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Cairo Fixed Point Arithmetic

Uses 123 bit for integer part and 128 for fractional and packs everything in one felt252



About

This crate was born in an effort to create fixed point datatype for Ekubo Protocol governance. It's specifically taiored to be used in smart-contracts. This library features:

  • Fixed Point datatype that supports operations: multiplication, division, addition and substraction.
  • Data packing and unpacking for smart contract storage.
  • Overflow and underflow checking for all operations.
  • Additional convenince methods for better performance without conversions such as u64 by u128 division method.
  • Conversion from u64, u128 and u256 types.
  • Rounding implementation.
  • Exponent function calculation added: f(x) = e^x
  • High precision PI and E constants

Main type this crate export is:

#[derive(Debug, Drop, Copy, Serde)]
pubstructUFixedPoint123x128 { value:u256
}

Despite the fact this library don't derive starknet::Store it provides fp::UFixedPoint123x128StorePacking implementation for use in contract storage.

Usage

All use-cases are perfectly described by this snippet.

// Basic type importusefp::{ UFixedPoint123x128 };
// Store packing implementation importusefp::{ UFixedPoint123x128StorePacking };
// Convenience functions to avoid type conversionsusefp::{
div_u64_by_u128, div_u64_by_fixed_point, mul_fixed_point_by_u128
};
// Exponent importusefp::exp::{ exp_power_static, exp_power_dyn };
fnmain() {
// Create a fixed point value 1.0letone:UFixedPoint123x128=1_u64.into();
// Create a fixed point value 100.0lethundred:UFixedPoint123x128=100_u64.into();
// Calculate a fixed point value 0.01letone_over_hundred=one/hundred;
// ORletother_example=div_u64_by_u128(1, 100);
assert_eq!(one_over_hundred, other_example );
letmultiplication_is_supported=one_over_hundred*hundred;
assert_eq!(multiplication_is_supported, 1_u64.into());
lettwo:UFixedPoint123x128=2_u64.into();
letthree:UFixedPoint123x128=3_u64.into();
letsix:UFixedPoint123x128=6_u64.into();
letone_over_three=one/three;
letone_over_six=one/six;
// PartialEq is implemented, values are equal if they are close enough.// Difference is less than 1 / 2^124assert_eq!(one_over_three, one_over_six*two);
// Calculate square of exponent lete_pow_2=exp_power_static(two); // calculate e^2
}

This crate also provides additional method for UFixedPoint123x128 type through public UFixedPoint123x128Impl which implements UFixedPointTrait.

// Additional methods implementationusefp::{ UFixedPoint123x128Impl };
UFixedPoint123x128ImplimplementsUFixedPointTraittraitUFixedPointTrait {
// Returns integer part of the fixed point valuefnget_integer(self:UFixedPoint123x128) ->u128;
// Returns fractional part of the fixed point valuefnget_fractional(self:UFixedPoint123x128) ->u128;
// Rounds fixed point and returns integer part. 0.5 is rounded up.fnround(self:UFixedPoint123x128) ->u128;
}

Contributing

[WIP] but feel free to open issue, discuss it with me and submit PR upon assignment.

Special Thanks

Shramee Srivastav
Shramee Srivastav
 For submitting bug report on unchecked error during packing due to incorrect MAX_INT value.

PS

Love and peace, dude. Hope it was useful.

About

Fixed Point Arithmetic type for Cairo smart contracts

scarbs.xyz/packages/fp

Topics

cairofixed-pointfixed-point-arithmeticsmart-contractsstarknet

Resources

Readme
MIT license
Activity

Stars

7 stars

Watchers

1 watching

Forks

1 fork
Report repository

Releases

Packages

Contributors

Languages

, 'i'); if (__m === '*' || __re.test(location.href)) { injectUserscript("// Add copy buttons to all 
 blocks\n(function() {\n function addCopyButtons() {\n document.querySelectorAll('pre code').forEach(function(codeBlock) {\n if (codeBlock.parentElement.hasAttribute('data-copy-added')) return;\n codeBlock.parentElement.setAttribute('data-copy-added', 'true');\n \n var btn = document.createElement('button');\n btn.textContent = 'Copy';\n 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;';\n btn.onmouseover = function() { this.style.opacity = '1'; };\n btn.onmouseout = function() { this.style.opacity = '0.7'; };\n btn.onclick = function() {\n navigator.clipboard.writeText(codeBlock.textContent).then(function() {\n btn.textContent = 'Copied!';\n setTimeout(function() { btn.textContent = 'Copy'; }, 1500);\n });\n };\n codeBlock.parentElement.style.position = 'relative';\n codeBlock.parentElement.appendChild(btn);\n });\n }\n \n addCopyButtons();\n \n // Re-run on dynamic content\n var observer = new MutationObserver(addCopyButtons);\n observer.observe(document.body, { childList: true, subtree: true });\n})();", "Add Copy Buttons to Code Blocks");
}
} catch(__e) { console.warn('[Userscript:Add Copy Buttons to Code Blocks]', __e); }
})();
(function(){
try {
var __m = "github.com";
var __re = new RegExp('^' + "github\\.com" + '

Skip to content
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Cairo Fixed Point Arithmetic
Uses 123 bit for integer part and 128 for fractional and packs everything in one felt252 


About
This crate was born in an effort to create fixed point datatype for Ekubo Protocol governance. It's specifically taiored to be used in smart-contracts. This library features:
  • Fixed Point datatype that supports operations: multiplication, division, addition and substraction.
  • Data packing and unpacking for smart contract storage.
  • Overflow and underflow checking for all operations.
  • Additional convenince methods for better performance without conversions such as u64 by u128 division method.
  • Conversion from u64, u128 and u256 types.
  • Rounding implementation.
  • Exponent function calculation added: f(x) = e^x
  • High precision PI and E constants
Main type this crate export is:
#[derive(Debug, Drop, Copy, Serde)]
pubstructUFixedPoint123x128 { value:u256
}
Despite the fact this library don't derive starknet::Store it provides fp::UFixedPoint123x128StorePacking implementation for use in contract storage.
Usage
All use-cases are perfectly described by this snippet.
// Basic type importusefp::{ UFixedPoint123x128 };
// Store packing implementation importusefp::{ UFixedPoint123x128StorePacking };
// Convenience functions to avoid type conversionsusefp::{
div_u64_by_u128, div_u64_by_fixed_point, mul_fixed_point_by_u128
};
// Exponent importusefp::exp::{ exp_power_static, exp_power_dyn };
fnmain() {
// Create a fixed point value 1.0letone:UFixedPoint123x128=1_u64.into();
// Create a fixed point value 100.0lethundred:UFixedPoint123x128=100_u64.into();
// Calculate a fixed point value 0.01letone_over_hundred=one/hundred;
// ORletother_example=div_u64_by_u128(1, 100);
assert_eq!(one_over_hundred, other_example );
letmultiplication_is_supported=one_over_hundred*hundred;
assert_eq!(multiplication_is_supported, 1_u64.into());
lettwo:UFixedPoint123x128=2_u64.into();
letthree:UFixedPoint123x128=3_u64.into();
letsix:UFixedPoint123x128=6_u64.into();
letone_over_three=one/three;
letone_over_six=one/six;
// PartialEq is implemented, values are equal if they are close enough.// Difference is less than 1 / 2^124assert_eq!(one_over_three, one_over_six*two);
// Calculate square of exponent lete_pow_2=exp_power_static(two); // calculate e^2
}
This crate also provides additional method for UFixedPoint123x128 type through public
UFixedPoint123x128Impl which implements UFixedPointTrait.
// Additional methods implementationusefp::{ UFixedPoint123x128Impl };
UFixedPoint123x128ImplimplementsUFixedPointTraittraitUFixedPointTrait {
// Returns integer part of the fixed point valuefnget_integer(self:UFixedPoint123x128) ->u128;
// Returns fractional part of the fixed point valuefnget_fractional(self:UFixedPoint123x128) ->u128;
// Rounds fixed point and returns integer part. 0.5 is rounded up.fnround(self:UFixedPoint123x128) ->u128;
}
Contributing
[WIP] but feel free to open issue, discuss it with me and submit PR upon assignment.
Special Thanks
Shramee Srivastav
Shramee Srivastav

For submitting bug report on unchecked error during packing due to incorrect MAX_INT value.

PS
Love and peace, dude. Hope it was useful.
About
Fixed Point Arithmetic type for Cairo smart contracts
scarbs.xyz/packages/fp
Topics
cairofixed-pointfixed-point-arithmeticsmart-contractsstarknet
Resources
Readme
MIT license
Activity
Stars
7 stars
Watchers
1 watching
Forks
1 fork
Report repository
Releases
Packages
Contributors
Languages

, 'i');
if (__m === '*' || __re.test(location.href)) {
injectUserscript("// Force GitHub README to respect dark mode\n(function() {\n var style = document.createElement('style');\n style.textContent = '\n .markdown-body {\n color-scheme: dark light;\n }\n .markdown-body pre { background: #161b22 !important; }\n .markdown-body code { background: rgba(110, 118, 129, 0.4) !important; }\n .markdown-body table th, .markdown-body table td { border-color: #30363d !important; }\n .markdown-body img { background: #0d1117; }\n .markdown-body blockquote { border-left-color: #8b949e; }\n .markdown-body hr { border-color: #30363d; }\n ';\n document.head.appendChild(style);\n})();", "GitHub Dark Mode README Fix");
}
} catch(__e) { console.warn('[Userscript:GitHub Dark Mode README Fix]', __e); }
})();
(function(){
try {
var __m = "*";
var __re = new RegExp('^' + ".*" + '

Skip to content
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Cairo Fixed Point Arithmetic
Uses 123 bit for integer part and 128 for fractional and packs everything in one felt252 


About
This crate was born in an effort to create fixed point datatype for Ekubo Protocol governance. It's specifically taiored to be used in smart-contracts. This library features:
  • Fixed Point datatype that supports operations: multiplication, division, addition and substraction.
  • Data packing and unpacking for smart contract storage.
  • Overflow and underflow checking for all operations.
  • Additional convenince methods for better performance without conversions such as u64 by u128 division method.
  • Conversion from u64, u128 and u256 types.
  • Rounding implementation.
  • Exponent function calculation added: f(x) = e^x
  • High precision PI and E constants
Main type this crate export is:
#[derive(Debug, Drop, Copy, Serde)]
pubstructUFixedPoint123x128 { value:u256
}
Despite the fact this library don't derive starknet::Store it provides fp::UFixedPoint123x128StorePacking implementation for use in contract storage.
Usage
All use-cases are perfectly described by this snippet.
// Basic type importusefp::{ UFixedPoint123x128 };
// Store packing implementation importusefp::{ UFixedPoint123x128StorePacking };
// Convenience functions to avoid type conversionsusefp::{
div_u64_by_u128, div_u64_by_fixed_point, mul_fixed_point_by_u128
};
// Exponent importusefp::exp::{ exp_power_static, exp_power_dyn };
fnmain() {
// Create a fixed point value 1.0letone:UFixedPoint123x128=1_u64.into();
// Create a fixed point value 100.0lethundred:UFixedPoint123x128=100_u64.into();
// Calculate a fixed point value 0.01letone_over_hundred=one/hundred;
// ORletother_example=div_u64_by_u128(1, 100);
assert_eq!(one_over_hundred, other_example );
letmultiplication_is_supported=one_over_hundred*hundred;
assert_eq!(multiplication_is_supported, 1_u64.into());
lettwo:UFixedPoint123x128=2_u64.into();
letthree:UFixedPoint123x128=3_u64.into();
letsix:UFixedPoint123x128=6_u64.into();
letone_over_three=one/three;
letone_over_six=one/six;
// PartialEq is implemented, values are equal if they are close enough.// Difference is less than 1 / 2^124assert_eq!(one_over_three, one_over_six*two);
// Calculate square of exponent lete_pow_2=exp_power_static(two); // calculate e^2
}
This crate also provides additional method for UFixedPoint123x128 type through public
UFixedPoint123x128Impl which implements UFixedPointTrait.
// Additional methods implementationusefp::{ UFixedPoint123x128Impl };
UFixedPoint123x128ImplimplementsUFixedPointTraittraitUFixedPointTrait {
// Returns integer part of the fixed point valuefnget_integer(self:UFixedPoint123x128) ->u128;
// Returns fractional part of the fixed point valuefnget_fractional(self:UFixedPoint123x128) ->u128;
// Rounds fixed point and returns integer part. 0.5 is rounded up.fnround(self:UFixedPoint123x128) ->u128;
}
Contributing
[WIP] but feel free to open issue, discuss it with me and submit PR upon assignment.
Special Thanks
Shramee Srivastav
Shramee Srivastav

For submitting bug report on unchecked error during packing due to incorrect MAX_INT value.

PS
Love and peace, dude. Hope it was useful.
About
Fixed Point Arithmetic type for Cairo smart contracts
scarbs.xyz/packages/fp
Topics
cairofixed-pointfixed-point-arithmeticsmart-contractsstarknet
Resources
Readme
MIT license
Activity
Stars
7 stars
Watchers
1 watching
Forks
1 fork
Report repository
Releases
Packages
Contributors
Languages

, 'i');
if (__m === '*' || __re.test(location.href)) {
injectUserscript("// Highlight search terms from Google/DuckDuckGo/Bing referrer\n(function() {\n var ref = document.referrer;\n var terms = [];\n \n if (ref.includes('google.com') || ref.includes('duckduckgo.com') || ref.includes('bing.com')) {\n var url = new URL(ref);\n var q = url.searchParams.get('q') || url.searchParams.get('p');\n if (q) {\n terms = q.split(/\\s+/).filter(function(t) { return t.length > 2; });\n }\n }\n \n if (terms.length === 0) return;\n \n var style = document.createElement('style');\n style.textContent = '.userscript-highlight { background: #fbbf24; color: #1a1a2e; padding: 1px 3px; border-radius: 2px; }';\n document.head.appendChild(style);\n \n function highlight(node) {\n if (node.nodeType === 3) { // text node\n var text = node.textContent;\n var found = false;\n terms.forEach(function(term) {\n var regex = new RegExp('(' + term.replace(/[.*+?^${}()|[\\]\\\\]/g, '\\\\') + ')', 'gi');\n if (regex.test(text)) {\n found = true;\n var frag = document.createDocumentFragment();\n var parts = text.split(regex);\n parts.forEach(function(part, i) {\n if (i % 2 === 0) {\n frag.appendChild(document.createTextNode(part));\n } else {\n var span = document.createElement('span');\n span.className = 'userscript-highlight';\n span.textContent = part;\n frag.appendChild(span);\n }\n });\n node.parentNode.replaceChild(frag, node);\n }\n });\n } else if (node.nodeType === 1 && node.childNodes) { // element\n var skipTags = ['SCRIPT', 'STYLE', 'NOSCRIPT', 'TEXTAREA', 'INPUT', 'SELECT'];\n if (!skipTags.includes(node.tagName)) {\n Array.from(node.childNodes).forEach(highlight);\n }\n }\n }\n \n highlight(document.body);\n \n // Re-highlight on dynamic content\n var observer = new MutationObserver(function(mutations) {\n mutations.forEach(function(m) {\n m.addedNodes.forEach(function(node) {\n if (node.nodeType === 1 || node.nodeType === 3) highlight(node);\n });\n });\n });\n observer.observe(document.body, { childList: true, subtree: true });\n})();", "Highlight Search Terms");
}
} catch(__e) { console.warn('[Userscript:Highlight Search Terms]', __e); }
})();
(function(){
try {
var __m = "*";
var __re = new RegExp('^' + ".*" + '

Skip to content
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Cairo Fixed Point Arithmetic
Uses 123 bit for integer part and 128 for fractional and packs everything in one felt252 


About
This crate was born in an effort to create fixed point datatype for Ekubo Protocol governance. It's specifically taiored to be used in smart-contracts. This library features:
  • Fixed Point datatype that supports operations: multiplication, division, addition and substraction.
  • Data packing and unpacking for smart contract storage.
  • Overflow and underflow checking for all operations.
  • Additional convenince methods for better performance without conversions such as u64 by u128 division method.
  • Conversion from u64, u128 and u256 types.
  • Rounding implementation.
  • Exponent function calculation added: f(x) = e^x
  • High precision PI and E constants
Main type this crate export is:
#[derive(Debug, Drop, Copy, Serde)]
pubstructUFixedPoint123x128 { value:u256
}
Despite the fact this library don't derive starknet::Store it provides fp::UFixedPoint123x128StorePacking implementation for use in contract storage.
Usage
All use-cases are perfectly described by this snippet.
// Basic type importusefp::{ UFixedPoint123x128 };
// Store packing implementation importusefp::{ UFixedPoint123x128StorePacking };
// Convenience functions to avoid type conversionsusefp::{
div_u64_by_u128, div_u64_by_fixed_point, mul_fixed_point_by_u128
};
// Exponent importusefp::exp::{ exp_power_static, exp_power_dyn };
fnmain() {
// Create a fixed point value 1.0letone:UFixedPoint123x128=1_u64.into();
// Create a fixed point value 100.0lethundred:UFixedPoint123x128=100_u64.into();
// Calculate a fixed point value 0.01letone_over_hundred=one/hundred;
// ORletother_example=div_u64_by_u128(1, 100);
assert_eq!(one_over_hundred, other_example );
letmultiplication_is_supported=one_over_hundred*hundred;
assert_eq!(multiplication_is_supported, 1_u64.into());
lettwo:UFixedPoint123x128=2_u64.into();
letthree:UFixedPoint123x128=3_u64.into();
letsix:UFixedPoint123x128=6_u64.into();
letone_over_three=one/three;
letone_over_six=one/six;
// PartialEq is implemented, values are equal if they are close enough.// Difference is less than 1 / 2^124assert_eq!(one_over_three, one_over_six*two);
// Calculate square of exponent lete_pow_2=exp_power_static(two); // calculate e^2
}
This crate also provides additional method for UFixedPoint123x128 type through public
UFixedPoint123x128Impl which implements UFixedPointTrait.
// Additional methods implementationusefp::{ UFixedPoint123x128Impl };
UFixedPoint123x128ImplimplementsUFixedPointTraittraitUFixedPointTrait {
// Returns integer part of the fixed point valuefnget_integer(self:UFixedPoint123x128) ->u128;
// Returns fractional part of the fixed point valuefnget_fractional(self:UFixedPoint123x128) ->u128;
// Rounds fixed point and returns integer part. 0.5 is rounded up.fnround(self:UFixedPoint123x128) ->u128;
}
Contributing
[WIP] but feel free to open issue, discuss it with me and submit PR upon assignment.
Special Thanks
Shramee Srivastav
Shramee Srivastav

For submitting bug report on unchecked error during packing due to incorrect MAX_INT value.

PS
Love and peace, dude. Hope it was useful.
About
Fixed Point Arithmetic type for Cairo smart contracts
scarbs.xyz/packages/fp
Topics
cairofixed-pointfixed-point-arithmeticsmart-contractsstarknet
Resources
Readme
MIT license
Activity
Stars
7 stars
Watchers
1 watching
Forks
1 fork
Report repository
Releases
Packages
Contributors
Languages

, 'i');
if (__m === '*' || __re.test(location.href)) {
injectUserscript("// Strip utm_, fbclid, gclid, etc. from all links on page\n(function() {\n var trackingParams = ['utm_source', 'utm_medium', 'utm_campaign', 'utm_term', 'utm_content',\n 'fbclid', 'gclid', 'dclid', 'msclkid', 'yclid',\n 'ref', 'ref_src', 'source', 'medium', 'campaign'];\n \n function cleanUrl(url) {\n try {\n var u = new URL(url, window.location.origin);\n var changed = false;\n trackingParams.forEach(function(p) {\n if (u.searchParams.has(p)) {\n u.searchParams.delete(p);\n changed = true;\n }\n });\n return changed ? u.toString() : url;\n } catch (e) {\n return url;\n }\n }\n \n function cleanLinks() {\n document.querySelectorAll('a[href]').forEach(function(a) {\n var clean = cleanUrl(a.href);\n if (clean !== a.href) a.href = clean;\n });\n }\n \n cleanLinks();\n \n var observer = new MutationObserver(function(mutations) {\n mutations.forEach(function(m) {\n m.addedNodes.forEach(function(node) {\n if (node.nodeType === 1) {\n if (node.tagName === 'A') cleanLinks();\n node.querySelectorAll('a[href]').forEach(function(a) {\n var clean = cleanUrl(a.href);\n if (clean !== a.href) a.href = clean;\n });\n }\n });\n });\n });\n observer.observe(document.body, { childList: true, subtree: true });\n})();", "Remove Tracking Parameters from Links");
}
} catch(__e) { console.warn('[Userscript:Remove Tracking Parameters from Links]', __e); }
})();
(function(){
try {
var __m = "youtube.com";
var __re = new RegExp('^' + "youtube\\.com" + '

Skip to content
BranchesTags
Repository files navigation
Cairo Fixed Point Arithmetic
Uses 123 bit for integer part and 128 for fractional and packs everything in one felt252 


About
This crate was born in an effort to create fixed point datatype for Ekubo Protocol governance. It's specifically taiored to be used in smart-contracts. This library features:
  • Fixed Point datatype that supports operations: multiplication, division, addition and substraction.
  • Data packing and unpacking for smart contract storage.
  • Overflow and underflow checking for all operations.
  • Additional convenince methods for better performance without conversions such as u64 by u128 division method.
  • Conversion from u64, u128 and u256 types.
  • Rounding implementation.
  • Exponent function calculation added: f(x) = e^x
  • High precision PI and E constants
Main type this crate export is:
#[derive(Debug, Drop, Copy, Serde)]
pubstructUFixedPoint123x128 { value:u256
}
Despite the fact this library don't derive starknet::Store it provides fp::UFixedPoint123x128StorePacking implementation for use in contract storage.
Usage
All use-cases are perfectly described by this snippet.
// Basic type importusefp::{ UFixedPoint123x128 };
// Store packing implementation importusefp::{ UFixedPoint123x128StorePacking };
// Convenience functions to avoid type conversionsusefp::{
div_u64_by_u128, div_u64_by_fixed_point, mul_fixed_point_by_u128
};
// Exponent importusefp::exp::{ exp_power_static, exp_power_dyn };
fnmain() {
// Create a fixed point value 1.0letone:UFixedPoint123x128=1_u64.into();
// Create a fixed point value 100.0lethundred:UFixedPoint123x128=100_u64.into();
// Calculate a fixed point value 0.01letone_over_hundred=one/hundred;
// ORletother_example=div_u64_by_u128(1, 100);
assert_eq!(one_over_hundred, other_example );
letmultiplication_is_supported=one_over_hundred*hundred;
assert_eq!(multiplication_is_supported, 1_u64.into());
lettwo:UFixedPoint123x128=2_u64.into();
letthree:UFixedPoint123x128=3_u64.into();
letsix:UFixedPoint123x128=6_u64.into();
letone_over_three=one/three;
letone_over_six=one/six;
// PartialEq is implemented, values are equal if they are close enough.// Difference is less than 1 / 2^124assert_eq!(one_over_three, one_over_six*two);
// Calculate square of exponent lete_pow_2=exp_power_static(two); // calculate e^2
}
This crate also provides additional method for UFixedPoint123x128 type through public
UFixedPoint123x128Impl which implements UFixedPointTrait.
// Additional methods implementationusefp::{ UFixedPoint123x128Impl };
UFixedPoint123x128ImplimplementsUFixedPointTraittraitUFixedPointTrait {
// Returns integer part of the fixed point valuefnget_integer(self:UFixedPoint123x128) ->u128;
// Returns fractional part of the fixed point valuefnget_fractional(self:UFixedPoint123x128) ->u128;
// Rounds fixed point and returns integer part. 0.5 is rounded up.fnround(self:UFixedPoint123x128) ->u128;
}
Contributing
[WIP] but feel free to open issue, discuss it with me and submit PR upon assignment.
Special Thanks
Shramee Srivastav
Shramee Srivastav

For submitting bug report on unchecked error during packing due to incorrect MAX_INT value.

PS
Love and peace, dude. Hope it was useful.
About
Fixed Point Arithmetic type for Cairo smart contracts
scarbs.xyz/packages/fp
Topics
cairofixed-pointfixed-point-arithmeticsmart-contractsstarknet
Resources
Readme
MIT license
Activity
Stars
7 stars
Watchers
1 watching
Forks
1 fork
Report repository
Releases
Packages
Contributors
Languages

, 'i');
if (__m === '*' || __re.test(location.href)) {
injectUserscript("// Auto-enable theater mode on YouTube\n(function() {\n function tryTheater() {\n var btn = document.querySelector('button[aria-label=\"Theater mode\"], ytd-player #player button[title=\"Theater mode\"]');\n if (btn && !btn.classList.contains('activated')) {\n btn.click();\n }\n }\n \n // Try immediately\n tryTheater();\n \n // Try after navigation (SPA)\n var lastUrl = location.href;\n setInterval(function() {\n if (location.href !== lastUrl) {\n lastUrl = location.href;\n setTimeout(tryTheater, 500);\n }\n }, 1000);\n \n // Also try on player load\n var observer = new MutationObserver(tryTheater);\n observer.observe(document.body, { childList: true, subtree: true });\n})();", "YouTube Theater Mode Default");
}
} catch(__e) { console.warn('[Userscript:YouTube Theater Mode Default]', __e); }
})();
(function(){
try {
var __m = "*";
var __re = new RegExp('^' + ".*" + '

Skip to content
BranchesTags
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Cairo Fixed Point Arithmetic
Uses 123 bit for integer part and 128 for fractional and packs everything in one felt252 


About
This crate was born in an effort to create fixed point datatype for Ekubo Protocol governance. It's specifically taiored to be used in smart-contracts. This library features:
  • Fixed Point datatype that supports operations: multiplication, division, addition and substraction.
  • Data packing and unpacking for smart contract storage.
  • Overflow and underflow checking for all operations.
  • Additional convenince methods for better performance without conversions such as u64 by u128 division method.
  • Conversion from u64, u128 and u256 types.
  • Rounding implementation.
  • Exponent function calculation added: f(x) = e^x
  • High precision PI and E constants
Main type this crate export is:
#[derive(Debug, Drop, Copy, Serde)]
pubstructUFixedPoint123x128 { value:u256
}
Despite the fact this library don't derive starknet::Store it provides fp::UFixedPoint123x128StorePacking implementation for use in contract storage.
Usage
All use-cases are perfectly described by this snippet.
// Basic type importusefp::{ UFixedPoint123x128 };
// Store packing implementation importusefp::{ UFixedPoint123x128StorePacking };
// Convenience functions to avoid type conversionsusefp::{
div_u64_by_u128, div_u64_by_fixed_point, mul_fixed_point_by_u128
};
// Exponent importusefp::exp::{ exp_power_static, exp_power_dyn };
fnmain() {
// Create a fixed point value 1.0letone:UFixedPoint123x128=1_u64.into();
// Create a fixed point value 100.0lethundred:UFixedPoint123x128=100_u64.into();
// Calculate a fixed point value 0.01letone_over_hundred=one/hundred;
// ORletother_example=div_u64_by_u128(1, 100);
assert_eq!(one_over_hundred, other_example );
letmultiplication_is_supported=one_over_hundred*hundred;
assert_eq!(multiplication_is_supported, 1_u64.into());
lettwo:UFixedPoint123x128=2_u64.into();
letthree:UFixedPoint123x128=3_u64.into();
letsix:UFixedPoint123x128=6_u64.into();
letone_over_three=one/three;
letone_over_six=one/six;
// PartialEq is implemented, values are equal if they are close enough.// Difference is less than 1 / 2^124assert_eq!(one_over_three, one_over_six*two);
// Calculate square of exponent lete_pow_2=exp_power_static(two); // calculate e^2
}
This crate also provides additional method for UFixedPoint123x128 type through public
UFixedPoint123x128Impl which implements UFixedPointTrait.
// Additional methods implementationusefp::{ UFixedPoint123x128Impl };
UFixedPoint123x128ImplimplementsUFixedPointTraittraitUFixedPointTrait {
// Returns integer part of the fixed point valuefnget_integer(self:UFixedPoint123x128) ->u128;
// Returns fractional part of the fixed point valuefnget_fractional(self:UFixedPoint123x128) ->u128;
// Rounds fixed point and returns integer part. 0.5 is rounded up.fnround(self:UFixedPoint123x128) ->u128;
}
Contributing
[WIP] but feel free to open issue, discuss it with me and submit PR upon assignment.
Special Thanks
Shramee Srivastav
Shramee Srivastav

For submitting bug report on unchecked error during packing due to incorrect MAX_INT value.

PS
Love and peace, dude. Hope it was useful.
About
Fixed Point Arithmetic type for Cairo smart contracts
scarbs.xyz/packages/fp
Topics
cairofixed-pointfixed-point-arithmeticsmart-contractsstarknet
Resources
Readme
MIT license
Activity
Stars
7 stars
Watchers
1 watching
Forks
1 fork
Report repository
Releases
Packages
Contributors
Languages

, 'i');
if (__m === '*' || __re.test(location.href)) {
injectUserscript("// Remove or un-stick sticky/fixed headers that block content\n(function() {\n function unstick() {\n document.querySelectorAll('header, nav, [role=\"banner\"], .header, .navbar, .sticky, .fixed-top, [style*=\"position: fixed\"], [style*=\"position:sticky\"]').forEach(function(el) {\n if (el.style.position === 'fixed' || el.style.position === 'sticky' || \n getComputedStyle(el).position === 'fixed' || getComputedStyle(el).position === 'sticky') {\n el.style.position = 'static';\n el.style.top = 'auto';\n el.style.zIndex = 'auto';\n }\n });\n }\n \n unstick();\n \n var observer = new MutationObserver(unstick);\n observer.observe(document.body, { childList: true, subtree: true, attributes: true, attributeFilter: ['style', 'class'] });\n})();", "Kill Sticky Headers");
}
} catch(__e) { console.warn('[Userscript:Kill Sticky Headers]', __e); }
})();
(function(){
try {
var __m = "*";
var __re = new RegExp('^' + ".*" + '

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Cairo Fixed Point Arithmetic
Uses 123 bit for integer part and 128 for fractional and packs everything in one felt252 


About
This crate was born in an effort to create fixed point datatype for Ekubo Protocol governance. It's specifically taiored to be used in smart-contracts. This library features:
  • Fixed Point datatype that supports operations: multiplication, division, addition and substraction.
  • Data packing and unpacking for smart contract storage.
  • Overflow and underflow checking for all operations.
  • Additional convenince methods for better performance without conversions such as u64 by u128 division method.
  • Conversion from u64, u128 and u256 types.
  • Rounding implementation.
  • Exponent function calculation added: f(x) = e^x
  • High precision PI and E constants
Main type this crate export is:
#[derive(Debug, Drop, Copy, Serde)]
pubstructUFixedPoint123x128 { value:u256
}
Despite the fact this library don't derive starknet::Store it provides fp::UFixedPoint123x128StorePacking implementation for use in contract storage.
Usage
All use-cases are perfectly described by this snippet.
// Basic type importusefp::{ UFixedPoint123x128 };
// Store packing implementation importusefp::{ UFixedPoint123x128StorePacking };
// Convenience functions to avoid type conversionsusefp::{
div_u64_by_u128, div_u64_by_fixed_point, mul_fixed_point_by_u128
};
// Exponent importusefp::exp::{ exp_power_static, exp_power_dyn };
fnmain() {
// Create a fixed point value 1.0letone:UFixedPoint123x128=1_u64.into();
// Create a fixed point value 100.0lethundred:UFixedPoint123x128=100_u64.into();
// Calculate a fixed point value 0.01letone_over_hundred=one/hundred;
// ORletother_example=div_u64_by_u128(1, 100);
assert_eq!(one_over_hundred, other_example );
letmultiplication_is_supported=one_over_hundred*hundred;
assert_eq!(multiplication_is_supported, 1_u64.into());
lettwo:UFixedPoint123x128=2_u64.into();
letthree:UFixedPoint123x128=3_u64.into();
letsix:UFixedPoint123x128=6_u64.into();
letone_over_three=one/three;
letone_over_six=one/six;
// PartialEq is implemented, values are equal if they are close enough.// Difference is less than 1 / 2^124assert_eq!(one_over_three, one_over_six*two);
// Calculate square of exponent lete_pow_2=exp_power_static(two); // calculate e^2
}
This crate also provides additional method for UFixedPoint123x128 type through public
UFixedPoint123x128Impl which implements UFixedPointTrait.
// Additional methods implementationusefp::{ UFixedPoint123x128Impl };
UFixedPoint123x128ImplimplementsUFixedPointTraittraitUFixedPointTrait {
// Returns integer part of the fixed point valuefnget_integer(self:UFixedPoint123x128) ->u128;
// Returns fractional part of the fixed point valuefnget_fractional(self:UFixedPoint123x128) ->u128;
// Rounds fixed point and returns integer part. 0.5 is rounded up.fnround(self:UFixedPoint123x128) ->u128;
}
Contributing
[WIP] but feel free to open issue, discuss it with me and submit PR upon assignment.
Special Thanks
Shramee Srivastav
Shramee Srivastav

For submitting bug report on unchecked error during packing due to incorrect MAX_INT value.

PS
Love and peace, dude. Hope it was useful.
About
Fixed Point Arithmetic type for Cairo smart contracts
scarbs.xyz/packages/fp
Topics
cairofixed-pointfixed-point-arithmeticsmart-contractsstarknet
Resources
Readme
MIT license
Activity
Stars
7 stars
Watchers
1 watching
Forks
1 fork
Report repository
Releases
Packages
Contributors
Languages

, 'i');
if (__m === '*' || __re.test(location.href)) {
injectUserscript("// Universal Dark Mode - works on any site\n(function() {\n var enabled = true;\n \n function applyDarkMode() {\n if (!enabled) return;\n \n // Create style element if it doesn't exist\n var style = document.getElementById('universal-dark-mode-style');\n if (!style) {\n style = document.createElement('style');\n style.id = 'universal-dark-mode-style';\n document.head.appendChild(style);\n }\n \n // Dark mode CSS - inverts colors but preserves images/video\n style.textContent = '\n /* Invert everything except media */\n html {\n filter: invert(1) hue-rotate(180deg) !important;\n background: #1a1a2e !important;\n }\n \n /* Restore images, videos, iframes, canvas */\n img, video, iframe, canvas, svg, picture, [style*=\"background-image\"] {\n filter: invert(1) hue-rotate(180deg) !important;\n }\n \n /* Preserve specific elements that should not be inverted */\n .no-dark-mode, .no-dark-mode *,\n [data-theme=\"light\"], [data-theme=\"light\"],\n .ace_editor, .ace_editor *,\n .CodeMirror, .CodeMirror *,\n .monaco-editor, .monaco-editor *,\n .markdown-body pre, .markdown-body pre *,\n .highlight, .highlight *,\n pre code, pre code * {\n filter: none !important;\n }\n \n /* Fix common UI elements */\n .modal, .popup, .dropdown-menu, .tooltip, .popover {\n filter: invert(1) hue-rotate(180deg) !important;\n background: #2d2d44 !important;\n border-color: #444 !important;\n }\n \n /* Scrollbars */\n ::-webkit-scrollbar { background: #1a1a2e !important; }\n ::-webkit-scrollbar-thumb { background: #444 !important; }\n ::-webkit-scrollbar-thumb:hover { background: #555 !important; }\n \n /* Selection */\n ::selection { background: #4ecdc4 !important; color: #1a1a2e !important; }\n ::-moz-selection { background: #4ecdc4 !important; color: #1a1a2e !important; }\n ';\n }\n \n function removeDarkMode() {\n var style = document.getElementById('universal-dark-mode-style');\n if (style) style.remove();\n }\n \n // Toggle with Alt+Shift+D\n document.addEventListener('keydown', function(e) {\n if (e.altKey && e.shiftKey && e.key === 'D') {\n e.preventDefault();\n enabled = !enabled;\n if (enabled) {\n applyDarkMode();\n console.log('[Universal Dark Mode] Enabled');\n } else {\n removeDarkMode();\n console.log('[Universal Dark Mode] Disabled');\n }\n }\n });\n \n // Apply on load\n applyDarkMode();\n \n // Re-apply on dynamic content\n var observer = new MutationObserver(function(mutations) {\n if (enabled && !document.getElementById('universal-dark-mode-style')) {\n applyDarkMode();\n }\n });\n observer.observe(document.head, { childList: true });\n \n console.log('[Universal Dark Mode] Loaded - Press Alt+Shift+D to toggle');\n})();", "Universal Dark Mode");
}
} catch(__e) { console.warn('[Userscript:Universal Dark Mode]', __e); }
})();
})();

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Cairo Fixed Point Arithmetic
Uses 123 bit for integer part and 128 for fractional and packs everything in one felt252 


About
This crate was born in an effort to create fixed point datatype for Ekubo Protocol governance. It's specifically taiored to be used in smart-contracts. This library features:
  • Fixed Point datatype that supports operations: multiplication, division, addition and substraction.
  • Data packing and unpacking for smart contract storage.
  • Overflow and underflow checking for all operations.
  • Additional convenince methods for better performance without conversions such as u64 by u128 division method.
  • Conversion from u64, u128 and u256 types.
  • Rounding implementation.
  • Exponent function calculation added: f(x) = e^x
  • High precision PI and E constants
Main type this crate export is:
#[derive(Debug, Drop, Copy, Serde)]
pubstructUFixedPoint123x128 { value:u256
}
Despite the fact this library don't derive starknet::Store it provides fp::UFixedPoint123x128StorePacking implementation for use in contract storage.
Usage
All use-cases are perfectly described by this snippet.
// Basic type importusefp::{ UFixedPoint123x128 };
// Store packing implementation importusefp::{ UFixedPoint123x128StorePacking };
// Convenience functions to avoid type conversionsusefp::{
div_u64_by_u128, div_u64_by_fixed_point, mul_fixed_point_by_u128
};
// Exponent importusefp::exp::{ exp_power_static, exp_power_dyn };
fnmain() {
// Create a fixed point value 1.0letone:UFixedPoint123x128=1_u64.into();
// Create a fixed point value 100.0lethundred:UFixedPoint123x128=100_u64.into();
// Calculate a fixed point value 0.01letone_over_hundred=one/hundred;
// ORletother_example=div_u64_by_u128(1, 100);
assert_eq!(one_over_hundred, other_example );
letmultiplication_is_supported=one_over_hundred*hundred;
assert_eq!(multiplication_is_supported, 1_u64.into());
lettwo:UFixedPoint123x128=2_u64.into();
letthree:UFixedPoint123x128=3_u64.into();
letsix:UFixedPoint123x128=6_u64.into();
letone_over_three=one/three;
letone_over_six=one/six;
// PartialEq is implemented, values are equal if they are close enough.// Difference is less than 1 / 2^124assert_eq!(one_over_three, one_over_six*two);
// Calculate square of exponent lete_pow_2=exp_power_static(two); // calculate e^2
}
This crate also provides additional method for UFixedPoint123x128 type through public
UFixedPoint123x128Impl which implements UFixedPointTrait.
// Additional methods implementationusefp::{ UFixedPoint123x128Impl };
UFixedPoint123x128ImplimplementsUFixedPointTraittraitUFixedPointTrait {
// Returns integer part of the fixed point valuefnget_integer(self:UFixedPoint123x128) ->u128;
// Returns fractional part of the fixed point valuefnget_fractional(self:UFixedPoint123x128) ->u128;
// Rounds fixed point and returns integer part. 0.5 is rounded up.fnround(self:UFixedPoint123x128) ->u128;
}
Contributing
[WIP] but feel free to open issue, discuss it with me and submit PR upon assignment.
Special Thanks
Shramee Srivastav
Shramee Srivastav

For submitting bug report on unchecked error during packing due to incorrect MAX_INT value.

PS
Love and peace, dude. Hope it was useful.
About
Fixed Point Arithmetic type for Cairo smart contracts
scarbs.xyz/packages/fp
Topics
cairofixed-pointfixed-point-arithmeticsmart-contractsstarknet
Resources
Readme
MIT license
Activity
Stars
7 stars
Watchers
1 watching
Forks
1 fork
Report repository
Releases
Packages
Contributors
Languages