• 제목/요약/키워드: logarithmic arithmetic

검색결과 11건 처리시간 0.021초

A Reconfigurable Lighting Engine for Mobile GPU Shaders

  • Ahn, Jonghun;Choi, Seongrim;Nam, Byeong-Gyu
    • JSTS:Journal of Semiconductor Technology and Science
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    • 제15권1호
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    • pp.145-149
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    • 2015
  • A reconfigurable lighting engine for widely used lighting models is proposed for low-power GPU shaders. Conventionally, lighting operations that involve many complex arithmetic operations were calculated by the shader programs on the GPU, which led to a significant energy overhead. In this letter, we propose a lighting engine to improve the energy-efficiency by supporting the widely used advanced lighting models in hardware. It supports the Blinn-Phong, Oren-Nayar, and Cook-Torrance models, by exploiting the logarithmic arithmetic and optimizing the trigonometric function evaluations for the energy-efficiency. Experimental results demonstrate 12.7%, 42.5%, and 35.5% reductions in terms of power-delay product from the shader program implementations for each lighting model. Moreover, our work shows 10.1% higher energy-efficiency for the Blinn-Phong model compared to the prior art.

A summertime near-ground velocity profile of the Bora wind

  • Lepri, Petra;Kozmar, Hrvoje;Vecenaj, Zeljko;Grisogono, Branko
    • Wind and Structures
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    • 제19권5호
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    • pp.505-522
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    • 2014
  • While effects of the atmospheric boundary layer flow on engineering infrastructure are more or less known, some local transient winds create difficulties for structures, traffic and human activities. Hence, further research is required to fully elucidate flow characteristics of some of those very unique local winds. In this study, important characteristics of observed vertical velocity profiles along the main wind direction for the gusty Bora wind blowing along the eastern Adriatic coast are presented. Commonly used empirical power-law and the logarithmic-law profiles are compared against unique 3-level high-frequency Bora measurements. The experimental data agree well with the power-law and logarithmic-law approximations. An interesting feature observed is a decrease in the power-law exponent and aerodynamic surface roughness length, and an increase in friction velocity with increasing Bora wind velocity. This indicates an urban-like velocity profile for smaller wind velocities and rural-like velocity profile for larger wind velocities, which is due to a stronger increase in absolute velocity at each of the heights observed as compared to the respective velocity gradient (difference in average velocity among two different heights). The trends observed are similar during both the day and night. The thermal stratification is near neutral due to a strong mechanical mixing. The differences in aerodynamic surface roughness length are negligible for different time averaging periods when using the median. For the friction velocity, the arithmetic mean proved to be independent of the time record length, while for the power-law exponent both the arithmetic mean and the median are not influenced by the time averaging period. Another issue is a large difference in aerodynamic surface roughness length when calculating using the arithmetic mean and the median. This indicates that the more robust median is a more suitable parameter to determine the aerodynamic surface roughness length than the arithmetic mean value. Variations in velocity profiles at the same site during different wind periods are interesting because, in the engineering community, it has been commonly accepted that the aerodynamic characteristics at a particular site remain the same during various wind regimes.

상용로그표의 비례부분에 대한 역사적 고찰 (A History of the Common Logarithmic Table with Proportional Parts)

  • 김태수
    • 한국수학사학회지
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    • 제27권6호
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    • pp.409-419
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    • 2014
  • In school mathematics, the logarithmic function is defined as the inverse function of an exponential function. And the natural logarithm is defined by the integral of the fractional function 1/x. But historically, Napier had already used the concept of logarithm in 1614 before the use of exponential function or integral. The calculation of the logarithm was a hard work. So mathematicians with arithmetic ability made the tables of values of logarithms and people used the tables for the estimation of data. In this paper, we first take a look at the mathematicians and mathematical principles related to the appearance and the developments of the logarithmic tables. And then we deal with the confusions between mathematicians, raised by the estimation data which were known as proportional parts or mean differences in common logarithmic tables.

모바일 그래픽 응용을 위한 파이프라인 구조 특수 목적 연산회로의 하드웨어 설계 (Hardware Design of Pipelined Special Function Arithmetic Unit for Mobile Graphics Application)

  • 최병윤
    • 한국정보통신학회논문지
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    • 제17권8호
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    • pp.1891-1898
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    • 2013
  • 3차원 그래픽 API인 OpenGL과 Direct3D를 효율적으로 처리하기 위해 sine, cosine, 역수, 역제곱근, 지수 및 로그 연산을 처리하는 부동소수점 연산회로를 설계하였다. 고속 연산과 2 ulp 보다 작은 오차를 만족시키기 위해 2차 최대최소 근사 방식과 테이블 룩업 방식을 사용하였다. 설계된 회로는 65nm CMOS 표준 셀 조건에서 2.3-ns의 최대 지연시간을 갖고 있으며, 약 23,300 게이트로 구성된다. 최대 400 MFLOPS의 연산 성능과 높은 정밀도로, 설계한 연산회로는 3차원 모바일 그래픽 분야에 효율적으로 적용 가능하다.

ON A CLASS OF BIVARIATE MEANS INCLUDING A LOT OF OLD AND NEW MEANS

  • Raissouli, Mustapha;Rezgui, Anis
    • 대한수학회논문집
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    • 제34권1호
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    • pp.239-251
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    • 2019
  • In this paper we introduce a new formulation of symmetric homogeneous bivariate means that depends on the variation of a given continuous strictly increasing function on (0, ${\infty}$). It turns out that this class of means includes a lot of known bivariate means among them the arithmetic mean, the harmonic mean, the geometric mean, the logarithmic mean as well as the first and second Seiffert means. Using this new formulation we introduce a lot of new bivariate means and derive some mean-inequalities.

THE k-GOLDEN MEAN OF TWO POSITIVE NUMBERS AND ITS APPLICATIONS

  • Choi, Jin Ho;Kim, Young Ho
    • 대한수학회보
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    • 제56권2호
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    • pp.521-533
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    • 2019
  • In this paper, we define a mean of two positive numbers called the k-golden mean and study some properties of it. Especially, we show that the 2-golden mean refines the harmonic and the geometric means. As an application, we define the k-golden ratio and give some properties of it as an generalization of the golden ratio. Furthermore, we define the matrix k-golden mean of two positive-definite matrices and give some properties of it. This is an improvement of Lim's results [2] for which the matrix golden mean.

OFDM 시스템용 로그 수체계 기반의 저전력/저면적 FFT 프로세서 (An LNS-based Low-power/Small-area FFT Processor for OFDM Systems)

  • 박상덕;신경욱
    • 대한전자공학회논문지SD
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    • 제46권8호
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    • pp.53-60
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    • 2009
  • 로그 수체계 기반의 저전력/저면적 128점 FFT 프로세서를 수체계 변환 오차와 하드웨어 최소화 방법을 적용하여 설계하였다. FFT 프로세서의 핵심 연산인 복소수 승산과 가/갑산 연산을 기존의 2의 보수 수체계 대신 로그 수체계를 적용하여 가산기와 look-up table (LUT)로 구현하였으며, 이를 통하여 2의 보수 수체계 기반의 FFT 프로세서에 비해 약 21%의 게이트와 16%의 메모리를 감소시켰으며, 약 18%의 소비전력 감소가 얻어졌다. 설계된 LNS기 반 FFT 프로세서를 0.35 ${\mu}m$ CMOS 표준 셀로 합성한 결과, 33,910개의 게이트와 2,880 비트의 메모리로 구현되었으며, 60 MHz@2.5V로 동작하여 128점 FFT 연산에 2.13 ${\mu}s$ 가 소요되며, 평균 40.7 dB의 SQNR 성능을 갖는다.

Toxicity of Fungicides in vitro to Cylindrocarpon destructans

  • A.Monique Ziezold;Robert Hall;Richard D.Reeleder;John T.A.Proctor
    • Journal of Ginseng Research
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    • 제22권4호
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    • pp.223-228
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    • 1998
  • As part of a study on the ability of fungicides to control disappearing root rot of ginseng (Panax quinquvdius) caused by Cylindruarpn destmtans, 15 fungicides were screened for toxicity to the fungus in vitro. Highly toxic fungicides were Benlate (benomyl), Thiram (thiram), and Orbit (propiconazole). EC5O values (mg a.i./L) were less than 1 and EC95 values were less than 10. Crown (carbathiin and thiabendazole), ASC-66835 (fluazinam), and UBI-2584 (tebuconazole) were moderately toxic, with EC5O values in the range 1-10 and EC95 values in the range 32-45. Weakly toxic fungicides (EC5O in the range 20-80, EC95 in the range 35-140) included UBI-2643 (thiabendazole), UBI-2565 (cyproconazole), and Vitaflo-280 (carbathiin and thiram). Anvil (hexaconazole), Vitaflo-250 (carbathiin), UBI-2383 (triadimenol), Daconil (chlorothalonil), CGA-173506 (fludioxonil), and CGA-169374 (difeno- conazole) were considered nontoxic to C. destmtan (EC5O 1.29->600, EC95>500). Relations between proportional inhibition of growth and concentration of fungicide were linear on arithmetic plots (Benlate, UBI-2643, UBI-2565, Vitaflo-280) or logarithmic plots (all other fungicides). Based on toxicity in vitro and formulation, it is recommended that Benlate, Orbit, and ASC-66835 be tested as soil drenches, and Benlate, Thiram, UBI-2584, and Crown be tested as seed treatments for controlling disappearing root rot.

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한 도시 분진의 유해성 입도 분포에 대한 조사 연구 (Particle Size Distribution of Suspended Particulates in the Atmosphere of a Seoul Residential Area)

  • 한의정;정용;권숙표
    • Journal of Preventive Medicine and Public Health
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    • 제19권1호
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    • pp.130-136
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    • 1986
  • The particle size of suspended particulates was measured by a Anderson air sampler from Mar. 1982 to Feb. 1984 in a part of Seoul. It was concluded as follows : 1) The arithmetic concentration of suspended particulates was $147.8{\mu}g/m^3$ in Spring, 136.9 in Summer, 131.9 in Autumn and 158.1 in Winter respectively. 2) The cumulative distribution of suspended particulates size in logarithmic diagram showed similar to normal log distribution. 3) The atmospheric particulate matters showed a bimodal size distribution on the base of unit particle concentrations, which divided at approximately $2{\mu}m$ in the diameter. 4) While the fine particulates less than $2.1{\mu}m\;was\;35.4{\sim}45.0%$, the coarse particulates was $55.0{\sim}64.5%$. 5) The higher the concentration of suspended particulates, the more increased the ratio of fine particulates. The higher the concentration of suspended particulates, the lower median size of suspended particulate as well. 6) The respirable dust particulates less than $4.7{\mu}m\;was\;52.2{\sim}62.9%$ in seasonal average through the 2 year samples. With the above result, air pollution concerned with public health could be evaluated and the control measures also are suggested.

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고속 부동소수점 근사연산용 로그변환 회로 (High Precision Logarithm Converters for Binary Floating Point Approximation Operations)

  • 문상국
    • 한국정보통신학회:학술대회논문집
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    • 한국해양정보통신학회 2010년도 춘계학술대회
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    • pp.809-811
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    • 2010
  • 3차원 그래픽 응용이 가능한 소형 모바일 기기에서의 부동소수점 연산 처리는 전력소모가 많고 하드웨어 비용이 많이 들며 연산 해상도가 너무 정확한 연산보다는 적절한 해상도를 확보하되 하드웨어 자원을 적게 소모하고 전력소모가 낮을수록 바람직하다. 비용이 많이 소요되는 부동소수점 연산은 곱셈과 나눗셈이며, 로그 변환을 이용하면 곱셈과 나눗셈을 덧셈과 뺄셈으로 변환하여 고속 동작을 구현할 수 있으며, 이는 로그 함수값을 얼마나 실제값에 근사화 시킬 수 있는지에 따라 성능이 좌우된다. 본 연구에서는 이러한 고속 부동소수점 연산에 적용될 수 있는 로그변환 회로에 대한 동향을 조사하되, 설계 시 중요하게 고려해야 할 점과 로그변환 회로가 어떻게 근사화되고 적용될 수 있는지에 대하여 상세히 분석한다.

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