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Millman " -discussion: https://discuss.scientific-python.org/t/spec-13-recommended-targets-and-naming-conventions -endorsed-by: ---- - -## Description - -For consistency and decreased cognitive load across the ecosystem, this SPEC recommends naming conventions around various project aspects--such as project structure, repository layout, folder names, task runner and `pyproject.toml` targets name. - -From a cursory survey in the Scientific Python ecosystem, we discover some frustration from contributors and maintainer when moving from one project to another and belive that consistency will make it both easier for existing maintainer to contribute to manz project as well a decreae the confusion of new developers when contributing or creating new proejcts. - -## Implementation - -We recommend that by default the targets and folder names: - - related to testing be named `tests` (and not `test`) - - related to documentation be named `docs` (and not `doc`) - - both should be lowercase. - -It is ok to have the singular aliases, but the plurals should always be the default. - -### Examples - -pyproj.toml -docs folder -pip install .[] -spin and dev.py -tox - -## Notes - -![Vote from ecosystem maintainers at the 2024 Scientific Python Ecosystem Summit in Seattle](./ecosystem_voting.jpg) From f46a93e9bb17b88f676c93f986a57a144cea964a Mon Sep 17 00:00:00 2001 From: Matt Haberland Date: Sun, 14 Jul 2024 10:11:29 -0700 Subject: [PATCH 03/20] Attempt to make SPEC 12 complete and unambiguous --- spec-0012/index.md | 270 +++++++++++++++++++++++++++------------------ 1 file changed, 164 insertions(+), 106 deletions(-) diff --git a/spec-0012/index.md b/spec-0012/index.md index 0db0b00b..87e77f44 100644 --- a/spec-0012/index.md +++ b/spec-0012/index.md @@ -4,122 +4,180 @@ number: 12 date: 2024-06-06 author: - "Pamphile Roy " + - "Matt Haberland " discussion: https://discuss.scientific-python.org/t/spec-12-formatting-mathematical-expressions endorsed-by: --- ## Description -It is known that the PEP8 and other established styling documents are missing -guidelines about mathematical expressions. This leads to people coming with -their own interpretation and style. Standardizing the way we represent maths -would lead to the same benefits seen with "normal" code. It brings consistency -in the ecosystem improving the collaborative efforts. +PEP8 and other established styling documents do not include guidelines about +styling mathematical expressions. This leads to individual interpretation and +styles which may conflict with those of others. We seek to standardizing the +way we represent mathematics for the same reason we standardize other code: +it brings consistency to the ecosystem and allows collaborators to focus on +more important aspects of the code. This SPEC standardize the formatting of mathematical expressions. -## Implementation - -The following rules must be followed. -These rules respect and complement the PEP8 (relevant sections includes -[id20](https://www.python.org/dev/peps/pep-0008/#id20) and -[id20](https://www.python.org/dev/peps/pep-0008/#id28)). - -We define a _group_ as a collection of operators having the same priority. -e.g. `a + b + c` is a single group, `a + b * c` is composed of two groups `a` -and `b * c`. A group is also a collection delimited with parenthesis. -`(a + b * c)` is a group. And the whole expression by itself is a -group. - -- There a space before and after `-` and `+`. Except if - the operator is used to define the sign of the number; - - ``` - a + b - -a - ``` - -- Within a group, if operators with different priorities are used, add whitespace around the operators with the lowest priority(ies). - - ``` - a + b*c - ``` - -- There is no space before and after `**`. - - ``` - a**b - ``` - -- There is no space before and after operators `*` and `/`. Only exception is if the expression consist of a single operator linking two groups with more than one - element. +## Terminology - ``` - a*b - (a*b) * (c*d) - ``` - -- Operators within a group are ordered from the lowest to the highest priority. - If this is technically an issue (e.g. restriction on the AST), add - parenthesis or spaces. - - ``` - a/d*b**c - a*(b**c)/d - a*b**c / d - a * b**c / d - ``` - -- When splitting an equation, new lines should start with the operator linking - the previous and next logical block. Single digit on a line are forbidden. - - ``` - ( - a/b - + c*d - ) - ``` - -### Examples - -```python -# good -i = i + 1 -submitted += 1 -x = x*2 - 1 -hypot2 = x*x + y*y -c = (a + b) * (a - b) -dfdx = sign*(-2*x + 2*y + 2) -result = 2*x**2 + 3*x**(2/3) -y = 4*x**2 + 2*x + 1 -c_i1j = ( - 1./n**2. - *np.prod( - 0.5*(2. + abs(z_ij[i1, :]) + abs(z_ij) - abs(z_ij[i1, :] - z_ij)), axis=1 - ) -) -``` - -```python -# bad -i = i + 1 -submitted += 1 -x = x * 2 - 1 -hypot2 = x * x + y * y -c = (a + b) * (a - b) -dfdx = sign * (-2 * x + 2 * y + 2) -result = 2 * x ** 2 + 3 * x ** (2 / 3) -y = 4 * x ** 2 + 2 * x + 1 -c_i1j = ( - 1.0 - / n ** 2.0 - * np.prod( - 0.5 * (2.0 + abs(z_ij[i1, :]) + abs(z_ij) - abs(z_ij[i1, :] - z_ij)), axis=1 - ) -) +An "explicit" expression is a code expression enclosed within parentheses or +otherwise syntactically separated from other expressions (i.e. by code other +than operators, whitespace, literals, or variables). For example, in the list +comprehension: +```python3 +for j in range(1, i + 1) ``` +The output expression `j` is one explicit expression and the input sequence +`range(1, i + 1)` is another. + +A "subexpression" is subset of an expression that is either explicit or could +be made explicit (i.e. with parentheses) without affecting the order of +operations. In the example above, `j` and `range(1, i + 1)` can also be +referred to as explicit subexpressions of the whole expression, and `1` and +`i + 1` are explicit subexpressions of the expression `range(1, i + 1)`. `i` and +`1` are "implicit" subexpressions of `i + 1`: they could be written as explicit +subexpressions `(i)` and `(1)` without affecting the order of operations, but they +are not explicit as written. + +As another example, in `x + y*z`, `y*z` is a subexpression because it could be made +explicit as in `x + (y*z)` without changing the order of operations. However, `x + y` +would not be a subexpression because `(x + y)*z` would change the order of operations. +Note that `x + y*z` as a whole may also be referred to as a "subexpression" rather than +an "expression" even though `(x + y*z)` is not a "proper" subset of the whole. + +A "simple" expression is an expression involving only one operator priority level +without considering the operators within explicit subexpressions. +A "compound" expression is an expression involving more than one operator +priority level without considering the contents of explicit subexpressions. +For example, +- `x + y - z` is a simple expression because `+` and `-` have the +same priority level. There are no explicit subexpressions to be ignored. +- `x * (y + z)` is also a simple expression because there is only one operator +between `x` and the explicit subexpression `(y + z)`; we ignore the contents - and +especially the operator - within the explicit subexpression; conceptually, it may +regarded as `(...)`. +- `x * y + z` is a compound expression; there are two operators and no explicit +subexpressions that can be ignored. + +The acronym PEMDAS commonly refers to "parentheses", "exponential", "multiplication", +"division", "addition", and "subtraction". Herein, we will consider these operators +to be "PEMDAS operators", and we will also include the unary `+`, `-`, and `~` in +this category for convenience. The order of operations of PEMDAS operators is typically +taught in primary school and reinforced throughout a programmer's training and +experience, so it is assumed that most programmers are comfortable relying on the +implicit order of operations of expressions involving a few PEMDAS operations. Implicit +order of operations becomes less obvious as the number of distinct operator priority +levels increases and when multiple non-PEMDAS operators are involved. Portions of this +acronym, namely MD and AS, will be used below to refer to the corresponding operators. -## Notes +## Implementation -These formatting rules do not make any consideration in terms of performances -nor precision. The scope is limited to styling. +The following rules are not imagined to be all encompassing, and may be +syntactically valid cases in which the following rules would lead to contradictions. +Nonetheless, we expect them to be useful in most cases, and projects that adopt the +SPEC endeavor to use them in typical cases. These rules are intended to respect and +complement the PEP8 rules (relevant sections includes [id20](https://www.python.org/dev/peps/pep-0008/#id20) and [id20](https://www.python.org/dev/peps/pep-0008/#id28)). + +0. Unless required by other rules, rely on the implicit order of operations; + i.e., do not add extraneous parentheses. For example, prefer `u**v + y**z` + over `(u**v) + (y**z)`, and prefer `x + y + z` over `(x + y) + z`. +1. Always use the `**` operator and unary `+`, `-`, and `~` operators *without* + surrounding whitespace. For example, prefer `-x**4` over `- (x ** 4)`. +2. Always surround non-PEMDAS operators with whitespace, and always make the priority of + non-PEMDAS operators explicit, even if the parentheses are consistent with the + implicit order of operations. For example, prefer `(x == y) or (w == t)` over + `x==y or w==t`.[^1] +3. Always surround AS operators with whitespace. +4. Typically surround MD operators with whitespace, except when there are lower-priority + operators (namely AS) within the same compound expression or the division operation + would be written mathematically as a fraction with a horizontal bar. + For example, prefer `z = -x * y**t` over `z = -x*y**t`, but + prefer `z = w + x*y**t` over `z = w + x * y**t` due to the presence of the + lower-priority addition operator. Also, prefer `z = t/v * x/y` over + `z = t / v * x / y` if this would be written mathematically as the product of + two fractions. +5. According to the other rules, only `**`, `*`, `/`, and the unary `+`, `-`, and `~` + operators can appear in implicit subexpressions without spaces. In such expressions, + - Include unary operators at the left, and use at most one within an implicit + subexpression without spaces. + - Include `**` operators at the right, and use at most one within an implicit + subexpression without spaces. + + To achieve these goals, simplification or the addition of parentheses may be required. + For example: + - The expressions `--x` and `-~x` would be implicit subexpressions without spaces + containing more than one unary operator. The former can be simplified to `+x` or + simply `x`, and the latter requires explicit parentheses, i.e. `-(~x)`. + - The expression `x**y**z` would be an implicit subexpression without spaces + containing more than one `**` operator. This code would be executed as `x**(y**z)` + following the implicit order, but the explicit parentheses should be included for + clarity. + - In the expression `t**v*x**y + z`, no spaces are used around the multiplication + operator due to the presence of the lower-priority addition operator. However, + this would lead to `t**v*x**y` being an implicit subexpression without spaces + containing more than one `**` operator. This code would be executed as + `(t**v)*(x**y) + z`, but the explicit parentheses should be included for clarity. +6. When breaking lines at operators, always include the operator at the beginning + of the new line rather than at the end of the old line, and use parentheses if + needed to allow for implicit rather than explicit line breaks. For example, if + `x + y` must be broken, prefer + ```python3 + (x + + y) + ``` + over + ```python3 + x + \ + y + ``` +7. If required to satisfy other style requirements, include line breaks between + the outermost explicit subexpression possible. For example, if + `t + (w + (x + (y + z))))` must be broken, prefer + ```python3 + (t + + (w + (x + (y + z))))) + ``` + (if this break satisfies other requirements) over + ```python3 + (t + (w + (x + (y + + z))))) + ``` + If there are multiple candidates, include the break at the first opportunity. +8. If line breaks must occur within a compound subexpression, the break should + be placed at the operator with lowest priority. For example, if + (x + y*z) must be broken, prefer + ``` + (x + + y*z) + ``` + over + ``` + (x + y + * z) + ``` + If there are multiple candidates, include the break at the first opportunity. +9. All preceeding rules may be broken if there is a clear reason to do so. Examples include: + - They conflict with other style rules. For example, there is not supposed to be + whitepace surrounding the `**` operator, but one can imagine a chain of `**` + operations that exhausts the character limit of a line. + - Domain knowledge suggests a reason. For instance, in the expression + `t = (x + y) - z`, it may be important to emphasize that the addition should be + performed first for numerical reasons or because `(x + y)` is a conceptually + important quantity. In such cases, consider adding a comment, e.g. + ```python3 + t = (x + y) - z # perform `x + y` first for precision + ``` + or breaking the expressions into separate logical lines, e.g. + ``` + w = x + y + t = w - z + ``` + +[^1]: There is a case for simply eliminating spaces to reinforce the implicit order + of operations, as in `x==y or w==t`. However, if this were the rule, following + the rule would require users to remember the full order of operations hierarchy + and apply it without mistakes. Use of explicit parentheses with non-PEMDAS + operators leads to simpler rules, is more explicit, and is not uncommon in + existing code. From 5f4b20a9fd4c88dff2a2aa8c71d4d411cd3a8c29 Mon Sep 17 00:00:00 2001 From: Pamphile Roy <23188539+tupui@users.noreply.github.com> Date: Sun, 14 Jul 2024 20:14:40 +0200 Subject: [PATCH 04/20] Apply suggestions from code review Co-authored-by: Matt Haberland --- spec-0012/index.md | 39 ++++++++++++++++++++------------------- 1 file changed, 20 insertions(+), 19 deletions(-) diff --git a/spec-0012/index.md b/spec-0012/index.md index 87e77f44..5529d44c 100644 --- a/spec-0012/index.md +++ b/spec-0012/index.md @@ -14,7 +14,7 @@ endorsed-by: PEP8 and other established styling documents do not include guidelines about styling mathematical expressions. This leads to individual interpretation and styles which may conflict with those of others. We seek to standardizing the -way we represent mathematics for the same reason we standardize other code: +way we represent mathematics for the same reason we standardize other code: it brings consistency to the ecosystem and allows collaborators to focus on more important aspects of the code. @@ -45,7 +45,7 @@ As another example, in `x + y*z`, `y*z` is a subexpression because it could be m explicit as in `x + (y*z)` without changing the order of operations. However, `x + y` would not be a subexpression because `(x + y)*z` would change the order of operations. Note that `x + y*z` as a whole may also be referred to as a "subexpression" rather than -an "expression" even though `(x + y*z)` is not a "proper" subset of the whole. +an "expression" even though `(x + y*z)` is not a proper subset of the whole. A "simple" expression is an expression involving only one operator priority level without considering the operators within explicit subexpressions. @@ -61,7 +61,7 @@ regarded as `(...)`. - `x * y + z` is a compound expression; there are two operators and no explicit subexpressions that can be ignored. -The acronym PEMDAS commonly refers to "parentheses", "exponential", "multiplication", +The acronym PEMDAS commonly refers to "parentheses", "exponentiation", "multiplication", "division", "addition", and "subtraction". Herein, we will consider these operators to be "PEMDAS operators", and we will also include the unary `+`, `-`, and `~` in this category for convenience. The order of operations of PEMDAS operators is typically @@ -74,11 +74,12 @@ acronym, namely MD and AS, will be used below to refer to the corresponding oper ## Implementation -The following rules are not imagined to be all encompassing, and may be +The following rules are not imagined to be all encompassing, and there may be syntactically valid cases in which the following rules would lead to contradictions. Nonetheless, we expect them to be useful in most cases, and projects that adopt the -SPEC endeavor to use them in typical cases. These rules are intended to respect and -complement the PEP8 rules (relevant sections includes [id20](https://www.python.org/dev/peps/pep-0008/#id20) and [id20](https://www.python.org/dev/peps/pep-0008/#id28)). +SPEC endeavor to use them where practical. These rules are intended to respect and +complement the PEP8 rules (relevant sections includes [id20](https://www.python.org/dev/peps/pep-0008/#id20) +and [id28](https://www.python.org/dev/peps/pep-0008/#id28)). 0. Unless required by other rules, rely on the implicit order of operations; i.e., do not add extraneous parentheses. For example, prefer `u**v + y**z` @@ -139,7 +140,7 @@ complement the PEP8 rules (relevant sections includes [id20](https://www.python. (t + (w + (x + (y + z))))) ``` - (if this break satisfies other requirements) over + over ```python3 (t + (w + (x + (y + z))))) @@ -162,18 +163,18 @@ complement the PEP8 rules (relevant sections includes [id20](https://www.python. - They conflict with other style rules. For example, there is not supposed to be whitepace surrounding the `**` operator, but one can imagine a chain of `**` operations that exhausts the character limit of a line. - - Domain knowledge suggests a reason. For instance, in the expression - `t = (x + y) - z`, it may be important to emphasize that the addition should be - performed first for numerical reasons or because `(x + y)` is a conceptually - important quantity. In such cases, consider adding a comment, e.g. - ```python3 - t = (x + y) - z # perform `x + y` first for precision - ``` - or breaking the expressions into separate logical lines, e.g. - ``` - w = x + y - t = w - z - ``` + - Domain knowledge suggests a reason. For instance, in the expression + `t = (x + y) - z`, it may be important to emphasize that the addition should be + performed first for numerical reasons or because `(x + y)` is a conceptually + important quantity. In such cases, consider adding a comment, e.g. + ```python3 + t = (x + y) - z # perform `x + y` first for precision + ``` + or breaking the expressions into separate logical lines, e.g. + ```python3 + w = x + y + t = w - z + ``` [^1]: There is a case for simply eliminating spaces to reinforce the implicit order of operations, as in `x==y or w==t`. However, if this were the rule, following From 34aa82500562e91a465f71c89df23adb48770032 Mon Sep 17 00:00:00 2001 From: Matt Haberland Date: Mon, 15 Jul 2024 00:07:33 -0700 Subject: [PATCH 05/20] Improvements per self-review --- spec-0012/index.md | 130 ++++++++++++++++++++++++++------------------- 1 file changed, 75 insertions(+), 55 deletions(-) diff --git a/spec-0012/index.md b/spec-0012/index.md index 5529d44c..0e6c845f 100644 --- a/spec-0012/index.md +++ b/spec-0012/index.md @@ -14,7 +14,7 @@ endorsed-by: PEP8 and other established styling documents do not include guidelines about styling mathematical expressions. This leads to individual interpretation and styles which may conflict with those of others. We seek to standardizing the -way we represent mathematics for the same reason we standardize other code: +way we represent mathematics for the same reason we standardize other code: it brings consistency to the ecosystem and allows collaborators to focus on more important aspects of the code. @@ -78,34 +78,35 @@ The following rules are not imagined to be all encompassing, and there may be syntactically valid cases in which the following rules would lead to contradictions. Nonetheless, we expect them to be useful in most cases, and projects that adopt the SPEC endeavor to use them where practical. These rules are intended to respect and -complement the PEP8 rules (relevant sections includes [id20](https://www.python.org/dev/peps/pep-0008/#id20) -and [id28](https://www.python.org/dev/peps/pep-0008/#id28)). +complement the [PEP 8 standards](https://peps.python.org/pep-0008), such as using +[implied line continuation](https://peps.python.org/pep-0008/#maximum-line-length) and +and [breaking lines before binary operators](https://peps.python.org/pep-0008/#should-a-line-break-before-or-after-a-binary-operator). -0. Unless required by other rules, rely on the implicit order of operations; +0. Unless otherwise specified, rely on the implicit order of operations; i.e., do not add extraneous parentheses. For example, prefer `u**v + y**z` - over `(u**v) + (y**z)`, and prefer `x + y + z` over `(x + y) + z`. + over `(u**v) + (y**z)`, and prefer `x + y + z` over `(x + y) + z`. A full + list of implicit operator priority levels is given by + [Operator Precedence](https://docs.python.org/3/reference/expressions.html#operator-precedence) 1. Always use the `**` operator and unary `+`, `-`, and `~` operators *without* surrounding whitespace. For example, prefer `-x**4` over `- (x ** 4)`. 2. Always surround non-PEMDAS operators with whitespace, and always make the priority of - non-PEMDAS operators explicit, even if the parentheses are consistent with the - implicit order of operations. For example, prefer `(x == y) or (w == t)` over + non-PEMDAS operators explicit. For example, prefer `(x == y) or (w == t)` over `x==y or w==t`.[^1] 3. Always surround AS operators with whitespace. -4. Typically surround MD operators with whitespace, except when there are lower-priority - operators (namely AS) within the same compound expression or the division operation - would be written mathematically as a fraction with a horizontal bar. - For example, prefer `z = -x * y**t` over `z = -x*y**t`, but - prefer `z = w + x*y**t` over `z = w + x * y**t` due to the presence of the - lower-priority addition operator. Also, prefer `z = t/v * x/y` over - `z = t / v * x / y` if this would be written mathematically as the product of - two fractions. -5. According to the other rules, only `**`, `*`, `/`, and the unary `+`, `-`, and `~` +4. Typically, surround MD operators with whitespace, except in the following situations. + - When there are lower-priority operators (namely AS) within the same compound + expression. For example, prefer `z = -x * y**t` over `z = -x*y**t`, but + prefer `z = w + x*y**t` over `z = w + x * y**t` due to the presence of the + lower-priority addition operator. + - The division operation would be written mathematically as a fraction with a + horizontal bar. For example, prefer `z = t/v * x/y` over `z = t / v * x / y` + if this would be written mathematically as the product of two fractions, + e.g. $\frac{t}{v} \cdot \frac{x}{y}. +5. Considering the previous rules, only `**`, `*`, `/`, and the unary `+`, `-`, and `~` operators can appear in implicit subexpressions without spaces. In such expressions, - - Include unary operators at the left, and use at most one within an implicit - subexpression without spaces. - - Include `**` operators at the right, and use at most one within an implicit - subexpression without spaces. - + - Use at most one unary operator, and if used, ensure that it is the leftmost operator. + - Use at most `**` operator, and if used, ensure that it is the rightmost operator. + To achieve these goals, simplification or the addition of parentheses may be required. For example: - The expressions `--x` and `-~x` would be implicit subexpressions without spaces @@ -119,21 +120,20 @@ and [id28](https://www.python.org/dev/peps/pep-0008/#id28)). operator due to the presence of the lower-priority addition operator. However, this would lead to `t**v*x**y` being an implicit subexpression without spaces containing more than one `**` operator. This code would be executed as - `(t**v)*(x**y) + z`, but the explicit parentheses should be included for clarity. -6. When breaking lines at operators, always include the operator at the beginning - of the new line rather than at the end of the old line, and use parentheses if - needed to allow for implicit rather than explicit line breaks. For example, if - `x + y` must be broken, prefer - ```python3 - (x - + y) - ``` - over - ```python3 - x + \ - y - ``` -7. If required to satisfy other style requirements, include line breaks between + `(t**v)*(x**y) + z`, but the explicit parentheses should be included for clarity. + - In the expression `z + x**y/w`, no spaces are used around the division operator + due to the presence of the lower-priority addition operator. However, this would + lead to `x**y/w` being an implicit subexpression without spaces containing `**` + to the left of another operator. Options for refactoring include the addition of + parentheses (e.g. `z + (x**y)/w`) or pre-multiplying the exponential by a + fraction (i.e. `x + 1/w*x**y`). +6. Simplify combinations of unary and binary `+` and `-` operators when possible. + For example, + - prefer `x + y` over `x + +y`, + - prefer `x + y` over `x - -y`, + - prefer `x - y` over `x - +y`, and + - prefer `x - y` over `x + -y`. +7. If required to satisfy other style requirements, include line breaks before the outermost explicit subexpression possible. For example, if `t + (w + (x + (y + z))))` must be broken, prefer ```python3 @@ -147,34 +147,54 @@ and [id28](https://www.python.org/dev/peps/pep-0008/#id28)). ``` If there are multiple candidates, include the break at the first opportunity. 8. If line breaks must occur within a compound subexpression, the break should - be placed at the operator with lowest priority. For example, if + be placed before the operator with lowest priority. For example, if (x + y*z) must be broken, prefer - ``` + ```python3 (x + y*z) ``` over - ``` + ```python3 (x + y * z) ``` If there are multiple candidates, include the break at the first opportunity. -9. All preceeding rules may be broken if there is a clear reason to do so. Examples include: - - They conflict with other style rules. For example, there is not supposed to be - whitepace surrounding the `**` operator, but one can imagine a chain of `**` - operations that exhausts the character limit of a line. - - Domain knowledge suggests a reason. For instance, in the expression - `t = (x + y) - z`, it may be important to emphasize that the addition should be - performed first for numerical reasons or because `(x + y)` is a conceptually - important quantity. In such cases, consider adding a comment, e.g. - ```python3 - t = (x + y) - z # perform `x + y` first for precision - ``` - or breaking the expressions into separate logical lines, e.g. - ```python3 - w = x + y - t = w - z - ``` +9. The packages or subpackages from which mathematical functions and constants are used + should be unambiguous. For instance, if `math.log`, `numpy.sin`, `scipy.special.gamma`, + and `mpmath.mp.ncdf` are to be used in the same file, prefer imports like + ```python3 + import math + import numpy as np + from scipy import special + from mpmath import mp + mp.dps = 50 + # use math.log, np.sin, special.gamma, mp.ncdf + ``` + over + ```python3 + from scipy.special import gamma + from mpmath import * + from math import log + from numpy import sin + ``` + If all mathematical functions/constants are from the same package or subpackage, they + may be imported individually, e.g. `from numpy import log, sin, inf`. +10. Any of the preceeding rules may be broken if there is a clear reason to do so. + - *Conflict with other style rules*. For example, there is not supposed to be + whitepace surrounding the `**` operator, but one can imagine a chain of `**` + operations that exhausts the character limit of a line. + - *Domain knowledge*. For instance, in the expression + `t = (x + y) - z`, it may be important to emphasize that the addition should be + performed first for numerical reasons or because `(x + y)` is a conceptually + important quantity. In such cases, consider adding a comment, e.g. + ```python3 + t = (x + y) - z # perform `x + y` first for precision + ``` + or breaking the expressions into separate logical lines, e.g. + ```python3 + w = x + y + t = w - z + ``` [^1]: There is a case for simply eliminating spaces to reinforce the implicit order of operations, as in `x==y or w==t`. However, if this were the rule, following From 63d45e6b5f24ddd83864786cd1b1e3fe0c203602 Mon Sep 17 00:00:00 2001 From: Matt Haberland Date: Sun, 11 Aug 2024 10:40:59 -0700 Subject: [PATCH 06/20] Apply suggestions from code review --- spec-0012/index.md | 10 +++++----- 1 file changed, 5 insertions(+), 5 deletions(-) diff --git a/spec-0012/index.md b/spec-0012/index.md index 0e6c845f..f3db8091 100644 --- a/spec-0012/index.md +++ b/spec-0012/index.md @@ -74,13 +74,13 @@ acronym, namely MD and AS, will be used below to refer to the corresponding oper ## Implementation -The following rules are not imagined to be all encompassing, and there may be -syntactically valid cases in which the following rules would lead to contradictions. -Nonetheless, we expect them to be useful in most cases, and projects that adopt the -SPEC endeavor to use them where practical. These rules are intended to respect and +These rules are intended to respect and complement the [PEP 8 standards](https://peps.python.org/pep-0008), such as using [implied line continuation](https://peps.python.org/pep-0008/#maximum-line-length) and and [breaking lines before binary operators](https://peps.python.org/pep-0008/#should-a-line-break-before-or-after-a-binary-operator). +Although examples do not show the use of hanging indent, any of the indentation styles +allowed by [PEP 8 Indentation](https://peps.python.org/pep-0008/#indentation) are +permitted by this SPEC. 0. Unless otherwise specified, rely on the implicit order of operations; i.e., do not add extraneous parentheses. For example, prefer `u**v + y**z` @@ -105,7 +105,7 @@ and [breaking lines before binary operators](https://peps.python.org/pep-0008/#s 5. Considering the previous rules, only `**`, `*`, `/`, and the unary `+`, `-`, and `~` operators can appear in implicit subexpressions without spaces. In such expressions, - Use at most one unary operator, and if used, ensure that it is the leftmost operator. - - Use at most `**` operator, and if used, ensure that it is the rightmost operator. + - Use at most one `**` operator, and if used, ensure that it is the rightmost operator. To achieve these goals, simplification or the addition of parentheses may be required. For example: From f2a96a607986881e9f7a98fbc3765d396f094471 Mon Sep 17 00:00:00 2001 From: Matt Haberland Date: Sun, 11 Aug 2024 10:41:21 -0700 Subject: [PATCH 07/20] Apply suggestions from code review --- spec-0012/index.md | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/spec-0012/index.md b/spec-0012/index.md index f3db8091..a7417bcf 100644 --- a/spec-0012/index.md +++ b/spec-0012/index.md @@ -11,7 +11,8 @@ endorsed-by: ## Description -PEP8 and other established styling documents do not include guidelines about +[PEP 8](https://peps.python.org/pep-0008) +and other established styling documents do not include guidelines about styling mathematical expressions. This leads to individual interpretation and styles which may conflict with those of others. We seek to standardizing the way we represent mathematics for the same reason we standardize other code: From efa2ea8514656e79d44b1f1b50735dfac95d819f Mon Sep 17 00:00:00 2001 From: Matt Haberland Date: Sun, 11 Aug 2024 10:43:27 -0700 Subject: [PATCH 08/20] Remove old rule 9 --- spec-0012/index.md | 22 +--------------------- 1 file changed, 1 insertion(+), 21 deletions(-) diff --git a/spec-0012/index.md b/spec-0012/index.md index a7417bcf..c4697513 100644 --- a/spec-0012/index.md +++ b/spec-0012/index.md @@ -160,27 +160,7 @@ permitted by this SPEC. * z) ``` If there are multiple candidates, include the break at the first opportunity. -9. The packages or subpackages from which mathematical functions and constants are used - should be unambiguous. For instance, if `math.log`, `numpy.sin`, `scipy.special.gamma`, - and `mpmath.mp.ncdf` are to be used in the same file, prefer imports like - ```python3 - import math - import numpy as np - from scipy import special - from mpmath import mp - mp.dps = 50 - # use math.log, np.sin, special.gamma, mp.ncdf - ``` - over - ```python3 - from scipy.special import gamma - from mpmath import * - from math import log - from numpy import sin - ``` - If all mathematical functions/constants are from the same package or subpackage, they - may be imported individually, e.g. `from numpy import log, sin, inf`. -10. Any of the preceeding rules may be broken if there is a clear reason to do so. +9. Any of the preceeding rules may be broken if there is a clear reason to do so. - *Conflict with other style rules*. For example, there is not supposed to be whitepace surrounding the `**` operator, but one can imagine a chain of `**` operations that exhausts the character limit of a line. From a3d70f874c5fc0b2bc85558d1961a463a0e098f5 Mon Sep 17 00:00:00 2001 From: Pamphile Roy <23188539+tupui@users.noreply.github.com> Date: Sat, 7 Sep 2024 22:55:04 +0300 Subject: [PATCH 09/20] Update index.md Co-authored-by: Matt Haberland --- spec-0012/index.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/spec-0012/index.md b/spec-0012/index.md index c4697513..0d13f647 100644 --- a/spec-0012/index.md +++ b/spec-0012/index.md @@ -59,7 +59,7 @@ same priority level. There are no explicit subexpressions to be ignored. between `x` and the explicit subexpression `(y + z)`; we ignore the contents - and especially the operator - within the explicit subexpression; conceptually, it may regarded as `(...)`. -- `x * y + z` is a compound expression; there are two operators and no explicit +- `x*y + z` is a compound expression; there are two operators and no explicit subexpressions that can be ignored. The acronym PEMDAS commonly refers to "parentheses", "exponentiation", "multiplication", From 6c1174ecd0f7cc388a0528b7d5893abb4fb84d2d Mon Sep 17 00:00:00 2001 From: Pamphile Roy <23188539+tupui@users.noreply.github.com> Date: Sat, 7 Sep 2024 22:55:09 +0300 Subject: [PATCH 10/20] Update index.md Co-authored-by: Matt Haberland --- spec-0012/index.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/spec-0012/index.md b/spec-0012/index.md index 0d13f647..9c54ccef 100644 --- a/spec-0012/index.md +++ b/spec-0012/index.md @@ -39,7 +39,7 @@ operations. In the example above, `j` and `range(1, i + 1)` can also be referred to as explicit subexpressions of the whole expression, and `1` and `i + 1` are explicit subexpressions of the expression `range(1, i + 1)`. `i` and `1` are "implicit" subexpressions of `i + 1`: they could be written as explicit -subexpressions `(i)` and `(1)` without affecting the order of operations, but they +subexpressions `(i)` and `(1)` without affecting the order of operations, but they are not explicit as written. As another example, in `x + y*z`, `y*z` is a subexpression because it could be made From 39d2fc229b4adcb8053f73bdc0a9024a0d1f0327 Mon Sep 17 00:00:00 2001 From: Pamphile Roy <23188539+tupui@users.noreply.github.com> Date: Sat, 7 Sep 2024 22:55:20 +0300 Subject: [PATCH 11/20] Update index.md Co-authored-by: Matt Haberland --- spec-0012/index.md | 1 + 1 file changed, 1 insertion(+) diff --git a/spec-0012/index.md b/spec-0012/index.md index 9c54ccef..9a72b1c0 100644 --- a/spec-0012/index.md +++ b/spec-0012/index.md @@ -107,6 +107,7 @@ permitted by this SPEC. operators can appear in implicit subexpressions without spaces. In such expressions, - Use at most one unary operator, and if used, ensure that it is the leftmost operator. - Use at most one `**` operator, and if used, ensure that it is the rightmost operator. + - Use at most one `/` operator, and if used, ensure that it is the rightmost operator except for `**`. To achieve these goals, simplification or the addition of parentheses may be required. For example: From 07e93f4cd7ad5f4e0d7157c560173d12eefb32d7 Mon Sep 17 00:00:00 2001 From: Stefan van der Walt Date: Fri, 13 Sep 2024 11:45:30 -0700 Subject: [PATCH 12/20] Run linter --- spec-0012/index.md | 85 +++++++++++++++++++++++++--------------------- 1 file changed, 46 insertions(+), 39 deletions(-) diff --git a/spec-0012/index.md b/spec-0012/index.md index 9a72b1c0..03fa7c9d 100644 --- a/spec-0012/index.md +++ b/spec-0012/index.md @@ -27,16 +27,18 @@ An "explicit" expression is a code expression enclosed within parentheses or otherwise syntactically separated from other expressions (i.e. by code other than operators, whitespace, literals, or variables). For example, in the list comprehension: + ```python3 for j in range(1, i + 1) ``` + The output expression `j` is one explicit expression and the input sequence -`range(1, i + 1)` is another. +`range(1, i + 1)` is another. A "subexpression" is subset of an expression that is either explicit or could be made explicit (i.e. with parentheses) without affecting the order of operations. In the example above, `j` and `range(1, i + 1)` can also be -referred to as explicit subexpressions of the whole expression, and `1` and +referred to as explicit subexpressions of the whole expression, and `1` and `i + 1` are explicit subexpressions of the expression `range(1, i + 1)`. `i` and `1` are "implicit" subexpressions of `i + 1`: they could be written as explicit subexpressions `(i)` and `(1)` without affecting the order of operations, but they @@ -52,15 +54,16 @@ A "simple" expression is an expression involving only one operator priority leve without considering the operators within explicit subexpressions. A "compound" expression is an expression involving more than one operator priority level without considering the contents of explicit subexpressions. -For example, +For example, + - `x + y - z` is a simple expression because `+` and `-` have the -same priority level. There are no explicit subexpressions to be ignored. + same priority level. There are no explicit subexpressions to be ignored. - `x * (y + z)` is also a simple expression because there is only one operator -between `x` and the explicit subexpression `(y + z)`; we ignore the contents - and -especially the operator - within the explicit subexpression; conceptually, it may -regarded as `(...)`. + between `x` and the explicit subexpression `(y + z)`; we ignore the contents - and + especially the operator - within the explicit subexpression; conceptually, it may + regarded as `(...)`. - `x*y + z` is a compound expression; there are two operators and no explicit -subexpressions that can be ignored. + subexpressions that can be ignored. The acronym PEMDAS commonly refers to "parentheses", "exponentiation", "multiplication", "division", "addition", and "subtraction". Herein, we will consider these operators @@ -88,8 +91,8 @@ permitted by this SPEC. over `(u**v) + (y**z)`, and prefer `x + y + z` over `(x + y) + z`. A full list of implicit operator priority levels is given by [Operator Precedence](https://docs.python.org/3/reference/expressions.html#operator-precedence) -1. Always use the `**` operator and unary `+`, `-`, and `~` operators *without* - surrounding whitespace. For example, prefer `-x**4` over `- (x ** 4)`. +1. Always use the `**` operator and unary `+`, `-`, and `~` operators _without_ + surrounding whitespace. For example, prefer `-x**4` over `- (x ** 4)`. 2. Always surround non-PEMDAS operators with whitespace, and always make the priority of non-PEMDAS operators explicit. For example, prefer `(x == y) or (w == t)` over `x==y or w==t`.[^1] @@ -101,16 +104,18 @@ permitted by this SPEC. lower-priority addition operator. - The division operation would be written mathematically as a fraction with a horizontal bar. For example, prefer `z = t/v * x/y` over `z = t / v * x / y` - if this would be written mathematically as the product of two fractions, + if this would be written mathematically as the product of two fractions, e.g. $\frac{t}{v} \cdot \frac{x}{y}. 5. Considering the previous rules, only `**`, `*`, `/`, and the unary `+`, `-`, and `~` operators can appear in implicit subexpressions without spaces. In such expressions, + - Use at most one unary operator, and if used, ensure that it is the leftmost operator. - Use at most one `**` operator, and if used, ensure that it is the rightmost operator. - Use at most one `/` operator, and if used, ensure that it is the rightmost operator except for `**`. To achieve these goals, simplification or the addition of parentheses may be required. For example: + - The expressions `--x` and `-~x` would be implicit subexpressions without spaces containing more than one unary operator. The former can be simplified to `+x` or simply `x`, and the latter requires explicit parentheses, i.e. `-(~x)`. @@ -121,14 +126,15 @@ permitted by this SPEC. - In the expression `t**v*x**y + z`, no spaces are used around the multiplication operator due to the presence of the lower-priority addition operator. However, this would lead to `t**v*x**y` being an implicit subexpression without spaces - containing more than one `**` operator. This code would be executed as - `(t**v)*(x**y) + z`, but the explicit parentheses should be included for clarity. + containing more than one `**` operator. This code would be executed as + `(t**v)*(x**y) + z`, but the explicit parentheses should be included for clarity. - In the expression `z + x**y/w`, no spaces are used around the division operator due to the presence of the lower-priority addition operator. However, this would lead to `x**y/w` being an implicit subexpression without spaces containing `**` to the left of another operator. Options for refactoring include the addition of parentheses (e.g. `z + (x**y)/w`) or pre-multiplying the exponential by a fraction (i.e. `x + 1/w*x**y`). + 6. Simplify combinations of unary and binary `+` and `-` operators when possible. For example, - prefer `x + y` over `x + +y`, @@ -139,18 +145,18 @@ permitted by this SPEC. the outermost explicit subexpression possible. For example, if `t + (w + (x + (y + z))))` must be broken, prefer ```python3 - (t + (t + (w + (x + (y + z))))) ``` over ```python3 - (t + (w + (x + (y + (t + (w + (x + (y + z))))) ``` If there are multiple candidates, include the break at the first opportunity. 8. If line breaks must occur within a compound subexpression, the break should be placed before the operator with lowest priority. For example, if - (x + y*z) must be broken, prefer + (x + y\*z) must be broken, prefer ```python3 (x + y*z) @@ -161,26 +167,27 @@ permitted by this SPEC. * z) ``` If there are multiple candidates, include the break at the first opportunity. -9. Any of the preceeding rules may be broken if there is a clear reason to do so. - - *Conflict with other style rules*. For example, there is not supposed to be - whitepace surrounding the `**` operator, but one can imagine a chain of `**` - operations that exhausts the character limit of a line. - - *Domain knowledge*. For instance, in the expression - `t = (x + y) - z`, it may be important to emphasize that the addition should be - performed first for numerical reasons or because `(x + y)` is a conceptually - important quantity. In such cases, consider adding a comment, e.g. - ```python3 - t = (x + y) - z # perform `x + y` first for precision - ``` - or breaking the expressions into separate logical lines, e.g. - ```python3 - w = x + y - t = w - z - ``` - -[^1]: There is a case for simply eliminating spaces to reinforce the implicit order - of operations, as in `x==y or w==t`. However, if this were the rule, following - the rule would require users to remember the full order of operations hierarchy - and apply it without mistakes. Use of explicit parentheses with non-PEMDAS - operators leads to simpler rules, is more explicit, and is not uncommon in - existing code. +9. Any of the preceding rules may be broken if there is a clear reason to do so. + - _Conflict with other style rules_. For example, there is not supposed to be + whitepace surrounding the `**` operator, but one can imagine a chain of `**` + operations that exhausts the character limit of a line. + - _Domain knowledge_. For instance, in the expression + `t = (x + y) - z`, it may be important to emphasize that the addition should be + performed first for numerical reasons or because `(x + y)` is a conceptually + important quantity. In such cases, consider adding a comment, e.g. + ```python3 + t = (x + y) - z # perform `x + y` first for precision + ``` + or breaking the expressions into separate logical lines, e.g. + ```python3 + w = x + y + t = w - z + ``` + +[^1]: + There is a case for simply eliminating spaces to reinforce the implicit order + of operations, as in `x==y or w==t`. However, if this were the rule, following + the rule would require users to remember the full order of operations hierarchy + and apply it without mistakes. Use of explicit parentheses with non-PEMDAS + operators leads to simpler rules, is more explicit, and is not uncommon in + existing code. From 92093c566e43ceeafb422cef05496f48fa70a373 Mon Sep 17 00:00:00 2001 From: Stefan van der Walt Date: Fri, 13 Sep 2024 13:35:30 -0700 Subject: [PATCH 13/20] Fix spelling error --- spec-0012/index.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/spec-0012/index.md b/spec-0012/index.md index 03fa7c9d..5b46a9ca 100644 --- a/spec-0012/index.md +++ b/spec-0012/index.md @@ -169,7 +169,7 @@ permitted by this SPEC. If there are multiple candidates, include the break at the first opportunity. 9. Any of the preceding rules may be broken if there is a clear reason to do so. - _Conflict with other style rules_. For example, there is not supposed to be - whitepace surrounding the `**` operator, but one can imagine a chain of `**` + whitespace surrounding the `**` operator, but one can imagine a chain of `**` operations that exhausts the character limit of a line. - _Domain knowledge_. For instance, in the expression `t = (x + y) - z`, it may be important to emphasize that the addition should be From 5e7a2858d8db62058f7bb8ee3fc6e7d3da10e022 Mon Sep 17 00:00:00 2001 From: Matt Haberland Date: Sat, 28 Sep 2024 19:25:12 -0700 Subject: [PATCH 14/20] Update spec-0012/index.md --- spec-0012/index.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/spec-0012/index.md b/spec-0012/index.md index 5b46a9ca..8077042f 100644 --- a/spec-0012/index.md +++ b/spec-0012/index.md @@ -105,7 +105,7 @@ permitted by this SPEC. - The division operation would be written mathematically as a fraction with a horizontal bar. For example, prefer `z = t/v * x/y` over `z = t / v * x / y` if this would be written mathematically as the product of two fractions, - e.g. $\frac{t}{v} \cdot \frac{x}{y}. + e.g. $\frac{t}{v} \cdot \frac{x}{y}$. 5. Considering the previous rules, only `**`, `*`, `/`, and the unary `+`, `-`, and `~` operators can appear in implicit subexpressions without spaces. In such expressions, From 503ce73e6c487cf99f4f251139b1b7cb49897c87 Mon Sep 17 00:00:00 2001 From: Matt Haberland Date: Sat, 12 Oct 2024 12:56:41 -0700 Subject: [PATCH 15/20] MAINT: adjustments per review --- spec-0012/index.md | 162 ++++++++++++++++++++++----------------------- 1 file changed, 81 insertions(+), 81 deletions(-) diff --git a/spec-0012/index.md b/spec-0012/index.md index 8077042f..34c27dba 100644 --- a/spec-0012/index.md +++ b/spec-0012/index.md @@ -12,94 +12,37 @@ endorsed-by: ## Description [PEP 8](https://peps.python.org/pep-0008) -and other established styling documents do not include guidelines about -styling mathematical expressions. This leads to individual interpretation and -styles which may conflict with those of others. We seek to standardizing the -way we represent mathematics for the same reason we standardize other code: -it brings consistency to the ecosystem and allows collaborators to focus on -more important aspects of the code. - -This SPEC standardize the formatting of mathematical expressions. - -## Terminology - -An "explicit" expression is a code expression enclosed within parentheses or -otherwise syntactically separated from other expressions (i.e. by code other -than operators, whitespace, literals, or variables). For example, in the list -comprehension: - -```python3 -for j in range(1, i + 1) -``` - -The output expression `j` is one explicit expression and the input sequence -`range(1, i + 1)` is another. - -A "subexpression" is subset of an expression that is either explicit or could -be made explicit (i.e. with parentheses) without affecting the order of -operations. In the example above, `j` and `range(1, i + 1)` can also be -referred to as explicit subexpressions of the whole expression, and `1` and -`i + 1` are explicit subexpressions of the expression `range(1, i + 1)`. `i` and -`1` are "implicit" subexpressions of `i + 1`: they could be written as explicit -subexpressions `(i)` and `(1)` without affecting the order of operations, but they -are not explicit as written. - -As another example, in `x + y*z`, `y*z` is a subexpression because it could be made -explicit as in `x + (y*z)` without changing the order of operations. However, `x + y` -would not be a subexpression because `(x + y)*z` would change the order of operations. -Note that `x + y*z` as a whole may also be referred to as a "subexpression" rather than -an "expression" even though `(x + y*z)` is not a proper subset of the whole. - -A "simple" expression is an expression involving only one operator priority level -without considering the operators within explicit subexpressions. -A "compound" expression is an expression involving more than one operator -priority level without considering the contents of explicit subexpressions. -For example, - -- `x + y - z` is a simple expression because `+` and `-` have the - same priority level. There are no explicit subexpressions to be ignored. -- `x * (y + z)` is also a simple expression because there is only one operator - between `x` and the explicit subexpression `(y + z)`; we ignore the contents - and - especially the operator - within the explicit subexpression; conceptually, it may - regarded as `(...)`. -- `x*y + z` is a compound expression; there are two operators and no explicit - subexpressions that can be ignored. +and other established styling documents either +- lack comprehensive guidelines about mathematical expressions, or +- provide simple rules that ignore the relationship between formatting and readability. -The acronym PEMDAS commonly refers to "parentheses", "exponentiation", "multiplication", -"division", "addition", and "subtraction". Herein, we will consider these operators -to be "PEMDAS operators", and we will also include the unary `+`, `-`, and `~` in -this category for convenience. The order of operations of PEMDAS operators is typically -taught in primary school and reinforced throughout a programmer's training and -experience, so it is assumed that most programmers are comfortable relying on the -implicit order of operations of expressions involving a few PEMDAS operations. Implicit -order of operations becomes less obvious as the number of distinct operator priority -levels increases and when multiple non-PEMDAS operators are involved. Portions of this -acronym, namely MD and AS, will be used below to refer to the corresponding operators. +In practice, this leads to varying, even conflicting, mathematical expression +styles across the ecosystem. We seek to standardize the representation of +mathematical code for the same reason we standardize formatting of other code: +it brings consistency to the ecosystem and allows collaborators to focus on +more important aspects of their work. ## Implementation These rules are intended to respect and complement the [PEP 8 standards](https://peps.python.org/pep-0008), such as using [implied line continuation](https://peps.python.org/pep-0008/#maximum-line-length) and -and [breaking lines before binary operators](https://peps.python.org/pep-0008/#should-a-line-break-before-or-after-a-binary-operator). -Although examples do not show the use of hanging indent, any of the indentation styles -allowed by [PEP 8 Indentation](https://peps.python.org/pep-0008/#indentation) are -permitted by this SPEC. +and [breaking lines before binary operators](https://peps.python.org/pep-0008/#should-a-line-break-before-or-after-a-binary-operator)[^1]. 0. Unless otherwise specified, rely on the implicit order of operations; i.e., do not add extraneous parentheses. For example, prefer `u**v + y**z` over `(u**v) + (y**z)`, and prefer `x + y + z` over `(x + y) + z`. A full list of implicit operator priority levels is given by - [Operator Precedence](https://docs.python.org/3/reference/expressions.html#operator-precedence) + [Operator Precedence](https://docs.python.org/3/reference/expressions.html#operator-precedence). 1. Always use the `**` operator and unary `+`, `-`, and `~` operators _without_ surrounding whitespace. For example, prefer `-x**4` over `- (x ** 4)`. -2. Always surround non-PEMDAS operators with whitespace, and always make the priority of +2. Always surround non-PEMDAS[^2] operators with whitespace, and always make the priority of non-PEMDAS operators explicit. For example, prefer `(x == y) or (w == t)` over - `x==y or w==t`.[^1] -3. Always surround AS operators with whitespace. -4. Typically, surround MD operators with whitespace, except in the following situations. + `x==y or w==t`.[^3] +3. Always surround AS[^2] operators with whitespace. +4. Typically, surround MD[^2] operators with whitespace, except in the following situations. - When there are lower-priority operators (namely AS) within the same compound - expression. For example, prefer `z = -x * y**t` over `z = -x*y**t`, but + expression[^4]. For example, prefer `z = -x * y**t` over `z = -x*y**t`, but prefer `z = w + x*y**t` over `z = w + x * y**t` due to the presence of the lower-priority addition operator. - The division operation would be written mathematically as a fraction with a @@ -107,8 +50,7 @@ permitted by this SPEC. if this would be written mathematically as the product of two fractions, e.g. $\frac{t}{v} \cdot \frac{x}{y}$. 5. Considering the previous rules, only `**`, `*`, `/`, and the unary `+`, `-`, and `~` - operators can appear in implicit subexpressions without spaces. In such expressions, - + operators can appear in implicit subexpressions[^4] without spaces. In such expressions, - Use at most one unary operator, and if used, ensure that it is the leftmost operator. - Use at most one `**` operator, and if used, ensure that it is the rightmost operator. - Use at most one `/` operator, and if used, ensure that it is the rightmost operator except for `**`. @@ -184,10 +126,68 @@ permitted by this SPEC. t = w - z ``` -[^1]: - There is a case for simply eliminating spaces to reinforce the implicit order - of operations, as in `x==y or w==t`. However, if this were the rule, following - the rule would require users to remember the full order of operations hierarchy - and apply it without mistakes. Use of explicit parentheses with non-PEMDAS - operators leads to simpler rules, is more explicit, and is not uncommon in - existing code. +## Terminology + +An "explicit" expression is a code expression enclosed within parentheses or +otherwise syntactically separated from other expressions (i.e. by code other +than operators, whitespace, literals, or variables). For example, in the list +comprehension: + +```python3 +for j in range(1, i + 1) +``` + +The output expression `j` is one explicit expression and the input sequence +`range(1, i + 1)` is another. + +A "subexpression" is subset of an expression that is either explicit or could +be made explicit (i.e. with parentheses) without affecting the order of +operations. In the example above, `j` and `range(1, i + 1)` can also be +referred to as explicit subexpressions of the whole expression, and `1` and +`i + 1` are explicit subexpressions of the expression `range(1, i + 1)`. `i` and +`1` are "implicit" subexpressions of `i + 1`: they could be written as explicit +subexpressions `(i)` and `(1)` without affecting the order of operations, but they +are not explicit as written. + +As another example, in `x + y*z`, `y*z` is a subexpression because it could be made +explicit as in `x + (y*z)` without changing the order of operations. However, `x + y` +would not be a subexpression because `(x + y)*z` would change the order of operations. +Note that `x + y*z` as a whole may also be referred to as a "subexpression" rather than +an "expression" even though `(x + y*z)` is not a proper subset of the whole. + +A "simple" expression is an expression involving only one operator priority level +without considering the operators within explicit subexpressions. +A "compound" expression is an expression involving more than one operator +priority level without considering the contents of explicit subexpressions. +For example, + +- `x + y - z` is a simple expression because `+` and `-` have the + same priority level. There are no explicit subexpressions to be ignored. +- `x * (y + z)` is also a simple expression because there is only one operator + between `x` and the explicit subexpression `(y + z)`; we ignore the contents - and + especially the operator - within the explicit subexpression; conceptually, it may + regarded as `(...)`. +- `x*y + z` is a compound expression; there are two operators and no explicit + subexpressions that can be ignored. + +[^1]: Although examples do not show the use of hanging indent, any of the indentation styles + allowed by [PEP 8 Indentation](https://peps.python.org/pep-0008/#indentation) are permitted + by this SPEC. +[^2]: The acronym PEMDAS commonly refers to "parentheses", "exponentiation", "multiplication", + "division", "addition", and "subtraction". Herein, we will consider these operators + to be "PEMDAS operators", and we will also include the unary `+`, `-`, and `~` in + this category for convenience. The order of operations of PEMDAS operators is typically + taught in primary school and reinforced throughout a programmer's training and + experience, so it is assumed that most programmers are comfortable relying on the + implicit order of operations of expressions involving a few PEMDAS operations. Implicit + order of operations becomes less obvious as the number of distinct operator priority + levels increases and when multiple non-PEMDAS operators are involved. Portions of this + acronym, namely MD and AS, will be used to refer to the corresponding operators. +[^3]: There is a case for simply eliminating spaces to reinforce the implicit order + of operations, as in `x==y or w==t`. However, if this were the rule, following + the rule would require users to remember the full order of operations hierarchy + and apply it without mistakes. Use of explicit parentheses with non-PEMDAS + operators leads to simpler rules, is more explicit, and is not uncommon in + existing code. +[^4]: For definitions of "explicit"/"implicit" and "simple"/"compound" + "expressions"/"subexpressions", see Terminology. From e4f3c6f300221bcfc2c7e737bf1ab0dde9776918 Mon Sep 17 00:00:00 2001 From: "pre-commit-ci[bot]" <66853113+pre-commit-ci[bot]@users.noreply.github.com> Date: Sat, 12 Oct 2024 20:57:14 +0000 Subject: [PATCH 16/20] =?UTF-8?q?[pre-commit.ci=20=F0=9F=A4=96]=20Apply=20?= =?UTF-8?q?code=20format=20tools=20to=20PR?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- spec-0012/index.md | 51 +++++++++++++++++++++++++++------------------- 1 file changed, 30 insertions(+), 21 deletions(-) diff --git a/spec-0012/index.md b/spec-0012/index.md index 34c27dba..ef6f0772 100644 --- a/spec-0012/index.md +++ b/spec-0012/index.md @@ -13,6 +13,7 @@ endorsed-by: [PEP 8](https://peps.python.org/pep-0008) and other established styling documents either + - lack comprehensive guidelines about mathematical expressions, or - provide simple rules that ignore the relationship between formatting and readability. @@ -51,6 +52,7 @@ and [breaking lines before binary operators](https://peps.python.org/pep-0008/#s e.g. $\frac{t}{v} \cdot \frac{x}{y}$. 5. Considering the previous rules, only `**`, `*`, `/`, and the unary `+`, `-`, and `~` operators can appear in implicit subexpressions[^4] without spaces. In such expressions, + - Use at most one unary operator, and if used, ensure that it is the leftmost operator. - Use at most one `**` operator, and if used, ensure that it is the rightmost operator. - Use at most one `/` operator, and if used, ensure that it is the rightmost operator except for `**`. @@ -170,24 +172,31 @@ For example, - `x*y + z` is a compound expression; there are two operators and no explicit subexpressions that can be ignored. -[^1]: Although examples do not show the use of hanging indent, any of the indentation styles - allowed by [PEP 8 Indentation](https://peps.python.org/pep-0008/#indentation) are permitted - by this SPEC. -[^2]: The acronym PEMDAS commonly refers to "parentheses", "exponentiation", "multiplication", - "division", "addition", and "subtraction". Herein, we will consider these operators - to be "PEMDAS operators", and we will also include the unary `+`, `-`, and `~` in - this category for convenience. The order of operations of PEMDAS operators is typically - taught in primary school and reinforced throughout a programmer's training and - experience, so it is assumed that most programmers are comfortable relying on the - implicit order of operations of expressions involving a few PEMDAS operations. Implicit - order of operations becomes less obvious as the number of distinct operator priority - levels increases and when multiple non-PEMDAS operators are involved. Portions of this - acronym, namely MD and AS, will be used to refer to the corresponding operators. -[^3]: There is a case for simply eliminating spaces to reinforce the implicit order - of operations, as in `x==y or w==t`. However, if this were the rule, following - the rule would require users to remember the full order of operations hierarchy - and apply it without mistakes. Use of explicit parentheses with non-PEMDAS - operators leads to simpler rules, is more explicit, and is not uncommon in - existing code. -[^4]: For definitions of "explicit"/"implicit" and "simple"/"compound" - "expressions"/"subexpressions", see Terminology. +[^1]: + Although examples do not show the use of hanging indent, any of the indentation styles + allowed by [PEP 8 Indentation](https://peps.python.org/pep-0008/#indentation) are permitted + by this SPEC. + +[^2]: + The acronym PEMDAS commonly refers to "parentheses", "exponentiation", "multiplication", + "division", "addition", and "subtraction". Herein, we will consider these operators + to be "PEMDAS operators", and we will also include the unary `+`, `-`, and `~` in + this category for convenience. The order of operations of PEMDAS operators is typically + taught in primary school and reinforced throughout a programmer's training and + experience, so it is assumed that most programmers are comfortable relying on the + implicit order of operations of expressions involving a few PEMDAS operations. Implicit + order of operations becomes less obvious as the number of distinct operator priority + levels increases and when multiple non-PEMDAS operators are involved. Portions of this + acronym, namely MD and AS, will be used to refer to the corresponding operators. + +[^3]: + There is a case for simply eliminating spaces to reinforce the implicit order + of operations, as in `x==y or w==t`. However, if this were the rule, following + the rule would require users to remember the full order of operations hierarchy + and apply it without mistakes. Use of explicit parentheses with non-PEMDAS + operators leads to simpler rules, is more explicit, and is not uncommon in + existing code. + +[^4]: + For definitions of "explicit"/"implicit" and "simple"/"compound" + "expressions"/"subexpressions", see Terminology. From 5b738a7a7273fa10bbaa5af2a24ecc66929cd270 Mon Sep 17 00:00:00 2001 From: Matt Haberland Date: Tue, 5 Nov 2024 09:28:14 -0800 Subject: [PATCH 17/20] Apply suggestions from code review --- spec-0012/index.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/spec-0012/index.md b/spec-0012/index.md index ef6f0772..0b9d7aec 100644 --- a/spec-0012/index.md +++ b/spec-0012/index.md @@ -100,7 +100,7 @@ and [breaking lines before binary operators](https://peps.python.org/pep-0008/#s If there are multiple candidates, include the break at the first opportunity. 8. If line breaks must occur within a compound subexpression, the break should be placed before the operator with lowest priority. For example, if - (x + y\*z) must be broken, prefer + (x + y*z) must be broken, prefer ```python3 (x + y*z) @@ -136,7 +136,7 @@ than operators, whitespace, literals, or variables). For example, in the list comprehension: ```python3 -for j in range(1, i + 1) +[j for j in range(1, i + 1)] ``` The output expression `j` is one explicit expression and the input sequence From bed0e027b379bd468b6bcbd6bf086f8eecd85ad7 Mon Sep 17 00:00:00 2001 From: Matt Haberland Date: Wed, 20 Nov 2024 12:22:18 -0800 Subject: [PATCH 18/20] Apply suggestions from code review --- spec-0012/index.md | 9 ++++----- 1 file changed, 4 insertions(+), 5 deletions(-) diff --git a/spec-0012/index.md b/spec-0012/index.md index 0b9d7aec..cc0e0ee3 100644 --- a/spec-0012/index.md +++ b/spec-0012/index.md @@ -44,9 +44,9 @@ and [breaking lines before binary operators](https://peps.python.org/pep-0008/#s 4. Typically, surround MD[^2] operators with whitespace, except in the following situations. - When there are lower-priority operators (namely AS) within the same compound expression[^4]. For example, prefer `z = -x * y**t` over `z = -x*y**t`, but - prefer `z = w + x*y**t` over `z = w + x * y**t` due to the presence of the + prefer `z = w - x*y**t` over `z = w - x * y**t` due to the presence of the lower-priority addition operator. - - The division operation would be written mathematically as a fraction with a + - When the division operation would be written mathematically as a fraction with a horizontal bar. For example, prefer `z = t/v * x/y` over `z = t / v * x / y` if this would be written mathematically as the product of two fractions, e.g. $\frac{t}{v} \cdot \frac{x}{y}$. @@ -75,9 +75,8 @@ and [breaking lines before binary operators](https://peps.python.org/pep-0008/#s - In the expression `z + x**y/w`, no spaces are used around the division operator due to the presence of the lower-priority addition operator. However, this would lead to `x**y/w` being an implicit subexpression without spaces containing `**` - to the left of another operator. Options for refactoring include the addition of - parentheses (e.g. `z + (x**y)/w`) or pre-multiplying the exponential by a - fraction (i.e. `x + 1/w*x**y`). + to the left of another operator. This code would be executed as `z + (x**y)/w`, + but the explicit parentheses should be included for clarity. 6. Simplify combinations of unary and binary `+` and `-` operators when possible. For example, From 8b5b767f7719c834e7a5c849718ef79c9d757b0c Mon Sep 17 00:00:00 2001 From: Matt Haberland Date: Wed, 20 Nov 2024 12:22:56 -0800 Subject: [PATCH 19/20] Update spec-0012/index.md --- spec-0012/index.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/spec-0012/index.md b/spec-0012/index.md index cc0e0ee3..53523c68 100644 --- a/spec-0012/index.md +++ b/spec-0012/index.md @@ -36,7 +36,7 @@ and [breaking lines before binary operators](https://peps.python.org/pep-0008/#s list of implicit operator priority levels is given by [Operator Precedence](https://docs.python.org/3/reference/expressions.html#operator-precedence). 1. Always use the `**` operator and unary `+`, `-`, and `~` operators _without_ - surrounding whitespace. For example, prefer `-x**4` over `- (x ** 4)`. + surrounding whitespace. For example, prefer `y = -x**4` over `y = - (x ** 4)`. 2. Always surround non-PEMDAS[^2] operators with whitespace, and always make the priority of non-PEMDAS operators explicit. For example, prefer `(x == y) or (w == t)` over `x==y or w==t`.[^3] From 1d01101a91e28013eca4720d4da59fda7961aa41 Mon Sep 17 00:00:00 2001 From: Matt Haberland Date: Fri, 25 Apr 2025 07:47:05 -0700 Subject: [PATCH 20/20] Update spec-0012/index.md Co-authored-by: Lucas Colley --- spec-0012/index.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/spec-0012/index.md b/spec-0012/index.md index 53523c68..d81a366c 100644 --- a/spec-0012/index.md +++ b/spec-0012/index.md @@ -45,7 +45,7 @@ and [breaking lines before binary operators](https://peps.python.org/pep-0008/#s - When there are lower-priority operators (namely AS) within the same compound expression[^4]. For example, prefer `z = -x * y**t` over `z = -x*y**t`, but prefer `z = w - x*y**t` over `z = w - x * y**t` due to the presence of the - lower-priority addition operator. + lower-priority subtraction operator. - When the division operation would be written mathematically as a fraction with a horizontal bar. For example, prefer `z = t/v * x/y` over `z = t / v * x / y` if this would be written mathematically as the product of two fractions,
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Millman " +discussion: https://discuss.scientific-python.org/t/spec-13-recommended-targets-and-naming-conventions +endorsed-by: +--- + +## Description + +For consistency and decreased cognitive load across the ecosystem, this SPEC recommends naming conventions around various project aspects--such as project structure, repository layout, folder names, task runner and `pyproject.toml` targets name. + +From a cursory survey in the Scientific Python ecosystem, we discover some frustration from contributors and maintainer when moving from one project to another and belive that consistency will make it both easier for existing maintainer to contribute to manz project as well a decreae the confusion of new developers when contributing or creating new proejcts. + +## Implementation + +We recommend that by default the targets and folder names: + - related to testing be named `tests` (and not `test`) + - related to documentation be named `docs` (and not `doc`) + - both should be lowercase. + +It is ok to have the singular aliases, but the plurals should always be the default. + +### Examples + +pyproj.toml +docs folder +pip install .[] +spin and dev.py +tox + +## Notes + +![Vote from ecosystem maintainers at the 2024 Scientific Python Ecosystem Summit in Seattle](./ecosystem_voting.jpg) From ff7d1abcbb667fd2d44540f014e074e60d0f4c9e Mon Sep 17 00:00:00 2001 From: Tupui <23188539+tupui@users.noreply.github.com> Date: Thu, 6 Jun 2024 16:41:30 -0700 Subject: [PATCH 02/20] SPEC 12: Formatting mathematical expressions --- spec-0012/index.md | 125 +++++++++++++++++++++++++++++++++ spec-0013/ecosystem_voting.jpg | Bin 280336 -> 0 bytes spec-0013/index.md | 38 ---------- 3 files changed, 125 insertions(+), 38 deletions(-) create mode 100644 spec-0012/index.md delete mode 100644 spec-0013/ecosystem_voting.jpg delete mode 100644 spec-0013/index.md diff --git a/spec-0012/index.md b/spec-0012/index.md new file mode 100644 index 00000000..0db0b00b --- /dev/null +++ b/spec-0012/index.md @@ -0,0 +1,125 @@ +--- +title: "SPEC 12 — Formatting mathematical expressions" +number: 12 +date: 2024-06-06 +author: + - "Pamphile Roy " +discussion: https://discuss.scientific-python.org/t/spec-12-formatting-mathematical-expressions +endorsed-by: +--- + +## Description + +It is known that the PEP8 and other established styling documents are missing +guidelines about mathematical expressions. This leads to people coming with +their own interpretation and style. Standardizing the way we represent maths +would lead to the same benefits seen with "normal" code. It brings consistency +in the ecosystem improving the collaborative efforts. + +This SPEC standardize the formatting of mathematical expressions. + +## Implementation + +The following rules must be followed. +These rules respect and complement the PEP8 (relevant sections includes +[id20](https://www.python.org/dev/peps/pep-0008/#id20) and +[id20](https://www.python.org/dev/peps/pep-0008/#id28)). + +We define a _group_ as a collection of operators having the same priority. +e.g. `a + b + c` is a single group, `a + b * c` is composed of two groups `a` +and `b * c`. A group is also a collection delimited with parenthesis. +`(a + b * c)` is a group. And the whole expression by itself is a +group. + +- There a space before and after `-` and `+`. Except if + the operator is used to define the sign of the number; + + ``` + a + b + -a + ``` + +- Within a group, if operators with different priorities are used, add whitespace around the operators with the lowest priority(ies). + + ``` + a + b*c + ``` + +- There is no space before and after `**`. + + ``` + a**b + ``` + +- There is no space before and after operators `*` and `/`. Only exception is if the expression consist of a single operator linking two groups with more than one + element. + + ``` + a*b + (a*b) * (c*d) + ``` + +- Operators within a group are ordered from the lowest to the highest priority. + If this is technically an issue (e.g. restriction on the AST), add + parenthesis or spaces. + + ``` + a/d*b**c + a*(b**c)/d + a*b**c / d + a * b**c / d + ``` + +- When splitting an equation, new lines should start with the operator linking + the previous and next logical block. Single digit on a line are forbidden. + + ``` + ( + a/b + + c*d + ) + ``` + +### Examples + +```python +# good +i = i + 1 +submitted += 1 +x = x*2 - 1 +hypot2 = x*x + y*y +c = (a + b) * (a - b) +dfdx = sign*(-2*x + 2*y + 2) +result = 2*x**2 + 3*x**(2/3) +y = 4*x**2 + 2*x + 1 +c_i1j = ( + 1./n**2. + *np.prod( + 0.5*(2. + abs(z_ij[i1, :]) + abs(z_ij) - abs(z_ij[i1, :] - z_ij)), axis=1 + ) +) +``` + +```python +# bad +i = i + 1 +submitted += 1 +x = x * 2 - 1 +hypot2 = x * x + y * y +c = (a + b) * (a - b) +dfdx = sign * (-2 * x + 2 * y + 2) +result = 2 * x ** 2 + 3 * x ** (2 / 3) +y = 4 * x ** 2 + 2 * x + 1 +c_i1j = ( + 1.0 + / n ** 2.0 + * np.prod( + 0.5 * (2.0 + abs(z_ij[i1, :]) + abs(z_ij) - abs(z_ij[i1, :] - z_ij)), axis=1 + ) +) +``` + +## Notes + +These formatting rules do not make any consideration in terms of performances +nor precision. 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