diff --git a/src/nouveau/compiler/nak.rs b/src/nouveau/compiler/nak.rs
index 19412e8cf89..f1e40d58964 100644
--- a/src/nouveau/compiler/nak.rs
+++ b/src/nouveau/compiler/nak.rs
@@ -3,6 +3,7 @@
  * SPDX-License-Identifier: MIT
  */
 
+mod nak_assign_regs;
 mod nak_from_nir;
 mod nak_ir;
 mod nak_opt_copy_prop;
@@ -46,5 +47,9 @@ pub extern "C" fn nak_compile_shader(
 
     println!("NAK IR:\n{}", &s);
 
+    s.assign_regs_trivial();
+
+    println!("NAK IR:\n{}", &s);
+
     std::ptr::null_mut()
 }
diff --git a/src/nouveau/compiler/nak_assign_regs.rs b/src/nouveau/compiler/nak_assign_regs.rs
new file mode 100644
index 00000000000..f6a5a421f90
--- /dev/null
+++ b/src/nouveau/compiler/nak_assign_regs.rs
@@ -0,0 +1,82 @@
+/*
+ * Copyright © 2022 Collabora, Ltd.
+ * SPDX-License-Identifier: MIT
+ */
+
+#![allow(unstable_name_collisions)]
+
+use crate::nak_ir::*;
+use crate::util::NextMultipleOf;
+
+use std::collections::HashMap;
+
+struct TrivialRegAlloc {
+    next_reg: u8,
+    next_ureg: u8,
+    reg_map: HashMap<SSAValue, Ref>,
+}
+
+impl TrivialRegAlloc {
+    pub fn new() -> TrivialRegAlloc {
+        TrivialRegAlloc {
+            next_reg: 16, /* Leave some space for FS outputs */
+            next_ureg: 0,
+            reg_map: HashMap::new(),
+        }
+    }
+
+    fn alloc_reg(&mut self, file: RegFile, comps: u8) -> Ref {
+        let align = comps.next_power_of_two();
+        let idx = match file {
+            RegFile::GPR => {
+                let idx = self.next_reg.next_multiple_of(align);
+                self.next_reg = idx + comps;
+                idx
+            }
+            RegFile::UGPR => {
+                let idx = self.next_ureg.next_multiple_of(align);
+                self.next_ureg = idx + comps;
+                idx
+            }
+            RegFile::Pred | RegFile::UPred => panic!("Not handled"),
+        };
+        Ref::new_reg(file, idx, comps)
+    }
+
+    pub fn rewrite_ref(&mut self, r: &Ref) -> Ref {
+        if let Ref::SSA(ssa) = r {
+            if let Some(reg) = self.reg_map.get(ssa) {
+                *reg
+            } else {
+                let reg = self.alloc_reg(ssa.file(), ssa.comps());
+                self.reg_map.insert(*ssa, reg);
+                reg
+            }
+        } else {
+            *r
+        }
+    }
+
+    pub fn do_alloc(&mut self, s: &mut Shader) {
+        for f in &mut s.functions {
+            for b in &mut f.blocks {
+                for instr in &mut b.instrs {
+                    for dst in instr.dsts_mut() {
+                        let new_dst = self.rewrite_ref(&dst);
+                        *dst = new_dst;
+                    }
+                    for src in instr.srcs_mut() {
+                        let new_src = self.rewrite_ref(&src);
+                        *src = new_src;
+                    }
+                }
+            }
+        }
+    }
+}
+
+impl Shader {
+    pub fn assign_regs_trivial(&mut self) {
+        TrivialRegAlloc::new().do_alloc(self);
+    }
+}