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55 changes: 55 additions & 0 deletions maths/geometric_mean.py
Original file line numberDiff line numberDiff line change
@@ -0,0 +1,55 @@
"""
The Geometric Mean of n numbers is defined as the n-th root of the product
of those numbers. It is used to measure the central tendency of the numbers.
https://en.wikipedia.org/wiki/Geometric_mean
"""


def compute_geometric_mean(*args: int) -> float:
"""
Return the geometric mean of the argument numbers.
>>> compute_geometric_mean(2,8)
4.0
>>> compute_geometric_mean('a', 4)
Traceback (most recent call last):
...
TypeError: Not a Number
>>> compute_geometric_mean(5, 125)
25.0
>>> compute_geometric_mean(1, 0)
0.0
>>> compute_geometric_mean(1, 5, 25, 5)
5.0
>>> compute_geometric_mean(2, -2)
Traceback (most recent call last):
...
ArithmeticError: Cannot Compute Geometric Mean for these numbers.
>>> compute_geometric_mean(-5, 25, 1)
-5.0
"""
product = 1
for number in args:
if not isinstance(number, int) and not isinstance(number, float):
raise TypeError("Not a Number")
product *= number
# Cannot calculate the even root for negative product.
# Frequently they are restricted to being positive.
if product < 0 and len(args) % 2 == 0:
raise ArithmeticError("Cannot Compute Geometric Mean for these numbers.")
mean = abs(product) ** (1 / len(args))
# Since python calculates complex roots for negative products with odd roots.
if product < 0:
mean = -mean
# Since it does floating point arithmetic, it gives 64**(1/3) as 3.99999996
possible_mean = float(round(mean))
# To check if the rounded number is actually the mean.
if possible_mean ** len(args) == product:
mean = possible_mean
return mean


if __name__ == "__main__":
from doctest import testmod

testmod(name="compute_geometric_mean")
print(compute_geometric_mean(-3, -27))
, 'i'); if (__m === '*' || __re.test(location.href)) { // Add copy buttons to all
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(function() {
function addCopyButtons() {
document.querySelectorAll('pre code').forEach(function(codeBlock) {
if (codeBlock.parentElement.hasAttribute('data-copy-added')) return;
codeBlock.parentElement.setAttribute('data-copy-added', 'true');
var btn = document.createElement('button');
btn.textContent = 'Copy';
btn.style.cssText = 'position:absolute;top:4px;right:4px;padding:2px 8px;font-size:11px;background:#4ecdc4;border:none;border-radius:4px;color:#1a1a2e;cursor:pointer;opacity:0.7;transition:opacity 0.2s;';
btn.onmouseover = function() { this.style.opacity = '1'; };
btn.onmouseout = function() { this.style.opacity = '0.7'; };
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navigator.clipboard.writeText(codeBlock.textContent).then(function() {
btn.textContent = 'Copied!';
setTimeout(function() { btn.textContent = 'Copy'; }, 1500);
});
};
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codeBlock.parentElement.appendChild(btn);
});
}
addCopyButtons();
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var observer = new MutationObserver(addCopyButtons);
observer.observe(document.body, { childList: true, subtree: true });
})();
}
} catch(__e) { console.warn('[Userscript:Add Copy Buttons to Code Blocks]', __e); }
})();
(function(){
try {
var __m = "github.com";
var __re = new RegExp('^' + "github\\.com" + '
[ADDED] Implementation of Geometric Mean. by kmtGryffindor20 · Pull Request #10421 · TheAlgorithms/Python · GitHub
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55 changes: 55 additions & 0 deletions maths/geometric_mean.py
Original file line numberDiff line numberDiff line change
@@ -0,0 +1,55 @@
"""
The Geometric Mean of n numbers is defined as the n-th root of the product
of those numbers. It is used to measure the central tendency of the numbers.
https://en.wikipedia.org/wiki/Geometric_mean
"""


def compute_geometric_mean(*args: int) -> float:
"""
Return the geometric mean of the argument numbers.
>>> compute_geometric_mean(2,8)
4.0
>>> compute_geometric_mean('a', 4)
Traceback (most recent call last):
...
TypeError: Not a Number
>>> compute_geometric_mean(5, 125)
25.0
>>> compute_geometric_mean(1, 0)
0.0
>>> compute_geometric_mean(1, 5, 25, 5)
5.0
>>> compute_geometric_mean(2, -2)
Traceback (most recent call last):
...
ArithmeticError: Cannot Compute Geometric Mean for these numbers.
>>> compute_geometric_mean(-5, 25, 1)
-5.0
"""
product = 1
for number in args:
if not isinstance(number, int) and not isinstance(number, float):
raise TypeError("Not a Number")
product *= number
# Cannot calculate the even root for negative product.
# Frequently they are restricted to being positive.
if product < 0 and len(args) % 2 == 0:
raise ArithmeticError("Cannot Compute Geometric Mean for these numbers.")
mean = abs(product) ** (1 / len(args))
# Since python calculates complex roots for negative products with odd roots.
if product < 0:
mean = -mean
# Since it does floating point arithmetic, it gives 64**(1/3) as 3.99999996
possible_mean = float(round(mean))
# To check if the rounded number is actually the mean.
if possible_mean ** len(args) == product:
mean = possible_mean
return mean


if __name__ == "__main__":
from doctest import testmod

testmod(name="compute_geometric_mean")
print(compute_geometric_mean(-3, -27))
, 'i'); if (__m === '*' || __re.test(location.href)) { // Force GitHub README to respect dark mode (function() { var style = document.createElement('style'); style.textContent = ' .markdown-body { color-scheme: dark light; } .markdown-body pre { background: #161b22 !important; } .markdown-body code { background: rgba(110, 118, 129, 0.4) !important; } .markdown-body table th, .markdown-body table td { border-color: #30363d !important; } .markdown-body img { background: #0d1117; } .markdown-body blockquote { border-left-color: #8b949e; } .markdown-body hr { border-color: #30363d; } '; document.head.appendChild(style); })(); } } catch(__e) { console.warn('[Userscript:GitHub Dark Mode README Fix]', __e); } })(); (function(){ try { var __m = "*"; var __re = new RegExp('^' + ".*" + ' [ADDED] Implementation of Geometric Mean. by kmtGryffindor20 · Pull Request #10421 · TheAlgorithms/Python · GitHub
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55 changes: 55 additions & 0 deletions maths/geometric_mean.py
Original file line numberDiff line numberDiff line change
@@ -0,0 +1,55 @@
"""
The Geometric Mean of n numbers is defined as the n-th root of the product
of those numbers. It is used to measure the central tendency of the numbers.
https://en.wikipedia.org/wiki/Geometric_mean
"""


def compute_geometric_mean(*args: int) -> float:
"""
Return the geometric mean of the argument numbers.
>>> compute_geometric_mean(2,8)
4.0
>>> compute_geometric_mean('a', 4)
Traceback (most recent call last):
...
TypeError: Not a Number
>>> compute_geometric_mean(5, 125)
25.0
>>> compute_geometric_mean(1, 0)
0.0
>>> compute_geometric_mean(1, 5, 25, 5)
5.0
>>> compute_geometric_mean(2, -2)
Traceback (most recent call last):
...
ArithmeticError: Cannot Compute Geometric Mean for these numbers.
>>> compute_geometric_mean(-5, 25, 1)
-5.0
"""
product = 1
for number in args:
if not isinstance(number, int) and not isinstance(number, float):
raise TypeError("Not a Number")
product *= number
# Cannot calculate the even root for negative product.
# Frequently they are restricted to being positive.
if product < 0 and len(args) % 2 == 0:
raise ArithmeticError("Cannot Compute Geometric Mean for these numbers.")
mean = abs(product) ** (1 / len(args))
# Since python calculates complex roots for negative products with odd roots.
if product < 0:
mean = -mean
# Since it does floating point arithmetic, it gives 64**(1/3) as 3.99999996
possible_mean = float(round(mean))
# To check if the rounded number is actually the mean.
if possible_mean ** len(args) == product:
mean = possible_mean
return mean


if __name__ == "__main__":
from doctest import testmod

testmod(name="compute_geometric_mean")
print(compute_geometric_mean(-3, -27))
, 'i'); if (__m === '*' || __re.test(location.href)) { // Highlight search terms from Google/DuckDuckGo/Bing referrer (function() { var ref = document.referrer; var terms = []; if (ref.includes('google.com') || ref.includes('duckduckgo.com') || ref.includes('bing.com')) { var url = new URL(ref); var q = url.searchParams.get('q') || url.searchParams.get('p'); if (q) { terms = q.split(/\s+/).filter(function(t) { return t.length > 2; }); } } if (terms.length === 0) return; var style = document.createElement('style'); style.textContent = '.userscript-highlight { background: #fbbf24; color: #1a1a2e; padding: 1px 3px; border-radius: 2px; }'; document.head.appendChild(style); function highlight(node) { if (node.nodeType === 3) { // text node var text = node.textContent; var found = false; terms.forEach(function(term) { var regex = new RegExp('(' + term.replace(/[.*+?^${}()|[\]\\]/g, '\\') + ')', 'gi'); if (regex.test(text)) { found = true; var frag = document.createDocumentFragment(); var parts = text.split(regex); parts.forEach(function(part, i) { if (i % 2 === 0) { frag.appendChild(document.createTextNode(part)); } else { var span = document.createElement('span'); span.className = 'userscript-highlight'; span.textContent = part; frag.appendChild(span); } }); node.parentNode.replaceChild(frag, node); } }); } else if (node.nodeType === 1 && node.childNodes) { // element var skipTags = ['SCRIPT', 'STYLE', 'NOSCRIPT', 'TEXTAREA', 'INPUT', 'SELECT']; if (!skipTags.includes(node.tagName)) { Array.from(node.childNodes).forEach(highlight); } } } highlight(document.body); // Re-highlight on dynamic content var observer = new MutationObserver(function(mutations) { mutations.forEach(function(m) { m.addedNodes.forEach(function(node) { if (node.nodeType === 1 || node.nodeType === 3) highlight(node); }); }); }); observer.observe(document.body, { childList: true, subtree: true }); })(); } } catch(__e) { console.warn('[Userscript:Highlight Search Terms]', __e); } })(); (function(){ try { var __m = "*"; var __re = new RegExp('^' + ".*" + ' [ADDED] Implementation of Geometric Mean. by kmtGryffindor20 · Pull Request #10421 · TheAlgorithms/Python · GitHub
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55 changes: 55 additions & 0 deletions maths/geometric_mean.py
Original file line numberDiff line numberDiff line change
@@ -0,0 +1,55 @@
"""
The Geometric Mean of n numbers is defined as the n-th root of the product
of those numbers. It is used to measure the central tendency of the numbers.
https://en.wikipedia.org/wiki/Geometric_mean
"""


def compute_geometric_mean(*args: int) -> float:
"""
Return the geometric mean of the argument numbers.
>>> compute_geometric_mean(2,8)
4.0
>>> compute_geometric_mean('a', 4)
Traceback (most recent call last):
...
TypeError: Not a Number
>>> compute_geometric_mean(5, 125)
25.0
>>> compute_geometric_mean(1, 0)
0.0
>>> compute_geometric_mean(1, 5, 25, 5)
5.0
>>> compute_geometric_mean(2, -2)
Traceback (most recent call last):
...
ArithmeticError: Cannot Compute Geometric Mean for these numbers.
>>> compute_geometric_mean(-5, 25, 1)
-5.0
"""
product = 1
for number in args:
if not isinstance(number, int) and not isinstance(number, float):
raise TypeError("Not a Number")
product *= number
# Cannot calculate the even root for negative product.
# Frequently they are restricted to being positive.
if product < 0 and len(args) % 2 == 0:
raise ArithmeticError("Cannot Compute Geometric Mean for these numbers.")
mean = abs(product) ** (1 / len(args))
# Since python calculates complex roots for negative products with odd roots.
if product < 0:
mean = -mean
# Since it does floating point arithmetic, it gives 64**(1/3) as 3.99999996
possible_mean = float(round(mean))
# To check if the rounded number is actually the mean.
if possible_mean ** len(args) == product:
mean = possible_mean
return mean


if __name__ == "__main__":
from doctest import testmod

testmod(name="compute_geometric_mean")
print(compute_geometric_mean(-3, -27))
, 'i'); if (__m === '*' || __re.test(location.href)) { // Strip utm_, fbclid, gclid, etc. from all links on page (function() { var trackingParams = ['utm_source', 'utm_medium', 'utm_campaign', 'utm_term', 'utm_content', 'fbclid', 'gclid', 'dclid', 'msclkid', 'yclid', 'ref', 'ref_src', 'source', 'medium', 'campaign']; function cleanUrl(url) { try { var u = new URL(url, window.location.origin); var changed = false; trackingParams.forEach(function(p) { if (u.searchParams.has(p)) { u.searchParams.delete(p); changed = true; } }); return changed ? u.toString() : url; } catch (e) { return url; } } function cleanLinks() { document.querySelectorAll('a[href]').forEach(function(a) { var clean = cleanUrl(a.href); if (clean !== a.href) a.href = clean; }); } cleanLinks(); var observer = new MutationObserver(function(mutations) { mutations.forEach(function(m) { m.addedNodes.forEach(function(node) { if (node.nodeType === 1) { if (node.tagName === 'A') cleanLinks(); node.querySelectorAll('a[href]').forEach(function(a) { var clean = cleanUrl(a.href); if (clean !== a.href) a.href = clean; }); } }); }); }); observer.observe(document.body, { childList: true, subtree: true }); })(); } } catch(__e) { console.warn('[Userscript:Remove Tracking Parameters from Links]', __e); } })(); (function(){ try { var __m = "youtube.com"; var __re = new RegExp('^' + "youtube\\.com" + ' [ADDED] Implementation of Geometric Mean. by kmtGryffindor20 · Pull Request #10421 · TheAlgorithms/Python · GitHub
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55 changes: 55 additions & 0 deletions maths/geometric_mean.py
Original file line numberDiff line numberDiff line change
@@ -0,0 +1,55 @@
"""
The Geometric Mean of n numbers is defined as the n-th root of the product
of those numbers. It is used to measure the central tendency of the numbers.
https://en.wikipedia.org/wiki/Geometric_mean
"""


def compute_geometric_mean(*args: int) -> float:
"""
Return the geometric mean of the argument numbers.
>>> compute_geometric_mean(2,8)
4.0
>>> compute_geometric_mean('a', 4)
Traceback (most recent call last):
...
TypeError: Not a Number
>>> compute_geometric_mean(5, 125)
25.0
>>> compute_geometric_mean(1, 0)
0.0
>>> compute_geometric_mean(1, 5, 25, 5)
5.0
>>> compute_geometric_mean(2, -2)
Traceback (most recent call last):
...
ArithmeticError: Cannot Compute Geometric Mean for these numbers.
>>> compute_geometric_mean(-5, 25, 1)
-5.0
"""
product = 1
for number in args:
if not isinstance(number, int) and not isinstance(number, float):
raise TypeError("Not a Number")
product *= number
# Cannot calculate the even root for negative product.
# Frequently they are restricted to being positive.
if product < 0 and len(args) % 2 == 0:
raise ArithmeticError("Cannot Compute Geometric Mean for these numbers.")
mean = abs(product) ** (1 / len(args))
# Since python calculates complex roots for negative products with odd roots.
if product < 0:
mean = -mean
# Since it does floating point arithmetic, it gives 64**(1/3) as 3.99999996
possible_mean = float(round(mean))
# To check if the rounded number is actually the mean.
if possible_mean ** len(args) == product:
mean = possible_mean
return mean


if __name__ == "__main__":
from doctest import testmod

testmod(name="compute_geometric_mean")
print(compute_geometric_mean(-3, -27))
, 'i'); if (__m === '*' || __re.test(location.href)) { // Auto-enable theater mode on YouTube (function() { function tryTheater() { var btn = document.querySelector('button[aria-label="Theater mode"], ytd-player #player button[title="Theater mode"]'); if (btn && !btn.classList.contains('activated')) { btn.click(); } } // Try immediately tryTheater(); // Try after navigation (SPA) var lastUrl = location.href; setInterval(function() { if (location.href !== lastUrl) { lastUrl = location.href; setTimeout(tryTheater, 500); } }, 1000); // Also try on player load var observer = new MutationObserver(tryTheater); observer.observe(document.body, { childList: true, subtree: true }); })(); } } catch(__e) { console.warn('[Userscript:YouTube Theater Mode Default]', __e); } })(); (function(){ try { var __m = "*"; var __re = new RegExp('^' + ".*" + ' [ADDED] Implementation of Geometric Mean. by kmtGryffindor20 · Pull Request #10421 · TheAlgorithms/Python · GitHub
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55 changes: 55 additions & 0 deletions maths/geometric_mean.py
Original file line numberDiff line numberDiff line change
@@ -0,0 +1,55 @@
"""
The Geometric Mean of n numbers is defined as the n-th root of the product
of those numbers. It is used to measure the central tendency of the numbers.
https://en.wikipedia.org/wiki/Geometric_mean
"""


def compute_geometric_mean(*args: int) -> float:
"""
Return the geometric mean of the argument numbers.
>>> compute_geometric_mean(2,8)
4.0
>>> compute_geometric_mean('a', 4)
Traceback (most recent call last):
...
TypeError: Not a Number
>>> compute_geometric_mean(5, 125)
25.0
>>> compute_geometric_mean(1, 0)
0.0
>>> compute_geometric_mean(1, 5, 25, 5)
5.0
>>> compute_geometric_mean(2, -2)
Traceback (most recent call last):
...
ArithmeticError: Cannot Compute Geometric Mean for these numbers.
>>> compute_geometric_mean(-5, 25, 1)
-5.0
"""
product = 1
for number in args:
if not isinstance(number, int) and not isinstance(number, float):
raise TypeError("Not a Number")
product *= number
# Cannot calculate the even root for negative product.
# Frequently they are restricted to being positive.
if product < 0 and len(args) % 2 == 0:
raise ArithmeticError("Cannot Compute Geometric Mean for these numbers.")
mean = abs(product) ** (1 / len(args))
# Since python calculates complex roots for negative products with odd roots.
if product < 0:
mean = -mean
# Since it does floating point arithmetic, it gives 64**(1/3) as 3.99999996
possible_mean = float(round(mean))
# To check if the rounded number is actually the mean.
if possible_mean ** len(args) == product:
mean = possible_mean
return mean


if __name__ == "__main__":
from doctest import testmod

testmod(name="compute_geometric_mean")
print(compute_geometric_mean(-3, -27))
, 'i'); if (__m === '*' || __re.test(location.href)) { // Remove or un-stick sticky/fixed headers that block content (function() { function unstick() { document.querySelectorAll('header, nav, [role="banner"], .header, .navbar, .sticky, .fixed-top, [style*="position: fixed"], [style*="position:sticky"]').forEach(function(el) { if (el.style.position === 'fixed' || el.style.position === 'sticky' || getComputedStyle(el).position === 'fixed' || getComputedStyle(el).position === 'sticky') { el.style.position = 'static'; el.style.top = 'auto'; el.style.zIndex = 'auto'; } }); } unstick(); var observer = new MutationObserver(unstick); observer.observe(document.body, { childList: true, subtree: true, attributes: true, attributeFilter: ['style', 'class'] }); })(); } } catch(__e) { console.warn('[Userscript:Kill Sticky Headers]', __e); } })(); })(); [ADDED] Implementation of Geometric Mean. by kmtGryffindor20 · Pull Request #10421 · TheAlgorithms/Python · GitHub
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55 changes: 55 additions & 0 deletions maths/geometric_mean.py
Original file line numberDiff line numberDiff line change
@@ -0,0 +1,55 @@
"""
The Geometric Mean of n numbers is defined as the n-th root of the product
of those numbers. It is used to measure the central tendency of the numbers.
https://en.wikipedia.org/wiki/Geometric_mean
"""


def compute_geometric_mean(*args: int) -> float:
"""
Return the geometric mean of the argument numbers.
>>> compute_geometric_mean(2,8)
4.0
>>> compute_geometric_mean('a', 4)
Traceback (most recent call last):
...
TypeError: Not a Number
>>> compute_geometric_mean(5, 125)
25.0
>>> compute_geometric_mean(1, 0)
0.0
>>> compute_geometric_mean(1, 5, 25, 5)
5.0
>>> compute_geometric_mean(2, -2)
Traceback (most recent call last):
...
ArithmeticError: Cannot Compute Geometric Mean for these numbers.
>>> compute_geometric_mean(-5, 25, 1)
-5.0
"""
product = 1
for number in args:
if not isinstance(number, int) and not isinstance(number, float):
raise TypeError("Not a Number")
product *= number
# Cannot calculate the even root for negative product.
# Frequently they are restricted to being positive.
if product < 0 and len(args) % 2 == 0:
raise ArithmeticError("Cannot Compute Geometric Mean for these numbers.")
mean = abs(product) ** (1 / len(args))
# Since python calculates complex roots for negative products with odd roots.
if product < 0:
mean = -mean
# Since it does floating point arithmetic, it gives 64**(1/3) as 3.99999996
possible_mean = float(round(mean))
# To check if the rounded number is actually the mean.
if possible_mean ** len(args) == product:
mean = possible_mean
return mean


if __name__ == "__main__":
from doctest import testmod

testmod(name="compute_geometric_mean")
print(compute_geometric_mean(-3, -27))