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HP 35s Scientific manual Program Lines Description RPN mode, 14-8Programming Techniques

Models: 35s Scientific

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Keys:Display:

In RPN mode ÕÕ(<) 

In ALG mode ÕÕ(<) 

Example:

The "Normal and Inverse–Normal Distributions" program in chapter 16 uses the x<y? conditional in routine T:

Program Lines:	Description
(In RPN mode)
.
.
.
 	Calculates the correction for X guess.
  	Adds the correction to yield a new X guess.
 
 
 <	Tests to see if the correction is significant.
  	Goes back to start of loop if correction is significant.
	Continues if correction is not significant.
  
  	Displays the calculated value of X.
.
.
.

Line T009 calculates the correction for Xguess. Line T013 compares the absolute value of the calculated correction with 0.0001. If the value is less than 0.0001 ("Do If True"), the program executes line T014; if the value is equal to or greater than 0.0001, the program skips to line T015.

14-8Programming Techniques

Image 218

HP 35s Scientific manual Program Lines Description RPN mode, 14-8Programming Techniques

Contents

HP 35s scientific calculator Users guidePrinting History Contents Storing Data into Variables Viewing a Variable ContentsRPN The Automatic Memory Stack Trigonometry Entering π Real-Number FunctionsQuotient and Remainder of Division Hyperbolic FunctionsFractions Entering and Evaluating EquationsOperations with Complex Numbers Solving EquationsIntegrating Equations Vector Arithmetic 10-110-7 Base Conversions and Arithmetic and Logic 11-1Statistical Operations 12-1 Creating Vectors from Variables or Registers 10-8Part 2. Programming Simple Programming 13-1Programming Techniques 14-1 Solving and Integrating Programs 15-1 Support, Batteries, and ServicePart 3. Appendixes and Reference Statistics Programs 16-1More about Solving User Memory and the StackALG Summary Messages Operation Index Round-Off ErrorMore about Integration How the Integral Is EvaluatedContents Part Page Important Preliminaries Adjusting Display ContrastGetting Started Turning the Calculator On and Off2Getting Started Highlights of the Keyboard and DisplayShifted Keys Function Key Alpha KeysCursor Keys Left-shifted function Right-shifted Letter for alphabeticKeys for Clearing  Clear or CancelBackspacing and Clearing 4Getting StartedKey Description Clear menu      HP 35s Menus Chapter Name Using Menusˆ ˆ    6Getting StartedProgramming Instructions Other functions Exiting Menusor  8Keys Display RPN and ALG Modes KeysDisplayRPN mode ALG mode 10Getting StartedUndo key Annunciators Display and AnnunciatorsFirst Line Second Line 12Getting StartedHP 35s Annunciators Meaning Chapter EQN14Getting Started Exponents of Ten Keying in NumbersMaking Numbers Negative 16Getting Started z  Understanding Entry CursorRange of Numbers and Overflow 18Getting Started Performing Arithmetic CalculationsSingle Argument or Unary Operations Key RPN,RPN Program ALG, Equation, ALG Program Two Argument or Binary Operations   ÕControlling the Display Format Key RPN, RPN Program ALG, Equation, ALG Program22Getting Started Periods and Commas in Numbers   8 Complex number display format  ,  , 8 24Getting Started8× SHOWing Full 12-Digit Precision8   26Getting Started FractionsEntering Fractions  É Messages 28Getting Started Calculator MemoryChecking Available Memory Clearing All of Memory 30Getting Started RPN The Automatic Memory Stack RPN The Automatic Memory StackWhat the Stack Is 2RPN The Automatic Memory Stack Reviewing the Stack X and Y-Registers are in the DisplayClearing the X-Register 4RPN The Automatic Memory Stack Exchanging the X- and Y-Registers in the StackPress  Arithmetic How the Stack Does It How Enter Works 6RPN The Automatic Memory StackHow to Clear the Stack Filling the stack with a constantLast X Register 8RPN The Automatic Memory StackCorrecting Mistakes with Last  Reusing Numbers with Last Ù    Chain Calculations in RPN ModeWork from the Parentheses Out    ExercisesOrder of Calculation     More Exercises      18RPN The Automatic Memory Stack Storing Data into Variables AKeys DisplayDescription Press letter-key  Storing and Recalling Numbers2Storing Data into Variables Press letter-key   AG  VAR catalog Using the MEM CatalogViewing a Variable 4Storing Data into VariablesC D E6Storing Data into Variables Arithmetic with Stored VariablesStorage Arithmetic Storage arithmetic uses , , , or Recall Arithmetic D Exchanging x with Any Variable D EA Variables I and J 10Storing Data into Variables Exponential and Logarithmic Functions Real-Number Functions  Power FunctionsQuotient and Remainder of Division  Trigonometry Entering πOption Description Annunciator Setting the Angular ModeTrigonometric Functions 4Real-Number Functions  Hyperbolic Functions Percentage Functions    8Real-Number Functions Physics ConstantsConst Menu Items Description Value Items Description Value 10Real-Number Functions Conversion FunctionsRectangular/Polar Conversions 30o 12Real-Number Functions 86  Time ConversionsAngle Conversions Unit Conversions Gamma Probability FunctionsFactorial Probability16Real-Number Functions  Fractional part Parts of NumbersInteger part Absolute value18Real-Number Functions To calculatePressDisplay   FractionsEntering Fractions 2Fractions Fractions in the DisplayDisplay Rules Accuracy Indicators Entered Value Internal Value Displayed Fraction4Fractions Setting the Maximum DenominatorChanging the Fraction Display  Choosing a Fraction Format 6Fractions  j To Get This Fraction Format Change These FlagsRounding Fractions Examples of Fraction DisplaysFractions in Equations Fractions in Programs 10FractionsEntering and Evaluating Equations Entering and Evaluating EquationsHow You Can Use Equations = .25 π d2 lValue      D 2Entering and Evaluating Equations Summary of Equation Operations Key Operation4Entering and Evaluating Equations Entering Equations into the Equation ListVariables in Equations Numbers in Equations Functions in Equations  Displaying and Selecting EquationsParentheses in Equations Ö  Editing and Clearing Equations 8Entering and Evaluating EquationsTypes of Equations Evaluating Equations 10Entering and Evaluating EquationsUsing Enter for Evaluation Type of Equation Result for  Result for 12Entering and Evaluating Equations Using XEQ for Evaluation       Responding to Equation Prompts 14Entering and Evaluating Equations Syntax of EquationsOperator Precedence Order Operation Example Equations MeaningΣxy Equation Functions16Entering and Evaluating Equations RPN Operation Equation function Perimeter = a + b + h sin1θ + sin1φ18Entering and Evaluating Equations Area = Õ Syntax ErrorsVerifying Equations 20Entering and Evaluating Equations Solving Equations Solving EquationsSolving an Equation Markup ⋅ Cost = Price2Solving Equations = v0 t + 1/2 g tG   P      P   Solving built-in Equation 6Solving Equations Understanding and Controlling SolveVerifying the Result 8Solving Equations Interrupting a Solve CalculationChoosing Initial Guesses for Solve Solving Equations Type in the equation 10Solving Equations= 40 H ⋅ 20 H ⋅ 4 ⋅ H EquationH  value 4H   For More Information 12Solving EquationsIntegrating Equations Integrating EquationsIntegrating Equations FN 2Integrating EquationsJ0 x = π 0 cosx sin t dt  4Integrating Equations = t X SinxX  Interpreting Accuracy Accuracy of IntegrationSpecifying Accuracy 6Integrating Equations8        8 8Integrating EquationsOperations with Complex Numbers Form 2Operations with Complex Numbers Complex StackComplex Operations Functions for One Complex Number, z To Calculate Press Display Description 8  68  6 6 6 4Operations with Complex NumbersUsing Complex Numbers in Polar Notation ?  ?  ?  6Operations with Complex NumbersComplex Numbers in Equations 6 ? ?   Program lines ALG modeComplex Number in Program       Vector Arithmetic Vector ArithmeticVector operations  Õ 3   Absolute value of the vector  3 3 3 Dot product   10-4Vector Arithmetic  Angle between vectors Õ 3  10-6Vector Arithmetic Vectors in Equations3   Vectors in Programs Program lines Description10-8Vector Arithmetic Creating Vectors from Variables or RegistersThen hC Õ hA Menu label Description Base Conversions and Arithmetic and LogicBase Menu Base Conversions and Arithmetic and Logic11-2Base Conversions and Arithmetic and Logic    Õ  11-4Base Conversions and Arithmetic and Logic Arithmetic in Bases 2, 8,Logic Menu           Representation of NumbersNegative Numbers Range of Numbers  Using base in program and equationsWindows for Long Binary Numbers   Statistical Operations Statistical OperationsEntering Statistical Data Entering Two-Variable Data Correcting Errors in Data EntryEntering One-Variable Data 12-2Statistical Operations  Initial x, y Corrected x, yStatistics Menus Statistical CalculationsMean Menu Key Description    Sample Standard Deviation    Population Standard Deviation Linear Regression12-8Statistical Operations  ˆ Õ ˆLinear Regression Menu       12-10Statistical Operations Limitations on Precision of Data Summation Values and the Statistics Registers Summation StatisticsAccess to the Statistics Registers 12-12Statistical OperationsStatistical Operations 12-14Statistical Operations Programming Page Simple Programming Simple ProgrammingArea = πx2 13-2Simple Programming Designing a Program Selecting a ModeKeysDisplay In ALG mode  X 13-4Simple Programming Using RPN, ALG and Equations in ProgramsProgram Boundaries LBL and RTN  letter-keyData Input and Output Strengths of RPN OperationsEntering a Program 13-6Simple ProgrammingClear functions and backspace key 13-8Simple Programming Function Names in ProgramsA R RPN modeE  R  Running a ProgramExecuting a Program XEQ 13-10Simple Programming Testing a ProgramKeys Display Description RPN mode Entering and Displaying Data 13-12Simple ProgrammingUsing Input for Entering Data RPN mode ALG mode13-14Simple Programming Using View for Displaying Data 13-16Simple Programming Using Equations to Display Messages  ÇR ÇH  V OL  A RE A   Keys RPN mode R H V  R R H   V  S    13-18Simple Programming Displaying Information without Stopping  C  valueProgramming a Stop or Pause STOP, PSE Error StopsStopping or Interrupting a Program Interrupting a Running ProgramEditing a Program 13-20Simple ProgrammingProgram Memory Viewing Program Memory13-22Simple Programming Memory UsageCatalog of Programs MEM Clearing One or More Programs Checksum Nonprogrammable FunctionsProgramming with Base  Numbers Entered in Program Lines Selecting a Base Mode in a ProgramDecimal mode set Ax4 + Bx3 + Cx2 + Dx + E Polynomial Expressions and Horners Method13-26Simple Programming   A X     A 13-28Simple Programming Calling Subroutines XEQ, RTN Programming TechniquesRoutines in Programs Programming TechniquesNested Subroutines 14-2Programming TechniquesA2 + b2 + c2 + d2 A2 + B2 Branching GTO14-4Programming Techniques Using GTO from the Keyboard Programmed GTO InstructionConditional Instructions 14-6Programming TechniquesTests of Comparison x?y, x?0 Test MenusProgram Lines Description RPN mode 14-8Programming TechniquesFlags Meanings of Flags14-10Programming Techniques Flag Fraction-Control FlagsClear Programming Techniques Flags Menu 14-12Programming Techniques… takes the natural log of the X-input S  value   value  14-14Programming Techniques Number 14-16Programming Techniques LoopsF      Conditional Loops GTO Loops with Counters DSE, ISG 14-18Programming TechniquesProgramming Techniques 14-20Programming Techniques Indirectly Addressing Variables and LabelsVariables I and J Indirect Address, I and J If I/J contains Then I/J will address 14-22Programming TechniquesUnnamed indirect variables Program Control with I/JEquations with I/J 14-24Programming Techniques Solving and Integrating Programs Solving and Integrating ProgramsSolving a Program 15-2Solving and Integrating Programs V= N x R x TG Keys Display Description ALG modeProgram Lines Description ALG mode P  value   valueH      LP   label  variable Using Solve in a Program15-6Solving and Integrating Programs Program Lines In RPN mode Integrating a Program15-8Solving and Integrating Programs  S   X Sin label   variable Using Integration in a Program15-10Solving and Integrating Programs Restrictions on Solving and Integrating 15-12Solving and Integrating Programs Statistics Programs Statistics ProgramsCurve Fitting = B + MIn 16-2Statistics ProgramsProgram Listing 16-4Statistics Programs    16-6Statistics Programs Determines if D001 or B001 should be run 16-8Statistics Programs S           Logarithmic Exponential PowerNormal and Inverse-Normal Distributions Qx = 0.5 − σ 12π xx e−x −x ⎟σ 2 ⎟2dx 16-12Statistics ProgramsThis routine initializes the normal distribution program Program Lines 16-14Statistics ProgramsProgram Lines To the inverse S 16-16Statistics Programs ProgramD  ∑ x f Grouped Standard Deviation16-18Statistics Programs   16-20Statistics Programs Register Summation Σ f Summation Σ x i f Index variable used to indirectly address the correctStatistics register    U   16-24Statistics Programs Miscellaneous Programs and Equations Miscellaneous Programs and EquationsTime Value of Money TVM equation isI P4 NÕI 17-4Miscellaneous Programs and Equations KeysDisplay In RPN mode    P  value   I 17-6Miscellaneous Programs and EquationsPrime Number Generator  17-8Miscellaneous Programs and Equations Tests to see whether all possible factors have been tried   17-10Miscellaneous Programs and EquationsCross Product in Vectors 17-12Miscellaneous Programs and Equations z 17-14Miscellaneous Programs and Equations Appendixes and Reference Page Calculator Support Support, Batteries, and ServiceSupport, Batteries, and Service A-1 Answers to Common Questions2Support, Batteries, and Service Environmental LimitsSupport, Batteries, and Service A-3 Changing the BatteriesTesting Calculator Operation 4Support, Batteries, and ServiceSupport, Batteries, and Service A-5 Self-Test6Support, Batteries, and Service Warranty Support, Batteries, and Service A-78Support, Batteries, and Service Customer SupportSupport, Batteries, and Service A-9 Emea10Support, Batteries, and Service Support, Batteries, and Service A-11 Invent12Support, Batteries, and Service Support, Batteries, and Service A-13 Yyyy+14Support, Batteries, and Service User Memory and the Stack B-1 User Memory and the StackManaging Calculator Memory Resetting the Calculator 2User Memory and the StackClearing Memory User Memory and the Stack B-3Category DefaultStatus of Stack Lift 4User Memory and the StackUser Memory and the Stack B-5 Disabling OperationsNeutral Operations 6User Memory and the Stack Status of the Last X Registerˆ ˆ Accessing Stack Register Contents 8User Memory and the Stack , ALG SummaryAbout ALG ALG Summary C-1Doing Two argument Arithmetic in ALG Simple ArithmeticPower Functions Percentage CalculationsQuotient and Remainder Of Division Parentheses CalculationsPermutations and Combinations xÕ 4 Õ Trigonometric Functions Hyperbolic functionsReviewing the Stack ALG Summary C-78ALG Summary Integrating an EquationOperations with Complex Numbers 6 ALG Summary C-9 8Ë4 66 6Õ4 6Entering Statistical Two-Variable Data 12ALG Summary z ΣZ6   ˆ Õ ˆ ALG Summary C-1314ALG Summary More about Solving D-1 More about SolvingHow Solve Finds a Root 2More about Solving Function Whose Roots Can Be FoundInterpreting Results More about Solving D-3X X  X X  4More about SolvingX  XX 6More about Solving XÕ  X Õ  X  X4 More about Solving D-78More about Solving When Solve Cannot Find a Root X   More about Solving D-9  X   X  X   10More about SolvingX4 X ÕÕ More about Solving D-11X   12More about SolvingMore about Solving D-13 Round-Off Error X   14More about Solving More about Integration More about IntegrationHow the Integral Is Evaluated Conditions That Could Cause Incorrect Results 2More about Integration∞ xe−xdx   4More about IntegrationMore about Integration 6More about Integration Conditions That Prolong Calculation Time  8More about Integration More about Integration 10More about Integration Messages Messages F-12Messages Or program. This might take a whileMessages F-3 4Messages    Solve include EQN and PGM modecannot findFN each uses a level, they can also generate this error Messages F-56Messages Operation Index G-1 Operation IndexName Keys and Description 2Operation Index ×Ø Operation Index G-3 = 4Operation IndexOperation Index G-5  Denominator6Operation Index label Operation Index G-7Natural exponential  Fractional part8Operation Index  Input variable variable Operation Index G-9  Integer part ISG variable variableLBL label label 10Operation Index Natural logarithm Pause Operation Index G-11RCL variable Degrees to radians. Returns 2π/36012Operation Index Operation Index G-13 View variable variable 14Operation IndexHyperbolic Tangent XEQ label labelÕ≤ ÕÕ≠ Operation Index G-1514-7 Menu ≠0? 16Operation Index=y? 11-4Power Operation Index G-1718Operation Index Index Index-1Index-2 Index-3 EQN List TOP 6-7, F-2Index-4 Index-5 Index-6 Index-7 Index-8 Index-9 Index-10 Index-11 Angle between two vectorsIndex-12