; RUN: opt -mtriple msp430 -passes=instcombine -S < %s | FileCheck %s
; Test case was copied from pow_fp_int.ll but adjusted for 16-bit int.
; Assuming that we can't generate test checks for the same reason (PR42740).
define double @pow_sitofp_const_base_fast(i16 %x) {
; CHECK-LABEL: @pow_sitofp_const_base_fast(
; CHECK-NEXT: [[TMP1:%.*]] = tail call afn float @llvm.powi.f32.i16(float 7.000000e+00, i16 [[X:%.*]])
; CHECK-NEXT: [[RES:%.*]] = fpext float [[TMP1]] to double
; CHECK-NEXT: ret double [[RES]]
;
%subfp = sitofp i16 %x to float
%pow = tail call afn float @llvm.pow.f32(float 7.000000e+00, float %subfp)
%res = fpext float %pow to double
ret double %res
}
define double @pow_uitofp_const_base_fast(i15 %x) {
; CHECK-LABEL: @pow_uitofp_const_base_fast(
; CHECK-NEXT: [[TMP1:%.*]] = zext i15 [[X:%.*]] to i16
; CHECK-NEXT: [[TMP2:%.*]] = tail call afn float @llvm.powi.f32.i16(float 7.000000e+00, i16 [[TMP1]])
; CHECK-NEXT: [[RES:%.*]] = fpext float [[TMP2]] to double
; CHECK-NEXT: ret double [[RES]]
;
%subfp = uitofp i15 %x to float
%pow = tail call afn float @llvm.pow.f32(float 7.000000e+00, float %subfp)
%res = fpext float %pow to double
ret double %res
}
define double @pow_sitofp_double_const_base_fast(i16 %x) {
; CHECK-LABEL: @pow_sitofp_double_const_base_fast(
; CHECK-NEXT: [[TMP1:%.*]] = tail call afn double @llvm.powi.f64.i16(double 7.000000e+00, i16 [[X:%.*]])
; CHECK-NEXT: ret double [[TMP1]]
;
%subfp = sitofp i16 %x to double
%pow = tail call afn double @llvm.pow.f64(double 7.000000e+00, double %subfp)
ret double %pow
}
define double @pow_uitofp_double_const_base_fast(i15 %x) {
; CHECK-LABEL: @pow_uitofp_double_const_base_fast(
; CHECK-NEXT: [[TMP1:%.*]] = zext i15 [[X:%.*]] to i16
; CHECK-NEXT: [[TMP2:%.*]] = tail call afn double @llvm.powi.f64.i16(double 7.000000e+00, i16 [[TMP1]])
; CHECK-NEXT: ret double [[TMP2]]
;
%subfp = uitofp i15 %x to double
%pow = tail call afn double @llvm.pow.f64(double 7.000000e+00, double %subfp)
ret double %pow
}
define double @pow_sitofp_double_const_base_2_fast(i16 %x) {
; CHECK-LABEL: @pow_sitofp_double_const_base_2_fast(
; CHECK-NEXT: [[LDEXPF:%.*]] = tail call afn float @ldexpf(float 1.000000e+00, i16 [[X:%.*]])
; CHECK-NEXT: [[RES:%.*]] = fpext float [[LDEXPF]] to double
; CHECK-NEXT: ret double [[RES]]
;
%subfp = sitofp i16 %x to float
%pow = tail call afn float @llvm.pow.f32(float 2.000000e+00, float %subfp)
%res = fpext float %pow to double
ret double %res
}
define double @pow_sitofp_double_const_base_power_of_2_fast(i16 %x) {
; CHECK-LABEL: @pow_sitofp_double_const_base_power_of_2_fast(
; CHECK-NEXT: [[SUBFP:%.*]] = sitofp i16 [[X:%.*]] to float
; CHECK-NEXT: [[MUL:%.*]] = fmul afn float [[SUBFP]], 4.000000e+00
; CHECK-NEXT: [[EXP2:%.*]] = tail call afn float @llvm.exp2.f32(float [[MUL]])
; CHECK-NEXT: [[RES:%.*]] = fpext float [[EXP2]] to double
; CHECK-NEXT: ret double [[RES]]
;
%subfp = sitofp i16 %x to float
%pow = tail call afn float @llvm.pow.f32(float 16.000000e+00, float %subfp)
%res = fpext float %pow to double
ret double %res
}
define double @pow_uitofp_const_base_2_fast(i15 %x) {
; CHECK-LABEL: @pow_uitofp_const_base_2_fast(
; CHECK-NEXT: [[TMP1:%.*]] = zext i15 [[X:%.*]] to i16
; CHECK-NEXT: [[LDEXPF:%.*]] = tail call afn float @ldexpf(float 1.000000e+00, i16 [[TMP1]])
; CHECK-NEXT: [[RES:%.*]] = fpext float [[LDEXPF]] to double
; CHECK-NEXT: ret double [[RES]]
;
%subfp = uitofp i15 %x to float
%pow = tail call afn float @llvm.pow.f32(float 2.000000e+00, float %subfp)
%res = fpext float %pow to double
ret double %res
}
define double @pow_uitofp_const_base_power_of_2_fast(i15 %x) {
; CHECK-LABEL: @pow_uitofp_const_base_power_of_2_fast(
; CHECK-NEXT: [[SUBFP:%.*]] = uitofp i15 [[X:%.*]] to float
; CHECK-NEXT: [[MUL:%.*]] = fmul afn float [[SUBFP]], 4.000000e+00
; CHECK-NEXT: [[EXP2:%.*]] = tail call afn float @llvm.exp2.f32(float [[MUL]])
; CHECK-NEXT: [[RES:%.*]] = fpext float [[EXP2]] to double
; CHECK-NEXT: ret double [[RES]]
;
%subfp = uitofp i15 %x to float
%pow = tail call afn float @llvm.pow.f32(float 16.000000e+00, float %subfp)
%res = fpext float %pow to double
ret double %res
}
define double @pow_sitofp_float_base_fast(float %base, i16 %x) {
; CHECK-LABEL: @pow_sitofp_float_base_fast(
; CHECK-NEXT: [[TMP1:%.*]] = tail call afn float @llvm.powi.f32.i16(float [[BASE:%.*]], i16 [[X:%.*]])
; CHECK-NEXT: [[RES:%.*]] = fpext float [[TMP1]] to double
; CHECK-NEXT: ret double [[RES]]
;
%subfp = sitofp i16 %x to float
%pow = tail call afn float @llvm.pow.f32(float %base, float %subfp)
%res = fpext float %pow to double
ret double %res
}
define double @pow_uitofp_float_base_fast(float %base, i15 %x) {
; CHECK-LABEL: @pow_uitofp_float_base_fast(
; CHECK-NEXT: [[TMP1:%.*]] = zext i15 [[X:%.*]] to i16
; CHECK-NEXT: [[TMP2:%.*]] = tail call afn float @llvm.powi.f32.i16(float [[BASE:%.*]], i16 [[TMP1]])
; CHECK-NEXT: [[RES:%.*]] = fpext float [[TMP2]] to double
; CHECK-NEXT: ret double [[RES]]
;
%subfp = uitofp i15 %x to float
%pow = tail call afn float @llvm.pow.f32(float %base, float %subfp)
%res = fpext float %pow to double
ret double %res
}
define double @pow_sitofp_double_base_fast(double %base, i16 %x) {
; CHECK-LABEL: @pow_sitofp_double_base_fast(
; CHECK-NEXT: [[TMP1:%.*]] = tail call afn double @llvm.powi.f64.i16(double [[BASE:%.*]], i16 [[X:%.*]])
; CHECK-NEXT: ret double [[TMP1]]
;
%subfp = sitofp i16 %x to double
%res = tail call afn double @llvm.pow.f64(double %base, double %subfp)
ret double %res
}
define double @pow_uitofp_double_base_fast(double %base, i15 %x) {
; CHECK-LABEL: @pow_uitofp_double_base_fast(
; CHECK-NEXT: [[TMP1:%.*]] = zext i15 [[X:%.*]] to i16
; CHECK-NEXT: [[TMP2:%.*]] = tail call afn double @llvm.powi.f64.i16(double [[BASE:%.*]], i16 [[TMP1]])
; CHECK-NEXT: ret double [[TMP2]]
;
%subfp = uitofp i15 %x to double
%res = tail call afn double @llvm.pow.f64(double %base, double %subfp)
ret double %res
}
define double @pow_sitofp_const_base_fast_i8(i8 %x) {
; CHECK-LABEL: @pow_sitofp_const_base_fast_i8(
; CHECK-NEXT: [[TMP1:%.*]] = sext i8 [[X:%.*]] to i16
; CHECK-NEXT: [[TMP2:%.*]] = tail call afn float @llvm.powi.f32.i16(float 7.000000e+00, i16 [[TMP1]])
; CHECK-NEXT: [[RES:%.*]] = fpext float [[TMP2]] to double
; CHECK-NEXT: ret double [[RES]]
;
%subfp = sitofp i8 %x to float
%pow = tail call afn float @llvm.pow.f32(float 7.000000e+00, float %subfp)
%res = fpext float %pow to double
ret double %res
}
define double @pow_sitofp_const_base_fast_i16(i16 %x) {
; CHECK-LABEL: @pow_sitofp_const_base_fast_i16(
; CHECK-NEXT: [[TMP1:%.*]] = tail call afn float @llvm.powi.f32.i16(float 7.000000e+00, i16 [[X:%.*]])
; CHECK-NEXT: [[RES:%.*]] = fpext float [[TMP1]] to double
; CHECK-NEXT: ret double [[RES]]
;
%subfp = sitofp i16 %x to float
%pow = tail call afn float @llvm.pow.f32(float 7.000000e+00, float %subfp)
%res = fpext float %pow to double
ret double %res
}
define double @pow_uitofp_const_base_fast_i8(i8 %x) {
; CHECK-LABEL: @pow_uitofp_const_base_fast_i8(
; CHECK-NEXT: [[TMP1:%.*]] = zext i8 [[X:%.*]] to i16
; CHECK-NEXT: [[TMP2:%.*]] = tail call afn float @llvm.powi.f32.i16(float 7.000000e+00, i16 [[TMP1]])
; CHECK-NEXT: [[RES:%.*]] = fpext float [[TMP2]] to double
; CHECK-NEXT: ret double [[RES]]
;
%subfp = uitofp i8 %x to float
%pow = tail call afn float @llvm.pow.f32(float 7.000000e+00, float %subfp)
%res = fpext float %pow to double
ret double %res
}
define double @pow_uitofp_const_base_afn_i16(i16 %x) {
; CHECK-LABEL: @pow_uitofp_const_base_afn_i16(
; CHECK-NEXT: [[SUBFP:%.*]] = uitofp i16 [[X:%.*]] to float
; CHECK-NEXT: [[POW:%.*]] = tail call afn float @llvm.pow.f32(float 7.000000e+00, float [[SUBFP]])
; CHECK-NEXT: [[RES:%.*]] = fpext float [[POW]] to double
; CHECK-NEXT: ret double [[RES]]
;
%subfp = uitofp i16 %x to float
%pow = tail call afn float @llvm.pow.f32(float 7.000000e+00, float %subfp)
%res = fpext float %pow to double
ret double %res
}
define double @powf_exp_const_int_fast(double %base) {
; CHECK-LABEL: @powf_exp_const_int_fast(
; CHECK-NEXT: [[TMP1:%.*]] = tail call fast double @llvm.powi.f64.i16(double [[BASE:%.*]], i16 40)
; CHECK-NEXT: ret double [[TMP1]]
;
%res = tail call fast double @llvm.pow.f64(double %base, double 4.000000e+01)
ret double %res
}
define double @powf_exp_const2_int_fast(double %base) {
; CHECK-LABEL: @powf_exp_const2_int_fast(
; CHECK-NEXT: [[TMP1:%.*]] = tail call fast double @llvm.powi.f64.i16(double [[BASE:%.*]], i16 -40)
; CHECK-NEXT: ret double [[TMP1]]
;
%res = tail call fast double @llvm.pow.f64(double %base, double -4.000000e+01)
ret double %res
}
; Negative tests
define double @pow_uitofp_const_base_fast_i16(i16 %x) {
; CHECK-LABEL: @pow_uitofp_const_base_fast_i16(
; CHECK-NEXT: [[SUBFP:%.*]] = uitofp i16 [[X:%.*]] to float
; CHECK-NEXT: [[MUL:%.*]] = fmul fast float [[SUBFP]], 0x4006757{{.*}}
; CHECK-NEXT: [[EXP2:%.*]] = tail call fast float @llvm.exp2.f32(float [[MUL]])
; CHECK-NEXT: [[RES:%.*]] = fpext float [[EXP2]] to double
; CHECK-NEXT: ret double [[RES]]
;
%subfp = uitofp i16 %x to float
%pow = tail call fast float @llvm.pow.f32(float 7.000000e+00, float %subfp)
%res = fpext float %pow to double
ret double %res
}
define double @pow_uitofp_const_base_2_fast_i16(i16 %x) {
; CHECK-LABEL: @pow_uitofp_const_base_2_fast_i16(
; CHECK-NEXT: [[SUBFP:%.*]] = uitofp i16 [[X:%.*]] to float
; CHECK-NEXT: [[EXP2:%.*]] = tail call fast float @llvm.exp2.f32(float [[SUBFP]])
; CHECK-NEXT: [[RES:%.*]] = fpext float [[EXP2]] to double
; CHECK-NEXT: ret double [[RES]]
;
%subfp = uitofp i16 %x to float
%pow = tail call fast float @llvm.pow.f32(float 2.000000e+00, float %subfp)
%res = fpext float %pow to double
ret double %res
}
define double @pow_uitofp_const_base_power_of_2_fast_i16(i16 %x) {
; CHECK-LABEL: @pow_uitofp_const_base_power_of_2_fast_i16(
; CHECK-NEXT: [[SUBFP:%.*]] = uitofp i16 [[X:%.*]] to float
; CHECK-NEXT: [[MUL:%.*]] = fmul fast float [[SUBFP]], 4.000000e+00
; CHECK-NEXT: [[EXP2:%.*]] = tail call fast float @llvm.exp2.f32(float [[MUL]])
; CHECK-NEXT: [[RES:%.*]] = fpext float [[EXP2]] to double
; CHECK-NEXT: ret double [[RES]]
;
%subfp = uitofp i16 %x to float
%pow = tail call fast float @llvm.pow.f32(float 16.000000e+00, float %subfp)
%res = fpext float %pow to double
ret double %res
}
define double @pow_uitofp_float_base_fast_i16(float %base, i16 %x) {
; CHECK-LABEL: @pow_uitofp_float_base_fast_i16(
; CHECK-NEXT: [[SUBFP:%.*]] = uitofp i16 [[X:%.*]] to float
; CHECK-NEXT: [[POW:%.*]] = tail call fast float @llvm.pow.f32(float [[BASE:%.*]], float [[SUBFP]])
; CHECK-NEXT: [[RES:%.*]] = fpext float [[POW]] to double
; CHECK-NEXT: ret double [[RES]]
;
%subfp = uitofp i16 %x to float
%pow = tail call fast float @llvm.pow.f32(float %base, float %subfp)
%res = fpext float %pow to double
ret double %res
}
define double @pow_uitofp_double_base_fast_i16(double %base, i16 %x) {
; CHECK-LABEL: @pow_uitofp_double_base_fast_i16(
; CHECK-NEXT: [[SUBFP:%.*]] = uitofp i16 [[X:%.*]] to double
; CHECK-NEXT: [[RES:%.*]] = tail call fast double @llvm.pow.f64(double [[BASE:%.*]], double [[SUBFP]])
; CHECK-NEXT: ret double [[RES]]
;
%subfp = uitofp i16 %x to double
%res = tail call fast double @llvm.pow.f64(double %base, double %subfp)
ret double %res
}
define double @pow_sitofp_const_base_no_fast(i16 %x) {
; CHECK-LABEL: @pow_sitofp_const_base_no_fast(
; CHECK-NEXT: [[SUBFP:%.*]] = sitofp i16 [[X:%.*]] to float
; CHECK-NEXT: [[POW:%.*]] = tail call float @llvm.pow.f32(float 7.000000e+00, float [[SUBFP]])
; CHECK-NEXT: [[RES:%.*]] = fpext float [[POW]] to double
; CHECK-NEXT: ret double [[RES]]
;
%subfp = sitofp i16 %x to float
%pow = tail call float @llvm.pow.f32(float 7.000000e+00, float %subfp)
%res = fpext float %pow to double
ret double %res
}
define double @pow_uitofp_const_base_no_fast(i16 %x) {
; CHECK-LABEL: @pow_uitofp_const_base_no_fast(
; CHECK-NEXT: [[SUBFP:%.*]] = uitofp i16 [[X:%.*]] to float
; CHECK-NEXT: [[POW:%.*]] = tail call float @llvm.pow.f32(float 7.000000e+00, float [[SUBFP]])
; CHECK-NEXT: [[RES:%.*]] = fpext float [[POW]] to double
; CHECK-NEXT: ret double [[RES]]
;
%subfp = uitofp i16 %x to float
%pow = tail call float @llvm.pow.f32(float 7.000000e+00, float %subfp)
%res = fpext float %pow to double
ret double %res
}
define double @pow_sitofp_const_base_2_no_fast(i16 %x) {
; CHECK-LABEL: @pow_sitofp_const_base_2_no_fast(
; CHECK-NEXT: [[LDEXPF:%.*]] = tail call float @ldexpf(float 1.000000e+00, i16 [[X:%.*]])
; CHECK-NEXT: [[RES:%.*]] = fpext float [[LDEXPF]] to double
; CHECK-NEXT: ret double [[RES]]
;
%subfp = sitofp i16 %x to float
%pow = tail call float @llvm.pow.f32(float 2.000000e+00, float %subfp)
%res = fpext float %pow to double
ret double %res
}
define double @pow_sitofp_const_base_power_of_2_no_fast(i16 %x) {
; CHECK-LABEL: @pow_sitofp_const_base_power_of_2_no_fast(
; CHECK-NEXT: [[SUBFP:%.*]] = sitofp i16 [[X:%.*]] to float
; CHECK-NEXT: [[MUL:%.*]] = fmul float [[SUBFP]], 4.000000e+00
; CHECK-NEXT: [[EXP2:%.*]] = tail call float @llvm.exp2.f32(float [[MUL]])
; CHECK-NEXT: [[RES:%.*]] = fpext float [[EXP2]] to double
; CHECK-NEXT: ret double [[RES]]
;
%subfp = sitofp i16 %x to float
%pow = tail call float @llvm.pow.f32(float 16.000000e+00, float %subfp)
%res = fpext float %pow to double
ret double %res
}
define double @pow_uitofp_const_base_2_no_fast(i16 %x) {
; CHECK-LABEL: @pow_uitofp_const_base_2_no_fast(
; CHECK-NEXT: [[SUBFP:%.*]] = uitofp i16 [[X:%.*]] to float
; CHECK-NEXT: [[EXP2:%.*]] = tail call float @llvm.exp2.f32(float [[SUBFP]])
; CHECK-NEXT: [[RES:%.*]] = fpext float [[EXP2]] to double
; CHECK-NEXT: ret double [[RES]]
;
%subfp = uitofp i16 %x to float
%pow = tail call float @llvm.pow.f32(float 2.000000e+00, float %subfp)
%res = fpext float %pow to double
ret double %res
}
define double @pow_uitofp_const_base_power_of_2_no_fast(i16 %x) {
; CHECK-LABEL: @pow_uitofp_const_base_power_of_2_no_fast(
; CHECK-NEXT: [[SUBFP:%.*]] = uitofp i16 [[X:%.*]] to float
; CHECK-NEXT: [[MUL:%.*]] = fmul float [[SUBFP]], 4.000000e+00
; CHECK-NEXT: [[EXP2:%.*]] = tail call float @llvm.exp2.f32(float [[MUL]])
; CHECK-NEXT: [[RES:%.*]] = fpext float [[EXP2]] to double
; CHECK-NEXT: ret double [[RES]]
;
%subfp = uitofp i16 %x to float
%pow = tail call float @llvm.pow.f32(float 16.000000e+00, float %subfp)
%res = fpext float %pow to double
ret double %res
}
define double @pow_sitofp_float_base_no_fast(float %base, i16 %x) {
; CHECK-LABEL: @pow_sitofp_float_base_no_fast(
; CHECK-NEXT: [[SUBFP:%.*]] = sitofp i16 [[X:%.*]] to float
; CHECK-NEXT: [[POW:%.*]] = tail call float @llvm.pow.f32(float [[BASE:%.*]], float [[SUBFP]])
; CHECK-NEXT: [[RES:%.*]] = fpext float [[POW]] to double
; CHECK-NEXT: ret double [[RES]]
;
%subfp = sitofp i16 %x to float
%pow = tail call float @llvm.pow.f32(float %base, float %subfp)
%res = fpext float %pow to double
ret double %res
}
define double @pow_uitofp_float_base_no_fast(float %base, i16 %x) {
; CHECK-LABEL: @pow_uitofp_float_base_no_fast(
; CHECK-NEXT: [[SUBFP:%.*]] = uitofp i16 [[X:%.*]] to float
; CHECK-NEXT: [[POW:%.*]] = tail call float @llvm.pow.f32(float [[BASE:%.*]], float [[SUBFP]])
; CHECK-NEXT: [[RES:%.*]] = fpext float [[POW]] to double
; CHECK-NEXT: ret double [[RES]]
;
%subfp = uitofp i16 %x to float
%pow = tail call float @llvm.pow.f32(float %base, float %subfp)
%res = fpext float %pow to double
ret double %res
}
define double @pow_sitofp_double_base_no_fast(double %base, i16 %x) {
; CHECK-LABEL: @pow_sitofp_double_base_no_fast(
; CHECK-NEXT: [[SUBFP:%.*]] = sitofp i16 [[X:%.*]] to double
; CHECK-NEXT: [[POW:%.*]] = tail call double @llvm.pow.f64(double [[BASE:%.*]], double [[SUBFP]])
; CHECK-NEXT: ret double [[POW]]
;
%subfp = sitofp i16 %x to double
%pow = tail call double @llvm.pow.f64(double %base, double %subfp)
ret double %pow
}
define double @pow_uitofp_double_base_no_fast(double %base, i16 %x) {
; CHECK-LABEL: @pow_uitofp_double_base_no_fast(
; CHECK-NEXT: [[SUBFP:%.*]] = uitofp i16 [[X:%.*]] to double
; CHECK-NEXT: [[POW:%.*]] = tail call double @llvm.pow.f64(double [[BASE:%.*]], double [[SUBFP]])
; CHECK-NEXT: ret double [[POW]]
;
%subfp = uitofp i16 %x to double
%pow = tail call double @llvm.pow.f64(double %base, double %subfp)
ret double %pow
}
; negative test - pow with no FMF is not the same as the loosely-specified powi
define double @powf_exp_const_int_no_fast(double %base) {
; CHECK-LABEL: @powf_exp_const_int_no_fast(
; CHECK-NEXT: [[RES:%.*]] = tail call double @llvm.pow.f64(double [[BASE:%.*]], double 4.000000e+01)
; CHECK-NEXT: ret double [[RES]]
;
%res = tail call double @llvm.pow.f64(double %base, double 4.000000e+01)
ret double %res
}
define double @powf_exp_const_not_int_fast(double %base) {
; CHECK-LABEL: @powf_exp_const_not_int_fast(
; CHECK-NEXT: [[SQRT:%.*]] = call fast double @llvm.sqrt.f64(double [[BASE:%.*]])
; CHECK-NEXT: [[POWI:%.*]] = tail call fast double @llvm.powi.f64.i16(double [[BASE]], i16 37)
; CHECK-NEXT: [[RES:%.*]] = fmul fast double [[POWI]], [[SQRT]]
; CHECK-NEXT: ret double [[RES]]
;
%res = tail call fast double @llvm.pow.f64(double %base, double 3.750000e+01)
ret double %res
}
define double @powf_exp_const_not_int_no_fast(double %base) {
; CHECK-LABEL: @powf_exp_const_not_int_no_fast(
; CHECK-NEXT: [[RES:%.*]] = tail call double @llvm.pow.f64(double [[BASE:%.*]], double 3.750000e+01)
; CHECK-NEXT: ret double [[RES]]
;
%res = tail call double @llvm.pow.f64(double %base, double 3.750000e+01)
ret double %res
}
; negative test - pow with no FMF is not the same as the loosely-specified powi
define double @powf_exp_const2_int_no_fast(double %base) {
; CHECK-LABEL: @powf_exp_const2_int_no_fast(
; CHECK-NEXT: [[RES:%.*]] = tail call double @llvm.pow.f64(double [[BASE:%.*]], double -4.000000e+01)
; CHECK-NEXT: ret double [[RES]]
;
%res = tail call double @llvm.pow.f64(double %base, double -4.000000e+01)
ret double %res
}
declare float @llvm.pow.f32(float, float)
declare double @llvm.pow.f64(double, double)