are used for the use of the use of the use of the use of the theory of the use of the principle of the use of the pole. The details of the description,,, *, table, point, reason, The theory is based on the detailed diagram, the graph, the graph, the graph, the graph, the graph, the graph, the graph, the graph, the graph, the graph, the graph, the graph, the graph, the block, the block, the block, the block, the block, the block, the block, and the block. The exception is the flow of fluids, fluids, fluids, fluids, fluids, fluids, and fluids. Demonstrations are made of bodies, everywhere, all intersections, all intersections, and all points. 11 states, 12 calculations, 13 calculations, 14 calculations, 15 calculations, 16 crossover charts, diagrams, graphs, graphs, graphs, graphs, graphs, graphs, graphs, graphs, graphs, graphs, graphs, graphs, graphs, graphs. Intermediate room t Μ 装 ------ order ------ Λ (please read the precautions on the back before filling in this page) This paper size is applicable to China National Standards (CNS & A4 specifications (210X297mm ) A7 〇tS2H ^ ____ printed by the Employee Consumer Cooperative of the Central Escalation Bureau of the Ministry of Economic Affairs 5. Description of the invention (4) (first embodiment) Figures 1 to 6D are used to show the first embodiment of the present invention. Figure 1 is the appearance Figure, used to represent the present invention Graph display device. The body 10 of the graph display device has a size that the user can hold with one hand. On the front of the body 10 is provided a key input section 11 and a dot matrix type liquid crystal display device 1 2 ^ The input unit 11 is provided with: an "ON" key 13 for power on and off; a numeric / sign key 14 for input of functional data to be displayed in a graph, etc., and input to display the graph in the above display Device 12 is the data of the coordinate range (XBin, Xmax) (YiBin, YBax) of the X axis and Y axis as the display range, and the "round table" key 15 is used to display the graph of the entered functional data. ; "One view j key 16, used for simultaneous display of multi-function data entered; Cursor key 21, from the multi-function function data displayed by the" list "key 16, select the desired graph display Functional data, "synthesis" key 17, used to display the graph of multiple functional data arbitrarily designated by the cursor key 21, the graphical composition is displayed on the same coordinate, or the division is displayed on different seats The above chart is synthesized and displayed on the coordinates of other charts; the "segment" key 18 is used to divide the chart of multiple functional data specified arbitrarily among the multiple functional data displayed above to display on different On the coordinates, or multiple graphs that are synthesized and displayed on the same coordinate are displayed on different coordinates; the "Copy" key 19 is used to copy and display the graphs displayed on the above different coordinates. This paper size is applicable China National Standard Rate (〇 奶) 84 specifications (210 father 297 mm)
In· 1^1 n^i n^— n m m ΙΛ- m ml m·--eJ (請先閲讀背面之注意事項再填寫本頁) 經濟部中央樣準局員工消費合作社印裝 A7 B7 五、發明説明（τ ) 在其他之圖表上；和「ΕΧΕ」鍵20,用來實行上述之"合 成"，”分割”複製"等之多種功能。 上述之顯示裝置12具有由縱向64點，横向128點所形 成之顯示區域，用來顯示利用上述之數值/記號鍵14所 輸入之數值和文字所構成之函數式資料和X軸及Υ軸之 座標範圍資料。另外，該顯示裝置12亦依照上述之被指 定之X軸和Υ軸之座標範圍，用來對被輸入之函數式資 料之圖表進行圖表顯示。 該圖表顯示是使上述顯示區域全體顯示在被指定之X 軸和Υ軸之座標範圍，在上述一覧顯示之多傭式中有2 艏函數式被指定之情況時，就將該顯示區域分割成左右 兩個，將各個函數式之圖表顯示在各値顯示區域。另外 ，當有3個或4値之式被指定要進行分割顯示時，就將 該顯示區域分割成上下左右4個，將各個函數式之圖表 顯示在各個顯示區域。 圖2是方塊圔，用來表示上述之圖表顯示裝置之電子 電路之構造。 在該圖表顯示裝置之電子電路具備有CPU(中央處理裝 置）21,利用該CPU 21來實行電路之各個部份之動作控 制。 在上述之CPU21連接有上述之按鍵输入部11和經由顯 示缓衝器22連接有上述之顯示裝置12,以及連接有ROM( 僅讀記億器）23和RAM(隨機存取記億器）24。 在ROM 2 3預先記億有用以使該圖表顯示裝置進行動作 本紙張尺度適用中國國家標準（CNS ) A4規格（210X297公釐） n- mV nn —Bn ϋϋ —^^1 *ϋ ^^—^1 ————— λ«ϋ« flu T < (請先閱讀背面之注意事項再填寫本頁) B7 五、發明説明（今 之基本条統程式，和記億有：圖表顙示裝置程式，用來 進行對應到被按鍵输入之函數式等之圖表顯示；合成處 理程式，用來將多個式圖表化的合成顯示在同一値座標 上；和複製處理程式，用來將一方之圖表複製顯示在另 外一方之圖表上。 另外，依照被記億在該ROM 2 3之各個程式，利用上述 之CPU 21來實行控制動作。 在上述之RAM 24除了圖中未顯示之按鍵输入暫存器和 各種旗標暫存器外，還具備有：式暫存器25a，25bj---- 分別用來記億和管理多個被输入之函數式資料；和範圍 ----------— ----------， 一-·^·' ^ .一~--—一一一 ' ~- 暫存器26a，26b_____用來記億和設定分別對應到該式暫 〜.__________ ---— 存器25a，25b----，所記億之各個函數式所對應之X軸和 ------ ------·、· 一 ..-----—~~~—— —―-—-------——. • - — — . -·· -- _ Y 軸之座標範圍（Xfflin，Xnax)(Ymi n . Ym ax)。、 下面將說明依照上述方式所構成之圖表顯示裝置之動 作 圖3是流程圖，用來表示上述圖表顯示裝置中之被輸 入之函數式之圖表顯示之圖表化處理。 經濟部中央棣準局員工消費合作社印製 (請先閱讀背面之注意事項再填寫本頁) 亦即，在步驟S1,利用上述按鍵輸入部11中之數值/ 記號鍵14進行按鍵輸入，藉以輸入進行圖表顯示之函數 式資料，其次在步费SS2,輸入該輸入式之圖表化顯示時 之X軸和Y軸之座標晦圍資料。在、步驟S 1所輸入之式資 料被記億在AM 24之式暫存器25a，25b，...，在步驟S2所 輸入之座標範圍資料被記億在對應到各式之範圍暫存器 26a, 26b，·.·. -8 一 本紙張尺度適用中國固家標準（CNS ) A4規格（210X297公釐） B7 五、發明説明（7 ) 其中，在操作「圖表」鍵15時，在步驟S3檢測該操作 ，其次在步驟S4實行圔表顯示處理。例如，依照（對應 到被記億在上述式暫存器25a之第1式）被記億在範圍暫 存器26a之X和Y座標範圍，將對應到X軸方向之各個 顯示圖素之X座標代入到上述.之第1式，順序的算出其 Y座標，計算該座標點（Χ,Υ)在奎面上對應到X，Y方向的 那一個圖素，經由將該點點亮，可以在如匾1所示的顯 示裝置12進行圖表顯示。與此種圖表顯示有騮之資料被 記載在 U S Ρ 4，7 9 4 , 5 5 3 號。 重複上述之圖3之處理，用來使多値函數式資料被記 億在式暫存器25a,25b,----另外，在對應之範圍暫存器 26a,26b，...則記億對應到各個函數式資料之顳示範圍 資料。 圖4是流程圖，用來表示利用上述圖表顯示裝置之多 個式之合成/分割圖表化處理。 圖5是流程圖，用來表示利用上述圖表顯示裝置之圖 表顯示狀態之分割/合成/複製處理。 經濟部中央標準局員工消費合作社印製 (請先閱讀背面之注意事項再填寫本頁) 圖6 A至6D用來表示依照上述之圖表顯示裝置之圖表化 顯示處理之圖表顯示部12之顯示狀態，圖6A表示輸入式 之一覽顯示狀態，圔6B表示多個式之画表化合成顯示狀 態，圖6C表示多锢式之圖表化分割顯示狀態，圖6D表示 多個式之圖表化分割顯示狀態之指定圖表合成顯示狀態》 亦即，首先，對於上述RAM 24中之多掴式暫存器25a, 25b，...，和範圍暫存器26a ,26b,...,輸入 例如5傾之 本紙張尺度適用中國國家標準（CNS ) A4規格（210X297公釐） <>18235 A7 B7 五、發明説明（？） 函數式和其對應之座標範圍，和加以記億，在此狀態操 作按鍵輪入部11中之「一覽j鍵16。 如此一來，圔4中之多値式之合成/分割圖表化處理 就被啓動，將被記億在上述RAM 24内之各傾式暫存器25a ,25b,.·.,之5艏函數式（包含不等式等）全部讀出，如 圖6 A所示，對被記億在式暫存器25a之函數式附加1之 號碼，對被記億在暫存器25 b之函數式附加2之號碼， 以這種方式進行顯示（步驟Α1)β 這時，經由操作游標鍵21用來指定成為圖表化函數式 之第2式「Υ^Χ2」，第3式「Y<X + 2j ，第5式「 Y= -X 2 J (步驟Α2)β其次，在選擇以上述指定之多個 式進行合成顯示作為顯示形態之情況時，亦即選擇將上 述指定之多値函數式顯示在同一座標之情況時，就操作 「合成」鍵17 (步驟Α3Κ 在「合成」鍵17被操作之情況時，就前進到步驟Α4, 利用上述之游標鍵20謓出對應到最初被指定之第2式之 範圍暫存器26b所記億之座標範圍，用以設定顯示裝置 12中之X, Y座標範圍。 經濟部中央標準局員工消費合作社印袋 (請先閱讀背面之注意事項再填寫本頁) 然後，依照對應到上述第2式之座標範圍，將每一個 1顯示點之X軸座標值分別代入到上述之第2式，第3 式，第5式，藉以順序的計算各對應之Y座標籍以進行 圖表化（步驟A 5 ) β 利用這種方式，如圖6Β所示，顯示對應到第2式之範 圍暫存器26 b所記億之座標範圍之Χ,Υ座標，和分別對應 -1 0 -本紙張尺度適用中國國家標準（CNS ) Α4規格（210 X 297公釐） 經濟部中央標準局員工消費合作社印袋 A7 B7 五、發明説明（？） 到上述第2式，第3式，第5式之圖表被合成顯示在設 定於第2式用之座標範圍之相同之座標上（步驟Α6)β 在這種情況時，上述第2式和第3式之各個不等式之 共同之座標區域，經由反轉等被區別的顯示。 另外，在上述之步驟Α4是利用被記億之對應到游標鍵 2 0所指定之式之範圍用來顯示各式之圖表，但是也可以 設置選擇開鼸用來選擇所使用之座標範圍使其對應到某 一式》另外，在對應到被指定之多値式之座標範圍中， 也可以設置檢測裝置用來檢測X，Υ之最大值，最小值， 以檢測到之Χ,Υ之最大值，最小值作為顯示座標範圍時 ，被指定之式之圖表變成必需顯示被對應記億之座標範 圍之圖表。 另外一方面，利用上述游標鍵21之操作，指定第2式 「Υ^Χ2」，第3式「YCX + 2」，第5式「γ=-χ2」 作為所欲圖表化之函數式（步驟Α2),在希望分割顯示該 被指定之多個式之情況時，亦即在希望使各値獨立顯示 之情況時，利用步驟A3之顯示形態之指定是經由操作「 分割」鍵1 8。 如此一來，就從步驟A3前進到Α7,因為圖表化之函數 式有3掴被指定，所以圖表顯示部12如圖6C所示的被分 割成上下左右4個，第1象限12 a被設定作為第2式用 圖表顙示區域，第2象限12b為第3式用圖表顯示區域 ，第3象限12C為第5式用圖表顯示區域（步驟A7)。 亦即，在步驟A7,各値函數式所對應之座標範圍被設 -1 1 - 本紙張尺度適用中國國家標率（CNS ) A4規格（210X297公釐） 1· m· n n Hi tm tm m· ΙΜΛΛ1 m It— nn m·--aJ (請先閱讀背面之注意事項再填寫本頁) A7 B7 經濟部中央揉準局員工消費合作社印聚 化 五、發明説明（I，。） 定成縱向32點X橫向64點之顯示範圍，因此被記億在暫 存器25b之第2式之圖表其第1象限12a之右端之點是被 記億在暫存器26b之座標範圍之X之最大值，左端之黏 是被記億在暫存器26b之座標範圍之X之最小值，上端 是Y之最大值，下端是Y之最小值，利用這種方式來進 行計算，藉以將圖表顯示資料記億在RAM 24之圖中未顯 示之區域。 另外，對於第3式和第5式，第2象限12b和第3象限12c 之各個端部之點分別利用被記億在暫存器26c(用來記億 第3式之座標範圍）和暫存器26e(用來記億第5式之座 標範圍）之座標範圍之最大值和最小值來計算。 然後，在下一値之步驟A8,進行如圖6C所示之方式之 分割顯示。 利用這種方式，任意指定之各個函數式，以對應到各 個座標之範圍之圖表，被分割顯示在分割後之鄰接之各 値顯示區域上。 另外，在分割或合成之圖表顯示時，於操作「分割」 鍵18， 「合成」鍵17， 「複製」鍵19之情況，就實行圖 5之流程画所示之處理。首先，當操作按鍵輸入部11之 「分割」鍵18時，就判斷是否在上述之合成顯示中（步 驟 Β 1-» B2 ) 〇 假如是在合成顯示中，被合成顯示在同一座標上之各 値函數圖表，就依照上述步驟A7〜A9中之分割圖表 處理，祐各個座標範上進行再，如上述之圖6 C， -12- 本紙張尺度適用中國國家標準（CNS ) A4規格（210X297公釐） (請先閲讀背面之注意事項再填寫本頁) 訂 經濟部中央標準局員工消費合作社印製 ^1^235_^_ 五、發明説明（v ) 所示，對於各個對應之象限12a，12b,12c，形成分割顯 示之方式（步驟B3)。 另外一方面，如上述之圖6(C)所示，在對應到3傾函 數之各値圖表被分割顯示之狀態，於操伤述之f成」 鍵17之情況（步驟B4),可以操作游標鍵21等，例如可以 順序的指定被顯示在第1象限12 a之第2式之圔表和被 顯示在第2象限12b之第3式之圖表（步驟B5),然後依 照 「ΕΧΕ」鍵20之操作，可以再計算對應到最初被指 定之窠2式之圖表之座標範圍之第3式之圖表，如圖6D 所示，合成顯示在與第2式之圖表相同之座標上之第1 象限12a (步驟Β6)。 然後，如上述之圖6 C或圖6 D所示，在對應到3個函數 之各値圖表被分割顯示之狀態，於操作上述之「複製」 鍵19之情況（步驟B7),可以操作游標鍵21等，例如可以 順序的指定被顯示在第2象限12 b之第3式之圖表和被 顯示在第3象限12C之第5式之圖表（步驟B8),然後依 照「ΕΧΕ」鍵20之操作，將第2象限12b之圖表，以0R條 件將其點資料重叠在第3象限12c之圖表上藉以進行複 製顯示（步驟B9h 因此，依照上述構造之圖表顯示裝置畤，操作良鏵輸 入薄J 1之敫—值/纪號鍵—14 ,甩來預先输入—多個所欲.匾表 化之函數式和其各個座標軺_，以其被起懷之狀態，操 作「一覽士鍵1 6將該多個式全部顯示在顯示萍1 2 ,當操 作用以指定任意之多個式之「合成」鍵17時，就依照最 -1 3 - 本紙張尺度適用中國國家標準（CNS ) Α4规格（210X297公釐） II ^袭 訂 (請先閱讀背面之注意事項再填寫本頁) 經濟部中央標準局貝工消費合作社印製 A7 B7 五、發明説明（γ) 初被指定之函數式之座標範圍，對各値指定式進行圖表 化之合成顯示，9外，當操作用以指定上述之任意之多 掴式之「分割」鍵18時，就依照各個對應之座標範圍， 分別的進行圖表化之分割顯示。 另外，在上述之分割顯示狀態，當操作「合成」鍵17 用以指定2値圖表時，就依照「ΕΧΕ」鍵20之操作，將 另外一方之圖表合成顯示在與該一方之圖表相同之座標 上，另外，當操作「複製」鍵19用以指定2傾圖表時， 就依照「ΕΧΕ」鍵2Q之操作，將該一分之圖表複製顯示 在另外一方之圖表上。 因此，可以將多個式在不同之座標上進行圖表化之對 照顯示，或選擇性的進行合成顯示，藉以能夠自由的解 析各値圖表和其他之圖表之關係。 另外，在上述之實施例中所欲圖表化之函數式之指定 和合成或所欲複製之圖表之指定操作是構建成使用游標 鍵等之按鍵操作裝置，但是也可以構建成在上述之顯示 裝置12上叠層觸摸面板，經由對該觸摸面板進行壓接操 作，藉以進行各種指定操作。 另外，在上述之實施例中，對應到各値函數式之被圖 表化之資料是被記億在RAM 24，但是，亦可以將縱向64 點横向128點所構成之顯示資料當作位元圖像的記億在框 架記億器，因為需要大量之記億器容量，所以各値圖表 化資料可以只記億X座標之顯示點數（128値黏）之各痼 對應之Y點座標之Υ1，Υ2,...Υ128β -1 4 - 本紙張尺度適用中國國家標準（CNS ) A4規格< 210X297公釐） .......- - - In (n - -- I、 j i---------- -- - II- I - - - >SJ (請先閱讀背面之注意事項再填寫本頁) 經濟部中央標準局員工消費合作社印袋 A7 B7 五、發明説明（θ ) 如上所述，依照本發明之第一實施例時，在利用顯示 形態選擇裝置，選擇將多個式顯示在同一座標上之顯示 形態之情況時，可以將各値式圔表化的合成顯示在該多 値式之其中之一値式之顯示範圍資料所對應之同一座標 上，另外，在利用上述之顯示形態選擇裝置，選擇將多 個式顯示在不同座檫之顯示形態之情況時，可以將各値 對應之式圖表化的分割顯示在毎一傾式之顯示範圍資料 所對應之被分割之各個座標上。 另外，在上述被分割顯示之多個圖表中，可以將被指 定之圖表合成顯示在其他之圖表之座標上，9外，在多 傾被分割之多値圖表之中，可以將指定之圖表複製顯示 在其他之圖表上。 利用這種方式，當對多値式進行圖表化之顯示時，可 以使各個圖表被適當的合成或分割，可以具有彈性的操 作。 (第2實施例） 圖7至圖16用來表示本發明之第2實施例，圖7是外 觀圖，用來表示組合有本發明之圖表顯示裝置之函數計 算機。 該函數計算機之裝置本體11Q形成使用者可以以單手 把持之大小程度。 在該裝置本體11D之正面設有按鍵輸入部111和點矩陣 式之液晶畫面所形成之圖表顯示部112β 在上述之按鍵輸入部111具備有：數值/記號鍵113, _ 1 5 - 本紙張尺度適用中國國家標準（CNS ) A4規格（210X297公釐） (請先閱讀背面之注意事項再填寫本頁) 訂 A7 B7 經濟部中央梂準局男工消費合作社印袈 五、發明説明 (，， ) 1 1 I 用 來 進 行 输 入 欲 以圖 表顯示 之函數 式等 ，和依照該输入 1 1 I 式 之 圖 表 化 1 输 入X 軸和Y 軸之座 標範 圍U» i n,Xaax) 1 1 (Y·i η, Yeax) 「正交J鍵】 L14,用 來指 定正交座樣函數 /«•"V 請 先 1 1 式 之 输 入 厂 極 J鍵 115，用來指定極座檩函 數式之输入 閱 1 背 1 » 厂 參 數 J 鍵 1 ] 6,用來指定參數座標函數式 之输入； 面 之 1 厂 圖 表 J 鍵 117, 用來進行所输入之函數式之 圏表化顯示 注 意 1 | 事 1 > 厂 交 點 J 鍵 118,用來求得多但函數式之圈 表上之交 項 再 1 1 點 座 榡 t 和 Γ EXEj 鍵 119〇 用來進 行上 述输入函數式之 1 本 表 決 定 等 〇 頁 V_✓ 1 1 上 述 之 圖 表 顯 7P部 1 12具有縱向64點， 横向 128黠之液 1 I 晶 顯 示 耋 面 * 經 由上 述之數 值/記 號鍵 1 13所 输入之正 1 1 交 座 標 % 统 之 函 數式 和棰座 檫条统 之凾 數式， 或參數座 1 訂 1 t 標 % 統 之 函 數 式 等， 對於不 同座標 糸統 之函數式可以依 照 使 用 者 所 指 定 之X 軸和Y 軸之座 標範 圍被圖表化的顯 1 1 示 〇 1 I 例 如 9 當 被 輸 入之 正交座 擦函數 式和 棰座樺函數式同 1 1 時 被 顯 示 在 上 述 之圖 表顯示 部112時，當操作 「交點」 > | 鍵 11 8時， 就計算各個圖表之間之交點座標， 藉以顯示 1 1 該 圖 表 上 之 交 點 位置 之點指 示和交 點座 稼值。 1 1 圖 8 是 方 塊 圖 ，用 來表示 上述之 函數 計算機之電子電 1 I 路 之 構 造 〇 1 1 1 該 函 數 計 算 機 之電 子電路 具備有 CPU (中央處理裝置） 1 I 12 〇 , 利用該CPU 1 2 0來實行 霣路之 各値 部份之動作控制。 1 I 在 上 逑 之 CPU 120連接有上述之按鍵輸入部 11 1和經由 1 1 -16- 1 1 1 1 本紙張尺度適用中國國家標準（CNS ) A4規格（21攸297公釐） 經濟部中央橾準局員工消費合作社印聚 A7 B7 五、發明説明（) 顯示控制部121連接有圖表顯示部112,以及還連接有ROM 122，RAM 123, V(視頻）RAM 124。 在上述之ROM 122,預先記億有用來使函數計算機進行 動作之基本糸統程式，和圖表顯示處理程式，用來進行 對應到被按鍵輸入之函數式等之圖表顯示，以及交點演 算處理程式，用來求得被顯示之多値圖表間之交點座標。 另外，依照被記億在該ROM 12 2之各個程式，利用上 述之CPU 120來實行控制動作。 在上述之RAM 123,除了按鍵輸入暫存器和各種旗標 暫存器等之外，還具備有；式暫存器125,用來記億依 照上述之數值/記號鍵113和「正交」鍵114, 「極j極 115, 「參數」鍵116等之操作所輸入之函數式，範圍暫 存器126,用來記億當輸入式之圖表化顯示時，被設定 在圖表顯示部112之Χ,Υ座標範圍（Xfflin，Xisax) (Yaiin，Ymax) ;和交點演算用暫存器127,當上述交點演算處理之實 施時，依照需要用來收納被變換成正交座標条統之座標 值之一方之函數式所對應之座標值（XI，Y1)和對應到另 外一方之函數式之座標值（Χ2,Υ2)β 上述之VRAM 124具有視頻記億器區域，以1: 1之關係 對應到上述之圖表顯示部112之顯示區域之各個點，在 上述之圖表顯示處理之實行時，用來記億被輸入之函數 式所對應之圖表化資料。 下面將説明依照上述方式所構成之函數計算機之動作。 圖9是流程圖，用來表示上迷之函數計算機之圖表模 -1 7 - 本紙張尺度適用中國國家標準（CNS ) Α4規格（210X297公釐） ----------<------ΐτ (請先閱讀背面之注意事項再填寫本頁) 經濟部中央橾準局貝工消費合作社印袋 ^18235 37 五、發明説明（《> ) 態之全體之處理。 亦即，在圖9之圖表模態之全體之處理中，選擇性的 操作按鍵輸入部111之數值/記號鍵113和「正交」鍵114 ,「棰」鍵115， 「參數」鍵116,例如，當輸入正交座 標函數式「Y=X+1」，棰座標函數式「y=sin0j ， 參數座標函數式「Xt=2cosT，Yt=2sinTj時，該各個 輸入函數式就被記億在RAM 123内之式暫存器125,和被 寫入到VRAM 124,然後如圖15所示的被顯示在圖表顯示 部1 1 2 (步驟S 1 1 )。 在這種情況時，上述之參數座標函數式「Xt = 2cosT,In · 1 ^ 1 n ^ in ^ — nmm ΙΛ- m ml m · --eJ (please read the precautions on the back before filling out this page) A7 B7 printed by the Consumer Cooperative of the Central Bureau of Samples of the Ministry of Economic Affairs (Τ) On other charts; and "ΕΧΕ" key 20, used to implement the above-mentioned "combination", "splitting" copy "and other functions. The above-mentioned display device 12 has a display area formed by 64 dots in the vertical direction and 128 dots in the horizontal direction, and is used to display the functional data and X-axis and Υ-axis data formed by the values and characters entered by the above-mentioned numeric / sign keys 14 Coordinate range information. In addition, the display device 12 is also used to graphically display the graph of the input functional data according to the coordinate range of the X axis and the Y axis specified above. This graph shows that the entire display area is displayed in the coordinate range of the specified X-axis and Υ-axis. In the case of the 2 multi-function formula specified in the above-mentioned multi-commission formula, the display area is divided into Left and right, display the graphs of each function in each value display area. In addition, when three or four values are specified for split display, the display area is divided into four up, down, left, and right, and the graphs of each function are displayed in each display area. Fig. 2 is a block diagram showing the structure of the electronic circuit of the above-mentioned graph display device. The electronic circuit of the graph display device is provided with a CPU (Central Processing Unit) 21, and the CPU 21 is used to control the operation of each part of the circuit. The above-mentioned CPU 21 is connected to the above-mentioned key input unit 11 and the above-mentioned display device 12 via the display buffer 22, and is connected to a ROM (read only memory) 23 and a RAM (random access memory) 24 . It is useful to pre-record 100 million in ROM 2 3 to make the chart display device operate. The paper standard is applicable to the Chinese National Standard (CNS) A4 specification (210X297 mm) n- mV nn —Bn ϋϋ — ^^ 1 * ϋ ^^ — ^ 1 ————— λ «ϋ« flu T < (please read the precautions on the back before filling in this page) B7 V. Description of the invention (the basic basic program of today, Hutchison has: chart display device program , Used to display graphs corresponding to the function formulas entered by keys, etc .; a synthesis processing program, used to display multiple graphed compositions on the same coordinate value; and a copy processing program, used to copy one side of the graph It is displayed on the graph on the other side. In addition, according to the programs recorded in the ROM 2 3, the above-mentioned CPU 21 is used to perform control operations. In the above-mentioned RAM 24, in addition to the key input registers and In addition to various flag registers, there are: type registers 25a, 25bj ---- used to record billions and manage multiple input functional data; and range --------- -— ----------, one- · ^ · '^. One ~ ---- one one one' ~-temporary 26a, 26b_____ are used to record 100 million and the settings correspond to this formula temporarily ~ .__________ ----- registers 25a, 25b ----, the X-axis and ---- corresponding to each functional formula of the recorded 100 million ------- ·, · 1....-~~~~---------•---.----- The coordinate range of the Y axis (Xfflin, Xnax) (Ymi n. Ym ax). The following will describe the operation of the graph display device constructed in the above manner. FIG. 3 is a flowchart for indicating that the graph display device is input Printed by the graph display of the functional formula. Printed by the Employee Consumer Cooperative of the Ministry of Economic Affairs of the Central Ministry of Economic Affairs (please read the precautions on the back before filling in this page). That is, in step S1, use the The numeric / symbol key 14 is used for key input, so as to input functional data for graph display, followed by step fee SS2, input the data of the X-axis and Y-axis coordinates during the graphical display of the input formula. In step S 1 The input data of the formula is recorded in the AM 24 type register 25a, 25b, ..., the coordinate range data input in step S2 is recorded in the corresponding Various types of range registers 26a, 26b,... -8. One paper standard is applicable to China Gujia Standard (CNS) A4 specification (210X297mm) B7 5. Invention description (7) Among them, in the operation "chart When the key 15 is pressed, the operation is detected in step S3, and then the watch display process is executed in step S4. For example, in accordance with the X and Y coordinate ranges of the register 26a (corresponding to the first formula of the register 100a in the above-mentioned register 25a), the corresponding X of each display pixel in the X-axis direction Substitute the coordinates into the first formula of above. Calculate the Y coordinates sequentially, calculate the pixel corresponding to the X and Y directions of the coordinate point (Χ, Υ) on the Kui surface, by lighting the point, you can Graphic display is performed on the display device 12 shown in the plaque 1. The data with this kind of chart showing that it is a record is recorded in U S Ρ 4, 7 9 4, 5 5 3. Repeat the process of Figure 3 above to make the multi-valued functional data be recorded into the local registers 25a, 25b, ---- in addition, in the corresponding range of registers 26a, 26b, ... 100 million corresponds to the temporal data of each functional data. Fig. 4 is a flow chart showing the synthesis / division graphing process of multiple equations using the above graph display device. Fig. 5 is a flowchart showing the division / synthesis / copy processing of the graph display state using the graph display device. Printed by the Staff Consumer Cooperative of the Central Bureau of Standards of the Ministry of Economic Affairs (please read the precautions on the back before filling in this page) Figure 6 A to 6D are used to indicate the display status of the graph display section 12 according to the graph display processing of the graph display device described above Fig. 6A shows the list display state of the input formula, Fig. 6B shows the combined display state of the drawing of multiple formulas, Fig. 6C shows the split display state of the graph of the multi-type, and Fig. 6D shows the split display state of the graph of the multiple formulas The designated graph synthesis display state "that is, first, for the multi-slap registers 25a, 25b, ..., and the range registers 26a, 26b, ... in the RAM 24 above, enter, for example, 5 This paper scale is applicable to the Chinese National Standard (CNS) A4 specification (210X297mm) < > 18235 A7 B7 V. Description of the invention (?) The function formula and its corresponding coordinate range, and to add billions, operate the button in this state The "list j key 16" in the rounding part 11. As a result, the multi-value combination / division graphing process in U4 is started, and each of the tilt registers 25a in the RAM 24 will be recorded. , 25b, ..., 5 of the functional formula ( Including all inequalities etc.), as shown in Fig. 6A, add 1 to the function of the register 25a, and add 2 to the function, 25b. , Display in this way (step Α1) β At this time, the cursor 2 is used to specify the second formula “Υ ^ Χ2” which becomes a graphical function formula, the third formula “Y < X + 2j, formula 5 "Y = -X 2 J (Step Α2) β Secondly, when selecting the above-mentioned multiple formulas for composite display as the display mode, that is, selecting the above-mentioned multiple-valued functional formulas to be displayed at the same coordinate At this time, the "synthesis" key 17 is operated (step Α3K. When the "synthesis" key 17 is operated, proceed to step Α4, use the cursor key 20 described above to correspond to the range of the first designated formula 2 temporarily. The coordinate range of 100 million recorded in the memory 26b is used to set the X, Y coordinate range of the display device 12. The Central Consumers Bureau of the Ministry of Economic Affairs Employee Consumer Cooperative Printed Bag (please read the precautions on the back and fill in this page) Then, follow Corresponding to the coordinate range of the above formula 2, each 1 The X-axis coordinate values of the displayed points are respectively substituted into the above-mentioned formula 2, formula 3, formula 5, by sequentially calculating the corresponding Y-coordinates for graphing (step A 5) β using this method, such as As shown in Fig. 6B, the X, Y coordinates corresponding to the coordinate range of 100 million recorded in the range register 26 b of the second formula are displayed, and they correspond to -10 respectively. The paper size is applicable to the Chinese National Standard (CNS) Α4 specification ( 210 X 297 mm) Printed bags A7 B7 of Employee Consumer Cooperative of Central Bureau of Standards, Ministry of Economic Affairs V. Description of invention (? ) To the above formula 2, formula 3, and formula 5 graphs are synthesized and displayed on the same coordinates set in the coordinate range for formula 2 (step Α6) β. In this case, the above formula 2 and The common coordinate area of each inequality in the third formula is displayed by being reversed and the like. In addition, in the above step A4, the range of the formula specified by the cursor key 20 corresponding to the cursor key 20 is used to display various types of graphs, but it is also possible to set the selection open to select the coordinate range used. Corresponding to a certain formula. In addition, in the coordinate range corresponding to the specified multiple formulas, a detection device can also be provided to detect the maximum and minimum values of X, Υ, and the maximum value of the detected X, Υ, When the minimum value is used as the display coordinate range, the graph of the specified formula becomes necessary to display the graph corresponding to the coordinate range of 100 million. On the other hand, using the operation of the cursor key 21 described above, specify the second formula "Υ ^ Χ2", the third formula "YCX + 2", and the fifth formula "γ = -χ2" as the desired function formula (step Α2), when it is desired to split and display the specified multiple expressions, that is, when it is desired to display each value independently, the designation using the display form in step A3 is performed by operating the "divide" key 18. In this way, proceed from step A3 to A7. Since 3 slaps are specified for the graph function, the graph display unit 12 is divided into four up, down, left, and right as shown in FIG. 6C, and the first quadrant 12 a is set. As the graph display area for the second formula, the second quadrant 12b is the graph display area for the third formula, and the third quadrant 12C is the graph display area for the fifth formula (step A7). That is, in step A7, the coordinate range corresponding to each value function is set to -1 1-This paper scale is applicable to the Chinese national standard (CNS) A4 specification (210X297 mm) 1 · m · nn Hi tm tm m · ΙΜΛΛ1 m It— nn m · --aJ (Please read the precautions on the back before filling in this page) A7 B7 Centralized Bureau of Economic Affairs Employee's Consumer Cooperative Printed Polymerization V. Description of Invention (I ,.) Set to vertical 32 Point X is a horizontal 64-point display range. Therefore, the point on the right of the first quadrant 12a of the graph of the second type recorded in the register 25b is the maximum value of X recorded in the coordinate range of the register 26b. , The sticky value at the left end is the minimum value of X recorded in the coordinate range of the register 26b, the upper end is the maximum value of Y, and the lower end is the minimum value of Y. This method is used to calculate and record the data displayed in the chart. 100 million is not shown in the RAM 24 diagram. In addition, for Equations 3 and 5, the points of the respective ends of the second quadrant 12b and the third quadrant 12c are respectively recorded in the register 26c (used to record the coordinate range of the third equation of the billion) and temporary Calculate the maximum and minimum values of the coordinate range of the memory 26e (the coordinate range used to memorize the fifth formula). Then, in the next step A8, split display is performed as shown in FIG. 6C. In this way, each function formula specified arbitrarily is divided and displayed on each adjacent value display area after division by a graph corresponding to the range of each coordinate. In addition, when the graph of division or synthesis is displayed, when the "divide" key 18, the "synthesis" key 17, and the "copy" key 19 are operated, the processing shown in the flowchart of FIG. 5 is executed. First, when the "split" key 18 of the key input unit 11 is operated, it is judged whether it is in the above-mentioned composite display (step B1- »B2). If it is in the composite display, each of which is displayed on the same coordinate is synthesized The function chart is processed in accordance with the split charts in steps A7 ~ A9 above, and carried out on each coordinate model, as shown in Figure 6 C above, -12- This paper scale applies the Chinese National Standard (CNS) A4 specification (210X297 () Please read the precautions on the back and then fill out this page) Printed by the Employees Consumer Cooperative of the Central Standards Bureau of the Ministry of Economy ^ 1 ^ 235 _ ^ _ V. Description of the invention (v) For each corresponding quadrant 12a, 12b , 12c, forming a split display mode (step B3). On the other hand, as shown in FIG. 6 (C) above, in the state where the respective graphs corresponding to the 3-tilt function are divided and displayed, in the case of the f key of the injury description 17 (step B4), it can be operated Cursor keys 21, etc., for example, can be sequentially designated to be displayed in the first quadrant 12a of the second type stub table and displayed in the second quadrant 12b of the third type chart (step B5), then according to the "ΕΧΕ" key The operation of 20 can recalculate the graph of the third formula corresponding to the coordinate range of the originally designated graph of type 2 as shown in FIG. 6D. The first coordinate is displayed on the same coordinate as the graph of the formula 2 Quadrant 12a (step B6). Then, as shown in FIG. 6 C or FIG. 6 D above, in a state where the graphs corresponding to the three functions are divided and displayed, the cursor can be operated when the above-mentioned “copy” key 19 is operated (step B7) Key 21, etc., for example, you can sequentially specify the graph of formula 3 displayed in the second quadrant 12 b and the graph of formula 5 displayed in the third quadrant 12C (step B8), and then follow the "EXX" key 20 Operation, the graph of the second quadrant 12b is overlapped with the point data on the graph of the third quadrant 12c under the condition of 0R to copy and display (step B9h) 1 敫 —value / epoch number key—14, throw in pre-enter—multiple desired. The plaque-represented functional formula and its various coordinates _, in its state of being pregnant, operate the "list of keys 1 6 will All of the multiple formulas are displayed on the display Ping 12. When the "synthesis" key 17 used to designate any multiple formulas is operated, the Chinese National Standard (CNS) Α4 specifications are applied in accordance with this paper standard (most). 210X297mm) II ^ Reservation (please read the notes on the back before filling (Write this page) A7 B7 printed by Beigong Consumer Cooperative of Central Bureau of Standards of the Ministry of Economy V. Description of invention (γ) The coordinate range of the initially specified functional formula, which is graphically synthesized and displayed for each value specified formula. When the operation is used to designate any of the above-mentioned "segmentation" keys 18, the graph is divided and displayed separately according to the corresponding coordinate range. In addition, in the above-mentioned split display state, when the "synthesis" is operated Key 17 is used to designate 2-value charts, according to the operation of "ΕΧΕ" key 20, the other side's chart is synthesized and displayed on the same coordinate as the side's chart, in addition, when the "copy" key 19 is used to specify 2. When tilting the graph, follow the operation of the "ΕΧΕ" key 2Q to copy and display the one-point graph on the other chart. Therefore, you can display the comparison of multiple formulas on different coordinates, or Selectively display synthetically, so that you can freely analyze the relationship between each chart and other charts. In addition, in the above embodiment, the designation of the function formula to be charted and The specified operation of the synthesized or to-be-replicated chart is constructed as a key operation device using a cursor key, etc., but it can also be constructed as a touch panel laminated on the above-mentioned display device 12, by performing a pressure bonding operation on the touch panel, thereby Perform various designation operations. In addition, in the above-mentioned embodiment, the graphed data corresponding to each value function is recorded in the RAM 24, but it is also possible to display data composed of 64 vertical points and 128 horizontal points. As a bit image, the 100 million memory is recorded in the frame. Because a large amount of 100 million memory capacity is required, each graph data can only record the display points of the X coordinate of the 100 million (128 sticky). Y point coordinates of Υ1, Υ2, ... Υ128β -1 4-This paper scale is applicable to the Chinese National Standard (CNS) A4 specification < 210X297mm) .......---In (n-- I, j i ------------II- I---> SJ (please read the precautions on the back before filling out this page) Printed Bag A7, Employee Consumer Cooperative, Central Bureau of Standards, Ministry of Economic Affairs B7 V. Description of the Invention (θ) As mentioned above, according to the first embodiment of the present invention, in When the display form selection device is used to select the display form in which multiple formulas are displayed on the same coordinate, the composition of the various formulas can be displayed on the display range data of one of the multiple formulas. Corresponding to the same coordinate, in addition, when using the above-mentioned display form selection device to select a display form in which multiple formulas are displayed in different sassafras, it is possible to display the division of each corresponding formula graphically on each tilt The divided coordinates corresponding to the display range data of the formula. In addition, among the multiple charts displayed above, the specified chart can be combined and displayed on the coordinates of other charts. In addition to 9, the specified chart can be copied in the multi-tilt divided multi-value chart. Shown on other charts. In this way, when the multi-value format is displayed graphically, each graph can be appropriately synthesized or divided, and the operation can be flexible. (Second Embodiment) Figs. 7 to 16 are for showing a second embodiment of the present invention. Fig. 7 is an external view for showing a function computer incorporating the graph display device of the present invention. The device body 11Q of the functional computer has a size that the user can hold with one hand. On the front of the device body 11D, there is provided a key input part 111 and a graph display part 112β formed by a dot matrix type liquid crystal screen. The above-mentioned key input part 111 is provided with: numeric / sign keys 113, _ 1 5-the paper size Applicable to the Chinese National Standard (CNS) A4 specification (210X297mm) (please read the notes on the back before filling in this page) Order A7 B7 Printed by the Central Bureau of Economic Affairs of the Ministry of Economic Affairs. 1 1 I is used to input the function formula to be displayed in a graph, etc., and according to the input. 1 1 I-type graph 1 Input the coordinate range of X axis and Y axis U »in, Xaax) 1 1 (Y · i η , Yeax) "Orthogonal J key] L14, used to specify the orthogonal block-like function /« • " V, please input the factory type J key 115 first, used to specify the input of the polar block purlin function type 1 Back 1 »Factory parameter J key 1] 6, used to specify the input of the parameter coordinate function formula; the face 1 factory chart J key 117, used to perform the tabular display of the entered function formula Note 1 | Event 1 > Factory delivery Point J key 118 is used to find the intersection of the multi-function but functional circle table and then 1 1 point block Γ and Γ EXEj key 119 is used to carry out the above input function formula 1 This table is determined etc. Page V_✓ 1 1 The above graph shows that the 7P part 1 12 has a liquid with 64 dots in the vertical direction and 128 dots in the horizontal direction. 1 I crystal shows the surface. * The positive value entered through the above numeric / sign keys 1 13 1 1 The mathematical formula of the zigzag system, or the function formula of the parameter set 1 t standard% system, etc. For different coordinate systems, the functional formula can be plotted according to the coordinate range of the X axis and Y axis specified by the user Displayed as 1 1 〇1 I For example 9 When the input orthogonal function formula and the birch birch function formula are the same as 1 1 is displayed in the above-mentioned graph display unit 112, when operating the "intersection point" > | When the key is 11 to 8, the coordinates of the intersection point between the various graphs are calculated, so that the point indication and intersection value of the intersection point on the graph are displayed. 1 1 FIG. 8 is a block diagram showing the structure of the electronic circuit of the above function computer 1 I circuit 〇1 1 1 The electronic circuit of the function computer is equipped with a CPU (Central Processing Unit) 1 I 12 〇, using the CPU 1 2 0 to implement the motion control of the various parts of the road. 1 I The above-mentioned CPU 120 is connected to the above-mentioned key input section 11 1 and via 1 1 -16- 1 1 1 1 This paper standard is applicable to the Chinese National Standard (CNS) A4 specification (21 297 mm) Central Ministry of Economic Affairs Printed A7 B7 of the Consumers ’Cooperative of the Provincial Bureau of Justice 5. Description of the invention () The display control unit 121 is connected to the graph display unit 112, and is also connected to the ROM 122, RAM 123, and V (video) RAM 124. In the above-mentioned ROM 122, there are pre-recorded billions of basic system programs for operating the function computer, and graph display processing programs for performing graph display corresponding to the function expressions input by keys, and intersection calculation processing programs, It is used to find the coordinate of the intersection point between the displayed multiple charts. In addition, according to each program recorded in the ROM 12 2, the CPU 120 is used to perform control operations. In the above RAM 123, in addition to the key input register and various flag registers, etc., there is also a type register 125, which is used to record 100 million in accordance with the above-mentioned value / sign key 113 and "orthogonal" Key 114, "pole j pole 115," parameter "key 116, etc. The input function type, range register 126, used to remember the billion when the input type is displayed graphically, it is set in the graph display section 112 Χ, Υ coordinate range (Xfflin, Xisax) (Yaiin, Ymax); and the intersection point calculation register 127, when the above intersection point calculation processing is implemented, it is used to store the coordinate value converted into the orthogonal coordinate system as needed The coordinate value (XI, Y1) corresponding to the function formula of one side and the coordinate value (Χ2, Υ2) β corresponding to the function formula of the other side. The above-mentioned VRAM 124 has a video register area, corresponding to a 1: 1 relationship Each point in the display area of the above-mentioned graph display unit 112 is used to record the graphed data corresponding to the input function formula when the above graph display processing is performed. The operation of the functional computer constructed in the above manner will be described below. Figure 9 is a flow chart, which is used to represent the chart module of the function computer of the addiction -1 7-This paper scale is applicable to the Chinese National Standard (CNS) Α4 specification (210X297 mm) ---------- < ------ Ιτ (Please read the precautions on the back before filling in this page) Printed Bag of Beigong Consumer Cooperative of the Central Bureau of Economic Affairs of the Ministry of Economic Affairs ^ 18235 37 V. Invention description (《>） Handling of the whole situation. That is, in the overall processing of the graph modal of FIG. 9, the numeric / symbol keys 113 and the "orthogonal" key 114, the "氰" key 115, and the "parameter" key 116 of the key input section 111 are selectively operated. For example, when the orthogonal coordinate function formula "Y = X + 1", the coordinate function formula "y = sin0j", and the parameter coordinate function formula "Xt = 2cosT, Yt = 2sinTj, the input function formulas are recorded in billions. The type register 125 in the RAM 123 is written to the VRAM 124, and then displayed on the graph display section 1 1 2 as shown in FIG. 15 (step S 1 1). In this case, the above-mentioned parameters Coordinate function formula `` Xt = 2cosT,
Yt = 2sinT」之輸人是經由操作「參數」-♦「2cosT， 2sinT」—「EXEj ，在顯示部112附加「Xt =」 「Yt =」 形成2段顯示。 依照這種方式，在任意之函數式被輸入和記億之狀態 ，當操作「圖表J鍵117時，圖10所詳示之圖表化演算 處理就被啓動，上述之輸入函數式被圖表化的顯示在圖 表顯示部112(步驟S12)。 另外，當操作「交點」鍵118時，圖11所詳示之交點 演算全體之處理就被啓動，用來算出經由上述之圖表化 演算處理被圖表化顯示之2個函數式之交點座標（步驟 S13)。 圖10是流程圖，用來詳細的表示依照上述之函數計算 機之圖表模態處理之步驟S12之圖表化演算處理》The input of Yt = 2sinT is through the operation of "Parameters"-"2cosT, 2sinT"-"EXEj", and "Xt =" "Yt =" is added to the display unit 112 to form a two-segment display. In this way, in the state where any function formula is entered and billions are recorded, when the "Graph J key 117 is operated, the graphing calculation process detailed in FIG. 10 is started, and the above input function formula is graphed. It is displayed on the graph display unit 112 (step S12). In addition, when the "intersection point" key 118 is operated, the processing of the entire intersection calculation algorithm detailed in FIG. 11 is started, and it is used to calculate that the graph calculation calculation processing is performed through the above The coordinates of the intersection of the two displayed function formulas (step S13). FIG. 10 is a flowchart for showing in detail the graphized calculation process in step S12 of the graph modal process of the function computer described above.
當操作上述之「圖表」鍵117時，在步驟All,從RAM _ 1 8 _ 本紙張尺度適用中國國家標準（CNS ) A4規格（210X297公釐） vmt em I I m fm m if i (請先閱讀背面之注意事項再填寫本貢) 訂 經濟部中央標準局員工消費合作社印聚 A7 B7 五、發明説明（7 ) 123之式暫存器125讀出函數式，其次在步驟A12判別該 函數式之座標条統，然後前進到對應該座標条統之步驟 。例如，當讀出函數式「Y=X+1」時，就判別它為正交 座標函數式，所以前進到步驟Α13。在步驟Α13,依照被 讀出之正交座標函數式「Υ=Χ+1」和被預先記億在範圍 暫存器126之顯示部112上之Χ,Υ座標範圍，計算出對應 到每一偁顯示點之X座標值之Υ座標值，將各艏U，Y) 座標值所形成之圖表化資料寫入到VRAM 124，和顯示在 圖表顯示部1 1 2 ^ S外一方面，依照上述「圖表」鍵117之操作，當從 RAM 123之式暫存器125讀出極座標函數「y=sin0」 時，以X軸作為0度使角度0順序的變化時，算出離開 原點之距離y,經由座標變換求得對應到各個（y，0) 之（X，Y)座標值，依照被預先記億在範圍暫存器126之顯 示部112上之Χ,Υ座標範圍，將該圖表化資料寫入到VRAM 124，和顯示在圖表顯示部112(步驟A4)。 另外一方面，依照上述「圖表」鍵117之操作，當從 RAM 123之式暫存器125謓出參數座標函數式「Xt=2cosT ,Yt=2sinT」時，使參數T順序的變化時之（Χ,Υ)座標 值所形成之圖表化資料，依照預先記億在範圍暫存器126 之顯示部112上之Χ,Υ座標範圍，被寫入到VRAM 124和被 顯示在圖表顯示部112(步驟Α5)β 另外，在上述之圖9之步驟S1 3當進行「交點」鍵118 之操作時，圖11所詳示之交點演算之全體處理就被啓動 -1 9- 本紙張尺度適用中國國家標準（CNS ) Α4規格（210X297公釐） ----------^------1Τ (請先閱讀背面之注意事項再填寫本頁) 經濟部中央標準局®:工消費合作社印製 A7 B7 五、發明説明（J ) 。亦即，在步驟B1,判斷經由VRAM 123顯示在圖表顯示 部112之函數式之圖表是否為3傾以上，在為3個以上 之情況時，因為不能確定作為交黏演算之對象之2値圖 表，所以以下之交點演算處理不能實行， 另外，在這種情況時，在圖表顯示部112顯示有3個 以上之圖表中，指定作為交點演算之對象之2個圖表， 則可以實行以下之交點演算處理。 但是，在被顯示之圖表為1値或2値之情況時，就前 進到步驟B12，判斷是1個或2餾。當判斷被顯示在圖 表顯示部112之函數式為1値和該被顯示之圖表為正交 座標函數式「Y=X+1」之圖表之情況時（步驟B13),就 在步驟Β14計算對應到Υ座標值"0"之X座標值，亦即， 計算對X軸之交點座標「-1」，經由使該交點座標（-1,0) 在圖表上閃爍，藉以進行指示顯示，和在步驟Β18將該 Χ,Υ座標值「X=-l，Υ=〇」顯示在圖表顯示部112之下 部〇 另外一方面，在步驟Β12,當判斷被顯示在圖表顯示 部112之函數式之圖表為2傾時，就在步驟Β15判斷該2 個圖表式是否為相同座標条統之函數式，在判斷為相同 之情況時，就對該等函數式順序的變化共同之變數值， 經由代入演算，求其解互為一致之點作為交點座標，該 交點座標被顯示在圖表上和其Χ，Υ座標值被顯示在圖表 顯示部112之下部（步驟Β16, Β18)。 亦即，被顯示在圔表顯示部112之2傾圖表之函數式 -2 0 - 本紙張尺度適用中國國家標準（CNS ) A4規格（210X297公嫠）· —^i- m· 1^1^1 ί 1 1J1 ml --eJ (請先閱讀背面之注意事項再填寫本頁) 318335 A7 B7 五、發明説明（^ ) 均為正交座標函數式「Yl=fl(Xl)」 「Y2=f2(X2)」之 情況時，使各値函數式之X座標值XI,X2顒序的進行同 值變化，求其Y座標值ΥΙ,ΥΣο更新對應之交點演算用 暫存器127的被收納，和將各傾Υ座標值Υ1,Υ2 —致之點 當作交點座標的被顯示，和將其Χ,Υ座標值顯示在圖表 顯示部1 1 2之下部。 另外，在被顯示於圖表顯示部112之2個圖表之函數 式均為極座標函數式「y l=gl(0 1)」「7 2=g2(0 2)」 之情況時，使各個函數式之角度0 1，0 2順序的進行同 值變化，求其距離yl，72,各個對應之X，Y座標值更新 交黏演算用暫存器127的被收纳，和將各傾Χ，Υ座標值之 一致之點（Χ1=Χ2)(Υ1=Υ2)當作交點座標的顯示，和將 其Χ，Υ座標值顯示在圖表顯示部112之下部。 另外，在圖表顯示部112所顯示之2個圖表之函數式 均為參數座標函數式「Xl=fl(Tl)」，「Yl=fl(Tl)」 「X2=f2(T2)」，「Y2=f2(T2)j之情況時，使第1函 數式之參數T1順序的變化，將其XI座標代入第2函數式 之X2座標，根據這時所獲得之第2函數式之參數T2求Y2 座標，更新對應之交點演算用暫存器127的被收納，和 將各個Χ,Υ座標值之一致之點（Xl = X2)(Y1= Y2)當作交 點座標的顯示，和將其Χ，Υ座標值顯示在圖表顯示部112 之下部。 另外一方面，當被顯示在圖表顯示部112之函數式之 圖表被判斷為2锢，而且該2値圖表式為不同之座標条 -2 1 - 本紙張尺度適用中國國家橾準（CNS ) A4規格（210X297公釐） 1^- am m n^,, 1 In· In tn--6J (請先閱讀背面之注意事項再填寫本頁) 經濟部中央橾準局員工消費合作社印装 經濟部中央標準局員工消費合作社印裝 A7 B7_ 五、發明説明（>。） 統之函數式之情況時，就従步驟B15前進到B17,將極座 標函數式之極座標值和參數座標函數式之參數座標值均 變換成正交座標糸統之座標值，變化各值函數式之變數 值，求Y座標值互相一致之點作為交黏座標，將該交點 座標顯示在圖表上，和在步驟B1 8將該Χ,Υ座標值顯示在 画表顯示部112之下部。 在上述之步驟Β17,如圖16所示，當被顯示在圖表顯 示部112之2値圖表之函數式為極座標函數式「y=g(0>」 和正交座標函數式「Y=f(X)j之情況時，圖12所示之 棰座標条統圖表/正交座標糸统圖表間之交點演算處理 就被啓動。 亦即，首先以最小值0 Bin代入極座標凾數式 「y=g(0)」之角度Θ，計算距離y,利用座標變換求 這時之極座標（7， 0min)所對應之正交座標（ΧΙ,ΥΙ), 將其收纳在交點演算用暫存器127(步驟Cl, C2, C3)e 其次，將這時之極座標（y,0min)所對應之座標點（ XI,Y1)顯示在該極座標圖表上，和亦將該X，Y座標值顯 示在圖表顯示部112之下部（步驟C4)。 然後，將變換成正交座標之座標XI代入正交座標函數 式「Y=f(X)」，計算對應之座標Υ2,將其收納在交點 演算用暫存器127，這時判斷將上述之極座標（y, 0 Bin) 變換成正交座標所獲得之座標Y1和利用上述之正交座標 函數式「Y=f(X)j所獲得之座標Y2之一致/不一致（步 驟 C5 , C6 )。 -2 2 - 本紙張尺度適用中國國家標準（CNS ) A4規格（210X297公釐） — .— — II - — It' Ά — - - I I - (請先閱讀背面之注意事項再填寫本頁) A7 B7 五、發明説明（—） (請先閱讀背面之注意事項再填寫本頁) 在該步驟C6，當判斷根據上述極座標變數0由各個函 數式所獲得之座標Yl, Y2為不一致，在上述之C4所顯示 之座檫點（XI, Y1)在各傾圖表上没有交點之情況時，上 述之極座標變數0就（ + α),被更新成為01(步驟C6 — C7)。 這時，在判斷上述被更新之極座標變數Θ (=0 1)未 超過其最大值0 nax之情況時，就將該極座標變數01代 入極座標函數式「y=g(0)j計算其距離7 1,經由座 標變換求得對應到這時之極座標（y 1,0 1)之正交座標 (XI, Y1),將其收納在交點演算用暫存器127 (步驟C8-» C 2 , C 3 ) 〇 亦即，重複的實行上述之步驟C2〜C8之處理，極座標 變數0順序的被（ + 〇r),被0 2—0 3— ...的更新，對應 到各個時間之極座標2,0 2)4 (7 3, 0 3)-» ...之被 座標變換之座標點（XI,Y1)順序的以點P和Χ,γ座標值被 顯示，和判斷該座標Υ1和根據座標XI由上述之正交座標 函數式「Y=f(x)」所獲得之座標Υ2之一致/不一致。 經濟部中央揉準局負工消費合作社印製 如此一來，上述之極座標變數0就被順序的更新，如 圖16之箭頭K所示，以該圖表上之指標P之被移動更新 之狀態，在步驟C6,上述之極座標變數0，例如被更新 0 ίο時，就將極座標（y ιο,0 ίο)變換成座標點（XI, Yi) ，判斷與根據該X座標XI利用上述之正交座標函數式 「Y=f(X)」所獲得之座標Y2—致，以這時之座標點（XI Y1)作為交點P,顯示在極座標圖表和正交座標圖表之交 -2 3 -本紙張尺度適用中國國家梯準（CNS > A4規格（210X297公釐） 經濟部中央標準局貝工消費合作社印袋 A7 B7 五、發明説明（) 點上，和將該Χ，Υ座標值顯示在圖表顯示部（112之下部 (步驟 C6— C9，Β18)。 另外一方面，順序的更新上述之極座標變數0,以該 圖表上之點Ρ被移動更新之狀態，在步驟C8,當判斷被 更新的極座標變數0 η超過其最大值0 max時，被顯示在 圖表顯示部112之極座標_表和正交座標圖表之間未存 在有交點，例如將無解之信息"没有交點”顯示在顯示部 1 2之下部（步驟C 8C 1 0 , B 8 )。 另外一方面，被顯示在圖表顯示部11 2之2値圖表之 函數式在分別為參數座檫函數式「X=P1(T), Y=P2(T) 」和正交座標函數式「Y=f(X)」之情況時，就在步驟 B17啓動圖13之參數座標糸統圖表/正交座標糸統圖表 間之交點演算處理。 亦即，在該參數座標条統圖表/正交座標圖表間之交 點演算處理中，於順序的變化參數T之情況時，利用該 函數式「X=P1(T), Y=P2(T)」所獲得之Χ,Υ座標作為 座標點（XI,Υ1),與上述之極座標条統圖表/正交座標 条統圖表間之交點演算處理同樣的，判斷該座標Υ1和根 據违標XI由上述之正交座標函數式「Y=f(X)」所獲得 之座標Y2之一致/不一致，如此一來，上述之參數T就 被順序的更新，在該圖表上之指標P被移動更新之狀態 ,例如被更新成T10時，就判斷座標點（XI, Y1)與根據 X座標 ΚΛΧ1利用上述之正交座標函數式，「Y=f(X)」所獲得 之座標Y2—致，以這時之座標點（XI，Y1)作為交點P，顯 -2 4 - 本紙張尺度適用中國國家標準（CNS > A4規格（210X297公釐） (請先閱讀背面之注意事項再填寫本頁) 、vs 經濟部中央揉準局員工消費合作社印衷 A7 B7 五、發明説明（θ ) 示在參數座標圖表和正交座標圖表之交點上（步驟D1, D2),和將該Χ,Υ座檫值顯示在圖表顯示部121之下部（步 驟 Β18) 〇 另外，一方面，當被顯示在圖表顯示部12之2値圖表 之函數式為極座標函數式「y=g(0)和參數座標函數式 「X=P1(T), Υ= Ρ2 (Τ)」之情況時，就在步驟Β17啓動 圖14之極座檫条統圖表/參數座榡条統圖表間之交點演 算處理。 亦即，在該極座標糸統圖表/參數座標条統圖表間之 交點演算處理中，當使極座標變數0順序的變化時，利 用其函數式（y = g(0 )」所獲得之極座標（y ,0 )被變 換成正交座標之座標點（XI，Y1)，和將其座標XI代入到 上述之參數座標函數式「X=P1(T)」，然後將計算所得 之參數Τ代入上述之參數座標函數式「Υ=Ρ2(Τ)」，經 由計算所得之Υ座標作為Υ2,用以判斷與上述之極座檫 對應之正交座標Υ1之一致/不一致，如此一來，順序的 更新上述之極座標變數0，以該圖表上之指標Ρ被移動 更新之狀態，例如，當判斷被更新成0 10時座標點（XI, Υ1),和代入該X座標XI利用上述之參數座標函數式 「Χ=Ρ1(Τ)」，Υ=Ρ2(Τ)」所獲得之座標Υ2 —致時， 就以這時之座標點（XI，Υ1)作為交點Ρ，顯示在極座標圖 表和參數座標圖表之交點上（步驟Ε1,Ε2),和將該Χ，Υ座 標值顯示在圖表顯示部112之下部（步驟Β18)。 因此，依照上述構造之函數計算機時，因為選擰性的 -2 5 - 本紙張尺度適用中國國家標準（CNS ) Α4规格（210X297公釐） (請先閱讀背面之注意事項再填寫本頁). -8 A7 B7 五、發明説明（>) 操作按鍵輸入部111之數值/記號鍵113和「正交」鍵114 ，「極j鍵115, 「參數」鍵116,例如將極座樣函數式 (y =g(0 )」和正交座標函數式「Y=f(x)」記億在ram 123内之式暫存器125,當操作「圖表」鍵117使各锢函 數式圖表化的顯示在圖表顯示部112時，經由操作「交 點」鍵118,用以順序的更新極座標變數0，將計算所 得之極座標（y，0)變換成正交座標值（XI，Y1),將該座 標XI代入上述之正交座標函數式「Y=f(X)」，將計算 所得之座標Y當作Y2,比較判斷上逑之Y1和Y2之一致 用以求得各個圖表間之交點座標，顯示該交點P和其座 標（XI,Y1),所以即使是不同之座標条統之函數式之圖 表交點亦可以很容易的求得。 在這種情況時，上述之極座標變數0被順序的更新， 在該極座標（7，0)被更新的狀態，因為用以表示該圖 表上之座標點（XI，Y1)之指標P亦被移動更新，所以被 顯示在圖表顯示部112之各値函數式之圖表間之交點之 求得過程可以用視覺來判斷。 (請先閱讀背面之注意事項再填寫本頁) --口 經濟部中央標準局員工消費合作社印製 -26- 本紙張尺度適用中國國家標準（CNS ) A4規格（210X297公釐）When operating the "Chart" key 117 above, in step All, from RAM _ 1 8 _ the paper size applies to the Chinese National Standard (CNS) A4 specification (210X297 mm) vmt em II m fm m if i (please read first (Notes on the back and then fill in this tribute) Order A7 B7 printed by the Ministry of Economy Central Standards Bureau Employee Consumer Cooperative V. Invention Description (7) 123 The type of register 125 reads the functional formula, followed by step A12 to determine the functional formula Coordinate system, and then proceed to the step corresponding to the coordinate system. For example, when the functional expression "Y = X + 1" is read, it is judged that it is an orthogonal coordinate functional expression, so proceed to step A13. In step A13, according to the read orthogonal coordinate function formula "Υ = Χ + 1" and the X, Y coordinate range pre-recorded on the display portion 112 of the range register 126, the corresponding The y coordinate value of the X coordinate value of the display point is written to the VRAM 124, and the graph data formed by the coordinate values of each bow U, Y) is displayed on the graph display section 1 1 2 ^ S. On the one hand, according to the above When the "Graph" key 117 is operated, when the polar coordinate function "y = sin0" is read from the RAM 125, and the X axis is used as 0 degrees to change the angle 0 sequence, the distance y from the origin is calculated. Calculate the (X, Y) coordinate value corresponding to each (y, 0) through the coordinate transformation, according to the X, Y coordinate range that is pre-recorded in the display unit 112 of the range register 126, and graph the graph The data is written to the VRAM 124 and displayed on the graph display section 112 (step A4). On the other hand, according to the operation of the above-mentioned "chart" key 117, when the parameter coordinate function formula "Xt = 2cosT, Yt = 2sinT" is output from the register 125 of the RAM 123, when the order of the parameter T changes ( (X, Υ) The graph data formed by the coordinate values are written to the VRAM 124 and displayed on the graph display section 112 according to the X, Υ coordinate range recorded on the display section 112 of the range register 126 according to the pre-recorded billion. Step Α5) β In addition, when the “intersection point” key 118 is operated in step S13 of FIG. 9 above, the entire processing of the intersection point calculation detailed in FIG. 11 is activated. Standard (CNS) Α4 specification (210X297mm) ---------- ^ ------ 1Τ (Please read the precautions on the back before filling this page) Central Bureau of Standards®: Ministry of Economy Printed by consumer cooperatives A7 B7 V. Description of invention (J). That is, in step B1, it is determined whether the graph of the functional formula displayed on the graph display section 112 via the VRAM 123 is more than 3 tilts. In the case of more than 3 graphs, it is impossible to determine the 2-value graph that is the target of the cross stick calculation Therefore, the following intersection calculation process cannot be executed. In addition, in this case, if there are more than three charts displayed on the graph display section 112 and two charts designated as the target of the intersection calculation are executed, the following intersection calculation can be performed. deal with. However, when the displayed graph is 1 value or 2 value, the process proceeds to step B12, and it is judged that it is one or two fractions. When it is judged that the function formula displayed on the graph display unit 112 is 1 value and the displayed graph is a graph with orthogonal coordinate function formula "Y = X + 1" (step B13), the correspondence is calculated in step B14 To the X coordinate value of the Υ coordinate value " 0 ", that is, to calculate the intersection point coordinate "-1" on the X axis, by making the intersection point coordinate (-1,0) flash on the graph, for indication display, and In step B18, the X, Y coordinate values "X = -1, Y = 〇" are displayed below the graph display section 112. On the other hand, in step B12, when it is judged that the function expression displayed on the graph display section 112 is When the graph is 2 degrees, it is judged in step B15 whether the two graph formulas are the functional formulas of the same coordinate system. When the judgment is the same, the common variable value for the change of the order of these functional formulas is substituted by Calculate and find the points whose solutions are consistent with each other as the intersection point coordinates. The intersection point coordinates are displayed on the graph and its X, Y coordinate values are displayed below the graph display section 112 (steps B16, B18). That is, the functional formula of the 2-tilt graph displayed on the watch display section 112-2 0-This paper scale is applicable to the Chinese National Standard (CNS) A4 specification (210X297 public daughter) · — ^ i-m · 1 ^ 1 ^ 1 ί 1 1J1 ml --eJ (please read the precautions on the back before filling in this page) 318335 A7 B7 5. Description of the invention (^) are orthogonal coordinate function formula "Yl = fl (Xl)" "Y2 = f2 In the case of (X2) ", the X coordinate values XI and X2 of the various functional formulas are changed by the same value, and the Y coordinate values ΥΙ, ΥΣο are updated to correspond to the intersection point calculation register 127 which is stored, And the point where the inclination coordinate values Υ1, Υ2-which are the same as the intersection coordinate is displayed, and the XY coordinate values are displayed below the graph display section 1 1 2. In addition, when the function formulas of the two graphs displayed on the graph display unit 112 are both polar coordinate function formulas "yl = gl (0 1)" and "7 2 = g2 (0 2)", the The angles 0 1, 0 2 are sequentially changed with the same value, the distance yl, 72, the corresponding X, Y coordinate values are updated, and the temporary register 127 for the sticky calculation is stored, and the X, Y coordinate values are tilted. The point of agreement (X1 = Χ2) (Υ1 = Υ2) is taken as the display of the coordinates of the intersection point, and its X, Y coordinate values are displayed below the graph display section 112. In addition, the function formulas of the two graphs displayed on the graph display unit 112 are both parameter coordinate function formulas "Xl = fl (Tl)", "Yl = fl (Tl)", "X2 = f2 (T2)", "Y2 = f2 (T2) j, change the order of parameter T1 of the first functional formula, substitute its XI coordinate into the X2 coordinate of the second functional formula, and find the Y2 coordinate according to the parameter T2 of the second functional formula obtained at this time , Update the corresponding register of the intersection point calculation temporary register 127, and display the point (Xl = X2) (Y1 = Y2) where the coordinates of each X, Y coordinate value are the same, and use the X, Y The coordinate value is displayed below the graph display section 112. On the other hand, when the graph of the functional formula displayed on the graph display section 112 is judged to be 2 °, and the 2-value graph formula is a different coordinate bar-2 1-this The paper scale is applicable to the Chinese National Standard (CNS) A4 (210X297mm) 1 ^-am mn ^ ,, 1 In · In tn--6J (Please read the precautions on the back before filling out this page) Central Ministry of Economic Affairs Quasi-bureau employee consumer cooperatives printed and printed by the Ministry of Economic Affairs Central Standards Bureau employee consumer cooperatives printed and printed A7 B7_ V. Invention description (>.) In the case of the formula, proceed to step B15 to B17, transform the polar coordinate value of the polar coordinate function formula and the parameter coordinate value of the parameter coordinate function formula into the coordinate value of the orthogonal coordinate system, and change the variable value of each value function formula, Find the point where the Y coordinate values coincide with each other as the sticky coordinate, display the intersection point coordinate on the graph, and display the X, Y coordinate value in the lower part of the drawing table display section 112 in step B18. In the above step B17, As shown in FIG. 16, when the function formula of the 2-value graph displayed on the graph display unit 112 is the case of the polar coordinate function formula “y = g (0>”) and the orthogonal coordinate function formula “Y = f (X) j , The intersection point calculation process between the coordinate coordinate system chart / orthogonal coordinate system chart shown in Fig. 12 is started. That is, firstly, the minimum value 0 Bin is substituted into the polar coordinate formula "y = g (0)" Angle Θ, calculate the distance y, use the coordinate transformation to find the orthogonal coordinates (ΧΙ, ΥΙ) corresponding to the polar coordinates (7, 0min) at this time, and store it in the temporary memory 127 for the intersection calculation (steps Cl, C2, C3) e Second, display the coordinate points (XI, Y1) corresponding to the polar coordinates (y, 0min) at this time On the coordinate graph, the X and Y coordinate values are also displayed below the graph display section 112 (step C4). Then, the coordinate XI transformed into an orthogonal coordinate is substituted into the orthogonal coordinate function formula "Y = f (X) ”, Calculate the corresponding coordinate Υ2, and store it in the register 127 for intersection calculation. At this time, judge the coordinate Y1 obtained by transforming the above polar coordinate (y, 0 Bin) into an orthogonal coordinate and use the above orthogonal coordinate function The consistency / inconsistency of the coordinate Y2 obtained by the formula "Y = f (X) j (steps C5, C6). -2 2-This paper scale is applicable to the Chinese National Standard (CNS) A4 specification (210X297 mm) — .— — II-— It 'Ά —--II-(Please read the precautions on the back before filling this page) A7 B7 V. Description of the invention (—) (Please read the precautions on the back before filling in this page) In step C6, when it is judged that the coordinates Yl, Y2 obtained by each function according to the above polar coordinate variable 0 are inconsistent, in the above When the frame point (XI, Y1) shown in C4 has no intersection on each tilt chart, the polar coordinate variable 0 above (+ α) is updated to 01 (steps C6-C7). At this time, when it is judged that the updated polar coordinate variable Θ (= 0 1) does not exceed its maximum value 0 nax, the polar coordinate variable 01 is substituted into the polar coordinate function formula "y = g (0) j to calculate the distance 7 1 , Find the orthogonal coordinates (XI, Y1) corresponding to the polar coordinates (y 1,0 1) at this time through the coordinate transformation, and store them in the register 127 for the intersection calculation (step C8- »C 2, C 3) 〇 In other words, the above steps C2 to C8 are repeatedly executed, and the polar coordinate variable 0 is sequentially updated (+ 〇r), updated by 0 2—0 3 —..., corresponding to the polar coordinates 2,0 at each time 2) 4 (7 3, 0 3)-»... The coordinate points (XI, Y1) of the coordinate transformation are displayed in order of points P and Χ, γ coordinate values, and the coordinate Υ1 and the coordinate XI are judged The agreement / disagreement of the coordinate Υ2 obtained by the above orthogonal coordinate function formula "Y = f (x)". This is printed by the Consumer Labor Cooperative of the Central Bureau of Economics of the Ministry of Economic Affairs. As a result, the above polar coordinate variable 0 is updated sequentially, as shown by arrow K in FIG. 16, with the status of the indicator P on the chart being moved and updated, In step C6, when the above polar coordinate variable 0 is updated, for example, 0 ίο, the polar coordinate (y ιο, 0 ίο) is transformed into a coordinate point (XI, Yi), and the above orthogonal coordinate is determined and used according to the X coordinate XI The coordinate Y2 obtained by the functional formula "Y = f (X)" is consistent, and the coordinate point (XI Y1) at this time is used as the intersection point P, which is displayed at the intersection of the polar coordinate graph and the orthogonal coordinate graph-2 3-This paper size is applicable China National Standard (CNS > A4 size (210X297mm) Printed bag A7 B7 of the Beigong Consumer Cooperative of the Central Bureau of Standards of the Ministry of Economic Affairs V. Invention description () point, and display the X, Y coordinate values on the chart display department (The lower part of 112 (steps C6-C9, Β18). On the other hand, the above-mentioned polar coordinate variable 0 is updated sequentially, and the point P on the graph is moved and updated. In step C8, when the updated polar coordinate variable is judged When 0 η exceeds its maximum value 0 max, it is displayed There is no intersection between the polar coordinate table _table of the graph display section 112 and the orthogonal coordinate graph, for example, the information with no solution " no intersection point " is displayed below the display section 12 (steps C 8C 1 0, B 8) On the other hand, the functional formulas of the 2-value graph displayed on the graph display unit 11 2 are the parameter coordinate function formula "X = P1 (T), Y = P2 (T)" and the orthogonal coordinate function formula " In the case of "Y = f (X)", the calculation process of the intersection between the parameter coordinate system chart / orthogonal coordinate system chart of FIG. 13 is started in step B17. That is, the parameter coordinate system chart / orthogonal In the calculation of the intersection between coordinate graphs, when the order changes the parameter T, use the X, P, and Y coordinates obtained by the function formula "X = P1 (T), Y = P2 (T)" as the coordinate point (XI , Υ1), same as the calculation of the intersection point between the polar coordinate system graph / orthogonal coordinate system graph above, determine the coordinate Υ1 and the above-mentioned orthogonal coordinate function formula "Y = f (X) according to the violation XI The obtained coordinate Y2 is consistent / inconsistent. As a result, the above parameter T is updated sequentially. When the coordinate P is moved and updated, for example, when it is updated to T10, the coordinate point (XI, Y1) and the coordinate obtained by using the above orthogonal coordinate function formula "Y = f (X)" according to the X coordinate KΛΧ1 Y2—consistently, take the coordinate point (XI, Y1) at this time as the intersection point P and display -2 4-This paper scale is applicable to the Chinese National Standard (CNS & A4 specification (210X297mm) (please read the precautions on the back first (Fill in this page), vs. A7 B7, Employee's Consumer Cooperative of the Central Bureau of Economic Cooperation of the Ministry of Economic Affairs 5. The description of the invention (θ) is shown at the intersection of the parameter coordinate graph and the orthogonal coordinate graph (steps D1, D2), and the , Υ seat sassafras value is displayed in the lower part of the graph display unit 121 (step B18). In addition, on the one hand, when the 2-value graph displayed on the graph display unit 12 is a polar coordinate function formula "y = g (0) and In the case of the parameter coordinate function formula "X = P1 (T), Υ = Ρ2 (Τ)", at step B17, the intersection point calculation process between the polar constellation graph chart / parameter constellation graph chart of FIG. 14 is started. That is, in the calculation process of the intersection between the polar coordinate system chart / parameter coordinate system chart, when the order of the polar coordinate variable 0 is changed, the polar coordinate (y = g (0) ”is used to obtain the polar coordinate (y , 0) is transformed into coordinate points (XI, Y1) of orthogonal coordinates, and its coordinate XI is substituted into the above parameter coordinate function formula "X = P1 (T)", and then the calculated parameter T is substituted into the above The parameter coordinate function formula "Υ = Ρ2 (Τ)", the calculated Υcoordinate is used as Υ2, which is used to determine the coincidence / inconsistency of the orthogonal coordinate Υ1 corresponding to the above polar sassafras. The polar coordinate variable is 0, and the indicator P on the chart is moved and updated, for example, when the judgment is updated to 0 10, the coordinate point (XI, Υ1), and the X coordinate XI is substituted using the above parameter coordinate function formula " Χ = Ρ1 (Τ) ", Υ = Ρ2 (Τ)", the coordinate obtained by Υ2 is the same, then the coordinate point (XI, Υ1) at this time is used as the intersection point P, which is displayed on the intersection of the polar coordinate graph and the parameter coordinate graph (Steps Ε1, Ε2), and display the Χ, Υ coordinate values in the chart display The lower part of the display part 112 (step B18). Therefore, when the function computer is constructed according to the above structure, because of the selectivity of -2 5-the paper size is applicable to the Chinese National Standard (CNS) Α4 specification (210X297 mm) (please read first Note on the back and fill in this page). -8 A7 B7 V. Description of the invention (>) The value / marker key 113 and the "orthogonal" key 114 and the "polar j key 115," parameter "of the operation key input section 111 Key 116, for example, a polar register-like functional formula (y = g (0) '' and an orthogonal coordinate functional formula `` Y = f (x) '' are recorded in the ram 123 register 125, when operating the `` chart '' The key 117 causes the graphs of each function to be graphically displayed on the graph display section 112. By operating the "intersection point" key 118, the polar coordinate variable 0 is sequentially updated, and the calculated polar coordinate (y, 0) is transformed into an orthogonal coordinate. Value (XI, Y1), substitute this coordinate XI into the above orthogonal coordinate function formula "Y = f (X)", take the calculated coordinate Y as Y2, compare and judge the consistency between Y1 and Y2 Find the coordinates of the intersection point between the various graphs and display the intersection point P and its coordinates (XI, Y1), so even if it is a different coordinate system The intersection point of the graph of the formula can also be easily obtained. In this case, the above polar coordinate variable 0 is updated sequentially, and the state of the polar coordinate (7, 0) is updated because it is used to represent the coordinates on the graph The index P of points (XI, Y1) is also updated by movement, so the process of finding the intersection point between the graphs of the various functional formulas displayed on the graph display section 112 can be judged visually. (Please read the notes on the back first (Fill in this page again) --Printed by the Staff Consumer Cooperative of the Central Bureau of Standards of the Ministry of Economic Affairs-26- This paper scale applies the Chinese National Standard (CNS) A4 specification (210X297mm)