|-----------------------------------------------|---------------------------------------------------|---------------------------------------------------|-----------------------------------------------------|----------------------------------------------------|
| 10000 | <small>`10000 01100`</small><br>(ffadds) (draft) | <small>`10000 01101`</small><br>fsinpi(s) (draft) | <small>`10000 01110`</small><br>fatan2pi(s) (draft) | <small>`10000 01111`</small><br>fasinpi(s) (draft) |
| 10001 | <small>`10001 01100`</small><br>fcospi(s) (draft) | <small>`10001 01101`</small><br>ftanpi(s) (draft) | <small>`10001 01110`</small><br>facospi(s) (draft) | <small>`10001 01111`</small><br>fatanpi(s) (draft) |
-| 10010 | <small>`10010 01100`</small><br>**TBD** (draft) | <small>`10010 01101`</small><br>fsin(s) (draft) | <small>`10010 01110`</small><br>fatan2(s) (draft) | <small>`10010 01111`</small><br>fasin(s) (draft) |
+| 10010 | <small>`10010 01100`</small><br>frsqrt(s) (draft) | <small>`10010 01101`</small><br>fsin(s) (draft) | <small>`10010 01110`</small><br>fatan2(s) (draft) | <small>`10010 01111`</small><br>fasin(s) (draft) |
| 10011 | <small>`10011 01100`</small><br>fcos(s) (draft) | <small>`10011 01101`</small><br>ftan(s) (draft) | <small>`10011 01110`</small><br>facos(s) (draft) | <small>`10011 01111`</small><br>fatan(s) (draft) |
-| 10100 | <small>`10100 01100`</small><br>**TBD** (draft) | <small>`10100 01101`</small><br>fsinh(s) (draft) | <small>`10100 01110`</small><br>fhypot(s) (draft) | <small>`10100 01111`</small><br>fasinh(s) (draft) |
+| 10100 | <small>`10100 01100`</small><br>frecip(s) (draft) | <small>`10100 01101`</small><br>fsinh(s) (draft) | <small>`10100 01110`</small><br>fhypot(s) (draft) | <small>`10100 01111`</small><br>fasinh(s) (draft) |
| 10101 | <small>`10101 01100`</small><br>fcosh(s) (draft) | <small>`10101 01101`</small><br>ftanh(s) (draft) | <small>`10101 01110`</small><br>facosh(s) (draft) | <small>`10101 01111`</small><br>fatanh(s) (draft) |
-| 10110 | <small>`10110 01100`</small><br>**TBD** (draft) | <small>`10110 01101`</small><br>**TBD** (draft) | <small>`10110 01110`</small><br>**TBD** (draft) | <small>`10110 01111`</small><br>**TBD** (draft) |
-| 10111 | <small>`10111 01100`</small><br>**TBD** (draft) | <small>`10111 01101`</small><br>**TBD** (draft) | <small>`10111 01110`</small><br>**TBD** (draft) | <small>`10111 01111`</small><br>**TBD** (draft) |
-
-| XO LSB half →<br> XO MSB half ↓ | 01100 | 01101 | 01110 | 01111 |
-|-----------------------------------------------|---------------------------------------------------|---------------------------------------------------|-----------------------------------------------------|----------------------------------------------------|
-| 11000 | <small>`11000 01100`</small><br>**TBD** (draft) | <small>`11000 01101`</small><br>**TBD** (draft) | <small>`11000 01110`</small><br>**TBD** (draft) | <small>`11000 01111`</small><br>**TBD** (draft) |
-| 11001 | <small>`11001 01100`</small><br>**TBD** (draft) | <small>`11001 01101`</small><br>**TBD** (draft) | <small>`11001 01110`</small><br>(fctid) | <small>`11001 01111`</small><br>(fctidz) |
-| 11010 | <small>`11010 01100`</small><br>**TBD** (draft) | <small>`11010 01101`</small><br>**TBD** (draft) | <small>`11010 01110`</small><br>(fcfid(s)) | <small>`11010 01111`</small><br>**TBD** (draft) |
-| 11011 | <small>`11011 01100`</small><br>**TBD** (draft) | <small>`11011 01101`</small><br>**TBD** (draft) | <small>`11011 01110`</small><br>**TBD** (draft) | <small>`11011 01111`</small><br>**TBD** (draft) |
-| 11100 | <small>`11100 01100`</small><br>**TBD** (draft) | <small>`11100 01101`</small><br>**TBD** (draft) | <small>`11100 01110`</small><br>**TBD** (draft) | <small>`11100 01111`</small><br>**TBD** (draft) |
-| 11101 | <small>`11101 01100`</small><br>**TBD** (draft) | <small>`11101 01101`</small><br>**TBD** (draft) | <small>`11101 01110`</small><br>(fctidu) | <small>`11101 01111`</small><br>(fctiduz) |
-| 11110 | <small>`11110 01100`</small><br>**TBD** (draft) | <small>`11110 01101`</small><br>**TBD** (draft) | <small>`11110 01110`</small><br>(fcfidu(s)) | <small>`11110 01111`</small><br>**TBD** (draft) |
-| 11111 | <small>`11111 01100`</small><br>**TBD** (draft) | <small>`11111 01101`</small><br>**TBD** (draft) | <small>`11111 01110`</small><br>**TBD** (draft) | <small>`11111 01111`</small><br>**TBD** (draft) |
+| 10110 | <small>`10110 01100`</small><br>fcbrt(s) (draft) | | | |
+| 10111 | | | | |
+
+| XO LSB half →<br> XO MSB half ↓ | 01100 | 01101 | 01110 | 01111 |
+|-----------------------------------------------|----------------------------------------------------|----------------------------------------------------|-----------------------------------------------------|----------------------------------------------------|
+| 11000 | <small>`11000 01100`</small><br>fexp2m1(s) (draft) | <small>`11000 01101`</small><br>flog2p1(s) (draft) | | |
+| 11001 | <small>`11001 01100`</small><br>fexpm1(s) (draft) | <small>`11001 01101`</small><br>flogp1(s) (draft) | <small>`11001 01110`</small><br>(fctid) | <small>`11001 01111`</small><br>(fctidz) |
+| 11010 | <small>`11010 01100`</small><br>fexp10m1(s) (draft)| <small>`11010 01101`</small><br>flog10p1(s) (draft)| <small>`11010 01110`</small><br>(fcfid(s)) | |
+| 11011 | <small>`11011 01100`</small><br>fpown(s) (draft) | <small>`11011 01101`</small><br>frootn(s) (draft) | | |
+| 11100 | <small>`11100 01100`</small><br>fexp2(s) (draft) | <small>`11100 01101`</small><br>flog2(s) (draft) | | |
+| 11101 | <small>`11101 01100`</small><br>fexp(s) (draft) | <small>`11101 01101`</small><br>flog(s) (draft) | <small>`11101 01110`</small><br>(fctidu) | <small>`11101 01111`</small><br>(fctiduz) |
+| 11110 | <small>`11110 01100`</small><br>fexp10(s) (draft) | <small>`11110 01101`</small><br>flog10(s) (draft) | <small>`11110 01110`</small><br>(fcfidu(s)) | |
+| 11111 | <small>`11111 01100`</small><br>fpowr(s) (draft) | <small>`11111 01101`</small><br>fpow(s) (draft) | | |
# DRAFT List of 2-arg opcodes
| 0.5|6.10|11.15|16.20| 21..30 |31| name | Form |
| -- | -- | --- | --- | ---------- |--| ---- | ------- |
-| NN |FRT | FRA | FRB | 10xxx011xx |Rc| transcendental | X-Form |
+| NN |FRT | FRA | FRB | 1xxxx011xx |Rc| transcendental | X-Form |
+| NN |FRT | FRA | RB | 1xxxx011xx |Rc| transcendental | X-Form |
As shown in Power ISA 3.1 Book III Appendix D Table 28 p1190
and Table 23 p1368,
with some overlap leading to a partially orthogonal
set across full and half width.
-| opcode | Description | Major 59 and 63 |
-|------------|-----------------------------------------|-----------------|
-| fatan2(s) | atan2 arc tangent | 10010 01110 |
-| fatan2pi(s)| atan2 arc tangent / π | 10000 01110 |
-| fpow(s) | x<sup>y</sup> | |
-| fpown(s) | x<sup>n</sup> (n ∈ ℤ) | |
-| fpowr(s) | x<sup>y</sup> (x >= 0) | |
-| frootn(s) | <sup>n</sup>√x (n ∈ ℤ) | |
-| fhypot(s) | √(x<sup>2</sup> + y<sup>2</sup>) | 10100 01110 |
+| opcode | Description | Major 59 and 63 | bits 16..20 |
+|------------|-----------------------------------------|-----------------|-------------|
+| fatan2(s) | atan2 arc tangent | 10010 01110 | FRB |
+| fatan2pi(s)| atan2 arc tangent / π | 10000 01110 | FRB |
+| fpow(s) | x<sup>y</sup> | 11111 01101 | FRB |
+| fpown(s) | x<sup>n</sup> (n ∈ ℤ) | 11011 01100 | RB |
+| fpowr(s) | x<sup>y</sup> (x >= 0) | 11111 01100 | FRB |
+| frootn(s) | <sup>n</sup>√x (n ∈ ℤ) | 11011 01101 | RB |
+| fhypot(s) | √(x<sup>2</sup> + y<sup>2</sup>) | 10100 01110 | FRB |
# DRAFT List of 1-arg transcendental opcodes
| 0.5|6.10|11.15|16.20| 21..30 |31| name | Form |
| -- | -- | --- | --- | ---------- |--| ---- | ------- |
-| NN |FRT | /// | FRB | 10xxx011xx |Rc| transcendental | X-Form |
+| NN |FRT | /// | FRB | 1xxxx011xx |Rc| transcendental | X-Form |
Recommended 10-bit XO with the low 5 LSBs 01100:
| opcode | Description | Major 59 and 63 |
|------------|--------------------------|-----------------|
-| frsqrt(s) | 1 / √x | |
-| fcbrt(s) | ∛x | |
-| frecip(s) | 1 / x | |
-| fexp2m1(s) | 2<sup>x</sup> - 1 | |
-| flog2p1(s) | log<sub>2</sub> (x + 1) | |
-| fexp2(s) | 2<sup>x</sup> | |
-| flog2(s) | log<sub>2</sub> x | |
-| fexpm1(s) | e<sup>x</sup> - 1 | |
-| flogp1(s) | log<sub>e</sub> (x + 1) | |
-| fexp(s) | e<sup>x</sup> | |
-| flog(s) | log<sub>e</sub> x | |
-| fexp10m1(s)| 10<sup>x</sup> - 1 | |
-| flog10p1(s)| log<sub>10</sub> (x + 1) | |
-| fexp10(s) | 10<sup>x</sup> | |
-| flog10(s) | log<sub>10</sub> x | |
+| frsqrt(s) | 1 / √x | 10010 01100 |
+| fcbrt(s) | ∛x | 10110 01100 |
+| frecip(s) | 1 / x | 10100 01100 |
+| fexp2m1(s) | 2<sup>x</sup> - 1 | 11000 01100 |
+| flog2p1(s) | log<sub>2</sub> (x + 1) | 11000 01101 |
+| fexp2(s) | 2<sup>x</sup> | 11100 01100 |
+| flog2(s) | log<sub>2</sub> x | 11100 01101 |
+| fexpm1(s) | e<sup>x</sup> - 1 | 11001 01100 |
+| flogp1(s) | log<sub>e</sub> (x + 1) | 11001 01101 |
+| fexp(s) | e<sup>x</sup> | 11101 01100 |
+| flog(s) | log<sub>e</sub> x | 11101 01101 |
+| fexp10m1(s)| 10<sup>x</sup> - 1 | 11010 01100 |
+| flog10p1(s)| log<sub>10</sub> (x + 1) | 11010 01101 |
+| fexp10(s) | 10<sup>x</sup> | 11110 01100 |
+| flog10(s) | log<sub>10</sub> x | 11110 01101 |
# DRAFT List of 1-arg trigonometric opcodes
| 0.5|6.10|11.15|16.20| 21..30 |31| name | Form |
| -- | -- | --- | --- | ---------- |--| ---- | ------- |
-| NN |FRT | /// | FRB | 10xxx011xx |Rc| trigonometric | X-Form |
+| NN |FRT | /// | FRB | 1xxxx011xx |Rc| trigonometric | X-Form |
Recommended 10-bit XO with the low 5 LSBs 01101 to 01111: