Classpad II Stuff

Just a couple simple algebraic manipulation short cuts.

• tbmxs: Multiply top & bottom of a fraction by a factor. The top & bottom are then separately expanded and simplified twice.
• xxs: Expand, Expand, Simplify

All physical constants functions take the number of significant digits requested. A \(0\) means to return all available digits. All of these are from the 2018 NIST standard values. Note many constants are defined in Casio's Physium application – I just like to have these available in the keyboard function catalog because I use them quite frequently.

Note: These all start with c_ so they show up clumped together in the keyboard function catalog.

• c_c0: Speed of light (299792458)
• c_g: Standard acceleration of gravity (9.80665)
• c_G: Newtonian constant of gravitation (6.67430e-11)
• c_atm: Standard atmospheric pressure (101325)
• c_avogadro: Avogadro constant (6.02214076e23)

Most of these functions accept & return non-negative integers. The idea is to be able to perform bit manipulation operations on regular integers. We can provide binary-like input and output from these functions with the bitI and bitO functions. It's no HP-16C, but it will work in a pinch.

• General Integer Stuff
  • oddp: 1 if odd, 0 if even
  • evenp: 1 if even, 0 if odd
• Interpreting decimal integers as binary and vice versa
  • bitI: dec interpreted as bin
  • bitO: bin interpreted as dec
• Bit Shifting
  • bitSR: Shift right 1 bit
  • bitSRn: Shift right n bits
  • bitSL: Shift left 1 bit
  • bitSLn: Shift left n bits
• Bit Counting
  • intLog2: int of base 2 log
  • bitSIZE: bits required
  • bitCNT: Number of set bits
  • bitCLZ: Number of left zeros
• Binary Bitwise logical operations on fixed sized integers
  • bitANDn: N bit, bitwise and
  • bitXORn: N bit, bitwise xor
  • bitORn: N bit, bitwise or
• Binary Bitwise logical operations
  • bitAND: bitwise and
  • bitXOR: bitwise xor
  • bitOR: bitwise or
• Bitwise logical negation (this function only exists in a fixed sized form)
  • bitNOTn: N bit, bitwise not
• Lists of Bits (utility functions used behind the scenes)
  • bitLIST: Reverse list of bits
  • bitLISTn: Reverse list N bits
  • bitULIST: Bit list to number

• diagR: Diagonal for matrix (Matrix need not be square)
• dprod: Product of diagonal (Matrix need not be square)
• dsum: Diagonal Sum or trace (Matrix need not be square)
• slvSys: Solve matrix equation
• augRREF: Augment to matrices together and RREF
• invLeft: Left inverse
• invRight: Right inverse
• LU2P: Return the value of \(P\) given \(M\), \(L\), & \(U\)
• cPolyS: Characteristic polynomial via symbolic derivative
• cPolyN: Characteristic polynomial via polynomial interpolation

• pt2ln: eq of line given 2 points (points provided as row vectors)
• pt2ray: eq of ray given 2 points (points provided as row vectors)

• rt2ply: poly with given roots
• rt2plym: like rt2ply but monic
• slvPly: solve poly numerically
• compMtrx: Companion matrix

I have a much more sophsticated solution for the HP-42S calculator: https://richmit.github.io/hp42/meas.html

• Mean & Standard Deviation
  • repMesNS: Meas Stats (μ & σ)
  • repMesNI: Meas Interval (μ±σ)
• Median & Interquartile Range
  • repMesMS: Meas Stats
  • repMesMI: Meas Interval

• csc: cosecant
• sec: secant
• cot: cotangent
• havers: haversine: \(\frac{1-\cos(x)}{2}\)
• cis: Cosine-I-Sine: \(\cos(x)+i\cdot\sin(x)\)

Note: These all start with u_ so they show up clumped together in the keyboard function catalog.

• Units (volume)
  • u_gal_L: US Gallons to liters (A US gallon is about 0.83267 Imperial gallon)
  • u_L_gal: liters to US Gallons
• Units (force)
  • u_lb_kgf: US Pounds to kg force
  • u_kgf_lb: kg force to US pounds
  • u_N_lb: Newtons to US pounds
  • u_lb_N: US Pounds to newtons
• Units (temp)
  • u_F_C: Degrees Fahrenheit to Celsius
  • u_C_F: Degrees Celsius to Fahrenheit
  • u_K_C: Degrees Kelvin to Celsius
  • u_C_K: Degrees Celsius to Kelvin
• Units (length)
  • u_in_cm: International inches to centimeters (2.54 inches to the centimeter)
  • u_cm_in: Centimeters to international inches
  • u_mi_km: International miles to kilometers
  • u_km_mi: kilometers to international miles