Licensing and acknowledgments  How to use this manual I  Getting Started 1 Getting Acquainted with SpicyRPN 1.1  What the calculator provides 1.2  Multiple precision in everyday use 1.3  Installation and first launch 1.4  A tour of the display 1.5  Scientific and Financial keyboard panels 1.6  Orange and blue shift functions 1.7  Choosing RPN or ALG 1.8  Flags and pending operations 1.9  Help, keyboard input, and accessibility 1.10  Your work is saved automatically 2 The SpicyRPN Stack 2.1  Where the numbers wait 2.2  Prepare a known starting state 2.3  Entering a number and pressing ENTER 2.4  Lift, drop, and the deepest register 2.5  Functions and operand order 2.6  Inspecting every register 2.7  Swapping, rolling, and dropping 2.8  Clearing X or clearing the stack 2.9  Recovering operands with LAST X and LAST Y 2.10  Choosing the stack depth 2.11  Arriving from another RPN calculator 3 First Calculations in RPN 3.1  Prepare a known starting state 3.2  Enter numbers, signs, and exponents 3.3  Add, subtract, multiply, and divide 3.4  Squares, roots, reciprocals, and powers 3.5  Continue from a result 3.6  Keep two intermediate results on the stack 3.7  Use the percentage keys 3.8  Correct an entry or recover operands 3.9  A short practice set 3.10  Where to go next 4 Calculations in ALG Mode 4.1  Entering and evaluating an expression 4.2  Precedence and parentheses 4.3  Powers and negative operands 4.4  Implicit multiplication 4.5  Functions before and after an operand 4.6  FUNC and multiple arguments 4.7  Editing an unfinished expression 4.8  ANS, continuation, and ordinary memory 4.9  Clearing and recovering from an error 4.10  Switching workspaces and choosing available functions 4.11  Financial assignments and explicit computation 4.12  Working with labeled worksheets II  Everyday and Scientific Use 5 Numbers, Precision, and the Display 5.1  Three meanings of precision 5.2  Setting working and display digits with PREC 5.3  Fixed, scientific, and engineering notation 5.4  Setting FIX in each entry mode 5.5  Reading long numbers 5.6  Display rounding and value rounding 5.7  Existing values and a new working precision 5.8  Choosing useful precision and recognizing limits 6 Storing and Reusing Values 6.1  The memory banks and their indicators 6.2  Ordinary storage and recall 6.3  Arithmetic storage 6.4  Reusing a constant 6.5  Complex values in memory 6.6  Unset registers and stored zero 6.7  Associative memory: values under numeric keys 6.8  Memories, working areas, and saved operands 6.9  The statistical and financial banks 6.10  Clearing the intended group with MCLR 7 Scientific Functions 7.1  Finding and applying a scientific function 7.2  Arithmetic, reciprocal, powers, and roots 7.3  Exponential and logarithmic functions 7.4  Angle units and trigonometric functions 7.5  Hyperbolic functions and their inverses 7.6  Absolute value, integer parts, and rounding 7.7  Two different remainder conventions 7.8  Percentages and their retained base 7.9  Factorials, permutations, and combinations 7.10  Gamma and logarithmic factorials 7.11  The error function and its complement 7.12  Constants and random numbers 7.13  Domains, errors, and useful checks 8 Complex Numbers 8.1  Components, controls, and the display 8.2  Entering and editing a complete pair 8.3  Rectangular and polar forms 8.4  Swapping components and changing signs 8.5  Arithmetic and supported scientific functions 8.6  Turning complex mode off 8.7  Functions that use only real components 8.8  Principal results and branch conventions 8.9  Numerical limits and interpreting a result 9 Unit Conversions 9.1  Choose the quantity and conversion direction 9.2  What changes in RPN and ALG 9.3  Length, area, volume, and mass 9.4  US and Imperial names are part of the unit 9.5  Temperature readings and temperature differences 9.6  Motion, force, pressure, and torque 9.7  Energy, power, time, and frequency 9.8  Angle conversion and the angle setting 9.9  Conversion factors, precision, and rounding III  Statistical and Financial Calculations 10 Statistics 10.1  Prepare the statistical bank 10.2  Enter observations in the right order 10.3  What the six accumulators retain 10.4  Correct or remove an observation 10.5  Means and weighted means 10.6  Sample standard deviations 10.7  Fit a straight line 10.8  Estimate a response and read correlation 10.9  Inspect the totals and preserve useful results 10.10  Statistics worksheets in ALG 10.11  Stack effects, errors, and numerical limits 11 Time Value of Money, Loans, and Savings 11.1  The five financial registers 11.2  Cash signs, periods, and interest rates 11.3  END and BEGIN payment timing 11.4  When an RPN financial key stores and when it solves 11.5  Clearing and preparing a financial problem 11.6  Loan payments and a final balloon 11.7  Present value and a payment budget 11.8  Future value and regular savings 11.9  Solving for the periodic interest rate 11.10  Solving n and interpreting fractional periods 11.11  Amortization: interest, principal, and balance 11.12  TVM and amortization in ALG 11.13  Money rounding, precision, and practical limits 12 Cash Flows, NPV, and IRR 12.1  Amounts at equally spaced times 12.2  Controls and a known starting state 12.3  Entering individual and repeated flows 12.4  Reviewing and replacing stored amounts 12.5  Selecting the prefix with n 12.6  Net present value 12.7  Internal rate of return 12.8  Bounds, multiple roots, and unsuccessful searches 12.9  Cash-flow worksheets in ALG 12.10  Comparing amount and rate results 12.11  Clearing and numerical limits 13 Additional Financial and Date Calculations 13.1  Controls and preparation 13.2  Simple interest on 360- and 365-day bases 13.3  Entering and reading calendar dates 13.4  Adding or subtracting calendar days 13.5  Actual and 30/360 day counts 13.6  Bond inputs and coupon assumptions 13.7  Calculating bond price and yield 13.8  Preparing a depreciation calculation 13.9  Straight line and sum of years’ digits 13.10  Declining balance and straight-line crossover 13.11  Fractional useful lives and rounding 13.12  Financial and date worksheets in ALG 13.13  Retained inputs, results, and error recovery IV  Reference and Problem Solving 14 Saved Work, Clearing, and Troubleshooting 14.1  What is saved automatically 14.2  Independent workspaces and shared data 14.3  Resuming an unfinished entry 14.4  Cancel the pending operation before editing 14.5  Choose the smallest clear that fits 14.6  Prepare a fresh problem without resetting the application 14.7  Diagnose an unexpected result 14.8  Recover from a calculation error 14.9  Respond to a saved-state error 14.10  Identify the build and report a reproducible problem 15 Complete Command and Settings Reference 15.1  Reading an entry and following an example 15.2  Complete keyboard maps 15.3  Physical-keyboard shortcuts 15.4  Alphabetical reference: A through F 15.5  Alphabetical reference: G through N 15.6  Alphabetical reference: P through S 15.7  Alphabetical reference: T through Z and numeric legends 15.8  Display flags and pending indicators 15.9  Settings, defaults, and tool fields 15.10  Complete conversion-unit inventory 15.11  Domains and operational limits 15.12  Errors, warnings, and recovery cues A Learning and Mastering RPN A.1  Infix, prefix, and postfix describe the same calculation A.2  Prepare to see what each key does A.3  Optional refresher: a waiting intermediate result A.4  Translate grouping before translating keys A.5  Choose an order that fits the stack A.6  The project website’s expression equal to 42 A.7  Use deepest-register repetition deliberately A.8  Reverse subtraction or division safely A.9  Give a reusable value an ordinary memory register A.10  Practice, check, and recover A.11  Answers and annotated checkpoints B Why RPN? B.1  A calculation built from intermediate results B.2  What ALG offers in return B.3  Counting keys fairly B.4  Learning effort and opportunities for error B.5  What the historical studies establish B.6  From Polish notation to pocket calculators B.7  Why SpicyRPN takes this form B.8  Sources and further reading C Mathematical and Numerical Reference C.1  Finite multiple precision C.2  Rounding and integer conventions C.3  Real scientific definitions and domains C.4  Complex principal values C.5  Statistical accumulators and results C.6  Time value of money C.7  Amortization and simple interest C.8  Cash-flow discounting and internal rate of return C.9  Financial numerical root finding C.10  Gregorian dates and day counts C.11  Semiannual bonds C.12  Depreciation methods C.13  Conversion definitions and factor catalog C.14  Limits and independent checks D Obtaining and Building the Source D.1  Preparing the development machine D.2  Obtaining the release source package D.3  Understanding the source layout D.4  Library deployment settings D.5  Building GMP, MPFR, and MPC D.6  Signing and personal runs D.7  Building and running on macOS D.8  Building for iPhone and iPad D.9  Rebuilding after modifying a library D.10  Running the native test suites D.11  Archiving and publishing the validated release D.12  Checking independent numerical references D.13  Building this manual D.14  Diagnosing a build problem E MIT and GNU license texts E.1  MIT License E.2  GNU General Public License, version 3 E.3  GNU Lesser General Public License, version 3 Glossary and Mathematical Symbols Bibliography and Further Reading