diff --git a/fix32.tal b/fix32.tal
index f234448..e2a82f9 100644
--- a/fix32.tal
+++ b/fix32.tal
@@ -46,6 +46,31 @@
 %DENOM16 { #03e8 }
 %DENOM32 { #0000 #03e8 }
 
+( numerical constants )
+( )
+( to compute a constant, multiply the value you want )
+( by 1000 and take its hex representation. )
+( )
+( example: python -c 'print(hex(round(13.5 * 1000)))' )
+
+%x32-hundredth { #0000 #000a } (  0.01 )
+%x32-tenth     { #0000 #0064 } (  0.1 )
+%x32-half      { #0000 #01f4 } (  0.5 )
+%x32-one       { #0000 #03e8 } (  1.0 )
+%x32-two       { #0000 #07d0 } (  2.0 )
+%x32-three     { #0000 #0bb8 } (  3.0 )
+%x32-four      { #0000 #0fa0 } (  4.0 )
+%x32-five      { #0000 #1388 } (  5.0 )
+%x32-ten       { #0000 #2710 } ( 10.0 )
+
+%x32-sqrt2 { #0000 #0586 } ( 1.414 ~ sqrt[2] )
+%x32-sqrt3 { #0000 #06c4 } ( 1.732 ~ sqrt[3] )
+%x32-e     { #0000 #0a9e } ( 2.718 ~ e )
+%x32-pi/2  { #0000 #0623 } ( 1.571 ~ pi/2 )
+%x32-pi    { #0000 #0c46 } ( 3.142 ~ pi )
+%x32-3pi/2 { #0000 #1268 } ( 4.712 ~ 3pi/2 )
+%x32-2pi   { #0000 #188b } ( 6.283 ~ 2pi )
+
 @x32-eq ( x/** y/** -> bool^ ) !u32-eq
 @x32-ne ( x/** y/** -> bool^ ) !u32-ne
 
diff --git a/test-fix32.tal b/test-fix32.tal
index 222d465..f4f310c 100644
--- a/test-fix32.tal
+++ b/test-fix32.tal
@@ -50,6 +50,13 @@
     #0a18 DEO
     #0000 #0001 x32-emit #0a18 DEO (        0.001 )
     #0000 #03e8 x32-emit #0a18 DEO (        1.000 )
+    #0000 #0586 x32-emit #0a18 DEO (        1.414 )
+    #0000 #0623 x32-emit #0a18 DEO (        1.571 )
+    #0000 #06c4 x32-emit #0a18 DEO (        1.732 )
+    #0000 #0a9e x32-emit #0a18 DEO (        2.718 )
+    #0000 #0c46 x32-emit #0a18 DEO (        3.142 )
+    #0000 #1268 x32-emit #0a18 DEO (        4.712 )
+    #0000 #188b x32-emit #0a18 DEO (        6.283 )
     #0001 #0000 x32-emit #0a18 DEO (       65.536 )
     #0001 #e078 x32-emit #0a18 DEO (      123.000 )
     #0123 #4567 x32-emit #0a18 DEO (    19088.743 )