Shareware or freeware.
Freeware
That which is neither freeware nor GPL-licensed.
Freeware or Shareware, like any other software, is copyrighted. The creator or author has released the copyright to the public and there is usually a statement somewhere in the documentation to that effect, as well as any possible restrictions. Restrictions may be that the Software can be freely shared, but cannot be sold, or incorporated into another software package. They also usually require that the copyright notice be included when sharing the item.
The software Undelete Freeware does not exist. There has never been a software produced that is called Undelete Freeware. There would be no need for this software.
Open source: Available to the public for free. Freeware: Copyrighted software for free. Shareware: Software made on a trial basis. Bundleware: Software included with the purchase of a new computer.
Freeware is a software that is made for free and it is not always as great as the software that you would pay for.
Freeware is computer software that is distributed without charge. Open source is computer software the author of which claims no copyright. There are several ways "open source" is defined, the most popular being GNU. However! Freeware can be copyrighted, and open source can be sold for money.
It sounds like you are looking for open-source software. The copyright agreements do differ, so check before you put too much work in to it.
Freeware is software that is offered free, but has certain limitations. A few examples of companies that offer freeware include Adobe Reader and Skype.
It is usually called "open source" software.
Copyrighted means that the software, as a piece of intellectual property, is owned by a person or organisation, who therefore retains the rights on how the software is distributed. Some software is public domain, meaning the intellectual property rights have been given up (copyrights can expire, but no software is old enough yet). 'Licensed' is just a way of saying you purchased the right to use the software. It is an important legal distinction that when you buy a game or application, you bought the 'right' to use it, you do not 'own' the software. As above, with some freeware or PD games or applications, no one owns the software anymore, so the raw code is unlicensed.