From 868f7a4053502783ab0348736230f093a78f3d46 Mon Sep 17 00:00:00 2001 From: Philippe De Muyter Date: Fri, 6 Nov 2009 09:33:27 -0800 Subject: Fix spelling of (Newton-)Raphson --- sysdeps/powerpc/fpu/e_sqrt.c | 6 +++--- sysdeps/powerpc/fpu/e_sqrtf.c | 6 +++--- 2 files changed, 6 insertions(+), 6 deletions(-) (limited to 'sysdeps') diff --git a/sysdeps/powerpc/fpu/e_sqrt.c b/sysdeps/powerpc/fpu/e_sqrt.c index 24e0dd3523..e95b786a00 100644 --- a/sysdeps/powerpc/fpu/e_sqrt.c +++ b/sysdeps/powerpc/fpu/e_sqrt.c @@ -35,7 +35,7 @@ extern const float __t_sqrt[1024]; /* The method is based on a description in Computation of elementary functions on the IBM RISC System/6000 processor, P. W. Markstein, IBM J. Res. Develop, 34(1) 1990. - Basically, it consists of two interleaved Newton-Rhapson approximations, + Basically, it consists of two interleaved Newton-Raphson approximations, one to find the actual square root, and one to find its reciprocal without the expense of a division operation. The tricky bit here is the use of the POWER/PowerPC multiply-add operation to get the @@ -44,7 +44,7 @@ extern const float __t_sqrt[1024]; The argument reduction works by a combination of table lookup to obtain the initial guesses, and some careful modification of the generated guesses (which mostly runs on the integer unit, while the - Newton-Rhapson is running on the FPU). */ + Newton-Raphson is running on the FPU). */ #ifdef __STDC__ double @@ -102,7 +102,7 @@ __slow_ieee754_sqrt (x) /* complete the INSERT_WORDS (sx, sxi, xi1) operation. */ sx = iw_u.value; - /* Here we have three Newton-Rhapson iterations each of a + /* Here we have three Newton-Raphson iterations each of a division and a square root and the remainder of the argument reduction, all interleaved. */ sd = -(sg * sg - sx); diff --git a/sysdeps/powerpc/fpu/e_sqrtf.c b/sysdeps/powerpc/fpu/e_sqrtf.c index 8e8138a17d..ca44fac559 100644 --- a/sysdeps/powerpc/fpu/e_sqrtf.c +++ b/sysdeps/powerpc/fpu/e_sqrtf.c @@ -35,7 +35,7 @@ extern const float __t_sqrt[1024]; /* The method is based on a description in Computation of elementary functions on the IBM RISC System/6000 processor, P. W. Markstein, IBM J. Res. Develop, 34(1) 1990. - Basically, it consists of two interleaved Newton-Rhapson approximations, + Basically, it consists of two interleaved Newton-Raphson approximations, one to find the actual square root, and one to find its reciprocal without the expense of a division operation. The tricky bit here is the use of the POWER/PowerPC multiply-add operation to get the @@ -44,7 +44,7 @@ extern const float __t_sqrt[1024]; The argument reduction works by a combination of table lookup to obtain the initial guesses, and some careful modification of the generated guesses (which mostly runs on the integer unit, while the - Newton-Rhapson is running on the FPU). */ + Newton-Raphson is running on the FPU). */ #ifdef __STDC__ float @@ -90,7 +90,7 @@ __slow_ieee754_sqrtf (x) sg = t_sqrt[0]; sy = t_sqrt[1]; - /* Here we have three Newton-Rhapson iterations each of a + /* Here we have three Newton-Raphson iterations each of a division and a square root and the remainder of the argument reduction, all interleaved. */ sd = -(sg * sg - sx); -- cgit v1.2.3