2221 lines
1.8 MiB
HTML
2221 lines
1.8 MiB
HTML
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<!DOCTYPE html>
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<!-- Created by pdf2htmlEX (https://github.com/pdf2htmlEX/pdf2htmlEX) -->
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<html xmlns="http://www.w3.org/1999/xhtml">
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<head>
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<meta charset="utf-8"/>
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<meta name="generator" content="pdf2htmlEX"/>
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<meta http-equiv="X-UA-Compatible" content="IE=edge,chrome=1"/>
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<style type="text/css">
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/*!
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* Base CSS for pdf2htmlEX
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* Copyright 2012,2013 Lu Wang <coolwanglu@gmail.com>
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* https://github.com/pdf2htmlEX/pdf2htmlEX/blob/master/share/LICENSE
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*/#sidebar{position:absolute;top:0;left:0;bottom:0;width:250px;padding:0;margin:0;overflow:auto}#page-container{position:absolute;top:0;left:0;margin:0;padding:0;border:0}@media screen{#sidebar.opened+#page-container{left:250px}#page-container{bottom:0;right:0;overflow:auto}.loading-indicator{display:none}.loading-indicator.active{display:block;position:absolute;width:64px;height:64px;top:50%;left:50%;margin-top:-32px;margin-left:-32px}.loading-indicator img{position:absolute;top:0;left:0;bottom:0;right:0}}@media print{@page{margin:0}html{margin:0}body{margin:0;-webkit-print-color-adjust:exact}#sidebar{display:none}#page-container{width:auto;height:auto;overflow:visible;background-color:transparent}.d{display:none}}.pf{position:relative;background-color:white;overflow:hidden;margin:0;border:0}.pc{position:absolute;border:0;padding:0;margin:0;top:0;left:0;width:100%;height:100%;overflow:hidden;display:block;transform-origin:0 0;-ms-transform-origin:0 0;-webkit-transform-origin:0 0}.pc.opened{display:block}.bf{position:absolute;border:0;margin:0;top:0;bottom:0;width:100%;height:100%;-ms-user-select:none;-moz-user-select:none;-webkit-user-select:none;user-select:none}.bi{position:absolute;border:0;margin:0;-ms-user-select:none;-moz-user-select:none;-webkit-user-select:none;user-select:none}@media print{.pf{margin:0;box-shadow:none;page-break-after:always;page-break-inside:avoid}@-moz-document url-prefix(){.pf{overflow:visible;border:1px solid #fff}.pc{overflow:visible}}}.c{position:absolute;border:0;padding:0;margin:0;overflow:hidden;display:block}.t{position:absolute;white-space:pre;font-size:1px;transform-origin:0 100%;-ms-transform-origin:0 100%;-webkit-transform-origin:0 100%;unicode-bidi:bidi-override;-moz-font-feature-settings:"liga" 0}.t:after{content:''}.t:before{content:'';display:inline-block}.t span{position:relative;unicode-bidi:bidi-override}._{display:inline-block;color:transparent;z-index:-1}::selection{background:rgba(127,255,255,0.4)}::-moz-selection{background:rgba(127,255,255,0.4)}.pi{display:none}.d{position:absolute;transform-origin:0 100%;-ms-transform-origin:0 100%;-webkit-transform-origin:0 100%}.it{border:0;background-color:rgba(255,255,255,0.0)}.ir:hover{cursor:pointer}</style>
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<style type="text/css">
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/*!
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* Fancy styles for pdf2htmlEX
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* Copyright 2012,2013 Lu Wang <coolwanglu@gmail.com>
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* https://github.com/pdf2htmlEX/pdf2htmlEX/blob/master/share/LICENSE
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*/@keyframes fadein{from{opacity:0}to{opacity:1}}@-webkit-keyframes fadein{from{opacity:0}to{opacity:1}}@keyframes swing{0{transform:rotate(0)}10%{transform:rotate(0)}90%{transform:rotate(720deg)}100%{transform:rotate(720deg)}}@-webkit-keyframes swing{0{-webkit-transform:rotate(0)}10%{-webkit-transform:rotate(0)}90%{-webkit-transform:rotate(720deg)}100%{-webkit-transform:rotate(720deg)}}@media screen{#sidebar{background-color:#2f3236;background-image:url("data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSI0IiBoZWlnaHQ9IjQiPgo8cmVjdCB3aWR0aD0iNCIgaGVpZ2h0PSI0IiBmaWxsPSIjNDAzYzNmIj48L3JlY3Q+CjxwYXRoIGQ9Ik0wIDBMNCA0Wk00IDBMMCA0WiIgc3Ryb2tlLXdpZHRoPSIxIiBzdHJva2U9IiMxZTI5MmQiPjwvcGF0aD4KPC9zdmc+")}#outline{font-family:Georgia,Times,"Times New Roman",serif;font-size:13px;margin:2em 1em}#outline ul{padding:0}#outline li{list-style-type:none;margin:1em 0}#outline li>ul{margin-left:1em}#outline a,#outline a:visited,#outline a:hover,#outline a:active{line-height:1.2;color:#e8e8e8;text-overflow:ellipsis;white-space:nowrap;text-decoration:none;display:block;overflow:hidden;outline:0}#outline a:hover{color:#0cf}#page-container{background-color:#9e9e9e;background-image:url("data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSI1IiBoZWlnaHQ9IjUiPgo8cmVjdCB3aWR0aD0iNSIgaGVpZ2h0PSI1IiBmaWxsPSIjOWU5ZTllIj48L3JlY3Q+CjxwYXRoIGQ9Ik0wIDVMNSAwWk02IDRMNCA2Wk0tMSAxTDEgLTFaIiBzdHJva2U9IiM4ODgiIHN0cm9rZS13aWR0aD0iMSI+PC9wYXRoPgo8L3N2Zz4=");-webkit-transition:left 500ms;transition:left 500ms}.pf{margin:13px auto;box-shadow:1px 1px 3px 1px #333;border-collapse:separate}.pc.opened{-webkit-animation:fadein 100ms;animation:fadein 100ms}.loading-indicator.active{-webkit-animation:swing 1.5s ease-in-out .01s infinite alternate none;animation:swing 1.5s ease-in-out .01s infinite alternate none}.checked{background:no-repeat url(data:image/png;base64,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)}}</style>
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<style type="text/css">
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.ff0{font-family:sans-serif;visibility:hidden;}
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@font-face{font-family:ff1;src:url('data:application/font-woff;base64,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|
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}
|
|||
|
|
</style>
|
|||
|
|
<script>
|
|||
|
|
/*
|
|||
|
|
Copyright 2012 Mozilla Foundation
|
|||
|
|
Copyright 2013 Lu Wang <coolwanglu@gmail.com>
|
|||
|
|
Apachine License Version 2.0
|
|||
|
|
*/
|
|||
|
|
(function(){function b(a,b,e,f){var c=(a.className||"").split(/\s+/g);""===c[0]&&c.shift();var d=c.indexOf(b);0>d&&e&&c.push(b);0<=d&&f&&c.splice(d,1);a.className=c.join(" ");return 0<=d}if(!("classList"in document.createElement("div"))){var e={add:function(a){b(this.element,a,!0,!1)},contains:function(a){return b(this.element,a,!1,!1)},remove:function(a){b(this.element,a,!1,!0)},toggle:function(a){b(this.element,a,!0,!0)}};Object.defineProperty(HTMLElement.prototype,"classList",{get:function(){if(this._classList)return this._classList;
|
|||
|
|
var a=Object.create(e,{element:{value:this,writable:!1,enumerable:!0}});Object.defineProperty(this,"_classList",{value:a,writable:!1,enumerable:!1});return a},enumerable:!0})}})();
|
|||
|
|
</script>
|
|||
|
|
<script>
|
|||
|
|
(function(){/*
|
|||
|
|
pdf2htmlEX.js: Core UI functions for pdf2htmlEX
|
|||
|
|
Copyright 2012,2013 Lu Wang <coolwanglu@gmail.com> and other contributors
|
|||
|
|
https://github.com/pdf2htmlEX/pdf2htmlEX/blob/master/share/LICENSE
|
|||
|
|
*/
|
|||
|
|
var pdf2htmlEX=window.pdf2htmlEX=window.pdf2htmlEX||{},CSS_CLASS_NAMES={page_frame:"pf",page_content_box:"pc",page_data:"pi",background_image:"bi",link:"l",input_radio:"ir",__dummy__:"no comma"},DEFAULT_CONFIG={container_id:"page-container",sidebar_id:"sidebar",outline_id:"outline",loading_indicator_cls:"loading-indicator",preload_pages:3,render_timeout:100,scale_step:0.9,key_handler:!0,hashchange_handler:!0,view_history_handler:!0,__dummy__:"no comma"},EPS=1E-6;
|
|||
|
|
function invert(a){var b=a[0]*a[3]-a[1]*a[2];return[a[3]/b,-a[1]/b,-a[2]/b,a[0]/b,(a[2]*a[5]-a[3]*a[4])/b,(a[1]*a[4]-a[0]*a[5])/b]}function transform(a,b){return[a[0]*b[0]+a[2]*b[1]+a[4],a[1]*b[0]+a[3]*b[1]+a[5]]}function get_page_number(a){return parseInt(a.getAttribute("data-page-no"),16)}function disable_dragstart(a){for(var b=0,c=a.length;b<c;++b)a[b].addEventListener("dragstart",function(){return!1},!1)}
|
|||
|
|
function clone_and_extend_objs(a){for(var b={},c=0,e=arguments.length;c<e;++c){var h=arguments[c],d;for(d in h)h.hasOwnProperty(d)&&(b[d]=h[d])}return b}
|
|||
|
|
function Page(a){if(a){this.shown=this.loaded=!1;this.page=a;this.num=get_page_number(a);this.original_height=a.clientHeight;this.original_width=a.clientWidth;var b=a.getElementsByClassName(CSS_CLASS_NAMES.page_content_box)[0];b&&(this.content_box=b,this.original_scale=this.cur_scale=this.original_height/b.clientHeight,this.page_data=JSON.parse(a.getElementsByClassName(CSS_CLASS_NAMES.page_data)[0].getAttribute("data-data")),this.ctm=this.page_data.ctm,this.ictm=invert(this.ctm),this.loaded=!0)}}
|
|||
|
|
Page.prototype={hide:function(){this.loaded&&this.shown&&(this.content_box.classList.remove("opened"),this.shown=!1)},show:function(){this.loaded&&!this.shown&&(this.content_box.classList.add("opened"),this.shown=!0)},rescale:function(a){this.cur_scale=0===a?this.original_scale:a;this.loaded&&(a=this.content_box.style,a.msTransform=a.webkitTransform=a.transform="scale("+this.cur_scale.toFixed(3)+")");a=this.page.style;a.height=this.original_height*this.cur_scale+"px";a.width=this.original_width*this.cur_scale+
|
|||
|
|
"px"},view_position:function(){var a=this.page,b=a.parentNode;return[b.scrollLeft-a.offsetLeft-a.clientLeft,b.scrollTop-a.offsetTop-a.clientTop]},height:function(){return this.page.clientHeight},width:function(){return this.page.clientWidth}};function Viewer(a){this.config=clone_and_extend_objs(DEFAULT_CONFIG,0<arguments.length?a:{});this.pages_loading=[];this.init_before_loading_content();var b=this;document.addEventListener("DOMContentLoaded",function(){b.init_after_loading_content()},!1)}
|
|||
|
|
Viewer.prototype={scale:1,cur_page_idx:0,first_page_idx:0,init_before_loading_content:function(){this.pre_hide_pages()},initialize_radio_button:function(){for(var a=document.getElementsByClassName(CSS_CLASS_NAMES.input_radio),b=0;b<a.length;b++)a[b].addEventListener("click",function(){this.classList.toggle("checked")})},init_after_loading_content:function(){this.sidebar=document.getElementById(this.config.sidebar_id);this.outline=document.getElementById(this.config.outline_id);this.container=document.getElementById(this.config.container_id);
|
|||
|
|
this.loading_indicator=document.getElementsByClassName(this.config.loading_indicator_cls)[0];for(var a=!0,b=this.outline.childNodes,c=0,e=b.length;c<e;++c)if("ul"===b[c].nodeName.toLowerCase()){a=!1;break}a||this.sidebar.classList.add("opened");this.find_pages();if(0!=this.pages.length){disable_dragstart(document.getElementsByClassName(CSS_CLASS_NAMES.background_image));this.config.key_handler&&this.register_key_handler();var h=this;this.config.hashchange_handler&&window.addEventListener("hashchange",
|
|||
|
|
function(a){h.navigate_to_dest(document.location.hash.substring(1))},!1);this.config.view_history_handler&&window.addEventListener("popstate",function(a){a.state&&h.navigate_to_dest(a.state)},!1);this.container.addEventListener("scroll",function(){h.update_page_idx();h.schedule_render(!0)},!1);[this.container,this.outline].forEach(function(a){a.addEventListener("click",h.link_handler.bind(h),!1)});this.initialize_radio_button();this.render()}},find_pages:function(){for(var a=[],b={},c=this.container.childNodes,
|
|||
|
|
e=0,h=c.length;e<h;++e){var d=c[e];d.nodeType===Node.ELEMENT_NODE&&d.classList.contains(CSS_CLASS_NAMES.page_frame)&&(d=new Page(d),a.push(d),b[d.num]=a.length-1)}this.pages=a;this.page_map=b},load_page:function(a,b,c){var e=this.pages;if(!(a>=e.length||(e=e[a],e.loaded||this.pages_loading[a]))){var e=e.page,h=e.getAttribute("data-page-url");if(h){this.pages_loading[a]=!0;var d=e.getElementsByClassName(this.config.loading_indicator_cls)[0];"undefined"===typeof d&&(d=this.loading_indicator.cloneNode(!0),
|
|||
|
|
d.classList.add("active"),e.appendChild(d));var f=this,g=new XMLHttpRequest;g.open("GET",h,!0);g.onload=function(){if(200===g.status||0===g.status){var b=document.createElement("div");b.innerHTML=g.responseText;for(var d=null,b=b.childNodes,e=0,h=b.length;e<h;++e){var p=b[e];if(p.nodeType===Node.ELEMENT_NODE&&p.classList.contains(CSS_CLASS_NAMES.page_frame)){d=p;break}}b=f.pages[a];f.container.replaceChild(d,b.page);b=new Page(d);f.pages[a]=b;b.hide();b.rescale(f.scale);disable_dragstart(d.getElementsByClassName(CSS_CLASS_NAMES.background_image));
|
|||
|
|
f.schedule_render(!1);c&&c(b)}delete f.pages_loading[a]};g.send(null)}void 0===b&&(b=this.config.preload_pages);0<--b&&(f=this,setTimeout(function(){f.load_page(a+1,b)},0))}},pre_hide_pages:function(){var a="@media screen{."+CSS_CLASS_NAMES.page_content_box+"{display:none;}}",b=document.createElement("style");b.styleSheet?b.styleSheet.cssText=a:b.appendChild(document.createTextNode(a));document.head.appendChild(b)},render:function(){for(var a=this.container,b=a.scrollTop,c=a.clientHeight,a=b-c,b=
|
|||
|
|
b+c+c,c=this.pages,e=0,h=c.length;e<h;++e){var d=c[e],f=d.page,g=f.offsetTop+f.clientTop,f=g+f.clientHeight;g<=b&&f>=a?d.loaded?d.show():this.load_page(e):d.hide()}},update_page_idx:function(){var a=this.pages,b=a.length;if(!(2>b)){for(var c=this.container,e=c.scrollTop,c=e+c.clientHeight,h=-1,d=b,f=d-h;1<f;){var g=h+Math.floor(f/2),f=a[g].page;f.offsetTop+f.clientTop+f.clientHeight>=e?d=g:h=g;f=d-h}this.first_page_idx=d;for(var g=h=this.cur_page_idx,k=0;d<b;++d){var f=a[d].page,l=f.offsetTop+f.clientTop,
|
|||
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<div id="pf3" class="pf w0 h0" data-page-no="3"><div class="pc pc3 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,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"/><div class="t m0 x5 h7 y7 ff1 fs3 fc1 sc0 ls0 ws0">T<span class="_ _b"></span>able<span class="_ _f"> </span>of<span class="_ _8"> </span>Contents</div><div class="t m0 x6 h8 yf ff1 fs4 fc2 sc0 ls0 ws0">2<span class="_ _9"> </span><span class="fs2 fc0">Floating-p<span class="_ _c"></span>oint<span class="_ _a"> </span>T<span class="_ _b"></span>yp<span class="_ _c"></span>es<span class="_ _4"> </span>and<span class="_ _a"> </span>Arithmetic</span></div><div class="t m0 x7 h6 y10 ff4 fs4 fc0 sc0 ls0 ws0">IEEE<span class="_ _d"> </span>Floating-p<span class="_ _c"></span>oint<span class="_ _d"> </span>Standa<span class="_ _5"></span>rd<span class="_ _d"> </span>and<span cla
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<div id="pf4" class="pf w0 h0" data-page-no="4"><div class="pc pc4 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,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"/><div class="t m0 x5 h7 y7 ff1 fs3 fc1 sc0 ls0 ws0">T<span class="_ _b"></span>able<span class="_ _f"> </span>of<span class="_ _8"> </span>Contents</div><div class="t m0 x6 h8 y1b ff1 fs4 fc2 sc0 ls0 ws0">3<span class="_ _9"> </span><span class="fs2 fc0">Floating-p<span class="_ _c"></span>oint<span class="_ _a"> </span>Issues</span></div><div class="t m0 x7 h6 y1c ff4 fs4 fc0 sc0 ls0 ws0">Catastrophic<span class="_ _d"> </span>Cancellation</div><div class="t m0 x7 h6 y1d ff4 fs4 fc0 sc0 ls0 ws0">Floating-p<span class="_ _c"></span>oint<span class="_ _d"> </span>Compa<span class="_ _5"></span>rison</div><div class="t m0 x8 h9 ye ff6 fs5 fc0 sc0 ls0 ws0">3/69</div><a class="l" href="#pf37" data-dest-detail='[55,"XYZ",27.346,256.118,null]'><div class="d m1" style="border-style:none;position:absolute;left:70.614000px;bottom:196.410000px;width:137.937000px;height:14.744000px;backgroun
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<div id="pf5" class="pf w0 h0" data-page-no="5"><div class="pc pc5 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,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"/><div class="t m0 xa h2 y1e ff1 fs0 fc0 sc0 ls0 ws0">Integral<span class="_ _1"> </span>Data<span class="_ _1"> </span>T<span class="_ _10"></span>yp<span class="_ _0"></span>es</div><a class="l" href="#pf5" data-dest-detail='[5,"XYZ",27.346,256.118,null]'><div class="d m1" style="border-style:none;position:absolute;left:158.662500px;bottom:198.648000px;width:228.985000px;height:24.026000px;background-color:rgba(255,255,255,0.000001);"></div></a></div><div class="pi" data-data='{"ctm":[1.500000,0.000000,0.000000,1.500000,0.000000,0.000000]}'></div></div>
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<div id="pf8" class="pf w0 h0" data-page-no="8"><div class="pc pc8 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,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<div id="pf9" class="pf w0 h0" data-page-no="9"><div class="pc pc9 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA4wAAAH/CAIAAACTgcSzAAAACXBIWXMAABYlAAAWJQFJUiTwAAAJVUlEQVR42u3cMYoTYRjH4YzMhzAweAaxSrG1iKQYWGGvYOF5vIQ3sPAIQWKxN0jjDayWgbi+ZImdhc2SzWjeb/I8Bxgm/9mFH1/INK9ev10AAEAa32+/PbMCAADZiFQAAEQqAACIVAAARCoAAIhUAABEKgAAiFQAAEQqAACIVAAAEKkAAIhUAAAQqQAAiFQAABCpAACIVAAAEKkAAIhUAAAQqQAAIFIBABCpAAAgUgEAEKkAACBSAQAQqQAAIFIBAECkAgAgUgEAQKQCACBSAQBApAIAIFIBAECkAgAgUgEAQKQCAIBIBQBApAIAgEgFAECkAgCASAUAQKQCAIBIBQAAkQoAgEgFAACRCgCASAUAAJEKAIBIBQAAkQoAgEgFAACRCgAAIhUAAJEKAAAiFQAAkQoAACIVAACRCgAAIhUAAP5oIsIKAADkUUpxkgoAQDoiFQAAkQoAACIVAACRCgAAIhUAAJEKAAAiFQAAkQoAACIVAABEKgAAIhUAAEQqAAAiFQAARCoAACIVAABEKgAAIhUAAEQqAACIVAAARCoAAIhUAABEKgAAiFQAAEQqAACIVAAAEKkAAIhUAAAQqQAAiFQAABCpAACIVAAAEKkAAIhUAAAQqQAAIFIBABCpAAAgUgEAEKkAACBSAQAQqQAAIFIBAECkAgAgUgEAQKQCACBSAQBApAIAIFIBAECkAgAgUgEAQKQCAIBIBQBApAIAgEgFAECkAgCASAUAQKQCAIBIBQAAkQoAgEgFAACRCgCASAUAAJEKAIBIBQAAkQoAgEgFAACRCgAAIhUAAJEKAAAiFQAAkQoAACIVAACRCgAAIhUAAEQqAAAiFQAARCoAACIVAABEKgAAIhUAAEQqAAAiFQAARCoAAIhUAABEKgAAiFQAAEQqAACIVAAARCoAAIhUAAAQqQAAiFQAABCpAACIVAAAmEQ77eWWq8GmAACpbDfr6u7ZSSoAAOk0EWEFAADyKKU4SQUAIB2RCgCASAUAAJEKAIBIBQAAkQoAgEgFAACRCgDAxWlNABxrHMc5fZy+7+c3yyQfqq4HPcvn6B/NA/qf22bjJBUAAJEKAAAiFQAAkQoAACIVAACRCgAAIhUAAJEKAAAiFQAARCoAACIVAABEKgAAIhUAAEQqAAAiFQAARCoAACIVAABEKgAAiFQAAEQqAACIVAAARCoAAIhUAABEKgAAnFdrAuBYfd8bwSwA/5STVAAARCoAAIhUAABEKgAAnKqJCCsAAJBHKcVJKgAA6YhUAABEKgAAPGbil/kvV4NNAQBS2W7W1d2zH04BAJCLH04BAJCRSAUAQKQCAIBIBQBApAIAwKkmfgXVbrezKQBAKl3XVXfPTlIBABCpAAAgUgEAEKkAACBSAQAQqQAAIFIBABCpAAAgUgEAQKQCACBSAQBApAIAIFIBAECkAgAgUgEAQKQCACBSAQBApAIAgEgFAECkAgCASAUAQKQCAIBIBQBApAIAgEgFAACRCgCASAUAAJEKAIBIBQAAkQoAwLy1016u6zqbAgBwIiepAACIVAAAEKkAAIhUAAAQqQAAiFQAABCpAACIVAAAEKkAACBSAQAQqQAAIFIBABCpAAAgUgEAEKkAACBSAQAQqQAAIFIBAECkAgAgUgEAQKQCACBSAQBApAIAIFIBAECkAgCASAUAQKQCAMBRWhMAMJX9/uFquD79OtvN2phw4ZqIsAIAAHmUUnzdDwBAOiIVAACRCgAAIhUAAJEKAAAiFQAAkQoAACIVAACRCgAAIhUAAEQqAAAiFQAARCoAACIVAABEKgAAIhUAAEQqAAAiFQAARCoAAIhUAABEKgAAiFQAAEQqAACIVAAARCoAAIhUAAAQqQAAiFQAABCpAADUrTUBAFPZ7x+uhuvTr7PdrI0JF66JCCsAAJBHKcXX/QAApCNSAQAQqQAAIFIBABCpAAAgUgEAmJ2J35O6XA02BQBIpcZ3D3tPKgAAuXhPKgAAGYlUAABEKgAAiFQAAEQqAACIVAAARCoAAIhUAABEKgAAiFQAABCpAACIVAAAEKkAAIhUAAAQqQAAiFQAABCpAACIVAAAEKkAACBSAQCoTFvRvY7jWMut9n3vbwsA4MmcpAIAIFIBAECkAgAgUgEAQKQCACBSAQBApAIAIFIBAECkAgCASAUAQKQCAIBIBQBApAIAgEgFAECkAgCASAUAQKQCAIBIBQAAkQoAgEgFAACRCgCASAUAAJEKAIBIBQCA82oiwgoAAORRSnGSCgBAOiIVAACRCgAAIhUAAJEKAAAiFQAAkQoAACIVAACRCgAAIhUAAEQqAAAiFQAARCoAACIVAABEKgAAIhUAAEQqAAAiFQAARCoAAIhUAABEKgAAiFQAAEQqAACIVAAARCoAAIhUAAAQqQAAiFQAABCpAACIVAAAEKkAAIhUAAAQqQAAiFQAABCpAAAgUgEAEKkAACBSAQAQqQAAIFIBABCpAAAgUgEAQKQCACBSAQBApAIAIFIBAECkAgAgUgEAQKQCACBSAQBApAIAgEgFAECkAgCASAUAQKQCAIBIBQBApAIAgEgFAACRCgCASAUAAJEKAIBIBQAAkQoAgEgFAACRCgCASAUAAJEKAAAiFQAAkQoAACIVAACRCgAAIhUAAJEKAAAiFQAARCoAACIVAABEKgAAIhUAAEQqAAAiFQAARCoAACIVAABEKgAAiFQAAEQqAACIVAAARCoAAIhUAABEKgAAiFQAABCpAACIVAAAEKkAAIhUAAAQqQAAiFQAABCpAACIVAAAEKkAACBSAQAQqQAAIFIBABCpAAAgUgEAEKkAACBSAQBApAIAIFIBAECkAgAgUgEAQKQCACBSAQBApAIAIFIBAECkAgCASAUAQKQCAIBIBQBApAIAgEgFAECkAgCASAUAAJEKAIBIBQCAR7W13OjP+/ub9x88MKjL1y+fjQDAEzQRYQUAAPIopfi6HwCAdEQqAAAiFQAARCoAACIVAABEKgAAIhUAAEQqAAAiFQAARCoAAIhUAABEKgAAiFQAAEQqAACIVAAARCoAAIhUAABEKgAAiFQAABCpAACIVAAAEKkAAIhUAAAQqQAAiFQAABCpAAAgUgEAEKkAACBSAQAQqQAAIFIBAJi39u7jSyv85ce7T0YAADiX5Zubpnnx/HD3a7E4HA4GAQAghd/rc1xmaP+qjgAAAABJRU5ErkJggg=="/><div class="t m0 x5 h7 y7 ff1 fs3 fc1 sc0 ls0 ws0">C++<span class="_ _8"> </span>Data<span class="_ _f"> </span>Mo<span class="_ _c"></span>del</div><div class="t m0 xc hb y2b ff1 fs7 fc0 sc0 ls0 ws0">Mo<span class="_ _c"></span>del/Bits<span class="_ _15"> </span>OS<span class="_ _16"> </span><span class="ff5">short<span class="_ _17"> </span>int<span class="_ _17"> </span>long<span class="_ _17"> </span>long<span class="_ _18"> </span>long<span class="_ _17"> </span>pointer</span></div><div class="t m0 xd hb y2c ff9 fs7 fc0 sc0 ls0 ws0">ILP32<span class="_ _19"> </span><span class="ff4">Windo<span class="_ _5"></span>ws/Unix<span class="_ _e"> </span>32-
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<div id="pfa" class="pf w0 h0" data-page-no="a"><div class="pc pca w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,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"/><div class="t m0 x5 h7 y7 ff1 fs3 fc1 sc0 ls0 ws0">Fixed<span class="_ _8"> </span>Width<span class="_ _f"> </span>Integers<span class="_ _22"> </span>1/3</div><div class="t m0 xf hf y32 ff5 fs7 fc1 sc0 ls0 ws0">int*<span class="_ _7"> </span>t<span class="_ _8"> </span><cstdint></div><div class="t m0 xf hb y33 ff4 fs7 fc0 sc0 ls0 ws0">C++<span class="_ _e"> </span>p<span class="_ _5"></span>rovides<span class="_ _e"> </span>fixed<span class="_ _e"> </span>width<span class="_ _e"> </span>integer<span
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<div id="pfb" class="pf w0 h0" data-page-no="b"><div class="pc pcb w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,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"/><div class="t m0 x5 h7 y7 ff1 fs3 fc1 sc0 ls0 ws0">Fixed<span class="_ _8"> </span>Width<span class="_ _f"> </span>Integers<span class="_ _22"> </span>2/3</div><div class="t m0 xf hb y3b ff9 fs7 fc0 sc0 ls0 ws0">int*<span class="_ _7"> </span>t<span class="_ _21"> </span><span class="ff4">types<span class="_ _e"> </span>are<span class="_ _d"> </span>not<span class="_ _e"> </span>“real”<span class="_ _e"> </span>types,<span class="_ _7"> </span>they<span class="_ _e"> </span>a<span class="_ _5"></span>re
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<div id="pfc" class="pf w0 h0" data-page-no="c"><div class="pc pcc w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,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"/><div class="t m0 x5 h7 y7 ff1 fs3 fc1 sc0 ls0 ws0">Fixed<span class="_ _8"> </span>Width<span class="_ _f"> </span>Integers<span class="_ _22"> </span>3/3</div><div class="t m0 x1 hb y43 ff4 fs7 fc0 sc0 ls0 ws0">W<span class="_ _5"></span>a<span class="_ _5"></span>rning:<span class="_ _a"> </span>I/O<span class="_ _d"> </span>Stream<span class="_ _e"> </span>interprets<span class="_ _21"> </span><span class="ff9">uint8<span class="_ _7"> </span>t<span class="_ _21"> </span></span>and<span class="_ _21"> </span><span class="ff9">int8<span class="_ _8"> </span>t<span class="_ _21"> </span></span>as<span class="_ _21"> </span><span class="ff9">char<span class="_ _21"> </span></span>and<span class="_ _d"> </span>not<span class="_ _7"> </span>as<span class="_ _e"> </span>integer</div><div class="t m0 x1 hb y44 ff4 fs
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<div id="pfd" class="pf w0 h0" data-page-no="d"><div class="pc pcd w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA4wAAAH/CAIAAACTgcSzAAAACXBIWXMAABYlAAAWJQFJUiTwAAAKY0lEQVR42u3dMW4bRxSAYW2wgzjFIGcIXPECNhxDIFQECAzEQFjwSrlETsGCrQq5MHgBNb5BKuMV3AxiKD1pGLREcWd2v6/cRrtvtNCvWa3YvXz99goAAKrx6eOHH0wBAIDaiFQAAEQqAACIVAAARCoAAIhUAABEKgAAiFQAAEQqAACIVAAAEKkAAIhUAAAQqQAAiFQAABCpAACIVAAAEKkAAIhUAAAQqQAAIFIBABCpAAAgUgEAEKkAACBSAQAQqQAAIFIBAECkAgAgUgEAQKQCACBSAQBApAIAIFIBAECkAgAgUgEAQKQCAIBIBQCgKf2Er+3+7varxxfXNxbeigMANetevn5rCgAA1OPTxw8e9wMAUB2RCgCASAUAAJEKAIBIBQAAkQoAgEgFAACRCgCASAUAAJEKAAAiFQAAkQoAACIVAACRCgAAIhUAAJEKAAAiFQAAkQoAACIVAABEKgAAjelKKaYAAEA9Ukp2UgEAqI5IBQBApAIAgEgFAKA5fUPnuri+sWAAAI9zf3fb0NnaSQUAQKQCAIBIBQBApAIAgEgFAECkAgCASAUAQKQCAIBIBQAAkQoAgEgFAACRCgCASAUAAJEKAIBIBQAAkQoAgEgFAACRCgAAIhUAgMb0RnBG93e3xwcX1zcmY4YAgEgdjZYyQwDgLDzuBwBApAIAgEgFAECkAgCASAUAQKQCAIBIBQBApAIAgEgFAIADXSmllXONCAsGAPA4OedWTjWlZCcVAIDqiFQAAEQqAACIVAAARCoAAIhUAABEKgAAiFQAAEQqAACIVAAAEKkAAIhUAAAQqQAAiFQAABCpAACIVAAAEKkAAIhUAAAQqQAAIFIBABCpAAAgUgEAEKkAACBSAQAQqQAAMK7eCJ7Vq3fvjw/uthuTmYD9MCxXa4sLAM+hK6W0cq4RYcEAAB4n59zKqaaUPO4HAKA6IhUAAJEKAAAiFQAAkQoAACIVAACRCgAAIhUAAJEKAAAiFQAARCoAACIVAABEKgAAIhUAAEQqAAAiFQAARCoAACIVAABEKgAAiFQAAEQqAACIVAAARCoAAIhUAABEKgAAiFQAABCpAACIVAAAEKkAAIhUAAAQqQAAiFQAABCpAACIVAAAEKkAACBSAQAQqQAAIFIBABCpAAAgUgEAEKkAADCmrpRiCgAA1COlZCcVAIDqiFQAAEQqAACIVAAARCoAAIhUAABEKgAAiFQAAEQqAACIVAAAEKkAAIhUAAAQqQAAiFQAABCpAACIVAAAEKkAAIhUAAAQqQAAIFIBABCpAAAgUgEAEKkAACBSAQAQqQAAMK7eCE4XETO50pyz5QYARmQnFQAAkQoAACIVAACRCgAAIhUAAJEKAAAiFQAAkQoAACIVAABEKgAAIhUAAEQqAAAiFQAARCoAACIVAABEKgAAIhUAAEQqAAB8W28Ek7EfhuVqfXBwt92YDADQnK6UYgonioiZXGnO2XIDAGNJKXncDwBAdUQqAAAiFQAARCoAAM3x4hQNW1zfGELT7u9uDQGAYyklkQoAQHWR6nE/AADVEakAAIhUAAAQqQAAiFQAABCpAACIVAAAEKkAAIhUAAAQqQAAIFIBABCpAAAgUgEAEKkAACBSAQAQqQAAcGG9EZwuIgzhjHLOhgAAiFQAv5T6XRFog8f9AACIVAAAEKkAAIhUAAAQqQAAiFQAABCpAACIVAAAEKkAACBSAQAQqQAAIFIBABCpAAAgUgEAEKkAACBSAQAQqQAAUJneCPgu/3358usffx4f3203hgOXsR+G5WrtNgSmrSulmMKJIsIQzijnbAi4392GAMdSSh73AwBQHZEKAIBIBQAAkQoAgEgFAICn8i+oAL7Ca+8A47KTCgCASAUAAJEKAEBzfOIUAAB18YlTAADUSKQCACBSAQBApAIAIFIBAECkAgAgUgEAQKQCACBSAQBApAIAgEgFAECkAgCASAUAQKQCAIBIBQBApAIAgEgFAECkAgCASAUAAJEKAIBIBQAAkQoAgEgFAACRCgCASAUAAJEKAAAiFQAAkQoAACIVAACRCgAAIhUAAJEKAAAiFQAAkQoAACIVAABEKgAAIhUAAEQqAAAiFQAARCoAACIVAABEKgAAiFQAAGrWG8HpImImV5pzttwAwIjspAIAIFIBAECkAgAgUgEAQKQCACBSAQBApAIAIFIBAECkAgCASAUAQKQCAIBIBQBApAIAgEgFAECkAgCASAUAQKQCAIBIBQCAb+uNYDL2w7BcrQ8O7rYbkwEAmtOVUkzhRBExkyvNOVtuAGAsKSWP+wEAqI5IBQBApAIAgEgFAECkAgDAU3m7HwCAuni7HwCAGolUAABEKgAAiFQAAEQqAACIVAAARCoAAIhUAABEKgAAiFQAABCpAACIVAAAEKkAAIhUAAAQqQAAiFQAABCpAACIVAAAEKkAACBSAQAQqQAAIFIBABCpAAAgUgEAEKkAACBSAQBApAIAIFIBAECkAgAgUgEAQKQCACBSAQBApAIAIFIBAECkAgCASAUAQKQCAIBIBQBApAIAgEgFAECkAgCASAUAAJEKAIBIBQAAkQoAgEgFAACRCgCASAUAgAvqjeB0ETGTK805G0VVAweAubGTCgCASAUAAJEKAIBIBQAAkQoAgEgFAACRCgCASAUAAJEKAAAiFQAAkQoAACIVAACRCgAAIhUAAJEKAAAiFQAAkQoAAJXpjWAy9sOwXK0PDu62G5N5Jq/evT8+aOAAcBZdKcUUThQRM7nSnLNRVDVwAJiVlJLH/QAAVEekAgAgUgEAQKQCACBSAQDgqfwLqu/gFWwAgMuwkwoAgEgFAACRCgCASAUAgKfysagAANTFx6ICAFAjkQoAgEgFAACRCgCASAUAAJEKAIBIBQAAkQoAgEgFAACRCgAAIhUAAJEKAAAiFQAAkQoAACIVAACRCgAAIhUAAJEKAAAiFQAARCoAACIVAABEKgAAIhUAAEQqAAAiFQAARCoAAIhUAABEKgAAiFQAAEQqAACIVAAARCoAAIhUAABEKgAAiFQAABCpAACIVAAAEKkAAIhUAAAQqQAAiFQAABCpAAAgUgEAqFlvBHC6iLjMF8o5m3blazQ63yRnXPFRhjmf71V3BI9jJxUAAJEKAAAiFQCA5vibVBrgL0FhtretuxJmy04qAAAiFQAARCoAACIVAABEKgAAIhUAAEQqAAAiFQAARCoAAIhUAABEKgAAiFQAAEQqAACIVAAApq43AoCL2Q/DcrU+OLjbbkwGd4SbApEKMJqfXrzw0xfcEZzC434AAEQqAACIVAAARCoAADxVV0oxBQC4sIgwhDPKORvClKSU7KQCAFAdkQoAgEgFAACRCgBAc7w4BQBAXbw4BQBAjUQqAAAiFQAARCoAACIVAABEKgAAIhUAAEQqAAAiFQAARCoAAIhUAABEKgAAiFQAAEQqAACIVAAARCoAAIhUAABEKgAAiFQAABCpAACIVAAAEKkAAExM//mvX0yhLf/89rchAAATtnjze9f9/OPD53+vrh4eHgwEAIAq/A9FC84i2w1lwQAAAABJRU5ErkJggg=="/><div class="t m0 x5 h7 y7 ff5 fs3 fc1 sc0 ls0 ws0">size<span class="_ _f"> </span>t<span class="_ _8"> </span><span class="ff1">and<span class="_ _8"> </span></span>ptrdiff<span class="_ _f"> </span>t</div><div class="t m0 xf hf y4a ff5 fs7 fc1 sc0 ls0 ws0">size<span class="_ _7"> </span>t<span class="_
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<div id="pfe" class="pf w0 h0" data-page-no="e"><div class="pc pce w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,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"/><div class="t m0 x5 h7 y7 ff1 fs3 fc1 sc0 ls0 ws0">Signed/Unsigned<span class="_ _8"> </span>Integer<span class="_ _f"> </span>Cha<span class="_ _5"></span>racteristics</div><div class="t m0 x1 hb y55 ff5 fs7 fc0 sc0 ls0 ws0">Signed<span class="_ _e"> </span><span class="ff4">and<span class="_ _e"> </span></span>Unsigned<span class="_ _e"> </span><span class="ff4">integers<span class="_ _e"> </span>use<span class="_ _e"> </span>the<span class="_ _e"> </span>same<span class="_ _e"> </span>ha<span class="_ _5"></span>rdwa<span class="_ _5"></span>re<span class="_ _d"> </span>for<span class="_ _d"> </span>their<span class="_ _e"> </span>op<span class="_ _c"></span>erations,<span class="_ _e"> </span>but<span class="_ _e"> </span>they</span></div><div class="t m0 x1 hb y56 ff4 fs7 fc0 sc0 ls0 ws0">have<span class="_ _e"> </span>very<span class="_ _e"> </span>different<span class="_ _e"> </span>semantic</div><div class="t m0 x1 hb y57 ff4 fs7 fc0 sc0 ls0
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<div id="pf11" class="pf w0 h0" data-page-no="11"><div class="pc pc11 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,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"/><div class="t m0 x5 h7 y7 ff1 fs3 fc1 sc0 ls0 ws0">When<span class="_ _8"> </span>Use<span class="_ _f"> </span>Signed/Unsigned<span class="_ _8"> </span>Integer?<span class="_ _26"> </span>1/2</div><div class="t m0 x1 hb y73 ff4 fs7 fc0 sc0 ls0 ws0">Go<span class="_ _c"></span>ogle<span class="_ _d"> </span>Style<span class="_ _d"> </span>Guide</div><div class="t m0 x27 hb y74 ff4 fs7 fc0 sc0 ls0 ws0">Because<span class="_ _e"> </span>of<span class="_ _e"> </span>histo<span class="_ _5"></span>rical<span class="_ _e"> </span>accident,<span class="_ _e"> </span>the<span class="_ _e"> </span>C++<span class="_ _e"> </span>standa<span class="_ _5"></span>rd<span class="_ _e"> </span>also<span class="_ _e"> </span>uses<span class="_ _e"> </span>unsigned<span class="_ _e"> </span>integers<span class="_ _e"> </span>to</div><div class="
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<div id="pf12" class="pf w0 h0" data-page-no="12"><div class="pc pc12 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,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"/><div class="t m0 x5 h7 y7 ff1 fs3 fc1 sc0 ls0 ws0">When<span class="_ _8"> </span>Use<span class="_ _f"> </span>Signed/Unsigned<span class="_ _8"> </span>Integer?<span class="_ _26"> </span>2/2</div><div class="t m0 x1 hb y7d ff8 fs7 fc0 sc0 ls0 ws0">When<span class="_ _e"> </span>use<span class="_ _e"> </span><span class="ffe">signed<span class="_ _e"> </span></span>integer?</div><div class="t m0 xb hb y7e ffd fs7 fc0 sc0 ls0 ws0">•<span class="_ _4"> </span><span class="ff4">if<span class="_ _e"> </span>it<span class="_ _e"> </span>can<span class="_ _e"> </span>b<span class="_ _c"></span>e<span class="_ _d"> </span>mixed<span class="_ _e"> </span>with<span class="_ _e"> </span>negative<span class="_ _e"> </span>values,<span class="_ _e"> </span>e.g.<span class="_ _a"> </span>subtracting<span class="_ _e"> </span>b<span class="_ _5"></span>yte<span class="_ _e"> </span>sizes</span></div><div class="t m0 xb hb y7f ffd fs7 fc0 sc0 ls0
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<div id="pf13" class="pf w0 h0" data-page-no="13"><div class="pc pc13 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,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"/><div class="t m0 x5 h7 y7 ff1 fs3 fc1 sc0 ls0 ws0">Arithmetic<span class="_ _8"> </span>T<span class="_ _6"></span>yp<span class="_ _c"></span>e<span class="_ _8"> </span>Limits</div><div class="t m0 x1 hb y89 ff4 fs7 fc0 sc0 ls0 ws0">Query<span class="_ _e"> </span>p<span class="_ _5"></span>rop<span class="_ _c"></span>erties<span class="_ _d"> </span>of<span class="_ _e"> </span>arithmetic<span class="_ _d"> </span>types<span class="_ _e"> </span>in<span class="_ _e"> </span><span class="fc6">C++11</span>:</div><div class="t m0 xf he y8a ffe fs8 fca sc0 ls0 ws0">#<span class="_ _14"> </span>include<span class="_ _28"> </span><span class="fc9"><limits></span></div><div class="t m0 xf hd y8b ffb fs8 fc0 sc0 ls0 ws0">std<span class="fc8">::</span>numeric_limits<span class="fc8"><<span class="ff5 fc7">int</span>>::</span>max();<span class="_ _29"> </span><span class="ffe fc9">//<span class="_ _f"> </span><span class="ffa">2</span></
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<div id="pf14" class="pf w0 h0" data-page-no="14"><div class="pc pc14 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,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"/><div class="t m0 x5 h7 y7 ff1 fs3 fc1 sc0 ls0 ws0">Promotion<span class="_ _8"> </span>and<span class="_ _f"> </span>T<span class="_ _b"></span>runcation</div><div class="t m0 x1 hb y7d ff1 fs7 fc0 sc0 ls0 ws0">Promotion<span class="_ _e"> </span><span class="ff4">to<span class="_ _e"> </span>a<span class="_ _e"> </span>la<span class="_ _5"></span>rger<span class="_ _e"> </span>t<span class="_ _5"></span>yp<span class="_ _c"></span>e<span class="_ _e"> </span>k<span class="_ _5"></span>eeps<span class="_ _e"> </span>the<span class="_ _e"> </span>sign</span></div><div class="t m0 xf h10 y92 ff5 fs5 fc7 sc0 ls0 ws0">int16_t<span class="_ _8"> </span><span class="ff15 fc0">x<span class="_ _8"> </span><span class="fc8">=<span class="_ _8"> </span>-1</span>;</span></div><div class="t m0 xf h10 y93 ff5 fs5 fc7 sc0 ls0 ws0">int<span class="_ _2a"> </span><span class="ff15 fc0">y<span class="_ _8"> </span><span class="fc8">
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<div id="pf15" class="pf w0 h0" data-page-no="15"><div class="pc pc15 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,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<div id="pf16" class="pf w0 h0" data-page-no="16"><div class="pc pc16 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,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"/><div class="t m0 x5 h15 y7 ff1 fs3 fc1 sc0 ls0 ws0">Mixing<span class="_ _8"> </span>Signed/Unsigned<span class="_ _f"> </span>Erro<span class="_ _5"></span>rs<span class="_ _2c"> </span><span class="ff18"><span class="_ _8"> </span></span>2/2</div><div class="t m0 x1 hb yab ff4 fs7 fc0 sc0 ls0 ws0">Easy<span class="_ _e"> </span>case:</div><div class="t m0 xf he yac ff5 fs8 fc7 sc0 ls0 ws0">unsigned<span class="_ _f"> </span><span class="ffb fc0">x<span class="_ _f"> </span><span class="fc8">=<span class="_ _a"> </span>32</span>;<span class="_ _2d"> </span><span class="ffe fc9">//<span class="_ _f"> </span>x<span class="_ _f"> </span>can<span class="_ _a"> </span>be<span class="_ _f"> </span>also<span class="_ _f"> </span>a<span class="_ _f"> </span>pointer</span></span></div><div class="t m0 xf he yad ffb fs8 fc0 sc0 ls0 ws0">x<span class="_ _2e"> </span><span class="fc8">+=<span class="_ _f"> </span>2u<spa
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<div id="pf17" class="pf w0 h0" data-page-no="17"><div class="pc pc17 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,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"/><div class="t m0 x5 h7 y7 ff1 fs3 fc1 sc0 ls0 ws0">Undefined<span class="_ _8"> </span>Behavior<span class="_ _31"> </span>1/4</div><div class="t m0 x1 hb y7d ff8 fs7 fc0 sc0 ls0 ws0">Mo<span class="_ _5"></span>re<span class="_ _e"> </span>negative<span class="_ _e"> </span>values<span class="_ _e"> </span>than<span class="_ _e"> </span>p<span class="_ _c"></span>ositive</div><div class="t m0 xf h10 yb5 ff5 fs5 fc7 sc0 ls0 ws0">int<span class="_ _8"> </span><span class="ff15 fc0">x<span class="_ _8"> </span><span class="fc8">=<span class="_ _8"> </span></span>std<span class="fc8">::</span>numeric_limits<span class="fc8"><</span></span>int<span class="ff15 fc8">>::<span class="fc0">max()<span class="_ _8"> </span></span>*<span class="_ _8"> </span>-1<span class="fc0">;<span class="_ _8"> </span><span class="ffe fc9">//<span class="_ _9"> </span>(2ˆ31<span class="_ _8"> </span>-1)<span class="_ _8"> </span>*<span
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<div id="pf18" class="pf w0 h0" data-page-no="18"><div class="pc pc18 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,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"/><div class="t m0 x5 h7 y7 ff1 fs3 fc1 sc0 ls0 ws0">Undefined<span class="_ _8"> </span>Behavior<span class="_ _31"> </span>2/4</div><div class="t m0 x1 hb y7d ff8 fs7 fc0 sc0 ls0 ws0">Initialize<span class="_ _8"> </span><span class="ff4">an<span class="_ _e"> </span>integer<span class="_ _e"> </span>with<span class="_ _e"> </span>a<span class="_ _e"> </span>value<span class="_ _e"> </span>la<span class="_ _5"></span>rger<span class="_ _e"> </span>then<span class="_ _e"> </span>its<span class="_ _e"> </span>range<span class="_ _e"> </span>is<span class="_ _e"> </span>undefined<span class="_ _e"> </span>b<span class="_ _c"></span>ehavio<span class="_ _5"></span>r</span></div><div class="t m0 xf he yc4 ff5 fs8 fc7 sc0 ls0 ws0">int<span class="_ _f"> </span><span class="ffb fc0">z<span class="_ _f"> </span><span class="fc8">=<
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<div id="pf19" class="pf w0 h0" data-page-no="19"><div class="pc pc19 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA4wAAAH/CAIAAACTgcSzAAAACXBIWXMAABYlAAAWJQFJUiTwAAAImUlEQVR42u3ZsU0DQRCG0Vt0I6ITNVhErgAhYiS3QEA9bsIdEFCDJQKKoAMi6wLMJEeARAF24FnxXgWrf5NPu+327mEAAIAyPt7frqwAAEA1IhUAAJEKAAAiFQAAkQoAACIVAACRCgAAIhUAAJEKAAAiFQAARCoAACIVAABEKgAAIhUAAEQqAAAiFQAARCoAACIVAABEKgAAiFQAAEQqAACIVAAARCoAAIhUAABEKgAAiFQAABCpAACIVAAAEKkAAIhUAAAQqQAAiFQAABCpAACIVAAAEKkAACBSAQAQqQAAIFIBABCpAAAgUgEAEKkAACBSAQBApAIAIFIBAECkAgAgUgEAQKQCACBSAQBApAIAIFIBAECkAgCASAUAQKQCAIBIBQBApAIAgEgFAECkAgCASAUAgD8tM60AAEAdEeElFQCAckQqAAAiFQAARCoAACIVAABEKgAAIhUAAEQqAAAiFQAARCoAAIhUAABEKgAAiFQAAEQqAACIVAAARCoAAIhUAABEKgAAiFQAABCpAACIVAAAEKkAAIhUAAAQqQAAiFQAABCpAAAgUgEAEKkAACBSAQAQqQAAIFIBABCpAAAgUgEAEKkAACBSAQBApAIAIFIBAECkAgAgUgEAQKQCACBSAQBApAIAgEgFAECkAgCASAUAQKQCAIBIBQBApAIAgEgFAECkAgCASAUAAJEKAIBIBQAAkQoAgEgFAACRCgCASAUAAJEKAAAiFQAAkQoAACIVAACRCgAAIhUAAJEKAAAiFQAAkQoAACIVAABEKgAAIhUAAEQqAAAiFQAARCoAACIVAABEKgAAiFQAAEQqAACIVAAARCoAAIhUAABEKgAAiFQAAP6rsaOzzvPswgAATjNNU0en9ZIKAIBIBQAAkQoAgEgFAACRCgCASAUAAJEKAIBIBQAAkQoAACIVAACRCgAAIhUAAJEKAAAiFQAAkQoAACIVAACRCgAAIhUAAEQqAAAiFQAARCoAACIVAABEKgAAIhUAAEQqAACIVAAARCoAAIhUAABEKgAAiFQAAEQqAACIVAAARCoAAIhUAAAQqQAAiFQAABCpAACIVAAAEKkAAIhUAAAQqQAAIFIBABCpAAAgUgEAEKkAACBSAQAQqQAAIFIBABCpAAAgUgEAQKQCACBSAQBApAIAIFIBAECkAgAgUgEAQKQCAIBIBQBApAIAgEgFAECkAgCASAUAQKQCAIBIBQBApAIAgEgFAACRCgCASAUAAJEKAIBIBQAAkQoAgEgFAACRCgAAIhUAAJEKAAAiFQAAkQoAACIVAACRCgAAIhUAAJEKAAAiFQAARCoAACIVAABEKgAAIhUAAEQqAAAiFQAARCoAAIhUAABEKgAAiFQAAEQqAACIVAAARCoAAIhUAABEKgAAiFQAABCpAACIVAAAEKkAAIhUAAAQqQAAiFQAABCpAAAgUgEAEKkAACBSAQAQqQAAIFIBABCpAAAgUgEAEKkAACBSAQBApAIAIFIBAECkAgAgUgEAQKQCACBSAQBApAIAgEgFAECkAgCASAUAQKQCAIBIBQBApAIAgEgFAECkAgCASAUAAJEKAIBIBQAAkQoAgEgFAACRCgCASAUAAJEKAIBINQEAACIVAABEKgAAIhUAAEQqAAAiFQAARCoAACIVAABEKgAAiFQAAEQqAACIVAAARCoAAIhUAABEKgAAiFQAAEQqAACIVAAAEKkAAIhUAAAQqQAAiFQAABCpAACIVAAAEKkAACBSAQAQqQAAIFIBABCpAAAgUgEAEKkAACBSAQAQqQAAIFIBAECkAgAgUgEAQKQCACBSAQBApAIAIFIBAECkAgCASAUAQKQCAIBIBQBApAIAgEgFAECkAgCASAUAQKQCAIBIBQAAkQoAgEgFAACRCgCASAUAAJEKAIBIBQAAkQoAACIVAACRCgAAIhUAAJEKAAAiFQAAkQoAACIVAACRCgAAIhUAAEQqAAAiFQAARCoAACIVAABEKgAAIhUAAEQqAACIVAAARCoAAIhUAABEKgAAiFQAAEQqAACIVAAARCoAAIhUAAAQqQAAiFQAABCpAACIVAAAEKkAAIhUAAAQqQAAIFIBABCpAAAgUgEAEKkAACBSAQAQqQAAIFIBABCpAAAgUgEAQKQCACBSAQBApAIAIFIBAECkAgAgUgEAQKQCAIBIBQBApAIAgEgFAECkAgCASAUAQKQCAIBIBQBApAIAgEgFAACRCgCASAUAAJEKAIBIBQAAkQoAgEgFAACRCgAAIhUAAJEKAAAiFQAAkQoAACIVAACRCgAAIhUAAJEKAAAiFQAARCoAACIVAABEKgAAIhUAAEQqAAAiFQAARCoAACIVAABEKgAAiFQAAEQqAACcp2WmFQAAqCMivKQCAFCOSAUAQKQCAIBIBQBApAIAgEgFAECkAgCASAUAQKQCAIBIBQAAkQoAgEgFAACRCgCASAUAAJEKAIBIBQAAkQoAgEgFAACRCgAAIhUAAJEKAAAiFQAAkQoAACIVAACRCgAAIhUAAEQqAAAiFQAARCoAACIVAABEKgAAIhUAAEQqAAAiFQAARCoAAIhUAABEKgAAiFQAAEQqAACIVAAARCoAAIhUAAAQqQAAiFQAABCpAACIVAAAEKkAAIhUAAAQqQAAiFQAABCpAAAgUgEAEKkAACBSAQAQqQAAIFIBABCpAABwOWMvB/06HjdPzy4M+rJ/fTECACdomWkFAADqiAjf/QAAlCNSAQAQqQAAIFIBABCpAAAgUgEAEKkAACBSAQAQqQAAIFIBAECkAgAgUgEAQKQCACBSAQBApAIAIFIBAECkAgAgUgEAQKQCAIBIBQBApAIAgEgFAECkAgCASAUAQKQCAIBIBQAAkQoAgEgFAACRCgBA38bDdmUFuLjPx50RAODX+n7T2s31cvgehmVZDAIAQAk/N0EjANSUhekAAAAASUVORK5CYII="/><div class="t m0 x5 h7 y7 ff1 fs3 fc1 sc0 ls0 ws0">Undefined<span class="_ _8"> </span>Behavior<span class="_ _31"> </span>3/4</div><div class="t m0 x1 hb yce ff8 fs7 fc0 sc0 ls0 ws0">Even<span class="_ _e"> </span>w<span class="_ _5"></span>o<span class="_ _5"></span>rse<span class="_ _e"> </span>example:</div><div class="t m0 xf he ycf ffe fs8 fca sc0 ls0 ws0">#<span class="_ _14"> </span>include<span class="_ _28"> </span><span class="fc9"><iostream></span></div><div class="t m0 xf he yd0 ff5 fs8 fc7 sc0 ls0 ws0">int<span class="_ _f"> </span><span class="ffb fc4">main<span class="fc0">()<span class="_ _f"> </span>{</span></span></div><div class="t m0 x7 he yd1 ff5 fs8 fcb sc0 ls0 ws0">for<span class="_ _f"> </span><span class="ffb fc0">(</span><span class="fc7">int<span class="_ _f"> </span><span class="ffb fc0">i<span class="_ _a"> </span><span class="fc8">=<span class="_ _f"> </span>0</s
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<div id="pf1a" class="pf w0 h0" data-page-no="1a"><div class="pc pc1a w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,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"/><div class="t m0 x5 h15 y7 ff1 fs3 fc1 sc0 ls0 ws0">Undefined<span class="_ _8"> </span>Behavior<span class="_ _39"> </span><span class="ff18"><span class="_ _8"> </span></span>4/4</div><div class="t m0 x1 hb yd9 ff1 fs7 fc0 sc0 ls0 ws0">Is<span class="_ _7"> </span>the<span class="_ _7"> </span>following<span class="_ _e"> </span>lo<span class="_ _c"></span>op<span class="_ _7"> </span>safe?</div><div class="t m0 xf he yda ff5 fs8 fc7 sc0 ls0 ws0">void<span class="_ _f"> </span><span class="ffb fc4">f<span class="fc0">(</span></span>int<span class="_ _f"> </span><span class="ffb fc0">size)<span class="_ _a"> </span>{</span></div><div class="t m0 x7 he ydb ff5 fs8 fcb sc0 ls0 ws0">for<span class="_ _f"> </span><span class="ffb fc0">(</span><span class="fc7">int<span class="_ _f"> </span><span class
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<div id="pf1b" class="pf w0 h0" data-page-no="1b"><div class="pc pc1b w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,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"/><div class="t m0 x5 h7 y7 ff1 fs3 fc1 sc0 ls0 ws0">Overflo<span class="_ _5"></span>w<span class="_ _8"> </span>/<span class="_ _f"> </span>Underflo<span class="_ _5"></span>w</div><div class="t m0 x1 hb ye3 ff4 fs7 fc0 sc0 ls0 ws0">Detecting<span class="_ _e"> </span>wrapa<span class="_ _5"></span>round<span class="_ _e"> </span>fo<span class="_ _5"></span>r<span class="_ _e"> </span>unsigned<span class="_ _e"> </span>integral<span class="_ _e"> </span>types<span class="_ _e"> </span>is<span class="_ _e"> </span><span class="ff1">not<span class="_ _7"> </span>trivial</span></div><div class="t m0 xf he ye4 ffe fs8 fc9 sc0 ls0 ws0">//<span class="_ _f"> </span>some<span class="_ _f"> </span>examples</div><div class="t m0 xf he ye5 ff5 fs8 fc7 sc0 ls0 ws0">bool<span class="_ _f"> </span><span class="ffb fc4">is_add_overflow<span class="fc0">(</s
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<div id="pf1c" class="pf w0 h0" data-page-no="1c"><div class="pc pc1c w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,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"/><div class="t m0 xa h2 yee ff1 fs0 fc0 sc0 ls0 ws0">Floating-p<span class="_ _0"></span>oint<span class="_ _1"> </span>T<span class="_ _10"></span>yp<span class="_ _0"></span>es</div><div class="t m0 xa h2 yef ff1 fs0 fc0 sc0 ls0 ws0">and<span class="_ _1"> </span>Arithmetic</div><a class="l" href="#pf1c" data-dest-detail='[28,"XYZ",27.346,256.118,null]'><div class="d m1" style="border-style:none;position:absolute;left:158.662500px;bottom:224.427000px;width:241.993000px;height:24.025000px;background-color:rgba(255,255,255,0.000001);"></div></a><a class="l" href="#pf1c" data-dest-detail='[28,"XYZ",27.346,256.118,null]'><div class="d m1" style="border-style:none;position:absolute;left:158.662500px;bottom:180.099000px;width:172.196000px;height:19.206000px;background-color:rgba(255,255,255,0.000001);"></div></a></div><div class="pi" data-data='{"ctm":[1.500000,0.000000,0.000000,1.500000,0.000000,0.000000]}'></div></div>
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<div id="pf1d" class="pf w0 h0" data-page-no="1d"><div class="pc pc1d w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,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"/><div class="t m0 x5 h7 y7 ff1 fs3 fc1 sc0 ls0 ws0">IEEE<span class="_ _8"> </span>Floating-Point<span class="_ _8"> </span>Standa<span class="_ _5"></span>rd</div><div class="t m0 x1 hb y7d ff1 fs7 fc0 sc0 ls0 ws0">IEEE754<span class="_ _e"> </span><span class="ff4">is<span class="_ _e"> </span>the<span class="_ _e"> </span>technical<span class="_ _e"> </span>standa<span class="_ _5"></span>rd<span class="_ _e"> </span>fo<span class="_ _5"></span>r<span class="_ _e"> </span>floating-p<span class="_ _c"></span>oint<span class="_ _e"> </span>a<span class="_ _5"></span>rithmetic</span></div><div class="t m0 x1 hb yf0 ff4 fs7 fc0 sc0 ls0 ws0">The<span class="_ _e"> </span>standa<span class="_ _5"></span>rd<span class="_ _e"> </span>defines<span class="_ _e"> </span>the<span class="_ _e"> </span>bina<span class="_ _5"></span>ry<span class="_ _e"> </span>format,<span class="_ _d"> </span>op<span class="_ _c"></span>erations<spa
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<div id="pf1e" class="pf w0 h0" data-page-no="1e"><div class="pc pc1e w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,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"/><div class="t m0 x5 h7 y7 ff1 fs3 fc1 sc0 ls0 ws0">32/64-bit<span class="_ _8"> </span>Floating-Point</div><div class="t m0 x1 hb yfa ffd fs7 fc0 sc0 ls0 ws0">•<span class="_ _e"> </span><span class="ff1">IEEE754<span class="_ _7"> </span>Single-precision<span class="_ _d"> </span><span class="ff4">(32-bit)<span class="_ _21"> </span><span class="ff9">float</span></span></span></div><div class="t m0 x13 hb yfb ff1 fs7 fc0 sc0 ls0 ws0">Sign</div><div class="t m0 x33 h16 yfc ff9 fs7 fc0 sc0 ls0 ws0">1-bit</div><div class="t m0 x34 hb yfb ff1 fs7 fc0 sc0 ls0 ws0">Exp<span class="_ _c"></span>onent<span class="_ _d"> </span><span class="ff4">(or<span class="_ _d"> </span>base)</span></div><div class="t m0 x35 h16 yfc ff9 fs7 fc0 sc0 ls0 ws0">8-bit</div><div class="t m0 x36 hb yfb ff1 fs7
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<div id="pf1f" class="pf w0 h0" data-page-no="1f"><div class="pc pc1f w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,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"/><div class="t m0 x5 h7 y7 ff1 fs3 fc1 sc0 ls0 ws0">128/256-bit<span class="_ _8"> </span>Floating-Point</div><div class="t m0 x1 hb y100 ffd fs7 fc0 sc0 ls0 ws0">•<span class="_ _e"> </span><span class="ff1">IEEE754<span class="_ _7"> </span>Quad-Precision<span class="_ _e"> </span><span class="ff4">(128-bit)<span class="_ _21"> </span><span class="ff9">std::float128<span class="_ _21"> </span></span><span class="fc6">C++23</span></span></span></div><div class="t m0 x13 hb y101 ff1 fs7 fc0 sc0 ls0 ws0">Sign</div><div class="t m0 x33 h16 y102 ff9 fs7 fc0 sc0 ls0 ws0">1-bit</div><div class="t m0 x34 hb y101 ff1 fs7 fc0 sc0 ls0 ws0">Exp<span class="_ _c"></span>onent<span class="_ _d"> </span><span class="ff4">(or<span class="_ _d"> </span>base)</span></div><div class="t m0 x38 h16 y102 ff9 fs7 fc0 sc0 ls0 ws0">15-
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<div id="pf20" class="pf w0 h0" data-page-no="20"><div class="pc pc20 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA4wAAAH/CAIAAACTgcSzAAAACXBIWXMAABYlAAAWJQFJUiTwAAAJFElEQVR42u3ZIU4cYRjH4fmaeVM1qceRYsoFmqaahAOsQfQCXKQ3QHGDbtIzNKnoCVCrMSgyAnhJ2LoVFSUDZHmXeR79ic1/xfzmm/bx89cOAADKWP35/c4KAABUI1IBABCpAAAgUgEAEKkAACBSAQAQqQAAIFIBABCpAAAgUgEAQKQCACBSAQBApAIAIFIBAECkAgAgUgEAQKQCACBSAQBApAIAgEgFAECkAgCASAUAQKQCAIBIBQBApAIAgEgFAACRCgCASAUAAJEKAIBIBQAAkQoAgEgFAACRCgCASAUAAJEKAAAiFQAAkQoAACIVAACRCgAAIhUAAJEKAAAiFQAARCoAACIVAABEKgAAIhUAAEQqAAAiFQAARCoAACIVAABEKgAAiFQAAEQqAACIVAAARCoAAIhUAABEKgAAiFQAANhomWkFAADqiAg3qQAAlCNSAQAQqQAAIFIBABCpAAAgUgEAEKkAACBSAQAQqQAAIFIBAECkAgAgUgEAQKQCACBSAQBApAIAIFIBAECkAgAgUgEAQKQCAIBIBQBApAIAgEgFAECkAgCASAUAQKQCAIBIBQAAkQoAgEgFAACRCgCASAUAAJEKAIBIBQAAkQoAgEgFAACRCgAAIhUAAJEKAAAiFQAAkQoAACIVAACRCgAAIhUAAEQqAAAiFQAARCoAACIVAABEKgAAIhUAAEQqAAAiFQAARCoAAIhUAABEKgAAiFQAAEQqAACIVAAARCoAALye3gRAceM4GuFtG4bBCMA/3KQCACBSAQBApAIAIFIBAECkAgAgUgEAQKQCACBSAQBApAIAgEgFAECkAgCASAUAQKQCAIBIBQBApAIAgEgFAECkAgCASAUAAJEKAIBIBQAAkQoAgEgFAACRCgCASAUAAJEKAAAiFQAAkQoAACIVAACRCgAAL6plphUAAKgjItykAgBQjkgFAECkAgCASAUAQKQCAIBIBQBApAIAgEgFAECkAgCASAUAAJEKAEB1vQnm7GF5ZoRHXuMWp5POR7c0GjXdd4tJ51cXl0aDjYPDPSNs+xFsAgAARCoAAIhUAABEKgAAiFQAAEQqAACIVAAARCoAAIhUAAAQqQAAiFQAABCpAACIVAAAEKkAAIhUAAAQqQAAiFQAABCpAAAgUgEAEKkAACBSAQAQqQAAIFIBABCpAAAgUgEAQKQCACBSAQBApAIAIFIBAECkAgAgUgEAQKQCACBSAQBApAIAgEgFAECkAgCASAUAQKQCAIBIBQBApAIAgEgFAACRCgCASAUAAJEKAIBIBQAAkQoAgEgFAACRCgCASAUAAJEKAAAiFQAAkQoAACIVAACRCgAAIhUAAJEKAAAiFQAARCoAACIVAABEKgAAIhUAAEQqAAAiFQAARCoAACIVAABEKgAAiFQAAEQqAACIVAAARCoAAIhUAABEKgAAiFQAABCpAACIVAAAEKkAAIhUAAAQqQAAiFQAABCpAADMVMtMKwAAUEdEuEkFAKAckQoAgEgFAACRCgCASAUAAJEKAIBIBQAAkQoAgEgFAACRCgAAIhUAAJEKAAAiFQAAkQoAACIVAACRCgAAIhUAAJEKAAAiFQAARCoAACIVAABEKgAAIhUAAEQqAAAiFQAARCoAAIhUAABEKgAAiFQAAEQqAACIVAAARCoAAIhUAABEKgAAiFQAABCpAACIVAAAEKkAAIhUAAAQqQAAiFQAABCpAAAgUgEAEKkAACBSAQAQqQAAIFIBABCpAAAgUgEAEKkAACBSAQBApAIAIFIBAECkAgAgUgEAQKQCADAjvQmALRvH0Qhv2zAMRgCeyU0qAAAiFQAARCoAACIVAABEKgAAIhUAAEQqAAAiFQAARCoAAIhUAABEKgAAiFQAAEQqAACIVAAARCoAAIhUAABEKgAAiFQAABCpAACIVAAAEKkAAIhUAAAQqQAAiFQAAHhdLTOtAABAHRHhJhUAgHJEKgAAIhUAAEQqAAAiFQAARCoAACIVAABEKgAAIhUAAEQqAACIVAAARCoAAEzUm2DOHpZnRnjkNW5xOul8dEujUdN9t5h0fnVxaTTYODjcM8K2H8EmAABApAIAgEgFAECkAgCASAUAQKQCAIBIBQBApAIAgEgFAACRCgCASAUAAJEKAIBIBQAAkQoAgEgFAACRCgCASAUAAJEKAAAiFQAAkQoAACIVAACRCgAAIhUAAJEKAAAiFQAARCoAACIVAABEKgAAIhUAAEQqAAAiFQAARCoAACIVAABEKgAAiFQAAEQqAACIVAAARCoAAIhUAABEKgAAiFQAABCpAACIVAAAEKkAAIhUAAAQqQAAiFQAABCpAACIVAAAEKkAACBSAQAQqQAAIFIBABCpAAAgUgEAEKkAACBSAQBApAIAIFIBAECkAgAgUgEAQKQCACBSAQBApAIAIFIBAECkAgCASAUAQKQCAIBIBQBApAIAgEgFAECkAgCASAUAAJEKAIBIBQAAkQoAgEgFAACRCgCASAUAAJEKAMBMtcy0AgAAdUSEm1QAAMoRqQAAiFQAABCpAACIVAAAEKkAAIhUAAAQqQAAiFQAABCpAAAgUgEAEKkAACBSAQAQqQAAIFIBABCpAAAgUgEAEKkAACBSAQBApAIAIFIBAECkAgAgUgEAQKQCACBSAQBApAIAgEgFAECkAgCASAUAQKQCAIBIBQBApAIAgEgFAECkAgCASAUAAJEKAIBIBQAAkQoAgEgFAACRCgCASAUAAJEKAAAiFQAAkQoAACIVAACRCgAAIhUAAJEKAAAiFQAAkQoAACIVAABEKgAAIhUAAEQqAAAiFQAARCoAACIVAABEKgAAiFQAAEQqAACIVAAAdle/Kz/05vb2+OSbPwx2y6+fP4wAwBO0zLQCAAB1RITP/QAAlCNSAQAQqQAAIFIBABCpAAAgUgEAEKkAACBSAQAQqQAAIFIBAECkAgAgUgEAQKQCACBSAQBApAIAIFIBAECkAgAgUgEAQKQCAIBIBQBApAIAgEgFAECkAgCASAUAQKQCAIBIBQAAkQoAgEgFAACRCgDAbuuvv+9bAdimq6NzIwDwH5++HLf24f36+q7r1uu1QQAAKOEvvgU++jkuvgoAAAAASUVORK5CYII="/><div class="t m0 x5 h7 y7 ff1 fs3 fc1 sc0 ls0 ws0">16-bit<span class="_ _8"> </span>Floating-Point</div><div class="t m0 x1 hb y106 ffd fs7 fc0 sc0 ls0 ws0">•<span class="_ _e"> </span><span class="ff1">IEEE754<span class="_ _7"> </span>16-bit<span class="_ _7"> </span>Floating-p<span class="_ _c"></span>oint<span class="_ _e"> </span><span class="ff4">(<span class="_ _12"> </span><span class="ff9">std::binary16<span class="_ _12"> </span></span>)<span class="_ _e"> </span><span class="fc6">C++23<span class="_ _e"> </span></span><span class="ffc">→<span class="_ _e"> </span></span>GPU,<span class="_ _e"> </span>Arm7</span></span></div><div class="t m0 x13 hb y107 ff1 fs7 fc0 sc0 ls0 ws0">Sign</div><div class="t m0 x33 h16 y108 ff9 fs7
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<div id="pf21" class="pf w0 h0" data-page-no="21"><div class="pc pc21 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,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"/><div class="t m0 x5 h7 y7 ff1 fs3 fc1 sc0 ls0 ws0">8-bit<span class="_ _8"> </span>Floating-Point<span class="_ _8"> </span>(Non-Standa<span class="_ _5"></span>rdized<span class="_ _8"> </span>in<span class="_ _8"> </span>C++/IEEE)</div><div class="t m0 x1 hb y10d ffd fs7 fc0 sc0 ls0 ws0">•<span class="_ _21"> </span><span class="ff9">E4M3</span></div><div class="t m0 x13 hb y10e ff1 fs7 fc0 sc0 ls0 ws0">Sign</div><div class="t m0 x33 h16 y10f ff9 fs7 fc0 sc0 ls0 ws0">1-bit</div><div class="t m0 x3a hb y10e ff1 fs7 fc0 sc0 ls0 ws0">Exp<span class="_ _c"></span>onent</div><div class="t m0 x35 h16 y10f ff9 fs7 fc0 sc0 ls0 ws0">4-bit</div><div class="t m0 x3b hb y10e ff1 fs7 fc0 sc0 ls0 ws0">Mantissa</div><div class="t m0 x3c h16 y10f
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<div id="pf22" class="pf w0 h0" data-page-no="22"><div class="pc pc22 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,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"/><div class="t m0 x5 h7 y7 ff1 fs3 fc1 sc0 ls0 ws0">Other<span class="_ _8"> </span>Real<span class="_ _f"> </span>V<span class="_ _5"></span>alue<span class="_ _8"> </span>Rep<span class="_ _5"></span>resentations<span class="_ _8"> </span>(Non-standardized<span class="_ _8"> </span>in<span class="_ _8"> </span>C++/IEEE)<span class="_ _3b"> </span>1/2</div><div class="t m0 xb hb y115 ffd fs7 fc0 sc0 ls0 ws0">•<span class="_ _4"> </span><span class="ff1">T<span class="_ _6"></span>enso<span class="_ _5"></span>rFloat-32<span class="_ _7"> </span>(TF32)<span class="_ _e"> </span><span class="ff4">Sp<span class="_ _c"></span>ecialized<span class="_ _e"> </span>floating-p<span class="_ _c"></span>oint<span class="_ _d"> </span>format<span class="_ _d"> </span>for<span class="_ _d"> </span>deep<span class="_ _e"> </span>learning</span></span></div><div class="t m0 x7 hb y116 ff4 fs7 fc0 sc0 ls0 ws0">applications</div><div class="t m0 xb
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<div id="pf23" class="pf w0 h0" data-page-no="23"><div class="pc pc23 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,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"/><div class="t m0 x5 h7 y7 ff1 fs3 fc1 sc0 ls0 ws0">Other<span class="_ _8"> </span>Real<span class="_ _f"> </span>V<span class="_ _5"></span>alue<span class="_ _8"> </span>Rep<span class="_ _5"></span>resentations<span class="_ _8"> </span>(Non-standardized<span class="_ _8"> </span>in<span class="_ _8"> </span>C++/IEEE)<span class="_ _3b"> </span>2/2</div><div class="t m0 xb hb y115 ffd fs7 fc0 sc0 ls0 ws0">•<span class="_ _4"> </span><span class="ff1">Microscaling<span class="_ _7"> </span>Fo<span class="_ _5"></span>rmats<span class="_ _e"> </span>(MX)<span class="_ _e"> </span><span class="ff4">Sp<span class="_ _c"></span>ecification<span class="_ _e"> </span>fo<span class="_ _5"></span>r<span class="_ _e"> </span>low-p<span class="_ _5"></span>recision<span class="_ _d"> </span>floating-p<span class="_ _c"></span>oint</span></span></div><div class="t m0 x7 hb y116 ff4 fs7 fc0 sc0 ls0 ws0">fo<span class="_ _5"></span>rmats<span
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<div id="pf24" class="pf w0 h0" data-page-no="24"><div class="pc pc24 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,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"/><div class="t m0 x5 h7 y7 ff1 fs3 fc1 sc0 ls0 ws0">Floating-p<span class="_ _c"></span>oint<span class="_ _8"> </span>Rep<span class="_ _5"></span>resentation<span class="_ _3d"> </span>1/2</div><div class="t m0 x1 hb y7d ff1 fs7 fc0 sc0 ls0 ws0">Floating-p<span class="_ _c"></span>oint<span class="_ _7"> </span>numb<span class="_ _c"></span>er<span class="ff4">:</span></div><div class="t m0 xb hb y121 ffd fs7 fc0 sc0 ls0 ws0">•<span class="_ _4"> </span><span class="ff8">Radix<span class="_ _f"> </span><span class="ff4">(or<span class="_ _d"> </span>base):<span class="_ _a"> </span><span class="ff1a">β</span></span></span></div><div class="t m0 xb hb y7f ffd fs7 fc0 sc0 ls0 ws0">•<span class="_ _4"> </span><span class="ff8">Precision<span class="_ _e"> </span><span class="ff4">(or<span class="_ _d"> </span>digits):<span class="_ _a"> </span></span>p</span></div><div class="t m0 xb hb y122 ffd fs7 fc0 sc0 ls0 ws0">•<span class="_ _4"> <
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<div id="pf25" class="pf w0 h0" data-page-no="25"><div class="pc pc25 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,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"/><div class="t m0 x5 h7 y7 ff1 fs3 fc1 sc0 ls0 ws0">Floating-p<span class="_ _c"></span>oint<span class="_ _8"> </span>Rep<span class="_ _5"></span>resentation<span class="_ _3d"> </span>2/2</div><div class="t m0 xf hb y4a ff1 fs7 fc1 sc0 ls0 ws0">Exp<span class="_ _c"></span>onent<span class="_ _7"> </span>Bias</div><div class="t m0 xf hb y131 ff4 fs7 fc0 sc0 ls0 ws0">In<span class="_ _d"> </span>IEEE754<span class="_ _e"> </span>floating<span class="_ _d"> </span>p<span class="_ _c"></span>oint<span class="_ _d"> </span>numb<span class="_ _c"></span>ers,<span class="_ _e"> </span>the<span class="_ _d"> </span>exp<span class="_ _c"></span>onent<span class="_ _d"> </span>value<span class="_ _e"> </span>is<span class="_
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<div id="pf26" class="pf w0 h0" data-page-no="26"><div class="pc pc26 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,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"/><div class="t m0 x5 h7 y7 ff1 fs3 fc1 sc0 ls0 ws0">Floating-p<span class="_ _c"></span>oint<span class="_ _8"> </span>-<span class="_ _8"> </span>Normal/Deno<span class="_ _5"></span>rmal<span class="_ _43"> </span>1/2</div><div class="t m0 xf hb y142 ff1 fs7 fc1 sc0 ls0 ws0">No<span class="_ _5"></span>rmal<span class="_ _7"> </span>numb<span class="_ _c"></span>er</div><div class="t m0 xf hb y143 ff4 fs7 fc0 sc0 ls0 ws0">A<span class="_ _e"> </span><span class="ff1">no<span class="_ _5"></span>rmal<span class="_ _e"> </span><span class="ff4">numb<span class="_ _c"></span>er<span class="_ _d"> </span>is<span class="_ _e"> </span>a<span class="_ _e"> </span>floating<span class="_ _e"> </span>p<span class="_ _c"></span>oint<span class="_ _e"> </span>value<span class="_ _e"> </span>that<span class="_ _e"> </spa
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<div id="pf27" class="pf w0 h0" data-page-no="27"><div class="pc pc27 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,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<div id="pf28" class="pf w0 h0" data-page-no="28"><div class="pc pc28 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,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"/><div class="t m0 x5 h7 y7 ff1 fs3 fc1 sc0 ls0 ws0">Infinit<span class="_ _5"></span>y<span class="_ _46"> </span>1/2</div><div class="t m0 xf hb y14d ff1 fs7 fc1 sc0 ls0 ws0">Infinit<span class="_ _5"></span>y</div><div class="t m0 xf hb y14e ff4 fs7 fc0 sc0 ls0 ws0">In<span class="_ _e"> </span>the<span class="_ _e"> </span>IEEE754<span class="_ _e"> </span>standa<span class="_ _5"></span>rd,<span class="_ _e"> </span><span class="ff5">inf<span class="_ _e"> </span></span>(infinit<span class="_ _5"></span>y<span class="_ _e"> </span>value)<span class="_ _e"> </span>is<span class="_ _e"> </span>a<span class="_ _e"> </span>numeric<span class="_ _e"> </span>data<span class="_ _e"> </span>type<span class="_ _e"> </span>value<span class="_ _e"> </span>that</div><div class
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<div id="pf29" class="pf w0 h0" data-page-no="29"><div class="pc pc29 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,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"/><div class="t m0 x5 h7 y7 ff1 fs3 fc1 sc0 ls0 ws0">Infinit<span class="_ _5"></span>y<span class="_ _46"> </span>2/2</div><div class="t m0 xf he y158 ffb fs8 fc0 sc0 ls0 ws0">cout<span class="_ _f"> </span><span class="fc8"><<<span class="_ _f"> </span>0<span class="_ _a"> </span>/<span class="_ _f"> </span>0</span>;<span class="_ _2e"> </span><span class="ffe fc9">//<span class="_ _f"> </span>undefined<span class="_ _f"> </span>behavior</span></div><div class="t m0 xf he y159 ffb fs8 fc0 sc0 ls0 ws0">cout<span class="_ _f"> </span><span class="fc8"><<<span class="_ _f"> </span>0.0<span class="_ _a"> </span>/<span class="_ _f"> </span>0.0</span>;<span class="_ _2d"> </span><span class="ffe fc9">//<span class="_ _f"> </span>print<span class="_ _a"> </span>"nan"</span></div><div class="t m0 xf he y15a ffb fs8 fc0 sc0 ls0 ws0">cout<span class="_ _f"> </span><span class="fc8"><<<span class="_ _f"> </span>5.0<span class="_
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<div id="pf2a" class="pf w0 h0" data-page-no="2a"><div class="pc pc2a w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,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"/><div class="t m0 x5 h7 y7 ff1 fs3 fc1 sc0 ls0 ws0">Not<span class="_ _8"> </span>a<span class="_ _f"> </span>Numb<span class="_ _c"></span>er<span class="_ _8"> </span>(NaN)</div><div class="t m0 xf hb y14d ff1 fs7 fc1 sc0 ls0 ws0">NaN</div><div class="t m0 xf hb y14e ff4 fs7 fc0 sc0 ls0 ws0">In<span class="_ _e"> </span>the<span class="_ _e"> </span>IEEE754<span class="_ _e"> </span>standa<span class="_ _5"></span>rd,<span class="_ _e"> </span><span class="ff5">NaN<span class="_ _e"> </span></span>(not<span class="_ _e"> </span>a<span class="_ _e"> </span>numb<span class="_ _c"></span>er)<span class="_ _d"> </span>is<span class="_ _e"> </span>a<span class="_ _e"> </span>numeric<span class="_ _7"> </span>data<span class="_ _e"> </span>t<span class="_ _5"></span>yp<span class="_ _c"></span>e<span class="_ _d"> </span>value</div><div class="t m0 xf hb
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<div id="pf2b" class="pf w0 h0" data-page-no="2b"><div class="pc pc2b w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,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"/><div class="t m0 x5 h7 y7 ff1 fs3 fc1 sc0 ls0 ws0">Machine<span class="_ _8"> </span>Epsilon</div><div class="t m0 xf hb y16e ff1 fs7 fc1 sc0 ls0 ws0">Machine<span class="_ _7"> </span>epsilon</div><div class="t m0 xf hb y16f ff1 fs7 fc0 sc0 ls0 ws0">Machine<span class="_ _7"> </span>epsilon<span class="_ _12"> </span><span class="ff1a">ε</span></div><div class="t m0 x56 hb y170 ff1a fs7 fc0 sc0 ls0 ws0">ε</div><div class="t m0 x56 hb y16f ff1a fs7 fc0 sc0 ls0 ws0">ε<span class="_ _e"> </span><span class="ff4">(o<span class="_ _5"></span>r<span class="_ _e"> </span><span class="ff8">machine<span class="_ _e"> </span>accuracy<span class="_ _49"></span></span>)<span class="_ _e"> </span>is<span class="_ _e"> </span>defined<span class="_ _e"> </span>to<span class="_ _e"> </span>b<span class="_ _c"></span>e<span class="_ _e"> </span>the<span class="_ _e"> </span>smallest<span class="_ _e"> </span>numb<span class
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<div id="pf2c" class="pf w0 h0" data-page-no="2c"><div class="pc pc2c w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,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"/><div class="t m0 x5 h7 y7 ff1 fs3 fc1 sc0 ls0 ws0">Units<span class="_ _8"> </span>at<span class="_ _f"> </span>the<span class="_ _8"> </span>Last<span class="_ _8"> </span>Place<span class="_ _f"> </span>(<span class="ff5">ULP</span>)</div><div class="t m0 xf hb y178 ff1 fs7 fc1 sc0 ls0 ws0">ULP</div><div class="t m0 xf hb y179 ff1 fs7 fc0 sc0 ls0 ws0">Units<span class="_ _7"> </span>at<span class="_ _7"> </span>the<span class="_ _8"> </span>Last<span class="_ _7"> </span>Place<span class="_ _e"> </span><span class="ff4">is<span class="_ _e"> </span>the<span class="_ _e"> </span>gap<span class="_ _e"> </span>b<span class="_ _c"></span>et<span class="_ _5"></span>w<span class="_ _5"></span>een<span class="_ _e"> </span>consecutive<span class="_ _e"> </span>floating-p<span class="_ _c"></span>oint<span class="_ _d"> </span>numb<span class="_ _c"></span>ers</span></
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<div id="pf2d" class="pf w0 h0" data-page-no="2d"><div class="pc pc2d w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,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"/><div class="t m0 x5 h7 y7 ff1 fs3 fc1 sc0 ls0 ws0">Floating-P<span class="_ _5"></span>oint<span class="_ _8"> </span>Represent<span class="_ _5"></span>ation<span class="_ _8"> </span>of<span class="_ _f"> </span>a<span class="_ _8"> </span>Real<span class="_ _f"> </span>Numb<span class="_ _c"></span>er</div><div class="t m0 x1 hb y18a ff4 fs7 fc0 sc0 ls0 ws0">The<span class="_ _e"> </span>machine<span class="_ _e"> </span>floating-p<span class="_ _c"></span>oint<span class="_ _d"> </span>representation<span class="_ _d"> </span><span class="ff1">fl(<span class="ff8">x<span class="_ _3c"></span></span>)<span class="_ _e"> </span></span>of<span class="_ _e"> </span>a<span class="_ _e"> </span><span class="ff8">real<span class="_ _e"> </span>numb<span class="_ _c"></span>er<span class="_ _f"> </span>x<span class="_ _a"> </span></span>is<span class="_ _d"> </span>expressed
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<div id="pf2e" class="pf w0 h0" data-page-no="2e"><div class="pc pc2e w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,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"/><div class="t m0 x5 h7 y7 ff1 fs3 fc1 sc0 ls0 ws0">Floating-p<span class="_ _c"></span>oint<span class="_ _8"> </span>-<span class="_ _8"> </span>Cheatsheet<span class="_ _4a"> </span>1/3</div><div class="t m0 xd h6 y199 ffd fs4 fc0 sc0 ls0 ws0">•<span class="_ _4"> </span><span class="ff9">NaN<span class="_ _d"> </span><span class="ff4">(mantissa<span class="_ _d"> </span><span class="ffc"></span>=<span class="_ _25"> </span>0)</span></span></div><div class="t m0 x56 hc y19a ff1f fs4 fc0 sc0 ls0 ws0">∗<span class="_ _4b"> </span><span class="ff9">11111111<span class="_ _1e"> </span>***********************</span></div><div class="t m0 xd h6 y19b
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<div id="pf2f" class="pf w0 h0" data-page-no="2f"><div class="pc pc2f w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,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"/><div class="t m0 x5 h7 y7 ff1 fs3 fc1 sc0 ls0 ws0">Floating-p<span class="_ _c"></span>oint<span class="_ _8"> </span>-<span class="_ _8"> </span>Cheatsheet<span class="_ _4a"> </span>2/3</div><div class="t m0 x6d hf y1a8 ff5 fs7 fc0 sc0 ls0 ws0">E4M3<span class="_ _4c"> </span>E5M2<span class="_ _4c"> </span>half</div><div class="t m0 x6f hd y1a9 ff1 fs8 fc0 sc0 ls0 ws0">Exp<span class="_ _c"></span>onent<span class="_ _4d"> </span><span class="ffa">4<span class="_ _12"> </span>[0*-14]<span class="_ _12"> </span>(no<span class="_ _12"> </span>inf<span class="_ _0"></span>)<span class="_ _4e"> </span>5-bit<span class="_ _12"> </span>[0*-30]</span></div><div class="t m0 x6f hd y1aa ff1 fs8 fc0 sc0 ls0 ws0">Bias<span class="_ _4f"> </span><span class="ffa">7<span class="_ _50"> </span>15<
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<div id="pf30" class="pf w0 h0" data-page-no="30"><div class="pc pc30 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA4wAAAH/CAIAAACTgcSzAAAACXBIWXMAABYlAAAWJQFJUiTwAAAI6klEQVR42u3aMU7DQBBA0RjtCmkaDkGdmoIqUu6dIhTcIA2XoFmJlSPTIWitWJqw791gZpqvtafnl9cdAACk8fH+9mALAABkI1IBABCpAAAgUgEAEKkAACBSAQAQqQAAIFIBABCpAAAgUgEAQKQCACBSAQBApAIAIFIBAECkAgAgUgEAQKQCACBSAQBApAIAgEgFAECkAgCASAUAQKQCAIBIBQBApAIAgEgFAACRCgCASAUAAJEKAIBIBQAAkQoAgEgFAACRCgCASAUAAJEKAAAiFQAAkQoAACIVAACRCgAAIhUAAJEKAAAiFQAARCoAACIVAABEKgAAIhUAAEQqAAAiFQAARCoAACIVAABEKgAAiFQAAEQqAACIVAAARCoAAIhUAABEKgAAiFQAAPgx9d5tAQCAPGqtXlIBAEhHpAIAIFIBAECkAgAgUgEAQKQCACBSAQBApAIAIFIBAECkAgCASAUAQKQCAIBIBQBApAIAgEgFAECkAgCASAUAQKQCAIBIBQAAkQoAgEgFAACRCgDAP1PGHHuer/vD0fkBgO1czidLWG3qvdsCAAB51Fp97gcAIB2RCgCASAUAAJEKAIBIBQAAkQoAgEgFAACRCgCASAUAAJEKAAAiFQAAkQoAACIVAACRCgAAIhUAAJEKAAAiFQAAkQoAACIVAABEKgAAIhUAAEQqAAAiFQAARCoAACIVAABEKgAAiFQAAEQqAACIVAAARCoAAIhUAABEKgAAiFQAAEQqAACIVAAAEKkAAIhUAAAQqQAAiFQAABCpAACIVAAAEKkAACBSAQAQqQAAIFIBABCpAAAgUgEAEKkAACBSAQAQqQAAIFIBAECkAgBwR8qYY8/zdX84Oj8AsJ3L+WQJq029d1sAACCPWqvP/QAApCNSAQAQqQAAIFIBABCpAAAgUgEA+HfKsJO31pwfANhORFjCal5SAQAQqQAAIFIBABCpAAAgUgEAEKkAACBSAQAQqQAAIFIBAECkAgAgUgEAQKQCACBSAQBApAIAIFIBAECkAgAgUgEAQKQCAIBIBQBApAIAgEgFAECkAgCASAUAQKQCAIBIBQAAkQoAgEgFAACRCgCASAUAAJEKAIBIBQAAkQoAgEgFAACRCgAAIhUAAJEKAAAiFQAAkQoAACIVAACRCgAAIhUAAEQqAACZlWEnjwjnBwDIyUsqAAAiFQAARCoAACIVAABEKgAAIhUAAEQqAAAiFQAARCoAAIhUAABEKgAAiFQAAEQqAACIVAAARCoAAIhUAABEKgAAiFQAABCpAACIVAAAEKkAAIhUAAAQqQAAiFQAABCpAAAgUgEAEKkAACBSAQAQqQAAIFIBABCpAAAgUgEAEKkAACBSAQBApAIAIFIBAECkAgAgUgEAQKQCACBSAQBApAIAwC9l2Mlba84PAGwnIixhNS+pAACIVAAAEKkAAIhUAAAQqQAAiFQAABCpAACIVAAAEKkAACBSAQAQqQAAIFIBABCpAAAgUgEAEKkAACBSAQAQqQAAIFIBAECkAgAgUgEAQKQCACBSAQBApAIAIFIBAECkAgCASAUAQKQCAIBIBQBApAIAgEgFAECkAgCASAUAQKQCAIBIBQAAkQoAgEgFAACRCgCASAUAAJEKAIBIBQAAkQoAACIVAIDMyrCTR4TzAwDk5CUVAACRCgAAIhUAAJEKAAAiFQAAkQoAACIVAACRCgAAIhUAAEQqAAAiFQAARCoAACIVAABEKgAAIhUAAEQqAAAiFQAARCoAAIhUAABEKgAAiFQAAEQqAACIVAAARCoAAIhUAAAQqQAAiFQAABCpAACIVAAAEKkAAIhUAAAQqQAAiFQAABCpAAAgUgEAEKkAACBSAQAQqQAAIFIBABCpAAAgUgEAQKQCACBSAQBApAIAIFIBAOCGyrCTt9acHwDYTkRYwmpeUgEAEKkAACBSAQAQqQAAIFIBABCpAAAgUgEAEKkAACBSAQBApAIAIFIBAECkAgAgUgEAQKQCACBSAQBApAIAIFIBAECkAgCASAUAQKQCAIBIBQBApAIAgEgFAECkAgCASAUAAJEKAIBIBQAAkQoAgEgFAACRCgCASAUAAJEKAIBIBQAAkQoAACIVAACRCgAAIhUAAJEKAAAiFQAAkQoAACIVAABEKgAAIhUAAEQqAAAiFQAAbqgMO3lEOD8AQE5eUgEAEKkAACBSAQAQqQAAIFIBABCpAAAgUgEAEKkAACBSAQBApAIAIFIBAECkAgAgUgEAQKQCACBSAQBApAIAIFIBAECkAgCASAUAQKQCAIBIBQBApAIAgEgFAECkAgCASAUAAJEKAIBIBQAAkQoAgEgFAACRCgCASAUAAJEKAIBIBQAAkQoAACIVAACRCgAAIhUAAJEKAAAiFQAAkQoAACIVAABEKgAAIhUAAEQqAAAiFQAARCoAACIVAABEKgAAIhUAAEQqAACIVAAARCoAAIhUAABEKgAAiFQAAEQqAACIVAAAEKkAAIhUAAAQqQAAiFQAABCpAACIVAAAEKkAAIhUAAAQqQAAIFIBALgbZdjJW2vODwBsJyIsYTUvqQAAiFQAABCpAACIVAAAEKkAAIhUAAAQqQAAiFQAABCpAAAgUgEAEKkAACBSAQAQqQAAIFIBABCpAAAgUgEAEKkAACBSAQBApAIAIFIBAECkAgAgUgEAQKQCACBSAQBApAIAgEgFAECkAgCASAUAQKQCAIBIBQBApAIAgEgFAECkAgCASAUAAJEKAIBIBQAAkQoAgEgFAACRCgCASAUAAJEKAAAiFQAAkQoAACIVAACRCgAAN1SGnTwinB8AICcvqQAAiFQAABCpAADcnUH/SZ3n6/5wdH4AYDuX88kSVpt677YAAEAetVaf+wEASEekAgAgUgEAQKQCACBSAQBApAIAIFIBAECkAgAgUgEAQKQCAIBIBQBApAIAgEgFAECkAgCASAUAQKQCAIBIBQBApAIAgEgFAACRCgCASAUAAJEKAIBIBQAAkQoAgEgFAACRCgAAf0zT0+Py+bXbLctiGwAApPANVeQ3dX/NewAAAAAASUVORK5CYII="/><div class="t m0 x5 h7 y7 ff1 fs3 fc1 sc0 ls0 ws0">Floating-p<span class="_ _c"></span>oint<span class="_ _8"> </span>-<span class="_ _8"> </span>Cheatsheet<span class="_ _4a"> </span>3/3</div><div class="t m0 x82 hf y1c1 ff5 fs7 fc0 sc0 ls0 ws0">bfloat16<span class="_ _54"> </span>float<span class="_ _51"> </span>double</div><div class="t m0 x6f hd y1c2 ff1 fs8 fc0 sc0 ls0 ws0">Exp<span class="_ _c"></span>onent<span class="_ _55"> </span><span class="ffa">8-bit<span class="_ _12"> </span>[0*-254]<span class="_ _56"> </span>11-bit<span class="_ _12"> </span>[0*-2046]</span></div><div class="t m0 x6f hd y1c3 ff1 fs8 fc0 sc0 ls0 ws0">Bias<span class="_ _57"> </span><span class="ffa">127<span class="_ _58"> </span>1023</span></div><div class="t m0 x6f hd y1c4 ff1 fs8 fc0 sc0 ls0 ws0">Mantissa<spa
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<div id="pf31" class="pf w0 h0" data-page-no="31"><div class="pc pc31 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,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"/><div class="t m0 x5 h7 y7 ff1 fs3 fc1 sc0 ls0 ws0">Floating-p<span class="_ _c"></span>oint<span class="_ _8"> </span>-<span class="_ _8"> </span>Limits</div><div class="t m0 xf he y1da ffe fs8 fca sc0 ls0 ws0">#<span class="_ _14"> </span>include<span class="_ _28"> </span><span class="fc9"><limits></span></div><div class="t m0 xf he y1db ffe fs8 fc9 sc0 ls0 ws0">//<span class="_ _f"> </span>T:<span class="_ _f"> </span>float<span class="_ _a"> </span>or<span class="_ _f"> </span>double</div><div class="t m0 xf he y1dc ffb fs8 fc0 sc0 ls0 ws0">std<span class="fc8">::</span>numeric_limits<span class="fc8"><</span>T<span class="fc8">>::<span class="fc4">max</span></span>();<span class="_ _5a"> </span><span class="ffe fc9">//<span class="_ _f"> </span>largest<span class="_ _f"> </span>value</span></div><div class="t m0 xf he y1dd ffb fs8 fc0 sc0 ls0 ws0">std<span class="
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<div id="pf32" class="pf w0 h0" data-page-no="32"><div class="pc pc32 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,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"/><div class="t m0 x5 h7 y7 ff1 fs3 fc1 sc0 ls0 ws0">Floating-p<span class="_ _c"></span>oint<span class="_ _8"> </span>-<span class="_ _8"> </span>Useful<span class="_ _f"> </span>F<span class="_ _5"></span>unctions</div><div class="t m0 xf he y1e3 ffe fs8 fca sc0 ls0 ws0">#<span class="_ _14"> </span>include<span class="_ _28"> </span><span class="fc9"><cmath><span class="_ _28"> </span>//<span class="_ _a"> </span>C++11</span></div><div class="t m0 xf he y1e4 ff5 fs8 fc7 sc0 ls0 ws0">bool<span class="_ _f"> </span><span class="ffb fc0">std<span class="fc8">::<span class="fc4">isnan</span></span>(T<span class="_ _f"> </span>value)<span class="_ _5b"> </span><span class="ffe fc9">//<span class="_ _f"> </span>check<span class="_ _f"> </span>if<span class="_ _a"> </span>value<span class="_ _f"> </span>is<span class="_ _f"> </span>NaN</span></span></div><div class="t m0 xf he y1e5 ff5 fs8 fc7 sc0 ls0 ws0">bool<span class="_ _f"> </span><span cla
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<div id="pf33" class="pf w0 h0" data-page-no="33"><div class="pc pc33 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,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"/><div class="t m0 x5 h7 y7 ff1 fs3 fc1 sc0 ls0 ws0">Floating-p<span class="_ _c"></span>oint<span class="_ _8"> </span>Arithmetic<span class="_ _8"> </span>Prop<span class="_ _c"></span>erties<span class="_ _5c"> </span>1/2</div><div class="t m0 x1 hb y1ec ff4 fs7 fc0 sc0 ls0 ws0">Floating-p<span class="_ _c"></span>oint<span class="_ _d"> </span>op<span class="_ _c"></span>erations<span class="_ _e"> </span>are<span class="_ _d"> </span>written</div><div class="t m0 xb hb y1ed ffd fs7 fc0 sc0 ls0 ws0">•<span class="_ _4"> </span><span class="ffc">⊕<span class="_ _e"> </span><span class="ff4">addition</span></span></div><div class="t m0 xb hb y1ee ffd fs7 fc0 sc0 ls0 ws0">•<span class="_ _4"> </span><span class="ffc">⊖<span class="_ _e"> </span><span class="ff4">subtraction</span></span></div><div class="t m0 xb hb y1ef ffd fs7 fc0 sc0 ls0 ws0">•<span class="_ _4"> </span><span class="ffc">⊗<span class="_ _e"> </span><span class="ff4">multiplication</span></span></div
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<div id="pf34" class="pf w0 h0" data-page-no="34"><div class="pc pc34 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,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"/><div class="t m0 x5 h7 y7 ff1 fs3 fc1 sc0 ls0 ws0">Floating-p<span class="_ _c"></span>oint<span class="_ _8"> </span>Arithmetic<span class="_ _8"> </span>Prop<span class="_ _c"></span>erties<span class="_ _5c"> </span>2/2</div><div class="t m0 x92 hb y5d ff8 fs7 fc0 sc0 ls0 ws0">(P1)<span class="_ _18"> </span><span class="ff4">In<span class="_ _e"> </span>general,<span class="_ _e"> </span></span>a<span class="_ _12"> </span>op<span class="_ _e"> </span>b<span class="_ _e"> </span><span class="ffc"><span class="ff4">=<span class="_ _12"> </span></span></span>a<span class="_"> </span><span class="ffc">⊙<span class="_ _13"> </span></span>b</div><div class="t m0 x92 hb y1f3 ff8 fs7 fc0 sc0 ls0 ws0">(P2)<span class="_ _18"> </span><span class="ff1">Not<span class="_ _7"> </span>Reflexive<span class="_ _e"> </span></span>a<span class="_ _d"> </span><span class="ffc"><span class="ff4">=<span class="_ _12"> </span></span></span>a</div>
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<div id="pf35" class="pf w0 h0" data-page-no="35"><div class="pc pc35 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA4wAAAH/CAIAAACTgcSzAAAACXBIWXMAABYlAAAWJQFJUiTwAAAIj0lEQVR42u3YsWkDQRCG0Vtxg6JFNRhHrsAYxwJ1piZcjgMX4Q4ciY08ySkzCJTYCDOH3qtg+Tf5mPb4/DoBAEAZnx/vGysAAFCNSAUAQKQCAIBIBQBApAIAgEgFAECkAgCASAUAQKQCAIBIBQAAkQoAgEgFAACRCgCASAUAAJEKAIBIBQAAkQoAgEgFAACRCgAAIhUAAJEKAAAiFQAAkQoAACIVAACRCgAAIhUAAEQqAAAiFQAARCoAACIVAABEKgAAIhUAAEQqAAAiFQAARCoAAIhUAABEKgAAiFQAAEQqAACIVAAARCoAAIhUAAAQqQAAiFQAABCpAACIVAAAEKkAAIhUAAAQqQAAiFQAABCpAAAgUgEAEKkAACBSAQAQqQAAIFIBABCpAAAgUgEA4EfLTCsAAFBHRLikAgBQjkgFAECkAgCASAUAQKQCAIBIBQBApAIAgEgFAECkAgCASAUAAJEKAIBIBQAAkQoAgEgFAACRCgCASAUAAJEKAIBIBQAAkQoAACIVAACRCgAAIhUAAJEKAAAiFQAAkQoAACIVAABEKgAAIhUAAEQqAAAiFQAARCoAACIVAABEKgAAIhUAAEQqAACIVAAARCoAAIhUAABEKgAAiFQAAEQqAACIVAAAEKkAAIhUAAAQqQAAiFQAABCpAACIVAAA+EezCQC4aoxhhN/qvRsBbsIlFQAAkQoAACIVAACRCgAAIhUAAJEKAAAiFQAAkQoAACIVAABEKgAAIhUAAEQqAAAiFQAARCoAACIVAABEKgAAIhUAAEQqAACIVAAARCoAAIhUAABEKgAAiFQAAEQqAACIVAAAuNAy0woAANQRES6pAACUI1IBABCpAAAgUgEAEKkAACBSAQAQqQAAIFIBABCpAAAgUgEAQKQCACBSAQBApAIAsHbzit46xvBhAAB/03tf0WtdUgEAEKkAACBSAQAQqQAAIFIBABCpAAAgUgEAEKkAACBSAQBApAIAIFIBAECkAgAgUgEAQKQCACBSAQBApAIAIFIBAECkAgCASAUAQKQCAIBIBQBApAIAgEgFAECkAgCASAUAAJEKAIBIBQAAkQoAgEgFAACRCgCASAUAAJEKAIBIBQAAkQoAACIVAACRCgAAIhUAAJEKAAAiFQAAkQoAACIVAABEKgAAIhUAAEQqAAAiFQAARCoAACIVAABEKgAAIhUAAEQqAACIVAAARCoAAIhUAABEKgAAiFQAAEQqAACIVAAAEKkAAIhUAAAQqQAAiFQAABCpAACIVAAAEKkAAIhUAAAQqQAAIFIBABCpAAAgUgEAEKkAACBSAQAQqQAAIFIBAECkAgAgUgEAQKQCACBSAQBApAIAIFIBAECkAgAgUgEAQKQCAIBIBQBApAIAgEgFAECkAgCASAUAQKQCAIBIBQAAkQoAgEgFAACRCgCASAUAAJEKAIBIBQAAkQoAgEgFAACRCgAAIhUAAJEKAAAiFQAAkQoAACIVAACRCgAAIhUAAEQqAAAiFQAARCoAACIVAABEKgAAIhUAAEQqAAAiFQAARCoAAIhUAABEKgAAiFQAAEQqAACIVAAARCoAAIhUAAAQqQAAiFQAABCpAACIVAAAEKkAAIhUAAAQqQAAiFQAABCpAAAgUgEAEKkAACBSAQAQqQAAIFIBABCpAAAgUgEAEKkmAABApAIAgEgFAECkAgCASAUAQKQCAIBIBQBApAIAgEgFAACRCgCASAUAAJEKAIBIBQAAkQoAgEgFAACRCgCASAUAAJEKAAAiFQAAkQoAACIVAACRCgAAIhUAAJEKAAAiFQAARCoAACIVAABEKgAAIhUAAEQqAAAiFQAARCoAACIVAABEKgAAiFQAAEQqAACIVAAARCoAAIhUAABEKgAAiFQAABCpAACIVAAAEKkAAIhUAAAQqQAAiFQAABCpAACIVAAAEKkAACBSAQAQqQAAIFIBABCpAAAgUgEAEKkAACBSAQBApAIAIFIBAECkAgAgUgEAQKQCACBSAQBApAIAIFIBAECkAgCASAUAQKQCAIBIBQBApAIAgEgFAECkAgCASAUAAJEKAIBIBQAAkQoAgEgFAACRCgCASAUAAJEKAIBIBQAAkQoAACIVAACRCgAAIhUAAJEKAAAiFQAAkQoAACIVAABEKgAAIhUAAEQqAAAiFQAARCoAACIVAABEKgAAIhUAAEQqAACIVAAARCoAAIhUAABEKgAAiFQAAEQqAACIVAAAEKkAAIhUAAAQqQAAiFQAABCpAACIVAAAEKkAAIhUAAAQqQAAIFIBABCpAAAgUgEAEKkAACBSAQAQqQAAIFIBAECkAgAgUgEAQKQCACBSAQBApAIAIFIBAECkAgAgUgEAQKQCAIBIBQBApAIAgEgFAECkAgCASAUAQKQCAIBIBQBApAIAgEgFAACRCgCASAUAAJEKAIBIBQAAkQoAgEgFAACRCgAAIhUAAJEKAAAiFQAAkQoAACIVAACRCgAAIhUAAJEKAAAiFQAARCoAACIVAABEKgAAIhUAAEQqAAAiFQAARCoAAIhUAABEKgAAiFQAAEQqAACIVAAARCoAAIhUAABEKgAAiFQAABCpAACIVAAAEKkAAIhUAAAQqQAAiFQAABCpAAAgUgEAEKkAACBSAQAQqQAAIFIBABCpAAAgUgEAEKkAACBSAQBApAIAIFIBAECkAgAgUgEAQKQCAHA3WmZaAQCAOiLCJRUAgHJEKgAAIhUAAEQqAAAiFQAARCoAACIVAABEKgAAIhUAAEQqAACIVAAARCoAAIhUAABEKgAAiFQAAEQqAACIVAAARCoAAIhUAAAQqQAAiFQAABCpAACIVAAAEKkAAIhUAAAQqQAAIFIBABCpAAAgUgEAEKkAAHBT8+n4YAUAuENf+zcjUNPTy6G13XY5fU/TsiwGAQCghDNnZSAAh1LsVgAAAABJRU5ErkJggg=="/><div class="t m0 x5 h7 y7 ff1 fs3 fc1 sc0 ls0 ws0">Detect<span class="_ _8"> </span>Floating-p<span class="_ _c"></span>oint<span class="_ _8"> </span>Errors</div><div class="t m0 x18 h1a y1fc ff22 fs5 fc1 sc0 ls0 ws0">⋆</div><div class="t m0 x94 h7 y7 ff1 fs3 fc1 sc0 ls0 ws0">1/2</div><div class="t m0 x1 hb y7d ff4 fs7 fc6 sc0 ls0 ws0">C++11<span class="_ _e"> </span><span class="fc0">allo<span class="_ _5"></span>ws<span class="_ _e"> </span>determining<span class="_ _e"> </span>if<span class="_ _e"> </span>a<span class="_ _e"> </span>floating-p<span class="_ _c"></span>oint<span class="_ _d"> </span>exceptional<span class="_ _e"> </span>condition<span class="_ _e"> </span>has<span class="_ _e"> </span>o<span class="_ _c"></span>ccurred<span class="_ _e"> </span>by</span></div><div class="t m0 x1 hb y1fd ff4 fs7 fc0 sc0 ls0 ws0">using<span class="_ _e"> </span>floating-p<span class="_ _c"></span>oint<span
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<div id="pf36" class="pf w0 h0" data-page-no="36"><div class="pc pc36 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,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"/><div class="t m0 x5 h7 y7 ff1 fs3 fc1 sc0 ls0 ws0">Detect<span class="_ _8"> </span>Floating-p<span class="_ _c"></span>oint<span class="_ _8"> </span>Errors</div><div class="t m0 x18 h1a y1fc ff22 fs5 fc1 sc0 ls0 ws0">⋆</div><div class="t m0 x94 h7 y7 ff1 fs3 fc1 sc0 ls0 ws0">2/2</div><div class="t m0 xf h10 y20a ffe fs5 fca sc0 ls0 ws0">#include<span class="_ _4"> </span><span class="fc9"><cfenv><span class="_ _5d"> </span>//<span class="_ _8"> </span>floating<span class="_ _7"> </span>point<span class="_ _8"> </span>exceptions</span></div><div class="t m0 xf h10 y20b ffe fs5 fca sc0 ls0 ws0">#include<span class="_ _4"> </span><span class="fc9"><iostream></span></div><div class="t m0 xf h10 y20c ffe fs5 fca sc0 ls0 ws0">#pragma<span class="_ _8"> </span>STDC<span class="_ _7"> </span>FENV_ACCESS<span class="_ _8"> </span>ON<span class="_ _18"> </span><span class="fc9">//<span clas
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<div id="pf37" class="pf w0 h0" data-page-no="37"><div class="pc pc37 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,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"/><div class="t m0 xa h2 y1e ff1 fs0 fc0 sc0 ls0 ws0">Floating-p<span class="_ _0"></span>oint<span class="_ _1"> </span>Issues</div><a class="l" href="#pf37" data-dest-detail='[55,"XYZ",27.346,256.118,null]'><div class="d m1" style="border-style:none;position:absolute;left:158.662500px;bottom:198.648000px;width:236.875000px;height:24.026000px;background-color:rgba(255,255,255,0.000001);"></div></a></div><div class="pi" data-data='{"ctm":[1.500000,0.000000,0.000000,1.500000,0.000000,0.000000]}'></div></div>
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<div id="pf38" class="pf w0 h0" data-page-no="38"><div class="pc pc38 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,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<div id="pf39" class="pf w0 h0" data-page-no="39"><div class="pc pc39 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,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"/><div class="t m0 x5 h7 y7 ff1 fs3 fc1 sc0 ls0 ws0">Some<span class="_ _8"> </span>Examples...<span class="_ _61"> </span>2/4</div><div class="t m0 x1 hb y221 ff1 fs7 fc0 sc0 ls0 ws0">Integer<span class="_ _7"> </span>type<span class="_ _7"> </span>is<span class="_ _8"> </span>mo<span class="_ _5"></span>re<span class="_ _7"> </span>accurate<span class="_ _7"> </span>than<span class="_ _7"> </span>floating<span class="_ _8"> </span>t<span class="_ _5"></span>yp<span class="_ _c"></span>e<span class="_ _7"> </span>fo<span class="_ _5"></span>r<span class="_ _7"> </span>large<span class="_ _e"> </span>numb<span class="_ _c"></span>ers</div><div class="t m0 xf he y222 ffb fs8 fc0 sc0 ls0 ws0">cout<span class="_ _f"> </span><span class="fc8"><<<span class="_ _f"> </span>16777217</span>;<span class="_ _62"> </span><span class="ffe fc9">//<span class="_ _f"> </span>print<span class="_ _f"> </span>16777217</span>
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<div id="pf3a" class="pf w0 h0" data-page-no="3a"><div class="pc pc3a w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,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"/><div class="t m0 x5 h7 y7 ff1 fs3 fc1 sc0 ls0 ws0">Some<span class="_ _8"> </span>Examples...<span class="_ _61"> </span>3/4</div><div class="t m0 x1 hb y227 ff1 fs7 fc0 sc0 ls0 ws0">The<span class="_ _7"> </span>floating<span class="_ _7"> </span>p<span class="_ _c"></span>oint<span class="_ _7"> </span>precision<span class="_ _e"> </span>is<span class="_ _8"> </span>finite!</div><div class="t m0 xf he y228 ffb fs8 fc0 sc0 ls0 ws0">cout<span class="_ _f"> </span><span class="fc8"><<<span class="_ _f"> </span></span>setprecision(<span class="fc8">20</span>);</div><div class="t m0 xf he y229 ffb fs8 fc0 sc0 ls0 ws0">cout<span class="_ _f"> </span><span class="fc8"><<<span class="_ _f"> </span>3.33333333f</span>;<span class="_ _a"> </span><span class="ffe fc9">//<span class="_ _f"> </span>print<span class="_ _f"> </span><span class="
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<div id="pf3b" class="pf w0 h0" data-page-no="3b"><div class="pc pc3b w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,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"/><div class="t m0 x5 h7 y7 ff1 fs3 fc1 sc0 ls0 ws0">Some<span class="_ _8"> </span>Examples...<span class="_ _61"> </span>4/4</div><div class="t m0 x96 hb y232 ff8 fs7 fc0 sc0 ls0 ws0">“Using<span class="_ _e"> </span>a<span class="_ _e"> </span>double-p<span class="_ _5"></span>recision<span class="_ _e"> </span>floating-p<span class="_ _c"></span>oint<span class="_ _e"> </span>value,<span class="_ _e"> </span>w<span class="_ _5"></span>e<span class="_ _e"> </span>can<span class="_ _e"> </span>rep<span class="_ _5"></span>resent<span class="_ _e"> </span>easily<span class="_ _e"> </span>the</div><div class="t m0 xe hb y233 ff8 fs7 fc0 sc0 ls0 ws0">numb<span class="_ _c"></span>er<span class="_ _d"> </span>of<span class="_ _e"> </span>atoms<span class="_ _e"> </span>in<span class="_ _e"> </span>the<span class="_ _e"> </span>universe.</div><div class="t m0 x96 hb y234 ff8 fs7 fc0 sc0 ls0 ws0">If<span class="_ _8"> </span>your<span cla
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<div id="pf3c" class="pf w0 h0" data-page-no="3c"><div class="pc pc3c w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,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"/><div class="t m0 x5 h7 y7 ff1 fs3 fc1 sc0 ls0 ws0">Floating-p<span class="_ _c"></span>oint<span class="_ _8"> </span>Algo<span class="_ _5"></span>rithms</div><div class="t m0 x1 hb y7d ffd fs7 fc0 sc0 ls0 ws0">•<span class="_ _e"> </span><span class="ff5">addition<span class="_ _7"> </span><span class="ff1">algorithm<span class="_ _d"> </span><span class="ff4">(simplified):</span></span></span></div><div class="t m0 x99 hd y23d ffa fs8 fc0 sc0 ls0 ws0">(1)<span class="_ _4"> </span>Compare<span class="_ _25"> </span>the<span class="_ _12"> </span>exp<span class="_ _c"></span>onents<span class="_ _12"> </span>of<span class="_ _12"> </span>the<span class="_ _12"> </span>tw<span class="_ _5"></span>o<span class="_ _12"> </span>numbers.<span class="_ _8"> </span>Shift<span class="_ _12"> </span>the<span class="_ _12"> </span>smaller<span class="_ _12"> </span>numb<span class="_ _c"></span>er<span class="_ _12"> </span>to<span class="_ _12"> </span>the<span class="_ _12"> </span
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<div id="pf3d" class="pf w0 h0" data-page-no="3d"><div class="pc pc3d w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,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"/><div class="t m0 x5 h7 y7 ff1 fs3 fc1 sc0 ls0 ws0">Catastrophic<span class="_ _8"> </span>Cancellation<span class="_ _63"> </span>1/5</div><div class="t m0 xf hb y24a ff1 fs7 fc1 sc0 ls0 ws0">Catastrophic<span class="_ _7"> </span>Cancellation</div><div class="t m0 xf hb y24b ff1 fs7 fc0 sc0 ls0 ws0">Catastrophic<span class="_ _7"> </span>cancellation<span class="_ _e"> </span><span class="ff4">(or<span class="_ _d"> </span><span class="ff8">loss<span class="_ _e"> </span>of<span class="_ _e"> </span>significance<span class="_ _0"></span></span>)<span class="_ _e"> </span>refers<span class="_ _e"> </span>to<span class="_ _e"> </span>loss<span class="_ _e"> </span>of<span class="_ _e"> </span>relevant</span></div><div class="t m0 xf hb y24c ff4 fs7 fc0 sc0 ls0 ws0">info<span class="_ _5"></span>rmation<span class="_ _e"> </span>in<span class="_ _e"> </span>a<span class="_ _e"> </span>floating-p<span class="_ _c
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<div id="pf3e" class="pf w0 h0" data-page-no="3e"><div class="pc pc3e w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,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<div id="pf3f" class="pf w0 h0" data-page-no="3f"><div class="pc pc3f w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,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"/><div class="t m0 x5 h7 y7 ff1 fs3 fc1 sc0 ls0 ws0">Catastrophic<span class="_ _8"> </span>Cancellation<span class="_ _f"> </span><span class="fs4">(case<span class="_ _e"> </span>1)<span class="_ _65"> </span></span>3/5</div><div class="t m0 x1 h5 y255 ff3 fs3 fc0 sc0 ls0 ws0">Ho<span class="_ _5"></span>w<span class="_ _7"> </span>many<span class="_ _7"> </span>iterations<span class="_ _7"> </span>p<span class="_ _c"></span>erfo<span class="_ _5"></span>rms<span class="_ _e"> </span>the<span class="_ _7"> </span>following<span class="_ _e"> </span>co<span class="_ _c"></span>de?</div><div class="t m0 xf h16 y256 ff5 fs7 fcb sc0 ls0 ws0">while<span class="_ _18"> </span><span class="ff9 fc0">(x<span class="_ _18"> </span><span class="fc8">><span class="_ _18"> </span>0</span>)</span></div><div class="t m0 x9b h16 y257 ff9 fs7 fc0 sc0 ls0 ws0">x<span class="_ _18"> </span><span class="fc8">=<span class="_ _18"> </
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<div id="pf40" class="pf w0 h0" data-page-no="40"><div class="pc pc40 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA4wAAAH/CAIAAACTgcSzAAAACXBIWXMAABYlAAAWJQFJUiTwAAAI9klEQVR42u3ZMUpcURTH4bnhHawurkGsUqRKIcEqEEXcWDaRvViYwh3YuAOr4ULEg2HsUqRQmclkznO+rx6Gy/82P+5rxyenCwAAKOPu5ucHKwAAUI1IBQBApAIAgEgFAECkAgCASAUAQKQCAIBIBQBApAIAgEgFAACRCgCASAUAAJEKAIBIBQAAkQoAgEgFAACRCgCASAUAAJEKAAAiFQAAkQoAACIVAACRCgAAIhUAAJEKAAAiFQAARCoAACIVAABEKgAAIhUAAEQqAAAiFQAARCoAACIVAABEKgAAiFQAAEQqAACIVAAARCoAAIhUAABEKgAAiFQAABCpAACIVAAAEKkAAIhUAAAQqQAAiFQAABCpAACIVAAAEKkAACBSAQAQqQAAIFIBABCpAAAgUgEAEKkAACBSAQDgj5aZVgAAoI6I8JIKAEA5IhUAAJEKAAAiFQAAkQoAACIVAACRCgAAIhUAAJEKAAAiFQAARCoAACIVAABEKgAAIhUAAEQqAAAiFQAARCoAACIVAABEKgAAiFQAAEQqAACIVAAARCoAAIhUAABEKgAAiFQAABCpAACIVAAAEKkAAIhUAAAQqQAAiFQAABCpAACIVAAAEKkAACBSAQAQqQAAIFIBABCpAAAgUgEAEKkAACBSAQBApAIAIFIBAECkAgAgUgEAQKQCACBSAQBApAIAIFIBAECkAgCASAUAQKQCAIBIBQBApAIAgEgFAECkAgDA7kwzOusYw4UBAKyn9z6j03pJBQBApAIAgEgFAECkAgCASAUAQKQCAIBIBQBApAIAgEgFAACRCgCASAUAAJEKAIBIBQAAkQoAgEgFAACRCgCASAUAAJEKAAAiFQAAkQoAACIVAACRCgAAIhUAAJEKAAAiFQAARCoAACIVAABEKgAAIhUAAEQqAAAiFQAARCoAACIVAABEKgAAiFQAAEQqAACIVAAARCoAAIhUAABEKgAAiFQAABCpAACIVAAAEKkAAIhUAAAQqQAAiFQAABCpAACIVAAAEKkAACBSAQAQqQAAIFIBABCpAAAgUgEAEKkAACBSAQBApAIAIFIBAECkAgAgUgEAQKQCACBSAQBApAIAIFIBAECkAgCASAUAQKQCAIBIBQBApAIAgEgFAECkAgCASAUAAJEKAIBIBQCAN2qZaQUAAOqICC+pAACUI1IBABCpAAAgUgEAEKkAACBSAQAQqQAAIFIBABCpAAAgUgEAQKQCACBSAQBApAIAIFIBAECkAgAgUgEAQKQCACBSAQBApAIAgEgFAECkAgCASAUAQKQCAIBIBQBApAIAgEgFAACRCgCASAUAAJEKAIBIBQCAf2oyAftjjLH5n/TeLQkA2+YlFQAAkQoAACIVAACRCgAAIhUAAJEKAAAiFQAAkQoAACIVAABEKgAAIhUAAEQqAAAiFQAARCoAACIVAABEKgAAIhUAAEQqAACIVAAARCoAAGymZaYVAACoIyK8pAIAUI5IBQBApAIAgEgFAECkAgCASAUAQKQCAIBIBQBApAIAgEgFAACRCgCASAUAAJEKAIBIBQAAkQoAgEgFAACRCgCASAUAAJEKAAAvm+Zy0F8PD5/PL10YAMB6bq+vZnTalpnuDACAOiLC534AAMoRqQAAiFQAABCpAACIVAAAEKkAAIhUAAAQqQAAiFQAABCpAAAgUgEAEKkAACBSAQAQqQAAIFIBABCpAAAgUgEAEKkAACBSAQBApAIAIFIBAECkAgAgUgEAQKQCACBSAQBApAIAgEgFAECkAgCASAUAQKQCAIBIBQBApAIAgEgFAECkAgCASAUAAJEKAIBIBQAAkQoAgEgFAACRCgCASAUAAJEKAAAiFQAAkQoAACIVAACRCgAAIhUAAJEKAAAiFQAAkQoAACIVAABEKgAAIhUAAEQqAAAiFQAARCoAACIVAABEKgAAiFQAAEQqAACIVAAARCoAAIhUAABEKgAAiFQAAEQqAACIVAAAEKkAAIhUAAAQqQAAiFQAABCpAACIVAAA2JXJBNT39PT709dvr/7s9vrKVgDwPrTMtAIAAHVEhM/9AACUI1IBABCpAAAgUgEAEKkAACBSAQAQqQAAIFIBABCpAAAgUgEAQKQCACBSAQBApAIAIFIBAECkAgAgUgEAQKQCACBSAQBApAIAgEgFAECkAgCASAUAQKQCAIBIBQBApAIAgEgFAACRCgCASAUAAJEKAIBIBQAAkQoAgEgFAACRCgDAfptmdNYxhgsDAFhP731Gp/WSCgCASAUAAJEKAIBIBQAAkQoAgEgFAACRCgCASAUAAJEKAAAiFQAAkQoAACIVAACRCgAAIhUAAJEKAAAiFQAAkQoAACIVAABEKgAAIhUAAEQqAAAiFQAARCoAACIVAABEKgAAiFQAAEQqAACIVAAARCoAAIhUAABEKgAAiFQAAEQqAACIVAAAEKkAAIhUAAAQqQAAiFQAABCpAACIVAAAEKkAACBSAQAQqQAAIFIBABCpAAAgUgEAEKkAACBSAQAQqQAAIFIBAECkAgAgUgEAQKQCACBSAQBApAIAsEdaZloBAIA6IsJLKgAA5YhUAABEKgAAiFQAAEQqAACIVAAARCoAAIhUAABEKgAAiFQAABCpAACIVAAAEKkAAIhUAAAQqQAAiFQAABCpAACIVAAAEKkAACBSAQAQqQAAIFIBABCpAAAgUgEAEKkAACBSAQBApAIAIFIBAECkAgAgUgEAQKQCACBSAQDgv5pMwP4YY2z+J713SwLAtnlJBQBApAIAgEgFAECkAgCASAUAQKQCAIBIBQBApAIAgEgFAACRCgCASAUAAJEKAIBIBQAAkQoAgEgFAACRCgCASAUAAJEKAAAiFQAAkQoAAJtpmWkFAADqiAgvqQAAlCNSAQAQqQAAIFIBABCpAAAgUgEAEKkAACBSAQAQqQAAIFIBAECkAgAgUgEAQKQCACBSAQBApAIAIFIBAECkAgAgUgEAQKQCAIBIBQBApAIAgEgFAECkAgDAdk3L70dWAADYlfuzH0b4y8cvF60dHqyWj4vFarUyCAAAJTwDbAY9+Arjl8oAAAAASUVORK5CYII="/><div class="t m0 x5 h7 y7 ff1 fs3 fc1 sc0 ls0 ws0">Catastrophic<span class="_ _8"> </span>Cancellation<span class="_ _f"> </span><span class="fs4">(case<span class="_ _e"> </span>1)<span class="_ _65"> </span></span>4/5</div><div class="t m0 x1 hb y7d ff1 fs7 fc0 sc0 ls0 ws0">Floating-p<span class="_ _c"></span>oint<span class="_ _7"> </span>increment</div><div class="t m0 xf he y25d ff5 fs8 fc7 sc0 ls0 ws0">float<span class="_ _f"> </span><span class="ffb fc0">x<span class="_ _f"> </span><span class="fc8">=<span class="_ _a"> </span>0.0f</span>;</span></div><div class="t m0 xf he y25e ff5 fs8 fcb sc0 ls0 ws0">for<span class="_ _f"> </span><span class="ffb fc0">(</span><span class="fc7">int<span class="_ _f"> </span><span class="ffb fc0">i<span class="_ _a"> </span><span class="
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<div id="pf41" class="pf w0 h0" data-page-no="41"><div class="pc pc41 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,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"/><div class="t m0 x5 h7 y7 ff1 fs3 fc1 sc0 ls0 ws0">Catastrophic<span class="_ _8"> </span>Cancellation<span class="_ _f"> </span><span class="fs4">(case<span class="_ _e"> </span>2)<span class="_ _65"> </span></span>5/5</div><div class="t m0 x1 hb y7d ff4 fs7 fc0 sc0 ls0 ws0">Let’s<span class="_ _e"> </span>solve<span class="_ _e"> </span>a<span class="_ _e"> </span>quadratic<span class="_ _e"> </span>equation:</div><div class="t m0 x9 hb y268 ff8 fs7 fc0 sc0 ls0 ws0">x</div><div class="t m0 x9d h9 y269 ff6 fs5 fc0 sc0 ls0 ws0">1<span class="ff25">,</span>2</div><div class="t m0 x97 hb y268 ff4 fs7 fc0 sc0 ls0 ws0">=</div><div class="t m0 x9e hb y26a ffc fs7 fc0 sc0 ls0 ws0">−<span class="ff8">b<span class="_ _25"> </span></span>±</div><div class="t m0 x9f hb y26b ffc fs7 fc0 sc0 ls0 ws0">√</div><div class="t m0 xa0 hb y26a ff8 fs
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<div id="pf42" class="pf w0 h0" data-page-no="42"><div class="pc pc42 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,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"/><div class="t m0 x5 h7 y7 ff1 fs3 fc1 sc0 ls0 ws0">Floating-p<span class="_ _c"></span>oint<span class="_ _8"> </span>Compa<span class="_ _5"></span>rison<span class="_ _68"> </span>1/3</div><div class="t m0 x1 hb y278 ff1 fs7 fc0 sc0 ls0 ws0">The<span class="_ _7"> </span>problem</div><div class="t m0 xf he y279 ffb fs8 fc0 sc0 ls0 ws0">cout<span class="_ _f"> </span><span class="fc8"><<<span class="_ _f"> </span></span>(<span class="fc8">0.11f<span class="_ _a"> </span>+<span class="_ _f"> </span>0.11f<span class="_ _f"> </span><<span class="_ _f"> </span>0.22f</span>);<span class="_ _a"> </span><span class="ffe fc9">//<span class="_ _f"> </span>print<span class="_ _f"> </span>true!!</span></div><div class="t m0 xf he y27a ffb fs8 fc0 sc0 ls0 ws0">cout<span class="_ _f"> </span><span class="fc8"><<<span class="_
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<div id="pf43" class="pf w0 h0" data-page-no="43"><div class="pc pc43 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,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"/><div class="t m0 x5 h7 y7 ff1 fs3 fc1 sc0 ls0 ws0">Floating-p<span class="_ _c"></span>oint<span class="_ _8"> </span>Compa<span class="_ _5"></span>rison<span class="_ _68"> </span>2/3</div><div class="t m0 x1 hb y7d ff1 fs7 fc0 sc0 ls0 ws0">Solution:<span class="_ _a"> </span><span class="ff4">Use<span class="_ _d"> </span>relative<span class="_ _e"> </span>error</span></div><div class="t m0 x18 h9 y285 ff1d fs5 fc0 sc0 ls0 ws0">|<span class="ff10">a</span>−<span class="ff10">b<span class="_ _c"></span></span>|</div><div class="t m0 xa4 h10 y286 ff10 fs5 fc0 sc0 ls0 ws0">b</div><div class="t m0 x1d hb y7d ff1a fs7 fc0 sc0 ls0 ws0"><<span class="_ _12"> </span>ε</div><div class="t m0 xf he y287 ff5 fs8 fc7 sc0 ls0 ws0">bool<span class="_ _f"> </span><span class="ffb fc4">areFloatNearlyEqual<span class="fc0">(</span></span>float<span class="_ _f"> </span><span class="ffb fc0">a,<span class="_ _a">
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<div id="pf44" class="pf w0 h0" data-page-no="44"><div class="pc pc44 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,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"/><div class="t m0 x5 h7 y7 ff1 fs3 fc1 sc0 ls0 ws0">Floating-p<span class="_ _c"></span>oint<span class="_ _8"> </span>Compa<span class="_ _5"></span>rison<span class="_ _68"> </span>3/3</div><div class="t m0 x1 hb y7d ff4 fs7 fc0 sc0 ls0 ws0">P<span class="_ _5"></span>ossible<span class="_ _e"> </span>solution:</div><div class="t m0 xa5 h9 y285 ff1d fs5 fc0 sc0 ls0 ws0">|<span class="ff10">a</span>−<span class="ff10">b<span class="_ _c"></span></span>|</div><div class="t m0 x63 h9 y294 ff6 fs5 fc0 sc0 ls0 ws0">max(<span class="ff1d">|<span class="ff10">a<span class="_ _c"></span></span>|<span class="ff25">,</span>|<span class="ff10">b<span class="_ _c"></span></span>|</span>)</div><div class="t m0 xa6 hb y7d ff1a fs7 fc0 sc0 ls0 ws0"><<span class="_ _12"> </span>ε</div><div class="t m0 xf he y287 ff5 fs8 fc7 sc0 ls0 ws0">bool<span class="_ _f"> </span><span class="ffb fc4">
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<div id="pf45" class="pf w0 h0" data-page-no="45"><div class="pc pc45 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA4wAAAH/CAIAAACTgcSzAAAACXBIWXMAABYlAAAWJQFJUiTwAAAIYUlEQVR42u3YsQ3CMBCGURvFSskMUSomQIgaic2yRMZJkSGyAVVK3JiOBUJxQu8NcMVffbo8Xu8JAADC2NblZAUAAKIRqQAAiFQAABCpAACIVAAAEKkAAIhUAAAQqQAAiFQAABCpAAAgUgEAEKkAACBSAQAQqQAAIFIBABCpAAAgUgEAEKkAACBSAQBApAIAIFIBAECkAgAgUgEAQKQCACBSAQBApAIAgEgFAECkAgCASAUAQKQCAIBIBQBApAIAgEgFAECkAgCASAUAAJEKAIBIBQAAkQoAgEgFAACRCgCASAUAAJEKAAAiFQAAkQoAACIVAACRCgAAIhUAAJEKAAAiFQAAkQoAACIVAABEKgAAIhUAAEQqAAAiFQAARCoAACIVAABEKgAAfOVaqxUAAIijlOKTCgBAOCIVAACRCgAAIhUAAJEKAAAiFQAAkQoAACIVAACRCgAAIhUAAEQqAAAiFQAARCoAACIVAABEKgAAIhUAAEQqAAAiFQAARCoAAIhUAABEKgAAiFQAAEQqAACIVAAARCoAAIhUAAAQqQAAiFQAABCpAACIVAAAEKkAAIhUAAAQqQAAiFQAABCpAAAgUgEAEKkAACBSAQAQqQAAIFIBABCpAAAgUgEAQKQCACBSAQBApAIAIFIBAECkAgAgUgEAQKQCACBSAQBApAIAgEgFAECkAgCASAUAQKQCAIBIBQBApAIAgEgFAACRCgCASAUAAJEKAIBIBQAAkQoAgEgFAACRCgCASAUAAJEKAAAiFQAAkQoAACIVAACRCgAAIhUAAJEKAAAiFQAARCoAACIVAABEKgAAIhUAAEQqAAAiFQAARCoAACIVAABEKgAAiFQAAEQqAACIVAAARCoAAIhUAABEKgAAiFQAABCpAACIVAAAEKkAAIhUAAAQqQAAiFQAABCpAACIVAAAEKkAACBSAQAQqQAAIFIBABCpAAAgUgEAEKkAACBSAQBApAIAIFIBAECkAgAgUgEAQKQCACBSAQBApAIAIFIBAECkAgCASAUAQKQCAIBIBQBApAIAgEgFAECkAgCASAUAAJEKAIBIBQAAkQoAgEgFAACRCgCASAUAAJEKAIBIBQAAkQoAACIVAACRCgAAIhUAAJEKAAAiFQAAkQoAACIVAACRagIAAEQqAACIVAAARCoAAIhUAABEKgAAiFQAAEQqAACIVAAAEKkAAIhUAAAQqQAAiFQAABCpAACIVAAAEKkAAIhUAAAQqQAAIFIBABCpAAAgUgEAEKkAACBSAQAQqQAAIFIBAECkAgAgUgEAQKQCACBSAQBApAIAIFIBAECkAgAgUgEAQKQCAIBIBQBApAIAgEgFAECkAgCASAUAQKQCAIBIBQAAkQoAgEgFAACRCgCASAUAAJEKAIBIBQAAkQoAgEgFAACRCgAAIhUAAJEKAAAiFQAAkQoAACIVAACRCgAAIhUAAEQqAAAiFQAARCoAACIVAABEKgAAIhUAAEQqAAAiFQAARCoAAIhUAABEKgAAiFQAAEQqAACIVAAARCoAAIhUAAAQqQAAiFQAABCpAACIVAAAEKkAAIhUAAAQqQAAiFQAABCpAAAgUgEAEKkAACBSAQAQqQAAIFIBABCpAAAgUgEAQKQCACBSAQBApAIAIFIBAECkAgAgUgEAQKQCACBSAQBApAIAgEgFAECkAgCASAUAQKQCAIBIBQBApAIAgEgFAACRCgCASAUAAJEKAIBIBQAAkQoAgEgFAACRCgCASAUAAJEKAAAiFQAAkQoAACIVAACRCgAAIhUAAJEKAAAiFQAARCoAACIVAABEKgAAIhUAAEQqAAAiFQAARCoAACIVAABEKgAAiFQAAEQqAACIVAAARCoAAIhUAABEKgAAiFQAAEQqAACIVAAAEKkAAIhUAAAQqQAAiFQAABCpAACIVAAAEKkAACBSAQAQqQAAIFIBABCpAAAgUgEAEKkAACBSAQAQqQAAIFIBAECkAgAgUgEAQKQCACBSAQBApAIAIFIBAECkAgCASAUAQKQCAIBIBQBApAIAgEgFAECkAgCASAUAQKQCAIBIBQAAkQoAgEgFAACRCgCASAUAAJEKAIBIBQAAkQoAACIVAACRCgAAIhUAAJEKAAAiFQAAkQoAACIVAACRCgAAIhUAAEQqAAAiFQAARCoAACIVAABEKgAAIhUAAEQqAACIVAAARCoAAIhUAABEKgAAiFQAAEQqAACIVAAARCoAAIhUAAAQqQAAiFQAABCpAACIVAAAEKkAAIhUAAAQqQAAIFIBABCpAAAgUgEAEKkAACBSAQAQqQAAIFIBABCpAAAgUgEAQKQCACBSAQBApAIAIFIBAECkAgAgUgEAQKQCAIBIBQBApAIAgEgFAECkAgCASAUAQKQCAIBIBQBApAIAgEgFAACRCgCASAUAAJEKAIBIBQAAkQoAgEgFAACRCgAAIhUAAJEKAAAiFQAAkQoAACIVAACRCgAAIhUAAJEKAAAiFQAARCoAACIVAABEKgAAIhUAAEQqAAAiFQAARCoAACLVBAAAiFQAABCpAACIVAAAEKkAAIhUAAAQqQAAiFQAABCpAAAgUgEAEKkAACBSAQAQqQAAIFIBABCpAAAgUgEAEKkAACBSAQBApAIAIFIBAECkAgAgUgEAQKQCACBSAQBApAIAgEgFAECkAgCASAUAQKQCAIBIBQBApAIAgEgFAECkAgCASAUAAJEKAIBIBQAAkQoAgEgFAACRCgCASAUAAJEKAAAiFQAAkQoAACIVAACRCgAAIhUAAJEKAAAiFQAAkQoAACIVAABEKgAAIhUAAEQqAAD/o9unwQoAABzxesw/vHa5PXM+921/p9RaMy8AACF8AJPSFAQzWfQRAAAAAElFTkSuQmCC"/><div class="t m0 x5 h7 y7 ff1 fs3 fc1 sc0 ls0 ws0">Minimize<span class="_ _8"> </span>Error<span class="_ _8"> </span>Propagation<span class="_ _8"> </span>-<span class="_ _8"> </span>Summary</div><div class="t m0 xb hb y5d ffd fs7 fc0 sc0 ls0 ws0">•<span class="_ _4"> </span><span class="ff4">Prefer<span class="_ _e"> </span><span class="ff1">multiplication/division<span class="_ _e"> </span></span>rather<span class="_ _e"> </span>than<span class="_ _e"> </span>addition/subtraction</span></div><div class="t m0 xb hb y29e ffd fs7 fc0 sc0 ls0 ws0">•<span class="_ _4"> </span><span class="ff4">T<span class="_ _6"></span>ry<span class="_ _e"> </span>to<span class="_ _e"> </span>reorganize<span class="_ _d"> </span>the<span class="_ _e"> </span>computation<span class="_ _e"> </span>to<span class="_ _e"> </span><span class="ff1">keep<span class="_ _e"> </span>near<span class="_ _d"> </span></span>numb<span class="_ _c"></span>ers<span class="_ _e"> </span>with<span class="_ _
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<div id="pf46" class="pf w0 h0" data-page-no="46"><div class="pc pc46 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA4wAAAH/CAIAAACTgcSzAAAACXBIWXMAABYlAAAWJQFJUiTwAAAIYElEQVR42u3YIQ7CQBCG0V3STSVnaKo4ASFoEm7WS/Q4FT1Eb4CqZM3i0FVkQt7To371ZfJ4vScAAAhjW5eTFQAAiEakAgAgUgEAQKQCACBSAQBApAIAIFIBAECkAgAgUgEAQKQCAIBIBQBApAIAgEgFAECkAgCASAUAQKQCAIBIBQBApAIAgEgFAACRCgCASAUAAJEKAIBIBQAAkQoAgEgFAACRCgAAIhUAAJEKAAAiFQAAkQoAACIVAACRCgAAIhUAAJEKAAAiFQAARCoAACIVAABEKgAAIhUAAEQqAAAiFQAARCoAAIhUAABEKgAAiFQAAEQqAACIVAAARCoAAIhUAABEKgAAiFQAABCpAACIVAAAEKkAAIhUAAAQqQAAiFQAABCpAADwlWutVgAAII5Sik8qAADhiFQAAEQqAACIVAAARCoAAIhUAABEKgAAiFQAAEQqAACIVAAAEKkAAIhUAAAQqQAAiFQAABCpAACIVAAAEKkAAIhUAAAQqQAAIFIBABCpAAAgUgEAEKkAACBSAQAQqQAAIFIBAECkAgAgUgEAQKQCACBSAQBApAIAIFIBAECkAgAgUgEAQKQCAIBIBQBApAIAgEgFAECkAgCASAUAQKQCAIBIBQAAkQoAgEgFAACRCgCASAUAAJEKAIBIBQAAkQoAgEgFAACRCgAAIhUAAJEKAAAiFQAAkQoAACIVAACRCgAAIhUAAEQqAAAiFQAARCoAACIVAABEKgAAIhUAAEQqAAAiFQAARCoAAIhUAABEKgAAiFQAAEQqAACIVAAARCoAAIhUAAAQqQAAiFQAABCpAACIVAAAEKkAAIhUAAAQqQAAiFQAABCpAAAgUgEAEKkAACBSAQAQqQAAIFIBABCpAAAgUgEAQKQCACBSAQBApAIAIFIBAECkAgAgUgEAQKQCACBSAQBApAIAgEgFAECkAgCASAUAQKQCAIBIBQBApAIAgEgFAACRCgCASAUAAJEKAIBIBQAAkQoAgEgFAACRCgCASAUAAJEKAAAiFQAAkQoAACIVAACRCgAAIhUAAJEKAAAiFQAARCoAACIVAABEKgAAIhUAAEQqAAAiFQAARCoAACIVAABEKgAAiFQAAEQqAACIVAAARCoAAIhUAABEKgAAiFQAAESqCQAAEKkAACBSAQAQqQAAIFIBABCpAAAgUgEAEKkAACBSAQBApAIAIFIBAECkAgAgUgEAQKQCACBSAQBApAIAIFIBAECkAgCASAUAQKQCAIBIBQBApAIAgEgFAECkAgCASAUAAJEKAIBIBQAAkQoAgEgFAACRCgCASAUAAJEKAIBIBQAAkQoAACIVAACRCgAAIhUAAJEKAAAiFQAAkQoAACIVAABEKgAAIhUAAEQqAAAiFQAARCoAACIVAABEKgAAIhUAAEQqAACIVAAARCoAAIhUAABEKgAAiFQAAEQqAACIVAAAEKkAAIhUAAAQqQAAiFQAABCpAACIVAAAEKkAAIhUAAAQqQAAIFIBABCpAAAgUgEAEKkAACBSAQAQqQAAIFIBAECkAgAgUgEAQKQCACBSAQBApAIAIFIBAECkAgAgUgEAQKQCAIBIBQBApAIAgEgFAECkAgCASAUAQKQCAIBIBQAAkQoAgEgFAACRCgCASAUAAJEKAIBIBQAAkQoAgEgFAACRCgAAIhUAAJEKAAAiFQAAkQoAACIVAACRCgAAIhUAAEQqAAAiFQAARCoAACIVAABEKgAAIhUAAEQqAAAiFQAARCoAAIhUAABEKgAAiFQAAEQqAACIVAAARCoAAIhUAAAQqQAAiFQAABCpAACIVAAAEKkAAIhUAAAQqQAAiFQAABCpAAAgUgEAEKkAACBSAQAQqQAAIFIBABCpAAAgUgEAEKkAACBSAQBApAIAIFIBAECkAgAgUgEAQKQCACBSAQBApAIAgEgFAECkAgCASAUAQKQCAIBIBQBApAIAgEgFAECkAgCASAUAAJEKAIBIBQAAkQoAgEgFAACRCgCASAUAAJEKAAAiFQAAkQoAACIVAACRCgAAIhUAAJEKAAAiFQAAkQoAACIVAABEKgAAIhUAAEQqAAAiFQAARCoAACIVAABEKgAAiFQAAEQqAACIVAAARCoAAIhUAABEKgAAiFQAAEQqAACIVAAAEKkAAIhUAAAQqQAAiFQAABCpAACIVAAAEKkAACBSAQAQqQAAIFIBABCpAAAgUgEAEKkAACBSAQAQqQAAIFIBAECkAgAgUgEAQKQCACBSAQBApAIAIFIBAECkAgCASAUAQKQCAIBIBQBApAIAgEgFAECkAgCASAUAQKQCAIBIBQAAkQoAgEgFAACRCgCASAUAAJEKAIBIBQAAkQoAACIVAACRCgAAIhUAAJEKAAAiFQAAkQoAACIVAACRCgAAIhUAAEQqAAAiFQAARCoAACIVAABEKgAAIhUAAEQqAACIVAAARCoAAIhUAABEKgAAiFQAAEQqAACIVAAARCoAAIhUAAAQqQAAiFQAABCpAACIVAAAEKkAAIhUAAAQqQAAiFQTAAAgUgEAQKQCACBSAQBApAIAIFIBAECkAgAgUgEAQKQCAIBIBQBApAIAgEgFAECkAgCASAUAQKQCAIBIBQBApAIAgEgFAACRCgCASAUAAJEKAIBIBQAAkQoAgEgFAACRCgAAIhUAAJEKAAAiFQAAkQoAACIVAACRCgAAIhUAAJEKAAAiFQAARCoAACIVAABEKgAAIhUAAEQqAAAiFQAARCoAAIhUAABEKgAAiFQAAEQqAACIVAAARCoAAIhUAABEKgAAiFQAABCpAACIVAAAEKkAAPyPbp8GKwAA8AOvx3zk7HJ75nzu2/5OqbVmNwAAQvgATb4UBJnxdyYAAAAASUVORK5CYII="/><div class="t m0 x5 h7 y7 ff1 fs3 fc1 sc0 ls0 ws0">References</div><div class="t m0 x1 hb y2a5 ff1 fs7 fc0 sc0 ls0 ws0">Suggest<span class="_ _7"> </span>readings<span class="ff4">:</span></div><div class="t m0 xd h6 y2a6 ffd fs4 fc0 sc0 ls0 ws0">•<span class="_ _4"> </span><span class="ff9">What<span class="_ _a"> </span>Every<span class="_ _4"> </span>Computer<span class="_ _a"> </span>Scientist<span class="_ _4"> </span>Should<span class="_ _a"> </span>Know<span class="_ _a"> </span>About<span class="_ _4"> </span>Floating-Point<span class="_ _a"> </span>Arithmetic</span></div><div class="t m0 xd h6 y2a7 ffd fs4 fc0 sc0 ls0 ws0">•<span class="_ _4"> </span><span class="ff9">Do<span class="_ _a"> </span>Developers<span class="_ _4"> </span>Understand<span class="_ _a"> </span>IEEE<span class="_ _4"> </span>Floating<span class="_ _a"> </span>Point?</span></div><div class="t m0 xd h6 y2a8 ffd fs4 fc0 sc0 ls0 ws0">•<span class="_ _4"> </span><span class="ff9">Yet<span c
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