CLARKE3(9)

💖 NAME 💖

okay so bestie, welcome to clarke3 — it's the Clarke transform, aka the glow-up that turns 3 phase into cartesian. the manual calls it a "Clarke (3 phase to cartesian) transform" and honestly? iconic. 👑

it lives in the 9 section of the LinuxCNC docs and it's a HAL Component, so you load it like a real one. 🎀

---

✨ SYNOPSIS ✨

loadrt clarke3 [count=N|names=name1[,name2...]]

that's the whole vibe. loadrt, name it, and optionally tell it how many copies you want with count=N or name them individually with names=name1[,name2...]. pick your fighter. 💅

---

🌸 DESCRIPTION 🌸

so the Clarke transform's whole thing is translating a vector quantity from a three phase system (three components sitting 120 degrees apart, the classic trio) over into a two phase Cartesian system. and if your three phases don't sum to zero? you also get a homopolar component riding along, so that's three outputs, not two. surprise bonus output, she's generous. 🦋

clarke3 implements the general case of the transform — the full version, using all three phases, no skipping. main character energy fr fr.

but wait, bestie: if your three phases are known to sum to zero, don't bother with this one — go see clarke2 for the simpler version. iykyk. 💀

---

🔥 FUNCTIONS 🔥

• clarke3.N — requires a floating-point thread. no float thread, no function. periodt. ✨

---

🎀 PINS 🎀

• clarke3.N.a float in — three phase input vector
• clarke3.N.b float in — three phase input vector
• clarke3.N.c float in — three phase input vector
• clarke3.N.x float out — cartesian components of output
• clarke3.N.y float out — cartesian components of output
• clarke3.N.h float out — homopolar component of output

so a, b, c are your three phase inputs (the trio, 120 degrees apart, you know the drill), x and y come out as the cartesian components of the output, and h is the homopolar component of the output. in goes the phase squad, out comes the cartesian. slay. 🌈

---

💜 SEE ALSO 💜

• clarke2(9) — for the a+b+c=0 case, the simpler one
• clarkeinv(9) — for the inverse transform, if you wanna go backwards

---

👑 AUTHOR 👑

John Kasunich

---

📜 LICENSE 📜

GPL

---

and that's the whole page, bestie!! 🫶 this lil doc is part of the LinuxCNC Documentation, dated 2026-03-17, and you found it in the HAL Component corner of the man pages — under the name CLARKE3(9), obviously. go forth and transform. 💖✨