API review July 2022 (#608)

* API review July 2022

* Apply suggestions from code review

Co-authored-by: Mariia Mykhailova <[email protected]>

* Apply suggestions from code review

* Apply suggestions from code review

* Update api-design-2022-07.md

* Update api-design-2022-07.md

Co-authored-by: Mariia Mykhailova <[email protected]>

Author: msoeken

Design/meetings/2022/api-design-2022-07.md

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+# Q# API Design Discussions / July 2022
+
+Reviewers (in order by username): @tcNickolas, @msoeken, @cgranade
+
+## Agenda
+
+- https://github.com/microsoft/QuantumLibraries/issues/598
+- https://github.com/microsoft/QuantumLibraries/issues/601
+- https://github.com/microsoft/QuantumLibraries/issues/602
+- https://github.com/microsoft/QuantumLibraries/issues/607
+
+## Discussion
+
+### Fixed point truncation
+
+**Proposal**: https://github.com/microsoft/QuantumLibraries/issues/598
+
+**Reviews**:
+* @tcNickolas, *approve*, left a comment
+> Please add a bullet point including your alias, your review result (*approve*, *reject*, *comment*), and a comment (optional when result is *approve*).  Alternatively, add a line to the PR discussion incl. a reference to this issue.
+
+**Consensus**: Approved
+
+---
+
+### Table lookup
+
+**Proposal**: https://github.com/microsoft/QuantumLibraries/issues/601
+
+**Reviews**:
+* @tcNickolas, *approve*, left comments
+* @msoeken, *approve*, left comments
+> Please add a bullet point including your alias, your review result (*approve*, *reject*, *comment*), and a comment (optional when result is *approve*).  Alternatively, add a line to the PR discussion incl. a reference to this issue.
+
+**Consensus**: Postponed, requires more discussion
+
+---
+
+### Windowed unitary application
+
+**Proposal**: https://github.com/microsoft/QuantumLibraries/issues/602
+
+**Reviews**:
+* @tcNickolas, *approve*
+* @msoeken, *approve*, left comments
+> Please add a bullet point including your alias, your review result (*approve*, *reject*, *comment*), and a comment (optional when result is *approve*).  Alternatively, add a line to the PR discussion incl. a reference to this issue.
+
+**Consensus**: Approved as `ApplyToEachWindow` without `argumentTransform`, without `target` argument, with type parameter for input array, and with all 4 functor variants.
+
+---
+
+### New operation: Apply arithmetic function via table lookup
+
+**Proposal**: https://github.com/microsoft/QuantumLibraries/issues/607
+
+**Reviews**:
+> Please add a bullet point including your alias, your review result (*approve*, *reject*, *comment*), and a comment (optional when result is *approve*).  Alternatively, add a line to the PR discussion incl. a reference to this issue.
+* @msoeken, *approve*, left comments
+
+**Consensus**: Approved after comments