Home

5370-ND005, Bulletin 5370 CVIM MATH

1. D ALLEN BRADLEY Db QUALITY d A ROCKWELL INTERNATIONAL COMPANY User s Manual 40062 194 01 A Catalog No 5370 ND005 Series A Important User Information Solid state equipment has operational characteristics differing from those of electromechanical equipment Application Considerations for Solid State Controls Publication SGI 1 1 describes some important differences between solid state equipment and hard wired electromechanical devices Because of this difference and also because of the wide variety of uses for solid state equipment all persons responsible for applying this equipment must satisfy themselves that each intended application of this equipment is acceptable In no event will Allen Bradley Company be responsible or liable for indirect or consequential damages resulting from the use or application of this equipment The examples and diagrams in this manual are included solely for illustrative purposes Because of the many variables and requirements associated with any particular installation Allen Bradley Company cannot assume responsibility or liability for actual use based on the examples and diagrams No patent liability is assumed by Allen Bradley Company with respect to use of information circuits equipment or software described in this manual Reproduction of the contents of this manual in whole or in part without
2. Archival Calculator Snapshot Analysis Registration Camera A Pick each digit of the upper As you pick each digit it appears in the calculator display fault limit value Thus for a value of 7 5 pick 7 decimal and 5 Pick the Enter key When you pick the Enter key the new value will appear in the upper box under FAULT RANGE Pick the middle box under This is the fault range lower Low limit FAULT RANGE Pick each digit ofthelower As you pick each digit it appears in the calculator display fault limit value CVIM MATH PAK Installation and Configuration Pp 7 Assigning Range Limits and Outputs continued Your Action Comments Pick the Enter key When you pick the Enter key the new value will appear in the middle box under FAULT RANGE Pick the upper box under This is the warning range upper High limit WARNING RANGE Pick each digit ofthe upper As you pick each digit it will appear in the calculator warning limitvalue display Pick the Enter key When you pick the Enter key the new value will appear in the upper box under WARNING RANGE Pick the middle box under This is the warning range lower Low limit WARNING RANGE Pick each digit of the lower As you pick each digit it will appear in the calculator warning limitvalue display Pick the Enter key When you pick the Enter key the new value will appear in the middle box under W
3. Keyboard Select Keys t and Using Operator and Operand Keys ABS KEY esi e a AAA eae oe MED Key nana Aha acters oh VAR ROY AA tints Slo ducas band Page uuo HPN Table of Contents Title Page Parenthesis Keys 55 Modulo Operator Key 96 56 Unary Operator Key 56 Comma Key 56 Logic Operator Keys 56 Setting Formula Name 59 Enabling Formula 60 Assigning Range Limits and Outputs 62 Results Data Size and Rounding Constraints 68 MATH PAK Application Examples 69 Figure Title Page List of Figures 1 1 CVIM System Without MATH PAK Formulas 2 1 2 CVIM System With MATH PAK Formulas 3 Title Page Appendix A CVIM Communications With MATH PAK Objectives CVIM With MATH PAK Communications Location of Formula Results Data Formats For Formula Results Obtaining Formula Results and Statistics Statistics Block Configuration Blocks Fail Warning Ranges Formulas 9 16 25 32 41 56 in Toolset 1 Fail Warning Ranges Formulas 1 8 17 24 33 4010 Toolset T en ena A av
4. Gage 32 Value A 6 Appendix A WIM Communications With MATH PAK Data Formats For The data type for each formula is determined by the Formula Results equation Obtainin Results an e Ifthe formula contains any items that are fixed point values the formula results will be a fixed point value 16 16 Ifthe formula only contains integer values the formula results will be an integer value 32 0 Form ula Obtain formula results and statistics the same way you Statistics would toolset results Refer to Publication 5370 ND002 and Addendum 40062 191 01 A Statistics Block When using the statistics block and formulas are enabled please note that an enabled formula takes the place of the corresponding tool in the statistics block Forexample Ifyourequest statistics for Gage 1 and formula 9 is enabled the statistics for the formula will appear in the statistics block Appendix A cvim Communications With MATH PAK Configuration Blocks When the corresponding formula is enabled the configuration block fail and warning ranges are applied to the formula results Table A 4 lists Fail Warning Range Toolset 1 data locations for Formulas 9 16 25 32 and 41 56 Configuration blocks 10 41 Table A 5 lists Fail Warning Range Toolset 1 data locations for Formulas 1 8 17 24 and 33 40 Configuration blocks 42 65 Table A 6 lists Fail Warning Range Toolset 2 data locations for Formulas 9
5. The largest positive integer that the system can accept is 32 767 The system blocks any attempt to enter a larger positive integer The largest negative integer that the system can accept is 32 767 The system blocks any attempt to enter a larger negative integer The largest positive fixed point number that the system can accept is 32 767 999 The system blocks any attempt to enter a larger positive fixed point number The largest negative fixed point number that the system can accept is 32 767 999 The system blocks any attempt to enter a larger negative fixed point number CVIM MATH PAK Installation and Configuration Definitions Formula Entry Operand Keys Key Functions continued These keys are used to enter operands variable data intoa formula When entered into a formula these operands can supply inspection results data from specific analysis tools results data from the operation of specific formulas and statistical data from the operation of specific formulas The following table lists these operands and briefly describes their functions Name TS Tool set Used with the following operands G W RL etc to obtain change results data from the alternate non active tool set Provides inspection results data from one of the 32 gages Provides inspection results data from one of the 24 windows RL Reterencalina Provides inspection results data from one of the three reference lines
6. 54 CVIM MATH PAK Installation and Configuration Using Operator and Operand Keys continued Your Action Pick these two keys 5 comma Enter the remaining operands with a comma between each 8 10 Pick the close parenthesis key mper Pick the Ret return key Look at the message box in the upper left corner of the screen VAR Key continued Comments This enters the first value in the list along with a comma The display should now appear as follows Formula VAR 5 A The display should now appear as follows Formula VAR 5 8 10A This completes the VAR formula entry Formula VAR 5 8 10 a This causes the system to display the result In this case the result is 4 221 which is the variance value for this list Formula result 4 221 VAR 5 8 10 A Because of rounding errors that sometimes occur with fixed point calculations the result is 4 221 instead of 4 222 as shown earlier Normally this will not affect the usefulness of these calculations The Formula saved message indicates that the CVIM system has saved the formula in its memory This completes the procedure for entering and saving the VAR formula CVIM MATH PAK Installation and Configuration p 5 a 009 2 gg Using Operatorand Arithmetic Operator Keys Operand Keys continued The arithmetic operators are used between two values to perform add
7. Le 9 Window 1 4 CVIM MATH PAK Installation and Configuration The following table relates each formula number to the number of the gage or window whose results it replaces Tool Gage 19 Gage 20 Gage 21 Gage 22 Gage 23 Gage 24 Gage 25 Gage 26 Gage 27 Gage 28 Gage 29 Gage 30 Gage 31 Gage 32 Tool 45 Window 10 Window 12 Window 17 Window 18 47 Window 20 Window 21 Window 22 Window 23 Window 24 50 51 52 53 54 55 56 Window 14 Window 15 Window 16 Comments When you pick the Formula XX menu box XX is the formula number a warning message appears in the message box as follows WARNING Enabling this formula will prevent Window 1 from being range checked or assigned to outputs Reselect to confirm Note Window 1 in the box The actual tool and number depend on which formula number is currently selected When you pick the Formula XX menu box again the warning message disappears and Enabled replaces Disabled in the menu box NOTE If you decide to disable a currently enabled formula another warning message will appear when you pick the Formula XX menu box as follows WARNING Disabling this formula will allow Window 1 to be range checked The range for this window must be enabled Reselect to confirm To disable the formula you must pick the Formula XX menu box a second time 62 CVIM MATH PAK Installation and Configura
8. RW Reference Provides inspection results data from one of the three window reference windows Light probe Provides inspection results data from the light probe Provides results data from the operation of one of the 56 Results possible formulas or inspection tools oe Provides statistical data from the operation of one of the 56 Statistics possible tools and formulas Digits Provide integer or fixed point constants in a formula The operands are further defined according to the specific type of results data to be supplied to a formula As an example you can specify that a particular gage operand one of 32 supply its basic measurement value number of pixels number i pon and so on or its pass fail result for the warning or fault range 1 or 0 or a second coordinate for X and Y position functions only You can specify results data in a formula by appending a decimal point and a number to the operand number s For example if you select the gage 1 operand GAGE1 1 returns the pass fail result for the warning range GAGE1 2 returns the pass fail result for the fault range and so on NOTE Some inspection results are always returned in fixed point format linear gaging luminance while others are always returned in integer format white pixels edges In all cases if one of the operands in a formula returns fixed pon results the formula will always return a fixed point result 20 CVIM MATH P
9. Pick the SQR key Pick these two keys 4 8 Pick the close parenthesis key O Pick the Ret return key Look at the message box in the upper left corner of the screen CVIM MATH PAK Installation and Configuration 25 SQR Key continued Comments The SQR operator is on this keyboard When you pick the SQR key the following entry appears in the upper box of the keyboard Formula SQR A The display should now appear as follows Formula SQR 48 A This completes the SQR formula entry Formula SQR 48 A This causes the system to display the result In this case the result is 6 927 which is the square root of 48 Formula result 6 927 SQR 48 a The Formula saved message indicates that the CVIM system has saved the formula in its memory This completes the procedure for entering and saving the SQR formula 5 CVIM MATH PAK Installation and Configuration 5 RR AA AA AA AASA CC a IE EF LE TE SIE EEE ID Using Operatorand SQ Key Operand Keys continued The SQ square function computes the square of a value It returns an integer if the value squared is an integer and returns a fixed point number if the value squared is a fixed point number For example if the value to be squared is 7 the SQ function returns 49 If the value to be squared is 7 000 the SQ function returns 49 000 In a MATH PAK formula the SQ operator requires one ope
10. The tangent of unknown angle 9 in a right angle triangle is the ratio between the side opposite the angle and the side adjacent to the angle Line gt Y Side opposite 0 Tangent of 0 Side Y Side X X Side adjacent to 0 Arc Tangent The angle 8 whose tangent Side Y SideX and the arc tangent is the angle 8 whose tangent is equal to a given number In the illustration above that number is the length of Y divided by the length of X Using Operator and Operand Keys continued CVIM MATH PAK Installation and Configuration 3i ATN Key continued In order to compute the tangent of 0 and from that the arc tangent 0 itself the ATN operator must be given the length of the two sides Y and X ofthe right triangle formed between a line and the X axis of the image field Thus if you can supply the length of Y and X the ATN function can compute the tangent of the unknown angle 0 and consequently the arc tangent the angle 0 itself In a MATH PAK formula the ATN operator requires the two operands AY and AX The basic formula takes this form ATN AY AX The AY operand represents the length of side Y and the AX operand represents the length of side X Values for AY and AX must be computed and made available to the ATN formula Example The objective of this example is to use the ATN operator to determine the angle 0 between line AB and the X axis in the illustration below The fi
11. close parenthesis This completes the ATN formula entry ke 9 Formula GAGE2 GAGE1 GAGE2 3 GAGE1 3 Ja Pick the Ret return key This causes the system to display a result however the number displayed is not correct since the GAGEn 3 operands cannot operate correctly except in the run mode Thus you should disregard the result number in this case Formula result 90 000 GAGE2 GAGE1 GAGE2 3 GAGE1 3 A Look at the message box The Formula saved message indicates that the CVIM in the upper left corner system has saved the ATN formula in its memory of the screen This completes the procedure for entering and saving the ATN formula Using Operator and Operand Keys continued Your Action Select the second formula entry keyboard Pick the ANG key Pick these three keys comma Enter the remaining five operands and inserta comma between each 49 36 15 20 114 CVIM MATH PAK Installation and Configuration pa AVG Key The AVG average function causes a list of operands to be added together and divided by the number of operands in the list If all operands in the list are integers the result will also be an integer rounded down If any operand in the list is a fixed point number such as 2 000 the result will also be a fixed point number rounded to three places such as 53 833 The following procedure shows you how to set up a formula usi
12. equal operator returns a logic 1 when placed between two operands whose results are equal Thus if the GAGE1 and GAGE results are both 6 in the following formula GAGE1 GAGE2 the formula will return a logic 1 result since the two gage results are equal If the two gage results were not equal the formula would return a logic 0 lt gt The not equal operator lt gt returns a logic 1 when placed between two operands whose results are not equal Thus if the GAGE1 result is 5 and the GAGE2 result is 3 in the following formula GAGE1 lt gt GAGE2 the formula will return a logic 1 result since the two gage results are not equal If the two gage results were equal the formula would return a logic 0 58 CVIM MATH PAK Installation and Configuration Using Operator and Operand Keys continued Logic Operator Keys continued gt The greater than operator gt returns a logic 1 when placed between two operands where the left operand result is greater than the right operand result Thus if the GAGE1 result is 8 and the GAGE2 result is 7 in the following formula GAGEI gt GAGE2 the formula will return a logic 1 result since 8 is greater than 7 If the GAGEI result were equal to or less than the GAGE2 result the formula would return a logic 0 lt The less than operator lt returns a logic 1 when pla
13. true otherwise return a logic 0 false Formula 1 adds the three expressions thus if all three expressions are true logic 1 the formula returns a result of 3 In this example the result is acceptable if any two expressions are true that is the formula result is at least 2 74 MATH PAK Application Examples continued CVIM MATH PAK Installation and Configuration In formula 2 the first expression makes the statement If WINI is greater than 100 then return a logic 1 otherwise return a logic 0 The second expression makes the statement If RSLT1 is greater than or equal to 2 then return a logic 1 otherwise return a logic 0 Note that RSLT1 is the result from formula 1 Formula 2 ANDs the expressions WIN1 gt 100 and RSLT1 gt 2 If all range limits are set to 1 and both expressions are true logic 1 the formula returns a result of logic 1 true and the inspection passes otherwise the formula returns a logic 0 false and the inspection fails Appendix A CVIM Communications With MATH PAK Objectives This appendix describes e CVIM Communications with MATH PAK Location and format of formula results Formula statistics Setting formula range limits How to access formula results and set configuration CVIM With MATH PAK The CVIM Communications Manual Catalog No 5370 Communications ND002 with Addendum 40062 191 01 A describe how to access results data With MATH PAK
14. 16 25 32 and 41 56 Configuration blocks 72 103 Table A 7 lists Fail Warning Range Toolset 2 data locations for Formulas 9 16 25 32 and 41 56 Configuration blocks 104 127 Appendix A CVIM Communications With MATH PAK A 8 Faill Warning Ranges Formulas 9 16 25 32 41 56 in Toolset 1 Table A 4 lists the fail and warning range data locations for Formulas 9 through 16 25 through 32 and 41 through 56 blocks 10 41 Refer to the following for the block number of each formula Table A 4 provides the word of the data in Remote I O 8 RS 232 each block Formula 9 Block 10 Formula 10 Block 11 Formula 11 Block 12 Formula 12 Block 13 Formula 13 Block 14 Formula 14 Block 15 Formula 15 Block 16 Formula 16 Block 17 Formula 25 Block 18 Formula 26 Block 19 Formula 27 Block 20 Formula 28 Block 21 Formula 29 Block 22 Formula 30 Block 23 Formula 31 Block 24 Formula 32 Block 25 Table A 4 Formula 41 Block 26 Formula 42 Block 27 Formula 43 Block 28 Formula 44 Block 29 Formula 45 Block 30 Formula 46 Block 31 Formula 47 Block 32 Formula 48 Block 33 Formula 49 Block 34 Formula 50 Block 35 Formula 51 Block 36 Formula 52 Block 37 Formula 53 Block 38 Formula 54 Block 39 Formula 55 Block 40 Formula 56 Block 41 Confiquration Blocks 10 41 Fail Warnin Warning Range Low Integer Words 17 and 18 represent a 16 bit 16 bit fixed point decimal value or 32 bit integer
15. The up arrow and down arrow are used to display the alternate formula entry keyboard The up arrow 1 appears on the first keyboard this is the one that appears right after you pick the Set Formula menu box First Formula Entry fets lt l an Keyboard Up Arrow Key When you pick the up arrow key the second keyboard appears This keyboard contains the down arrow Second Formula Entry Keyboard Down Arrow Key You may need to alternate between the two keyboards occasionally as you enter your MATH PAK formulas 28 CVIM MATH PAK Installation and Configuration Using Operator and Operand Keys Your Action Select the second formula entry keyboard Pick the ABS key This section provides detailed information for using the operator and operand keys to enter formulas Most of these keys require that you observe certain procedures and limitations in order to use them correctly Note that the limitations applying to the digit keys 0 to 9 when these keys are used to enter constant numeric values were described earlier under the Digit Keys 0 to 9 heading The following operator key procedures are presented in the order of their appearance in the preceding Operator Function tables These procedures use example formulas to illustrate using the operator and operand keys and to suggest possible applications For the purpose of these procedures it is assumed that you hav
16. Warning Flag 1 nmn vn ormula 52 0 ault Flag 1 Formula 53 0 Pass Warning Flag 1 nm ormula 53 0 Pass ault Flag 15 nm m Formula 54 0 1 1 22 22 23 23 23 23 23 23 23 23 23 23 23 Warning Flag 3 w ormula 54 0 Pass ault Flag 1 F nm PIN Appendix A CVM Communications With MATH PAK A 20 Discrete Bit Inputs continued a Be A 8 pp ND Dn j nueg 7 T Backplane Definition Notes dM i un 7 12 a 55 Warning Flag 7 1 Formula 55 Pas Fault Flag Fail 7 1 16 Formula 56 0 Warning Flag 7 15 17 Formula 56 Pass Fault Flag Fail Ww D D ALLEN BRADLEY u 39 6 ROCKWELL INTERNATIONAL COMPANY With offices in major cities worldwide WORLD HEADQUARTERS 1201 South Second Street Milwaukee WI 53204 USA Tel 414 382 2000 Telex 43 11 016 FAX 414 382 4444 EUROPE MIDDLE EAST AFRICA HEADQUARTERS Allen Bradley Europe B V Amsterdamseweg 15 1422 AC Uithoorn The Netherlands Tel 31 2975 43500 Telex 844 18042 FAX 31 2975 60222 Catalog No 5370 ND005 Series A A subsidiary of Rockwell International one of the world s largest technology companies Allen Bradley meets today s automation challenges with over 85 years of practical plant floor experience More than 13 000 employees throughout the world design manufacture and apply a wide range of control and automation products and supporting servic
17. Window 1 Value 314 315 26 27 0 15 Formula 2 Results Window 2 Value 316 317 28 29 0 15 Formula 3 Results Window 3 Value 318 319 30 31 0 15 Formula 4 Results Window 4 Value 320 321 32 33 0 15 Formula 5 Results Window 5 Value 322 323 34 35 0 15 Formula 6 Results Window 6 Value 324 325 36 37 10 15 Formula 7 Results Window 7 Value 326 327 38 39 10 15 Formula 8 Results Window 8 Value 328 329 15 Formula 9 Results Gage 1 Value 330 331 42 43 15 Formula 10Results Gage 2 Value 332 333 44 45 0 15 Formula 11 Results Gage 3 Value 334 335 46 47 15 Formula 12 Results Gage 4 Value 336 337 48 49 15 Formula 13 Results Gage 5 Value 338 339 50 51 0 15 Formula 14 Results Gage 6 Value 340 341 52 53 15 Formula 15 Results Gage 7 Value 342 343 54 55 10 15 Formula 16 Results Gage 8 Value eo o e o eo Appendix A CVIM Communications With MATH PAK Location of Formula Results continued Table A 2 Block 2 Formula Results Bit Definition With MATH PAK without MATH PAK ormula 17 Results Window 9 Value F F F Backplane Toolset 2 354 355 E 0 15 356 357 ormula 18 Results Window 10 Value 358 359 ormula 19 Results Window 411 Value 360 361 Formula 20 Results Window 12 Value 362 363 Formula 21 Results Window 13 Value 364 365 12 13 15 Formula 22 Results Windo
18. Words 19 and 20 represent a 16 bit 16 bit fixed point decimal value or 32 bit integer Words 21 and 22 represent a 16 bit 16 bit fixed point decimal value or 32 bit integer Words 23 and 24 represent a 16 bit 16 bit fixed point decimal value or 32 bit integer Appendix A CVIM Communications With MATH PAK Fail Warning Ranges Formulas 1 8 17 24 33 40 in Toolset 1 A 9 Table A 5 lists the fail and warning range data locations for Formulas 1 through 8 17 through 24 and 33 through 40 blocks 42 65 Refer to the following for the block number for each formula Table A 5 provides the word of the data in each block Formula 1 Block 42 Formula 2 Block 43 Formula 3 Block 44 Formula 4 Block 45 Formula 5 Block 46 Formula 6 Block 47 Formula 7 Block 48 Formula 8 Block 49 Formula 17 Block 50 Formula 18 Block 51 Formula 19 Block 52 Formula 20 Block 53 Formula 21 Block 54 Formula 22 Block 55 Formula 23 Block 56 Formula 24 Block 57 Formula 33 Block 58 Formula 34 Block 59 Formula 35 Block 60 Formula 36 Block 61 Formula 37 Block 62 Formula 38 Block 63 Formula 39 Block 64 Formula 40 Block 65 Table A 5 Configuration Blocks 42 65 Fail Warning Ranges T51 Remote I O amp RS 232 Words 28 and 29 represent a 16 bit 16 bit fixed point decimal value or 32 bit integer Words 30 and 31 represent a 16 bit 16 bit fixed point decimal value or 32
19. output boxes labeled 1 Results or 2 Results if appropriate When you pick the appropriate box the shaded square shifts to it In addition the output number appears in the lower box under WARNING RANGE From the Output Selection popup menu pick one of the available output boxes labeled 1 Results or 2 Results if appropriate When you pick the appropriate box the shaded square will shift to it In addition the output number appears in the lower box under FAULT RANGE The limits on the size of formula results data the numbers resulting from a formula s operation are a function of the memory space allocated to those results Here are the specific limits The largest positive fixed point result value that the system can return is 32 767 999 The largest negative fixed point result value that the System can return is 32 768 000 The largest positive integer result from a formula s operation cannot exceed 2 1 or 2 147 483 647 The largest negative integer result from a formula s operation cannot exceed 2 or 2 147 483 648 e Results from fixed point calculations sometimes contain rounding errors Normally these errors will not affect the usefulness of the results for your applications CVIM MATH PAK Installation and Configuration T MATH PAK Application This section provides three MATH PAK application xamples examples the main purpose of which is to give you
20. p3 Definitions Formula Entry Operator Keys Key Functions continued The operator keys are used to select the mathematical logical and other operators in a formula The next two tables list these operators and briefly describe their functions mETM nu Operator Functions Part 1 of 2 ABS Absolute value INT FP Computes the absolute value of a number negates the value if itis negative Computes an angle in degrees from operands A X and A Y ATN Arc tangent FP which are the changes in the X and Y coordinates of a point such as an edge that has moved within the image field AVG Average INT FP Computes the average of a list of operands EP Computes the cosine of an angle in degrees Returns a fixed point number Computes distance given the four operands X4 Y1 X2 and Y2 by computing the square root of the sum of the squared differences INT FP Finds the maximum numeric value in a list of operands Finds the middle numeric value in a list of operands by sorting the list in ascending order and returning the value located at the center position in the sorted list COS Cosine DST Distance o MAX Maximum MED Median INT FP MIN Minimum INT FP Finds the minimum numeric value in a list of operands INT FP Finds the value in a list that appears most often If no value appears more than once MOD returns the lowest value Computes the sine of an angle in degrees Returns a fix
21. run mode when you select the Results Page or Stat 1 Page display table you must pick the Page page down box one or more times in order to see the results or statistics from any formula whose number is beyond the number that you selected in the Disp Formulas menu box For example if you want to see the results from formula 12 and you selected 5 in the Disp Formulas menu box formulas 1 through 5 will appear on page one of the Results Page display table formulas 6 through 10 will appear on page two and formulas 11 through 715 will i appear on page three Thus you must pick the Page box two times to reach page three and see the results or statistics from formula 12 HO Page Display A second page has been added to the I O Page display table in order to display the I O status of all 56 formulas The formula display box on page two provides the same kind of pass warn fail status information as the gage and window display boxes on page one You can access page two by picking the Page page down box once The O Page display table is described fully in Chapter 10 of the CVIM User s Manual All Tools Display When you select the All Tools display function for the run mode the names of all of the enabled formulas appear on the monitor screen starting in the upper left corner On a color monitor the color indicates the pass warn fail condition of each formula Note that disabled formulas will not appear in
22. the screen listing Thus if formulas 1 and 56 are the only ones 7 enabled only those two formulas will appear in the list with formula 1 on top CVIM MATH PAK Installation and Configuration pa Configuring MATH PAK Asindicated earlier the MATH PAK option adds a menu Formulas box called Config Results and it is your entry point for Your Action configuring MATH PAK formulas Use the following steps to configure MATH PAK formulas Comments Pick the Misc menu box When you pick the Misc menu box in the Main Menu the in the Main Menu Misc popup menu shows the Config Results menu box as follows Config Results c00 Config Results Menu Box Snapshot eoo Snapshot Misc Registration eco Pick the Config Results When you pick the Config Results menu box the Config menu box Results popup menu appears as follows Range Outputs eee Set Formula coo Set Name 7 Config Results Formula 1 Disabled Popup Menu Jump eee Snapshot 4 Misc Analysis Popup Menu Registration Camera A Ref Line Ref Win Gage Window When no formula has been configured for the current formula number the Config Results popup menu appears as shown above In this case the Set Name menu box has no name in it and the Formula menu box shows that the selected formula number is Disabled In addition the menu boxes labeled Range Outputs Set Name and Formula appear in black
23. this information still applies with the following exceptions Results for Windows 1 8 and Gages 1 8 Block 1 are replaced by Formulas 1 16 Results for Windows 9 24 and Gages 9 22 Block 2 are replaced by Formulas 17 46 Results for Gages 23 32 Block 3 are replaced by Formulas 47 56 Fail Warning Ranges apply to formulas Warning and Fault Flags apply to formulas Note The formula results only replace window or gage results if the formula is enabled If you want to obtain window or gage results that are replaced by formula results use the configurable results block block 4 Location of Formula When enabled the formula results replace window and gage Results results Table A 1 shows the location of the Block 1 formula results Table A 2 shows the location of the Block 2 formula results Table A 3 shows the location of the Block 3 formula results Note You cannot program the programmable results block block 4 to contain formula results A 2 Location pa 48 49 50 51 52 53 54 55 56 57 58 59 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 Word Bit Backplane RS 232 and Toolset Toolset Remote 2 1 0 Appendix A CVIM Communications With MATH PAK of Formula Results continued Table A 1 Block 1 Formula Results Definition With MATH PAK without MATH PAK 312 313 24 25 0 15 Formula 1 Results
24. windows displayed would be reduced Stat 1 Page Display The following illustration is an example showing page one of the Stat 1 Page display table GAGE Samples Mean Std Dev Min Reading Max Reading WINDOW Samples Mean Std Dev Min Reading Max Reading 3179 105 2 063 3171 3186 FORM Samples Std Dev Min Reading Max Reading 122 284 121 000 124 000 133 182 127 000 137 000 152 000 152 000 152 000 The statistics data appearing in the GAGE WINDOW and FORM boxes have the following significance Gage 1 is enabled however gage 1 statistics cannot be accumulated because formula 9 which is on page two is enabled Thus statistics data are not displayed for gage 1 12 CVIM MATH PAK Installation and Configuration Exit Popup Menu continued Stat 1 Page Display continued Window 1 is enabled and has returned results data Its results are ranged checked and since formula 1 is not enabled statistics data are displayed for window 1 Window 2 is disabled thus no data appear Formulas 1 and 2 are disabled thus no data appear Formula 3 is named Y POS 1 formula 4 is named Y POS 2 and formula 5 is named X POS 1 Note that statistics data from the light probe are not displayed in the example the Disp Probe menu box reads Disabled If probe results were enabled for display the total number of formulas gages and windows displayed would be reduced NOTE During the
25. written permission of the Allen Bradley Company is prohibited 1991 Allen Bradley Company Table of Contents CVIM MATH PAK Installation and Configuration MATH PAK User Manual Objectives MATH PAK Option Definition User Experience onn Sa Lak a naa eee P ate MATH PAK Option Overview Installing MATH PAK Option MATH PAK Option Menu Display Changes Gages and Windows Range Reference Popup Menu made reece at ee ease ds Misc Popup Menu Exit Popup Menu Range Fail Menu Box Disp Formulas Menu Box Results Page Display Stat 1 Page Display VO Page Display All Tools Display Configuring MATH PAK Formulas Definitions MATH PAK Terms and Concepts Definitions Formula Entry Key Functions Digit Keys 0to9 Operand Keys Operator Keys consue NA ek steed LAA Control Keys oce ax Nau Ehe RE E EN Using Control Keys Del Delete Key Clr Clear Key sos uec ei RA IH eph Ret Return Key Esc Escape Key Cursor Keys e and gt
26. 0 to be a negative angle 36 3 which in the 1st quadrant NOTE The ATN operator in this example uses the same frame of reference for measuring an angle that the reference windows and reference lines use for measuring rotation angles The following procedure shows you how to set up a formula using the ATN operator The procedure uses the preceding formula ATN GAGE2 GAGE 1 GAGE 2 3 GAGE 1 3 to demonstrate the entry of an ATN formula Comments The ATN operator is on this keyboard When you pick the ATN key the following entry appears in the upper box of the keyboard Using Operator and Operand Keys continued Your Action Select the first formula entry keyboard then pick the G for Gage key Pick the 2 key Pick these four keys minus G 1 comma Pick these four keys G 2 decimal 3 CVIM MATH PAK Installation and Configuration 53 ATN Key continued Comments This is the first step in assigning a gage operand The display should appears as follows Formula ATN GAGEOA This assigns gage 2 as the first operand When configured as GAGE2 this operand returns gage 2 measurement data to the formula In this example it returns Y position data since gage 2 would have been configured earlier for that gage operation Formula ATN GAGE2A This sets up gage 1 as the second operand and thereby completes the requirement for AY in the ATN formula G
27. 1 Page display tables 10 CVIM MATH PAK Installation and Configuration Exit Popup Menu continued TRIGGERS Accepted Missed Total GAGE 1 WINDOW Faults Fail Low 1 2 FORM 1 2 Y POS 1 Y POS2 X POS 1 Disp Formulas Menu Box continued By picking the Disp Formulas menu box you can specify the number of formulas whose results are to be displayed on each page of the Results Page and Stat Page 1 display tables This menu box operates in the same manner as the other Disp menu boxes which are described in Chapter 10 of the CVIM User Manual If you pick the help message icon the help message box will appear in the upper left corner of the monitor screen and contain a message such as the following Select the number of formulas per page to be displayed on both the Results Page and Statistics Page 1 Current maximum 8 formulas that indicates the current maximum number of formulas that can appear on each page of the Results Page and Stat 1 Page display tables The number varies according to how many gages and windows been selected in the Disp Gages and Disp Windows menu boxes and whether or not the light probe results are to be displayed Results Page Display The following illustration is an example showing page one of the Results Page display table FAULTS Reference Lines Windows 1 1 2 3 123456 Master Fault 0 Light Probe 12345
28. 5 56 CVIM MATH PAK Installation and Configuration Using Operator and Operand Keys continued Modulo Operator Key The modulo operator is used between two values to return a remainder if any resulting from the division operation For example by placing the modulo operator 96 between the following two integers 52 Jo 34 the system divides the left integer by the right integer then returns the remainder from the division operation Since 34 goes into 52 once the remainder is 52 34 18 Thus the system returns a result of 18 Unary Operator Key The unary operator can be entered just ahead of an operand in a formula in order to negate the value of the operand For example when entering the following list of integers 15 27 133 6 press the unary key to place a minus sign before entering the integer 27 This causes 27 to become a negative integer Comma Key The comma is used to separate the operands in a list such as in an AVG formula AVG 21 54 101 3 Logic Operator Keys The logic operators can perform logical operations when placed between two values in a formula The result from these operations is either a logic 1 or logic 0 according to whether or not the logic condition is satisfied for the particular logic operator and values used The following examples show how the logic operators work AND Assume that the inspection result from GAGE1 is 6 and the
29. 6 Warn Low Warn Hi Fail Hi Faults Fail Low 0 Reading 127 000 Warn Hi 3300 Fail Hi 3400 Warn Low 3100 Reading 0 3000 3182 Faults Faillow Warn Low Warn Hi Fail Hi Reading 110 000 105 000 130 000 120 000 115 000 140 000 127 000 124 000 152 000 140 000 135 000 160 000 150 000 145 000 170 000 CVIM MATH PAK Installation and Configuration Exit Popup Menu continued Results Page Display continued In the illustration the data appearing in the GAGE WINDOW and FORM boxes have the following significance Gage 1 is enabled and has returned results data however gage 1 results data are not ranged checked because formula 9 which is on page two is enabled Thus fail and warning range limits are not displayed for gage 1 Window 1 is enabled and has returned results data Its results are ranged checked since formula 1 is not enabled Window 2 is disabled thus no data appear Formulas 1 and 2 are disabled thus no data appear Formula 3 is named Y POS 1 Note that its results are the same as the results from gage 1 shown above but since Y POS 1 is a formula its results are range checked Formula 4 is named Y POS 2 and formula 5 is named X POS 1 Note that the results data from the light probe are not displayed in the example the Disp Probe menu box reads Disabled If probe results were enabled for display the total number of formulas gages and
30. 7 Formula 24 Fault Flag ai Formula 33 0 Pass Warning Flag 1 F Formula 33 0 Pass Fault Flag 1 Fail rmula 22 Q Pass arning Flag 1 Fail co E Ww nmm co N N N N N N E E E N m n sg 3 Formula 34 0 Warning Flag 1 Formula 35 0 Warning Flag 11 ai Formula 35 0 Pass Fault Flag 1 Fail 283 3 Formula 36 0 Pass Warning Flag 1 Fail RO w E NO oj nn B o a3 mt D t O w rss O uoa Tm Q o D Low wu Appendix A CVIM Communications With MATH PAK Discrete Bit Inputs continued Table A 8 Definition ormula 36 ault Flag mn m Formula 37 Warning Flag 13 15 Formula 39 Fault Flag Formula 40 Warning Flag Formula 10 Warning Flag 3 Formula 10 0 Fault Flag 1 Appendix A CVIM Communications With MATH PAK A 16 Discrete Bit Inputs continued Table A 8 ete H Dn Word Definition No Formula 11 Warning Flag Formula 12 Warning Flag Formula 14 Warning Flag Formula 14 Fault Flag Formula 15 Warning Flag Formula 16 Warning Flag ormula 16 ault Flag Formula 25 arning Flag ormula 25 ault Flag Appendix A CYM Communications With MATH PAK Discrete Bit Inputs continued Table A 8 Word Formula 26 arning Flag 21 ormula 26 ault Flag 21 Formula 28 arning Flag 21 ormula 28 ault Flag 21 rmula 29 arning Flag ormula 29 ault Fla
31. 9 46 47 0 15 Formula 39 Results Window 23 Value 136 137 400 401 48 49 0 15 Formula 40 Results Window 24 Value 138 139 402 403 50 51 Formula 41 Results Gage 17 Value 404 405 52 53 10 15 Formula 42 Results Gage 18 Value 142 143 406 407 54 55 0 15 Formula 43 Results Gage 19 Value 144 145 408 409 56 57 0 15 146 147 410 411 58 59 10 15 Gage 21 Value 15 148 149 412 413 0 Formula 46 Results Gage 22 Value Formula 44 Results Gage 20 Value Formula 45 Results Appendix A CVIM Communications With MATH PAK A 5 Location of Formula Results continued Table A 3 SINCE U Definition With MATH PAK without MATH PAK 0 15 Formula 47 Results Gage 23 Value 5 Formula 48 Results Gage 24 Value 422 423 15 Formula 49 Results Gage 25 Value 424 425 15 Formula 50 Results Gage 26 Value 426 427 10 11 0 15 Formula 51 Results Gage 27 Value 428 429 12 13 0 15 Formula 52 Results Gage 28 Value 430 431 14 15 10 15 Formula 53 Results Gage 29 Value 432 433 16 17 10 15 Formula 54 Results Gage 30 Value 434 435 18 19 0 15 Formula 55 Results Gage 31 Value 436 437 20 21 0 15 Backplane Toolset 2 Notes Toolset 1 154 155 156 157 E 158 159 o 160 161 eo 162 163 164 165 166 167 168 169 170 171 172 173 Formula 56 Results
32. AK Installation and Configuration Definitions Formula Entry Operand Keys continued Key Functions continued The following table lists the key code and subcodes for each operand along with a brief description of the type of results data that each code subcode combination returns when used within a formula Ka P Sub Ka Operand Name Type of Results Data Returned to Formula Gage measurement value of pixels of edges etc GAGEn s Pass fail condition for warning range 1 pass 0 fail n 1 to 32 Pass fail condition for fault range 1 pass O fail s 0 to 3 Second coordinate value Y coordinate for X Position gage X coordinate for Y Position gage WINn s Window measurement value of pixels of objects etc n 1 to 24 Pass fail condition for warning range 1 pass 0 fail s 0to2 Pass fail condition for faultrange 1 pass O fail X coordinate value of edge position on reference line REFLn s Y coordinate value of edge position on reference line n 2 1to3 Pass fail condition for reference line 1 pass O fail s 0to3 Theta from a reference line configured for X X then Y or Y Y then X rotation compensation Cumulative position X coordinate value Cumulative position Y coordinate value Cumulative angle 9 Cumulative pass fail condition 1 pass O fail Active feature 1 position X coordinate v
33. ARNING RANGE Pick the lower box under When you pick this box a variation of the Output WARNING RANGE Assignment popup menu appears on the screen as follows Output Selection Popup Menu 0 000 eee 0 000 eee 0 000 eee 0 000 eee Range Output Setup Table Previous eee Analysis Registration eec 68 CVIM MATH PAK Installation and Configuration Assigning Range Limits and Outputs continued Your Action Pick the output number for the WARNING RANGE Pick the lower box under FAULT RANGE Pick the output number for the FAULT RANGE Results Data Size and Rounding Constraints Comments This is the Output Selection popup menu It shows the output functions that you assigned to the Output Assignment popup menu Refer to the CVIM User s Manual Chapter 4 Operating Environment NOTE This menu shows that only the outputs that you designated in Chapter 4 as 1 Results or 2 Results if this formula is in tool set 42 are available to this formula The available outputs appear in light type and all others appear in black type meaning that you cannot pick them Note also that the No Output box in the Output Selection popup menu has a shaded square O This indicates that no output is currently assigned to carry WARNING RANGE signals for this formula From the Output Selection popup menu pick one ofthe available
34. ATH PAK Installation and Configuration Since the MATH PAK option adds functions to the basic CVIM system installing the option changes the appearance of some of the menus and display tables in the user interface This section describes the changes resulting from the installation of the MATH PAK option When you pick the Range Reference menu box in the Gage or Window popup menu the Range Reference popup menu appears with a new menu box as follows Range Menu Box Range Reference Popup Menu Nominal 111 B Pixels Enabled 4 Gage Popup Menu The Range menu box indicates the status of range checking for the currently selected gage or window When Disabled appears in the menu box the CVIM system does not perform range checking for the tool This is true in any ofthe following situations When the currently selected tool is disabled When the selected tool is enabled but you intentionally select Disabled in the Range menu box When an enabled formula preempts range checking for the selected tool Thus when formula 1 is enabled range checking for window 1 is disabled Enabled appears in the Range menu box and the CVIM system performs range checking for the currently selected tool only when you complete the following steps Disable the formula number that can preempt range checking for the currently selected tool Thus when formula 1 is disabled range c
35. Initially only the Set Formula Jump and Previous Next menu boxes are accessible they are in light type These boxes enable you to select the formula number that you want to configure The other boxes are not accessible at this time they are in black type Here is a summary list of the steps you will normally take to configure MATH PAK formulas 1 Select the formula number using the Jump Previous and or Next menu boxes 2 Configure the formula using the Set Formula menu box 3 Select a formula name using the Set Name menu box 4 Enable the formula by toggling the Formula menu box 5 Set the range limits and select the outputs for the enabled formula using the Range Outputs menu box The Configuring MATH PAK Formulas section of this manual describes these steps in detail When you pick the Analysis menu box in the Misc popup menu and the Tool Display menu box in the Analysis popup menu the Tool Display popup menu appears as follows Continuous S amp A Snap amp Analyze Analyze Image Config Results ooo Snapshot coo Analysis Tool Display Popup Menu Popup Menu O All Tools Included in the Tool Display popup menu is the Formulas menu box which enables you to analyze the process time for all enabled formulas When you pick Formulas all enabled tools appear on the monitor screen as they do when you pick All Tools When you then pick the Continuous S amp A Snap am
36. Key continued Comments The Formula saved message indicates that the CVIM system has saved the DST formula in its memory This completes the procedure for entering and saving the DST formula MAX MIN Keys The MAX maximum and MIN minimum functions find the largest and smallest values respectively in a list of operands In a MATH PAK formula the MAX and MIN operators require two or more operands The basic formulas take this form MAX list and MIN list The following procedure shows you how to set up a formula using the MAX or MIN operator The procedure uses a list of integers to demonstrate the entry of these formulas Comments The MAX and MIN operators are on this keyboard When you pick the MAX key the following entry appears in the upper box of the keyboard Formula MAX A This enters the first operand in the list along with a comma The display should now appear as follows Formula MAX 12 A The unary operator is on this keyboard CVIM MATH PAK Installation and Configuration 42 Using Operatorand MAX MIN Keys continued Operand Keys continued Your Action Comments Enter three more operands This enters the remaining operands in the list Use the 5 89 100 unary key to enter the minus sign ahead of the 100 The display should now appear as follows Formula MAX 12 5 89 1004 Select the second formula The parenthesis keys are on t
37. The following procedure shows you how to use the Del key The example shows the entry of a formula that adds two integers then changes the formula to subtract two integers by changing the add operator to a subtract operator Comments The Del key is on both keyboards This enters a simple formula for adding 4 and 2 Note that the cursor A is to the right of the number 2 Now suppose you want the formula to subtract 2 from 4 This means you must change the add operator to a subtract operator Continue as follows This moves the cursor to the left one space It should now be to the left of the add operator 24 CVIM MATH PAK Installation and Configuration Using Control Keys continued Your Action Pick the Del delete key Pick the minus key Del Delete Key continued Comments This deletes the add operator and moves the cursor A to the right of the number 4 Formula 4A 2 NOTE Although the Del key can delete formula items from the box it does not delete the item from memory if the formula was previously saved using the return Ret key If you change your mind after picking the Del key you can restore the entire last saved formula by picking the Esc key This enters the subtract operator into the formula Formula 4 a2 The formula is now reconfigured to subtract 2 from 4 Cir Clear Key The Clr clear key can delete an entire f
38. a SIN A 48 CVIM MATH PAK Installation and Configuration Using Operator and Operand Keys continued Your Action Pick these two keys 3 0 Pick the close parenthesis key idi Pick the Ret return key Look at the message box in the upper left corner of the screen SIN Key continued Comments This enters the value of the positive angle in degrees The display should now appear as follows Formula SIN 30n This completes the SIN formula entry Formula SIN 30 A This causes the system to display the result In this case the result is 0 500 which is the sine of an angle of 30 Formula result 0 500 SIN 30 a The Formula saved message indicates that the CVIM system has saved the formula in its memory This completes the procedure for entering and saving the SIN formula SQR Key The SQR square root function computes the square root of a value It always returns a fixed point number regardless of whether the original value was an integer or a fixed point number For example if the value entered is 49 the SQR function returns 7 000 In a MATH PAK formula the SQR operator requires one operand The basic formula takes this form SQR value The following procedure shows you how to set up a formula using the SQR operator Using Operator and Operand Keys continued Your Action Select the second formula entry keyboard
39. a operation upon which a mathematical or logical operation 1s performed Operands are listed in a table under the Operand Keys heading e Result the value generated by operators acting upon operands The following examples demonstrate the use of various operands and operators and the results they produce in arithmetic and logical formulas Definitions MATH PAK Terms and Concepts continued CVIM MATH PAK Installation and Configuration T Arithmetic examples Here are a few examples of how the terms operand operator and result are used within various arithmetic formula constructions 1 GAGE1 GAGE2 In this formula GAGE1 and GAGE2 are operands that represent results data from gages 1 and 2 and isan arithmetic operator 2 3 WIN1 WIN2 In this formula 3 WIN1 and WIN2 are both operands and is an arithmetic operator The expression 3 WIN1 is itself an operand representing the multiplication of the window 1 results data by the constant 3 WIN 1 and 3 are operands in the expression and is an arithmetic operator 3 MAX GAGE1 WIN1 750 In this formula GAGE1 WIN1 and 750 are all operands and MAX is an arithmetic operator In the expression the MAX operator causes the values of the three operands gage 1 and window 1 measurements and the constant 750 to be compared The formula result will be the largest value Logic examples Results from logic formulas are either true
40. able to MATH PAK formulas Definitions Formula Entry Key Functions describes briefly the specific functions of the keys in each category control operand and operator keys Using Control Keys describes in detail the procedure for using each control key Simple examples are included to illustrate the procedures Using Operator and Operand Keys describes in detail the procedure for using each operand and operator key Simple examples are included where appropriate to illustrate these procedures This section briefly defines some of the key terms and concepts as they apply to the MATH PAK option MATH PAK formulas consist of combinations of operators and operands that act together to produce a result Operator a symbol such as or a term such as AND that represents a mathematical or logical operation upon one or more operands All of the operators are listed under the Operator Keys heading Operators are further classified as arithmetic logical and conditional as follows Arithmetic operators such as and TAN perform addition subtraction multiplication division tangent and other operations Logical operators such as AND along with conditional operators such as lt 5 not equal produce Boolean results where the results are always either true logic 1 or false logic 0 Operand a quantity or value such as a constant a tool result or a result from a formul
41. age 1 returns Y position data Formula ATN GAGE2 GAGE1 A This sets up gage 3 as the third operand The 2 3 causes gage 2 to return second coordinate data to the formula In this case itis X position data For more information refer to the result data types table under the Operand Keys heading Formula ATN GAGE2 GAGE1 GAGE2 3 3 CVIM MATH PAK Installation and Configuration 4 Using Operator and ATN Key continued Operand Keys continued Your Action Comments Pick these five keys This sets up gage 1 as the fourth operand and thereby minus G 1 decimal 3 completes the requirement for the AX in the ATN formula In this case the 1 3 causes gage 1 to return second coordinate data to the formula Since gage 1 is configured for the Y position gage operation it returns X position data to the formula Formula GAGE2 GAGE1 GAGE2 3 GAGE1 3A NOTE A left arrow has appeared at the left side of the display and the ATN has disappeared This indicates that the remainder of the formula has been shifted off the display because of space limitations Generally any time a formula is too large to be displayed completely a left or right arrow appears in the left or right side of the display indicating the location of the remainder of the formula Select the second formula The parenthesis keys are on this keyboard entry keyboard Pick the
42. alue Active feature 1 position Y coordinate value Active feature 1 score value REFWn s Active feature 1 pass fail condition 1 pass 0 fail n 1 to 3 Active feature 2 position X coordinate value s Oto 15 Active feature 2 position Y coordinate value Active feature 2 score value Active feature 2 pass fail condition 1 pass O fail Active feature 3 position X coordinate value Active feature 3 position Y coordinate value Active feature 3 score value Active feature 3 pass fail condition 1 pass O fail LPRB s s Oto 2 Light probe brightness value Pass fail condition for warning range 1 pass O fail Pass fail condition for fault range 1 pass 0 fail RSLTn s Formula n results data value n 1 to 56 Pass fail condition for warning range 1 pass O fail s 0 to 2 Pass fail condition for fault range 1 pass O fail Formula tool n statistics Number of samples taken Formula tool n statistics Minimum reading value Formula tool n statistics Maximum reading value Formula tool n statistics Mean value Formula tool n statistics Standard deviation value The letter n operand number s operand subcode The Operand Name column shows how each operand appears when entered into a formula STATn s n 1to 56 s 0to4 CVIM MATH PAK Installation and Configuration
43. bit integer Warning Range High Integer Words 32 and 33 represent a 16 bit 16 bit fixed point decimal value or 32 bit integer Warning Range Low Words 34 and 35 represent a Integer 16 bit 16 bit fixed point decimal value or 32 bit integer Appendix A CVIM Communications With MATH PAK A 10 Faill Warning Ranges Formulas 9 16 25 32 41 56 in Toolset 2 Table A 6 lists the fail and warning range data locations for Formulas 9 through 16 25 through 32 and 41 through 56 blocks 72 103 Refer to the following for the block number for each formula Table A 6 provides the word of the data in each block Formula 9 Block 72 Formula 10 Block 73 Formula 11 Block 74 Formula 12 Block 75 Formula 13 Block 76 Formula 14 Block 77 Formula 15 Block 78 Formula 16 Block 79 Formula 25 Block 80 Formula 26 Block 81 Formula 27 Block 82 Formula 28 Block 83 Formula 41 Block 88 Formula 42 Block 89 Formula 43 Block 90 Formula 44 Block 91 Formula 45 Block 92 Formula 46 Block 93 Formula 47 Block 94 Formula 48 Block 95 Formula 49 Block 96 Formula 50 Block 97 Formula 51 Block 98 Formula 52 Block 99 Formula 29 Block 84 Formula 30 Block 85 Formula 31 Block 86 Formula 32 Block 87 Table A 6 Configuration Blocks 72 103 Fail Warning Ranges T52 Formula 53 Block 100 Formula 54 Block 101 Formula 55 Block 102 Formula 56 Block 103 Remote I O amp RS 232 Bit Defi
44. ced between two operands where the left operand result is less than the right operand result Thus if the GAGEI result is 7 and the GAGE2 result is 8 in the following formula GAGE1 GAGE2 the formula will return a logic 1 result since 7 is greater than 8 If the GAGE1 result were equal to or greater than the GAGE result the formula would return a logic 0 gt The greater than or equal to operator gt returns a logic 1 when placed between two operands where the left operand result is greater than or equal to the right operand result Thus if the GAGEI result is 46 and the GAGE2 result is 45 in the following formula GAGEI gt GAGE2 the formula will return a logic 1 result since 46 is greater than 45 The result would be the same in this case if the two gage results were both 45 or 46 If the GAGEI result were less than the GAGE result the formula would return a logic 0 lt The less than or equal to operator lt returns a logic 1 when placed between two operands where the left operand result is less than or equal to the right operand result Thus if the GAGE1 result is 32 and the GAGE2 result is 33 in the following formula GAGE1 gt GAGE2 the formula will return a logic 1 result since 32 is less than 33 The result would be the same in this case if the two gage results were both 32 or 33 If the GAGE result were greater than t
45. cesses the results data from the formula s operation in the same way that it handles results data from tools Figure 1 2 shows how the CVIM system handles inspection results data when the MATH PAK option is installed and formulas are configured to manipulate results data from one or more tools Figure 1 2 CVIM System With MATH PAK Formulas CVIM Inspection Inspection Results Data from One or More AnalysisTools Formula Manipulates Results Data from Tools Results Data from Formula Manipulation Range Limit s Exceeded or Tool Failed MATH PAK affects this part of the results data handling process Appropriate Fault Warning Bit s Cleared Appropriate Fault Warning Bit s Set Bit s Sent to Assigned Output s To Chassis Backplane Results Data Stored in CVIM Memory To 1771 Remote IO Port To RS 232 Port CVIM MATH PAK Installation and Configuration Installing MATH PAK The MATH PAK option is provided on a memory card You Option can install the option in your CVIM system by inserting the memory card into the Archive Memory slot on the CVIM module s front panel and applying power to the module NOTE The CVIM system must have Revision C01 or higher firmware before the MATH PAK option can be installed The firmware revision can be seen in the banner message on the monitor screen following powerup The following steps assume that the CVIM system contains R
46. ch character of the new name Pick the Ret key to enter the new formula name Enabling Formula CVIM MATH PAK Installation and Configuration Comments The preceding keyboard illustration shows the first keyboard while the following illustration shows the second keyboard As you pick the characters they will appear after New name When you pick the Ret key the new name will appear in the Set Name menu box in the Config Results menu Note also that the Formula saved message appears in the message box on the monitor screen Formula saved This indicates that the name has been saved in memory Use this function to enable the currently selected formula NOTE When you enable a formula the CVIM system prevents an associated gage or window from sending its results to the discrete outputs For example if you enable formula 1 the results of its operation will be available to the discrete outputs instead of the results from a window 1 inspection The CVIM system will use the range limits and discrete outputs assigned to formula 1 and send the results of its operation to those outputs Window 1 results data are still available through the other I O ports however Enabling Formula continued Window 1 Window 2 Window 3 Window 4 Window 5 Window 6 Window 7 Window 8 Your Action Pick the Formula XX menu box Pick the Formula XX menu box again tf appropriate Formula 0
47. ch window is one black object the only correct sum is six Thus all range limits for the formula would be set to six MATH PAK Application Examples continued CVIM MATH PAK Installation and Configuration sa Example 3 Making Complex Inspection Decisions Using MATH PAK Logic Operators Some inspection decisions require more than using inspection results data from tools as the direct basis for making the decision With the MATH PAK option as shown in Examples 1 and 2 results data from several tools can be combined in a mathematical formula and the results from the formula a along with range checks as the basis for a GO NOGO ecision Some applications however can make use of one or more MATH PAK logical formulas to produce a GO NOGO decision In this example the requirement is to measure the distance across a trianglular object at three different angles If two of the three measurements meet or exceed the minimum distance of 15 units the part s shape is considered to be uniform In addition a window is used to measure the object s area If the area meets or exceeds 100 square units the part s area is considered to be adequate gt Window S79 2 Workpiece Two formulas are used as follows 1 GAGE1 gt 15 GAGE2 gt 15 GAGES3 gt 15 2 WIN1 gt 100 AND RSLT1 gt 2 In formula 1 each expression makes the statement If GAGEn is greater than 15 then return a logic 1
48. cribed in the following table wee BA OOO Mar oeer tomua Ceartheenivefomile SS Re Return Cauesir Tomua to besed iamen tic tape Restores the formola tots condition whentantaved RS Key Clr Ret Esc Using Control Keys Your Action Select either formula entry keyboard Pick these three keys 4 2 Pick the left arrow key CVIM MATH PAK Installation and Configuration 25 The control keys enable you to edit a formula and store it in memory This section describes the use of the control keys and provides the requirements and limitations for using them The keys are discussed in the order of their appearance in the preceding table Where appropriate an example is provided to illustrate the use of a key It is assumed at this point that you have selected an unused formula number and the first formula entry keyboard is on the screen as described earlier in the Configuring MATH PAK Formulas section Del Delete Key The Del key operates as a backspace delete key It can delete an item previously entered into a formula When you pick the Del key the CVIM system deletes the item to the left of the cursor and moves the cursor one space to the left To use the Del key you must first position the cursor using the left arrow or right arrow key to the immediate right of the formula item to be deleted You then pick the Del key to delete the item from the formula
49. dure shows you how to set up a formula using the COS operator The procedure uses a positive angle stated in degrees to demonstrate the entry of a COS formula CVIM MATH PAK Installation and Configuration 38 Using Operatorand COS Key continued Operand Keys continued Your Action Comments Select the second formula The COS operator is on this keyboard entry keyboard Pick the COS key When you pick the COS key the following entry appears in the upper box of the keyboard Formula COS A Pick these two keys This enters the value of the positive angle in degrees The 6 0 display should now appear as follows Formula COS 60 Pick the close parenthesis This completes the COS formula entry key ee a Formula COS 60 A Pick the Ret return key This causes the system to display the result In this case the result is 0 500 which is the cosine of an angle of 60 Formula result 0 500 Look at the message box This indicates that the CVIM system has saved the COS in the upper left corner formula in its memory of the screen This completes the procedure for entering and saving the COS formula Using Operator and Operand Keys continued CVIM MATH PAK Installation and Configuration 35 DST Key The DST distance function computes the distance from one position in the image field to another position It performs the distance computation by using the Pythago
50. e CVIM system will respond with this message WARNING A formula error will cause deletion Reselect to confirm NOTE Before picking the Ret key check the formula fora question mark If the formula is correct so far as the system is concerned the question mark will not be present 26 CVIM MATH PAK Installation and Configuration Using Control Keys continued Esc Escape Key The Esc escape can restore the last saved formula It deletes all items entered since the last time you picked the Ret key Thus if your formula appeared like this the last time you picked the Retkey Formula result 2 4 2a and you enter the following items but do not pick the Ret key after entering them Formula s 4 276 712A and then pick the Esc key the formula will delete the new items and return to its previous state Formula result 2 4 2A Cursor Keys and gt These keys can reposition the cursor A within a formula without deleting any item in the formula For example when you pick the left arrow key lt the cursor moves one item to the left If your formula looks like this initially Formula 24 2 6 12 and you pick the left arrow key the cursor will move to the left of the add operator Formula 4 2 6 a 12 Using Control Keys continued CVIM MATH PAK Installation and Configuration 55 Keyboard Select Keys t and
51. e Set Formula When you pick the Set Formula menu box the first of two menu box formulaentry keyboards appears on the monitor screen Range Outputs eee Config Results ees 3 Formula Entry Formula 1 Disabled Jump coo Previous Next Camera A The upper box in the keyboard displays the name of the currently selected formula and the formula itself In this case no formula has been configured nor formula name entered The lower box in the keyboard displays the keys that are used to select the digits 0 9 the mathematical logical and tool operators and the operands The remaining keys are for editing and saving formulas Pick the up arrow 1 inthe When you pick the up arrow 1 the up arrow changes to a lower right corner down arrow and a second formula entry keyboard appears in which the rightmost six columns of keys have different functions than in the first keyboard Second Formula Entry Keyboard 16 GanngunnG MATH PAK ormulas continued Definitions MATH PAK Terms and Concepts CVIM MATH PAK Installation and Configuration As stated earlier most of the keys in both keyboards are used to select the various elements that make up a formula The remaining keys are used to edit and store a formula The next four sections contain the following information Definitions MATH PAK Terms and Concepts describes the key terms and concepts applic
52. e X X Side adjacent to 0 In a MATH PAK formula the TAN operator requires one operand The basic formula takes this form TAN angle in degrees CVIM MATH PAK Installation and Configuration 52 PA el Using Operatorand TAN Key continued Operand Keys continued The following procedure shows you how to set up a formula using the TAN operator The procedure uses a positive angle stated in degrees to demonstrate the entry of a TAN formula Your Action Comments Select the second formula The TAN operator is on this keyboard entry keyboard Pick the TAN key When you pick the TAN key the following entry appears in the upper box of the keyboard Formula TAN A Pick these two keys This enters the value ofthe positive angle in degrees The 45 display should now appear as follows Formula TAN 45A Pick the close parenthesis This completes the TAN formula entry ey ud Formula TAN 45 a Pick the Ret return key This causes the system to display the result In this case the result is 1 000 which is the tangent of an angle of 45 Formula result 1 000 TAN 45 A Look at the message box The Formula saved message indicates that the CVIM in the upper left corner system has saved the formula in its memory of the screen This completes the procedure for entering and saving the TAN formula CVIM MATH PAK Installation and Configuration kg a Using Ope
53. e box in the upper left corner of the screen CVIM MATH PAK Installation and Configuration Sa ABS Key continued Comments The unary operator is on this keyboard When you pick the key the following entry appears in the display Formula ABS A This will negate the value that follows it This enters the value 45 in the formula The display should now appear as follows Formula ABS 45A The parenthesis keys are on this keyboard This completes the ABS formula entry This causes the system to display the result Note that the original value 45 is converted to the absolute value 45 Formula result 45 z ABS 45 A The Formula saved message indicates that the CVIM system has saved the ABS formula in its memory This completes the procedure for entering and saving the ABS formula j CVIM MATH PAK Installation and Configuration 3 HD H m ni Using Operatorand ATN Key Operand Keys continued The ATN operator computes the angle 0 in degrees of a line relative to the X axis of the image field as follows Line Direction Negative Angles 0 to 180 X Axis of Image Field gt Positive Angles O to 180 Line Direction Line Origin The ATN function computes the angle 0 by first computing the tangent of the angle
54. e just selected an unconfigured formula number and picked the Set Formula menu box which displays a clear formula entry box and the first formula entry keyboard on the monitor screen as described earlier under the Keyboard Select Keys heading NOTE In the following procedures you will occasionally need to alternate between the two keyboards in order to configure some of the formulas You can select the alternate keyboard by picking the up arrow 1 or down arrow in the lower right corner of the keyboard ABS Key The ABS absolute value function converts a negative number to its absolute value Thus 45 is converted to 45 In a MATH PAK formula the ABS operator requires one operand The basic formula takes this form ABS value The following procedure shows you how to set up a formula using the ABS operator The procedure uses a negative integer to demonstrate the entry of an ABS formula Comments The ABS operator is on this keyboard When you pick the ABS key the following entry appears in the upper box of the keyboard Formula ABS A Note that the open parenthesis symbol appears with the ABS operator Using Operator and Operand Keys continued Your Action Select the first formula entry keyboard Pick the key Pick these two keys 45 Select the second formula entry keyboard Pick the close parenthesis key ee Pick the Ret return key Look at the messag
55. ed point number FP Computes the square root of the operand INT FP Computes the square of the operand FP Computes the tangent of an angle in degrees Returns a fixed point number MOD Mode v z Sine SQR Square root SQ Square TAN Tangent Computes the variance of a list of operands The variance is equal to the sum of the square of the difference between each operand in the list and the average value of the operands divided by the number of operands in the list Open Used to set the order of evaluation of a formula Can be INT FP parenthesis nested VAR Variance D Closed INT FP Used to close an open parenthesis parenthesis Add INT FP Adds the right operand to the left operand Subtract INT FP Multiplies the left operand by the right operand INT FP Divides the left operand by the right operand Produces the remainder of the division of the left operand INT FP by the right operand Result types INT integer FP fixed point INT FP either integer or fixed point Multiply Divide INT FP Subtracts the right operand from the left operand Modulo CVIM MATH PAK Installation and Configuration 22 Definitions Formula Entry Operator Keys continued Key Functions continued Result Operator Functions Part 2 od 2 Type Unary minus INT FP Negates a numeric value Decimal point FP Used to enter a fixed point number Also used to designate an opera
56. er source you selected As the inspections continue the Stat Page 1 table displays accumulated results data for each enabled gage window and or formula Picking the Setup menu box stops the run mode and returns the CVIM system to the configuration mode At this time the final data appearing in the Stat Page 1 table are recorded in the Inspection Statistics table for the currently selected formula You will see this when you pick the Range Outputs menu box for the appropriate formula These columns show the mean standard deviation minimum reading and maximum reading statistics for the trial inspection series These statistics are your basis for configuring the range limit values for the currently selected formula This restores the Misc popup menu This restores the Config Results popup menu CVIM MATH PAK Installation and Configuration ak Assigning Range Limits Use the following steps to configure the appropriate range and Outputs continued limits for your MATH PAK formulas Your Action Comments Pick the Range Outputs menu When you pick the Range Outputs menu box two tables will box in the Config Results appear on the screen as follows popup menu 0 000 eee 0 000 eee 0 000 eee 0 000 eee Inspection Statistics Table Range Qu EU UR INE ES EE Range Output Setup Table Config Results Formula 1 Disabled ag Popup Menu Jum
57. er to display statistics from at least one formula per page in the Stat Page 1 table For example if you enter 1 and you want to see the statistics from formula 5 after activating the run mode you must page down the Stat Page 1 table four times in order to see the formula 5 statistics This menu box enables you to specify the number of inspections that you want the CVIM system to perform before it displays accumulated statistical data in the Stat Page 1 table 64 CVIM MATH PAK Installation and Configuration Assigning Range Limits and Outputs continued Your Action Pick the Stat Samples menu box if appropriate Pick the Runtime menu box in the Exit menu Pick the Goto Runmode menu box in the Runtime menu Look the Stat Page 1 table When the desired number of inspections appears under samples in the Stat Page 1 table pick the Setup menu box to stop the run mode Look at the four statistics columns in the Stat Page 1 table Pick the Misc menu box Pick the Config Results menu box Comments When you pick the box the calculator pad appears Enter the number of inspections to be performed for each sample When you pick the Runtime menu box the Runtime popup menu appears When you pick the Goto Runmode menu box the CVIM system begins running inspections if you selected Auto Internal as the trigger source If not the system will await trigger inputs from whatever trigg
58. es to help our customers continuously improve quality productivity and time to market These products and services not only control individual machines but also integrate the manufacturing process while providing access to vital plant floor data that can be used to support decision making throughout the enterprise ASIA PACIFIC HEADQUARTERS Allen Bradley Hong Kong Limited Room 1006 Block B Sea View Estate 2 8 Watson Road Hong Kong Tel 852 887 4788 Telex 780 64347 FAX 852 510 9436 CANADA HEADQUARTERS Allen Bradley Canada Limited 135 Dundas Street Cambridge Ontario N1R 5X1 Canada Tel 519 623 1810 FAX 519 623 8930 LATIN AMERICA HEADQUARTERS 1201 South Second Street Milwaukee WI 53204 USA Tel 414 382 2000 Telex 43 11 016 FAX 414 382 2400 40062 194 01 A
59. evision C01 or higher firmware and is currently powered up Use these steps to install the MATH PAK option in your CVIM system Your Action Comments Pull the DC PWR LOCK This removes DC power from the CVIM module handle out as far as it will go Insert the memory card into the The metal strip and the arrow on the card label must be Archive Memory sloton the facing right CVIM module CVIM Module 1 73 MATH PAK Memory Card Card Label Arrow Metal Strip PushintheDC PWR LOCK Be sure the lock handle is in as far as possible This applies handle DC power to the CVIM module and begins loading the MATH PAK software CVIM MATH PAK Installation and Configuration Installing MATH PAK Option continued Your Action Comments Observe the LEDs during The top three LEDs on the CVIM module indicate the software loading progress of the three phase software loading process as follows Vision Processor Pass Fail Trigger 1 CL CJ Trigger 2 MATH PAK Loading Phase Pass Fail Red to yellow one Red to yellow to green to green Trigger 1 Green O Trigger Green The MATH PAK software loading process requires about 45 seconds with each phase taking about 15 seconds When the loading process is complete the CVIM system begins its normal powerup sequence MATH PAK Option MenulDisplay Changes Gages and Windows RangelReference Popup Menu CTT wwe Learn Gage 1 CVIM M
60. formula result will be true logic 1 ig the gage 1 result is not equal to the expression result the formula result will be false logic 0 4 GAGE1 1 AND GAGE2 1 In this formula the left operand the warning range result from gage 1 is ANDed with the right operand the warning range result from gage 2 These operands will always be either true logic 1 or false logic 0 If both warning range results are logic 1 the formula result will be true logic 1 If either warning range result is logic 0 the formula result will be false logic 0 5 GAGE1 7 OR GAGE1 12 In this formula the left operand the first expression compares the measurement result from gage 1 to 7 The expression result is then ORed with the right operand the second expression which compares the gage 1 result with 12 The expression result will always be either true logic 1 or false logic 0 If either measurement result is logic 1 the formula result will be true logic 1 If both measurement results are logic 0 the formula result will be false logic 0 Definitions Formula Entry This section briefly defines the function of each formula Key Functions entry key The Using Control Keys and Using Operator and Operand Keys sections describe the use of each key in detail Digit Keys 0to9 These keys are used to enter all of the numeric values to be used in a formula Here are some limitations on entering and using constants
61. g Formula 30 Warning Flag ormula 30 ault Flag Pa Fa Ss il ss Formula 31 a Fault Flag i ormula 32 arning Flag ormula 32 ault Flag Appendix A CVIM Communications With MATH PAK A 18 Discrete Bit Inputs continued Table A 8 Backplane Toolset Toolset 1 2 22 22 286 1 1 JFormula41 0 Pa Fault Flag 1 Fail 22 286 Formula 42 0 Pass Warning Flag 1 Fail 22 286 3 3 Formula42 0 Pass Fault Flag 1 Fail 22 286 Formula 43 0 Pass Warning Flag 1 Fail 22 ormula 43 0 Pass ault Flag 1 Fail 22 286 Formula 44 0 Pass Warning Flag 1 Fail 22 286 Formula 44 0 Pass Fault Flag 1 Fail 286 2 nN N eo NJ N 0o eo N N Ng e Formula 47 0 Pass arning Flag 1 F Formula 47 0 Pass Fault Flag 1 Fail N N oo a Formula 45 0 Pass Fault Flag 1 Fail N N N N N N N o Appendix A CVM Communications With MATH PAK A 19 Discrete Bit Inputs continued Table A 8 Di ete Bi ale On j nue Bit Definition Notes Toolset PLC Formula 48 Pass Warning Flag aQ Ul M F Pass ault Flag 1 Fail ormula 48 0 Tm n Formula 49 0 Pass Warning Flag 1 ormula 49 0 ault Flag 1 N m m Formula 50 0 Pass Warning Flag 1 Fail m mn ormula 50 0 ault Flag 1 Formula 51 0 Warning Flag 1 5 ormula 51 0 Pass ault Flag 1 Formula 52 0 Pass
62. he GAGE result the formula would return a logic 0 CVIM MATH PAK Installation and Configuration T H I AA Setting Formula Name Use this function to name the current formula You can choose any name consisting of up to seven alphanumeric punctuation and miscellaneous printable characters including the space character Your Action Comments Pick the Set Names menu When you pick the Set Name menu box a keyboard box ifappropriate appears alongside the Config Results popup menu as follows Range Outputs Config Results Set Formula Popup Menu Keyboard Formula 1 Disabled The default name is always the number of the current formula In the example above itis F1 The keyboard has five function keys 1 The backspace key deletes the last character entered and moves the cursor 1 left one space 2 The Esc escape key returns to the Set Archive Names popup menu without changing the current name if any 3 The CI clear key sets the New name line to all blanks 4 The Ret return key enters the new name into the appropriate menu box in the Set Archive Names popup menu 5 The shift keys 1 select alternate keyboards by causing several of the keyboard keys to change The alphabet characters however remain the same on both keyboards 60 Setting Formula Name continued Your Action Pick ea
63. hecking for window 1 can be enabled For more information about this subject refer to the Enabling Formula heading in this manual Enable the selected tool Enable range checking for the selected tool CVIM MATH PAK Installation and Configuration Gages and Windows When either of the first two conditions is not satisfied RangelReference Disabled appears in the Range menu box in black type Popup Menu continued indicating that you cannot toggle the menu box to Enabled Thus you cannot enable range checking for the selected tool When the first two conditions are satisfied you can enable range checking for the selected tool by picking the Range menu box so that it reads Enabled Picking the menu box repeatedly causes it to toggle between Enabled and Disabled Misc Popup Menu When you pick the Misc menu box in the Main menu the Misc popup menu appears with a new menu box called Config Results Config Results Config Results eee fe Menu Box 000 eee Misc Popup Menu Registration When you pick the Config Results menu box in the Misc menu the Config Results popup menu box appears This is the menu that you use to configure MATH PAK formulas Range Outputs Set Formula IUE Config Results Formula 1 Disabled Popup Menu Jump Previous 006 eee Misc Misc Popup Menu continued CVIM MATH PAK Installation and Configuration
64. his formula uses the DST distance operator which calculates the distance between the two edges by using the Pythagorean theorem refer to the discussion of the DST operator under the DST Key heading CVIM MATH PAK Installation and Configuration gt i MATH PAK Application Examples continued In this formula operands GAGE 1 GAGE1 3 GAGE2 and GAGE2 3 function as follows GAGE 1 returns the X position of the first edge GAGEL 3 returns the Y position of the first edge e GAGE 2 returns the X position of the second edge e GAGE2 3 returns the Y position of the second edge NOTE The GAGE1 3 and GAGE2 3 operands are functional only during the run mode During the setup mode these operands always return a 0 zero The effect of the DST formula is to return the length of the hypotenuse of a right angle triangle In the present example this hypotenuse is also the distance between two sides of the object a GAGE2 X Position GAGE2 3 Y Position Object to be Measured GAGE1 X Position GAGE1 3 Y Position Note that the DST formula is functionally equivalent to the following formula SQR SQ GAGE 1 GAGE 2 SQ GAGE1 3 GAGE2 3 but it is both faster and more compact than the SQR formula Example 2 Determining Areas of Odd Shapes Using Multiple Widows Without the MATH PAK option the CVIM system would normally require using a polygon window to count pixels or objects on o
65. his keyboard entry keyboard Pick the close parenthesis This completes the MAX formula entry key er Formula MAX 12 5 89 100 a Pick the Ret return key This causes the system to display the result In this case the result is 89 which is the maximum value in the list Formula result 89 MAX 12 5 89 100 Ja Look at the message box This indicates that the CVIM system has saved the formula in the upper left corner inits memory of the screen This completes the procedure for entering and saving the MAX formula Now use the following steps to change to the MIN operator and demonstrate its operation Pick the left arrow lt key This causes the cursor A to move to the left The display repeatedly until thecursor should appear as follows ts to the right of MAX Formula MAX 12 5 89 100 Using Operator and Operand Keys continued Your Action Pick the Del delete key Pick the MIN key Pick the Ret return key Look at the message box in the upper left corner of the screen CVIM MATH PAK Installation and Configuration us MAX MIN Keys continued Comments This deletes the MAX operator and moves the cursor to the left as follows Formula 12 5 89 100 When you pick the MIN key the MIN operator appears The display should now appear as follows Formula MIN A 12 5 89 100 This causes the system t
66. ial series of inspections using a representative sample of workpieces in order to accumulate a statistical basis for setting the range limits for the formulas Comments Refer to the CVIM User s Manual Chapter 10 Runtime Operations for more details about the following steps For these trial inspection series you should have on hand a sufficiently large quantity of representative workpieces If you cannot use the actual factory floor setting to perform these trial inspections you can manually position each workpiece in front of the camera and use a manual trigger or use some type of automatic positioning and triggering mechanism that approximates the factory floor situation When you pick the Exit menu box the Exit popup menu will appear When you pick the Runtime Display menu box the Runtime Display popup menu will appear This causes the Stat Page 1 statistics table to appear on the monitor screen when you activate the run mode Stat Page 1 can be configured to display results statistics for all enabled formulas gages and windows When you pick the Runtime Init menu box the Runtime Init popup menu appears If Standard appears pick the box once to toggle to Learn This activates the learn mode during the trial inspection series and ensures the accumulation of results data for this formula in the Stat Page 1 table If 0 appears pick the box to display the calculator pad Enter 1 or higher in ord
67. ion 40 Using Operatorand DST Key continued Operand Keys continued Your Action Comments Select the second formula The DST operator is on this keyboard entry keyboard Pick the DST key When you pick the DST key the following entry appears in the upper box of the keyboard Formula DST A Pick these four keys This enters the X position of the first point in the image 100 comma field The display should now appear as follows Formula DST 100A Enter the values for Y X This enters the Y position of the first point and the X and Y and Y with commas between positions of the second point The display should now appear them 150 175 100 as follows Formula DST 100 150 175 100 Pick the close parenthesis This completes the DST formula entry key 7 Formula DST 100 150 175 100 a Pick the Ret return key This causes the system to display the result In this case the result is 90 138 which is the distance in pixels between the two points Formula result 90 138 DST 100 150 175 100 A Using Operator and Operand Keys continued Your Action Look at the message box in the upper left corner of the screen Your Action Select the second formula entry keyboard Pick the MAX key Pick these three keys 12 comma Select the first formula entry keyboard CVIM MATH PAK Installation and Configuration di DST
68. ition subtraction multiplication and division functions as shown in the following examples Addition By placing the addition operator between the following integers 52 34 the system adds the two integers and computes a result of 86 Subtraction By placing the subtraction operator between the following integers 52 34 the system subtracts the right integer from the left integer and computes a result of 18 Multiplication By placing the multiplication operator between the following integers 52 34 the system multiplies the two integers and computes a result of 1768 Division By placing the division operator between the following two integers 52 34 the system divides the left integer by the right integer and computes a result of 1 the result is truncated If one of the two numbers were fixed point the result would also be fixed point 1 529 Parenthesis Keys The parenthesis are used to enclose an arithmetic or logical expression within a formula This ensures that the formula will evaluate the contents of the expression as an entity For example in the following formula 3 6 5 the formula evaluates 6 5 first thus in this case the result is 33 6 5 30 and 30 3 33 By placing parenthesis around 3 6 3 6 5 the formula evaluates it as a single entity 3 6 9 thus in this case the result is 45 9 5 4
69. logic 1 if the logic condition is satisfied or false logic 0 if the logic condition is not satisfied NOTE From the standpoint of the discrete outputs a true logic 1 result is equivalent to a pass condition and a false logic 0 is equivalent to a fail condition Here are a few examples of how the terms operand operator and result are used within various logical formula constructions 1 GAGE1 5 In this formula the left operand the measurement result from gage 1 is compared to the right operand the constant 5 If the gage 1 result is less than 5 the formula result will be true logic 1 If the gage 1 resultis equal to or greater than 5 the formula result will be false logic 0 2 GAGE1 5 GAGE2 In this formula the left operand the measurement result from gage 1 is compared to the right operand the measurement result from gage 2 If the gage 1 resultis greater than the gage 2 result the formula result will be true logic 1 If the gage 1 result is equal to or less than the gage 2 result the formula result will be false logic 0 CVIM MATH PAK Installation and Configuration Definitions MATH PAK 3 GAGE1 GAGE2 4 Terms and Concepts continued In this formula the left operand the measurement result from gage 1 is compared to the right operand the expression in which the gage 2 measurement result is divided by 4 If the gage 1 result equals the expression result the
70. mula The MED operator is on this keyboard entry keyboard Pick the MED key When you pick the MED key the following entry appears in the upper box of the keyboard Formula MED Pick these three keys The display should now appear as follows 8 2 comma Formula MED 82 Select the first formula The unary operator is on this keyboard entry keyboard Pick the key whee you pick the key the following entry appears in the display Formula MED 82 This will negate the value that follows it CVIM MATH PAK Installation and Configuration ae Using Operator and Operand Keys continued Enter the remaining operands with a comma between each 15 3 86 2 8 Select the second formula entry keyboard Pick the close parenthesis key rp ad Pick the Ret return key Look at the message box in the upper left corner of the screen MED Key continued The display should now appear as follows Formula MED 82 15 3 86 2 8A The parenthesis keys are on this keyboard This completes the MED formula entry Formula MED 82 15 3 86 2 8 This causes the system to display the result In this case the result is 8 which is the median value in this list Formula result 8 MED 82 15 3 86 2 8 a The Formula saved message indicates that the CVIM system has saved the formula in its memory This com
71. n KALA GUN Fail Warning Ranges Formulas 9 16 25 32 41 56 in Toolset 2 A 10 Fail Warning Ranges Formulas 1 8 17 24 33 40 in Toolset 2 Discrete Bit Inputs gt gt PP PP PEPD NERANG o CVIM MATH PAK Installation and Configuration MATH PAK User Manual Objectives MATH PAK Option Definition User Experience The objectives of this manual are to introduce you to the MATH PAK option for the Allen Bradley 5370 CVIM Configurable Vision Input Module machine vision system and provide the information and procedures you need to install the MATH PAK option in your CVIM system and configure the system for mathematics applications Here are the major sections in this manual MATH PAK Option Overview describes briefly how the CVIM system handles inspection results data when using MATH PAK formulas Installing MATH PAK Option shows you how to install the MATH PAK option on your CVIM system MATH PAK Option Menu Display Changes shows you how the MATH PAK option affects the menus and display tables Configuring MATH PAK Formulas describes the mathematical and logical operators available with the MATH PAK option and shows you how to use them to construct MATH PAK formulas MATH PAK Application Examples shows you how MATH PAK formulas can be used in various combinations to solve real world application problems NOTE It is beyond the scope of this manual to show you how
72. nd subtype Equal INT FP Produces a 1 result if the left operand is equal to the right operand otherwise produces a O result Producesa 1 result if the left operand is not equal to the Noregual EEE right operand otherwise produces a O result Greater than INT FP Produces a 1 result if the left operand is greater than the right operand otherwise produces a O result Leathan INT FP Produces a 1 result if the left operand is less than the right operand otherwise produces a O result Great rlan Produces a 1 result if the left operand is greater than or INT FP equal to the right operand otherwise produces a 0 or equal result Less than or INT FP Producesa 1 result if the left operand is less than or equal Key equal to the right operand otherwise produces a 0 result Comma INT FP Used to separate the operands in a list of operands Logical AND INT FP Produces a 17 result if both the left and right operands are nonzero otherwise produces a 0 result Logical OR INT FP Produces a 1 result if either the left or right operand is nonzero otherwise produces a O result NOT Logical NOT INT FP Used to invert a logical result Result types INT integer FP fixed point INT FP either integer or fixed point Control Keys Both keyboards contain the same set of control keys whose functions are briefly des
73. nected to the chassis backplane the 1771 remote I O port the RS 232 port and the discrete output port When operating without MATH PAK formulas the CVIM system compares the results data from each tool to the tool s specific warning and fault limits Whenever the results data are above or below one of these limits the system sets a discrete bit and routes it to the assigned output Note that range limits do not apply to reference tools These tools either pass or fail according to whether they find their edge or feature If a reference tool fails the CVIM system sets a discrete bit and routes it to the assigned output Figure 1 1 shows symbolically how the CVIM system handles inspection results data when operating without using MATH PAK formulas Figure 1 1 CVIM System Without MATH PAK Formulas CVIM Inspection Inspection Results Data from One AnalysisTool Range Limit s Exceeded or Tool Failed Appropriate Fault Warning Bit s Cleared Appropriate i P To Ch Fault Warning Bit s Set o Paasa Results Data Stored To 1771 Remote in CVIM Memory O Port Bit s Sent to To RS 232 Port Assigned Output s CVIM MATH PAK Installation and Configuration MATH PAK Option When the MATH PAK option is installed in the CVIM Overview continued system you can configure formulas to perform mathematical and or logical operations on the inspection results data from one or more analysis tools The CVIM system pro
74. ng the AVG operator The procedure uses a list of six integers then changes one of them to a fixed point equivalent to demonstrate the entry of an AVG formula Comments The AVG operator is on this keyboard When you pick the AVG key the following entry appears in the upper box of the keyboard Note that the open parenthesis symbol appears with the AVG operator This enters the first operand 89 in the list The upper box should now appear as follows Formula AVG 89 A When you finish the display should appear as follows Formula AVG 89 49 36 15 20 114A CVIM MATH PAK Installation and Configuration 36 Using Operatorand AVG Key continued Operand Keys continued Your Action Comments Pick the close parenthesis This completes the AVG formula entry key ps Formula AVG 89 49 36 15 20 114 A Pick the Ret return key This causes the system to compute the average and display the result 53 in the box as follows Formula result 53 ANG 89 49 36 15 20 114 a Note that since all operands in the list are integers the result is also an integer that is the result is truncated Pick the left arrow lt key This causes the cursor to move to the left one item It should now be to the left of the close parenthesis Note that the result has disappeared Formula AVG 89 49 36 15 20 1144 Pick the Del delete key This dele
75. nition Notes Word Formula Enable 4 Fail Range Low Fraction Fail Range High Integer Words 17 and 18 represent a 16 bit 16 bit fixed point decimal value or 32 bit integer Fail Range High Fraction Fail Range Low Integer Words 19 and 20 represent a 16 bit 16 bit fixed point decimal value or 32 bit integer Words 21 and 22 represent a 16 bit 16 bit fixed point decimal value or 32 bit integer 0 15 Warning Range High Integer 0 15 Warning Range High Fraction 0 15 Warning Range Low Integer 0 15 Warning Range Low Fraction Words 23 and 24 represent a 16 bit 16 bit fixed point decimal value or 32 bit integer NN RENE NN p d ba Appendix A CVIM Communications With MATH PAK A 11 FaillWarning Ranges Table A 7 lists the fail and warning range data locations for Formulas Formulas 1 through 8 17 through 24 and 33 through 40 1 8 17 24 33 40 blocks 104 127 Refer to the following for the block number in Toolset 2 for each formula Table A 7 provides the word of the data in each block Formula 1 Block 104 Formula 21 Block 116 Formula 2 Block 105 Formula 22 Block 117 Formula 3 Block 106 Formula 23 Block 118 Formula 4 Block 107 Formula 24 Block 119 Formula 5 Block 108 Formula 33 Block 120 Formula 6 Block 109 Formula 34 Block 121 Formula 7 Block 110 Formula 35 Block 122 Formula 8 Block 111 Fo
76. o display the result In this case the resultis 100 which is the minimum value in the list Formula result 100 MIN A 12 5 89 100 The Formula saved message indicates that the CVIM system has saved the formula in its memory This completes the procedure for entering and saving the MAX or MIN formula MED Key The MED median function sorts a list of operands in ascending order then returns the value at the center position for an odd number of operands or the higher order of the two center values for an even number of operands For example in a list with an odd number of operands 82 3 86 2 43 the MED function first sorts their values in ascending order 2 3 43 82 86 then returns the center value 43 CVIM MATH PAK Installation and Configuration Using Operatorand MED Key continued Operand Keys continued In a list with an even number of operands 82 3 86 2 15 8 the MED function first sorts their values in ascending order 15 2 3 8 82 86 then returns the high order value of the two center values In the preceding list the two center values are 3 and 8 thus the high order value is 8 The basic formula takes this form MED list The following procedure shows you how to set up a formula using the MED operator The procedure uses a list of six integers to demonstrate the entry of a MED formula Your Action Comments Select the second for
77. ormula The cursor position is not important To use the Clr key just pick the key When you do all items currently entered in the formula will disappear and the box will be restored to its clear state Formula A NOTE Although the Clr key deletes the entire formula from the box it does not delete it from memory if the formula was previously saved using the return Ret key If you change your mind after picking the Clr key you can restore the entire last saved formula by picking the Esc key Using Control Keys continued CVIM MATH PAK Installation and Configuration 25 Ret Return Key The Ret return key performs two functions at the same time It performs a computation using a correctly entered formula and it stores the formula in the CVIM system s memory NOTE When you pick the Ret key a previously entered formula is overwritten To use the Ret key be sure the formula is entered correctly to the best of your knowledge then pick the Ret key Using the example under the Del key the result of the computation appears in the box as follows Formula result 2 4 a 2 At the same time a message box appearing in the upper left corner of the screen indicates that the formula has been saved in memory Formula saved At this point a previously entered formula will have been overwritten by the new formula If you pick the Ret key with an incomplete or incorrectly entered formula th
78. ormula 2 ault Flag nm Formula 3 Warning Flag ormula 3 ault Flag Tm mn Formula 4 Warning Flag N ormula 4 ault Flag o nm Formula 5 Warning Flag Appendix A CVIM Communications With MATH PAK Discrete Bit Inputs Word Backplane Toolset 1 2 kad Ba Ek Saks I Bs m continued Table A 8 ZI E W r A 2 5 7 vi nm o nm a o TuS 1m Definition ormula 5 ault Flag rmula 6 arning Flag rmula 6 ult Flag rmula 7 arning Flag ormula 7 ault Flag rmula 8 arning Flag ormula 8 ault Flag Formula 17 Warning Flag nmn ormula 17 ault Flag Formula 18 Warning Flag nm ormula 18 ault Flag Formula 19 Warning Flag mm ormula 19 ault Flag Formula 20 Warning Flag F F ormula 20 ault Flag 0 Pass 1 Fail 0 Pass 1 Fail 0 Pass 1 Fail 0 Pass 1 Fail 0 Pass 1 Fail 0 Pass 1 Fail Q Pass 1 Fail 0 Pass 1 Fail 0 Pass 1 Fail 0 Pass 1 Fail o 2o uon uon nojn f u ty Z4 wu u a 0 Pass 1 Fail 0 Pass 1 Fail 0 Pass 1 Fail Appendix A CVIM Communications With MATH PAK Discrete Bit Inputs continued Table A 8 Backplane Toolset Toolset 1 2 18 282 ormula 22 0 Pass ault Flag 1 F rmula 23 0 Pass arning Flag 1 Fail 282 2 13 15 Formula 23 0 Fault Flag 1z 18 18 282 15 1
79. p Analyze or Analyze Image menu box the process time for all enabled formulas appears after Time in the box above the Analysis popup menu The color of the tools indicates their pass warning fail status CVIM MATH PAK Installation and Configuration Exit Popup Menu When you pick the Exit menu box in the Main menu and then pick the Runtime Init menu box in the Exit popup menu the Runtime Init popup menu appears with two new menu boxes as follows Range Fail Stats Range Fail Menu Box Stat Samples 0 Disp Formulas 2 Disp Formulas Menu Box Disp Windows 5 Disp Gages 1 Me Runtime Arm ecc Exit Range Fail Menu Box The Range Fail menu box gives you two options for calculating inspection results statistics 1 Using results from all inspected parts including those that fail the range checks or 2 Using results only from parts that pass the range checks The Range Fail menu box displays either Stats or No Stats When Stats appears in the menu box statistics are based both on results that pass the range checks and those that fail When No Stats appears statistics are based only on results that pass the range checks If you pick the Range Fail menu box repeatedly it will toggle between Stats and No Stats Disp Formulas Menu Box The Disp Formulas menu box enables you to display formula results and statistics on the Result Page and Stat
80. p soo Previous Next Misc 000 ee The Range Output Setup table is the one you will use to set the range limits and assign the discrete outputs The numbers appearing in it now are the limits and outputs set previously Note that each box in the table has the three dots eee which indicates that you will need to pick each box one at a time in order to set its value The Inspection Statistics table shows results data from a series of trial inspections performed while the CVIM system ran inspections in the learn mode These numbers can help you choose the best values for the range limits Refer to the CVIM User s Manual Chapter 10 Runtime Operations for more information about this subject CVIM MATH PAK Installation and Configuration Assigning Range Limits The next steps show you how to select values for the range and Outputs continued limits NOTE The order in which these steps are presented may not be appropriate in all cases If not a message will appear that says VALUE OUT OF RANGE For example this message will appear if you try to change the upper warning range limit to a value below the lower warning range limit Your Action Comments Pick the upper box under This is the fault range upper High limit When you FAULT RANGE pick this box the calculator pad appears on the screen 5000 L 00 one 0 000 eee Inspection Statistics Table Range Output Setup Table
81. pletes the procedure for entering and saving the MED formula MOD Key The MOD mode function finds the value in a list of operands that appears most often If no value appears any more often than any other value the MOD function returns the lowest value in the list For example in the following list of operands 2 3 2 3 3 the MOD function returns 3 since it occurs more often than 2 The basic formula takes this form MOD list CVIM MATH PAK Installation and Configuration 46 AA pe ra O TT ET Using Operatorand MOD Key continued Operand Keys continued The following procedure shows you how to set up a formula using the MOD operator The procedure uses the preceding list of five integers to demonstrate the entry of a MOD formula Your Action Comments Select the second formula The MOD operator is on this keyboard entry keyboard Pick the MOD key When you pick the MOD key the following entry appears in the upper box of the keyboard Pick these two keys The display should now appear as follows 2 comma Formula MOD 2 A Enter the remaining operands The display should now appear as follows with a comma between each 2 3 3 Formula MOD 2 3 2 3 3A Pick the close parenthesis This completes the MOD formula entry key yt Formula MOD 2 3 2 3 3 Pick the Ret return key This causes the system to display the result In this case
82. r in odd shaped objects those that are not easily covered by a rectangular or elliptical window 72 MATH PAK Application Examples continued CVIM MATH PAK Installation and Configuration With the MATH PAK option however the CVIM system can perform some of these odd shape applications by using multiple windows and a MATH PAK formula Potential benefits of this method are faster operation and easier setup than polygon windows Also this method provides greater flexibility in accommodating changing applications Thus by simply adding or subtracting individual rectangular windows and changing the formula you can change the application quickly and easily The multiple window measurement can be set up by positioning a window over a workpiece wherever pixel or object counts are needed This example uses an odd shaped part fastened to a work piece with six rivets These appear as small black circular objects on the part as follows Window 4 Window 5 Window 6 Window 1 Window 2 Window 2 Workpiece The objective of this inspection is to determine whether or not the six rivets are in place Instead of a single polygon window six rectangular windows are positioned over the part as shown Each is configured to count black objects The MATH PAK formula looks like this WIN1 WIN WIN3 WIN4 WIN5 WING The formula sums the black object count from the six windows Since the correct count from ea
83. rand The basic formula takes this form SQ value The following procedure shows you how to set up a formula using the SQ operator Your Action Comments Select the second formula The SQ operator is on this keyboard entry keyboard Pick theSQ key When you pick the SQ key the following entry appears in the upper box of the keyboard Formula SQ A Pick these two keys The display should now appear as follows 1 2 Formula Q 12A Pick the close parenthesis This completes the SQ formula entry Formula Q 12 a Pick the Ret return key This causes the system to display the result In this case the result is 144 which is the square of 12 Formula result 144 Q 12 A CVIM MATH PAK Installation and Configuration D Using Operatorand SQ Key continued Operand Keys continued Your Action Comments Look at the message box The Formula saved message indicates that the CVIM in the upper left corner system has saved the formula in its memory of the screen This completes the procedure for entering and saving the SQ formula TAN Key The TAN tangent function computes the tangent of an angle where the angle is stated in degrees The tangent of an unknown angle in a right angle triangle is the ratio between the side opposite the angle and the side adjacent to the angle Line gt Hypotenuse Y Side opposite 9 Tangent of 0 Side Y Sid
84. rator and Operand Keys continued Select the second formula entry keyboard Pick the VAR key VAR Key The VAR variance function computes the variance of a list of operands The variance is equal to the sum of the square of the difference between the value of each operand and the average value of all operands divided by the number of operands in the list Using the following list of operands 5 8 10 the VAR function processes the list as follows 1 It computes the average value of all operands Thus 5 8 10 23 and 23 3 7 667 the average value of the three operands 2 It computes the difference between the value of each operand and the list average 7 667 then computes the square of each difference as follows 5 7 667 2 667 2 667 x 2 667 7 113 8 7 667 0 333 0 333 X 0 333 0 111 10 7 667 2 333 2 333 X 2 333 5 443 3 It computes the average of the squared differences as follows 7 113 0 111 5 443 12 667 12 667 3 4 222 Thus the variance is 4 222 In a MATH PAK formula the VAR operator requires two or more operands The basic formula takes this form VAR list The following procedure shows you how to set up a formula using the VAR operator The procedure uses the preceding list of integers to demonstrate the entry of a VAR formula The VAR operator is on this keyboard When you pick the VAR key the following entry appears in the upper box of the keyboard
85. rean theorem The square of the hypotenuse of a right angle triangle is equal to the sum of the squares of the two sides Thus to find the distance between two points in the image field the hypotenuse of a right angle triangle the DST function squares the distance along the X axis one side of the triangle and the Y axis the other side of the triangle then computes the square root of the sum of the two squares For example if the first point has an X position of 100 pixels and a Y position of 150 pixels and the second point has an X position of 175 pixels and a Y position of 100 the distance between these points is equal to the square root of the sum of the squared distance along the X axis and the squared distance along the Y axis as follows Point 2 X position 100 m Y iti 1 X position 175 a pa Y position 100 e Distance Point 1 between points Distance e Point 2 V of 752 50 V of 8125 90 14 Side Y 50 Point 1 Side X 75 In a MATH PAK formula the DST operator requires four operands The basic formula takes this form DST X Y X Y In the formula operands X and Y are the coordinates of Point 1 in the illustration above operands X and Y are the coordinates of Point 2 The following procedure shows you how to set up a formula using the DST operator The procedure follows the example above to demonstrate the entry of a DST formula CVIM MATH PAK Installation and Configurat
86. result from GAGE2 is 3 By placing the AND operator between GAGE1 and GAGE2 GAGE1 AND GAGE2 the formula will return a logic 1 result since both values are nonzero If either value were zero or if both values were zero the formula would return a logic 0 result Using Operator and Operand Keys continued CVIM MATH PAK Installation and Configuration 27 Logic Operator Keys continued OR Assume that the inspection result from GAGE1 is 0 and the result from GAGE2 is 3 If you place the OR operator between GAGE1 and GAGE2 GAGE1 OR GAGE2 the formula will return a logic 1 result since at least one value is nonzero If both values were zero the formula would return a logic 0 result NOT The not operator NOT is used with expressions containing other logic operators Its effect is to invert the normal logic result For example if the normal result of an AND operation were a logic 1 the NOT operator will invert it to a logic 0 Assume that the inspection result from WIN1 is 400 and the result from WIN is 500 Assume further that these tools are ANDed in a formula If you place the NOT operator ahead of the AND expression NOT WIN1 AND WIN2 the formula will return a logic 0 In this case since both values are nonzero the normal AND operation result is a logic 1 however the NOT operator inverts the result to a logic 0 The
87. rmula 36 Block 123 Formula 17 Block 112 Formula 37 Block 124 Formula 18 Block 113 Formula 38 Block 125 Formula 19 Block 114 Formula 39 Block 126 Formula 20 Block 115 Formula 40 Block 127 Table A 7 Configuration Blocks 104 127 Fail Warning Ranges TS2 Formula Enable 1 Enable Fail Range High Integer Remote I O amp RS 232 Words 28 EN 29 represent a 16 bit 16 bit fixed point decimal value or 32 bit integer Fail Range High Fraction Fail Range Low Integer Words 30 and 31 represent a 16 bit 16 bit fixed point decimal value or 32 bit integer Fail Range Low Fraction Warning Range High Words 32 and 33 represent a Integer 16 bit 16 bit fixed point decimal value or 32 bit integer Warning Range High Fraction Warning Range Low Integer Words 34 and 35 represent a 16 bit 16 bit fixed point decimal value or 32 bit integer Warning Range Low Fraction Discrete Bit Inputs ka 1 2 7 81 Appendix A cvim Communications With MATH PAK When formulas are enabled the Warning and Fault flags apply to the corresponding formula The formula bits only take the place of the toolset bits if a formula is enabled Table A 8 lists the location of the formula warning and fault bits Table A 8 aD ete Bitin Bit Definition P Formula 1 Warning Flag B A ormula 1 ault Flag nm Formula 2 Warning Flag
88. rst step is to find AY and AX For this purpose two linear gages are configured for the Y Position gagin operation and positioned vertically across line AB as follows Gage 2 Line AB Y position 120 Gage 1 4 Xposition 320 Side Y 260 130 Y position X position Note that the Y position returned by Gage 1 is 260 pixels and the Y position returned by Gage 2 is 120 The difference or delta A is 140 since Y has moved from 260 to 140 Note also that each gage can return the second position in this case the X position The X position returned by Gage 1 is 130 pixels and the X position returned by Gage 2 is 320 12 uii or delta A is 190 since X has moved from to 32 Using Operator and Operand Keys continued Your Action Select the second formula entry keyboard Pick the ATN key CVIM MATH PAK Installation and Configuration ATN Key continued By altering the basic formula to compute AY and AX from the differences in the two X and two Y positions the formula looks like this ATN GAGE2 GAGE 1 GAGE 2 3 GAGE 1 3 In this formula GAGE2 GAGE 1 returns AY and GAGE 2 3 GAGE 1 3 returns AX The AY value is 140 and the AX value is 190 In general the signs of AY and AX relate to the quadrant in which the angle lies as follows 90 180 90 Since AY is negative and AX is positive in this example the ATN function calculates
89. some ideas about the types of CVIM inspection application problems that you can solve with MATH PAK formulas Example 1 Replacing Linear Measurement Gages with Positional Gages Without the MATH PAK option an inspection application normally uses a single linear gage to perform a distance measurement With the MATH PAK option however some applications could perform the same measurement using two positional line gages and MATH PAK formula A potential benefit of this method is faster measurement particularly when the gaging mode is gray scale and the measurement crosses most of the image field The two gage measurement can be set up by positioning two linear gages each configured for either X or Y position operation across the two edges on the object where the measurement is to be made This example compares the single gage method to the two gage and formula method The gages are positioned across the object as shown in the following illustration Gage 1 Linear Gaging Edge 1 Edge 1 gt Objectto ba 4 Edge 2 Measured PA Gage 2 X Position Gage 3 X Position Note that the measurement edges of the object are parallel to each other In the single gage method gage 1 measures the distance between edge 1 and 2 of the object In the two gage method gages 2 and 3 return the X positions for edges 1 and 2 respectively The formula then calculates the distance between edge 1 and 2 b
90. tes integer 114 and moves the cursor to the right of the last comma Formula AVG 89 49 36 15 20 Pick these five keys This reenters 114 as a fixed point number 114 0 114 decimal O Formula AVG 89 49 36 15 20 114 0 Using Operator and Operand Keys continued Your Action Pick the Ret return key Look at the message box in the upper left corner of the screen CVIM MATH PAK Installation and Configuration pa AVG Key continued Comments This causes the system to recompute the average and display the result 53 833 as a fixed point number Note that the result has three digits to the right of the decimal point and the number 114 0 now has two additional zeros Formula result 53 833 AVG 89 49 36 15 20 114 000A The Formula saved message indicates that the CVIM system has saved the formula in its memory This completes the procedure for entering and saving the AVG formula COS Key The COS cosine function computes the cosine of an angle where the angle is stated in degrees The cosine of an unknown angle in a right angle triangle is the ratio between the side adjacent to the angle and the hypotenuse Line Hypotenuse Cosine of 0 Side X Hypotenuse X Side adjacent to 9 In a MATH PAK formula the COS operator requires one operand The basic formula takes this form COS angle in degrees The following proce
91. the result is 3 which is the mode value in this list Formula result 3 MOD 2 3 2 3 3 CVIM MATH PAK Installation and Configuration T w sn H J Y yy Using Operator and MOD Key continued Operand Keys continued Look at the message box The Formula saved message indicates that the CVIM in the upper left corner system has saved the formula in its memory of the screen This completes the procedure for entering and saving the MOD formula SIN Key The SIN sine function computes the sine of an angle where the angle is stated in degrees The sine of an unknown angle in a right angle triangle is the ratio between the side opposite the angle and the hypotenuse Line Hypotenuse X Side opposite 9 Sine of Side X Hypotenuse In a MATH PAK formula the SIN operator requires one operand The basic formula takes this form SIN angle in degrees The following procedure shows you how to set up a formula using the SIN operator The procedure uses a positive angle stated in degrees to demonstrate the entry of a SIN formula Your Action Comments Select the second formula The SIN operator is on this keyboard entry keyboard Pick the SIN key When you pick the SIN key the following entry appears in the upper box of the keyboard Formul
92. tion Assigning Range Limits and Outputs Range Limits the term range limit as it applies to a MATH PAK formula refers to a formula result above or below which the CVIM system might not or cannot successfully perform an inspection In general range limits specify the upper and lower boundaries of acceptable inspection results The CVIM system provides two sets of range limits warning range limits and fault range limits Warning range limits must always lie at or within fault range limits The two sets of range limits have this relationship LF lt LW lt NOMINAL lt UW lt UF The NOMINAL value refers to a desired middle of the range value LW and UW are the lower and upper warning limits LF and UF are the lower and upper fault limits Here is a general example using a nominal value of 100 to demonstrate the concept The LW value lower warning limit could be set to 95 The UW value upper warning limit could be set to 105 The LF value lower fault limit could be set to 90 The UF value upper fault limit could be set to 110 During an inspection if the formula result goes outside either warning limit the CVIM system will generate a warning signal If the formula result goes outside both a warning limit and a fault limit the CVIM system will generate a warning signal and a fault signal In a practical application a warning signal can function as an early indication of a deteriorating condi
93. tion A fault signal can indicate a hard failure such as a broken part In each case the signal that results when a range limit is exceeded can be used to alert operations personnel to fix the problem Outputs the term outputs refers to the 14 discrete outputs that you can configure to carry various signals to your production equipment Of these signals the results signals indicate whether or not any of the warning and or fault range limits have been exceeded The CVIM User s Manual Catalog No 5370 ND001 Chapter 4 Operating Environment shows you how to assign signal functions to the discrete outputs In this section you can select warning and fault limits for your formula results and assign them to any of the discrete outputs that you designated earlier for results outputs CVIM MATH PAK Installation and Configuration PA Assigning Range Limits and Outputs continued Your Action Prepare to run a series of trial inspections Pick the Exit menu box in the Main Configuration menu Pick the Runtime Display menu box in the Exit menu Pick the Stat Page 1 menu box in the Runtime Display menu Pick the Runtime Init menu box in the Exit menu Look at the Mode menu box in the Runtime Init menu Look at the Disp Formulas menu box in the Runtime Init menu Look at the Stat Samples menu box in the Runtime Init menu The following steps describe a procedure for performing a tr
94. to configure the CVIM system for specific MATH PAK applications Appendix A provides information needed to access MATH PAK results data using the CVIM communication ports This information supplements the CVIM Communications Manual Catalog No 5370 ND002 MATH PAK is an option that enables your CVIM system to perform mathematical and or logical operations using formulas that you specify on results data from any of CVIM s analysis tools Your inspection application can use results data from these operations instead of or in addition to results data from individual analysis tools according to your specific requirements Before using MATH PAK you should be familiar with the CVIM system and its configuration procedures The CVIM User s Manual Catalog No 5370 ND001 provides detailed information about the system s configuration and operation procedures Chapters 9 and 10 are particularly relevant to MATH PAK configuration and operation If your application uses the CVIM communications ports on the chassis backplane and or front panel refer also to the CVIM Communications Manual Catalog No 5370 ND002 CVIM MATH PAK Installation and Configuration MATH PAK Option Following each inspection the CVIM system stores in its Overview memory the inspection results data from each enabled analysis tool light probe reference tools gages and windows These data are available until overwritten by the next inspection to devices con
95. type meaning that you cannot pick them Only the Set Formula menu box is accessible at this time CVIM MATH PAK Installation and Configuration 14 Configuring MATH PAK Formulas continued Your Action Comments Look attheFormula The Formula menu box shows the selected formula number menu box and its current status Disabled or Enabled If the current formula number is not the one you want select the desired formula number by using the Previous or Next function and or the Jump function as follows Pick the Next menu boxto Pick the Next menu box once for each increment in the select the next higher formula number formula number or Pick the Previous menu box Pick the Previous menu box once for each decrement in the to select the next lower formula number formula number or Pick the Jump menu box When you pick the Jump menu box a calculator pad appears on the monitor screen as follows Config Results ae t ee oe Analysis ecc coo Registration Pick each digit ofthenew As you pick each digit it appears in the calculator display formula number Pick the Enter key When you pick the Enter key the new formula number in the calculator display appears in the Formula menu box This means that the new formula number has been selected CVIM MATH PAK Installation and Configuration Configuring MATH PAK Formulas continued Your Action Comments Pick th
96. w 14 Value 366 367 14 15 15 Formula 23 Results Window 15 Value Toolset 1 e e e o o o o e un Ui Un wn Ww 100 101 102 103 104 105 106 107 2 3 4 5 6 7 368 369 16 17 15 Formula 24 Results Window 16 Value 370 371 Formula 25 Results Gage 9 Value 372 373 20 21 0 15 Formula 26 Results Gage 10 Value 108 109 110 111 374 375 22 23 15 Formula 27 Results Gage 11 Value 376 377 24 25 0 15 Formula 28 Results Gage 12 Value 378 379 26 27 15 Formula 29 Results Gage 13 Value 380 381 28 29 15 Formula 30 Results Gage 14 Value 382 383 30 31 0 15 Formula 31 Results Gage 15 Value B 112 113 114 115 116 117 e o 118 119 Appendix A VIM Communications With MATH PAK Location of Formula Results continued Table A 2 Word Bit Backplane Toolset Toolset 1 2 120 121 384 385 32 33 Formula 32 Results Gage 16 Value 122 123 386 387 34 35 10 15 Formula 33 Results Window 17 Value 124 125 388 389 36 37 Formula 34 Results Window 18 Value 126 127 390 391 38 39 0 15 Formula 35 Results Window 19 Value Definition With MATH PAK without MATH PAK o 128 129 392 393 15 Formula 36 Results Window 20 Value 130 131 394 395 42 43 0 15 Formula 37 Results Window 21 Value 132 133 396 397 44 45 10 15 Formula 38 Results Window 22 Value 134 135 398 39
97. y subtracting the gage 2 X position from the gage 3 X position 70 CVIM MATH PAK Installation and Configuration MATH PAK Application Examples continued Here are two example formulas that use the X position results from gages 2 and 3 to calculate the distance between edges 1 and 2 1 GAGE 3 GAGE 2 This formula produces a positive result since gage 2 is to the right of gage 1 and the X position values increase from left to right 0 to 511 pixels 2 ABS GAGE 2 GAGE 3 This formula does not depend on gage 2 being to the right of gage 1 In the expression GAGE 2 GAGE 3 the result of the subtraction is a negative number however the ABS operator causes the formula to return the absolute value of the difference between the two gages In some cases a measurement must be made that is neither horizontal nor vertical such as measuring the distance between edges 1 and 2 on the following object lt Gage 2 Edge 2 Object to be Measured Gage 1 Edge 1 The two position gages can still be used but the formula will be more complex since it must take into account the Y axis component of the measurement distance in addition to the X axis component Here is an example formula that uses both the X axis and Y axis results from gages 1 and 2 to calculate the distance between edges 1 and 2 in the above illustration 3 DST GAGE 1 GAGE 1 3 GAGE2 GAGE2 3 T

5370-ND005, Bulletin 5370 CVIM MATH

Contents

Download Pdf Manuals

Related Search

Related Contents