DRAFT List of 2-arg opcodes

These are A-Form, recommended Major Opcode 63 for full-width and 59 for half-width (ending in s).

0.5 6.10 11.15 16.20 21.25 26.30 31 name Form
NN FRT FRA FRB /// xxxxx Rc trigonometric A-Form

As shown in Power ISA 3.1 Book III Appendix D Table 28 p1190 and Table 23 p1368, Major Opcode 63 has room for 9 A-Form 5-bit XO instructions, Major Opcode 59 has 11 5-bit XO instructions, with some overlap leading to a partially orthogonal set across full and half width.

opcode Description Major 63 Major 59
fatan2(s) atan2 arc tangent 00001 00001
fatan2pi(s) atan2 arc tangent / pi 01001 00111
fpow(s) x power of y 10000 10000
fpown(s) x power of n (n int) 10001 10001
fpowr(s) x power of y (x +ve) 10011 10011
frootn(s) x power 1/n (n integer) 11011 11011
fhypot(s) hypotenuse 01101 10111

DRAFT List of 1-arg transcendental opcodes

These are X-Form, and are identical in Special Registers Altered to fsqrt. Recommended Major Opcode 63 for full-width and 59 for half-width (ending in s).

Special Registers Altered:

FPRF FR FI FX OX UX XX
VXSNAN VXIMZ VXZDZ
CR1                    (if Rc=1)
0.5 6.10 11.15 16.20 21..30 31 name Form
NN FRT /// FRB 1xxxx01100 Rc transcendental X-Form

Recommended 10-bit XO with the low 5 LSBs 01100:

opcode Description Major 59 and 63
frsqrt(s) Reciprocal Square-root 10000 01110
fcbrt(s) Cube Root 10001 01110
frecip(s) Reciprocal 10010 01111
fexp2m1(s) power-2 minus 1 10100 01110
flog2p1(s) log2 plus 1 10101 01110
fexp2(s) power-of-2 10110 01110
flog2(s) log2 10111 01111
fexpm1(s) exponential minus 1 11000 01110
flogp1(s) log plus 1 11001 01110
fexp(s) exponential 11010 01110
flog(s) natural log (base e) 11011 01111
fexp10m1(s) power-10 minus 1 11100 01110
flog10p1(s) log10 plus 1 11101 01110
fexp10(s) power-of-10 11110 01110
flog10(s) log base 10 11111 01111

DRAFT List of 1-arg trigonometric opcodes

These are X-Form, and are identical in Special Registers Altered to fsqrt. Recommended Major Opcode 63 for full-width and 59 for half-width (ending in s)

Special Registers Altered:

FPRF FR FI FX OX UX XX
VXSNAN VXIMZ VXZDZ
CR1                    (if Rc=1)
0.5 6.10 11.15 16.20 21..30 31 name Form
NN FRT /// FRB 10xxx011xx Rc trigonometric X-Form

Recommended 10-bit XO with the low 5 LSBs 01101 to 01111:

opcode Description Major 59 and 63
fsin(s) sin (radians) 10000 01101
fcos(s) cos (radians) 10000 01110
ftan(s) tan (radians) 10000 01111
fasin(s) arcsin (radians) 10001 01101
facos(s) arccos (radians) 10001 01110
fatan(s) arctan (radians) 10001 01111
fsinpi(s) sin times pi 10010 01101
fcospi(s) cos times pi 10010 01110
ftanpi(s) tan times pi 10010 01111
fasinpi(s) arcsin / pi 10011 01101
facospi(s) arccos / pi 10011 01110
fatanpi(s) arctan / pi 10011 01111
fsinh(s) hyperbolic sin (radians) 10100 01101
fcosh(s) hyperbolic cos (radians) 10100 01110
ftanh(s) hyperbolic tan (radians) 10100 01111
fasinh(s) inverse hyperbolic sin 10101 01111
facosh(s) inverse hyperbolic cos 10101 01111
fatanh(s) inverse hyperbolic tan 10101 01111