Swages (hardies) and fullers are shaping tools. Swages are either stand alone tools or fit the "hardie hole" on the face of the anvil. The metal is shaped by being driven into the form of the swage. Opposite to the swage in some respects is the fuller which may take a number of shapes and is driven into the metal with a hammer.
Swages and fullers are often paired to bring a piece of metal to shape in a single operation, essentially a set of dies. A fuller and swage pair might be spoon shaped, for example, the swage dished to form the bowl and the fuller the convex mirror of the swage. Together they will quickly stamp a spoon shape on the end of a bar.
There are many other tools used by smiths, so many that even a brief description of the types is beyond the scope of this article and the task is complicated by a variety of names for the same type of tool. Further complicating the task is that making tools is inherently part of the smith's craft and many custom tools are made by individual smiths to suit particular tasks and the smith's inclination.
With that caveat one category of tools should be mentioned: jigs. A jig is generally a custom built tool, usually made by the smith, to perform a particular operation for a particular task or project. For example, a smith making decorative scrolls for an iron fence will make a bending jig to apply a particular shape to the stock, ensuring that each scroll has the same bend.