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Thu, 25 Mar 2021 20:57:53 -0300 (ADT) Received: from [192.168.0.3] ([24.207.90.194]) by Eastlink with ESMTP id PZrMlHeku54V7PZrMlNdX2; Thu, 25 Mar 2021 20:57:52 -0300 X-Authority-Analysis: v=2.4 cv=PJ/KRdmC c=1 sm=1 tr=0 ts=605d2380 a=zv49KfEsxEDzuN5AGO7r0Q==:117 a=zv49KfEsxEDzuN5AGO7r0Q==:17 a=IkcTkHD0fZMA:10 a=gir0-LH0AAAA:8 a=GNb2EfLzTAL9RxBr3HsA:9 a=QEXdDO2ut3YA:10 a=aLewGyoHDmJ4ULJHWpSz:22 a=fCgQI5UlmZDRPDxm0A3o:22 X-Vade-Cause: gggruggvucftvghtrhhoucdtuddrgeduledrudehuddgudehucetufdoteggodetrfdotffvucfrrhhofhhilhgvmecugfetuffvnffkpffmpdfqfgfvnecuuegrihhlohhuthemuceftddtnecunecujfgurhepuffvfhfhkffffgggjggtgfesthekredttdefjeenucfhrhhomheptfgrhicutehnughrvgifshcuoehrrgihrghnughrvgifshesvggrshhtlhhinhhkrdgtrgeqnecuggftrfgrthhtvghrnhepkedvueeuffefhfdvueeiteffvddtvdejgeeujeekieduheeiteeiheegtedvhfefnecukfhppedvgedrvddtjedrledtrdduleegnecuvehluhhsthgvrhfuihiivgeptdenucfrrghrrghmpehinhgvthepvdegrddvtdejrdeltddrudelgedphhgvlhhopegludelvddrudeikedrtddrfegnpdhmrghilhhfrhhomheprhgrhigrnhgurhgvfihssegvrghsthhlihhnkhdrtggrpdhrtghpthhtohepiihshhdquhhsvghrshesiihshhdrohhrghdpghgvthdqkghiphfrrghsshifugepthhruhgv X-Vade-Score: 0 X-Vade-State: 0 X-EL-IP-NOAUTH: 24.207.90.194 Subject: Re: arithmetic anomaly To: zsh-users@zsh.org References: <0227b30d-4f09-2c8b-1248-557859d875ce@eastlink.ca> <79FD66A8-76A5-4F76-9F3A-D6481F920862@larryv.me> From: Ray Andrews Message-id: <8464f5c6-7455-d055-c5eb-f4942b7fcb20@eastlink.ca> Date: Thu, 25 Mar 2021 16:57:52 -0700 User-Agent: Mozilla/5.0 (X11; Linux x86_64; rv:78.0) Gecko/20100101 Thunderbird/78.8.0 MIME-version: 1.0 In-reply-to: Content-type: text/plain; charset=utf-8; format=flowed Content-transfer-encoding: 8bit Content-language: en-US X-Seq: 26605 Archived-At: X-Loop: zsh-users@zsh.org Errors-To: zsh-users-owner@zsh.org Precedence: list Precedence: bulk Sender: zsh-users-request@zsh.org X-no-archive: yes List-Id: List-Help: List-Subscribe: List-Unsubscribe: List-Post: List-Owner: List-Archive: Archived-At: On 2021-03-25 3:54 p.m., Roman Perepelitsa wrote: > On Thu, Mar 25, 2021 at 11:44 PM Ray Andrews > wrote: > > On 2021-03-25 1:40 p.m., Lawrence Velázquez wrote: > > > > The bad news is that *all* your figures -- your numerators, Brett's > > numerators, and the denominators -- are actually incorrect for > > level=15 and higher. > Sheesh, what gives?  Seems no accuracy beyond 15 digits? > > > Indeed. 64-bit floating point numbers usually have 15.95 decimal > digits of precision. Depending on the compiler and how you write your > code, you might get higher precision but in practice many projects > turn this off because having borderline non-deterministic results of > computation sucks. That's for sure.  I'd rather the result was truncated.  Why show garbage?  Nuts, why compute garbage?