Hi,
I made a few simple programs for the HP 35s which make it a little bit better imho :)
I tried to let each one keep as much of the original stack as possible intact, this didn't succeed for every function however.
There are: extract im/re, >R, >P, lambertw, complex loggamma, complex conjugate, complex asin/acos/atan and complex sqrt.
They're almost all located on or near a key where either a function is similar, or the letter is a good mnemonic.
The polar/rect and lambertw ones were inspired by posts from here but made simpler.
What do you think of the programs?
Got any tips to improve them?
Are there any HP35s related resources for other useful programs or programming tips and techniques? I found the Matrix Multitool which is very nice, but for the rest I only find surveying related programs...
Any ideas for *games* that can be programmed on a device like this?
Thanks!
//Get re in x and im in y. Located on the imaginary number key.
lbl g
eqn: abs(regxsq(abs(regx))/regx)/2
x<>y
1/x
clx
eqn: abs(lastx+sq(abs(lastx))/lastx)/2
rtn
//Complex conjugate, on the +/ key
lbl n
1/x
clx
sq(abs(lastx))/lastx
rtn
//LambertW, on the W key. Makes a mess of the stack.
lbl w
sto j
fn= v
solve i
rollup
x<>y
rtn
//LambertW helper function (too bad this costs a whole label, why can't you give line numbers to SOLVE??)
lbl v
rcl i
e^x
lastx
*
rcl j

rtn
//Polar to rect, on the R key representing >R
lbl r
eqn: regy*sin(regx)
enter
eqn: regx*cos(regy)
rtn
//Rect to polar, on the S key because it's next to the R. Unfortunately lets the oldest stack value get lost.
lbl s
i
*
+
arg
lastx
abs
rtn
//Complex loggamma, on the z key which is above '!'.
lbl z
1/x
clx
eqn: 0.918938533205+(lastx0.5)*ln(lastx)lastx+1/(12*lastx)1/(360*lastx^3)+1/(1260*lastx^5)
rtn
//Square root of complex numbers, on the square root key
lbl k
1/x
clx
eqn: lastx^0.5i0
rtn
//Complex asin, on the sin key (why doesn't it support this by default anyway?)
lbl h
1/x
clx
eqn: i*ln(i*lastx+(1lastx*lastx)^0.5i0)
rtn
//Complex acos, on the cos key
lbl i
1/x
clx
eqn: i*ln(lastx+((lastx*lastx1)^035i0))
rtn
//Complex atan, on the tan key
lbl j
1/x
clx
eqn: 0.5*i*ln((1i*lastx)/(1+i*lastx))
rtn